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3 years ago

What is the d value in the following arithmetic sequence? -7, -2, 3, 8, …

Mathematics

2 answers:

klio [65]3 years ago

7 0

Answer:

Step-by-step explanation:

do i have to write it all out :)

gizmo_the_mogwai [7]3 years ago

4 0

Answer:

Step-by-step explanation:

You add five to -7 you get -2 add five to -2 you get 3 and so on.

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Your company manufactures dolls. each doll requires 2 foot of ribbon for bows how many yards of ribbon will you be required to m

AnnyKZ [126]

Answer:

1200 feet of ribbon

Step-by-step explanation:

2 feet per doll

600 dolls

600 dolls x 2 feet per doll

1200 feet of ribbon for 600 dolls

6 0

3 years ago

Read 2 more answers

Save me the headache

maxonik [38]

$(9\sin2x+9\cos2x)^2=81$

Taking the square root of both sides gives two possible cases,

$9\sin2x+9\cos2x=9\implies\sin2x+\cos2x=1$

$9\sin2x+9\cos2x=-9\implies\sin2x+\cos2x=-1$

Recall that

$\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta$

If $\alpha=2x$ and $\beta=\dfrac\pi4$ , we have

$\sin\left(2x+\dfrac\pi4\right)=\dfrac{\sin2x+\cos2x}{\sqrt2}$

so in the equations above, we can write

$\sin2x+\cos2x=\sqrt2\sin\left(2x+\dfrac\pi4\right)=\pm1$

Then in the first case,

$\sqrt2\sin\left(2x+\dfrac\pi4\right)=1\implies\sin\left(2x+\dfrac\pi4\right)=\dfrac1{\sqrt2}$

$\implies2x+\dfrac\pi4=\dfrac\pi4+2n\pi\text{ or }\dfrac{3\pi}4+2n\pi$

(where $n$ is any integer)

$\implies2x=2n\pi\text{ or }\dfrac\pi2+2n\pi$

$\implies x=n\pi\text{ or }\dfrac\pi4+n\pi$

and in the second,

$\sqrt2\sin\left(2x+\dfrac\pi4\right)=-1\implies\sin\left(2x+\dfrac\pi4\right)=-\dfrac1{\sqrt2}$

$\implies2x+\dfrac\pi4=-\dfrac\pi4+2n\pi\text{ or }-\dfrac{3\pi}4+2n\pi$

$\implies2x=-\dfrac\pi2+2n\pi\text{ or }-\pi+2n\pi$

$\implies x=-\dfrac\pi4+n\pi\text{ or }-\dfrac\pi2+n\pi$

Then the solutions that fall in the interval $[0,2\pi)$ are

$x=0,\dfrac\pi4,\dfrac\pi2,\dfrac{3\pi}4,\pi,\dfrac{5\pi}4,\dfrac{3\pi}2,\dfrac{7\pi}4$

5 0

3 years ago

Read 2 more answers

-2(x + 2) = -2x ++ 5x -1

earnstyle [38]

Answer:

-⅗ = x

Step-by-step explanation:

Here is what you get when you distribute the -2 on the left side of the equivalence symbol and combine like-terms on the right side of the equivalence symbol:

-2x - 4 = 3x - 1

Here is the solution:

-2x - 4 = 3x - 1

-3x -3x

----------------

-5x - 4 = -1

4 +4

----------------

-5x = 3

----- -----

-5 -5

x = -⅗

I am joyous to assist you anytime.

8 0

3 years ago

I'll give brainliest<br><br><br> -4n(5n+6)-5(3+3n)

motikmotik

Answer:

-20n^2-39n-15

Step-by-step explanation:

8 0

2 years ago

Mario walked 7422 steps one day then he walks 5570 stops the next day. which calculation can be used to find the total number of

vovikov84 [41]

Answer:

A caucluation he can use is adding, just add 7422 and 5570 and you should get your answer.

Step-by-step explanation:

4 0

3 years ago