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mestny [16]
2 years ago
12

The athlete drank 80% of his water bottle in the first 15 minutes of his workout. If the bottle held 16.9 ounces of water, how m

any ounces was that?
Mathematics
1 answer:
Tresset [83]2 years ago
6 0

Answer:

13.52 ounces of water

Step-by-step explanation:

80% equals 8/10

So we multiply 16.9x8/10 getting 13.52 ounces

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A manufacturing plant earned \$80$80dollar sign, 80 per man-hour of labor when it opened. Each year, the plant earns an addition
vagabundo [1.1K]

Answer:

A(t)=80(1.05)^t

Step-by-step explanation:

The manufacturing plant earned $80 per man-hour of labor when it opened

The plant earns an additional 5% for every additional man-hour t.

This can be modeled using the function:

A(t)=P(1+r)^t

where Initial Amount Earned, P=80

Rate of Increase, r=5%=0.05

Therefore, the function that models the amount earned at any time t is:

A(t)=80(1+0.05)^t\\A(t)=80(1.05)^t

3 0
3 years ago
Select all the correct answers. Which statements are true about function g? NO LINKS!!!​
Anna35 [415]

Answer:

  A, B, E

Step-by-step explanation:

The attachment shows a graph of the function. It tends to infinity for x going to infinity in either direction. (A, B are true)

The right-side piece is cubic, not quadratic.

The U-shape tells you the function is decreasing on the left side.

The two function definitions have the same value at x=2, so the function has no discontinuities. It is continuous. (E is true)

3 0
2 years ago
Geometry help! Please prove the following is a square with full explanation, I'm really lost.
Hoochie [10]

We have to show that this is a square, meaning all the sides are perpendicular and the same distance.  

A(3,4), B(2,-2), C(-4,-1), D(-3,5)

For each side we calculate the squared distance and the slope.  We don't have to bother to take the square root.  We'll subtract the points first because that difference, called the direction vector, goes into both the calculation of the slope and of the distance.

AB=B-A=(2 - 3, -2 - 4) = (-1, -6).   slope=-6/-1=6  AB²=(-1)²+(-6)²=37

BC=C-B=(-6, 1).  slope=1/-6=-1/6.   BC²=(-6)²+1²

CD=D-C=(1, 6).   slope=6/1=6    CD²=1²+6²=37

DA=A-D=(6,-1)   slope=-1/6     DA²=37

We see the negative reciprocal slopes, alternating between 6 and -1/6, indicating perpendicular sides.  We see they all have squared distance 37.  Equal perpendicular sides proves its a square.

If we do these problems enough we learn:  There's no point taking the square root.  In fact, there's really no point computing the slopes and the squared distances; we can see it's a square from the pattern of the direction vectors of the sides:  (-1, -6) (-6, 1) (1, 6) (6,-1)

5 0
3 years ago
Using the guess and check technique, find two numbers that satisfy both conditions.
maksim [4K]

Answer:

B.

Step-by-step explanation:

21 X 2 = 42

42-7 = 35

35 + 21 = 56

7 0
2 years ago
Read 2 more answers
There are 10 students in class and the number of siblings in their families are given by {1,1,1,1,2,3,3,4,4,4}. Consider the exp
Svetllana [295]

Answer:

a. Check the attached image

b. The Pr(Y > 2) = ½

c. The mean is 2.4

d. The standard deviation is: 2.72

e. The exact value is 1 because it is certain from the given data that any probability will fall within that range.

Step-by-step explanation:

a. An image showing the step by step solution is attached.

b. P(Y > 2) = P(3) + P(4)

= 2/10 + 3/10 = 5/10 = ½

c. The mean is 2.4

d. The standard deviation is: 2.72

e. Check the attached image for the steps.

7 0
3 years ago
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