What is the additive inverse of 6x-21?

The correct answer is D. $2.75 / $3.24

To determine how much you should expect to pay for gas in Philadelphia versus Cleveland, we need to compare the transportation expenses in both cities. Based on the given data, the transportation expenses are as follows:

Philadelphia: $117

Cleveland: $106

To calculate the expected gas prices, we need to consider the transportation expenses relative to the national average. The formula to find the expected gas price is:

Expected Gas Price = National Average * (Transportation Expense / National Average)

National Average for gas = $2.59

For Philadelphia:

Expected Gas Price in Philadelphia = $2.59 * ($117 / 92) ≈ $3.30

For Cleveland:

Expected Gas Price in Cleveland = $2.59 * ($106 / 78) ≈ $3.51

Comparing the expected gas prices, we find that:

A. $3.03 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

B. $1.95 / $2.59: This option does not match the expected gas prices in Philadelphia and Cleveland.

C. $2.34 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

D. $2.75 / $3.24: This option matches the expected gas prices in Philadelphia and Cleveland.

Therefore, the correct answer is:

D. $2.75 / $3.24

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Answer:

wouldn't it be 3:20 P.M.?

Answer:

3:20

Step-by-step explanation:

4:40- 1 hour 3:40- 20 equals 3:20

Answer:

15 choose 2 = 105

\(=\frac{15!}{2!\left(15-2\right)!}\)

Step-by-step explanation:

Reason:

The negative out front is distributed to each term inside the parenthesis.

This will flip the sign of each term.

For more information, search out "distributive property".

Answer:

23/10

Step-by-step explanation:

The number c that satisfies the conclusion of the Mean Value Theorem for the function f(x) = x + 3/x on the interval [1, 14] is approximately c = 3.75.

To find the number c that satisfies the conclusion of the Mean Value Theorem for the function f(x) = x + 3/x on the interval [1, 14], follow these steps:

1. Verify the conditions of the Mean Value Theorem:
  The function f(x) = x + 3/x is continuous on the closed interval [1, 14] and differentiable on the open interval (1, 14).

2. Calculate the average rate of change of the function on the interval:
  f(14) = 14 + 3/14 ≈ 14.214
  f(1) = 1 + 3/1 = 4
  Average rate of change = (f(14) - f(1)) / (14 - 1) ≈ (14.214 - 4) / 13 ≈ 0.786

3. Differentiate the function to find the instantaneous rate of change:
  f'(x) = 1 - 3/x²

4. Set f'(x) equal to the average rate of change and solve for x:
  1 - 3/x² = 0.786
  x² = 3 / (1 - 0.786)
  x² ≈ 14.056
  x ≈ √14.056 ≈ 3.75

The number c that satisfies the conclusion of the Mean Value Theorem for the function f(x) = x + 3/x on the interval [1, 14] is approximately c = 3.75.

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Answer:

z=3

Step-by-step explanation:

2(2z -4)=4

Divide by 2

2/2(2z -4)=4/2

2z-4 = 2

Add 4 to each side

2z-4+4 = 2+4

2z = 6

Divide by 2

2z/2 = 6/2

z=3

Answer:

  6

Step-by-step explanation:

You want to know the number of uphill integers divisible by 15, where an uphill integer is one that has its digits strictly increasing.

An integer will be divisible by 15 if and only if it is divisible by 3 and 5. An integer is divisible by 5 if it ends in 5 or 0. An uphill integer cannot end in 0, so must end in 5.

An integer is divisible by 3 if the sum of its digits is divisible by 3

An uphill integer will have differences between successive digits that are positive integers. In order for the final digit to be 5, the sum of these differences must be 5. Hence we can find uphill integers by considering the "integer partitions" of 5: the sets of positive integers whose total is 5. Those sets would be ...

  {5}, {4, 1}, {3, 1, 1}, {2, 2, 1}, {2, 1, 1, 1}, {1, 1, 1, 1, 1}

Uphill integers will also have digit differences that are some permutation of each of these sets. For example, the digit differences may be {4, 1} or {1, 4}, corresponding to the numbers 45 or 15.

The uphill integers that end in 5 are ...

