the equation for the circle below is x ^2 + y^2 = 100. what is the length of the circles radius?

Answers

Answer 1

Answer: 10 units.

Step-by-step explanation:

The equation of the circle in Center-radius form is:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where the center is (h,k) and "r" is the radius.

The equation of the circle given is:

[tex]x ^2 + y^2 = 100[/tex]

You can observe that is written in Center-radius form.

Then, you can identify that:

[tex]r^2=100[/tex]

Knowing this, you need to solve for "r" to find the lenght of the radius.

This is:

[tex]r=\sqrt{100}\\\\r=10[/tex]

Therefore, the lenght of the radius is 10 units.


Related Questions

At the beginning of the season, MacDonald's had to remove 5 orange trees from his farm. Each of the remaining trees produced 210 oranges to a harvest of 41790 oranges.

Write a equation to determine the initial number of oranges on MacDonald farm.

Find the initial number orange trees on Macdonald farm.

Answers

Answer:

o = (41790/210)+5;0 = 204

Step-by-step explanation:

o = (41790/210)+5

o = 199+5

0 = 204

(pls give brainliest)

Answer: mcdonald Harvested oranges when there were 5 trees-210

So 1 tree is 210/5=42

41790 oranges come from _ trees

=41790/42

=995 trees

Step-by-step explanation:

find the value of x^3+y^3+15xy-125 if x+y=5

Answers

Answer:

0

Step-by-step explanation:

x+y=5

x^3+y^3+15xy-125

(x+y)(x^2-xy+y^2)+15xy-125

5(x^2-xy+y^2)+15xy-125

5x^2+5y^2-5xy+15xy-125

5x^2+5y^2+10xy-125

5[x^2+2xy+y^2]-125

5(x+y)^2-125

5(5)^2-125

125-125

0

find a·b

a=<5,2>,b=<4,5>

Answers

Answer:

[tex]\large\boxed{\vec{a}\circ\vec{b}=30}[/tex]

Step-by-step explanation:

[tex]\text{Let}\ \vec{u}=\left<a,\ b\right>\ \text{and}\ \vec{v}=\left<c,\ d\right>,\ \text{then}\\\\\vec{u}\circ\vec{v}=ac+bd\\\\==========================\\\\\vec{a}=\left<5,\ 2\right>,\ \vec{b}=\left<4,\ 5\right>\\\\\vec{a}\circ\vec{b}=(5)(4)+(2)(5)=20+10=30[/tex]

Find the area of a 120° sector of a circle whose radius is 6.

4 sq. units
12 sq. units
24 sq. units

Answers

ANSWER

[tex] 12\pi[/tex]

EXPLANATION

The area of sector is calculated using

[tex] \frac{angle\:of \: sector }{360 \degree} \times \pi \: {r}^{2} [/tex]

The angle of the sector is 120° and the radius of the circle is 6 units.

We substitute the given values into the formula to obtain:

[tex] \frac{120 \degree}{360} \times \pi \times {6}^{2} [/tex]

[tex] = \frac{120 \degree}{360} \times \pi \times 36[/tex]

[tex]= \frac{120 \degree}{10} \times \pi = 12\pi[/tex]

Hence the area of the sector is [tex] 12\pi[/tex]

The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation K = C + 273.15. When solved for C, the equation is

Answers

Answer:

C=K-273.15

Step-by-step explanation:

Here we are given the relation between the measurements of temperatures in Celsius C and Kelvin K . The relationship is as under

K=C+273.15

now we have to rewrite this equation so that we can evaluate C in terms of K

In  order to do so , we Subtract 273.15 from both sides.

K-273.15 = C + 273.15-273.15

K - 273.15=C

C=K-273.15

Question 4
Line c has a slope of 3/4. Line d is perpendicular to c and line d has a slope of --1. True or False
True
False
O

Answers

Answer:

False

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex]

Given a line with m = [tex]\frac{3}{4}[/tex]

Then the slope of the line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{\frac{3}{4} }[/tex] = - [tex]\frac{4}{3}[/tex]

Which shows the best path to find the number of centimiters in 1 yard

Answers

For this case we have by definition that one yard equals 91.44 centimeters.

