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adoni [48]
2 years ago
10

Find the quotient of 3,976 ÷ 28 = ________. Use the partial quotients strategy to help you.

Mathematics
1 answer:
scZoUnD [109]2 years ago
8 0

Answer:

142

Step-by-step explanation:

Hope this helps

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Maria bought a blouse on sale for 30% off. The sale price was $27.76. What was the original
GuDViN [60]

Answer:

$19.43

Step-by-step explanation:

p x 0.30= 8.328

p - 8.328= 19.432

Answer: $19.43

7 0
3 years ago
The maximum value of 12 sin 0-9 sin²0 is: -​
jeka57 [31]

Answer:

4

Step-by-step explanation:

The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)

If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0

However, I will assume you meant the angle to be \theta rather than 0 which makes sense and proceed accordingly

We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0

The original function is

f(\theta) = 12sin(\theta) - 9 sin^2(\theta)

Taking the first derivative of this with respect to \theta and setting it equal to 0 lets us solve for the maximum (or minimum) value

The first derivative of f(\theta) w.r.t \theta is

                        12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right)

And setting this = 0 gives

12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right) = 0

Eliminating cos(\theta) on both sides and solving for sin(\theta) gives us

sin(\theta) = \frac{12}{18} = \frac{2}{3}

Plugging this value of sin(\theta) into the original equation gives us

12(\frac{2}{3}) - 9(\frac{4}{9} ) = 8 - 4 = 4

This is the maximum value that the function can acquire. The attached graph shows this as correct

3 0
1 year ago
Aless and Louis are going to put a rectangular pool in their backyard. The cost of installation is $6,000. If the dimensions of
lana [24]

Answer:

cost of the pool per cubic meters = $5

Step-by-step explanation:

The rectangular pool has a dimension of 30 m by 20 m by 2 m. To know the cost of the pool per cubic meter we have to calculate the volume of the pool . Then divide the total cost of the pool by it volume.

volume of the rectangular pool = length × height × width

volume of the rectangular pool = 30 × 20 × 2

volume of the rectangular pool = 1200  m²

The cost of installation is $6000 . The volume of the pool is 1200 cubic meters.

cost per cubic meters = total cost of installation/volume

cost per cubic meters = 6000/1200

cost of the pool per cubic meters = $5

7 0
3 years ago
Zachary used the calculations shown to find how much he would spend on 16 ounces of pistachios.
maw [93]

Answer:

He made a math error

Step-by-step explanation:

6 ounces of pistachios cost $7.50

take 7.50 / 6=1.25 per ounce  ( not .80 per ounce)

Then 1.26 * 16 = 20.00 for 16 ounces

8 0
3 years ago
Diagram the statement three fourths of 40 little engines could climb the hill
Art [367]
That dont een make no sense tho
5 0
3 years ago
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