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the temperature will be 2.5 degrees per second.

We are given the data:

Seconds       Temperature (°F)

0                            75

10                          100

20                         125

30                         150

We need to find the temperature in degrees per second.

So, we get that:

Seconds       Temperature (°F)                    degrees / sec

0                            75                                            Nil

10                          100                           (100 - 75) / (10 - 0) = 2.5

20                         125                         (125 - 100) / (20 - 10) = 2.5      

30                         150                         (150 - 125) / (30 - 20) = 2.5            

Therefore, the temperature will be 2.5 degrees per second.

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The bank can borrow $6440 based on the $7000 deposit.

The following deposit amount: $7000

Because the reserve rate is 8%, the bank will reserve 8% of the 7000. The remaining funds can be lent by the bank.

7000 × (8/100) = amount set aside

= $560

Thus, the reserve deposit is $560.

Amount the bank is willing to lend = 7000 - 560 = $6440

Thus, the bank can lend $6440 based on a deposit of $7000.

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Answer: P = 4x + 2, A = x² + x - 6

Step-by-step explanation:

       Perimeter is the distance around a shape, or all the sides added together. We will create an equation, plug in the known values, and then solve. The first step is to distribute, then we combine like terms.

   P = 2l + 2w

   P = 2(x + 3) + 2(x - 2)

   P = 2x + 6 + 2x - 4

   P = 4x + 2

       The area of a rectangle is found by multiplying the width by the length. We will use the FOIL method.

A = (x + 3)(x - 2)

A = x² + x - 6

First ➜ x * x = x²

Outside ➜ x * -2 = -2x

Inside ➜ 3 * x = 3x

Last ➜ 3 * -2 = -6

Add together ➜ x² + 3x - 2x - 6 = x² + x - 6

answer: x=3

5(3x+2)+7=6+2(3x−8)

1: Simplify both sides of the equation.

5(3x+2)+7=6+2(3x−8)

(5)(3x)+(5)(2)+7=6+(2)(3x)+(2)(−8)(Distribute)

15x+10+7=6+6x+−16

(15x)+(10+7)=(6x)+(6+−16)(Combine Like Terms)

15x+17=6x+−10

15x+17=6x−10

2: Subtract 6x from both sides.

15x+17−6x=6x−10−6x

9x+17=−10

3: Subtract 17 from both sides.

9x+17−17=−10−17

9x=−27

4: Divide both sides by 9.

9x/9=-27/9

x=−3

Answer:

6 1/3  

Step-by-step explanation:

18 3/4 divided by 3 is 6 1/3

Answer: The answer for this question is x=1

Step-by-step explanation: -3(2x-3)=-6x+9 first you multiply -3x with 2x and -3 to get -6x+9=-6x+9 then subtract nine from both sides to leaves -6x=-6x then you divide -6 on both sides and you get x=1.

Any value of x makes the equation true. All real numbers

Interval Notation: (−∞,∞)

Because if you solve it

-3(2x-3)=-6x+9

distribute

-6x + 9 = -6x + 9

subtract 9 from both sides

-6x = -6x

simplify

0 = 0

If the equation be y = x² + 4 then the inverse function be [tex]f^{-1} (x)=[/tex] ± [tex]\sqrt{x - 4[/tex].

An inverse function, also known as an anti function, is a function that can be reversed into another function. Simply put, if any function " f " takes x to y, then its inverse will take y to x. The inverse function is denoted by f-1 or F-1 if the function is denoted by ' f ' or ' F '.

Let the equation be y = x² + 4    

then the function be f(x) = x² + 4

y = x² + 4

⇒ x = y² + 4

simplifying the above equation, we get

x - 4 = y²

√y² = √x - 4

The value of y = ± √x - 4

Therefore, the inverse function be [tex]f^{-1} (x) =[/tex] ±√x - 4

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Answer:

9 x x

Step-by-step explanation:

commutative property just means you can switch the numbers around

[tex]{\huge\color{red}{\boxed{\fcolorbox{green}{black}{꧁ANSWER ꧂}}}}[/tex]

A stem and leaf plot is a simple kind of graph that is made out of the numbers themselves.

It is a means of displaying the main features of a distribution.

If a stem and leaf plot is turned on its side.

it will resemble a bar graph or histogram and provide similar visual information.

