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viva [34]
3 years ago
5

Plz need help on 1. 2. and 3 plz help and dont answer if you dont know it plz

Mathematics
1 answer:
sesenic [268]3 years ago
5 0

Answer:

1) 32m^{6}n^{14}

2) 3j^{4}k^{8}

3) 135a^{11}b^{16}

Step-by-step explanation:

to know: when multiplying terms with same base and exponents, multiply the bases and add the exponents

to know: when dividing terms with same base and exponents, divide the bases and subtract the exponents

to know: whenever exponents are contained within a set of parentheses and separated by another set of parentheses, multiply the exponents

1) (4^{4}· m^{12} · n^{20}) ÷ 2³m^{6}n^{6} = 3j^{4}k^{8}

2) (15j^{5}k^{2}· 25j²k^{9}) ÷ 5³j³k³ = (375j^{7}k^{11}) ÷ 125j³k³ = 3j^{4}k^{8}

3) (5 · 3³) a^{11}b^{16} = 135a^{11}b^{16}

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Answer:

B, 20mph

Step-by-step explanation:

540 miles in 27 hours is 540/27 = 20 miles in 1 hour. This is 20 mph

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3 years ago
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The equation for the rollercoaster before is f(x)=-0.2x^2-2x
katovenus [111]

??? The answer is not able to be found for the fact that there are 3 numbers all coming from x.

7 0
3 years ago
A quadrilateral has vertices at A(-5,5), B(1,8), C(4,2), and D(-2,-2). Use slope to determine if the quadrilateral is a rectangl
AysviL [449]

Answer:

The quadrilateral is not a rectangle

Step-by-step explanation:

we know that

If a quadrilateral ABCD is a rectangle

then

Opposite sides are congruent and parallel and adjacent sides are perpendicular

Remember that

If two lines are parallel, then their slopes are the same

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

A(-5,5), B(1,8), C(4,2), and D(-2,-2)

Plot the figure to better understand the problem

see the attached figure

Find the slope of the four sides and then compare

step 1

Find slope AB

A(-5,5), B(1,8)

substitute in the formula

m=\frac{8-5}{1+5}

m=\frac{3}{6}

m_A_B=\frac{1}{2}

step 2

Find slope BC

B(1,8), C(4,2)

substitute in the formula

m=\frac{2-8}{4-1}

m=\frac{-6}{3}

m_B_C=-2

step 3

Find slope CD

C(4,2), and D(-2,-2)

substitute in the formula

m=\frac{-2-2}{-2-4}

m=\frac{-4}{-6}

m_C_D=\frac{2}{3}

step 4

Find slope AD

A(-5,5), D(-2,-2)

substitute in the formula

m=\frac{-2-5}{-2+5}

m=\frac{-7}{3}

m_A_D=-\frac{7}{3}

step 5

Verify if the opposites are parallel

Remember that

If two lines are parallel, then their slopes are the same

The opposite sides are

AB and CD

BC and AD

we have

m_A_B=\frac{1}{2}

m_C_D=\frac{2}{3}

so

m_A_B \neq m_C_D

It is not necessary to continue verifying, because two of the opposite sides are not parallel

therefore

The quadrilateral is not a rectangle

4 0
3 years ago
P-value for p = 0.23 is closest to: 0.006 or 0.40?
inn [45]

Answer:

0.40 I'm pretty sure tbh

4 0
3 years ago
PLEASE HELP!!!!!
Vesna [10]

Answer:

$289,169.84 (to the nearest cent)

Step-by-step explanation:

Compound interest is based on the principal amount and the interest that accumulates on it in every period.

Compound Interest = P (1 + r)^n

where P = principal amount, r = annual interest rate (as a decimal), n = term, in years​

So for this problem:

P = 185000

r = 1.4 ÷ 100 = 0.015

n = 30

Therefore,  

Compound Interest = P (1 + r)^n

                                = 185000 x (1 + 0.015)^30

                                = 185000 x (1.015)^30

                                = 289169.8408...

                                = $289,169.84 (to the nearest cent)

5 0
3 years ago
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