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2 years ago

Which customary unit would be best to measure the capacity of water in a dolphin tank at an aquarium?

2 answers:

6 0

Since a dolphin tank would be large, the capacity of water in the tank would be measured in gallons. When thinking about liquid volume, remember that a fluid ounce is about the size of a dose of cough syrup, a pint is about the size of a large drink, and think of a gallon as a 1 gallon plastic milk jug.

rewona [7]2 years ago

5 0

The best unit to measure the capacity of water, would be gallons

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10 people who build at the same rate can frame a house in 6 days. What fractional part of a house can 4 people frame a house in

Alina [70]

10 people who build at the same rate can frame a house in 6 days. That means it will take one person $10\times6=60$ days to finish the house.

Which means that it will take 4 people $\frac{60}{4}=15$ days to finish the house.

So, the fractional part of the house 4 people can frame in 3 days will be $\frac{3}{15}=\frac{1}{5}$

Thus, Option D is the correct answer.

8 0

3 years ago

What is wrong with this solution?

Naily [24]

Answer:

They changed 5m into a positive when it should've stayed as a negative until you isolate the variable m at the end, making m actually equal -7.

Step-by-step explanation:

-5m - 16 = 19

-5m = 19 + 16

-5m = 35

m = 35/-5

m = -7

7 0

3 years ago

Read 2 more answers

Calculate the average rate of change of f(x) = x2 - 1 x - 4 for 2 ≤ x ≤ 6.

hoa [83]

Answer:

Hence, the average rate of change is:

$\dfrac{97}{12}$

Step-by-step explanation:

We are asked to calculate the average value of the function:

$f(x)=x^2-\dfrac{1}{x}-4$ in 2 ≤ x ≤ 6

The average rate of change of the function f(x) in the interval 2 ≤ x ≤ 6 is given as:

$\dfrac{f(6)-f(2)}{6-2}\\\\=\dfrac{f(6)-f(2)}{4}$

Now,

$f(6)=36-\dfrac{1}{6}-4\\\\f(6)=32-\dfrac{1}{6}\\\\f(6)=\dfrac{191}{6}$

$f(2)=4-\dfrac{1}{2}-4\\\\\\f(2)=-\dfrac{1}{2}$

Hence, the average rate of change is:

$\dfrac{\dfrac{191}{6}-\dfrac{-1}{2}}{4}\\\\=\dfrac{194}{6\times 4}\\\\=\dfrac{97}{12}$

Hence, the average rate of change is:

$\dfrac{97}{12}$

8 0

3 years ago

Read 2 more answers

You hit a golf ball 90 yards. It travels three-fourths of the distance to the hole. Write an equation you can use to find the di

artcher [175]

Answer:

90=3/4 + d

Explanation :

Where:

90 represents the yard

3/4 represents distance travelled by ball

d represents distance from tee to the hole.

Hence:

90=3/4 + d

7 0

3 years ago

Read 2 more answers

Does anyone know the answer for the question below.

8090 [49]

Answer: option C

Step-by-step explanation:

The diagram of the triangle is shown in the attached photo. The triangle is a right angle triangle ABC

Assuming the given angle is #,

Recalling the trigonometric ratio,

tan # = opposite / adjacent

If tan # = 4, it means

opposite / adjacent = 4/1

Therefore, opposite = 4 and adjacent = 1

Applying Pythagoras theorem,

Hypotenuse^2 = opposite ^2 + adjacent ^2

Hypotenuse = AC

Opposite = 4

Adjacent = 1

AC^2 = 4^2 + 1^2 = 17

AC = ± √17

To determine cos #, we would apply another trigonometric ratio,

Cos# = adjacent /hypotenuse

Cos# = 1/±√17

Cos # =-1 /√17 or 1/√17

8 0

3 years ago