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marishachu [46]
2 years ago
6

−4(m+3)=24 What does m=

Mathematics
1 answer:
Ket [755]2 years ago
5 0

Answer: m= -9

Step-by-step explanation: First use distributive property, -4(m) is -4m and -4(3) is -12. Then you have -4m -12 =24. Then use 12 and add it to the other side of the equation, cause of the subtraction sign, 12+24=36. Then you have -4m=36. Then divide the 4 to get the m by its self. 36 divided by -4 is -9. Your answer is m=-9

Hope this helps :)

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Distribute -(-4v+6.3w-9.8)
Firdavs [7]

Answer:

4v-6.3w+9.8

Step-by-step explanation:

If you distribute the negative sign (same as distributing -1), then you get -(-4v) + (-6.3w) - (-(9.8))

Basically it's switching the signs

Hope that helped :)

3 0
2 years ago
1.) Find the length of the arc of the graph x^4 = y^6 from x = 1 to x = 8.
xxTIMURxx [149]

First, rewrite the equation so that <em>y</em> is a function of <em>x</em> :

x^4 = y^6 \implies \left(x^4\right)^{1/6} = \left(y^6\right)^{1/6} \implies x^{4/6} = y^{6/6} \implies y = x^{2/3}

(If you were to plot the actual curve, you would have both y=x^{2/3} and y=-x^{2/3}, but one curve is a reflection of the other, so the arc length for 1 ≤ <em>x</em> ≤ 8 would be the same on both curves. It doesn't matter which "half-curve" you choose to work with.)

The arc length is then given by the definite integral,

\displaystyle \int_1^8 \sqrt{1 + \left(\frac{\mathrm dy}{\mathrm dx}\right)^2}\,\mathrm dx

We have

y = x^{2/3} \implies \dfrac{\mathrm dy}{\mathrm dx} = \dfrac23x^{-1/3} \implies \left(\dfrac{\mathrm dy}{\mathrm dx}\right)^2 = \dfrac49x^{-2/3}

Then in the integral,

\displaystyle \int_1^8 \sqrt{1 + \frac49x^{-2/3}}\,\mathrm dx = \int_1^8 \sqrt{\frac49x^{-2/3}}\sqrt{\frac94x^{2/3}+1}\,\mathrm dx = \int_1^8 \frac23x^{-1/3} \sqrt{\frac94x^{2/3}+1}\,\mathrm dx

Substitute

u = \dfrac94x^{2/3}+1 \text{ and } \mathrm du = \dfrac{18}{12}x^{-1/3}\,\mathrm dx = \dfrac32x^{-1/3}\,\mathrm dx

This transforms the integral to

\displaystyle \frac49 \int_{13/4}^{10} \sqrt{u}\,\mathrm du

and computing it is trivial:

\displaystyle \frac49 \int_{13/4}^{10} u^{1/2} \,\mathrm du = \frac49\cdot\frac23 u^{3/2}\bigg|_{13/4}^{10} = \frac8{27} \left(10^{3/2} - \left(\frac{13}4\right)^{3/2}\right)

We can simplify this further to

\displaystyle \frac8{27} \left(10\sqrt{10} - \frac{13\sqrt{13}}8\right) = \boxed{\frac{80\sqrt{10}-13\sqrt{13}}{27}}

7 0
3 years ago
A school's math and science clubs are selling laundry soap bars to raise money to buy new calculators. The profit for each sold
Stolb23 [73]

i think it would be $16.24

3 0
3 years ago
Read 2 more answers
2^n/2=1024<br>maths <br>find n <br>class 8​
IRISSAK [1]

the answer is above.

3 0
3 years ago
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A student records the repair cost for 17 randomly selected stereos. A sample mean of $52.33 and standard deviation of $21.44 are
Dafna11 [192]

Answer:

90% confidence interval is (43.25, 61.41)

Step-by-step explanation:

Given that,

n = 17

Mean, \bar{x} = 52.33

Standard deviation, \sigma = 21.44

∝ = 0.10

Now,

Confidence interval = \bar{x}  ± t_{\frac{\alpha }{2}, n-1} [\frac{\sigma}{\sqrt{n} } ]

                                 = 52.33 ± 1.7646 [ 21.44 / √17 ]

                                 = 52.33 ± 9.0791

So,

52.33 + 9.0791  = 61.4091

52.33 - 9.0791  = 43.2509

So,

90% confidence interval is (43.25, 61.41)

Also,

Lower end-point = 43.25

Upper end-point = 61.41

4 0
2 years ago
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