What is the measure of arc PSR? *

75 degrees
260 degrees
65
100

Given:

The equation is

[tex]\log_3625=x[/tex]

To find:

The value of x.

Solution:

We have,

[tex]\log_3625=x[/tex]

It can be written as

[tex]\log_3(5)^4=x[/tex]

[tex]4\log_3(5)=x[/tex]              [tex][\because \log x^n=n\log x][/tex]

[tex]4\dfrac{\log (5)}{\log (3)}=x[/tex]               [tex][\because \log_ab=\dfrac{\log_xb}{\log_xa}][/tex]

[tex]4\times \dfrac{0.69897}{0.47712}=x[/tex]

[tex]x\approx 5.8599[/tex]

Therefore, the value of x is about 5.8599.

Answer:

A. Sine Y = 20 / 29

B. Cos Y = 21 / 29

C. Tan Y = 20 / 21

D. Sine Z = 21 / 29

E. Cos Z = 20 / 29

F. Tan Z = 21 / 20

Step-by-step explanation:

A. Determination of Sine Y

Opposite = 20

Hypothenus = 29

Sine Y =?

Sine Y = Opposite / Hypothenus

Sine Y = 20 / 29

B. Determination of Cos Y

Adjacent = 21

Hypothenus = 29

Cos Y =?

Cos Y = Adjacent / Hypothenus

Cos Y = 21 / 29

C. Determination of Tan Y

Opposite = 20

Adjacent = 21

Tan Y =?

Tan Y = Opposite / Adjacent

Tan Y = 20 / 21

D. Determination of Sine Z

Opposite = 21

Hypothenus = 29

Sine Z =?

Sine Z = Opposite / Hypothenus

Sine Z = 21 / 29

E. Determination of Cos Z

Adjacent = 20

Hypothenus = 29

Cos Z =?

Cos Z = Adjacent / Hypothenus

Cos Z = 20 / 29

Determination of Tan Z

Opposite = 21

Adjacent = 20

Tan Z =?

Tan Z = Opposite / Adjacent

Tan Z = 21 / 20

Answer:

A. 0.0272

B. 0.0278

C. No

Step-by-step explanation:

a. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 1995u

First step is to calculate the Standard error using this formula

Standard error(SE)= √(pcap * (1 - pcap)/n)

Where,

pcap represent sample proportion = 0.639

n represent sample size = 1200

Let plug in the formula

Standard error (SE)= √(0.639 * (1 - 0.639)/1200)

Standard error(SE)= 0.0139

Second step is to find Zc using this formula

Zc = Z(α/2)

Where,

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Zc = Z(α/2) = 1.96

Now let calculate the Margin of Error using this formula

Margin of Error= zc * SE

Let plug in the formula

Margin of Error = 1.96 * 0.0139

Margin of Error = 0.0272

Therefore the Margin of Error is 0.0272

b. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 2016

First step is to calculate the Standard error using this formula

Standard error(SE)= √(pcap * (1 - pcap)/n)

Where,

pcap represent sample proportion = 0.417

n represent sample size = 1200

Let plug in the formula

Standard error (SE)= √(0.417 * (1 - 0.417)/1200)

Standard error(SE)= 0.0142

Second step is to find Zc using this formula

Zc = Z(α/2)

Where,

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Zc = Z(α/2) = 1.96

Now let calculate the Margin of Error using this formula

Margin of Error= zc * SE

Let plug in the formula

Margin of Error = 1.96 * 0.0142

Margin of Error = 0.0278

Therefore the Margin of Error is 0.0278

c. Based on the above calculation for both (a) and (b) the MARGIN OF ERROR are NOT the same reason been that (a) Margin of Error is 0.0272 while (b) Margin of Error is 0.0278 which simply shows that the proportion in parts (a) and are different.

Incorrect

60 × 3

Correct

12 + 5 + 3

Incorrect

3 × 5 × 12

Correct

12 × 5

Correct

(12 × 5) + 3

Answer:

21.3 m

Step-by-step explanation:

Answer:

3x + 5 = 12 - 7x

⇒ 3x = 12 - 5 - 7x

⇒ 3x = 7 - 7x

⇒ 3x + 7x = 7

⇒ 10x = 7

⇒ x= 7 ÷ 10

⇒ x = 0.7

Answer:

750?

Step-by-step explanation:

there is groups of 40 so we take 1000/40 now we have 25 take 25x10 and we will and up with 250 minus 1000 - 250 and we have 750

Answer:

D

Step-by-step explanation:

Answer:

40 feet by 4 feet

Step-by-step explanation:

Given length (l) = 100 feet

width (w) = 10 feet

As mentioned in the question the size of garden is decreased to 2/5 of its size. It will effect the length and width with the same proportion.

So,

New length = 100 * 2/5 = 40 feet

New width = 10 * 2/5 = 4 feet

Therefore, the scale of new drawing would be 40 feet by 4 feet.

Answer:

-4x^9

Step-by-step explanation:

Answer:3,000

Step-by-step explanation:

Answer:

3000

Step-by-step explanation:

300    x

10     100

300x100

30,000

30,000/10

3000

Answer:

8.154 - 0.05

751 602 - 50 000

1 567 324 896 - 500 000 000

Answer:

I think she put it in the 2nd place because it has the smallest amount of x's , and 1 and 3 has more

Answer:

2.7084

Step-by-step expla

Answer:

A

Step-by-step explanation:

You have two inequalities:

2x-8<2 = 2x<10 = x<5

-2x+8<2= -2x<-6 = x>3

Combine the two to get 3<x<5

Hope this helps!

Answer and Step-by-step explanation:

The answer would be A, in which x can be any value between 3 and 5, exclusive, or not including.

This is because in this situation, if you put any number greater than or equal to 5, or any number less than or equal to 3 it would be greater than 2 due to the absolute thing (noted as |  |  )

So, any number thats between 3 and 5 will work, as it will be less than 2.

#teamtrees #POG (Plant Our Garden)

Answer:

The highest point is at (5, 0)

Another point on this graph is (6, -1)

The graph and explanation are below.

6999999 huhuijuu harder daddy

Answer:

5

Step-by-step explanation:

To find the distance between two points, use the distance formula, [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, while the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. Thus, substitute the x and y values of the given points into the appropriate places of the formula and solve:

[tex]d = \sqrt{((-1)-(3))^2+((4)-(7))^2} \\d = \sqrt{(-1-3)^2+(4-7)^2} \\d = \sqrt{(-4)^2+(-3)^2} \\d = \sqrt{16 + 9 } \\d = \sqrt{25} \\d = 5[/tex]

Thus, the distance is 5 units.

Answer:

[tex](\frac{4\sigma}{2.056})^2[/tex], rounded up, if needed, citizens should be included in the sample, in which [tex]\sigma[/tex] is the standard deviation of the population.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.056.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Within 4 years of the actual mean

We have to find n for which M = 4. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]4 = 2.056\frac{\sigma}{\sqrt{n}}[/tex]

[tex]2.056\sqrt{n} = 4\sigma[/tex]

[tex]\sqrt{n} = \frac{4\sigma}{2.056}[/tex]

[tex](\sqrt{n})^2 = (\frac{4\sigma}{2.056})^2[/tex]

[tex]n = (\frac{4\sigma}{2.056})^2[/tex]

[tex](\frac{4\sigma}{2.056})^2[/tex], rounded up, if needed, citizens should be included in the sample, in which [tex]\sigma[/tex] is the standard deviation of the population.

Answer:

6 benches are needed

Step-by-step explanation:

3/4= 6/8

1/8 goes into 6/8, 6 times so,

6 benches are needed on the 3/4 mile trail

Answer:

b.

You have more debits than credits.

Step-by-step explanation

Being in the red means that you are in debt so im 90% sure its B

If you get this wrong then i am very sorry.This is my input :)

Answer:

B

Step-by-step explanation:

In accounting, if the debit balance is more than the credit balance on income statement, there is a loss.

If the credit balance is more than the debit balance on income statement, there is a profit.

Option C and D are both not correct because this does not relate to whether a Financial record is accurate or not.

Answer:

The answers will placed according to the order that they were given

6.93

15.75

17.64

6.93

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

How?

so the easiest and quickest way to answer these type of questions are to do the opposite.

so -11+8=-3

if you get a question like

3x+2=17

17-2=15

15 divided by 3=5

so x=5

hope that helps

thank you

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

n + 9 = 14

=> n + 9 - 9 = 14 - 9. [For isolating the variable we subtract 9 from both sides]

=> n = 5 (Ans) [ Variable isolated]

Answer:

80.

Step-by-step explanation:

I've seen this question before and got it right. It's really simple. One of the other questions is what is the total volume and its 108. The smaller one is 28. You just add them up and get 108.

Answer:

Im pretty sure its 7.5 litres i might be wrong still.

Answer:

7,500 cm

Step-by-step explanation:

It would be 7,500 cm because if you do 50 X 10 you get 500 because the volume formula is L X W X H then you would multiply 500 times 15 and you get 7,500 cm.