Answer:

A stem and leaf plot is a simple kind of graph that is made out of the numbers by their selves.

Answer:

x - y - 1 = 0

Step-by-step explanation:

Using y-intercept

b = y - m × x

b = 7 - (1) × (8) = -1

y = mx + b/Flip expression, subtracting from all sides

assuming x ≠ 0 for x = 1

assuming y = 0

y = x - 1

x - y - 1 = 0

Answer:

[tex]x = 14[/tex]

Step-by-step explanation:

[tex](6-x)-(x-5)-(4-x)=-\frac x2 \text{ // Distribute}\\\to 6 - x - x + 5 - 4 + x = -\frac x2 \text{ // Simplify}\\\to 7 - x = -\frac x2 \text{ // Multiply by 2}\\\to 2(7 - x) = 2(-\frac x2) \text{ // Distribute}\\\to 14 - 2x = -x \text{ // Add 2x}\\\to 14 = x[/tex]

Answer:

-12

Step-by-step explanation:

putting value of n in the equation will give you the answer

Answer:

C I think would be the answer.

Answer:

8/9

Step-by-step explanation:

4/9 times 2 is 8/9 and 8/9 is already the simplest way to put it so the answer is 8/9

Answer:

8/9

Step-by-step explanation:

(4/9)(2/1)

(4)/(9)(2)/(1)

8/9

0.888 (decimal)

The quotient that best represents the rate of change in the mountain goat’s elevation is 2.27 feet/minute.

Quotient can be defined as a mathematical expression that is simply used to represent the division of a number by another number.

The rate of change can be defined as a type of function that describes the average rate at which a quantity decreases or increases with respect to another quantity.

Mathematically, the rate of change can be calculated by using this formula;

Rate of change = Δy/Δx = Change in height/Change in time

Substituting the given parameters into the formula, we have;

Rate of change = Quotient = 50 feet/22 minutes

Rate of change = Quotient = 2.27 feet/minute.

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Answer:

[tex] \frac{2}{x {}^{4} } [/tex]

Step-by-step explanation:

[tex]1. \: \frac{32}{16} \times \frac{x {}^{3} }{x {}^{7} } \\ 2. \: 2 \times \frac{x {}^{3} }{x {}^{7} } \\ 3. \: 2x {}^{3 - 7} \\ 4. \: 2x {}^{ - 4} \\ 5. \: 2 \times \frac{1}{x {}^{4} } \\ 6. \: \frac{2}{x {}^{4} } [/tex]

The equation which can be used to find x is, [tex]\bold{\frac{1}{x} =\frac{1}{14} +\frac{1}{10} }[/tex]

The time taken by Franklin to make a 200 sq. foot cement patio = 14 hours

The time taken by Scott to make a 200 sq. foot cement patio = 10 hours.

Let x be the number of hours it would take Franklin and Scott to make the patio together.

Then x = 14 x 10 / (14 + 10)

⇒ 1 / x = (14+10)/(14 x 10)

⇒ 1/x = 1/14 +1/10

This is the equation to find the number of hours taken by Franklin and Scott together.

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Answer:

C

Edge2020

Step-by-step explanation:

Mean = Sum of all observations/Number of observations

The value of the middlemost observation, obtained after arranging the data in ascending or descending order, is called the median of the data.

Given,

The set of scores =  0, 40, 60, 70, 75, 80, 85, 95, 95, 100

                           = 700/9

                           = 77.777

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The number of coupons send by new club to existing members are 64.

For the given conditions in the question.

Let the existing number be 'x'.

3 times the number means do the multiplication of number by 3.

= 3x.

3 times as many to potential members than to existing members.

Thus,

3x = 192

x = 192/3

x = 64

Thus, the number of existing members are found to be 64.

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Based on the change in the temperature of the city over the 4-week period, the expression to show the average change in temperature each week is -20 / 4

When the expression is simplified, the result if -5°C which means that the temperature reduced by 5°C every week.

The average temperature change of the city each week can be found by:

= Total change in temperature / Number of weeks

Solving gives:

= -20 / 4

= -5°C

This means each week for the 4-week period, the temperature of the city decreased by 5°C.

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The volume of the square pyramid that has a side length of 7 and a height of 21 is calculated as: 343 units³.

A square pyramid is a type of pyramid that has a square base and four triangular faces.

The volume of a square pyramid can be calculated using the formula expressed as:

Volume (V) = 1/3(a²)(h), where a is the length of a side and h is the height of the square pyramid.

Given:

Side length (a) = 7 units

Height of the square pyramid = 21 units

Substitute

Volume (V) = 1/3(7²)(21)

Volume (V) = 1/3(49)(21)

Volume (V) = 1(49)(7)

Volume = 343 units³

Therefore, the volume of the square pyramid that has a side length of 7 and a height of 21 is calculated as: 343 units³.

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Answer:

Step-by-step explanation:

cevap a ANSWER A

The final cost of the book is 9.12

A sales tax is one that is levied on both the selling of products and services to businesses and on the purchases of those same goods and services by consumers. It's a form of consumption tax, which means it charges consumers for their purchases. Because sales taxes are typically passed on to customers at the moment of sale, it is classified as a consumption tax.

Solving the question:

Cost of the book = 9.95

Sale tax rate = 9%

Sale tax amount on 9.95 = 9.95/(9/100) = 9.12

Therefore, the final cost of the book is  = 9.12

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The final cost of the book is 9.12

A sales tax is one that is levied on both the selling of products and services to businesses and on the purchases of those same goods and services by consumers. It's a form of consumption tax, which means it charges consumers for their purchases. Because sales taxes are typically passed on to customers at the moment of sale, it is classified as a consumption tax.

Solving the question:

Cost of the book = 9.95

Sale tax rate = 9%

Sale tax amount on 9.95 = 9.95/(9/100) = 9.12

Therefore, the final cost of the book is  = 9.12

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

so 2.4 nails per second, multiply it by 60 (60 seconds in a minute) =144 so 144 nails per minute. 144 nails per minute times 60 minutes is 8640 nails per hour. If it’s running for 3 days non-stop it would be 72 hours, so 8640 multiplied by 72 (hours) 622,080 nails would be the total in 3 days.

694 divided by 41 is  16 remainder 38.

A division is a process of splitting a specific amount into equal parts.

given:

694÷41 is equal to 10+3+2+1

Now, performing the division

41  | 694  | 1 6

     - 41

__________

        284

         246

-___________

         38

So, when 694 is divided by 41 gives remainder 38.

Hence,  694 divided by 41 is  16 remainder 38.

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The numerical expression using commutative property of multiplication that is equivalent to 2⁸ is 2² x 2² x 2² x 2² = 256.

Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.

Now the given exponent is,

2⁸

Now, 8 can be written as using associative property of addition,

8 = 2 + 2 + 2 + 2

Thus we can write,

2⁸ = 2^( 2 + 2 + 2 + 2 )

Using exponential property

x^(a + b) = x^a . x^b

Thus we get,

2⁸ = 2^2 . 2^2 . 2^2 . 2^2

Thus numerical expression for 2^8 = 2^2 . 2^2 . 2^2 . 2^2

Solving we get,

2^8 = 4 x 4 x 4 x 4 = 256

Thus, the numerical expression using exponential property of multiplication that is equivalent to 2⁸ is 2² x 2² x 2² x 2² = 256.

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The midpoint of AR is (1/2 , 1).

Let the points be:

A(0,0) = (x₁,y₁)

B(1,2) = (x₂,y₂)

Midpoint = (x₁₊x₂/2) , (y₁₊y₂/2)

A location in the middle of a line connecting two points is referred to as the midpoint. The midpoint of a line is located between the two reference points, which are its endpoints. The line that connects these two places is split in half equally at the halfway. In addition, the halfway is reached if a line is drawn to divide the line that connects these two places.

= (0₊1/2) , (0₊2/2)

=(1/2 , 2/2)

= (1/2 , 1)

hence the midpoint of the number line is  (1/2 , 1).

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A possible real world scenario is that the product of your score in mathematics test and 16 is 8 more than the product of your score in mathematics test and 14

Expressions are mathematical statements that are represented by variables, coefficients and operators

The equation is given as

16x = 14x + 8

In the above equation, the variable of the equation is x while the number 8 is a constant

A possible real world scenario is that:

The product of your score in mathematics test and 16 is 8 more than the product of your score in mathematics test and 14

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