Mathematics High School

What is the solution to 2x-8<12 ?
A. X<2
B. X<8
C. X<10
D. X<40

Answers

Answer 1
2x - 8 < 12
2x < 12 + 8
2x < 20
x < 20/2
x < 10
Answer 2

Answer:

x < 10

Step-by-step explanation:

Related Questions

What is the range of this set of heights in centimeters?

{140, 166, 132, 165, 152, 168, 181, 158, 173, 171, 180, 182, 163, 177, 180, 142, 147, 149, 178}

38
41
46
50

(If you can help me with this maybe you can help me with my last posted question? It hasn't been answered and I need help!)

Answers

First, arrange your data from least (smallest number) to greatest (biggest number): {132,140, 142, 147, 149, 152, 158, 163, 165, 166, 168, 171, 173, 177, 178, 180, 180, 181, 182}
Second, subtract your greatest number from your smallest number: 182-132 = 50
Therefore, your answer is: 50

Final answer:

The range of the given set of heights is 50 cm, which is determined by subtracting the smallest height (132 cm) from the largest height (182 cm) in the set.

Explanation:

The range of a set of numbers is the difference between the largest and the smallest numbers in the set. To find the range of the given heights in centimeters, you first identify the largest and smallest numbers in the set {140, 166, 132, 165, 152, 168, 181, 158, 173, 171, 180, 182, 163, 177, 180, 142, 147, 149, 178}. The smallest height is 132 cm, and the largest is 182 cm.

Now, subtract the smallest value from the largest value to determine the range:

Range = Largest value – Smallest value

Range = 182 cm – 132 cm

Range = 50 cm

Therefore, the range of the given set of heights is 50 cm.

How do you find the vertex of this parabola? I just plotted the points down on a graphing calculator, but I figure there's a better way.

Answers

When you look at the table, find the y value that has equivalent values on both sides. For example, the y value for the vertex here is 10. After it, the values are 7,-2, and 17, and above it, the values are 7 and -2. This value should also be either the largest y value or smallest y value (depending on whether the parabola opens up or down).

There were 490 people at play. The admission price was $3.00 for adults and $1.00 for children. The admission receipts were $990. How many adults and children attended

Answers

Hope this helps! This is system of equations.
a + c = 490....a = 490 - c
3a + c = 990

3(490 - c) + c = 990
1470 - 3c + c = 990
-3c + c = 990 - 1470
-2c = - 480
c = -480 / -2
c = 240 <=== there were 240 children

a + c = 490
a + 240 = 490
a = 490 - 240
a = 250 <== there were 250 adults

Find the value of x. If necessary, round your answer to the nearest tenth. O is the center of the circle. The figure is not drawn to scale.


A. 13
B. 26
C. 77
D. 38.5

Answers

AB = CD   [given]
OA = OB = OC = OD    [radii]
So, ΔOAB = ΔOCD  (SSS)

In congruent triangles all corresponding angles and are congruent, so 
∠x = ∠COD = 77°

What property is illustrated by the equation (8 + 2) + 7 = (2 + 8) + 7? A. Commutative property of addition B. Associative property of Addition C. Distributive property D. Identity Property of Addition

Answers

I believe it would be D because you can change it around. If not it would be A!
The Associative Law of Addition states that a + (b + c) = (a + b) + c.

So, B. Associative property of Addition.

What is the difference between discrete vs continuous data


And can someone please help me with 1-5

Answers

With continuous data, it is possible to find the midpoint of any two distinct values. For instance, if h = height of tree, then its possible to find the middle height of h = 10 and h = 7 (which in this case is h = 8.5)

On the other hand, discrete data can't be treated the same way (eg: if n = number of people, then there is no midpoint between n = 3 and n = 4). 

-------------------------------------

With that in mind, we have the following answers

1) Continuous data. Time values are always continuous. Any two distinct time values can be averaged to find the midpoint

2) Continuous data. Like time values, temperatures can be averaged as well. 

3) Discrete data. Place locations in a race or competition are finite and we can't have midpoints. We can't have a midpoint between 9th and 10th place for instance.

4) Continuous data. We can find the midpoint and it makes sense to do so when it comes to speeds. 

5) Discrete data. This is a finite number and countable. We cannot have 20.5 freshman for instance.

A fast typist can type 120 words in 100 seconds. In 180 seconds, how many words could be typed?

