Spending a day observing a professional in his or her work
environment is called:
A. an internship
B. volunteering.
C. community service.
D. a job shadow.

Answer:

For Cooper :

Simple interest = $315

The total amount he would have in his account = $1815

For Trinity :

Simple interest =  $324

The total amount she would have in her account = $2124

Trinity's interest is higher than Cooper's interest by $9

The total amount of money Trinity would have at the end of 3 years is higher than that of Cooper by $309

Step-by-step explanation:

Simple interest = principal x rate x time

Value = amount deposited + simple interest

For Cooper :

Simple interest = $1,500 x 0.07 x 3 = $315

The total amount he would have in his account = $1,500 + $315 = $1815

For Trinity :

Simple interest = $1800 x 0.06 x 3 = $324

The total amount she would have in her account = $1,800 + $324 = $2124

Answer:

Square Root, Greatest Integer

Step-by-step explanation:

Functions can be symmetrical in two ways: They can be symmetrical across a line or symmetrical across a point.

In a Square root function, when reflected across the y-axis, the graph has no symmetry because -x returns a different value when plugged into the function.

For a Greatest Integer function, with [tex]\lfloor x \rfloor[/tex], if we change the value of x to -x and we floor -x, we get a different value than the original.

Hope this helped!

Answer:

[tex]PQR = 20[/tex]

Step-by-step explanation:

Given

Bisector: QS

[tex]PQS = 5x[/tex]

[tex]RQS = 2x + 6[/tex]

Required

Determine PQR

Since PQR is bisected to PQS and RQS, we have that

[tex]PQS = RQS[/tex]

Substitute expressions for PQS and RQS

[tex]5x = 2x + 6[/tex]

Collect Like Terms

[tex]5x - 2x = 6[/tex]

[tex]3x = 6[/tex]

Divide both sides by 3

[tex]x = 2[/tex]

Solving for PQR;

[tex]PQR = PQS + RQS[/tex]

[tex]PQR = 5x + 2x + 6[/tex]

[tex]PQR = 7x + 6[/tex]

Substitute 2 for x

[tex]PQR = 7 * 2 + 6[/tex]

[tex]PQR = 14 + 6[/tex]

[tex]PQR = 20[/tex]

Answer:

10

Step-by-step explanation:

Answer:

[tex]\Large \boxed{\mathrm{All \ real \ numbers}}[/tex]

Step-by-step explanation:

[tex]y=x^2[/tex]

The domain are the set of all possible values for x.

There are no restrictions on the value of x.

The domain is all real numbers.

Answer:

The correct option is;

The x-intercept represents the shirts he has to sell before making a profit

Step-by-step explanation:

The given data are;

(0, -20), (1, -10), (2, 0), (3, 10), (4, 20), (5, 30), (6, 40), (7, 50), (8, 25), (9, 40), (10, 55), (11, 70)

The data show a linear relationship because successive data point increases by the same amount of 10 for x between 0 and 7 and 15  for x between 8 and 11;

Therefore;

Slope, m of the first linear portion using points (2, 0), and, (4, 20) gives;

m =  (20 - 0)/(4 - 2) = 10

The equation of the line is therefore;

y - 20 = 10·(x - 4)

y = 10·x - 40 + 20

y = 10·x - 20

The y-intercept (x = 0) is y = -20

The x-intercept (y = 0) is found as follows;

0 = 10·x - 20

20 = 10·x

10·x = 20

x = 20/10 = 2

Therefore, when x = 2 we have;

Profit = y = 10·x - 20 = 10×2 - 20 = 0

Which can be expressed as, he has to sell more than 2 shirts to make profit

Therefore, the correct option is that the x-intercept represents the shirts he has to sell before making a profit.

Answer:

C  AB

Step-by-step explanation:

When, point C is between points A and B,

Then, AC + CB = AB

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

A point C is between points A and B,

Now, When point C is between points A and B,

Then, We get;

⇒ AC + CB = AB

Thus, When, point C is between points A and B,

Then, AC + CB = AB

Option C is true.

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Answer:

2, 1, 3, 4

Step-by-step explanation:

For future reference:

Make all the numbers (accept for the second one) into a common form. For example a decimal.

For the first one, it will simplify into 3/2 since both 9 and 4 can be easily rationalized.

The second can't be written as a decimal, but it will easily become the least greatest number.

The third is already a decimal and the fourth could just be divided 5/3 using a calculator.

From there you'll have

1.5, /5, 2.5, and 1.67

Answer:

1: 9/4

2: 5/3

3: 2.5

4. 5

Step-by-step explanation:

the square root of 9/4 is 1.5

5/3 = 1.6

2.5

and the square root of 5 is 2.23

Answer:

150 i think

Step-by-step explanation:

Answer:

c) 20 ounces

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Given that:

11th term of a geometric sequence is 32 times larger than the 6th term

The nth term of a geometric sequence is given by:

An = A*r^(n-1)

Where An = the nth term ; r = common ratio and n = term number ; A = first term

The 11th term:

A6 = A*r^(6 - 1) = Ar^5

A11 = 32A6 = 32Ar^5

A11 = Ar^(11 - 1) = Ar^10

Hence,

Ar^10 = 32Ar^5

r^(10 - 5) = 32

r^5 = 2^5

Hence, r = 2

Answer:

3/20 of more meat is used for a quarter pounder

Answer:

Just took the test

Step-by-step explanation:

The triangle by transformation with the rule (x, y)→(x−1, y+2) gives a triangle with vertices (-3,0), (6,5), and (3,7) and has been graphed.

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

The transformation of the given triangle by rule  (x, y)→(x−1, y+2) will

result in an increment of all y's values by 2 and a decrement of x's by 1.

(-2,-2) →  (-3,0)

(7,3) →  (6,5)

(4.5) → (3,7)

Hence "The triangle by transformation with the rule (x, y)→(x−1, y+2) gives a triangle with vertices (-3,0), (6,5), and (3,7)".

For more information about the graph of a function

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Answer:

A

Step-by-step explanation:

We are given the two functions:

[tex]\displaystyle h(x)=5+x \text{ and } k(x) = \frac{1}{x}[/tex]

And we want to find:

[tex](k\cdot h)(x)[/tex]

Recall that this is equivalent to:

[tex]\displaystye (k\cdot h)(x) = k(x) \cdot h(x)[/tex]

Substitute and simplify:

[tex]\displaystyle \begin{aligned} (k\cdot h)(x) & = \left(\frac{1}{x}\right)(5+x) \\ \\ & = \frac{5+x}{x} \end{aligned}[/tex]

In conclusion, our answer is A.

Answer:

A.  (5 + x) / x

Step-by-step explanation:

h(x) = 5 + x

k(h) = 1 / x

express the above to (k*h)(x)

(k*h)(x) = (1 / x) * (5 + x)

= 1/x (5+x)

= 1 * (5 + x)

         x

= 1 (5 + x) = 5 + x

= 5 + x

      x

Answer:

M = -13

Step-by-step explanation:

Divide both sides by -4−4.

m−26=3m

Subtract mm from both sides.

−26=3m−m

Simplify  3m - m  to  2m.

−26=2m

Divide both sides by 2

− 26/2=m

Simplify 26/2 to 13

-13=m

Switch sides.

m=13

Answer:

-13

Step-by-step explanation:

1. First distribute                      

2. Then get m on one side by adding 4m to both sides

3. Combine the numbers with the variable m

4. You need to get m by itself so divide both sides of the equation by -16

5. You should get m=-13

1.-4(m-26)=-4m+104  4m+4m+104=-12m

2. 104=-12m-4m

3. 104=-16m

4. 104/-13=-16/-16m

5. -13=m

Answer:

8π + 12 in²

Step-by-step explanation:

Just add the areas of the semicircle and the triangle.

Answer:

30 degrees

Step-by-step explanation:

Assuming you are talking about a triangle, you would add 35 and 115 to get 150. Then subtract from 180.

35+115=150

180-150=30

Answer:

876

Step-by-step explanation:

7689686896

Answer:

[tex]\Huge \boxed{x=8}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

E ———— F ———— G

EG = EF + FG

27 = (2x - 8) + (4x - 13)

Combining like terms.

27 = 6x - 21

Adding 21 to both sides.

48 = 6x

Dividing both sides by 6.

8 = x

[tex]\rule[225]{225}{2}[/tex]

The value of the variable x will be 1.

A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.

If EF = 2x - 8, FG = 4x - 13, and EG = 27.

Point F lies on the line segment EG. Then we have

EG = EF + FG

27 = 2x - 8 + 4x - 13

27 = 6x - 21

6 = 6x

x = 1

Then the value of the variable x will be 1.

More about the line segment link is given below.

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Answer:

-47

Step-by-step explanation:

-6(9) + 2(6) + 3 - 8

-54 + 12 + 3 - 8

-42 + 3 - 8

-39 - 8

-47

Answer:

(-5.-2)

Step-by-step explanation:

I hope this helps u

Answer: (-2,5)

Step-by-step explanation:

90 degrees counter clockwise= (x,y)->(-y,x)

Answer:

no solution

Step-by-step explanation:

Answer:

The x-axis is closer to B.

Step-by-step explanation:

Since the ratio PB:AB = 2/7 is positive, the line divides internally. So, we use the equation for the coordinates of a point that internally divide a line.

So, x = (mx₂ + nx₁)/(m + n) and y = (my₂ + ny₁)/(m + n)

where PB/AB = 2/7 = n/m. So, n = 2 and m = 7

Also, Point A = (0,0) = (x₁, y₁) and point P = (10, -5) = (x₂, y₂).

Substituting these values into x and y, we have

x = (mx₂ + nx₁)/(m + n)

x = (7(10) + 2(0)₁)/(7 + 2)

x = (70 + 0)/9

x = 70/9

x = 7⁷/₉

y = (my₂ + ny₁)/(m + n)

y = (7(-5) + 2(0)₁)/(7 + 2)

y = (-35 + 0)/9

y = -35/9

y = -3⁸/₉

So, the x and y coordinates of B are  7⁷/₉ and  -3⁸/₉ respectively. So, point B is -3⁸/₉ units away from the x-axis and 7⁷/₉ units away from the y-axis. So the x-axis is closer to B.

Answer:

ONe is postive and the other is negetive

Step-by-step explanation:

Answer:

The graphs and the table is missing in the question.

Step-by-step explanation:

The guidelines for interpreting correlation  co-efficient r are :

1. Strong correlation    0.7<|r|≤1

2. Moderate correlation   0.4<|r|<0.7

3. Weak correlation   0.2<|r|<0.4

4. No correlation  0≤|r|<0.2

Logarithmic regression

(i). Mean : [tex]$ {\overset{-}{ln}x} = \frac{\sum ln x_i}{n}, \ \ \ {\overset{-}y} = \frac{\sum y_i}{n} $[/tex]

(ii) Trend line : [tex]$ y = A +B \ln x, \ \ B = \frac{S_{xy}}{S_{xx}}, \ \ A={\overset{-}y-B{\overset{-}{\ln x}}}$[/tex]

(iii). Correlation coefficient : [tex]$ r = \frac {S_{xy}}{\sqrt{S_{xx}} \sqrt{S_{yy}}} $[/tex]

[tex]$ S_{xx} = \sum (\ln x_i - {\overset{-}{\ln x}})^2 = \sum (\ln x_i)^2-n. ({\overset{-}{\ln x}})^2$[/tex]

[tex]$ S_{yy} = \sum(y_i - {\overset{-}y})^2 = \sumy_i^2 - n. {\overset{-}y^2}$[/tex]

[tex]$ S_{xy} = \sum(\ln x_i - {\overset{-}{\ln x}})(y_i-{\overset{-}y}) = \sum \ln x_i y_i - n. {\overset{-}{\ln x}}{\overset{-}y} $[/tex]

Now using the technology we can calculate

The equation of the regression curve is y = A + B(lnx)

we get A = 30.72 , B = 17.19

The equation of regression curve is [tex]$ \hat y$[/tex] = 30.72 + 17.19(lnx)

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 24}}}}}[/tex]

Step-by-step explanation:

Let the number be 'x'

[tex] \sf{ \frac{x}{3} = - 8}[/tex]

Apply cross product property

[tex] \dashrightarrow{ \sf{x = - 8 \times 3}}[/tex]

Multiplying positive and negative integers gives a negative integer

[tex] \dashrightarrow{\sf{x = - 24}}[/tex]

Hope I helped!

Best regards! :D

Answer:

9

Step-by-step explanation:

|6|+|-3|=9

Answer:

D

you want to use the quadratic formula so you send the 6 over with the x² so you substact 6 on both sides and and and invisible 0x having your equation x²+0x-6 and substitute that equation into the quadratic formula

Answer: Bippie boppy boo the answer is true!  

Step-by-step explanation: It is B! I did the test