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2 years ago

The function f(t) represents the cost to connect to the Internet at an online gaming store. It is a function of t, the time

1 answer:

7 0

The true statement about the Internet connection cost is D. Any amount of time over an hour and a half would cost $10.

<h3>How to explain the cost?</h3>

In this situation, the function is f (t), when t is a value between 0 and 30. The cost is $0 for the first 30 minutes

When t is a value between 30 and 90, the cost is US$ 5 if the connection takes between 30 and 90 minutes.

Here, the true statement about the Internet connection cost is D. Any amount of time over an hour and a half would cost $10.

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Select an equation for this graph please help me.

MrRissso [65]

A is the answer.

First, figure out all the coordinates for the points marked red( I Did this for all except first one, which was not on the right point)

They were:

-1,1

0,2

1,4

2,8

3,16.

Then, we must do trial and error for each of the options until we find one that fits perfectly. Luckily, the first option was right!

Hope this helps

3 0

2 years ago

The figure shows a rectangle with a width of 6k inches. The length of the rectangle is 4 inches shorter than the width.

Aliun [14]

Step-by-step explanation:

b. what is the perimeter of the rectangle in terms of k?

4 0

2 years ago

Read 2 more answers

Find the sum of the first five terms using the geometric series formula for the sequence 1/2, -1,2,-4…

sammy [17]

The sum of the first five terms is 11/2

<h3>How to determine the sum?</h3>

The series is given as:

1/2, -1,2,-4…

Calculate the common ratio of the series using

r = -4/2

Evaluate

r = -2

The sum is then calculated as:

$S_n = a\frac{1 - r^n}{1 - r}$

This gives

$S_n = \frac{1}{2} * \frac{(1 - (-2)^5}{1 + 2}$

Evaluate

$S_n = \frac{1}{2} * \frac{33)}{3}$

Evaluate

$S_n =\frac{11}{2}$

Hence, the sum of the first five terms is 11/2

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7 0

1 year ago

A rectangular garden has a walk around it of width x. The garden is 20 ft by 15 ft. Write a function representing the combined w

kodGreya [7K]

Answer: A(x) = 15 ft + 2x

EXPLANATION

Given,

The dimension of the rectangular garden is 20 ft by 15 ft.

Dimension of a rectangle is written as Length by Width

This implies that,

Length of the garden = 20 ft

Width of the garden = 15 ft

The garden has a walk around it of width x.

The combined width of the garden = Width of garden + 2x

[we are adding twice the width of the walk because it is around the garden (this means it will add to the width of the garden on both the left and right sides)]

Combined width of the garden, A(x) = Width of garden + 2x

Since width of the garden = 15 ft

A(x) = 15 ft + 2x

5 0

3 years ago

Help.. or die.. you decide.

Studentka2010 [4]

Answer:

<u>Problem 1:</u>

x = 12 unit ; y = 120 ; z = 60 ; perimeter = 58 unit

<u>Problem 2:</u>

FG = 16 unit ; EG = 2√153 unit ; y = 5 unit

Step-by-step explanation:

<u>Problem 1</u>

Since ABCD is a parallelogram. so,

∠ABC = ∠ADC [Since opposite angles of a parallelogram are equal]

but, ∠ADC = 120° [given]------------(1)

So, ∠ ABC = y° = 120° ----------------(2)

Again, sum of two consecutive angles of a parallelogram is, 180°, so,

∠BCD + ∠ADC = 180°

So, ∠BCD =z° = 180° - 120° = 60° [Putting the value of ∠ADC from (1)]-----(3)

Again, since opposite sides of a parallelogram are equal,

so, BC = AD

⇒ (x + 5) = 17

⇒ x = 12------------------------(4)

So, AB = 12 unit , AD = 17 unit

So, the perimeter of the parallelogram is given by,

2(AB + AD)

= $2 \times (12 + 17)$ unit

= 58 unit --------------------------------------------------------------(5)

<u>Problem 2</u>

Perimeter of parallelogram EFGH = 52 unit

So, 2(EH + GH) = 52 unit

⇒ 2 ( x + x + 6) = 52

⇒ 4x = 40

⇒ x = 10

Now, FG = EH [since opposite sides of a parallelogram are equal]

= (x + 6) unit

= (10 + 6) unit = 16 unit ------------------------------(1)

Again for a parallelogram, the diagonals bisect each other.

so, EG = $2 \times \sqrt{153}$

= 2√153 unit -----------------------------------------(2)

and,

3y - 10 = y

⇒ y = 5 -----------------------------------------------(3)

5 0

3 years ago