Answers

100 seconds --- 120 words 
180 seconds --- x words

[tex]x= \cfrac{180*120}{100}=18*12=216 \ \text{words}[/tex]

Answer:

216

Step-by-step explanation:

i think

A box contains seven green marbles, six blue marbles and eight orange marbles. Without looking, you choose two marbles out of the bag. What is the probability that the first two picked will both be green if you don’t replace the marble after the first pick?

Answers

1/10 .the first one is 7 out of 21 of them and the second one is 6 out of 20 , and 7/20 times 6/20 is 1/10

The probability is 0.1  (or 10%).

It is required to find  the probability.

What is probability?

probability is the ratio of the number of favorable outcomes and the total number of possible outcomes.

Given that:

The favorable count is determined as follows: considering Green marbles. There are 7 of them in the box, so 7 possible picks at the first draw.

Since you don't replace the pick, at the next drawing there are only 6 Green ones. So for each of the 7 possible first picks, there are 6 possible second picks: number of possibilities is 7 by 6 = 42.

The total number of possible drawings, irrespective of color is determined as follows: there are 21 marbles in total at first drawing, and 20 at second. So, for each first pick there are 20 possibilities, i.e., total number is 21 by 20 = 420

The probability is P = 42 / 420 = 1 / 10 = 0.1  (or 10%)

So, the probability is 0.1  (or 10%).

Learn more about probability here:

https://brainly.com/question/4609631

#SPJ2

Which regular polygon can be drawn by using rotations in geometry software?

Answers

For drawing a regular polygon of n side using rotation we can say 360 degree must be divisible by 360.
Since we can draw a Hexagon because 360/6 = 60 degree.So we can draw a hexagon using 60 degree rotation(where result will be your exterior angle. So in this we can say 60 degree will be exterior angle.)
Similarly we can draw a 12 - gon. because 360/12 = 30 degree.So we can draw a 12 gon using 30 degree rotation.

Answer:

n- regular polygon

Step-by-step explanation:

In order to draw n- regular polygons, 360 must be divisible by n.

Therefore, there are many regular polygons such as 12- polygon using 30° rotations and 15-polygon using 24° rotations.


Probability of a lightbulb failing question? If the probability is .001 that a light bulb will fail on any given day, then what is the probability that it will last at least 30 days?

Answers

the probability will be 0.03

A candy factory made 54 boxes of chocolates. Each box weighs 2 pounds. They packed the boxes in 6 cases with the same number of boxes in each case. How many pounds of chocolates were there in each case?

Answers

There was 18 pounds of chocolate in each case

The number of pounds of chocolates in each case is 18 pounds

How to find the number of pounds in each case?

The  candy factory made 54 boxes of chocolates.

Each box weighs 2 pounds

Therefore,

each box = 2 pounds

They packed the boxes in 6 cases with the same number of boxes in each case. Therefore,

Boxes in each case = 54 / 6 = 9 boxes

Therefore,

pounds of chocolates in each case = 9 × 2 = 18 pounds

learn more on pounds here: https://brainly.com/question/14686792

#SPJ2

What is the domain of the relation: (0, 7), (8, -1), (2, 3), (-4, 6)?

A. (-4, 0, 2, 8)

B. (-1, 3, 6, 7)

C. (1, 7, 8, -1)

D. (2, 3, -4, 6)

Answers

The answer should be A.
When asked for the domain and given a set of ordered pairs, the domain is always all of the x values ordered from least to greatest.

Solve for z: 3z -5 +2z=25 -5z

Answers

To answer this question you will have to combine like terms.

3z-5+2z=25-5z

Combine 3z and 2z first because they have z in common and are on the same side: 3z+2z=5z

Now you have -5+5z=25-5z

Now you will go ahead and distribute since you can't combine anymore on certain sides.

You can add 5 to 25 on the other side: 25+5=30

Then add 5z to 5z on the other side: 5z+5z=10z

So now your equation should look like this: 10z=30

From here you will have to divide both sides by 10: 10/10=1(since it came to 1 it will just stay as z instead of 1z) 30/10=3

So your solution should come to: z=3

The mean incubation time for a type of fertilized egg kept at 100.2100.2â°f is 2323 days. suppose that the incubation times are approximately normally distributed with a standard deviation of 11 dayday. â(a) what is the probability that a randomly selected fertilized egg hatches in less than 2121 âdays? â(b) what is the probability that a randomly selected fertilized egg hatches between 2222 and 2323 âdays? â(c) what is the probability that a randomly selected fertilized egg takes over 2525 days toâ hatch?

