MATHEMATICS HIGH SCHOOL

Which expression has a value of 1/6

Answers

Answer 1

Answer:

Answer:

There are several expressions that have a value of 1/6. Here are a few examples:

- 2/12

- 3/18

- 4/24

- 5/30

- 10/60

These expressions all equal 1/6 when simplified.

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Victoria has some money from her birthday and the amount is modeled by the function h(x) = 200. She read about a bank that has savings accounts that accrue interest according to the function s(x) = (1.05)x − 1. Victoria is thinking about putting her money into the savings account to gain interest. Using complete sentences, explain to Victoria how she can combine her functions to create a new function, and explain what this new function means.
Can you give examples of situations that might be modeled with trigonometric functions?

Subtracting 8.263 from 13.48, you obtain A. 5.783.
B. 21.743.
C. 5.217.
D. 6.815.

Answers

8.263 - 13.48 = 5.217
The answer is C.

A bathtub is draining at a constant rate. After 2 minutes, it holds 30 gallons of water. Three minutes later, it holds 12 gallons of water. Write an equation that represents the number yy of gallons of water in the tub after xx minutes. $y=$y=

Answers

original-amount drained after 2 minutes=30
original- amount drained after 5 minutes=12

5-2=3
30-12=18
therefor
3 minutes=18 gallons drained
divide 3
1minute=s6 gallons draine

find original
30+2mins=origninal
30+2*6=original
30+12=original=42

so
y=42-6x

The surface area of a cube is 1849 mm2. Which statements are true about the same cube measured in square centimeters?

Choose all answers that are correct.

A.The number representing the surface area would decrease.

B.The number representing the surface area would increase.

C.The actual surface area would decrease.

D.The actual surface area would increase.

E.The actual surface area would stay the same.

Answers

The correct statements are from letters A and E. The same cube when measured in square centimeters will still be the same cube. Only the number which represents the surface area will change and will decrease because the units are now in centimeters. The surface area would be 184.9 cm^2. The actual surface area of the cube will still be the same.

A rain gutter is to be constructed of aluminum sheets 12 inches wide. After marking off a length of 4 inches from each edge, this length is bent up at an angle θ. The area A of the opening may be expressed as the function: A(θ) = 16 sin θ ⋅ (cos θ + 1). If θ = 90°, what is the area of the opening?

Answers

We are already given with the function to solve for the area:
A(θ) = 16 sin θ ⋅ (cos θ + 1)

We simply have to substitute the value of the angle into the function. So,
If θ = 90°,
A(90°) = 16 sin (90°) ( cos (90°) + 1 )

Using the calculator or the definition of trigonometric functions at angle of 90°, we get the value of the area:
A(90°) = 16 square inches

we know that

The area A of the opening may be expressed as the function:

$A(\alpha) = 16 sin \alpha* (cos \alpha + 1)$

For $\alpha =90$ °

We simply have to substitute the value of the angle into the function

$A(90) = 16*sin 90* (cos 90 + 1)$

$A(90) = 16*(1)* (0 + 1)$

$A(90) = 16 in^(2)$

therefore

the answer is

the area of the opening is $16 in^(2)$

Compute the amount of interest earned in the following simple interest problem.A deposit of $1,600 at 6% for 180 days:

Answers

with 6% is 1,696. for 180 days, $305,280

I=PRT
I=interest
P=principal
R=rate in decimal
T=time in yaers

365 days per year
t=180/365

given
P=1600
R=6%=0.06
T=180/365

I=1600*0.06*180/365
I=96*180/365
I=47.342

rounds to
Interst=$47.34

Ashley needs to ride her bike to her friends house 96 miles away. She is riding at an average rate of 15 miles per hour. She has 6 hours to get there. Will she make it?

Answers

The relationship between Speed, Distance and Time can be expressed as:

$\rm Distance = Speed * Time$

The total distance to be covered is 96 kilometres. Ashley couldn't cover it with existing speed and in available time.

Given:

$\rm{Average\; speed \;of\; Ashley} =(15\;mile)/(hour)$

$\rm{Time\; available} = 6\;hours$

Now, calculate the maximum distance that is possible to cover.

$\begin{aligned}\rm Distance &= \rm{Speed * Time}\n&=15 * 6\n&=90\end{aligned}$

The total distance to be covered by her is 96 kilometres. Ashley could cover only 90 kilometres.

Learn more about the topic here:

brainly.com/question/12759408

Average speed of Ashley = 15 miles per hour

Time she has = 6 hours

Distance can be covered = speed × time = 15×6 = 90 miles

But the distance of her friend's house is 96 miles.

So she will not be able to make it.

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