Can anyone please help me under this and what I'm supposed to do. Thank you in advance

Answers

Answer 1

Answer: Answer:

n = 31

Explanation:

Solve the equation by rewriting in exponential form using the definition of logarithm and simplifying. In other words, solve for n.

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A ball is thrown straight up into the air from the top of a building standing at 50 feet with an initial velocity of 65 feet per second the height of the ball in feet can be modeled by the following function: h(t)=-16t^2++16t+96 When does the ball reach its maximum height?

Answers

Answer:

0.5 seconds (at 100 feet in the air).

Step-by-step explanation:

So, the height of the ball can be modeled by the function:

$h(t)=-16t^2+16t+96$

Where h(t) represents the height in feet after t seconds.

And we want to find its maximum height.

Notice that our function is a quadratic.

Therefore, the maximum height will occur at the vertex of our function.

The vertex of a quadratic function in standard form is given by the formula:

$(-(b)/(2a), f(-(b)/(2a)))$

In our function, a=-16; b=16; and c=96.

Find the x-coordinate of the vertex:

$x=-((16))/(2(-16))=1/2$

So, the ball reaches its maximum height after 0.5 seconds of its projection.

Notes:

To find it’s maximum height, we can substitute 1/2 for our function and evaluate. So:

$h(1/2)=-16(1/2)^2+16(1/2)+96$

Evaluate:

$h(1/2)=-4+8+96=100$

So, the ball reaches its maximum height of 100 feet 0.5 seconds after its projection.

John's electricity bill costs $20.90 per month plus $1.23 per kilowatt hour. How many kilowatt hours can he use and keep his monthly cost no more than $109

Answers

Answer:

71.63 kilowatts hours

Step-by-step explanation:

We are told in the question:

John's electricity bill costs $20.90 per month plus $1.23 per kilowatt hour.

We are to find, How many kilowatt hours can he use and keep his monthly cost no more than $109.

Step 1

$109 - $20.90

= $88.1

$88.1 is the amount left to spend on killowatts of electricity per hour after removing the normal monthly electricity bill in a month

Step 2

$1.23 = 1kilowatts per hour

$88.1 = y kilowatts per hour

Cross Multiply

= $1.23 × y kilowatts per hour = $88.1 × 1 kilowatts per hour

y kilowatts per hour = $88.1 × 1 kilowatts per hour/ $1.23

= 71.62601626kilowatts hour.

Approximately = 71.63 kilowatts hour

Therefore, John can use 71.63 kilowatts per hour and keep his monthly cost no more than $109

Answer:

kilowatt hours can he use and keep his monthly cost no more than $109

Alice is saving to buy a house and currently has $2,000 in her savings account. She's planning to contribute $150 to the account each month. Identify the function that describes the relationship between the number of months that pass (n) and the balance of her savings account, f(n).

Answers

Answer:

f(n) = 2,000 + 150(n − 1)

Step-by-step explanation:I took the test

Answer:

f(n)= 2,000+150n

Step-by-step explanation:

hope this helps.

Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV.Rectangle JKLM is drawn on the grid with vertices J at negative 8, negative 8, K at negative 4, negative 8, L at negative 4, ne

What will be the location of T' in the image trapezoid S'T'U'V'? (1 point)

(12, 6)
(12, 7)
(16, 7)
(16, 6)

Answers

Answer:

(16, 7)

Step-by-step explanation:

Given rectangle JKLM

As per graph, the rectangle J'K'L'M' is the transformation of JKLM

Based on one of the points we can calculate the transformation rule:

Let's use points K and K'

K((-4, -8) → K'(6, -5)
6 - (-4) = 10
-5 - (-8) = 3

So the rule is

(x', y') → (x + 10, y +3)

Trapezoid STUV:

Using point T(6, 4)

Applying same rule:

T' = (6 + 10, 4 +3) = (16, 7)

Answer: its c (16, 7)

i just took the test and got it right

What is the sum of 52.38 divided by 16

Answers

52.38 divided by 16 is 3.27

Help please asp. !!!

Answers

9514 1404 393

Answer:

(d) 101,376 square inches

Step-by-step explanation:

At $5.50 each, Larry can afford ...

$485/($5.50/board) ≈ 88.2 boards

Each of the 88 boards is 8 inches wide and 144 inches long, so the total area Larry can afford to cover is ...

(88)×(8 in)(144 in) = 101,376 in²

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