Answers

To solve this problem, what we have to do is to calculate for the z scores of each condition then find the probability using the standard normal probability tables for z.

The formula for z score is:

z = (x – u) / s

where,

x = sample value

u = sample mean = 23 days

s = standard deviation = 1 day

 

A. P when x < 21 days

z = (21 – 23) / 1

z = -2

Using the table,

P = 0.0228

Therefore there is a 2.28% probability that the hatching period is less than 21 days.

 

B. P when 23 ≥ x ≥ 22

z (x=22) = (22 – 23)  / 1 = -1

P (z=-1) = 0.1587

 

z (x=23) = (23 – 23) / 1 = 0

P (z=0) = 0.5

 

P = 0.5 - 0.1587 = 0.3413

Therefore there is a 34.13% probability that the hatching period is between 22 and 23 days.

 

C. P when x > 25

z = (25 – 23) / 1

z = 2

P = 0.9772

This is not yet the answer since this probability refers to the left of z. Therefore the correct probability is:

P true = 1 – 0.9772

P true = 0.0228

Therefore there is a 2.28% probability that the hatching period is more than 25 days.

Write an equation that can be used to find the area A of a rectangular rug whose sides are 5 feet long and x feet long

Answers

Area has two dimensions: the length and the width. It is measured in square units such as square feet, square meters or square inches. To solve for the area of a rectangle, multiply the length by the width, with the formula: A = L * W where A is the area, L is the length, W is the width. Given 5 feet for the length and x feet for the width, substitute the given to the formula to come up with an equation A=5x.

A.) How many ways can you select 1 flavor of ice cream, 1 topping and 1 drink if there are 5 flavors of ice cream, 3 toppings and 4 drinks to choose from?
B.) How many ways can you select a 4-digit passcode without repeating any digit?
C.) How many ways can you select 3 toppings for a pizza with 8 toppings to choose from?
D.) What is the probability of rolling a single die and it landing on a prime number? (Remember, the number 1 is not considered prime.)
E.) How many items are in the sample space for rolling a die and spinning a spinner with 4 different colored sections (red, yellow, green and blue)?
F.) What is the probability of rolling the die and spinning the 4-sectioned spinner described in part E, and getting the number 5 and the color red?
G.) If you wanted to purchase a size T-shirt that "most" people could wear, would you purchase the mean size, the median size or the mode size?

Answers

A) you can combine any of the 5 ice-creams with any of the 3 toppings and any of the 4 drinks.

This means a total of 5*3*4=60 ways.

B) assuming that the first digit can be 0, we have 10 choices for the 1. digit, 9 for the 2., 8 for the third and 7 choices for the fourth digit.

In total, there are 10*9*8*7=5040 passwords we can create.

C) Selection of 3 objects out of 8, can be done in

C(8, 3)=8!/(3!5!)=(8*7*6)/3!=8*7=56 many ways.

D.

P(prime)=n(prime)/n{1, 2, 3, 4, 5, 6}=n{2, 3, 5}/6=3/6=1/2=0.5

E.

any of the 6 outcomes of rolling a die, can be combined with any of the 4 colors.

for example (1, red), (1, yellow), (1, green), (1, blue).

so in total, there are 6*4=24 items in the sample space.

F.
(5, red) is just one of the 24 items in the sample space, so its probability is 1/24= 0.0417

G.

the mode, as it is the size which appears the most.


Answers:

A.60

B.5040

C.56

D. 0.5

E.24

F.1/24= 0.0417

G.mode




Which expression is equivalent to r^9/r^3

Answers

[tex] \cfrac{r^9}{r^3} =r^{9-3}=r^6[/tex]

Answer:

The correct option is B.

Step-by-step explanation:

The given expression is

[tex]\frac{r^9}{r^3}[/tex]

According to the property of exponent,

[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]

Using this property of exponent, we get

[tex]\frac{r^9}{r^3}=r^{9-3}[/tex]

[tex]\frac{r^9}{r^3}=r^{6}[/tex]

The expression [tex]r^{6}[/tex] is equivalent to the given expression.

Therefore the correct option is B.

What is the initial value of the function represented by this graph?

