35 POINTS

I have a rectangular prism with the dimensions of:
9cm 4cm 12cm
SA=2(4x9+12x9+12x4)=384
V=9x4x12=432

Question: I need a figure (figures - triangular prism, cube, pyramid, cone, cylinder, sphere) to have dimesions that will have less surface area but the same volume as the rectangular prism.

Answer:

The domain = (-∞ , -1/4) ∪ (-1/4 , ∞)

The range = (-∞ , 21/4)∪(21/4 , ∞)

The answer is not in the choices

Step-by-step explanation:

* Lets revise how to find the inverse function

- At first write the function as y = f(x)

- Then switch x and y

- Then solve for y

- The domain of f(x) will be the range of f^-1(x)

- The range of f(x) will be the domain of f^-1(x)

* Now lets solve the problem

- At first find the domain and the range of f(x)

∵ f(x) = (x - 9)/(21 - 4x)

- The domain is all real numbers except the value which

  makes the denominator = 0

- To find this value put the denominator = 0

∴ 21 - 4x = 0 ⇒ subtract 21 from both sides

∴ -4x = -21 ⇒ ÷ -4 both sides

∴ x = 21/4

∴ The domain = R - {21/4} OR the domain = (-∞ , 21/4)∪(21/4 , ∞)

* Now lets find the range

- The range will be all the values of real numbers except -1/4

 because the horizontal asymptote equation is y = -1/4

- To find the horizontal asymptote we find the equation y = a/b

 where a is the coefficient of x up and b is the coefficient of x down

∵ The coefficient of x up is 1 and down is -4

∴ The equation y = 1/-4

∴ The value of y = -1/4 does not exist

∴ The range = R - {-1/4} OR the range = (-∞ , -1/4) ∪ (-1/4 , ∞)

* Switch the domain and the range for the f^-1(x)

∴ The domain = (-∞ , -1/4) ∪ (-1/4 , ∞)

∴ The range = (-∞ , 21/4)∪(21/4 , ∞)

Answer:

212°

Step-by-step explanation:

We have the measure of CE and the measure of ED, so all we have to do is combine those two to get the measure of CED.

The arc CE measures 52 degrees.

The arc ED measures 160 degrees

The arc CED is the sum of arc CE and ED, so:

CED = 52° + 160° = 212°

We don't have any length measurement inside that circle to calculate the length of the arc CED in inches, centimeters or otherwise... so we can only measure it degrees.

It never affects D. Cash

Answer:

Cash is never affected.

Step-by-step explanation:

When making adjusting entries, cash is never impacted.

Adjusting entries means to make the account up to date at the end of the accounting period.

All adjusting entries affect a minimum of one income statement account and one balance sheet account, but this never affects cash.

Answer: The answer to your question is 200

Step-by-step explanation: because when you are multiply a percentage by a whole number, you are trying to find what percentage of the whole number makes the problem true. In your case, the problem would be set up like this:

44% of what number is 88

0.44 of x is 88

So, now that you have the problem set up, the final answer would be 200 after you have gone through each answer and substituted each value to come up with a true statement

Answer:

[tex]\alpha=44\°[/tex]

Step-by-step explanation:

By definition, the tangent of an angle is the quotient between the side opposite the angle and the side adjacent to the angle

In other words:

[tex]tan(\alpha) = \frac{opposite}{adjacent}[/tex]

In this triangle, the length of the side adjacent to the desired angle is 50, and the length of the opposite side is 48

So:

[tex]tan(\alpha) = \frac{48}{50}\\\\tan(\alpha)= 0.96[/tex]

Finally

[tex]\alpha =arctan(0.96)\\\\\alpha=44\°[/tex]

Answer:

Final answer is [tex]?=44[/tex] degree.

Step-by-step explanation:

Using given information in the picture, we need to find the missing value of angle "?"

Apply formula of tangent function which is :

[tex]\tan\left(\theta\right)=\frac{opposite}{adjacent}[/tex]

[tex]\tan\left(?^o\right)=\frac{48}{50}[/tex]

[tex]\tan\left(?^o\right)=0.96[/tex]

[tex]?=\tan^{-1}\left(0.96\right)[/tex] degree

[tex]?=43.830860672092581097187030418859[/tex] degree

Hence final answer is [tex]?=44[/tex] degree.

Answer:

y^-1 = (x + 4)/5

Step-by-step explanation:

To find the inverse equation of the function y=5x - 4, first we need to switch the x and y:

→ y = 5x - 4

→ x = 5y - 4

Now, solving for 'y':

→ x = 5y - 4

→ x + 4 = 5y

→ y = (x + 4)/5

therefore, the inverse equation is: y^-1 = (x + 4)/5

Answer:

x = 8

Step-by-step explanation:

Given

- x = - 8 ( multiply both sides by - 1

- x × - 1 = - 8 × - 1, that is

x = 8

Answer:

x = 8

Step-by-step explanation:

Given

- x = - 8 ( multiply both sides by - 1

- x × - 1 = - 8 × - 1, that is

x = 8

This is the answer (I believe): 18 + x = 29

Answer:

11

Step-by-step explanation:

29-18 is 11

The answer is the last one, 1/12(-x-4).