We propose a rule of three that allows you to find the number of centimeters in any number of yards:

1yd ------------> 91.44cm

x ------------> y

[tex]y = \frac {x * 91.44} {1}\\y = x * 91.44[/tex]

Where:

y: It is the number of centimeters

x: It is the number of yards.

Answer:

one yard equals 91.44 centimeters.

which are the possible side lengths of a triangle?​

Answers

Answer:

B) 4, 8, 10

Step-by-step explanation:

4+8 is greater than 10

4+10 is greater than 8

10+8 is greater than 4

Need help with 1-4.

Answers

Answer:

for number 4 the answer is 32 in (please read below)

Step-by-step explanation:

I will do one of them for now... how about number 4.

Similar triangles means we are going to setup a proportion:

                          Small triangle                                 Big Triangle

Corresponding       12                                                     15

Corresponding        x                                                      40

So the proportion is 12/x=15/40

cross multiply

12(40)=15(x)

Divide both sides by 15

giving x=12(40)/15=32

Try number 1... And I will check it for you (just post as a new question-I will be looking for it)

Answer:

1. 8 cm

2. 15 cm

3. 28 cm

4. 32 cm

Step-by-step explanation:

1. 12/6= 2

  20/10= 2

  Scale Factor= 2

  16/2= 8cm

2. 30/18= 1.6666667

   15/9= 1.6666667

   Scale Factor= 1.6666667

   25/1.6666667= 15cm

3. 16/12= 1.333333

   32/24= 1.333333

   Scale Factor= 1.333333

   (21)(1.333333)= 28cm

4. 15/12= 1.25

   25/20= 1.25

   Scale Factor= 1.25

   40/1.25= 32cm

Factor completely x2 + 20x + 99​

Answers

[tex]x^2 + 20x + 99=x^2+9x+11x+99=x(x+9)+11(x+9)=(x+11)(x+9)[/tex]

The similarity ratio of two similar polygons is 2:5. What is the ratio of their areas

Answers

Answer:

4 : 25

Step-by-step explanation:

Given the ratio of 2 similar figures = a : b, then

ratio of areas = a² : b²

Given the similarity ratio = 2 : 5, then

ratio of areas = 2² : 5² = 4 : 25

To determine the ratio of areas of two similar polygons, square the similarity ratio. For a ratio of 2:5, the area ratio is 4:25.

The ratio of the areas of two similar polygons is found by comparing the squares of their linear dimensions.

For example, if the similarity ratio of two polygons is 2:5, the ratio of their areas will be (2^2):(5^2), which simplifies to 4:25.

Therefore, the ratio of areas of polygons with a similarity ratio of 2:5 is 4:25.

Solve the following system of equations graphically. y - 4 = 0 2x - y - 2 = 0 What is the solution set?

Answers

Answer:

{[tex](x,y)|(x=3,y=4)[/tex]}

Step-by-step explanation:

The given system of equations is;

[tex]y-4=0...(1)[/tex]

and

[tex]2x-y-2=0...(2)[/tex]

We rewrite the equations in the standard form to get:

[tex]y=4...(3)[/tex]

[tex]2x-y=2...(4)[/tex]

We now substitute equation (3) into equation (4) to get:

[tex]2x-4=2[/tex]

Group similar terms:

[tex]2x=2+4[/tex]

[tex]2x=6[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{6}{2}[/tex]

This implies that:

[tex]x=3[/tex]

Therefore the solution set is:

{[tex](x,y)|(x=3,y=4)[/tex]}

The cost, (x), for parking in a city lot is given by c(x) = 3x + 4.00, where x is
the number of hours. What does the slope mean in this situation?

