Answer:
Step-by-step explanation:
To get the answer just use the numbers from the table which you have stated and you are right, you do get a long decimal.
5.69*10^26 / 6.42 * 10^23 = 886.29
which rounds to 886
The weather forecast for the day shows a 45% chance of
rain, a 45% chance of lightning, and a 25% chance of lightning
and rain. Which statement is correct?
A. The chance of rain and the chance of lightning are
independent because .2025 = .25
B. The chance of rain and the chance of lightning are
independent events because .45 = .45
C. The chance of rain and the change of lightning are
dependent events because .2025 2.25
D. The chance of rain and the chance of lightning are
dependent events because .45 = .45
Answer:
C
Step-by-step explanation:
If two events are independent, the probability of both happening are:
P(A and B) = P(A) × P(B)
In this case, if rain and lightening were independent:
P(rain and lightening) = P(rain) × P(lightening)
P(rain and lightening) = 0.45 × 0.45
P(rain and lightening) = 0.2025
However, we're told that P(rain and lightening) is 0.25, not 0.2025.
Since 0.2025 ≠ 0.25, the events are not independent, so they are dependent.
Can someone help me with this? ASAP.
You need to multiply the amount it is dropping per day by the number of days, so you would have 0.3d
You would then need to subtract that amount from the current level of 25 feet.
Now you have 25 - 0.3d.
This total needs to be greater than or equal to 13 feet.
25 -0.3d ≥ 13
find the sum or difference. make sure your answer is simplified. work must be shown.
3/4x+1/20x
[tex]\bf \cfrac{3}{4x}+\cfrac{1}{20x}\impliedby \textit{so let's use an LCD of 20x} \\\\\\ \cfrac{(5)3~~+~~(1)1}{20x}\implies \cfrac{15+1}{20x}\implies \cfrac{16}{20x}\implies \cfrac{4}{5x}[/tex]
Plzzzzzzzz help me this is really hard
Answer:
4dg=40cg
Because dg to cg rate is 1:10
Answer:
4000 cgs
Step-by-step explanation:
This one requires 2 sets of brackets. You are best to work in grams.
1 dg = 10 grams
1 cg = 0.01 grams.
I wouldn't fret about this if I were you. This is the first time I've actually used these units. Most likely if you really need them, you can just look them up.
4 dg * [10 grams / 1 dg] * [ 1 cg / 0.01 grams]
40 grams * 1 cg / 0.01 grams
= 4000 cgs.
Notice the first set of brackets get's rid of the dgs
the second set of brackets gets rid of the grams.
Solve (-18^3+17x+6)/(3x+2)
Answer:
[tex]\frac{17x-5826}{3x+2}[/tex]
Step-by-step explanation:
The polynomial - 18x³ + 17x + 6 is divided by 3x + 2. Then the polynomial will be - 6x² + 4x + 3.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
- 6x² + 4x + 3
3x + 2 ) - 18x³ + 17x + 6
- 18x³ - 12x²
+ 12x² + 17 x + 6
+ 12x² + 8x
+ 9x + 6
+ 9x + 6
0
More about the division link is given below.
https://brainly.com/question/369266
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The ratio of boys to girls at a local sports club is 3-1.if there are 45 girls how many boys are there
Answer:
I'm pretty sure the answer is 43
because you have to minus 2 from the girls each time to get the boy answer. Hope this helps :)
Step-by-step explanation:
A biologist is researching a newly-discovered species of bacteria. He puts 200 bacteria into what he has determined to be a favorable growth medium. Nine hours later, he measures 380 bacteria. Assuming exponential growth, find the growth equation and use it to determine the number of bacteria after eight hours.
Note: Once you find the equation, round a and b to the nearest hundredth to determine the solution.
358
351
344
360
Answer:
354.
Step-by-step explanation:
Exponential growth:
380 = 200e^(k*9) where k is a constant to be found.
e^9k = 380/200 = 19/10
ln e^9k = ln 1.9
9k = ln 1.9
k = ln 1.9 / 9
k = 0.071
After 8 hours:
Number of bacteria =
200*e^(8*0.071)
= 354.
Suppose a diver dove from a diving platform 4 feet above the water and stopped at –8 feet to pick up some scallops. Which expression models this situation and tells how far below the diving platform she is?
A. –4 + |–8|
B. |4| + |8|
C. 4 – |–8|
D. 4 + |–8|
Answer: Option D.
Step-by-step explanation:
By definition, the absolute value of a number is its distance from 0 on a number line. We know that the distances cannot be negative. Then:
[tex]|-a|=a[/tex]
We can assume that the water is at level 0.
