Rhett decides to build a square room for his movie and music collection. If the area of the room is 16x2 − 24x 9 square feet, what is the length of one side of the room? (4x 3) feet (16x 3) feet (16x − 3) feet (4x − 3) feet.

By definition, a function is increasing when the y-value increases as the x-value increases

is stricly decreasing on the interval

and stricly increasing on the interval

Answer:

-7     least

-2

0       To

3

5.   Greatest

Answer:

-7, -2, 0, 3, 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The scale factor is 35/42 = 5/6

all of the options provided correctly describe the procedures used to determine the number of significant digits in a reported quantity.

All of the options provided are accurate descriptions of the process used to determine the number of significant digits in a reported quantity. The first option states that all digits from the first nonzero digit onward (going to the right) are significant if there is a decimal point. The second option states that if the quantity has no decimal point, zeros to the right of the nonzero number may or may not be significant. The third option suggests that you should start at the left and move right until you reach the first nonzero digit. The fourth option suggests that you should start at the right and count all the nonzero digits in the number. The fifth option says that zeros between other nonzero digits are not significant if there is no decimal point. Therefore, all of the options provided correctly describe the procedures used to determine the number of significant digits in a reported quantity.

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The correct statement that assigns the value 1.667 to the array "fractions" at element 9 is not included in the options given.

It is important to note that arrays start counting from 0, so the 9th element would be at index 8. If there was a statement like "fractions[8] = 1.667", then that would be the correct answer.

However, since none of the options include the correct index, none of them are assigning the value 1.667 to the 9th element of the "fractions" array.

None of the options have the index of 9, and therefore cannot assign a value to that specific element

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Please find attached photographs for your answer. Do mark me Brainliest

Answer

FG

This is the answer that I got (apex)

Answer:

FG

Step-by-step explanation:

AP3X

pog

The  solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).

One method to solve the given system of equations is substitution:

- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).

- Substitute the expression for the variable into the other equation.

- Solve the resulting equation for the remaining variable.

- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable

Using this method with the given equations

- x - y = 9 -> x = 9 + y

- 3x + 2y = 22 -> 3(9 + y) + 2y = 22

- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1

- Substituting y = -1 into x = 9 + y: x = 8

To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.

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Answer: I think the asnwer is c

Step-by-step explanation:

I suggest this because when your looking at the two different triangles your looking at the sides and the whole shape

C provides the similarly

The correct confidence interval is (5.94, 8.36)

Given:

CI = 95%

Mean = sum of given date/no. of date point

          = 186/26

          = 7.15

standard deviation = 2.996

α = (1- 0.95)/2 = 0.025

degree of freedom = sample - 1 = 26 - 25

                                 = 1

we find the t-value 2.060.

Test statics = 2.06 * (б/26) = 1.21

y - ε = 7.15 - 1.21

5.94

y + ε = 7.15 + 1.21

8.36

CI is (5.94, 8.36).

Therefore, the confidence interval for the population is (5.94, 8.36).

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Answers:

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Work Shown:

x = some positive real number

2x = amount Ally gets

3x = amount Barry gets

5x = amount Cat gets

Note that the ratio 2x:3x:5x reduces to 2:3:5 after dividing all parts by x.

Add up the parts and you should get a sum of 500 pounds. Solve for x.

2x+3x+5x = 500

10x = 500

x = 500/10

x = 50

Based on that x value, we then can say:

As a check, 100+150+250 = 500.

Also, note that the ratio 100:150:250 fully reduces to 2:3:5 after dividing all parts by the GCF 50.

Those two facts help confirm our answers.

Answer:

840

Step-by-step explanation:

2% of 700 is 14. Multiply 14 by 10 years, and then add that result (140) to the original amount

Answer:

I got 0.00001693508 is that one of your answers?

Answer is below. Look at the steps to understand the answer.

We'll need to combine like-factors for (3⁻⁴ × 3⁻⁶)⁴.

To do that, we'll combine the exponents and copy the base number.

In the term, the like terms are...

3⁻⁴ and 3⁻⁶.

Like I said, when we need to combine the like-factors, we'll combine the numbers. Combine the numbers like this:

(3⁻⁴⁽⁻⁶⁾)⁴

Add the exponents.

Remember the integer rule.

P + P = P

N + N = N

P + N = P

P + N = N

According to the rule, a negative + negative = negative. So...

-4 + (-6) = (-10)

We now need to make the exponent (3⁻¹⁰) positive.