A. The rate of change of the cost of parking in the lot is $3.00 per
hour.

B. The rate of change of the cost of parking in the lot is $4.00 per
hour.

C. It costs a total of $4.00 to park in the lot.

D. Parking in the lot costs $3.00 per car.
Help

Answers

Answer:

A) The rate of change of the cost of parking in the lot is $3.00 per  hour

Step-by-step explanation:

for y=mx+b:

b is the base "cost" ($4)

x is the number of hours parked in the parking lot

m is the slope or how much it costs to be parked PER hour

therefore, for x hours, the cost would be 3*#of hours + $4, so the rate of change of the cost of parking in the lot is $3 per hour (which is shown by m or the slope)

Answer:

Option A

Step-by-step explanation:

we have

x -----> is the number of hours

c(x) ----> is the cost for parking in a city lot

we know that

c(x)=3x+4.00

This is a linear equation in slope intercept form

where

the rate of change or slope m is equal to m=$3 per hour

the y-intercept is equal to b=$4.00 (this is the cost when the number of hours is equal to zero)

therefore

The rate of change of the cost of parking in the lot is $3.00 per

hour

X+3y=28 when x =28 find the value for y plz help

Answers

Answer:

y = 0

Step-by-step explanation:

Plug in 28 for x. Solve for the equation:

x + 3y = 28

(28) + 3y = 28

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 28 from both sides:

28 (-28) + 3y = 28 (-28)

3y = 0

Isolate the variable, y. Divide 3 from both sides:

(3y)/3 = (0)/3

y = 0

y = 0 is your answer.

~

What is the slope-intercept form of a line that passes through points (2, 11) and (4, 17)?

Answers

[tex]\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{11})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{17}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{17-11}{4-2}\implies \cfrac{6}{2}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-11=3(x-2)\implies y-11=3x-6[/tex]

[tex]\bf y=3x+5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

Answer:

[tex]y = 3x + 5[/tex]

Step-by-step explanation:

First, find the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m

[tex]\frac{-11 + 17}{-2 + 4} = \frac{6}{2} = 3[/tex]

Now, plug the coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done much swiftly. It does not matter which ordered pair you choose:

17 = 3[4] + b

12

5 = b

[tex]y = 3x + 5[/tex]

__________________________________________________________

11 = 3[2] + b

6

5 = b

[tex]y = 3x + 5[/tex]

You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.

I am joyous to assist you anytime.

Here is the histogram of a data distribution. All class widths are 1
2
3
4
5
6
7
8
9
10
What is the median of the distribution?

Answers

Answer:

6

Step-by-step explanation:

If it’s the green block from 2-6 with 6 being the tallest then it’s 6 a p e x

The median of the histogram of the data distribution where all class widths are 1 is is 6

How to determine the median?

From the complete question, we have the following highlights:

The histogram has a bell shapeThe class width is 1

When a histogram is bell shaped, the median of the histogram is at the highest bar in the histogram

The highest bar in the histogram has a class of 6

Hence, the median of the histogram is 6

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Find the surface are of this cube 8ft 8ft 8ft

Answers

Answer:

A=384

Step-by-step explanation:

For this case we have by definition, that the surface area of a cube is given by:

[tex]SA = 6l ^ 2[/tex]

Where:

l: It's the side of the cube

We have as data, according to the figure, that:

[tex]l = 8ft[/tex]

Substituting in the figure:

[tex]SA = 6 (8) ^ 2\\SA = 6 * 64\\SA = 384 \ ft ^ 2[/tex]

Thus, the surface area of the cube is [tex]384 \ ft ^ 2[/tex]

Answer:

[tex]384 \ ft ^ 2[/tex]

Find the slope and the​ y-intercept of the line whose equation is negative 6 x plus y equals negative 7 −6x+y = −7.

Answers

-6x + y= -7

Add 6x on both sides to isolate y

Y= 6x-7

The slope is 6 and the y-intercept is -7

Hope this helps!


Please mark me as brainliest if you can, I really appreciate it!

Answer:

slope = 6, y- intercept = - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange - 6x + y = - 7 into this form

Add 6x to both sides

y = 6x - 7 ← in slope- intercept form

with slope m = 6 and y- intercept c = - 7

7 ∙ 15 can be written as _____.

Answers

Answer:

7(10+5)

105

Step-by-step explanation:

Distributive property:

       ↓

A(B+C)=AB+AC

7*15=7(10+5)

7(10+5) is the correct answer.

105 is the correct answer.

I hope this helps you, and have a wonderful day!

By distributive property, 7·15 can be written as 7*(10 + 5) = 105 .

What is distributive property ?

According to the distributive property, multiplying the sum of two or more variables by a number will give the same result as multiplying each variables individually by the number and then adding the products together.

