Write the following expression in exponential form: (2 points) 4.5 × 4.5 × 4.5 × 4.5 × 4.5 × 4.5 × 4.5

Answer:

width = 1.77845 ft

length = 7.1138 ft

height = 5.691 ft

total cost = $759.09

Step-by-step explanation:

volume = length x width x height

length = 4 width

base of the rectangle = 4 x 1 w = 4w²

72 (volume) = 4w²h

18 = w²h

f(c) = (2 x 4w² x $10) + (2 x wh x $5) + (2 x 4wh x $5)

f(c) = 80w² + 10wh + 40wh

f(c) = 80w² + 50wh

since we need only 1 variable (width), we have to substitute h:

h = 18/w²

f(c) = 80w² + 50w(18/w²) = 80w² + 900/w

f'(c) = 160w + 900/w²

0 = (160w³ + 900)/w²

0 = 160w³ + 900

0 = 20(8w³ + 45)

0 = 8w³ + 45

8w³ = -45

w³ = -45/8

w = ∛-45/8 = -1.77845 and 1.77845

since w cannot be negative, then it must be 1.77845

Answer:

2

Step-by-step explanation:

\(12x^2+5x-2=\\\\(4x-1)(3x+2)\)

You can check this by working backwards and expanding:

\((4x-1)(3x+2)=\\\\12x^2-3x+8x-2=\\\\12x^2+5x-2\)

Hope this helps!

The value of x in the equation, 3x + 2 = 5 is 1.

In order to solve this equation: 3x + 2 = 5, take the following steps:

Combine similar terms together:

3x = 5 - 2

Add the similar terms together

3x = 3

Divide both sides of the equation by 3 in order to make x the subject f the formula

3x / 3 = 3 /3

x = 1

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Answer:

Ratio Method means that ICE Futures Europe will determine and disclose the adjustment ratio if known or the equation necessary to calculate the ratio. The adjustment ratio will be rounded, using normal mathematical rounding conventions, to five decimal places.

A) Pairwise ranking is an essential part of the weighted ranking method.

Pairwise ranking is one of the analytic techniques covered so far in class that is an essential part of the weighted ranking method.

Pairwise ranking, also known as pairwise comparison, is a process for comparing different options. Each option is compared to every other option to determine which one is better.

This is done by considering two options at a time and evaluating which one is preferred over the other, and then assigning a value to each option based on how many times it was chosen over the others.

The weighted ranking method, also known as the analytic hierarchy process (AHP), is a decision-making method that involves breaking down a complex problem into smaller, more manageable pieces, prioritizing them, and then making a decision based on the priorities.

Pairwise ranking is an essential part of this process because it helps to determine the relative importance of each option and thus how much weight should be given to each option in the final decision.

Hence, Pairwise Ranking is an essential part of the weighted ranking method.

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Answer:

2:26.

Step-by-step explanation:

There are 26 blocks total, and compared to the yellow blocks, there are only two. So that would be 2:26.

Answer:

2:26

Step-by-step explanation:

A ratio is just a mathematical way to show a relationship between things. I wrote it with a colon (:), but you can write it as a fraction or words "x to b."

Most of the time in math, the order of how the question is asked doesn't matter. When it's a ratio, it does matter. Because they ask about the yellow blocks first, that has to be the first part of the ratio.

There are 2 yellow blocks.

Next, it asks for the total. That will be the other part. Add all the total blocks together: 5+7+2+12= 26.

There are 26 total blocks.

Technically, we can simplify this down to 1:13, but it's not asking to simplify it, so let's just leave it as 2:26.

Main Answer: The rate at which the radius is increasing is 1/3 m/min when the volume is 36πm³.

Supporting Explanation: Given that the volume of the spherical balloon is increasing at the rate of 5 m³/min and the volume of the balloon is given as 36π m³.The volume of the balloon is given by v = 4πr³ / 3. Therefore, 4πr³ / 3 = 36π. This gives the radius of the balloon as: r = cuberoot(27) = 3m.Then, differentiating the volume equation with respect to time, t, we get: dv/dt = 4π(3r²)dr/dt. Rearranging the above equation, we get: dr/dt = (1/3)(dv/dt) / r².Substituting the values, we get: dr/dt = (1/3 * 5) / 3²dr/dt = 1/3 m/min. Therefore, the rate at which the radius is increasing is 1/3 m/min when the volume is 36πm³.Here, the keywords used are spherical balloon, volume, rate, radius, and cuberoot.

