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Phantasy [73]
2 years ago
9

100 points!!What is the equation of the line with points represented in the table? What can yoy conclude about the line represen

ted in the table? Select all that apply?

Mathematics
1 answer:
Zina [86]2 years ago
3 0
Answer:

-4/3

This is really easy lol
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Use the function below to find f(1). f9t0=4
ExtremeBDS [4]

The value of the F(1) is 1/2 option (C) is correct after plugging the value of t = 1 in the provided function.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is attached in the picture please refer to the picture.

We have a function:

\rm F(t) = 4\dfrac{1}{2^{3t}}

Plug t = 1

\rm F(1) = 4\dfrac{1}{2^{3\times1}}

After solving:

F(1) = 1/2

Thus, the value of the F(1) is 1/2 option (C) is correct after plugging the value of t = 1 in the provided function.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

6 0
1 year ago
Explain how you simplfy 5(4i - 3m) + 2m
Galina-37 [17]

Answer:

20i - 13m. look at the picture

5 0
2 years ago
The Boston public school district has had difficulty maintaining on-time bus service for its students ("A Year Later, School Bus
erma4kov [3.2K]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 12

For the alternative hypothesis,

µ < 12

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 12 minutes

x = 8 minutes

σ = 12 minutes

n = 36

z = (8 - 12)/(12/√36) = - 4/2 = - 2

Test statistic = - 2

6 0
3 years ago
Shu Yi can't resist a sale. She recently bought a dress for $93 after it had been discounted 25%. She also purchased shoes that
klemol [59]
Dress: 93$ at 100-25%=75%
-> divide the marked down cost by the percentage to get the cost of a single percent and then multiply it with the markdown again to get the saved cost
93/75*25=93/3*1=31*1=31$
shoes 119$ at 100-15%=85%
119/85*15=119/17*3=7*3=21

add both savings together for the full sum: 31+21=52$
8 0
3 years ago
A pyramid-shaped vat has square cross-section and stands on its tip. The dimensions at the top are 2 m × 2 m, and the depth is 5
Strike441 [17]

Answer:

the water level increases at a rate of 1.718 m/min when the depth is 4 m

Step-by-step explanation:

the volume of the pyramid is

V = (1/3)(height)(area of base) = 1/3 H*L²

For the diagonal in the pyramid

tg Ф = Side Length/ Height = L / H = x / h

where h= depth of water , x= side of the corresponding cross section

therefore x= L *h/H

the volume of the water is

v= 1/3 h*x² = 1/3 (L/H)² h³

in terms of time

v = Q*t

then

Q*t = 1/3 (L/H)² h³

h³ = 3*(H/L)² *Q *t

h = ∛(3*(H/L)² *Q *t) = ∛(3*(H/L)² *Q) *∛t = k* ∛t , where k=∛(3*(H/L)² *Q)

h = k* ∛t

then the rate of increase in depth is dh/dt

dh/dt = 1/3*k* t^(-2/3)

since

t = (h/k)³

dh/dt = 1/3*k* t^(-2/3) = 1/3*k* (h/k)³ ^(-2/3)  = 1/3*k* (h/k)^(-2) = 1/3 k³ / h²

=  1/3 (3*(H/L)²*Q) / h²  = (H/L)²*Q /h²

dh/dt= [H/(h*L)]²*Q

replacing values, when h=4m

dh/dt= [H/(h*L)]²*Q  = [5m/(4m*2m)]² * (3m³/min)= 1.718 m/min

8 0
3 years ago
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