A coordinate grid is shown with x and y axes labeled from 0 to 7 at increments of 1. A straight line joins the ordered pair 0, 2 with the ordered pair 7, 5.
0
1
2
5

Answers

The initial value of a function is the value of the function when x = 0

 o when x = 0, y = 2 so the initial value is 2

Answer:

2

Step-by-step explanation:

The initial value is what you start off with, so it is 2! :)

Can you use matrix multiplication with a matrix with three rows and a matrix with two columns

Answers

Maybe.  if a mxn matrix is multiplied by a nxp matrix, you can and will get a mxp matrix result.

Which point is a solution of x + 2y ≤ 4?
A. (2,4)
B. (1,1)
C. (3,5)
D. (-1,5)

Answers

B. (1,1), That's the only answer that is actually in the shaded part of the graph. The other points are off and on the other side of the line.

When $n$ is divided by 10, the remainder is $a$. when $n$ is divided by 13, the remainder is $b$. what is $n$ modulo 130, in terms of $a$ and $b$?

Answers

If

N = a (mod 10)

N = b (mod 13)

gcd(10,13) = 1

then

N = 10 bx + 13 ay (mod 130)

Where

10x + 13y = 1

-> (10x + 13) (mod 2) = 1 (mod 2)

-> y (mod 2) = 1

y = -3, x = 4

-> N = 40b – 39a (mod 130)

 

It is given that  ra + sb should be non-negative:

 

N = 40b – 39a (mod 130)

N = 40b + (130 – 39)a (mod 130)

N = 40b + 91a (mod 130)

 

Therefore, N modulo 130, in terms of a and b is: N = 40b + 91a (mod 130).

Final answer:

To find the value of n modulo 130 in terms of a and b, one must solve two congruences using the Chinese Remainder Theorem. The solution would require computations beyond the scope of this response and would result in n expressed as a linear combination of a and b modulo 130.

Explanation:

To solve for the values of n modulo 130, given that when n is divided by 10, the remainder is a, and when n is divided by 13, the remainder is b, we can express n in the following forms:

n = 10k + a, where k is some integer

n = 13l + b, where l is some integer

Since 10 and 13 are coprime, Chinese Remainder Theorem tells us that there is a unique solution for n modulo 130 that satisfies both of these congruences. To find n in terms of a and b, we must find k and l such that these two equations give the same n for a particular value of n between 0 and 129 inclusive. This can be done through careful calculations or using a method designed for solving simultaneous congruences.

Once the suitable k and l values are found, the value of n modulo 130 can be stated. Since the exact solution requires more context or computational techniques, we can't provide the specific number in this case, but the final answer will be in the form: n ≡ (something involving a and b) (mod 130).

Find x 58 degrees and adjacent 4.0

Answers

A special kind of triangle is a right triangle whose definite characteristic is having a 90° angle. It is also special because there are derived trigonometric formulas/identities that can be applied to it. A right triangle has three sides: hypotenuse, adjacent side and opposite side. The hypotenuse is the longest side of the right triangle. You can determine this visually, if not, quantitatively. The other sides are with respect to a given angle.

For the problem, it might have asked for the opposite side or the hypotenuse. We use the cosine function to find the hypotenuse:

cos 58° = adjacent/hypotenuse = 4/hypotenuse
hypotenuse = 7.55 units

Then, we use the tangent function to find the opposite side.

tan 58° = opposite/adjacent = opposite/4
opposite = 6.4 units

The table below shows the surface area y, in square feet, of a shrinking lake in x days: Time (x) (days) 5 10 15 20 Surface area (y) (square feet) 90 85 70 61 Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and surface area of the lake. [Choose the value of the correlation coefficient from −1, −0.98, −0.5, −0.02.] (4 points) Part B: What is the value of the slope of the graph of surface area versus time between 15 and 20 days, and what does the slope represent? (3 points) Part C: Does the data in the table represent correlation or causation? Explain your answer. (3 points)

Answers

PART A:
Given the table below showing the surface area y, in square feet, of a shrinking lake in x days.