Rule: A⁻ᴮ = ¹⁄ₐᴮ

According to the formula, A is the base number and B is the negative exponent.

That being said...

A → 3

B → 10

Now, since we know what A and B is, let's change our equation.

⅓¹⁰

Bring down the exponent 4 then multiply.

10 · 4 = 40

Therefore, the answer is ⅓⁴⁰.

Step-by-step explanation:

Since 4104 students are employed sophomores, juniors, or seniors, the total number of unemployed students is 11,989 - 4104 = 7885.

And since 745 students are employed freshman, the number of unemployed freshman is 7885 - 745 = 7140.

So, the total number of freshman is 745 + 7140 = 7885.

The Venn diagram would look like this:

[ Freshmen ] [ Sophomores, Juniors, Seniors ]

[ 7885 ] __________ [ 4104 ]

| 745 |

__________

[ 7140 ]

So, there are 7885 freshman.

Answer:

B

Step-by-step explanation: Since Matthew has 350 free minutes, then that is highest amount of free minutes he has so it can be written as x ≤ 350

Answer:

\(x=\frac{4}{15}\)

Step-by-step explanation:

\(\frac{3}{4}x=\frac{1}{5}\\\mathrm{Multiply\:both\:sides\:by\:}4\\Simplify\\4\cdot \frac{3}{4}x=\frac{1\cdot \:4}{5}\\\mathrm{Simplify\:}4\cdot \frac{3}{4}x:\quad 3x\\\mathrm{Simplify\:}\frac{1\cdot \:4}{5}:\quad \frac{4}{5}\\3x=\frac{4}{5}\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{\frac{4}{5}}{3}\\Simplify\\\frac{3x}{3}=\frac{\frac{4}{5}}{3}\\\mathrm{Simplify\:}\frac{3x}{3}:\quad x\\\mathrm{Simplify\:}\frac{\frac{4}{5}}{3}:\quad \frac{4}{15}\\x=\frac{4}{15}\)

Answer:

\( \frac{4}{15} \)

2nd answer is correct

step by step explanation

\( \frac{3}{4} \times x = \frac{1}{5} \\ x = \frac{1}{5} \times \frac{4}{3} \\ x = \frac{4}{15} \)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

The answer is 6.5

Step-by-step explanation:

All you have to do is divide 13 by 2.

the sign will be a negative sign -

Answer:

IN a series of multiplications (or divisions)

add up the negative signs ... if they are even the answer is positive "+"

the there is an odd number the answer will be negative "-"

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

No, I do not, sorry

Step-by-step explanation:

Answer: If n>1, then any positive number raised to the power of n will always be greater than 1. Therefore, any number greater than 1 raised to the power of n, such as 2^n, 3^n, etc., will also always be greater than 1.

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

its because each term is being mutliplied by -5

hopes this helps please mark brainliest

Answer:

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

Answer:

3x^2

Step-by-step explanation:

Answer:

this is not propotioinal, because 14 divided by 2 is 7 and 20 divided by 3 is not equal to 7 you need 1 more book in the second box to make it proportional

Step-by-step explanation:

hope this helps      :)

Answer: The lowest possible product would be -6724 given the numbers 82 and -82.

We can find this by setting the first number as x + 164. The other number would have to be simply x since it has to have a 164 difference.

Next we'll multiply the numbers together.

x(x+164)

x^2 + 164x

Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2

-b/2a = -164/2(1) = -164/2 = -82

So we know one of the values is -82. We can plug that into the equation to find the second.

x + 164

-82 + 164

82

Step-by-step explanation: Hope this helps.

To find the volume and surface area of the composite figure, we need to find the volume and surface area of the right cylinder and the hemisphere separately, and then add them together.

First, let's find the volume of the right cylinder.

The formula for the volume of a right cylinder is V = πr^2h, where r is the radius and h is the height. In this case, the radius is half of the diameter, which is 4/2 = 2 inches. So, the volume of the right cylinder is:

V1 = π(2)^2(12) = 96π cubic inches

Next, let's find the volume of the hemisphere. The formula for the volume of a hemisphere is V = (2/3)πr^3, where r is the radius. In this case, the radius is also 2 inches. So, the volume of the hemisphere is:

V2 = (2/3)π(2)^3 = 16/3π cubic inches

To find the total volume of the composite figure, we just need to add V1 and V2:

Vtotal = V1 + V2 = 96π + 16/3π = 320/3π cubic inches

Now, let's find the surface area of the composite figure.

