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3 years ago

The expression (x^22) (x^7)^3 is equivalent to x^p. What is the value of p?

Mathematics

1 answer:

SpyIntel [72]3 years ago

5 0

Answer:

x^87

Step-by-step explanation:

Multiplying x^22 and x^7 results in x^29.

Then we have:

(x^29)^3 = x^87

Recall that (a^b)^c = a^(bc) and that a^b*a^c = a^(b + c)

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3 years ago

Emma is making a recipe that needs 2 1/2 cups of sugar. Each

IrinaVladis [17]

The given partial fraction divided by the fraction of sugar in a scoop is

equal to multiplying the partial fraction by the reciprocal of the fraction.

The number of scoops of sugar needed is <u>10 scoops</u>.

Reasons:

The amount of sugar the recipe Emma is making needs = 2 1/2 cups

Amount of sugar in each scoop of sugar = 1/4 cups

Required:

The amount of scoops Emma needs to add for the entire recipe

Solution:

The amount of sugar needed = 2 1/2 cups

Amount of sugar per scoop = 1/4 cups/scoop

Therefore;

$\displaystyle Number \ of \ scoops = \mathbf{\frac{Cups \ of \ sugar \ needed}{Cups \ of \ of \ sugar \ per \ scoop}}$

Which gives;

$\displaystyle Number \ of \ scoops \ needed = \mathbf{\frac{2 \frac{1}{2} \ cups \ of \ sugar }{\frac{1}{4} \ cups \ of \ sugar \ per \ scoop}}$

$\displaystyle 2 \frac{1}{2} = \frac{5}{2}$

$\displaystyle \frac{ \frac{5}{2}}{\frac{1}{4} } = \mathbf{ \frac{5}{2} \times \frac{4}{1} = \frac{20}{2 }} = 10$

Therefore;

$\displaystyle Number \ of \ scoops \ needed = \mathbf{\frac{2 \frac{1}{2} \ cups \ of \ sugar }{\frac{1}{4} \ cups \ of \ sugar \ per \ scoop}} = 10 \, scoops$

The number of scoops she needs for the entire recipe is <u>10 scoops</u>

Learn more about division by fractions here:

brainly.com/question/20591763

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3 years ago

What is the fourth term of a number pattern that begins with 250 and subtracts 13? A. 211 B. 224 C. 198 D. 302

Alina [70]

Create the equation:

250-13x

Plug in 4 for the equation and solve:

250-13(4)

250-52

198

The answer is C. 198

3 0

4 years ago

Read 2 more answers