Time (x) (hours):                                5          10         15        20
Surface area (y) (square inches):     90         85         70        61

We can find the correlation coeficient of the data using the table below:
[tex]\begin{center} \begin{tabular} {|c|c|c|c|c|} x & y & x^2 & y^2 & xy \\ [1ex] 5 & 90 & 25 & 8,100 & 450\\ 10 & 85 & 100 & 7,225 & 850\\ 15 & 70 & 225 & 4,900 & 1,050\\ 20 & 61 & 400 & 3,721 & 1,220\\ [1ex] \Sigma x=50 & \Sigma y=306 & \Sigma x^2=750 & \Sigma y^2=23,946 & \Sigma xy=3,570 \end{tabular} \end{center}[/tex]

Recall that the correlation coefitient is given by the equation:
[tex]r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{ \sqrt{(n\Sigma x^2-(\Sigma x)^2)(n\Sigma y^2-(\Sigma y)^2)} } \\ \\ = \frac{4(3,570)-(50)(306)}{ \sqrt{(4(750)-(50)^2)(4(23,946)-(306)^2)} } \\ \\ = \frac{14,280-15,300}{ \sqrt{(3,000-2,500)(95,784-93,636)}} = \frac{-1,020}{ \sqrt{500(2,148)}} \\ \\ = \frac{-1,020}{ \sqrt{1,074,000} } = \frac{-1,020}{1,036} =-0.98[/tex]

From the value of the correlation coeffeicient, it can be deduced that the surface area of the lake has a strong negative relationship with the time.

Recall the for the value of the correlation coeficient closer to +1, the relationship is strong positive, for the value closer to -1, the value is strong negative and for the values closer to zero, either way of zero is a weak positive if it is positive and weak negative if it is negative.


PART B:
Recall that the slope of a straight line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
is given by
[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]

Thus, the slope of the graph of surface area versus time between 15 and 20 days, [i.e. the line passes through points (15, 70) and (20, 61)] is given by
[tex]m= \frac{61-70}{20-15}= \frac{-9}{5} =-1.8[/tex]

The value of the slope means that the surface area y, in square feet, of the shrinking lake, shrinks by 1.8 square feet every day between the day 15 and day 20.


PART C:
We can say that the data above represent both correlation and causation.

Recall that correlation expresses the relationship between two variables while causation expresses that an event is as a result of another event.

From the information above, we have seen that there is a relationship (correlation) between the passing of days and the shrink in the surface area of the lake.

Also we can conclude that the shrink in the surface area of the lake is a function of the passing of days, i.e. the shrink in the surface area of the lake is as a result of the passing of days.

Therefore, the data in the table represent both correlation and causation.

One number exceeds another by 11. the sum of the numbers is 3535. what are the​ numbers?

Answers

x + x + 11 = 3535
2x + 11 = 3535
2x = 3524
x = 1762

1762 and 1773

Mika wrote the table of points below. x y 0 2 3 5 6 8 Which explains whether or not Mika has described a proportional relationship, and why?

Answers

Answer:

B

Step-by-step explanation:

Edg 2020

Answer:

Step-by-step explanation: Answer B

no idea. please help:)

Answers

the answer is in the picture 

NEED HELP!!!!!!!!!!!!!!!

Which factorizations can be used to identify the real zeros of the function f(x)=-20x^2+23x-6 ?

A. (-10x+2)(2x+3)
B. -(10x+2)(2x-3)
C. -(4x-3)(5x+2)
D. -(4x-3)(5x-2)

Answers

It's D, it's the only one where it has a -6 at the end other than A, but if you look at the A when distributed there isn't a 23x

Answer:

Option D. [tex]-(4x-3)(5x-2)[/tex]

Step-by-step explanation:

we have

[tex]f(x)=-20x^{2}+23x-6[/tex]

Equate the function to zero

[tex]-20x^{2}+23x-6=0[/tex]

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex]-20x^{2}+23x=6[/tex]

Factor the leading coefficient

[tex]-20(x^{2}-(23/20)x)=6[/tex]

Complete the square. Remember to balance the equation by adding the same constants to each side

[tex]-20(x^{2}-(23/20)x+(529/1,600))=6-(529/80)[/tex]

[tex]-20(x^{2}-(23/20)x+(529/1,600))=-(49/80)[/tex]

[tex](x^{2}-(23/20)x+(529/1,600))=(49/1,600)[/tex]

Rewrite as perfect squares

[tex](x-(23/40))^{2}=(49/1,600)[/tex]

[tex](x-(23/40))=(+/-)(7/40)[/tex]

[tex]x=(23/40)(+/-)(7/40)[/tex]

[tex]x=(23/40)(+)(7/40)=30/40=3/4[/tex]

[tex]x=(23/40)(-)(7/40)=16/40=2/5[/tex]

therefore

[tex]-20x^{2}+23x-6=-20(x-(3/4))(x-(2/5))[/tex]

[tex]-20x^{2}+23x-6=-(5)(4)(x-(3/4))(x-(2/5))[/tex]

[tex]-20x^{2}+23x-6=-(4x-3)(5x-2)[/tex]

How can you rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations?