Mathematically,

A*(B + C) = AB + AC

How to express the given expression ?

Given expression is 7·15 .

By distributive property, the expression can be written as -

⇒ 7·15 = 7*(10 + 5)

⇒ 7*(10 + 5) = 7*10 + 7*5

⇒ 70 + 35 = 105 .

Thus, by distributive property, 7·15 can be written as 7*(10 + 5) = 105

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Can someone help me plz

Answers

Answer:

C

Step-by-step explanation:

The sign used is the greater then sign, assuming p is the variable standing for the basketball teams' points then the answer is C.

-2(x+5)=4 sole using distributive property

Answers

Answer:
x=-7

Steps:
-2(x+5)=4
First, multiply everything in the parentheses by -2:
-2x-10=4
Then add ten on the right side to isolate the -2x:
-2x=14
Then divide 14 by -2:
x=-7

Answer:

x = -7

Step-by-step explanation:

-2x - 10 = 4

-2x = 14

x = -7

Verification:

-2(-7 + 5) = 4

-2(-2) = 4

4 = 4

A box that has a width of 32 inches and a length of 60 inches is used to ship
a part. The part lies along the diagonal of the bottom of the box. What is the
longest possible length of the part?

A. 28in
B. 88in
C. 92in
D. 68in

Answers

D.68

A squared plus b squared equals c squared and so add the two lengths given and square them which gives you the hypotenuse squared so then find the square root of your result which is 68

Answer:

68

Step-by-step explanation:

i just took the test.

what is the common difference for this arithmetic sequence? -6,-2,2,6,10 A.4 B.5 C.3 D.6

Answers

Answer:

A

Step-by-step explanation:

The common difference d is the difference between consecutive terms.

d = - 2 - (- 6) = - 2 + 6 = 4

d = 2 - (- 2) = 2 + 2 = 4

Answer:

4

Step-by-step explanation:

BIG BRAIN

Choose the correct simplification of the expression 8 time b over a to the power of -5. a to the power of 5 time b all over 8 8 over a to the power of 5 times b 8a5b Already simplified

Answers

Expression to simplify: [tex]\frac{8b}{a^{-5} }[/tex]

Remember, when a number has a negative power, it reciprocates (flips over)

First lets write the expression so that the a is in a fraction by itself:

[tex]\frac{8b}{a^{-5} }[/tex] = [tex]8b[/tex] × [tex]\frac{1}{a^{-5} }[/tex]

So to simplify, all we do is reciprocate [tex]\frac{1}{a^{-5} }[/tex] and make the power positive:

[tex]8b[/tex] × [tex]\frac{1}{a^{-5} }[/tex] =  [tex]8b[/tex] × [tex]a^{5}[/tex]

=[tex]8a^{5}b[/tex]

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

Answer:

[tex]8a^{5}b[/tex]

The correct simplification Expression is  [tex]8b/a^-5[/tex]

The correct simplification of the expression "8 times b over a to the power of -5" is [tex]8b/a^-5[/tex]. This can be simplified by using the following rule:

[tex]x^m \times x^n = x^ \ (m + n)[/tex]

Therefore, we can rewrite the expression as:

[tex]8b/a^-5 = 8b \times a^5[/tex]

We can then multiply the numerator and denominator by 8 to get:

[tex]8b \times a^5 = 64b \times a^5[/tex]

Finally, we can rearrange the factors to get:

[tex]64b \times a^5 = 8a^5 \times b[/tex]

Therefore, the simplified expression is [tex]8a^5 \times b.[/tex]

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Jerry has a spinner with 4 sections numbered 1 through 4. He suspects that the spinner is not fair because it seems to land on 2 more often than any other number.

To test this, he spins the spinner 250 times and records the relative frequency of each outcome.

Outcome 1 2 3 4
Relative frequency 0.26 0.24 0.24 0.26
Select from the drop-down menus to correctly complete each statement.

For the spinner to be fair, each outcome will be .

The relative frequencies in the table are .

This means it is likely that the spinner is

Answers

♡ The Question ♡

Jerry has a spinner with 4 sections numbered 1 through 4. He suspects that the spinner is not fair because it seems to land on 2 more often than any other number. To test this, he spins the spinner 250 times and records the relative frequency of each outcome. Outcome 1 2 3 4 , Relative frequency 0.26 0.24 0.24 0.26  Select from the drop-down menus to correctly complete each statement.

