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2 years ago

8

Joaquin wants to make his famous chocolate chip cookies to bring to his friend's birthday party. The original recipe serves 8 pe

ople and requires one half of a cup of butter, but he needs it to serve 28 people. How many cups of butter will he need?

1 answer:

Alexandra [31]2 years ago

6 0

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Two negative integers are 5 units apart on the number line, and their product is 126. What is the sum of the two integers?

ValentinkaMS [17]

The two negative integers are -9 and -14. If you add them it equals -23

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3 years ago

In math, how do you solve 2h<200?

Svetlanka [38]

Answer:

h < 100

Step-by-step explanation:

isolate h by dividing both sides by 2

h < 100

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3 years ago

The radius of the base of a cylinder is decreasing at a rate of 9 millimeters per hour and the height of the cylinder is increas

ivann1987 [24]

Answer:

<em>Answer: d) -310pi</em>

Step-by-step explanation:

<u>Instantaneous Rate of Change</u>

Is the change in the rate of change of a function at a particular instant. It's the same as the derivative value at a specific point.

The surface area of a cylinder of radius r and height h is:

$A=2\pi r^2+2\pi r h$

We need to calculate the rate of change of the surface area of the cylinder at a specific moment where:

The radius is r=8 mm

The height is h=3 mm

The radius changes at r'=-9 mm/hr

The height changes at h'=+2 mm/hr

Find the derivative of A with respect to time:

$A'=2\pi (r^2)'+2\pi (r h)'$

$A'=2\pi 2rr'+2\pi (r' h+rh')$

Substituting the values:

$A'=2\pi 2(8)(-9)+2\pi ((-9) (3)+(8)(2))$

Calculating:

$A'=-288\pi +2\pi (-27+16)$

$A'=-288\pi +2\pi (-11)$

$A'=-288\pi -22\pi$

$A'=-310\pi$

Answer: d) -310pi

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3 years ago

In which type of investment do you lend your money to a government agency or a corporation for a fixed period of time and earn i

sasho [114]

Answer: a. Bonds

Step-by-step explanation:

Bond is a kind of money investment issued by private corporations or government banks.

Buying a bond is like issuing a loan to the issuer. The issuer will pay back the face value of the issued loan along with interest money. It is issued for a fixed period of time.

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3 years ago

What is 14/49 in its simplest form???

Virty [35]

Answer:2/7

Step-by-step explanation: 14 divided by 2 equals 7 and 49/7 equals 7 which means 7 is your GCF because seven going into both numbers

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3 years ago

Read 2 more answers