Answers

Its probably easier to explain by doing an example.

Make a the subject of the formula

b^2 = 2as + c

subtract c from both sides:-
b^2 - c = 2as

Now divide both sides by 2s ( to isolate a):-

a = (b^2 - c) / 2s


Final answer:

You can rearrange formulas to highlight a specific quantity of interest by identifying it and isolating it using inverse operations.

Explanation:

In mathematics, you can rearrange formulas to highlight a specific quantity of interest using the same reasoning as in solving equations. The goal is to isolate the variable or the quantity you want to highlight on one side of the formula. Here are the steps to do it:

Identify the quantity of interest you want to highlight.

Apply inverse operations to isolate that quantity on one side of the equation/formula.

Simplify or solve for the highlighted quantity if needed.

For example, if you have the formula for the area of a rectangle, A = L * W, and you want to solve for the length of the rectangle, you can rearrange the formula as L = A / W, highlighting the length as the quantity of interest.

Learn more about Rearranging formulas

https://brainly.com/question/35707641

#SPJ3

Jonathan deposits $2000 into a bank account that pays 7% annual interest compounded annually. This means the bank pays him 7% of his account balance as interest at the end of each year, and he leaves the original amount and the interest in the account.
1. Write a recursive formula to model the situation described above. Use A0 to represent the initial amount invested. Then describe An, the next year’s balance, in terms of the current year’s balance, An-1.

Answers

For us to get the formula that models the above statement, we shall use the formula for compound interest. Compound interest is given by:
A=p(1+r/100)^n
where;
A=future amount=An
p=current amount=A0
r=rate=7%
n=time= 1 year
thus rewriting our formula we shall have:
An=A0(1+r)^n
The above is the model describing the information given for future cash flow;
hence, the amount in 1 year will be:
An=A0(1+0.07)^1
An=2000(1.07)^1
An=$2,140

Which of the following shows 2 + (x + 3y) rewritten using the Associative Property of Addition

Answers

2 + (x + 3y) rewritten using the Associative Property of Addition

(2 + x) + 3y ...>Associative Property of Addition

hope it helps

Answer:

[tex](2+x)+3y[/tex]

Step-by-step explanation:

In associative property , when we add the numbers we can group the numbers in any combination.

for example : [tex]a+(b+c)= (a+b)+c[/tex]

[tex]2 + (x + 3y)[/tex] can be written as [tex](2+x)+3y[/tex] using associative property.

The terms can be grouped in any combination

[tex](2+x)+3y[/tex]