Explanation:

What is the question being asked here?

Answer:

x² - 4x + 2 = (x - 2)²

Answer:

x= -5 makes the given equation  -4x = 20 true

Step-by-step explanation:

We have been given the equation;

-4x = 20

we are to determine the value of x that will make the equation true. We simply make x the subject of the formula;

divide both sides of the equation by -4;

(-4x)/(-4) = 20/(-4)

x = -5

Therefore, x= -5 makes the given equation  -4x = 20 true

Answer:

[tex]x=-5[/tex]

Step-by-step explanation:

The given linear equation is:

-4x = 20

To find the value of x that makes the equation true, we need to solve for x.

We divide both sides by -4 to obtain:

[tex]\frac{-4x}{-4}=\frac{20}{-4}[/tex]

This is the sane as:

[tex]\frac{-4x}{-4}=\frac{-5\times-4}{-4}[/tex]

We cancel out the common factors to get:

[tex]x=-5[/tex]

Answer:

-10

Step-by-step explanation:

xy = k

(-2)(5) = k

-10 = k

Answer: -10

Step-by-step explanation:

Given: The inverse variation equation is given by :-

[tex]xy=k[/tex]

To find : The constant of variation, k, when x=-2 and y=5

Substitute the given values of x and y in the given inverse equation , we get

[tex]-2\times 5=k\\\\\Rightarrow\ k=-10[/tex]

Hence, the value of constant of variation = -10

Answer:

Final answer is [tex]t=5[/tex].

Step-by-step explanation:

Given equation is [tex]t^2-25=0[/tex].

Now we need to solve that equation for t when [tex]t>0[/tex].

[tex]t^2-25=0[/tex]

[tex]t^2-5^2=0[/tex]

[tex](t+5)(t-5)=0[/tex]

or [tex](t+5)=0[/tex], [tex](t-5)=0[/tex]

or [tex]t+5=0[/tex], [tex]t-5=0[/tex]

or [tex]t=-5[/tex], [tex]t=5[/tex]

Given that t>0

so that means t=-5 is not possible.

Hence final answer is [tex]t=5[/tex].

Answer:

1)no

2)no

Fractions are rational numbers

Step-by-step explanation:

irrational numbers are numbers which can't be written as ratios, fractions, or rational decimals

hope this helps!

No, to be proportional, there would be a consistent pattern between x and y. For example 2 times 2.5 is 5. And 3 times 2 is 6. The ratio is not the same.

Answer:

The top left graph.

Step-by-step explanation:

That is because it goes through y=-2

Final answer:

To find the total cost per mile to rent the car, add the rental cost for 5 days to the gasoline cost, then divide by the miles driven. Ruth Barr's total cost per mile was approximately $0.3785.

Explanation:

To calculate the total cost per mile to rent the car, we need to add the cost of renting the car for 5 days to the cost of gasoline and then divide the sum by the number of miles driven.

Calculate the rental cost for 5 days: 5 days × $59.95/day = $299.75.

Add the cost for gasoline: $299.75 (rental cost) + $137.76 (gasoline) = $437.51.

Divide the total cost by the number of miles driven: $437.51 ÷ 1156 miles = approximately $0.3785 per mile.

The total cost per mile Ruth Barr spent to rent the car was approximately $0.3785.

let's recall that the volume of a rectangular prism is simply the product of its 3 dimensions.

so the volume for the first one is simply 3*4*8 = 96.

now, let's do some quick prime factoring of that 96

96 = 2*2*2*2*2*3

since we know the factors of 96, and we can rearrange them in any way we wish and will always have a product of 96, well, le'ts do some rearranging for the second prism.

the second prism has 4 and 4, namely 2*2 and 2*2, what's leftover? 2*3.

so the second prism must be (2*2) * (2*2) * (2*3), namely a 4x4x6.

Answer:18.12

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

For this case we have that the boundary line of inequality is dotted, therefore equality is not included.

We find the slope of the line, substituting two points that pass through it:

[tex](0,3)\\(3,5)\\m = \frac {5-3} {3-0} = \frac {2} {3}[/tex]

We evaluate a point within the region and see which case is met:

[tex](x, y) :( 0.6)[/tex]

We replace:

[tex]A) y <\frac {2} {3} x + 3\\6 <0 + 3\\6 <3[/tex]

It is not fulfilled, we discard the first option.

[tex]C) y> \frac {2} {3} x + 3\\6> 0 + 3\\6> 3[/tex]

Is fulfilled!

