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1 year ago

Simplify the expression and show work 4(3x-2)-7(x+5)

Mathematics

1 answer:

Gennadij [26K]1 year ago

7 0

Answer:

5x - 43

Explanation:

Given the below expression;

$4\left(3x-2\right)-7\left(x+5\right)$

To simplify the above, we'll go ahead and use the numbers outside the parentheses to multiply the ones inside to clear the parentheses as seen below;

$\begin{gathered} 12x-8-7x-35 \\ =12x-7x-8-35 \\ =5x-43 \end{gathered}$

So the answer is 5x - 43

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Please help!

Paraphin [41]

#1) A
#2) E
#3) C
#4) 0.5840
#5) 0.6945
#6) 0.4911
#7) D
#8) G
#9) 0.4375
#10) 0.5203

The formula we use for this is
$v_w=f\lambda$ ,
where $v_w$ is the speed of sound, f is the frequency (or pitch) of the note, and λ is the wavelength.

#1) 0.77955f = 343

Divide both sides by 0.77955:
0.77955f/0.77955 = 343/0.77955
f = 439.997 ≈ 440. This is the pitch for A.

#2) 0.52028f = 343
Divide both sides by 0.52028, and we get f = 659.260. This is the pitch for E.

#3) 0.65552f = 343
Divide both sides by 0.65552, and we get f = 523.25. This is the pitch for C.

#4) 587.33λ = 343
Divide both sides by 587.33 and we get λ = 0.583999 ≈ 0.5840.

#5) 493.88λ = 343
Divide both sides by 493.88, and we get λ = 0.6945.

#6) 698.46λ = 343
Divide both sides by 698.46 and we get λ = 0.49108 ≈ 0.4911.

#7) 0.5840f = 343
Divide both sides by 0.5840 and we get f = 587.3288 ≈ 587.33. This is the pitch for D.

#8) 0.4375f = 343
Divide both sides by 0.4375 and we get f = 784. This is the pitch for G.

#9) 783.99λ = 343
Divide both sides by 783.99 and we get λ = 0.4375.

#10) 659.26λ = 343
Divide both sides by 659.26 and we get λ = 0.52028 ≈ 0.5203.

6 0

3 years ago

The line integral of (2x+9z) ds where the curve is given by the parametric equations x=t, y=t^2, z=t^3 for t between 0 and 1. Pl

Naya [18.7K]

Let r = (t,t^2,t^3)

Then r' = (1, 2t, 3t^2)

General Line integral is:
$\int_a^b f(r) |r'| dt$

The limits are 0 to 1
f(r) = 2x + 9z = 2t +9t^3
|r'| is magnitude of derivative vector $\sqrt{(x')^2 + (y')^2 + (z')^2}$

$\int_0^1 (2t+9t^3) \sqrt{1+4t^2 +9t^4} dt$

Fortunately, this simplifies nicely with a 'u' substitution.

Let u = 1+4t^2 +9t^4

du = 8t + 36t^3 dt

$\int_0^1 \frac{2t+9t^3}{8t+36t^3} \sqrt{u} du \\ \\ \int_0^1 \frac{2t+9t^3}{4(2t+9t^3)} \sqrt{u} du \\ \\ \frac{1}{4} \int_0^1 \sqrt{u} du$

After integrating using power rule, replace 'u' with function for 't' and evaluate limits:
$=\frac{1}{4} |_0^1 (\frac{2}{3}) (1+4t^2 +9t^4)^{3/2} \\ \\ =\frac{1}{6} (14^{3/2} - 1)$

7 0

3 years ago

Which relation is a direct variation that contains the ordered pair (2, 7)?

zimovet [89]

Y=7/2x that's the answer

8 0

3 years ago

Read 2 more answers

Is pi rational?? helppppp

Katyanochek1 [597]

Answer:

Yes

Step-by-step explanation:

Pi is a rational number, because it goes on forever.

5 0

3 years ago

The perimeter of a rectangle is 208 inches. The ratio

bearhunter [10]

Answer:

65 in and 39 in respectively

Step-by-step explanation:

Let r be the common ratio; when we multiply both L and R by this common ratio, we'll get the actual length and actual width of the rectangle, Recalling that the formula for the perimeter of a rectangle is P = 2L + 2R, we get:

2(5r) + 2(3r) = 16r = 208 in

Then r = 208/16 = 13

Thus, the actual length is 5(13 in) and the actual width is 3(13 in.),

or 65 in and 39 in respectively.

As a check, calculate 65 in / 39 in; this comes out to 5:3, as required.

Then

6 0

3 years ago