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Mariana [72]
3 years ago
9

Write the product using exponents. 2⋅2⋅2⋅n⋅n Using exponents, the product is ?

Mathematics
1 answer:
Blababa [14]3 years ago
3 0
The answer is 8n^2

2x2 is 4 x 2 is 8 two n variables so multiple it by 2 and you get your answer
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Tony has 60$ to buy souvenirs for his grandkids at the baseball game. pennants cost $7.50 and hats cost $11.99. this relationshi
bazaltina [42]

Answer:

Option a. is correct.

Step-by-step explanation:

Given: Total amount with Tony is 60$. Pennants cost $7.50 and hats cost $11.99.

To find: inequality that represents number of pennants bought by Tony if three of tony's grand kids want hats

Solution:

p denotes number of pennants and h denotes number of hats.

As three of tony's grand kids want hats, h=3

Total cost of 3 hats = 3(11.99)=\$35.97

Cost of one pennant = $7.50

According to question,

35.97+7.50p\leq 60\\7.50p\leq 60-35.97\\7.50p\leq 24.03\\p\leq \frac{24.03}{7.50}=3.204

Also, being number of pennants, 0\leq p

So, inequality that represents number of pennants Tony can buy is 0\leq p\leq 3.204

Option a. is correct.

8 0
4 years ago
Who is the better rapper Drake or Kendrick
Nina [5.8K]

Answer:

Drake

Step-by-step explanation:

8 0
3 years ago
Given: 4ABC, and BP is parallel to AC.<br> Prove: m21 + m22 + m23 = 180
Charra [1.4K]

Mathematical proofs are used to prove or disprove mathematical statements.

<h3>Mathematical theorems </h3>

The theorems to use are:

  • The sum of angles on a straight line is 180 degrees
  • Alternate angles are congruent

<h3>The proof</h3>

From the question, we have: \triangle ABC

This means that, ABC is a triangle

Also, we have:

BP || AC

This means that lines BP and AC are parallel

So, the following angles are congruent by alternate angle theorem

  • \angle 5 \cong \angle 3.
  • \angle 4 \cong \angle 2

The angles on a straight line add up to 180 degrees.

So, we have:

\angle 4 + \angle 1 + \angle 5 = 180

By substitution, the above equation becomes

\angle 2 + \angle 1 + \angle 3 = 180

Rewrite the equation as:

\angle 1 + \angle 2 + \angle 3 = 180

Hence, the statement that \angle 1 + \angle 2 + \angle 3 = 180 has been proved

Read more about mathematical proofs at:

brainly.com/question/25296908

4 0
3 years ago
Determine whether the table of values below represents a linear function. If it represents a linear function, write the function
Rzqust [24]

Answer:

The equation of a linear function is:

  • y = 2x+4

Step-by-step explanation:

Given the table

x                    y

-10               -16

-3                 -2

1                    6

2                   8

Determining the slope between the points (-10, -16), (-3, -2)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-10,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-2\right)

m=\frac{-2-\left(-16\right)}{-3-\left(-10\right)}

m=2

Determining the slope between the points (-3, -2), (1, 6)

m=\frac{6-\left(-2\right)}{1-\left(-3\right)}

m=2

Determining the slope between the points (1, 6),(2, 8)

m=\frac{8-6}{2-1}

m = 2

As the slope between the points is the same. Thus, the table represents the linear function.

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

substituting the values m = 2 and any point let say (1, 6)

y - 6 = 2(x-1)

y-6 = 2x-2

y = 2x-2+6

y = 2x+4

Therefore, the equation of a linear function is:

  • y = 2x+4
5 0
3 years ago
Common ratio for 10, -30, 90, -270
lakkis [162]

Answer:

1 : -3

I hope this is right!


6 0
4 years ago
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