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Lunna [17]
3 years ago
8

(4m+3)9+6m

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
3 0
Reorder it

9(4m + 3) + 6m

First, distribute the 9 to both 4m and 3

9(4m) + 9(3) + 6m

simplify

36m + 27 + 6m

simplify

42m + 27

42m + 27 is your answer

hope this helps
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In ΔPQR, m∠P = (3x+16) ,m∠Q=(4x-15),m∠R(2x+8) What is the value of x?
noname [10]

Answer:

  x = 19

Step-by-step explanation:

Assuming all angle measures are in degrees, the sum of them is 180:

  (3x +16) +(4x -15) +(2x +8) = 180

  9x +9 = 180 . . . . collect terms

  x + 1 = 20 . . . . . . divide by 9

  x = 19 . . . . . . . . . .subtract 1

The value of x is 19.

3 0
3 years ago
A cylindrical candle has a volume of approximately 400cm^3 and is 8 cm tall. What is the radius of the candle?
katrin2010 [14]

Answer:

<h2><u>Solution</u><u> </u><u>:</u><u>-</u></h2>

We know that

V = πr²h

400 = 22/7 × r² × 8

400 × 7 = 22 × 7r²

2800 = 154r²

2800/154 = r²

18 ≈ r²

4.2 = r

6 0
3 years ago
Read 2 more answers
Which expression should you simplify to find the 90% confidence interval,
bogdanovich [222]

Answer:

0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.2870.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613

we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613

Step-by-step explanation:

The estimated proportion of interest is \hat p=0.45

We need to find a critical value for the confidence interval using the normla standard distributon. For this case we have 95% of confidence, then the significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025.

And the critical value is:z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the true population proportion is interest is given by this formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

Replacing the values provided we got:

0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.287\\\\0.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613

And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613

5 0
3 years ago
Find The Surface Area Of The Prism!
Dmitry_Shevchenko [17]

Answer:

288

Step-by-step explanation:

the formula is 2(lw+wh+hl)

length - 8

width - 8

height 5

substitute the values and you get

2(64+40+40)

2(144)

= 288

7 0
3 years ago
Read 2 more answers
When estimating a job to bid, a contractor’s estimator first determines the actual cost of labor using the function L(h) = 28.75
dybincka [34]

Answer:

  M(h) = 73.18025h

Step-by-step explanation:

The composite function is ...

  M(B(L(h))) = M(B(28.75h)) = M(1.78(28.75h)) = M(51.175h)

  = 1.43(51.175h) = 73.18025h

The composite function is ...

  M(h) = M(B(L(h))) = 73.18025h

7 0
3 years ago
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