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2 years ago

14

M is the midpoint of PQ. PM = 6x + 7 and MQ = 9x – 8, find the length of PQ.

1 answer:

koban [17]2 years ago

8 0

Answer:

The length of PQ is 64 units

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Find each indicated product <br>1) 2s(s-4) <br>2) (w+7) (w+3)<br>3) (x+9) (x-2) 4) (2t-1) (t+5)

Andrej [43]

Answer:

1) 2s(s-4

Ans:

$2(−4)$

$22−8$

2)(w+7) (w+3)

Ans:

$(+7)(+3)$

$(+3)+7(+3)$

$2+3+7(+3)$

$2+3+7+21$

$2+10+21$

4 0

3 years ago

Consider the following functions.<br> f(x) = x^2- 4<br> g(x) = x-2<br> What is (f(x)) (g(x))?

rodikova [14]

Answer:

(f(x) g(x)) = $x^3-2x^2-4x+8 ;$ all real numbers

Step-by-step explanation:

(f(x) g(x)) = $(x^{2} -4)(x-2)$

= $x^3-2x^2-4x+8$ via FOIL

6 0

3 years ago

(Small sample confidence intervals for a population mean) suppose you are taking a sampling of 15 measurements. you find that x=

Luda [366]

Answer:

The 99% confidence interval is $71.67 < \mu < 78.33$

Step-by-step explanation:

From the question we are told that

The sample size is $n = 15$

The sample mean is $\= x = 75$

The standard deviation is $s = 5$

Given that confidence is 99% then the level of significance is mathematically represented as

$\alpha = 100 - 99$

$\alpha = 1\%$

$\alpha = 0.01$

Next we obtain the critical values of $\frac{ \alpha }{2}$ from the normal distribution table

The value is

$Z_{\frac{ \alpha }{2} } = 2.58$

Generally the margin for error is mathematically represented as

$E = Z_{\frac{ \alpha }{2} } * \frac{ s}{ \sqrt{n} }$

=> $E = 2.58 * \frac{ 5}{ \sqrt{15} }$

=> $E = 3.3307$

The 99% confidence interval is mathematically represented as

$\= x -E < \mu < \= x +E$

=> $75 - 3.3307 < \mu$

=> $71.67 < \mu < 78.33$

3 0

3 years ago

The volume ( v) of a gas in a container at a constant temperature varies inversely as the pressure (p). If the volume of a gas i

andre [41]

The answer is 12.8 cm³

<span>The volume ( v) of a gas in a container at a constant temperature varies inversely as the pressure (p):
v = k/p
p * v = k (k - constant)

p1v1 = k
p2v2 = k
So, p1v1 = p2v2

v1 = 24 cm</span>³
p1 = 16 lb
v2 = ?
p2 = 30 lb

24 * 16 = x * 30
384 = x * 30
x = 384 / 30
x = 12.8 cm³

3 0

3 years ago

Bob made 4 1/4 pounds of fruit salad. He added 10 ounces of pineapple. How many 6-ounce servings did Bob make?

rosijanka [135]

Answer:

13 or B

Step-by-step explanation:

1 pound=16 oz

4 1/4=4.25, 4.25*16=68

68+10=78

78/6=13

6 0

3 years ago

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