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4 years ago

PLEASE DON'T GUESS I NEED TO GET THIS RIGHT!!!!!!!!!

1 answer:

3 0

Well if Bob (represented by x) is three years older than Bill (y), the only one correct is x=y+3. Dividing by three wouldn't make sense (choice A), adding three more years onto Bob won't work (choice B), and multiplying Bob's age by three wouldn't work either (choice D). The answer is choice C.
x=y+3

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Olivia's mom is ordering cupcakes for Olivia's birthday. A pack of 6 cupcakes from Baked Fresh costs $18. A pack of 12 cupcakes

sergejj [24]

Answer:

10 cents more

Step-by-step explanation:

37.20/12=3.1

18/6=3

4 0

4 years ago

Read 2 more answers

Prove it. this question is from trigonometry

konstantin123 [22]

Answer:

See below for step-by-step proof.

Step-by-step explanation:

$\textsf{Given expression}:$

$\cos^6 \theta+\sin^6 \theta$

$\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:$

$\implies (\cos^2 \theta)^3+(\sin^2 \theta)^3$

$\textsf{Use the identity}\quad a^3+b^3=(a+b)^3-3ab(a+b):$

$\implies (\cos^2 \theta+\sin^2 \theta)^3-3 \cos^2 \theta\sin^2 \theta (\cos^2 \theta+\sin^2 \theta)$

$\textsf{Use the identity}\quad \sin^2 \theta + \cos^2 \theta=1:$

$\implies (1)^3-3 \cos^2 \theta\sin^2 \theta (1)$

$\implies 1-3 \cos^2 \theta\sin^2 \theta$

$\implies 1-3 (\cos \theta\sin \theta)^2$

$\textsf{Use the identity}\quad \sin 2 \theta=2 \sin \theta \cos \theta \implies \dfrac{1}{2}\sin 2 \theta= \sin \theta \cos \theta:$

$\implies 1-3 \left( \dfrac{1}{2}\sin 2 \theta\right)^2$

$\implies 1-\dfrac{3}{4} \sin^2 2 \theta$

$\textsf{Use the identity}\quad \sin^2 2\theta + \cos^2 2\theta=1 \implies \sin^2 2\theta=1-\cos^2 2\theta$

$\implies 1-\dfrac{3}{4} \left(1-\cos^2 2 \theta\right)$

$\implies 1-\dfrac{3}{4} +\dfrac{3}{4}\cos^2 2 \theta$

$\implies \dfrac{1}{4} +\dfrac{3}{4}\cos^2 2 \theta$

$\textsf{Factor out }\dfrac{1}{4}:$

$\implies \dfrac{1}{4}\left(1+3\cos^2 2 \theta\right)$

$\textsf{Use the identity}\quad \cos (4 \theta)=2 \cos^2 2\theta - 1 \implies \cos^2 2 \theta=\dfrac{1}{2}\cos 4 \theta+\dfrac{1}{2}:$

$\implies \dfrac{1}{4}\left(1+3\left(\dfrac{1}{2}\cos 4 \theta+\dfrac{1}{2}\right)\right)$

$\implies \dfrac{1}{4}\left(1+\dfrac{3}{2}\cos 4 \theta+\dfrac{3}{2}\right)$

$\implies \dfrac{1}{4}\left(\dfrac{5}{2}+\dfrac{3}{2}\cos 4 \theta\right)$

$\implies \dfrac{1}{4} \cdot \dfrac{1}{2}\left(5+3\cos 4 \theta\right)$

$\implies \dfrac{1}{8}\left(5+3\cos 4 \theta\right)$

6 0

2 years ago

Maranda earns $42 in three hours Jabrill earn $78 in six hours which worker earns more per hour

RoseWind [281]

Answer:

jabrill

Step-by-step explanation:

42 dived by 3 = 14

78 dived by 4=13

6 0

3 years ago

For which function defined by a polynomial are the zeros of the polynomial -4 and -6?

V125BC [204]

If the zeros are x=-4 and -6, then the factors are:

(x+4)(x+6) which expanded is:

f(x)=x^2+10x+24

4 0

3 years ago

Eight students are competing for 1st, 2nd, 3rd, and 4th violin chair in the school’s orchestra. How many different ways can all

liubo4ka [24]

There are eight students. Each student is competing for 1st, 2nd, 3rd and 4th violin chair. We will use permutation to solve this problem.

When we have 'n' items and we want to find the number of ways 'k' items can be ordered. Then we use the permutation formula which states:

$^nP_{k}=\frac{n!}{(n-k)!}$

Therefore,

$=^8P_{4}=\frac{8!}{(8-4)!}$

= $\frac{8!}{(4)!}$

= $\frac{8 \times 7\times 6\times 5\times 4!}{4!}$

= ${8 \times 7\times 6\times 5}$

= 1680

Therefore, in 1680 different ways can all four chairs be filled.

3 0

3 years ago

Read 2 more answers