  5, 45, 15, 35, 25, 345, 145, 125, 245, 235, 135, 2345, 1345, 1245, 1235, 12345

We already know each of these is divisible by 5. The ones that have a digit total that is a multiple of 3 are ...

  15, 45, 135, 345, 1245, 12345

There are 6 uphill integers divisible by 15.

Answer:

A. 560

Step-by-step explanation:

multiply 600 by 0.93 in order to find out what 93% of 600 is.

600 x 0.93 = 558

since 558 isn't one of the options you find which one is closest to it, then divide by 600 in order to see if it's still 93%

a) 560/ 600 = 0.93333 = 93.3%

there's your answer.

but to compare it with the rest of the answer choices:

b) 540 / 600 = 0.9 = 90%

c) 470 / 600 = 0.78333 = 78.3%

d) 490 / 600 = 0.81667 = 81.6%

none of these are in the range of 93, so they're incorrect

Answer: £198.27

Step-by-step explanation:

Answer:

Part A:

1, 4, 5, and 8 = 55 degrees.

3, 2, 6, and 7 = 125 degrees.

Part B:

I know that angle 1 is 55 degrees so angle 7 would be 125.

I know that angle 1 is 55 and to get angle 2, both angles should add up to 180 so 180 - 55 is 125, that is how I find angle 2 = 125 degrees.

Step-by-step explanation:

This is what I wrote, I hope it helps and tell me if I am wrong but I think it is right.

Have a Meowgical day!

Part A:

The values of the angles are:

∠1 = 55

∠2 = 125

∠3 = 125

∠4 = 55

∠5 = 55

∠6 = 125

∠7 = 125

∠8 = 55

Part B:

∠1 and ∠7 are exterior angles on the same side.

∠1 and ∠2 form a straight angle.

We have,

Part A:

From the figure,

∠1 and ∠5 are corresponding angles.

So,

∠1 = ∠5 = 55

And,

∠1 and ∠8 are alternate exterior angles.

∠1 = ∠8 = 55

And,

∠1 and ∠4 are vertical angles.

∠4 = 55

And,

∠5 and ∠8 are vertical angles.

∠5 = 55

Now,

∠1 and ∠2 form a straight angle.

This means,

∠1 + ∠2 = 180

∠2 = 180 - 55

∠2 = 125

And,

∠5 and ∠6 forms a straight angle.

This means,

∠5 + ∠6 = 180

∠6 = 180 - 55

∠6 = 125

Now,

∠2 and ∠3 are vertical angles.

∠6 and ∠7 are vertical angles.

This means,

∠3 = 125

∠7 = 125

Part B:

∠1 and ∠7 are exterior angles on the same side.

This means,

∠1 + ∠7 = 180

Substituting the values.

55 + 125 = 180

180 = 180

This is true.

And,

∠1 and ∠2 form a straight angle.

This means,

∠1 + ∠2 = 180

55 + 125 = 180

This is true.

Thus,

The values of the angles are:

∠1 = 55

∠2 = 125

∠3 = 125

∠4 = 55

∠5 = 55

∠6 = 125

∠7 = 125

∠8 = 55

And,

∠1 and ∠7 are exterior angles on the same side.

∠1 and ∠2 form a straight angle.

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Answer:

4.25

Step-by-step explanation:

Multiply each multiple choice by 6 until you get the given total.

4.25 × 6 = 25.5

The height and radius that will minimize the surface area for a cylindrical can with a volume of 2000 cm³ are

approximately 16.40 cm and 6.20 cm, respectively.

We will use the given volume and surface area equations:

V = πr²h

SA = 2πr² + 2πrh

Solve the volume equation for height:

h = V / (πr²) = 2000 / (πr²)

Substitute h in the surface area equation:

SA = 2πr² + 2πr(2000 / (πr²)) = 2πr² + 4000 / r

Find the derivative of SA with respect to r:

d(SA)/dr = 4πr - 4000 / r²

Set the derivative equal to zero and solve for r:
4πr - 4000 / r² = 0
4πr = 4000 / r²
r³ = 4000 / (4π)
r³ = 1000 / π
r =\((1000 / π)^(1/3)\)

Approximate the value of r:

r ≈ 6.20 cm (rounded to 2 decimal places)

Find the height using the value of r:

h = 2000 / (π(6.20)²) ≈ 2000 / (π(38.44)) ≈ 16.40 cm (rounded to 2 decimal places)

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Answer:

Look at the picture

Step-by-step explanation:

For 0 rise it would just be eight dollars

Answer:$917.58.