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To  draw the image of triangle △ABC under a dilation with center C and scale factor 2, we need to draw the original triangle, draw lines from C to each vertex,

To draw the image of triangle △ABC under a dilation with center C and a scale factor of 2, we need to follow a few steps. Firstly, we need to draw the original triangle △ABC. Then, we need to draw a straight line from the center of dilation C to each vertex of the triangle. These lines will act as our guides for where the new vertices will be located.

Next, we need to use the scale factor of 2 to determine the distance between the original vertices and the new vertices. This means that we need to multiply the distance between each vertex and the center of dilation by 2. We can then plot the new vertices along the lines we drew in the previous step.

Finally, we can connect the new vertices to form the image of the triangle under the dilation. This image will be twice as large as the original triangle and will be located in the same direction as the lines we drew from the center of dilation to each vertex.

use the scale factor to determine the new vertex locations, and finally connect the new vertices to form the image.

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Answer:

it would be $80.00

Step-by-step explanation:

there

Answer:

1. -3/5

2. 1

3. 0

4. undefined

Step-by-step explanation:

slope equals y2 - y1 over x2 - x1

Answer:

x=27 degrees

Step-by-step explanation:

This triangle is a right angle, meaning that all the angle measures combined will equal to 180 degrees.

The square in the right handed corner is equal to 90 degrees.

We know that there is also a measure that is equal to 63 degrees.

Therefore, knowing that all the angles combined will equal 180 degrees.

We add 90 + 63.

90+63=153

The we take the sum and subtract it from 180 to get our answer.

180-153=27.

Answer:

14

Step-by-step explanation:

If each cupcake needs 1/2 cup of sugar, you need to divide the total cups of sugar by 1/2.

7 1/3 ÷ 1/2= 14.6

You cant have .6 of a cupcake, therefore she can make 14 cupcakes.

Answer:

i don't know

Step-by-step explanation:

Answer: 3.9 foot

Step-by-step explanation: because if u convert it, that's the answer

Answer: It would be 1 foot because there are 3 feet in every yard and 1/3 of 3 is 1

Step-by-step explanation: hope it helps if its right can I have Brainly?

The cost of the wall paper per square feet is 0.72 dollars.

The wall paper is rectangular in shape. The dimension of the wall paper is 42 feet by 25.5 feet.

The total cost of the wall paper is 771.12 dollars. Therefore, let's find the cost per square ft.

Hence,

area of the wall paper = 42 × 25.5

area of the wall paper = 1071 ft²

Therefore,

1071 ft² =  771.12 dollars

1 ft² = ?

Hence,

cost per square feet = 771.12  / 1071

cost per square feet = 0.72 dollors

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The ratio of boys to girls in Ms. Cano's class is 7 to 21, there are 49 girls in the class. The total number of students in Mr. Cano's class is 196

Ratio:

In mathematics, ratios indicate the number of times one number contains another number. For example, if you have 8 oranges and 6 lemons in your fruit bowl, the ratio of oranges to lemons is 8 to 6 (that is, a ratio of 8:6, or 4:3). Similarly, the ratio of lemons to oranges is 6:8 (or 3:4) and the ratio of oranges to whole fruit is 8:14 (or 4:7). Ratios can be given by giving both constituent numbers written "a to b" or "a : b", or by giving only the value of their quotient a/b.

When comparing one data point (A) to another data point (B), the formula is A/B. That is, divide information A by information B. For example, if A is 5 and B is 10, the ratio is 5/10. Solve the equation. Divide data A by data B to get the ratio.

According to the Question:

Given:

The ratio of boys to girls is 7: 21,

and there are 49 boys,

Let number of boys be x and number of girls be y.

49/7 × 11 = 77 girls

Therefore,

Total number of boys and girls in the classroom is

77 + 49 = 126.

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Answer:

the answer is b, you welcome

Step-by-step explanation:

\(log_{5} \sqrt{14}\) ≈ 0.82

The property of logarithms log ab = log a + log b , log a/b = log a - log b

\(log_{5} 2\) ≈ 0.43

\(log_{5} 7\) ≈ 1.21

We need to find,

\(log_{5} \sqrt{14}\)

= 1/2\(log_{5} 14\)

= 1/2\(log_{5} 2*7\)     ( log ab = log a + log b)

= 1/2 (\(log_{5} 2\) + \(log_{5} 7\))  

=1/2( 0.43 + 1.21)

= 1/2 × 1.64

= 0.82

Hence logarithms of \(log_{5} \sqrt{14}\) = 0.82

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Answer:

a=33 ( vertically opposite angles)

a+90=b( sum of opposite interior angle is equal exterior angle)

33+90 = b

b=123

A big sample that should the experimenter take from the population is 256 and if the standard deviation and the width of the confidence interval are both doubled then the sample is also 256.

In the given question,

The confidence level = 99%

Given width = 0.5

Standard deviation of resistance(\sigma)= 1.55

We have to find a big sample that should the experimenter take from the population and what happens if the standard deviation and the width of the confidence interval are both doubled.

The formula to find the a big sample that should the experimenter take from the population is

Margin of error(ME) \(=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\)

So n \(=(z_{\alpha /2}\frac{\sigma}{\text{ME}})^2\)

where n=sample size

We firstly find the value of ME and \(z_{\alpha /2}\).

Firstly finding the value of ME.

ME=Width/2

ME=0.5/2

ME=0.25

Now finding the value of \(z_{\alpha /2}\).

Te given interval is 99%=99/100=0.99

The value of \(\alpha\) =1−0.99

The value of \(\alpha\) =0.01

Then the value of \(\alpha /2\) = 0.01/2 = 0.005

From the standard table of z

\(z_{0.005}\) =2.58

Now putting in the value in formula of sample size.

n=\((2.58\times\frac{1.55}{0.25})^2\)

Simplifying

n=(3.999/0.25)^2

n=(15.996)^2

n=255.87

n≈256

Hence, the sample that the experimenter take from the population is 256.

Now we have to find the sample size if the standard deviation and the width of the confidence interval are both doubled.

The new values,

Standard deviation of resistance(\(\sigma\))= 2×1.55

Standard deviation of resistance(\(\sigma\))= 3.1

width = 2×0.5

width = 1

Now the value of ME.

ME=1/2

ME=0.5

The z value is remain same.

Now putting in the value in formula of sample size.

n=\((2.58\times\frac{3.1}{0.5})^2\)

Simplifying

n=(7.998/0.5\()^2\)

n=(15.996\()^2\)

n=255.87

n≈256

Hence, if the standard deviation and the width of the confidence interval are both doubled then the sample size is 256.

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Answer:

Step-by-step explanation:

The mean and standard deviation of two surveys do not give enough information to determine which statement is true. To compare the two surveys and determine which is true, you would need additional information such as the sample sizes, the confidence intervals for the means, and/or a hypothesis test comparing the means of the two surveys.

The given statement "The diagonal of a parallelogram does not create alternate interior angles" is false because alternate interior angles are formed when two parallel lines are intersected by a transversal, and they are located on opposite sides of the transversal and between the two parallel lines.

In a parallelogram, the opposite angles are congruent, meaning they have equal measures. When a diagonal is drawn in a parallelogram, it creates two pairs of congruent opposite angles, but these angles are not considered alternate interior angles.

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While allowing subjects to choose their preferred TV show might seem intuitively appealing, random assignment is generally preferred in experimental designs to reduce confounding and provide more reliable results.

Allowing subjects to choose the type of TV show they want to watch could potentially introduce biases and confounding factors into the study. If participants have the freedom to select the content they prefer, they may be more likely to choose shows that align with their pre-existing attitudes and preferences. This could introduce systematic differences between the groups and make it difficult to isolate the effects of violence and sex in the content on memory recall.

By randomly assigning subjects to different types of TV shows, the researchers can create comparable groups that are balanced in terms of individual characteristics and preferences. This random assignment helps to reduce confounding variables and allows for a more accurate evaluation of the impact of violence and sex on memory recall

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The pool must be filled in 708.72 minutes, or around 11.81 hours, to a depth of 20 cm.

Assuming the pool is a rectangular prism with dimensions L (length), W (width), and D (depth), the volume of the pool can be calculated as:

Volume = L x W x D

If we want to fill the pool to a depth of 20 cm = 0.2 meters, and assuming the pool has uniform depth, we can calculate the volume of water needed to fill the pool to this depth:

Volume of water = L x W x 0.2

Now, we know that the hose is filling the pool at a rate of 3,400 cm3 per minute, which is equivalent to 0.0034 cubic meters per minute. We can use this information to calculate the time required to fill the pool to a depth of 0.2 meters:

Time = Volume of water ÷ Flow rate

Time = (L x W x 0.2) ÷ 0.0034

Simplifying this equation, we get:

Time = (59.06 x L x W) minutes

Therefore, the time required to fill the pool to a depth of 20 cm will depend on the dimensions of the pool. If the pool is, for example, 4 meters long and 3 meters wide, the time required to fill the pool to a depth of 20 cm would be:

Time = (59.06 x 4 x 3) minutes = 708.72 minutes or approximately 11.81 hours.

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Correct question:

A hose is filling the pool at a rate of 3 4.000 cm3 per minute How long will it take to fill the pool to a depth of 20 cm?

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

The slope of the tangent line to the graph of the function y = x^4 - 10x^2 + 9 at x = 1 can be found by taking the derivative of the function and evaluating it at x = 1. The equation of the tangent line can then be determined using the point-slope form.

Taking the derivative of the function y = x^4 - 10x^2 + 9 with respect to x, we get:

dy/dx = 4x^3 - 20x

To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative:

dy/dx (at x = 1) = 4(1)^3 - 20(1) = 4 - 20 = -16

Therefore, the slope of the tangent line is -16.

To find the equation of the tangent line, we use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Given that the point of tangency is (1, y(1)), we substitute x1 = 1 and y1 = y(1) into the equation:

y - y(1) = -16(x - 1)

Expanding the equation and simplifying, we have:

y - y(1) = -16x + 16

Rearranging the equation, we obtain the equation of the tangent line:

y = -16x + (y(1) + 16)

To find the slope of the tangent line, we first need to find the derivative of the given function. The derivative represents the rate of change of the function at any point on its graph. By evaluating the derivative at the specific value of x, we can determine the slope of the tangent line at that point.

In this case, the given function is y = x^4 - 10x^2 + 9. Taking its derivative with respect to x gives us dy/dx = 4x^3 - 20x. To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative equation, resulting in dy/dx = -16.

The slope of the tangent line is -16. This indicates that for every unit increase in x, the corresponding y-value decreases by 16 units.

To determine the equation of the tangent line, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1). We know the point of tangency is (1, y(1)), where x1 = 1 and y(1) is the value of the function at x = 1.

Substituting these values into the point-slope form, we get y - y(1) = -16(x - 1). Expanding the equation and rearranging it yields the equation of the tangent line, y = -16x + (y(1) + 16).

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

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Answer:

-4 *-4 *-4

= 16*-4

= ANWSER

-9*-9

=81

Step-by-step explanation:

To find the length of the model, we need to use the given scale, which states that 1 inch on the model represents 1.5 feet in reality.

The length of the actual object is given as 18 feet. Let's calculate the length of the model:

Length of model = Length of actual object / Scale factor

Length of model = 18 feet / 1.5 feet/inch

Length of model = 12 inches

Therefore, the length of the model is 12 inches. Therefore, the correct option is (a) 12 inches.

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Answer:

x-8= -3x+12

adding 8 and 3x on both sides

x-8+8+3x= -3x+3x+12+8

x+3x=20

4x=20 divide by 4

x=5

x+12= -x-6

adding x and subtacating 12 on both sides

x+x+12-12= -x+x-6-12

2x = -18 divide by 2

x= -9

Answer:

<BOD

Step-by-step explanation:

Supplementary angles add up to 180, but remember that a 180 degree angle is also just a straight line! <AOB takes up half of Line AD, while we can see that <BOD takes up the other half of the line.

The statements given are mostly true, except for the statements that V_4 is parallel to V_3 and that V_3 is greater than V_1.

The magnitude of a vector can be different in different coordinate systems. True

It is possible to add a scalar to a vector. True

A 2D vector can have a magnitude equal to zero even when one of its components it nonzero. True

The direction of a vector can be different in different coordinate systems. True

A 2D vector can have a component equal to zero even when its magnitude is nonzero. True

The components of a vector can be different in different coordinate systems. True

It is possible to multiply a vector by a scalar. True

If V_3 = V_1 + V_2, then V_4 = 3V_1 + 3V_2 is parallel to V_3. False

If V_3 = V_1 + V_2, then V_3 - V_2 is parallel to V_1. True

If V_3 = V_1 + V_2, then V_3 = V_1 + V_2. True

If V_3 = V_1 + V_2, then V_3 > V_1. False

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