We know that the diver dove from a diving platform, which is 4 feet above the water, and then she stopped at -8 feet to pick up some scallops.
This indicates that she stopped at 8 feet below the water.
Therefore, in order to find how far below the diving platform the diver is, we must add 4 feet and the absolute value of -8 feet.
Then, the expression that models this situation is:
[tex]4+|-8|[/tex]
Notice that it matches with the expression shown in Option D.
Merlin Industries bought a laptop for $2,100. It is expected to depreciate at a rate of 14% per year. What will the value of the laptop be in 5 years? Round to the nearest dollar.
Question 4 options:
$912
$988
$1,806
$4,043
988
A year later will depreciate $294
The following year $253
On the third year $217
The fourth year. $187
And the 5th year. $161
Answer:
$988Step-by-step explanation:
[tex]100\%-14\%=86\%=0.86\\\\0.86\cdot\$2,100-\text{after the first year}\\0.86\cdot(0.86\cdot\$2,100)=0.86^2\cdot\$2,100-\text{after the second year}\\0.86\cdot(0.86^2\cdot\$2,100)=0.86^3\cdot\$2,100-\text{after the third year}\\\vdots\\0.86^5\cdot\$2,100\approx\$988-\text{after the fifth year}[/tex]
Which graph represents the compound inequality? h2-5 and h<2
2 is correct, because:
1) we have a close interval
2)we must have node on x=-5
which of these triangle pairs can be mapped to each other using a reflection and a translation
Answer:
B
Step-by-step explanation:
If you have the a,b,c,d
What is the volume of the following rectangular prism?
Answer:
You multiply the L, W, and H. that should you to your answer!
Hope this helps! :)
Step-by-step explanation:
Yup (l x w x h) = volume of prism.
(L x w) = area
What is the volume of the following triangular prism? 252 yd 3 126 yd 3 42 yd 3 84 yd 3
(I just did this quiz lol)
Answer:
42 yards
Step-by-step explanation
we know that
The volume of the triangular prism is equal to
where
B is the area of the triangular base
H is the height of the prism
Convert 9 Ft to yd
Remember that
1 ft=1/3 yd
9 ft=9*(1/3)=3 yd
Find the area of the base B
we have
substitute the values in the formula
v=BH
v=(6)(7)=42 yd
Answer:
42
Step-by-step explanation:
Las bases de un prisma recto son dos triangulos rectangulos cuyos catetos miden 1.5 cm y 1.8 cm, respectivamente, el prisma tiene una altura de 4.5cm. calcula su area total y volumen
Answer:
Part 1) The surface area is [tex]SA=35.1\ cm^{2}[/tex]
Part 2) The volume is equal to [tex]V=12.15\ cm^{3}[/tex]
Step-by-step explanation:
The question in English is
The bases of a right prism are two rectangle triangles whose legs measure 1.5 cm and 1.8 cm, respectively, the prism has a height of 4.5 cm. calculates its total surface area and volume
Part 1) Find the surface area
The surface area is equal to
[tex]SA=2B+Ph[/tex]
where
B is the area of the base
P is the perimeter of the base
h is the height of the prism
Find the area of the base B
[tex]B=(1.5)(1.8)=2.7\ cm^{2}[/tex]
Find the perimeter of the base P
[tex]P=2*(1.5+1.8)=6.6\ cm[/tex]
we have
[tex]h=4.5\ cm[/tex]
substitute the values
[tex]SA=2(2.7)+(6.6)(4.5)=35.1\ cm^{2}[/tex]
Part 2) Find the volume
The volume is equal to
[tex]V=Bh[/tex]
where
B is the area of the base
h is the height of the prism
we have
[tex]B=2.7\ cm^{2}[/tex]
[tex]h=4.5\ cm[/tex]
substitute
[tex]V=(2.7)(4.5)=12.15\ cm^{3}[/tex]
Aaron goes to his favorite hamburger joint with a friend and orders two hamburgers and two French fries. His total cost is $10.50. The next week, he goes with two other friends. They order four hamburgers and three French fries. This time the total is $19.50. Choose two equations that could be used to determine the cost for hamburgers (h) and French fries (f).
Answer:
2h+2f=10.50
4h+3f=19.50
The equation that could be used to determine the cost of the hamburgers and French fries is,
2h+2f=10.50
4h+3f=19.50
We have given that,
Aron goes to his favorite hamburger joint with a friend and orders two hamburgers and two French fries.
His total cost is $10.50.
The next week, he goes with two other friends.
They order four hamburgers and three French fries.