Other Questions
Two times the least of three consecutive odd integers exceeds two times the greatest by 15. what are the integers Which is correct regarding the frequency of meals for toddlers and preschoolers? Franklin Delano Roosevelt's Infamy SpeechDecember 8, 1941"Yesterday, December 7, 1941a date which will live in infamythe United States of America was suddenly and deliberately attacked by naval and air forces of the Empire of Japan. The United States was at peace with that nation and, at the solicitation of Japan, was still in conversation with its Government and its Emperor looking toward the maintenance of peace in the Pacific. Indeed, one hour after Japanese air squadrons had commenced bombing in Oahu, the Japanese Ambassador to the United States and his colleague delivered to the Secretary of State a formal reply to a recent American message. While this reply stated that it seemed useless to continue the existing diplomatic negotiations, it contained no threat or hint of war or armed attack.It will be recorded that the distance of Hawaii from Japan makes it obvious that the attack was deliberately planned many days or even weeks ago. During the intervening time the Japanese Government has deliberately sought to deceive the United States by false statements and expressions of hope for continued peace.The attack yesterday on the Hawaiian Islands has caused severe damage to American naval and military forces. Very many American lives have been lost. In addition American ships have been reported torpedoed on the high seas between San Francisco and Honolulu.Yesterday the Japanese Government also launched an attack against Malaya. Last night Japanese forces attacked Hong Kong. Last night Japanese forces attacked Guam. Last night Japanese forces attacked the Philippine Islands. Last night the Japanese attacked Wake Island. This morning the Japanese attacked Midway Island.Japan has, therefore, undertaken a surprise offensive extending throughout the Pacific area. The facts of yesterday speak for themselves. The people of the United States have already formed their opinions and well understand the implications to the very life and safety of our nation.As Commander-in-Chief of the Army and Navy, I have directed that all measures be taken for our defense.Always will we remember the character of the onslaught against us. No matter how long it may take us to overcome this premeditated invasion, the American people in their righteous might will win through to absolute victory.I believe I interpret the will of the Congress and of the people when I assert that we will not only defend ourselves to the uttermost but will make very certain that this form of treachery shall never endanger us again.Hostilities exist. There is no blinking at the fact that our people, our territory and our interests are in grave danger.With confidence in our armed forceswith the unbounded determination of our peoplewe will gain the inevitable triumphso help us God.I ask that the Congress declare that since the unprovoked and dastardly attack by Japan on Sunday, December seventh, a state of war has existed between the United States and the Japanese Empire."Which answer best summarizes the nature of relations between the two countries prior to the attacks? Both parties knew that at some point war would be unavoidable. Neither party had anticipated the outbreak of war soon. Peaceful negotiations to ensure peace had been underway. Some hints that negotiations would prove fruitless had been given. What role did the spanish borderlands play in spanish relations with england? you want to get more physically fit but often make excuses for why you don't have time to be active what strategy can help with this problem The agricultural revolution led to the need for organized A. greenhouse gas reform. B. technological reform. C. government. D. pest control. A client is scheduled to receive a daily morning dose of furosemide. Which client laboratory result warrants a call to the health care provider (HCP) prior to the medication administration? Which of the following statements describes French service? A. Music is provided during the first course.B. The host serves the guests from the head of the table.C. Guests help themselves from a buffet table.D. The appropriate silver is placed before each course. What is the complete ionic equation for the reaction of hydrochloric acid with potassium hydroxide? h+ + cl- + k+ + oh- 2h+ + o2- + k+ + cl- h+ + cl- + k+ + oh- h2o + k+ + cl- h+ + oh- h2o none of the above 2h+ +2cl- + k2+ + 2oh- h2o + k2+ +2 cl-? Quiz 2: a _____ is any computer that provides services and connections to other computers on a network. The onset of rem sleep _____ the release of neurotransmitters called _____. The Pythagorean Theorem applies to ANY triangle in determining the length of an unknown side or leg given two of the other side or leg measures. True or False? The only people that share 100 percent of their genes with one another are if lines are parallel or perpendicular 4x-8y=9 and 8x-7y=9 Find the function y = f(t) passing through the point (0,12) PPLLEAAASSEEE HELP!!!! It's just 3 questions and I'm giving 25 points!!Joan of Arc (1412-1431), a national heroine of France, claimed to hear voices from God that called her to help the French drive the English out of France. Indeed, she led a French army in a victory over the English at Orleans. Later, a French court with English sympathies sentenced her to death. By her acts of bravery and by helping to unite the French, Joan contributed to the formation of a French national identity. Indeed, most French people view her as a symbol of national consciousness. This miniature painting was created around 1450, during the Late Middle Ages. European painting at that time started to show some of the naturalistic influence of the ancient Greek and Roman artists. However, these works retain some of the flatness that characterized medieval art. Document Analysis 1. How does this painting show the influence of religion on politics? 2. Do you think the painter of this picture viewed Joan of Arc as a heroine? Explain. 3. How does this painting combine the style of the ancient Greek and Roman artists with that of the artists of the Middle Ages? Give examples. Huilan's age is two times Thomas's age. The sum of their ages is 54. What is Thomas's age Which of the following graphs represents the function f(x) = 2x3 x2 + 3x + 1? graph with 3 real zeros, down on left, up on right graph with 3 real zeros, up on left, down on right graph with 2 real zeros, down on left, down on right graph with 2 real zeros, up on left, up on right "The Pit and the Pendulum" by Edgar Allan Poe What are the three ways that the narrator`s captors attempt to kill him? Which of the following characters would be considered an archetype? A. Troublesome dog B. Shy little girl C. Unhappy parent D. Funny sidekick Steam Workshop Downloader