Answer:

Option C

SSS Similarity Theorem

Answer:

B

Step-by-step explanation:

Find all probabilities:

A. False

[tex]Pr(\text{red shirt}|\text{large shirt})=\dfrac{\text{number red large shirts}}{\text{number large shirts}}=\dfrac{42}{77}=\dfrac{6}{11}\\ \\Pr(\text{large shirt})=\dfrac{\text{number large shirts}}{\text{number shirts}}=\dfrac{77}{165}=\dfrac{7}{15}[/tex]

B. True

[tex]Pr(\text{blue shirt}|\text{large shirt})=\dfrac{\text{number blue large shirts}}{\text{number large shirts}}=\dfrac{35}{77}=\dfrac{5}{11}\\ \\Pr(\text{blue shirt})=\dfrac{\text{number blue shirts}}{\text{number shirts}}=\dfrac{75}{165}=\dfrac{5}{11}[/tex]

C. False

[tex]Pr(\text{shirt is medium and blue})=\dfrac{\text{number medium and blue shirts}}{\text{number shirts}}=\dfrac{48}{165}=\dfrac{16}{55}\\ \\Pr(\text{medium shirt})=\dfrac{\text{number medium shirts}}{\text{number shirts}}=\dfrac{88}{165}=\dfrac{8}{15}[/tex]

D. False

[tex]Pr(\text{large shirt}|\text{red shirt})=\dfrac{\text{number red large shirts}}{\text{number red shirts}}=\dfrac{42}{90}=\dfrac{7}{15}\\ \\Pr(\text{red shirt})=\dfrac{\text{number red shirts}}{\text{number shirts}}=\dfrac{90}{165}=\dfrac{6}{11}[/tex]

1/6p + (-4/5) is the equivalent expression. You have to add like terms, meaning constants are added to constants, variables are added to variables, etc. the result you get from adding like variables leaves you with 1/6p + (-4/5) or 1/6p - 4/5

For this case we must add the given series. We expanded the series for each of the values of i, that is, from 1 to 5:[tex]3 (1) +3 (2) +3 (3) +3 (4) +3 (5) =\\3 + 6 + 9 + 12 + 15 =[/tex]

We add the terms:

[tex]9 + 9 + 12 + 15 =\\18 + 12 + 15 =\\30 + 15 =\\45[/tex]

Finally, the value of the given series is 45.

Answer:

45

The complete factorization of the polynomial [tex]x^3 + x^2 + 9x + 9[/tex] is [tex]x + 1)(x^2 + 9)[/tex] using real coefficients, and [tex](x + 1)(x + 3i)(x - 3i)[/tex] using complex coefficients.

The complete factorization of the polynomial [tex]x^3 + x^2 + 9x + 9[/tex] can be found by grouping and factoring terms with common factors.

To proceed, let's group the terms as follows: [tex](x^3 + x^2) + (9x + 9).[/tex]

Factoring out the common factors in each group gives us [tex]x^2(x + 1) + 9(x + 1).[/tex]

Now, we notice that (x + 1) is a common factor in both terms, so we can factor it out to get our complete factorization: [tex](x + 1)(x^2 + 9).[/tex]

As [tex]x^2 + 9[/tex] can't be factored further using real coefficients, this is the fullest factorization in the realm of real numbers.

However, if complex numbers are considered, [tex]x^2 + 9[/tex] can be expressed as [tex](x + 3i)(x - 3i)[/tex], where i is the imaginary unit.

So, the complete factorization using complex coefficients is [tex](x + 3i)(x - 3i)[/tex]

y = 4x - 10. The linear functions y = 4x - 10 represent the line given by the point-slope equation y - 2 = 4(x - 3).

In order to solve this problem, we have to take the point-slope equation y - 2 = 4(x - 3) and convert it to the linear function form y = mx + b as follow:

y - 2 = 4(x - 3)

y - 2 = 4(x) - (4)(3)

y - 2 = 4x - 12

y - 2 + 2 = 4x -12 +2

y = 4x - 10 (Linear function)

Dividing fractions is basically the same thing as multiplying but by the reciprocal. I will give an example.

1/2 divided by 1/3

To solve this you do 1/2 multiplied by 3/1 so you switch the numerator and denominator.

Answer:

point s is inside the circle.

Point s is inside the circle

Answer:

I think 15/20

Step-by-step explanation:

If you multiply the denominator by 5 it would equal 20 and if you multiply 3 by 5 it would equal 15, which you would of wanted to know what could 3 and 4 both get multiplied by to get a number.

Hope i have helped you!

Answer:

Simplifying

5x = 3x + 14

Reorder the terms:

5x = 14 + 3x

Solving

5x = 14 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

5x + -3x = 14 + 3x + -3x

Combine like terms: 5x + -3x = 2x

2x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0

2x = 14 + 0

2x = 14

Divide each side by '2'.

x = 7

Simplifying

x = 7

Step-by-step explanation: