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3 years ago

How do I answer this ? (1 + 3x)º 44°

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

5 0

Answer:

132x+44

Step-by-step explanation:

(1+3x)(44)

=(1+3x)(44)

=(1)(44)+(3x)(44)

=44+132x

=132x+44

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Which value of b would make 16x²-bx + 25 a perfect square trinomial?

blondinia [14]

Answer:

b = 40 and -40

Step-by-step explanation:

General form of Perfect square trinomial is a 2 + 2 a b + b 2

Therefore from 16 x 2 − b x + 25 a 2 = √ 16 x 2 , b 2 = 25 , then a = ± 4 x , b = ± 5 take consideration a=4x and b=-5 (different sign), then − b x = 2 ( 4 x ) ( − 5 ) − b x = − 40 x b = 40

The perfect square is ( 4 x − 5 ) 2 = 16 x 2 − 40 x + 25 .

if we consider a=4x and b=5 (same sign), then − b x = 2 ( 4 x ) ( 5 ) − b x = 40 x b = − 40

The perfect square is ( 4 x + 5 ) 2 = 16 x 2 + 40 x + 25 .

The first solution ( 4 x − 5 ) 2 is the best solution after comparing the expression given. I hope this helps, xx .

8 0

3 years ago

20% of the 6th graders are in the play. If

marta [7]

Answer:

Step-by-step explanation:

32×20%

32×.20

6.4

round it to 6

6 0

4 years ago

Read 2 more answers

Use a calculator to find a value of θ between 0° and 90° that satisfies the statement. Write your answer in degrees and minutes

Julli [10]

Answer:

$\theta = 14.1\ degrees$

$846\ minutes$

Step-by-step explanation:

Given

$csc(\theta) = 4.1191$

Required

Solve for $\theta$

$csc(\theta) = 4.1191$

$csc(\theta) = \frac{1}{sin(\theta)}$

So, we have:

$\frac{1}{sin(\theta)} = 4.1191$

Invert both sides

$sin(\theta) = \frac{1}{4.1191}$

$sin(\theta) = 0.2428$

Take $sin^{-1}$ of both sides

$sin^{-1} sin(\theta) = sin^{-1}0.2428$

$\theta = sin^{-1}0.2428$

$\theta = 14.0518577574$

$\theta = 14.1\ degrees$ --- approximated

Convert to minutes:

$1\ degree = 60\ minutes$

So:

$14.1\ degrees = 14.1 * 60\ minutes$

$14.1\ degrees = 846\ minutes$

4 0

3 years ago

Are there any supplementary, vertical, or complimentary angles? If so wich ones

Shalnov [3]

Supplementary: N and M

Supplementary angles: A pair of angles that when combined are equal to 180°.

Vertical: M and I

Vertical angles: A pair of opposite angles that are made by two intersecting lines.

Complimentary: None

Complimentary angles: A pair of angles that when combined are equal to 90°.

Hope this helps! Good luck! :D

3 0

3 years ago

Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 17 cans of the so

LiRa [457]

Answer:

a)Null Hypothesis: $\sigma^2 \geq 0.0196$

Alternative hypothesis: $\sigma^2$

b) $\chi^2 =\frac{17-1}{0.0196} 0.0121 =9.878$

c) $p_v =P(\chi^2$

d) If we compare the p value we see that is higher than the significance level so then we have enough evidence to FAIL to reject the null hypothesis and we can't say that the true deviation is significantly lower than 0.14

Step-by-step explanation:

Data given

$n=17$ represent the sample size

$\alpha=0.01$ represent the confidence level

$s^2 =0.11^2 = 0.0121$ represent the sample variance obtained

$\sigma^2_0 =0.14^2 = 0.0196$ represent the value that we want to test

Part a System of hypothesis

On this case we want to check if the population deviation is lower than 0.14, so the system of hypothesis would be:

Null Hypothesis: $\sigma^2 \geq 0.0196$

Alternative hypothesis: $\sigma^2$

Part b: Calculate the statistic

The statistic is given by:

$\chi^2 =\frac{n-1}{\sigma^2_0} s^2$

And replacing we got:

$\chi^2 =\frac{17-1}{0.0196} 0.0121 =9.878$

Part c: Calculate the p value

In order to calculate the p value we need to find first the degrees of freedom , on this case 17-1=16. And since is a left tailed test the p value would be given by:

$p_v =P(\chi^2$

In order to find the p value we can use the following code in excel:

"=CHISQ.DIST(9.878,16,TRUE)"

Part d: Conclusion

If we compare the p value we see that is higher than the significance level so then we have enough evidence to FAIL to reject the null hypothesis and we can't say that the true deviation is significantly lower than 0.14

8 0

3 years ago