In which pair do both decimals represent rational numbers?
O A. 2.71828182845904523536... and 0.1222
O B. 3.141592653589793238... and 0.684
O C. 3.141592653589793238... and 0.1222...
O D. 0.684 and 0.1222...

1345753 yessssssssssss

Length can be expressed as 2L + 2w = 26 since we know the total perimeter is 26 inches. Width can expressed as w = 3L - 15, since we know that it is 15 inches less than 3x the length. Then substitute the width into the length formula.

2L + 2w = 26

2L + 2(3L - 15) = 26

2L + 6L - 30 = 26

8L = 56

L = 56/8

L = 7  inches

Substitute 7 into the width formula to find width:

w = 3L - 15

w = 3 x 7 - 15

w = 6 inches

Finally use the area formula:

A = L x W

A = 7 x 6

A = 42 [tex]inches^{2}[/tex]

Answer:

P(3) = 1/8

P(1) = 3/8

P(-1) = 3/8

P(-3) = 1/8

Step-by-step explanation:

Given that :

Coin is tossed 3 times :

Kindly check attached picture for detailed explanation

Answer:

Y intercept: The y intercept is -1, and the slope is 2/1, or 2.

Step-by-step explanation:

In the equation y=mx + b, m is the slope. B is the y intercept. So,  by taking y = mx + b, you get y = 2x - 1. So, 2x is the slope, or [tex]\frac{2}{1}[/tex], and -1 is the y intercept.

Answer:

THIS IS NOT MATHEMATICS!!!!!

Step-by-step explanation:

Answer:

Yes, Because if you can't add then you do not know how many times to add the number. For example, 5 x 5= 25

If you don't know what 5+5 equals then how are you supposed to figure out 5+5+5+5+5. That is just common knowledge that you should have learned in your early school years. You need to know how to subtract to divide so it is basically the same concept. I do not know anyone that does not know how to multiply but not add. To me, that does not even seem possible. I know that you have to be really good at adding to multiply too. Cause if you only know how to add up to 100 what happens when you get in high school and college and need to multiply in school over 100? Or thinking higher than that you need to know so that you can do taxes, pay bills, etc... So my answer to this question is yes, you should be proficient in addition to learn multiplication.

Answer:

$182

Step-by-step explanation:

Let x be the number of students going  

Let y be the total cost  

Then,  

7x=y  

7(26)=y  

$182=y  

Therefore, the total cost would be $182 for 26 students to go.

Hope this gives you an A

Answer:

expression: 7 × (S which is 26)

Total cost: 182

Step-by-step explanation:

A: -16 < -4

B: 40 > 8

C: -45 < 15

D: 35 > -20

E: Reverse

Answer:

Th answer is 2

Step-by-step explanation:

Subtract 5 from 10 then multiply 5 and 2

Glad i could help

Answer:

3

Step-by-step explanation:

5x-2=x+10

4x=12

x=3

(5*3)-2=15-2=13

3+10=13

13=13

Answer: the divergence of the vector fields at all points its defined is 0

Step-by-step explanation:

Given that;

div ( [x / (x²+ y² + z²)^1.5]i  +  [y / (x² + y² + z²)^1.5]j  +  [z / (x² + y² + z²)^1.5]k )

= d/dx [x / (x²+ y² + z²)^1.5]  +  d/dx [y / (x² + y² + z²)^1.5] +  d/dx [z / (x² + y² + z²)^1.5]

= [1 / (x²+ y² + z²)^1.5] - [3x² / (x²+ y² + z²)^2.5] + [1 / (x²+ y² + z²)^1.5] - [3y² / (x²+ y² + z²)^2.5] + [1 / (x²+ y² + z²)^1.5] - [3z² / (x²+ y² + z²)^2.5]

= [3 / (x²+ y² + z²)^1.5]  -  [(3x² + 3y² +3z²) / (x²+ y² + z²)^2.5]

= [2 / (x²+ y² + z²)^1.5]   -   [3 / (x²+ y² + z²)^1.5]  = 0

therefore the divergence of the vector fields at all points its defined is 0

Answer:s=71

Step-by-step explanation:44+65=109 109-180=71

Answer:

35,000 students did not open a new credit card account

Step-by-step explanation:

If 65% of students surveyed said they opened a new credit card account, the percentage of students that did not open a new credit card account is calculated as follows:

Total percentage = 100%

100% = 65% + (% of students that did not open a new account)

100 - 65 = % of students that did not open a new account

∴ % of students that did not open a new account = 100 - 65 = 35%

Next, let us convert this percentage to actual number

Total number of Students surveyed = 100,000

% of students that did not open a new account = 35%

35% of 100,000

= 35/100 × 100,000

= 0.35 × 100,000 = 35,000

Answer:

16

Step-by-step explanation:

since the triangle is the same on both sides, if one side is 16 then the other side is the same.

Answer:18 students for each teacher and 10 for each tutor, and if the academy had 80 students it would have 8 tutors

Answer:

1. 16 2. 8

Step-by-step explanation:

Answer:

The first one is 16 the other one is 8

Step-by-step explanation:

In partictual, you will never arrive at the truth.

Answer:

Sorry I'm a little late but the answer is

2 > -4

Answer:

All you have to do is divide 1 by 26 and that should be the value of x.

Step-by-step explanation:

Can I just say that is a very strange math equation XD

Answer:

Step-by-step explanation:

Find out what 1 Foot per centimeter is (1.5 centimeters per foot)Multiply 13 by 1.5 to find one side and 24 by 1.5 to find the other side.

Answer:yes it is! It’s correct

Answer: [tex]\mu=15.64[/tex]

Step-by-step explanation:

Let x be a random variable that represent the amount dispensed by a soft-drink dispensing machine which has a normal distribution with mean μ and standard deviation [tex]\sigma=[/tex] 0.155 ounce.

To find : μ such that P(X>16)=0.01

Consider  P(X>16)=0.01

[tex]P(\dfrac{X-\mu}{\sigma}>\dfrac{16-\mu}{0.155})=0.01[/tex]

Since, [tex]Z=\dfrac{X-\mu}{\sigma}[/tex]

Also, z-table , one -tailed z-value for p-value of 0.01= 2.326

Then, [tex]\dfrac{16-\mu}{0.155}=2.326[/tex]

[tex]\Rightarrow {16-\mu}=0.155\times2.326\\\\\Rightarrow {16-\mu}=0.36053\\\\\Rightarrow\ \mu=16-0.36053=15.63947\approx15.64\\\\\Rightarrow\ \mu=15.64[/tex]

Answer:

192 °

Step-by-step explanation:

Hope this helped! <3

Answer:

168.75°

Step-by-step explanation:

I think

Answer:

The sample size  is  [tex]n = 153664[/tex]  

Step-by-step explanation:

From the question we are told that

    The margin of error is  E  =  0.01

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Let take the standard deviation to be [tex]\sigma = 2 \ pounds[/tex]

Gnerally the sample size is mathematically represented as

       [tex]n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ]^2[/tex]

=>    [tex]n = [\frac{1.96 *2 }{0.01} ]^2[/tex]

=>    [tex]n = 153664[/tex]  

Answer:

The probability of the completion of the project on time is 0.504.

Step-by-step explanation:

The question is:

Define the event C : (project completed on time) in terms of E, F and S. Compute the probability P(C) operations will not be on time in terms of E, F and S.

Solution:

The events are:

E = excavation completed on time; P [E] = 0.8

F = foundation completed on time; P [F] = 0.7

S = superstructure completed on time; P [S] = 0.9

The event C denotes the completion of the project on time.

Compute the probability of event C as follows:

P (C) = P (E ∩ F ∩ S)

        = P (E) × P (F) × P (S)

        = 0.8 × 0.7 × 0.9

        = 0.504

Thus, the probability of the completion of the project on time is 0.504.

Answer:

The customer can make 42 different selections

Step-by-step explanation:

Here, we want to know the different selections a customer can make

A customer can request 1 engine size, 1 body style and 1 colour scheme from the available set for his car

Out of 3 engine sizes , he will select 1; that will be 3 C 1

Out of 3 body styles, he will select 1, that will be 3 C 1

Out of 7 color schemes, he will select one and that is 7 C 1

So the number of different selections will be;

3 C 1 * 3 C 1 * 7 C 1

= 3 * 3 * 7 = 42 different selections

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed

Answer:

Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.

Step-by-step explanation:

Answer:

after 8 years

24,000 - 900x < 17,000

the variable is x, the number of years

Step-by-step explanation:

One way is to just subtract 900 from 24000 until it gets to 17000.

1. 23,100

2. 22,200

3. 21,300

4. 20,400

5. 19,500

6. 18,600

7. 17,700

8. 16,800

Another way is to write an inequality.

I know you don't have to solve it, but I'm going to write it anyway.

24,000 - 900x < 17,000

24,000 is the total, or what you start with

900 is what goes down every year

x is the number of years

all of that has to be less than 17,000

To put this into words, it would be: if 24,000 minus $900 times the number of years is less than 17000, what is x?

To find the answer, first find the difference between 24000 and 17000

subtract 2400 from each so so you are left with:

-900x < -7,000

Then to find x, the number of years, divide both sides by -900:

x < 7.777...

since that is the exact answer, and we don't really need that, we can round it up to 8.

x < 8

To learn to do this might be troublesome, but its way faster in the end. I'm not the best at explaining math, but hope this helps :)

The area of a shape is the amount of space on the shape.

The best approximation for the area of the figure is [tex]14 + 16.25\pi[/tex]

Start by calculating the diameter of the semicircle using the following distance formula:

[tex]d = \sqrt{(x_2 -x_1)^2 +(y_2 -y_1)^2}[/tex]

So, we have:

[tex]d = \sqrt{(-4 -3)^2 +(-2 -2)^2}[/tex]

[tex]d = \sqrt{65}[/tex]

Divide by 2, to calculate the radius

[tex]r = \frac{\sqrt{65}}{2}[/tex]

So, the area of the semicircle is:

[tex]A = \frac{\pi r^2}{2}[/tex]

This gives

[tex]A = \pi (\frac{\sqrt{65}}{2})^2[/tex]

[tex]A = \frac{65}{4}\pi[/tex]

[tex]A = 16.25\pi[/tex]

Next, we calculate the area of the triangle using:

[tex]A = 0.5 * B * H[/tex]

Where:

[tex]B = 3 -(-4)[/tex]

[tex]B = 7[/tex]

[tex]H= 2 - (-2)[/tex]

[tex]H = 4[/tex]

So, we have:

[tex]A = 0.5 * 7 * 4[/tex]

[tex]A = 14[/tex]

The area of the figure is then calculated as:

[tex]A = 14 + 16.25\pi[/tex]

Hence, the best approximation for the area of the figure is [tex]14 + 16.25\pi[/tex]

Read more about areas at:

https://brainly.com/question/10090807