To do this, we need to find the surface area of the curved surface of the cylinder, the top of the cylinder, and the curved surface of the hemisphere separately, and then add them together.

The formula for the surface area of the curved surface of a cylinder is A = 2πrh, where r is the radius and h is the height. In this case, the radius is still 2 inches, and the height is 12 inches. So, the surface area of the curved surface of the cylinder is:

A1 = 2π(2)(12) = 48π square inches

The formula for the surface area of the top of a cylinder is A = πr^2, where r is the radius. In this case, the radius is still 2 inches. So, the surface area of the top of the cylinder is:

A2 = π(2)^2 = 4π square inches

Finally, the formula for the surface area of the curved surface of a hemisphere is A = 2πr^2, where r is the radius. In this case, the radius is still 2 inches. So, the surface area of the curved surface of the hemisphere is:

A3 = 2π(2)^2 = 8π square inches

To find the total surface area of the composite figure, we just need to add A1, A2, and A3:

Atotal = A1 + A2 + A3 = 48π + 4π + 8π = 60π square inches

So, the volume of the composite figure is 320/3π cubic inches, and the surface area of the composite figure is 60π

square inches.

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Answer:

1538.6cm^3

Step-by-step explanation:

See the image for solution

Hope it helps

Have a great day

Answer:

ABD ~= CBE

Step-by-step explanation:

Consider all right circular cylinders for which the sum of the height and the circumference is 30 centimeters. What is the radius of the one with maximum volume

To obtain the maximum volume of the cylinder, let us formulate the volume of the cylinder first. Recall that the volume of a cylinder can be given as \(V = πr²h\). However, in the context of the problem statement, the volume of the cylinder should be expressed in terms of only r.The sum of the height and the circumference of the right circular cylinder is given as 30 cm.

Therefore, we can express the circumference of the cylinder as 2πr, and the height as (30-2πr).The volume of the cylinder can thus be given as:\(V(r) = πr²(30 - 2πr)\)The derivative of V(r) is given as:\(dV(r)/dr = 2πr(15 - πr)\)At the maximum volume,\(dV(r)/dr = 0. Hence:2πr(15 - πr) = 0Thus, r = 0 or r = 15/π cm.\)

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Explanation:

Plug in x = 1

f(x) = 17-x^2

f(1) = 17-1^2

f(1) = 17-1

f(1) = 16

Repeat for x = 5 to find that f(5) = -8

Now we'll use the formula below to find the average rate of change from x = a to x = b.

\(m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(5)-f(1)}{5-1}\\\\m = \frac{-8-16}{4}\\\\m = \frac{-24}{4}\\\\m = -6\\\\\)

The average rate of change is -6

The formula is basically the slope formula, more or less. So that's why I used 'm' to represent the average rate of change.

The average rate of change on the interval [1,5] is the same as finding the slope through the lines (1, 16) and (5, -8)

Tessa will have 178 pairs of rabbits on April 1, 2012, assuming the rabbits continue to breed according to the pattern.

A series of numbers in which each number is the sum of the two preceding numbers, starting from 0 and 1 is termed as The Fibonacci sequence.

Tessa started with two rabbits, one male and one female. From June 1 to September 1, each pair of rabbits gave birth to a new pair of rabbits. This means that each pair of rabbits is capable of producing one new pair every month. So, on June 1, there were two pairs of rabbits, on July 1, there were three pairs, on August 1, there were four pairs, and on September 1, there were six pairs.

Let's keep going with this pattern: on October 1, each of the six pairs produces a new pair, so there are 10 pairs. On November 1, there are 16 pairs, and on December 1, there are 26 pairs.

Following this pattern, we can use the Fibonacci sequence to find the number of pairs of rabbits on April 1, 2012. The sequence starts with 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, and so on.

Starting with 1 pair of rabbits on April 1, 2011, we can use the Fibonacci sequence to find the number of pairs on April 1, 2012:

April 1, 2011: 1 pair

May 1, 2011: 1 pair

June 1, 2011: 2 pairs

July 1, 2011: 3 pairs

August 1, 2011: 4 pairs

September 1, 2011: 6 pairs

October 1, 2011: 10 pairs

November 1, 2011: 16 pairs

December 1, 2011: 26 pairs

January 1, 2012: 42 pairs

February 1, 2012: 68 pairs

March 1, 2012: 110 pairs

April 1, 2012: 178 pairs

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