Given the graph of a function f. Identify function by name. Then graph the indicated functions. State the domain and the range in set notation.A) f(x-1) -3B) -f(x)

Given The Graph Of A Function F. Identify Function By Name. Then Graph The Indicated Functions. State

Answers

Answer 1

Answer:

For f(x);

The domain is;

[tex]D\colon x=(-\infty,\infty)[/tex]

The range is;

[tex]R\colon y=\lbrack0,\infty)[/tex]

Graphing those points for function A, we have;

The domain and range of the given function A is;

[tex]\begin{gathered} \text{Domain}\colon x=(-\infty,\infty) \\ \text{Range}\colon y=\lbrack-3,\infty) \end{gathered}[/tex]

Graphing those points for function B, we have;

The domain and range of the given function B is;

[tex]\begin{gathered} \text{Domain}\colon x=(-\infty,\infty) \\ \text{Range}\colon y=(-\infty,0\rbrack \end{gathered}[/tex]

Explanation:

Given the function in the attached image;

The function is a square function and can be written as;

[tex]f(x)=x^2[/tex]

The domain is;

[tex]D\colon x=(-\infty,\infty)[/tex]

The range is;

[tex]R\colon y=\lbrack0,\infty)[/tex]

A.

[tex]f(x-1)-3=(x-1)^2-3[/tex]

B.

[tex]-f(x)=-x^2[/tex]

Graphing the functions;

For A;

[tex]\begin{gathered} f(1-1)=(1-1)^2-3=-3 \\ (1,-3) \\ f(3-1)=(3-1)^2-3=1 \\ (3,1) \\ f(-1-1)=(-1-1)^2-3=1 \\ (-1,1) \end{gathered}[/tex]

Graphing those points for function A, we have;

The domain and range of the given function A is;

[tex]\begin{gathered} \text{Domain}\colon x=(-\infty,\infty) \\ \text{Range}\colon y=\lbrack-3,\infty) \end{gathered}[/tex]

For B;

[tex]\begin{gathered} -f(x)=-x^2 \\ -f(0)=-0^2 \\ (0,0) \\ -f(2)=-2^2=-4 \\ (2,-4) \\ -f(-2)=-(-2)^2=-4 \\ (-2,-4) \end{gathered}[/tex]

Graphing those points for function B, we have;

The domain and range of the given function B is;

[tex]\begin{gathered} \text{Domain}\colon x=(-\infty,\infty) \\ \text{Range}\colon y=(-\infty,0\rbrack \end{gathered}[/tex]
Given The Graph Of A Function F. Identify Function By Name. Then Graph The Indicated Functions. State
Given The Graph Of A Function F. Identify Function By Name. Then Graph The Indicated Functions. State

Related Questions

4 strings 5 strings 6 strings 25% off 4 4 8 50% off 6 8 3 Vhat is the probability that a randomly selected Simplify any fractions.

Answers

[tex]\text{probability }=\frac{\text{ number of favorable outcomes}}{\text{ total number of outcomes}}[/tex]

number of banjos that have 5 or 6 strings: 4 + 8 + 8 + 3 = 23

total number of banjos: 6 + 4 + 4 + 8 + 8 + 3

The standard trampoline has a diameter of 14 feet. What is its circumference?

Answers

The circumference, C, of a circle is computed as follows:

[tex]C=\pi D[/tex]

where D is the diameter of the circle. Substituting with D = 14 ft, we get:

[tex]\begin{gathered} C=\pi\cdot14 \\ C\approx44\text{ ft} \end{gathered}[/tex]

The circumference of the trampoline is approximately 44 feet

Solve the following using substitutionY = -2X + 10.5x - y = 4

Answers

We are to solve the equations

[tex]\begin{gathered} y=-2x+1 \\ 0.5x-y=4 \end{gathered}[/tex]

The equation can be rewritten as

[tex]\begin{gathered} y+2x=1------------\text{equation 1} \\ -y+0.5x=4-----------\text{equation 2} \end{gathered}[/tex]

Using substitution method

From equation 1

[tex]y=1-2x--------\text{equation 3}[/tex]

Substitute 1 - 2x for y into equation 2

This gives

[tex]\begin{gathered} -(1-2x)+0.5x=4 \\ -1+2x+0.5x=4 \\ -1+2.5x=4 \\ 2.5x=4+1 \\ 2.5x=5 \\ x=\frac{5}{2.5} \\ x=2 \end{gathered}[/tex]

Therefore, x = 2

Substitute 2 for x into equation 3

This gives

[tex]\begin{gathered} y=1-2(2) \\ y=1-4 \\ y=-3 \end{gathered}[/tex]

Therefore the solution to the equations is

x = 2, y = -3

please i need help. can someone please help me

Answers

Smaller Rectangular Prism:
5 x 5 x 7 = 175 in^3

Bigger Rectangular Prism:
7 x 14 x 11 = 1078 in ^3

Answer:
1078 + 175 = 1,253 in^3

Which inequality is true?O A. 31 - 1<8B. + 6 < 9O c. <3D. 477 > 12

Answers

The answer is D

To solve this, we can use similar values of the ones in the problems and compare it:

With a just add one to each side:

[tex]undefined[/tex]

Write the correct equation for the following statement.

