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2 years ago

What is the next step

Mathematics

2 answers:

iragen [17]2 years ago

6 0

Answer:

measure of angle ABC is 6 degree.

Step-by-step explanation:

After you found x, you'll plug it in the equation of the angle it's asking for.

Measure of angle ABD, and you know measure of angle ABC = 4x-1.

4(1)-1 = 4-1 = 3

Measure of angle CBD = 2x+1.

2(1) +1 = 3

Measure of angle ABC is ABD + CBD

3 + 3 = 6

djverab [1.8K]2 years ago

3 0

Answer:

6°

Step-by-step explanation:

We know that is 4x - 1 + 2x + 1

So it equals

or 6 ( 1) = 6°

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-Chetan K

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The haunted house has 30 zombies. If the haunted hours have a total of 150 employees, what percent are zombies?

777dan777 [17]

The answer would be 5 percent!

6 0

1 year ago

Kat owns 15% more figurines than she did last year. She purchased F figurines this year. Which of the following expressions coul

Stella [2.4K]

Answer: F / 0.15 = 100F / 15 = 20F / 3 ≈ 6.67F.

Explanation:

1) The three expresssions, F / 0.15; 15 F / 100; 3F / 20; are equivalent.

2) The number of figurines Kat owned last year may be expressed in terms of the number the of figurines purchased, F, this year, and the 15%, following this procedure:

Call n the amount of figurines owned last year.

F is the number of figurines purchased: F = 15%n = 0,15n

Hence, you just need to clear F from the expression F = 0.15n

Divide both sides by 0.15:

F / 0.15 = n or n = F / 0.15 (reflexive property)

To prove the equialavence of the other expresssions you just have to use the properties of multiplication or division:

(F / 0.15) × (100 / 100) = 100F / 15

100F / 15 = (100/5)F / (15/5) = 20F / 3 ≈ 6.67F

4 0

3 years ago

Read 2 more answers

Addison worked 11 more hours this week than last week. In total, she worked 65 hours this week and last week. Using the equation

Anestetic [448]

Answer:

27 hours

Step-by-step explanation:

Just do the reverse. 65-11 = 54. 54 / 2 = 27.

5 0

3 years ago

Find a compact form for generating functions of the sequence 1, 8,27,... , k^3

pantera1 [17]

This sequence has generating function

$F(x)=\displaystyle\sum_{k\ge0}k^3x^k$

(if we include $k=0$ for a moment)

Recall that for $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{k\ge0}x^k$

Take the derivative to get

$\displaystyle\frac1{(1-x)^2}=\sum_{k\ge0}kx^{k-1}=\frac1x\sum_{k\ge0}kx^k$

$\implies\dfrac x{(1-x)^2}=\displaystyle\sum_{k\ge0}kx^k$

Take the derivative again:

$\displaystyle\frac{(1-x)^2+2x(1-x)}{(1-x)^4}=\sum_{k\ge0}k^2x^{k-1}=\frac1x\sum_{k\ge0}k^2x^k$

$\implies\displaystyle\frac{x+x^2}{(1-x)^3}=\sum_{k\ge0}k^2x^k$

Take the derivative one more time:

$\displaystyle\frac{(1+2x)(1-x)^3+3(x+x^2)(1-x)^2}{(1-x)^6}=\sum_{k\ge0}k^3x^{k-1}=\frac1x\sum_{k\ge0}k^3x^k$

$\implies\displaystyle\frac{x+4x^3+x^3}{(1-x)^4}=\sum_{k\ge0}k^3x^k$

so we have

$\boxed{F(x)=\dfrac{x+4x^3+x^3}{(1-x)^4}}$

5 0

3 years ago

Make t as the subject!! HELP MEE

Umnica [9.8K]

Answer:

t = (p^2/mn) - 1/n

Step-by-step explanation:

Here, we want to make t the subject of the formula

we start by equating both sides so as to remove the root

we have this as;

m(t + n)/t = p^2

m(t + n) = tp^2

mt + mn = tp^2

mn = tp^2 - mt

mn = t(p^2-m)

t = (p^2 - m)/mn

t = p^2/mn - 1/n

6 0

2 years ago