This time the total is $19.50.
What is the linear equation?
A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
Therefore the equation that could be used to determine the cost of the hamburgers and French fries is,
2h+2f=10.50
4h+3f=19.50
To learn more about the equation visit:
https://brainly.com/question/2972832
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What is the range of the function f(x) = 3x - 12 for the domain (-2, 2)?
A. (3,12)
B. 4-6, -18)
c. (6, 18)
D. (12,3)
When x=-2
f(x) =3(-2) -12 =-6-12=-18
When x=2
f(x) = 3(2)-12=6-12=-6
So For the domain (-2,2)
Range of the function f(x) is (-18,-6)
So (-18 ,-6). is your answer.
Hope it helps....
Regards,
Leukonov/Olegion.
The range of the function f(x) = 3x - 12 for the domain (-2, 2) is (-18, -6). This is determined by finding the function's output at x = -2 and x = 2, which are the endpoints of the specified domain.
The question asks for the range of the function f(x) = 3x - 12 given the domain (-2, 2). To determine the range, we calculate the output values of the function using the endpoints of the domain.
For the lower endpoint of the domain, x = -2: f(-2) = 3(-2) - 12 = -6 - 12 = -18.
For the upper endpoint of the domain, x = 2: f(2) = 3(2) - 12 = 6 - 12 = -6.
Since the function is a straight line (which is continuous and has a constant rate of change), the range over the interval (-2, 2) is all values between f(-2) and f(2), though not including the endpoints since the domain is open. Thus, the range is (-18, -6).
The correct answer is B. (-18, -6).
What is the I-value of the solution of the system of equatIons
x + 3y = 13 and 3x - y = –11?
The I-value of the solution of the given system of equations is -2.
Explanation:The I-value of the solution of the given system of equations can be found by solving the equations simultaneously.
We can solve the system of equations using the method of substitution or the method of elimination. In this case, let's use the method of substitution.
First, solve one equation for x in terms of y or vice versa. Let's solve the second equation for x:
3x - y = -11 => 3x = y - 11 => x = (y - 11)/3
Now substitute this value of x into the first equation:
x + 3y = 13 => (y - 11)/3 + 3y = 13 => (y - 11 + 9y)/3 = 13 => 10y - 11 = 39 => 10y = 50 => y = 5
Finally, substitute the value of y back into one of the original equations to find the value of x. Let's substitute y = 5 into the second equation:
3x - 5 = -11 => 3x = -6 => x = -2
Therefore, the solution to the system of equations is x = -2 and y = 5. The I-value of the solution is x, so the I-value is -2.
Final answer:
To determine the I-value for the given equations, we apply algebraic methods to solve for x and y; however, it's not possible to find an I-value without further context as I typically represents current in electrical engineering.
Explanation:
To find the I-value of the solution to the system of equations x + 3y = 13 and 3x - y = -11, we can use the method of substitution or elimination. However, the question seems to be a mix of content as it initially presents equations that are typical of algebra but then refers to finding a value for I1 which is more in line with physics or engineering contexts, particularly with circuit analysis where I represents current. Since we are given two standard linear equations, we will solve them as algebraic expressions to find the values of x and y.
Solution:
First, we solve one of the equations for one variable and then substitute it into the other. Let's solve the first equation for x:
x = 13 - 3y
Next, we substitute this expression for x in the second equation:
3(13 - 3y) - y = -11
Simplify and solve for y:
39 - 9y - y = -11
-10y = -11 - 39
-10y = -50
y = 5
Now, substitute y into the expression we found for x:
x = 13 - 3(5)
x = 13 - 15
x = -2
The solution to the system of equations is x = -2 and y = 5. If the variable I is meant to represent the current in a circuit, this solution does not directly provide the I-value without additional context of the circuit's parameters.
HELP NEEDED ASAP!! What is the length of AC
Answer:
(144) is the homogeneous mixture
Answer:
Ac = 144
Step-by-step explanation:
From the figure we can see two similar triangles,Ratio of sides of similar triangles are equal.
To find the value of x
From the figure we can write,
7/84 = x/(156 - x)
1/12 = x/(156 - x)
156 - x = 12x
13x = 156
x = 156/13 = 12
To find the value of AC
AC = 156 - x
= 156 - 12
= 144
Therefore AC = 144
Two different plants grow each year at different rates, which are represented by the functions f(x) = 4x and g(x) = 5x + 2. What is
the first year the f(x) height is greater than the g(x) height?
A) year 0
B) year 1
C) Year 2
D) year 3
I believe you answer would be D
Answer:
None of them.
Step-by-step explanation:
you want to find the least value of x for which f(x)>g(x). Then replacing both expressions we have
[tex]4x>5x+2\rightarrow -2>5x-4x=x[/tex] . This means that for f to be greater than g, x should be less than -2. Since we are considering x>0, given that it represents years (which are always positive), the question does not have a correct answer.
Find an equation of variation where y varies directly as x and y = 0.8 when x = 0.4
Answer:
y = 2x
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 0.8 when x = 0.4
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{0.8}{0.4}[/tex] = 2
y = 2x ← equation of variation
To find an equation of direct variation given that y = 0.8 when x = 0.4, we use the form y = kx to determine the constant k, which is 2. Thus, the equation of variation is y = 2x.
To find an equation of direct variation where y varies directly as x, we use the form y = kx, where k is the constant of variation.
Given that y = 0.8 when x = 0.4, we can substitute these values into the equation to find k.
Solving for k, we get k = y / x = 0.8 / 0.4 = 2. Therefore, our equation of variation is y = 2x.
it's possible for a table to display yes/no and numberic data at the same time
Answer:
yea it can
Step-by-step explanation:
Final answer:
A table can simultaneously display yes/no (Boolean) and numeric data. Yes/No fields in databases are often checkboxes representing binary choices, while other columns can store numeric data. The data types assigned to these fields determine how they are sorted and displayed in the table.
Explanation:
Yes, it is entirely possible for a table to display both yes/no and numeric data at the same time. The yes/no data is often referred to as binary, Boolean, or Yes/No datatype, and in databases, it commonly appears as a checkbox. These Yes/No fields contain only two possible values, such as Yes/No, True/False, or On/Off. On the other hand, the numeric data represents quantitative information that can be measured and written down with numbers.
Tables are quite versatile and can conveniently organize complex numerical information, alongside qualitative categories, in a structured format using rows and columns. For example, a table can be used to compare different models of a product using criteria represented by both text and numbers, such as product features ('Yes' for having a feature and 'No' for not having it) and specifications like price or weight (numeric data).
It's important to keep in mind that when designing a database, every field is assigned a datatype based on what type of data it holds. For fields containing text, a 'text' datatype is used; whereas for fields containing numeric values, a 'number' datatype is chosen. The datatype affects how the data is sorted and processed within the table.
In the given figure find the value of x and y if AB parallel to CD
Answer:
x = 42
y = 38
Step-by-step explanation:
for y:
there is a corresponding angle at 58° so y + 20 must equal to 58. ∴y = 38°
for x :
first locate the straight angle at CD. The angle opposite 58° must also be 58° as it is vertically opposite. We have two values here.. 58° and 22°. Use your knowledge of straight angles and add 22 + 58, which equals to 80. Now subtract from 180 which = to 100°. We know that the angle sum of a Δ is 180° so add 38 and 100, which will give you 138°. Subtract from 180 to give you a total of 42°
Sorry if this was very lengthy haha
hope it helps:)
estimate the answer by rounding first number to nearest tenth and second number to nearest hundred. 0.65 × 1754. have to type an integer or decimal
Answer:
1260
Step-by-step explanation:
Round 0.65 to 0.7 and round 1754 to 1800. To get 1260, I recommend an easy way to do this. I would take 18 and multiply it by 7, giving us 126. Because it was supposed to be 0.7, not 7, we multiply by 10 because 7/10 is 0.7. This gives us 126 times 10 which equals 1260.
By rounding 0.65 to the nearest tenth and 1754 to the nearest hundred, we get 0.7 and 1800 respectively. Multiplying these gives an estimated product of 1260.
Explanation:To estimate the answer by rounding the first number to the nearest tenth and the second number to the nearest hundred, we start by determining the rounded numbers. The number 0.65 rounded to the nearest tenth is 0.7, and the number 1754 rounded to the nearest hundred is 1800. Multiplying these two rounded numbers together gives us 0.7 × 1800 = 1260.
Therefore, by rounding before multiplying, we can estimate that 0.65 × 1754 is approximately 1260. This estimation technique helps simplify calculations and is very useful when an exact answer is not required, especially when dealing with large numbers or calculations that would otherwise be complex.
The sale price of apples at a local grocery store is $1.35 for the first pound and $1.10 for each additional pound. Which function rule shows how the cost of apples, y, depends on the number of pounds, x?
