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3 years ago

Which of the following is most likely the next step in the series?

Mathematics

2 answers:

user100 [1]3 years ago

7 0

Answer: The correct option is (A) E20e.

Step-by-step explanation: We are to find the most likely next step in the following series:

A4a, b8B, C12c, d16D, . . ..

The first letters are A, b, C, d, . . .. So, the next letter in this series will be E.

The second numbers are 4, 8, 12, 16, . . ..

That is, 4 × 1, 4 × 2, 4 × 3, 4 × 4, . . . . So, the next number in this series will be 4 × 5 = 20.

The third terms are a, B, c, D, . . .. So, the next letter in this series will be e.

Thus, the next step in the given series is

E20e.

Option (A) is CORRECT.

Delicious77 [7]3 years ago

6 0

it is E20e not e20E

so the answer is A

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Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the sq

azamat

Answer:

The perimeter of rectangle is $18\ cm$

Step-by-step explanation:

Let

x-----> the length of the rectangle

y----> the width of the rectangle

we know that

$x=y+5$ ----> equation A

$120=xy+2x^{2}+2y^{2}$ ---> equation B (area of the constructed figure)

substitute the equation A in equation B

$120=(y+5)y+2(y+5)^{2}+2y^{2}$

$120=(y+5)y+2(y+5)^{2}+2y^{2}\\ 120=y^{2}+5y+2(y^{2}+10y+25)+2y^{2}\\ 120=y^{2}+5y+2y^{2}+20y+50+2y^{2}\\120=5y^{2}+25y+50\\5y^{2}+25y-70=0$

using a graphing calculator -----> solve the quadratic equation

The solution is

$y=2\ cm$

Find the value of x

$x=y+5 ----> x=2+5=7\ cm$

Find the perimeter of rectangle

$P=2(x+y)=2(7+2)=18\ cm$

8 0

3 years ago

A catalog store has 6% of its orders returned for a refund. the owner predicts that a new candle will have 812 returns put of th

saw5 [17]

16824 x .06 = 1009.44

.06 is 6% in decimal form.

So no, they would have more if we are assuming the 6% is true.

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3 years ago

Which of the following tells how to change a measurement from meters to millimeters.

velikii [3]

Answer:

Divide by 1,000

Step-by-step explanation:

To get down from each level in the metric system, you need to divide by ten, Millimeters are 3 steps down from meters so you need to divide by 1000.

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3 years ago

Given the function f (x) = <br> 1/2x^2+ 2x – 5, what is the value of f (10)?

kirill115 [55]

Answer:

answer is 40 :)

Step-by-step explanation:

hope this helps :) have a great day!

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3 years ago

Two parallel lines, a and b, are cut by transversal p. What is the measure of triangle x

rewona [7]

Answer:

b will be the right answer

I am sure

4 0

3 years ago

Read 2 more answers