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astraxan [27]
2 years ago
10

30. 9, -27, 81, -243, ... Find the next number

Mathematics
1 answer:
agasfer [191]2 years ago
7 0

Answer:

729

Step-by-step explanation:

<u><em>Write the recursive formula through the pattern:</em></u>

<u><em /></u>a_{n+1}=-3a_{n}

<u><em>Find terms of sequence through 9, -27, 81, -243 :</em></u>

729

<em>I hope this helps you</em>

<em>:)</em>

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A study found that the average stopping distance of a school bus traveling 50 mph was 264 feet. a group of automotive engineers
lutik1710 [3]

Answer:

Step-by-step explanation:

Given that a  study found that the average stopping distance of a school bus traveling 50 mph was 264 feet.

Sample taken showed the following results

n=40\\\bar x =262.3 feet\\Std dev = \sigma= 3 ft

Since population std deviation is known and sample size is large, z test can be used.

H_0: \bar x=264\\H_a: \bar x

(Left tailed test)

Mean difference = 264-262.3 = 1.7

Std error = \frac{\sigma}{\sqrt{n} } \\=\frac{3}{\sqrt{40} } \\=0.474

Z = test statistic = mean diff/std error

= \frac{1.7}{0.474} \\=3.584

p value = 0.00017

Since p < alpha our 0.05 we reject null hypothesis

There is evidence to show that mean is less than 264 feet

(Assumptions:

Sample are randomly drawn

Sample represents the population

4 0
3 years ago
In ΔUVW, the measure of ∠W=90°, the measure of ∠U=40°, and WU = 1.8 feet. Find the length of UV to the nearest tenth of a foot.
Dmitry_Shevchenko [17]

Answer: 2.3

Step-by-step explanation:

​

=

x

1.8

​

\cos 40=\frac{1.8}{x}

cos40=

x

1.8

​

x\cos 40=1.8

xcos40=1.8

Cross multiply.

\frac{x\cos 40}{\cos 40}=\frac{1.8}{\cos 40}

cos40

xcos40

​

=

cos40

1.8

​

Divide each side by cos 40.

x=\frac{1.8}{\cos 40}=2.3497\approx 2.3\text{ feet}

x=

cos40

1.8

​

=2.3497≈2.3 feet

5 0
3 years ago
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Please help me with this.
inessss [21]

Answer:

d. x = 1 1/3

Step-by-step explanation:

Step 1: Add 5/6x to both sides.

  • \frac{2}{3}x + \frac{5}{6}x = 2 - \frac{5}{6}x + \frac{5}{6}x
  • \frac{3}{2}x = 2

Step 2: Multiply both sides by 2/3.

  • \frac{3}{2}x * \frac{2}{3} = 2 * \frac{2}{3}
  • x = \frac{4}{3}
  • x = 1 \frac{1}{3}

8 0
3 years ago
Find the area of the shaded sector. Leave your answer in terms of π.
bearhunter [10]

Answer:

d=10m

r=10/2=5m

The Area is:

(πr^{2}) /2

(π5^2) / 2

=25π/2

=12.5π

8 0
3 years ago
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Solve the following system using the SUBSTITUTION method.<br> x - 3y = 2<br> 2x - 6y = 6
notka56 [123]

ANSWER:

  • x – 3y = 2 ...(1)
  • 2x – 6y = 6 ...(2)

On solving eq(1), we get

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Plug the value of x in eq(2)

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So, given system of equations is not correct.

6 0
3 years ago
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