Solve for x
a)41
b)17
c)19
d)18

Answer:

209 biology books and 125 psychology books were sold.

Step-by-step explanation:

x = biology books y = psychology books

334 = x + y

x = y + 84

x - y = 84

y = x - 84

Using these systems of equations, we can see that (209,125) is the only possible answer. Elimination, substitution, or guess and check are all viable methods to solve this problem. I can explain further if needed! :)

Answer:

13.

Step-by-step explanation:

[tex]42 = a + (a+1) + (a+2) = 3a + 3 = 3(a+1)[/tex]

Then, [tex]a+1 = 14[/tex], so [tex]a=13.[/tex]

Answer: x = 4

Step-by-step explanation:

The cube root of 64 is 4

Answer: x=4

Step-by-step explanation:

4x4=16. 16x4=64

Answer:

make each of the supplementary angles 90, then they are equal.                                                                                                                                                                                                                                                                                                                  

Step-by-step explanation:

Answer:

bro are you talking about some picture

Step-by-step explanation:

Answer:

You must first put the equation into slope-intercept form (y = mx + b). To do this, subtract x from both sides to isolate y. Then, since y will be negative, divide each side by -1, resulting in y = x - 3. Since a 1 is understood to be in front of the x, the slope is 1

How to graph:

x-0 y- -3 or (0,-3)

x- 3 y-0 or (3,0)

If you graph these points you should get your graph

=======================================================

Explanation:

f(x) is continuous when x >= 1. The only discontinuity for f(x) is when x = 0, but 0 is not part of this interval.

f(x) is positive for any valid x value in the domain since x^6 is always positive. In general, x^n is positive for all x when n is any even number.

f(x) is decreasing. You can see this through a table of values or through a graph. For anything in the form 1/(x^k), it will be a decreasing function because x^k gets larger, so 1/(x^k) gets smaller, when x goes to infinity.

--------------------

The conditions to use the integral test have been met. So we have to see if [tex]\displaystyle \int_1^{\infty}f(x)dx[/tex] converges or not.

Let's integrate and find out

[tex]\displaystyle \int \frac{1}{x^6} dx = \int x^{-6} dx\\\\\\ \displaystyle \int \frac{1}{x^6} dx = \frac{1}{1+(-6)}x^{-6+1}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = \frac{1}{-5}x^{-5}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = -\frac{1}{5}*\frac{1}{x^5}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = -\frac{1}{5x^5}+C\\\\[/tex]

So we have

[tex]\displaystyle g(x) = \int f(x) dx\\\\\\\displaystyle g(x) = \int \frac{1}{x^6} dx\\\\\\\displaystyle g(x) = -\frac{1}{5x^5}+C\\\\\\[/tex]

Meaning that,

[tex]\displaystyle \int_{a}^{b} f(x) dx = g(b)-g(a)\\\\\\\displaystyle \int_{a}^{b} \frac{1}{x^6} dx = \left(-\frac{1}{5b^5}+C\right)-\left(-\frac{1}{5a^5}+C\right)\\\\\\\displaystyle \int_{a}^{b} \frac{1}{x^6} dx = -\frac{1}{5b^5}+\frac{1}{5a^5}\\\\\\[/tex]

If we plug in a = 1 and apply the limit as b approaches positive infinity, then the expression [tex]-\frac{1}{5b^5}+\frac{1}{5a^5}[/tex] will turn into [tex]\frac{1}{5}[/tex]

Therefore,

[tex]\displaystyle \int_{1}^{\infty} \frac{1}{x^6} dx = \frac{1}{5}\\\\\\[/tex]

Because this integral converges, this means the series [tex]\displaystyle \sum_{n=1}^{\infty}\frac{1}{n^6}[/tex] also converges as well by the integral test.

Answer:

Side A is 7

Side B is 15

Step-by-step explanation:

Answer:

Step-by-step explanation:

The difference quotient is a measure of the average rate of change of the function over an interval (in this case, an interval of length h). The limit of the difference quotient (i.e., the derivative) is thus the instantaneous rate of change.

Answer:

960

Step-by-step explanation:

8000/25 = 320

320 • 3 = 960

Answer:

Step-by-step explanation:

A1 = 9 x 4 = 36

A1 = 4 x 3 = 12

Total = 36 + 12

        = 48 in²

Answer:

Strategy 1:

I) D: Systematic Sampling

II) D: non - response bias.

Strategy 2:

I) B: Convenience Sampling

II) A: Selective bias

Strategy 3:

I) B: Cluster Sampling

II) B: non - response bias.

7) A: Strategy 1

Step-by-step explanation:

For Strategy 1,

I) the sampling method is systematic sampling. This is because Systematic sampling is a kind of method for probability sampling whereby sample members from a larger population will be selected according to a random starting point but it will be for a fixed or periodic interval.

Now, we were told that he chooses a random number k between 1 and 15 and then samples that person and every kth person on the list. This corresponds to a random starting point as shown in systematic sampling above.

We are also told that he emails the survey to each of the people in the sample and asks them to complete it by next Friday. This corresponds to a fixed time interval in the definition too. Thus, it is proven to be systematic sampling.

II) The bias here will be Nonresponse bias Strategy. This is because all the students may not respond to the survey as it is possible that the students may forget to fill the survey or may ignore it or may be too busy to reply. Thus, it is a non - response bias.

For Strategy 2: He gives out the survey only to his friends, and makes sure each one of them fills out the survey

I) The sampling method here is convenience sampling which can be defined as a sampling method where the sampling units are selected in line with how convenient it is for the researcher. In this case he has given it to only his friends and made sure they filled. Which means he did it with a convenience bias.

II) Because he gave it to only his friends, he may not have a true reflection of the research as it was inky his friends instead of being random where he can have diverse views that can truly represent the population. Thus, it is a selection bias.

For strategy 3;He randomly chooses 3 floors of the largest dorm on campus and distributes a paper survey to each resident on those floors. He places a box in the common room of the dorm to collect the completed surveys.

I) The type of sampling used here is cluster sampling which is defined as a sampling method where the population is divided into clusters and random sample picked from each cluster. In this case, the population has been divided into 3 floors and he randomly distributed to residents on each of those floors. Thus, it is an example of Cluster sampling

II) The bias here will be non - response bias because the could choose not to respond to the paper survey for various reasons and thus not all will respond. This leads to a non - response bias.

7) Strategy 1 will give the most representative sample of students at his college because he selected from the entire list of 1500 students.

Answer:

1. True

2. False

3. True

4. False

5. True

Step-by-step explanation:

For 1, you want to see the reduced fraction of 2/6 so you want to divide 2/6 by 2, it is 1/3 and 2/3 is greater than 1/3.

For 2, you want to multiply 5 by 2. and then do the same thing for 6, 6 x 2. Now you want to see if they match.

For 3, you want to make both fractions into decimals so 1/8 is 0.125 and 1/4 is 0.25 and see which is larger.

For 4, you want to see if you can simplify any of them. 2/4 can be simplifed to 1/2. So, it is false because you can see that 2/4 is the same as 1/2

For 5, you want to divide both fractions by 2, so 4/10 would be 2/5 and 4/6 would be 2/3. So it is true.

The answers for the given expressions are given below,

1. True

2. False

3. True

4. False

5. True

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

For 1, you want to see the reduced fraction of 2/6 so you want to divide 2/6 by 2, it is 1/3, and 2/3 is greater than 1/3.

For 2, you want to multiply 5 by 2. and then do the same thing for 6, 6 x 2. Now you want to see if they match.

For 3, you want to make both fractions into decimals so 1/8 is 0.125 and 1/4 is 0.25, and see which is larger.

For 4, you want to see if you can simplify any of them. 2/4 can be simplified to 1/2. So, it is false because you can see that 2/4 is the same as 1/2

For 5, you want to divide both fractions by 2, so 4/10 would be 2/5, and 4/6 would be 2/3. So it is true.

To know more about an expression follow

https://brainly.com/question/13780981

#SPJ2

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Answer:

it would me 24 legs

Step-by-step explanation:

hope that helps

Step-by-step explanation:

The sum of interior angles of a triangle is 180 degree

x + (180 - 3x ) + ( 180 - 2x - 72 ) = 180

x + 3x - 2x + 360 - 72 = 180

2x + 288 = 180

2x = 108

x = 54

L = 180 - 3x = 180 - 54*3 = 18

x + L + M = 180

54+18+M = 180

M = 108

Answer:

A

Step-by-step explanation:

Answer:

3x+18y

Step-by-step explanation:

Distribute into 15x+12y+6y-12x then add like terms.

Answer:

86 meters

Step-by-step explanation:

27+27+16+16=54+32=86 meters

Answer:

x=3⋅±  2

​  

=±4.2426

x=0

Step-by-step explanation:

Answer:

I wish I could help you but i have not learn yhat yet. so sorrry :( pleaser forgive jme....... please i beg u plase

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

75 percent of 20 is 15 and 100 percent of 20 is 20

The number of gallons of water should her new fish tank hold is to be considered as the option b. 35 gallons.

Since

Allisa needs a new fish tank. Her new fish tank must hold 175% of the water that her old one holds.

The old fish tank holds 20 gallons of water.

So we can say that

= 75% of 20 + 100% of 20

= 15 + 20

= 35

Hence, the option b is correct.

Learn more about number here: https://brainly.com/question/18084805

Answer:

6

Step-by-step explanation:

4x + 3 = 1

4x =-2

x = -1/2 so 4x +8 =4(-1/2) +8=6