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Answer ♡

For the spinner to be fair, each outcome will be equally likely.

The relative frequencies in the table are relatively close to equal.

This means it is likely that the spinner is fair.

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Explanation/Step-By-Step ♡

No Explanation/Step-By-Step provided!

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ Tips ♡

No Tips provided!

The true statements are for the spinner to be fair, each outcome will be equal, the relative frequencies in the table are relatively close and this means it is likely that the spinner is fair.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that,

Outcome                      1            2          3           4

Relative frequency    0.26     0.24     0.24     0.26

The spinner has 4 sections

This means that the probability of landing in a section is:

p = 1/4

p = 0.25

So, for the spinner to be fair, each outcome will be equal

The relative frequencies in the table are relatively close is the true statement.

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Solve |x| + 7 < 4. {x | x < -11 or x > -3} {x | -3 < x < 3} Ø

Answers

Answer:

[tex]\large\boxed{\O}[/tex]

Step-by-step explanation:

[tex]|x|+7<4\qquad\text{subtract 7 from both sides}\\\\|x|+7-7<4-7\\\\|x|<-3\Rightarrow\ x\in\O\\\\\text{Because}\\\\|x|\geq0\ \text{for all real value of}\ x[/tex]

Answer: its the o with the line going diagonal through it

Step-by-step explanation:

Find all numbers whose absolute value is 8.

Answers

Answer:

8 or -8

Step-by-step explanation:

The absolute value of number a:

|a| = a for a ≥ 0

|a| = -a for a < 0

|a| = 8 ⇔ a = 8 or a = -8

Final answer:

The numbers that have an absolute value of 8 are 8 and -8. This is because the absolute value refers to a number's distance from 0 on a number line, which includes both positive and negative numbers.

Explanation:

The absolute value of a number refers to its distance from zero on the number line, ignoring whether it is to the left or right (negative or positive). When we speak of the absolute value of 8, we're looking for numbers whose distance from zero is 8 units. This means we are looking for two numbers: +8 and -8 since they are both 8 units away from 0, but in opposite directions.

So, the numbers whose absolute value is 8 are 8 and -8.

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The length of a rectangle is 8 mm longer than its width. Its perimeter is more than 32 mm. Let w equal the width of the rectangle.

a. Write an expression for the length in terms of the width.

b. Use expressions for the length and width to write an inequality for the
perimeter, on the basis of the given information.

c. Solve the inequality, clearly indicating the width of the rectangle.

Answers

Part A

w = width

L = length

L = w+8 since the length is 8 mm longer than the width

Answer:  w+8

====================================================

Part B

P = perimeter of rectangle

P = 2*(L+W) = 2L + 2W

We want the perimeter to be more than 32 mm, so we want P to be greater than 32

This means we write P > 32

Replace P with either 2(L+W) or 2L+2W. I'll pick 2L+2W

So we go from

P > 32

to

2L+2W > 32

After this, replace L with W+8 (refer to part A above)

We now have

2(W+8) + 2W > 32

Answer: 2(w+8) + 2w > 32

====================================================

Part C

Let's solve the inequality found in part B to get...

2(w+8) + 2w > 32

2w + 16 + 2w > 32

4w + 16 > 32

4w + 16-16 > 32-16 ....... subtracting 16 from both sides

4w > 16

4w/4 > 16/4 ......... dividing both sides by 4

w > 4

Answer: w > 4; The width of the rectangle must be larger than 4 mm

which answer is a soultion to the equation lk+9l=4

Answers

Answer:

k=-5 or k= -13

Step-by-step explanation:

lk+9l=4

k+9=4 or k+9=-4

k=-5 or k= -13

Final answer:

The solutions for the equation |k+9| = 4 are k = -5 and k = -13. We got these results by considering separately the positive and negative cases for the absolute value.

Explanation:

To find the solution to the equation |k+9| = 4, we need to think about what the absolute value operation represents. Absolute value takes the positive version of whatever is inside, no matter if it's positive or negative. So we actually need to consider two separate cases.

