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2 years ago

What is 4x^7 • 5x^3 simplified?

Mathematics

1 answer:

slavikrds [6]2 years ago

7 0

Answer:

20x^10

Step-by-step explanation:

4x^7 * 5x^3

4(x^7) * 5(x^3)

4*5(x^7)(x^3)

20 x^(7+3)

20x^10

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A city has 3 new houses for every 9 old houses. If there are 15 new houses in the city, how many old houses are there?

Arisa [49]

Answer:

45 old houses

Step-by-step explanation:

new houses : old houses

3 : 9

15 : ?

(3 = 1st ratio and 9 = 2nd ratio)

To find the missing ratio, divide the first ratio from the new ratio:

15 / 3 = 5

Take the product and multiply that by the second ratio to find the missing ratio:

9 x 5 = 45

6 0

2 years ago

Read 2 more answers

Find \tan\left(\frac{17\pi}{12}\right)tan( 12 17π )tangent, left parenthesis, start fraction, 17, pi, divided by, 12, end frac

uranmaximum [27]

One way to do this is to notice

$\dfrac{17\pi}{12}=\dfrac\pi6+\dfrac{5\pi}4$

Then

$\tan\dfrac{17\pi}{12}=\tan\left(\dfrac\pi6+\dfrac{5\pi}4\right)=\dfrac{\tan\frac\pi6+\tan\frac{5\pi}4}{1-\tan\frac\pi6\tan\frac{5\pi}4}$

We have

$\tan\dfrac\pi6=\dfrac{\sin\frac\pi6}{\cos\frac\pi6}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}$

and since $\tan x$ has a period of $\pi$ ,

$\tan\dfrac{5\pi}4=\tan\left(\pi+\dfrac\pi4\right)=\tan\dfrac\pi4=1$

and so

$\tan\dfrac{17\pi}{12}=\dfrac{\frac1{\sqrt3}+1}{1-\frac1{\sqrt3}}=\dfrac{1+\sqrt3}{\sqrt3-1}=2+\sqrt3$

7 0

3 years ago

The function below crosses thr x-axis once. Y=3×2-8x+8

lukranit [14]

It will be at point (5,5)

4 0

2 years ago

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p: n = 195,

Troyanec [42]

Answer:

c. 0.778 < p < 0.883.

Step-by-step explanation:

The formula for confidence interval for proportion =

p ± z score × √p(1 - p)/n

p = x/n

n = 195, x = 162

z score for 95% confidence Interval = 1.96

p = 162/195

p = 0.8307692308

p ≈ approximately equal to = 0.8308

0.8308 ± 1.96 × √0.8308 × (1 - 0.8308)/195

0.8308 ± 1.96 ×√0.8308 × 0.1692/195

0.8308 ± 1.96 × √0.0007208788

0.8308 ± 1.96 × 0.0268491862

0.8308 ± 0.052624405

Confidence Interval

= 0.8308 - 0.052624405

= 0.778175595

Approximately = 0.778

= 0.8308 + 0.052624405

= 0.883424405

Approximately = p

0.883

Therefore, the confidence interval for this proportion = (0.778, 0.883) or option c. 0.778 < p < 0.883

6 0

3 years ago

Please find x and a

aev [14]

Answer:

x = 36

a = 25

Step-by-step Explanation

By Pythagoras Theorem:

$x = \sqrt{ {39}^{2} - {15}^{2} } \\ \\ x = \sqrt{1,521 - 225} \\ \\ x = \sqrt{1,296} \\ \\ x = 36 \\ \\ a = \sqrt{ {20}^{2} + {15}^{2} } \\ \\ a = \sqrt{400 + 225} \\ \\ a = 25 \sqrt{625} \\ \\ a = 25$

8 0

2 years ago