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Marizza181 [45]
2 years ago
15

Hey certain recipe for key crossword 16 fluid ounces of water is Natalie needs to be 22 cakes for a bakery how many quarts of wa

ter does she need

Mathematics
1 answer:
seropon [69]2 years ago
4 0

Natalie will need 11 quarts of water to bake 22 cakes for her bakery.

Step-by-step explanation:

Step 1:

Natalie needs 16 fluid ounces to make a cake.

If she wants to bake x number of cakes, she will need 16x ounces of water.

To determine the amount of water needed to bake 22 cakes, we multiply the amount of water needed to bake a single cake by 22.

Step 2:

The water needed to bake 22 cakes in ounces = 22(16) = 352.

So 352 ounces of water in needed and as 32 ounces is equal to 1 quart.

352 ounces equals 11 quarts of water. So 11 quarts of water are needed to bake 22 cakes.

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Sharon, Mark, Beverly and Bruce each work as a doctor, lawyer, teacher or farmer. From the clues below, decide who is the doctor
pychu [463]

Answer:

C. Beverly

Step-by-step explanation:

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3 years ago
Use​ DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form.
slava [35]

Answer:

After solving the power:

\bold{2(cos60^\circ+isin60^\circ)}

Rectangular form:

\bold{1+i\sqrt3}

Step-by-step explanation:

Given the complex number:

2(cos20^\circ+isin20^\circ)^3

To find:

The indicated power by using De Moivre's theorem.

The complex number in rectangular form.

Rectangular form of a complex number is given as a+ib where a and b are real numbers.

Solution:

First of all, let us have a look at the De Moivre's theorem:

(cos\theta+isin\theta )^n=cos(n\theta)+isin(n\theta )

First of all, let us solve:

(cos20^\circ+isin20^\circ)^3

Let us apply the De Moivre's Theorem:

Here, n = 3

(cos20^\circ+isin20^\circ)^3 = cos(3 \times 20)^\circ+isin(3 \times 20)^\circ\\\Rightarrow cos60^\circ+isin60^\circ

Now, the given complex number becomes:

2(cos60^\circ+isin60^\circ)

Let us put the values of cos60^\circ = \frac{1}{2} and sin60^\circ = \frac{\sqrt3}{2}

2(\dfrac{1}{2}+i\dfrac{\sqrt3}2)\\\Rightarrow (2 \times \dfrac{1}{2}+i\dfrac{\sqrt3}2\times 2)\\\Rightarrow \bold{1 +i\sqrt3 }

So, the rectangular form of the given complex number is:

\bold{1+i\sqrt3}

3 0
2 years ago
Nathan's lawn mower uses 23 of a tank of gas to cut three one-acre lawns. How many one-acre lawns can he cut with a full tank of
Angelina_Jolie [31]
60 Gallons To FInish The Whole Entire Yard I think double check to make sure
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2 years ago
Richard has enrolled in a 401(k) savings plan. He intends to deposit $250 each month; his employer does not contribute to his ac
astraxan [27]

Answer:

Richard will have $60,000 in his account in 20 years.

Step-by-step explanation:

(1) Multiply $250 x 12

(2) Multiply the answer of $250 x 12 which is 3000 by 20

(3) Final answer would be $60,000

7 0
3 years ago
Find the volume of the cube
miskamm [114]

Answer:

The volume of cube is 125 cm³.

Step-by-step explanation:

Given that the formule of volume of cube is, V = length×width×height. Cube is a 3D form of square, so the sides of the cube are all the same. You have to substitute 5 into the formula,

Let length be 5 cm,

Let width be 5 cm,

Let height be 5 cm,

Volume = 5×5×5

= 125 cm³

7 0
3 years ago
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