Step-by-step explanation:

The formula for compound interest is A = P(1 + r/n)^(nt) where A is the final amount, P is the principal (initial deposit), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

In this case, the initial deposit is $500, the annual interest rate is 4%, the number of times compounded per year is 12 (monthly), and the number of years is 12.

So, we can plug in the values into the formula:

A = $500(1 + 0.04/12)^(12*12) = $500(1.003333333)^(144) = $500(1.835170816) = $917.585

The final amount in her account after 12 years is $917.58

To round to the nearest cent, we can use the following method:

If the digit in the thousandths place is less than 5, we keep the hundredths digit as is.

If the digit in the thousandths place is greater than 5, we round up the hundredths digit.

In this case the digit in the thousandths is 5 so, we have to round up the hundredths digit of $917.58.

So, the final amount in her account after 12 years is $917.59.

Answer: $800.516

Step-by-step explanation:

We use the equation

A = P(1 + )^nt

P = principal

r = rate of interest

t = times

Now let's solve

P = $500

r = 4% = 0.04

t = 12 years

A = $500(1 +\(\frac{0.04}{12}\) ) ^12 = $800.516

Answer:

The mean will increase

Step-by-step explanation:

Answer:

" (1) Reflect ABC across the x-axis and call this new triangle A'B'C'. (2) Translate A'B'C' 2 units right and 6 units up so that its image is A''B''C''. "

Step-by-step explanation:

Answer:

ummm it is too blurry even if you zoom sorry mate

Step-by-step explanation:

Since the provided equation is inconsistent, it cannot intersect.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

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Step-by-step explanation:

30 cookies = 2 cups

1 cookie = 2/30 cups = 1/15 cups

40 cookies = 1/15 × 40 = 8/3 cups

Answer:

736 cm^2.

Step-by-step explanation:

Adding the individual rectangles:

Surface area = 8*10 + 8*10 + 8*16 + 8*16 + 10*16 + 10*16

= 160 + 256 + 320

= 736.

Answer:

y = -1.0

Step-by-step explanation:

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 4y and subtract 14 from both sides:

1y (+4y) + 14 (-14) = -4y (+4y) + 9 (-14)

1y + 4y = 9 - 14

Combine like terms:

5y = -5

Isolate the variable, y. Divide 5 from both sides:

(5y)/5 = (-5)/5

y = -5/5

y = -1

y = -1 is your answer.

~

Answer:

270cm^2

Step-by-step explanation:

Split the shape into 2 rectangles. Let's go with the 8x9 rectangle and the 18x11 rectangle.

8*9= 72

18*11= 198

72+198= 270cm^2

Answer:

270 cm squared

Step-by-step explanation:

hi! the work is attached. good luck :)

Answer:

Below in bold.

Step-by-step explanation:

m < C = 180 - 43 - 115 = 22 degrees.

Using the Sine Rule:

6 / sin 22 = a / sin 43

a sin 22 = 6 sin 43

a = 6 sin 43 / sin 22

a = 10.92 to 2 DP's.

Applying the same rule  to calculate b:

6 / sin 22 = b / sin 115

b = 6 sin 115 / sin 22

b = 14.52 to 2 DP's.

Una ecuación cuadratica que solo tiene el termino cuadratico se escribe como:

y = a*x^2

La ecuación cuadratica general se escribe como:

y = a*x^2 + b*x + c

Donde el termino cuadratico es el primero, el segundo es el lineal y el tercero es el constante.

Entonces, si queremos una ecuación cuadratica que solo tenga el termino cuadratico, la ecuación sera:

y = a*x^2

Sí quieres aprender más sobre cuadraticas, puedes leer:

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Answer: 6

Step-by-step explanation:

14-8=6

Answer:

the answer is 6 since it says fewer we'll be using subtraction or the minus sign so 14-8=6

Answer:

3.75

hope this helps, lmk if u need an explanation on how that's the answer

Answer: 3.75

15/4, although this is a fraction, it is also division..

Answer: yes but... i might be wrong so i think no cause i had a question like this and it was no

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

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