Case 1: k+9 = 4. Solving for k, we get k = 4 - 9 = -5.Case 2: -(k+9) = 4. Here, we first need to dissolve the negative sign by multiplying both sides by -1, which gives k + 9 = -4. Solving for k, we get k = -4 - 9 = -13.

So the solutions to the equation are k = -5 and k = -13.

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How many four digit even numbers can be formed from digits 1,2,3,4,5 if repetition is allowed.
how can solve this using permutation formula

Answers

Answer:

Step-by-step explanation:

5*5*5*2

The number must end in 2 or 4.

1 3 and 5 will give you an odd number if either is at the end.

The permutation formula does not lend itself to this problem. That is because repetition is allowed. So 5554 is a possible answer.

You can choose any one of 1 to 5 for the first place.

1 to 5 in the second place independent of what you choose for the first place.

The only thing restricting you is the last place. It must be 1 of 2.

I suppose you could use 2P1 for that.

5 * 5 * 5 * 2P1

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Which of the following is NOT an example of retaliation?Getting A Sudden Shift ChangeBeing FiredGetting A PromotionGetting A Bad Performance Review _____, which are websites that provide virtual communities in which people with shared interests can communicate, are common sources of viruses and spyware.A) Uniform resource locatorsB) Social networking sitesC) Web browsersD) Proxy servers Determine the next step for solving the quadratic equation by completing the square.0 = 2x2 + 2x + 33 = 2x2 + 2x3 = 2(x2 x)3 + = 2(x2 x + ) = 2(x )2 = (x )2The two solutions are . Starting from rest and height of 7 m, a 3kg object slides down a 30degrees incline, reaching the bottom with a speed of 10m/s . what is the work done by friction? please elaborate. in what ways did english colonies have a greater degree of self government than french or spainsh colonies Blood pressure is the pressure exerted by blood against......A-kidney// b-artery wall// c-brain //D-stomach Pls I need help ASAP!! Which of the following denotes the divisions of the geologic time scale in correct order of decreasing lengths of time beginning with the longest time interval and ending with the shortest?a. eon, era, epoch, period b. era, period, epoch, eonc. eon, epoch, period, era d. eon, era, period, epoch if X+ X + 1 =0 then the value of x ^3n is Which is an example of an advanced developing nation?New ZealandUnited StatesBrazilEthiopia Find the slope of the line.Slope = m= The expression below is the factorization of what trinomial?-1(x+ 7)(x-4)A. -x^2 + 3x+ 28B. -x^2 + 3x-28C. -x^2 - 3 - 28D. -x^2 - 3x+ 28 Two balls with masses of 2.10 kg and 6.50 kg travel toward each other at speeds of 13.0 m/s and 4.10 m/s, respectively. If the balls have a head-on inelastic collision and the 2.10-kilogram ball recoils with a speed of 8.20 m/s, how much kinetic energy is lost in the collision? Which factor made it difficult for many former Soviet states to governthemselves following the collapse of the Soviet Union?OA. Their weak governments could not control ethnic conflicts amongtheir diverse populations.OB. Their citizens refused to support any policy that signaledcooperation with the United States.OC. Their elected leaders refused to privatize businesses and institutefree-market economies.OD. Their militaries were extremely powerful and remained loyal to theSoviet Union. He function h(t) = 210 15t models the altitude of a hot air balloon over time t, in minutes. Explain what h(10) means in the context of the real-world scenario, and how to find its value. You are making a solution of calcium chloride dissolved in water. you add solid, stir, and it dissolves. you add just a spatula tip full, stir, and the solid does not dissolve. how could you describe the solutions before and after adding the spatula tip amount With a BAL of .08-.099, a female driver age 16-20 is __________ more likely to die in a fatal crash than a sober female the same age.10 times20 times15 times25 times (x2 + 4)(x2 - 4) please help In Things Fall Apart, why would Okonkwo dislike the story of the quarrel between the Earth and Sky? It contains no violence.It is too foolish to believe.It is inappropriate for children.It represents his culture unfairly. Consider the phylogenetic tree of Old World primates.According to the tree, which primates share the most recent common ancestor with humans?gorillaschimpanzeesbonobos and chimpanzeesbonobos and gorillas Steam Workshop Downloader