Which of the following can be useful when finding the value of a variable?
Check all that apply.

MULTIPLE CHOICE
NO LINKS

A. drawing a diagram
B. writing an equation
C. reading a table
D. drawing a graph

Answer:

C)  3(x+7)²

Step-by-step explanation:

Answer:

A) (3x + 21)(x + 7)

Step-by-step explanation:

If we look at the equation we can see that it is a quadratic equation, therefore we can factor it in the following way...

[tex]3x^{2} + 42x + 147 = 3x^{2} + 21x + 21x + 147 = 3x(x + 7) + 21(x + 7) = (3x + 21)(x + 7)[/tex]

Therefore the answer is A)

Answer:

$5.60 or 5.52

Step-by-step explanation:

Step one multiply 2 to 2.80 (Since 6 muffins cost $2.80, a dozen should be 6 times 2. Because a dozen is 12, so half of a dozen is 6, and multiply half by 2 and, you will get the answer.)

[tex]2 \times 2.80 = 5.60[/tex]

Answer:

The answer is "choice c".

Step-by-step explanation:

Below, we shall find the line equation, dissociation for both the management's behavior and achievement.

Here, attitudes are the response variable while performance seems to be the predictor as attitude is achievement dependant.

If Y indicates the attitude while X relates to workers' performance.

Let's describe the data like:

[tex]y=a+bx+e[/tex]

Now we get the estimates of e via the least quadratic method, – i.e., by reducing the number of segments.

[tex]S=\sum e_{i}^{2}=\sum {(y_{i}-a-bx_{i})^{2}}[/tex]

minimize S to obtain the estimates of a and b as:

[tex]\hat{b}=\frac{\sum{(y_{i}-\bar{y})(x_{i}-\bar{x})}}{\sum{(x_{i}-\bar{x})^{2}}}\\\\\hat{a}=\bar{y}-\hat{b}\bar{x}[/tex]

So,

[tex]a=11.7b=1.02[/tex]

Equation:

[tex]Y=11.7+1.02x[/tex]

Answer:

B

Step-by-step explanation:

Answer:

0.2w^2+4w+3

Step-by-step explanation:

a(w)=−0.4w^2+5w+9

c(w)=−0.2w^2+9w+12

We want to find the how many more children than adults

f(w) = c(w) - a(w)

    = −0.2w^2+9w+12 - ( −0.4w^2+5w+9)

Distribute the minus sign

= −0.2w^2+9w+12 +0.4w^2-5w-9

Combine like terms

 = 0.2w^2+4w+3

9514 1404 393

Answer:

  1046 pounds

Step-by-step explanation:

The volume of the hemisphere is given by the formula ...

  V = 2/3πr³

where r is the radius, or half the diameter.

The radius is (4 ft)/2 = 2 ft, so the volume of the tank is ...

 V = (2/3)π(2 ft)³ = 16/3π ft³ ≈ 16.755 ft³

Then the weight of the water in the tank is ...

  (16.755 ft³)(62.4 lb/ft³) ≈ 1045.52 lb

The total weight of the water is about 1046 pounds.

The options are missing, so i have attached them.

Answer:

options B, E, G & H are correct.

Step-by-step explanation:

A) We are given;

1.71 × 10³ = 0.00171

For this conversion, the exponent attached to 10 is positive. This means we will have to move the decimal point to the right of 1.71 three times because the exponent is 3.

Thus, the proper conversion is;

1.71 × 10³ = 1710

B) We are given;

8.05 × 10^(5) = 805000

For this conversion, the exponent attached to 10 is positive. This means we will have to move the decimal point five times to the right of 8.05 because the exponent is 5.

Thus, the proper conversion is;

8.05 × 10^(5) = 805000

C) We are given;

2.4 × 10⁴ = -24000

For this conversion, the exponent attached to 10 is positive. This means we will have to move the decimal point four times to the right of 2.4 because the exponent is 4.

Thus, the proper conversion is;

2.4 × 10⁴ = 24000

D) We are given;

8.25 × 10^(-3) = -8250

For this conversion, the exponent attached to 10 is negative. This means we will have to move the decimal point three times to the left of 8.25 because the exponent is -3.

Thus, the proper conversion is;

8.25 × 10^(-3) = 0.00825

E) We are given;

7.09 × 10^(-6) = 0.00000709

For this conversion, the exponent attached to 10 is negative. This means we will have to move the decimal point six times to the left of 7.09 because the exponent is -6.

Thus, the proper conversion is;

7.09 × 10^(-6) = 0.00000709

F) We are given;

3.99 × 10^(5) = 300,099

For this conversion, the exponent attached to 10 is positive. This means we will have to move the decimal point five times to the right of 3.99 because the exponent is 5.

Thus, the proper conversion is;

3.99 × 10^(5) = 399,000

G)We are given;

8 × 10^(7) = 80,000,000

For this conversion, the exponent attached to 10 is positive. This means we will have to move the decimal point seven times to the right of 8 because the exponent is 7.

Thus, the proper conversion is;

8 × 10^(7) = 80,000,000

H) We are given;

1.03 × 10^(-4) = 0.000103

For this conversion, the exponent attached to 10 is negative. This means we will have to move the decimal point four times to the left of 1.03 because the exponent is -4.

Thus, the proper conversion is;

1.03 × 10^(-4) = 0.000103

Looking at all the options as well as the proof I got, only options B, E, G & H are correct.

Answer:

what are you asking

Step-by-step explanation:

Answer:

54√2

Step-by-step explanation:

3√3 * 6√6

number x number = 6 * 3 = 18

root * root = √18 = √3^2 *.2 = 3√2

18 * 3 = 54

54√2

Answer:

Option A,B,C and D  is correct

Step-by-step explanation:

As we can see , the data set for April month has longer time duration taken for completing homework as compared to the time taken during the month of April. Hence, option A is correct.

Option B is also correct because most of the instance of time taken for doing homework is greater for month of April as compared to the month of March

Median value for the month of march = 25 and median value for the month of April is (30+35)/2 = 32.5. Hence, Option C is correct

There is greater variability for the month of April. Hence, option D is correct

Answer:

195 mL of the 90% solution

Step-by-step explanation:

Let the number of mL of 90% mixture = x

Hence, our equation is

780mL × 15% + x mL × 90% = (780mL + x) 30%

117 + 0.9x = 234 + 0.3x

Collect like terms

0.9x - 0.3x = 234 - 117

0.6x = 117

x = 117/0.6

x = 195 mL

Therefore, You will need 195 mL of the 90% solution

Answer:

Step-by-step explanation:

The number of sandwiches sold: 73

The cost to make one sandwich: S

The profit the band earns from one sandwich: 0.2S

The amount of money that the band recieves for selling one sandwich:

S + 0.2S

Answer:

12

Step-by-step explanation:

Do 8 divided by 14 =0.571428571

times that by 21 = 12

9514 1404 393

Answer:

  D

Step-by-step explanation:

The first equation of System 2 is the first equation of System 1.

The second equation has an x-coefficient of (A-L). The coefficients of x in System 1 are A and L, so (A-L) is their difference. The second equation of System 2 is the difference of the equations in System 1.

__

This is described by Choice D:

The second equation in System 2 is the difference of the equations in System 1. The first equation in System 2 is the first equation in System 1.

Answer:

6 or 2

Step-by-step explanation:

f(x) = 0.5|x - 4| + 6

0.5|x - 4| + 6 = 7

0.5|x - 4| = 7-6

0.5|x - 4| = 1

|x - 4| = 2

x -4 = ± 2

x-4 = 2 ==> x = 6

x-4 = -2 => x = 2

so the value of x = 6 or 2

Answer:

20v

Step-by-step explanation:

answer

20 v. hope helpful answer. 10+10v-10+10 =20

Answer:

well... uhm...its...uhm... 39.9

Step-by-step explanation:

x + 2 1/2 = 10

x + 0.5 = 10

x = 9.5

Someone donated 2 toys and one-half of a toy. Someone donated a random out of toys and we had 10 toys in total.

x equal that mystery amount of toys that were dontated.

Step-by-step explanation:

domain : i think is x > 4/3

range : y >4

Answer:

0.0006 = 0.06% probability of this occurrence

Step-by-step explanation:

For each unit, there are only two possible outcomes. Either it is defective, or it is not. The probability of an unit being defective is independent of any other unit, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

An electronics firm claims that the proportion of defective units of a certain process is 5%.

This means that [tex]p = 0.05[/tex]

A buyer has a standard procedure of inspecting 15 units selected randomly from a large lot.

This means that [tex]n = 15[/tex]

a) What is the probability of this occurrence?

Probability of 5 defective items, whch is P(X = 5). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{15,5}.(0.05)^{5}.(0.95)^{10} = 0.0006[/tex]

0.0006 = 0.06% probability of this occurrence

9514 1404 393

Answer:

  40.56 ft

Step-by-step explanation:

The length of the semicircle of diameter 8 ft is ...

  (1/2)(π)(d) = (π/2)(8 ft) = 4π ft ≈ 4×3.14 ft = 12.56 ft

Then the sum of the lengths of all of the sides of the figure is ...

  P = 10 ft + 8 ft + 10 ft + 12.56 ft = 40.56 ft

The perimeter of the figure is about 40.56 ft.

Answer:

It is B.282

Step-by-step explanation:

use "Calculator Soup"

https://www.calculatorsoup.com/calculators/geometry-solids/surfacearea.php

Answer:

A=25% B=75%

Step-by-step explanation:

So first lets make a sample space. (Im using red, blue, green, and yellow)

rr, rb, rg, ry

br, bb, bg, by

gr, gb, gg, gy

yr, yb, yg, yy

So for A its 4/16 or 1/4=25%

For B its 12/16=3/4=75%

Answer:

160 units²

Step-by-step explanation:

Surface area of the square pyramid = a² + 2al

Where,

a = side length of the square = 8

l = slant height of the triangular face = 6

Plug in the values

Surface area of the square pyramid = 8² + 2*8*6

= 64 + 96

= 160 units²

Answer:    [tex]2\sqrt{7}[/tex]

When writing this on a keyboard, you would say 2*sqrt(7)

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

Explanation:

The formula we'll use is

A = 0.5*p*q*sin(R)

where R is the angle between sides p and q.

The diagram shows that p = x+4 is opposite angle P, and q = x is opposite angle Q. Convention usually has the uppercase letters be angles, and the lowercase letters as the sides.

Plug in the given values and simplify to get the following

A = 0.5*p*q*sin(R)

A = 0.5*(x+4)*x*sin(60)

A = 0.5*(x+4)*x*sqrt(3)/2 ..... use the unit circle

A = 0.25*(x^2+4x)*sqrt(3)

A = (0.25x^2+x)*sqrt(3)

Set this equal to the given area of A = sqrt(27) and solve for x

A = (0.25x^2+x)*sqrt(3)

(0.25x^2+x)*sqrt(3) = A

(0.25x^2+x)*sqrt(3) = sqrt(27)

(0.25x^2+x)*sqrt(3) = 3*sqrt(3) .... see note1 at the very bottom

0.25x^2+x = 3

(1/4)x^2+x = 3

x^2+4x = 12 .... see note2 at the very bottom

x^2+4x-12 = 0

(x+6)(x-2) = 0

x+6 = 0 or x-2 = 0

x = -6 or x = 2

A negative side length doesn't make sense, so we ignore x = -6. The only solution here is x = 2.

Since x = 2, this means we have the following side lengths so far

Now apply the law of cosines to find the missing side.

r^2 = p^2 + q^2 - 2*p*q*cos(R)

r^2 = 6^2 + 2^2 - 2*6*2*cos(60)

r^2 = 36 + 4 - 24*1/2

r^2 = 40 - 12

r^2 = 28

r = sqrt(28)

r = sqrt(4*7)

r = 2*sqrt(7)

Side PQ is exactly 2*sqrt(7) units long

This approximates to 2*sqrt(7) = 5.2915

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

Footnotes:

Answer:

The correct answer is the "Brogden-Cronbach-Gleser formula".

Step-by-step explanation:

Well, you can come up with 1,2,3,4,5,6 from the die. Its rolled twice so those numbers can happen two times. So we can use a tree diagram to write it out

                                                             Die

                                                              /|\

1-----1------2------2-----3--------3------------------4-----4-------5----------5---------6------6

Should look something like this. Connect the lines from die to each number, I can't draw them on the computer but hopefully this helps!

The size of the sample space is 36. And the sample space is given below.

A sample is a group of clearly specified components. The number of items in a finite sample is denoted by a curly bracket.

A standard six-sided die is rolled two times.

Then the size of the sample space will be

Size of sample = 6 x 6

Size of sample = 36

Then the sample is given below.

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)

More about the sample link is given below.

https://brainly.com/question/350477

#SPJ2