1.)y = 1.10(x – 1) + 1.35
2.)y = 1.10x + 1.35
3.) y = 1.35x + 1.10
4.)y = (1.10 + 1.35)x
Answer:
1.) y = 1.10(x – 1) + 1.35
Step-by-step explanation:
When x pounds of apples are purchased, the number of "additional" pounds is (x-1). The cost of those additional pounds is then added to the cost of the first pound to get ...
y = 1.10(x -1) +1.35
_____
Comment on the function rule
Personally, I think it is easier to write the rule as y = 1.10x +0.25, considering the first pound to have a $0.25 premium added to its otherwise $1.10 cost. This saves an operation when evaluating the formula for some value of x.
Before soccer practice, Laura warms up by jogging around the soccer field that is 80 yards by 120 yards . How many yards does she jog if she goes around the field two times.
19200! hope this helps! good luck
Answer:
800 yards
Step-by-step explanation:
80 x 4 + 12 x 4 = 800
Hope this helps!
What is (-6x) to the third power
Answer:
-216 x^3
Step-by-step explanation:
(-6x)^3
This is really (-6x)* (-6x) * (-6x)
-216 x^3
what is the equation of a circle centered at the origin with a radius of 15?
Answer:
x² + y² = 225
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ← r is the radius, so
x² + y² = 15², that is
x² + y² = 225
The point (-3,4) is reflected across the x-axis. What is the coordinates of its new location?
Semd a pic of a graph bc I dont have paper
The point (-3,4) when reflected across the x-axis results in new coordinates (-3, -4), changing the sign of the y-coordinate.
The question asks for the new coordinates of a point after being reflected across the x-axis. Reflecting a point across the x-axis changes the sign of the y-coordinate but leaves the x-coordinate unchanged. Therefore, if we have a point (-3, 4) and we reflect it across the x-axis, the x-coordinate remains -3, and the y-coordinate, which is 4, will become -4, resulting in the new coordinates (-3, -4).
use the functions f(x)= 3x-4 and g(x)= x^2-2 to answer the following questions
a) complete the table
x l f(x)
______
-3 l
______
-1 l
______
0 l
______
2 l
______
5 l
______
x l g(x)
______
-3 l
______
-1 l
______
0 l
______
2 l
______
5 l
______
b) for what value of the domain (-3, -1, 0, 2, 5) does f(x)= g(x)
answer:
Step-by-step explanation:
a.[tex]f(x)=3x-4\\\\\text{Put the values of x from table to the equation of}\ f(x):\\\\f(-3)=(3)(-3)-4=-9-4=-13\\f(-1)=(3)(-1)-4=-3-4=-7\\f(0)=(3)(0)-4=0-4=-4\\f(2)=(3)(2)-4=6-4=2\\f(5)=(3)(5)-4=15-4=11\\\\\begin{array}{c|c}x&f(x)\\-3&-13\\-1&-7\\0&-4\\\bold{2}&\bold{2}\\5&11\end{array}[/tex]
[tex]g(x)=x^2-2\\\\g(-3)=(-3)^2-2=9-2=7\\g(-1)=(-1)^2-2=1-2=-1\\g(0)=0^2-2=0-2=-2\\g(2)=2^2-2=4-2=2\\g(5)=5^2-2=25-2=23\\\\\begin{array}{c|c}x&g(x)\\-3&7\\-1&-1\\0&-2\\\bold{2}&\bold{2}\\5&23\end{array}[/tex]
b.f(x) = g(x) for x = 2 (look at the tables)
A plane is to be loaded with bottles of water and medical supplies to be sent to victims of an earthquake. Each bottle of water serves 10 people and each medical kit aids six people. The goal is to maximize z, the total number of people helped, where z = 10x + 6y, and x is the number of bottles and y is the number of medical kits. Using the constraints of the situation (plane weight and volume capacities) the shaded region is in the graph is obtained. Which vertex of the region represents the solution to the maximization problem?
Answer:
The vertex that maximize the problem is (2,000,4,000)
Step-by-step explanation:
we have
[tex]z=10x+6y[/tex]
The vertex of the shaded region are
A(0,0), B(4,000,0),C(2,000,4,000), D(0,6,000)
Substitute the value of x and the value of y of each vertex in the z equation to find the solution
case A) A(0,0)
[tex]z=10(0)+6(0)=0[/tex]
case B) B(4,000,0)
[tex]z=10(4,000)+6(0)=40,000[/tex]
case C) C(2,000,4,000)
[tex]z=10(2,000)+6(4,000)=44,000[/tex]
case D) D(0,6,000)
[tex]z=10(0)+6(6,000)=36,000[/tex]
therefore
The vertex that maximize the problem is (2,000,4,000)
Answer:
C) (2000, 4000)
Step-by-step explanation: