What is the slope of the line in the graph?
What is the slope of the line in the graph? - 1

Answers

Answer 1
Answer:

Step-by-step explanation:

slope = Change of y/ change of x

= 4/4

= 1

slope + or > 0 y increases when x increases


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Calculate the volume of the cylinder​

Answers

Answer:

200 m³

Step-by-step explanation:

The volume of cylinder = π · r² · h

We Know

Area of circle = 25 m²

h = 8 m

We take

25 x 8 = 200 m³

So, the volume of the cylinder is 200 m³.

A first number plus a second number is 10. Twice the first number plus the second totals 26.

Answers

1st number = x
2nd number = y

2x + y = 26
                    -
  x + y = 10

x = 16

26 - (2 x 16) = -6

10 - 16 = -6


Number 1 is 16
Number 2 is -6


A picture frame is 18 inches long and 8 inches tall. It is 2 inches wide on all 4 side. What is the area of the picture frame?

Answers

x=18-2\cdot2=18-4=14\ (in)\n\ny=8-2\cdot2=8-4=4\ (in)\n\nA=xy\to A=14\cdot4=56\ (in^2)

Answer:88

Step-by-step explanation:

The area of the whole image is 144, the area of the picture is 56. Subtracting those from each other, you get that the picture frame is 88.

An elevator is going 180 feet above the first floor each second the 12 feet it descent 12 feet

Answers

a) The change in the height of the elevator each second is negative 12.

b) The complete table for Time and Change in attached at the end.

c) The elevator will take 15 seconds to get to reach the first floor.

d) The height of the basement floor with respect to the first floor 48 feet.

a. The change in the height of the elevator each second is a decrease of 12 feet.

Since it's descending, the change is negative, so the integer is -12.

b. Completing the table attached at the end.

c. Now, the Estimated time

\text{Estimated time} = \frac{\text{Total height}}{\text{Change in height per second}}

\text{Estimated time} = (180)/(-12)                        

\text{Estimated time} = -15 \ \text{seconds}                        

However, since time cannot be negative, the negative sign in this case just indicates the direction (descending).

So, the elevator takes 15 seconds to get to the first floor.

d. From the first floor, it takes 4 seconds to reach the basement floor. The elevator descends 12 feet each second.

So, the change in height during these 4 seconds is:

\text{Change in height} = 4 \ \text{seconds}\cdot (-12 \ \text{feet/second}) = -48 \ \text{feet}

The height of the basement floor with respect to the first floor is a decrease of 48 feet.

So, the basement floor is 48 feet below the first floor.

Read more about Unitary Method at:

brainly.com/question/35438142

The question above is incomplete. The complete question is:

An elevator is 180 feet above the first floor. Each second it descends

12 feet.

a. What integer is the change in the height of the elevator each second?

b. Copy and complete the table.

c. Estimate how many seconds it takes the elevator to get to the first floor. Explain your reasoning.

d. From the first floor, it takes 4 seconds to reach the basement floor. What is the height of the basement floor with respect to the first floor?

A college student realized that he was spending too much money on fast food. For the remaining 5 months of the year his goal is to spend a mean of $50 a month towards fast food. How much can he spend in December, taking into consideration that in the other 4 months he spent $100, $25, $80, and $30, respectively? Round your answer to two decimal places, if necessary.

Answers

Answer:

The college student can spend $15.00 in December.

Step-by-step explanation:

This can be calculated as follows:

Let y represents the amount to spend in December.

The can now us the formula for calculating a mean is as follows:

Mean = Sum of montlhy spending / Number of months ...... (1)

From the question, we have:

Mean = $50

Sum of monthly spending = $100 + $25 + $80 + $30 + y = $235 + y

Number of months = 5

Substituting the values into equation (1) and solve for y, we have:

$50 = ($235 + y) / 5

$50 * 5 = $235 + y

$250 = $235 + y

$250 - $235 = y

$15.00 = y

Therefore, the college student can spend $15.00 in December.

Final answer:

To achieve a mean expenditure of $50 per month on fast food across 5 months, the student can only spend $15 in December, considering that he has already spent a total of $235 in the other 4 months. This keeps his total spending at $250, giving an average of $50 per month.

Explanation:

The student wants to spend a mean of $50 per month on fast food for 5 months. In 4 of those months, he has already spent $100, $25, $80, and $30, respectively. That totals to $235 in spent funds already. Since the goal is a $50 monthly average, we multiply $50 by 5 months to get a total desired spending of $250. To find out how much he can spend in December, we subtract the total already spent from the total desired spending. As such, he can spend $250 - $235, which equals to $15 in December.

Learn more about Average Expenditure here:

brainly.com/question/32412954

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6. What is the slope of the line pictured?​

Answers

Answer:

-1/3

Step-by-step explanation:

We can do this by counting the number of spaces away the points shown are. Starting from the leftmost point, you move down one, or -1, units, and right 3 units. Since slope is defined as rise over run, you can then say that the slope is:

-1/3

Hope this helps!