You decide to rent a limo for prom. The rate is $250 plus $6 per mile
traveled. Write an equation to calculate your total cost (c) at the end of
the evening for a given number of miles (m).
250+6m

If you travel 45 miles what will be your total bill at the end
of the evening?

Answers

Answer:

Easy;

Substitute m (miles) for 45.

250+6(45)

(6 dollars per mile, times 45 miles, plus the 250 flat rate)

250+270

520

So you would be charged 520 dollars total at the end of the evening.

Hope this helped!

Hello can someone help I dont really think I'm correct.

Answers

According to the given number line A is on -7, X is on -2 and E is on 8.

As you can observe in the image below, X is 5 units away from A. At the same time, X is 10 units away from E.

Therefore, point X is double distant from E as far as it is from A.

The ratio of this relation would be 2:1 from E to A.

Finding the Slope of a LineVy10What is the slope of a line that contains the points (1,9) and (4, 3)?The slope of the line is<88642N2x624.8

Answers

Given the points: (1, 9) and (4, 3)

To find the slope:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex][tex]m=\frac{3-9}{4-1}[/tex]

m = -2

Could someone please help me with this?

Answers

Answer:

1. f(4) = 4

2. g(2) = -4

3. f(-5) = -14

4. g(-3) = 21

5. f(0) = -4

6. g(0) = 0
7. f(3) - 1 = 1

8. f(1/4) = -3.5 or -7/2

9. g(1/4) = -0.9375 or -15/16

10. f(a^2) = 2a^2 - 4

11. f(k+1) = 2k - 2

12. g(2n) = 2n^2 - 8n

13. f(3x) = 6x - 4

14. f(2) + 3 = 3

15. g(-4) = 32

Step-by-step explanation:

here’s a pic of my work:

Mr.Kermshner has 168 bandages march through June. How much is it if each bandage is 3 cents

Answers

504 bandages if it is each bandage is 3 cents.

Given,

Mr. Kermshner has 168 bandages march through June.

To find the how much is it if each bandage is 3 cents ?

Now, According to the question,

Based on the given conditions,

Formulate:

Total bandage is 168

and, each bandage is 3 cents

= 168 x 3

= 504

Alternative form = 5.04 x 10^2

Hence, 504 bandages if it is each bandage is 3 cents.

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The length of a rectangle is (5x+1) inches. The width is (x). Express the area of the
checkerboard in terms of the variable x. Use the formula: A = L-W
14.

Answers

Answer: A = 7x

Step-by-step explanation:

Area = Length x  Width

A = L * W

L = 5x + 1        W = x

Plug the length and width into the equation for area.

A = (5x + 1) * x

A = 6x + x

A = 7x

Is it true that Weight is a function of Height?

Answers

Answer:

Yes

Step-by-step explanation:

The number of height is also the number of wegt

Cylinder a r=4 h = 7 7 b. h= 14.3, r = 8.5

Answers

To calculate the volume of a cylinder you have to multiply the area of the circle by the height of the cylinder.

[tex]\begin{gathered} V=A\cdot h \\ V=\pi r^2\cdot h \end{gathered}[/tex]

We know that the radius of the circle is r=4 and the height of the cylinder is h=7, replace both values on the formula to determine the volume:

[tex]\begin{gathered} V=\pi(4^2)\cdot7 \\ V=\pi\cdot16\cdot7 \\ V=112\pi \\ V\approx351.86 \end{gathered}[/tex]

The volume of the cylinder is approximately 351.86 cubic units.

The velocity of a body as a function of time is given as Vt=5e-2t+4 where t is in seconds, and V is in ms. The acceleration in ms2 at t=0.6s is .....​

Answers

The velocity of a body as a function of time is given as Vt=5e-2t+4 where t is in seconds, and V is in ms acceleration at t = 0.6s is -10x 0.30119m/[tex]s^{2}[/tex].

The velocity of a body  is given by

Vt=5e-2t+4

acceleration a(t)= [tex]v'(t)[/tex]

                           =   d/dt  [tex]v'(t)[/tex]

                          =  d/dt  5e-2t+4

                         = -10[tex]e^{-2t}[/tex]

put t = 0.6

acceleration at t= 0.6= a(0.6)

                            = [tex]-10e^{-2\times0.6}[/tex]

                            = -10x [tex]e^{-12}[/tex]

                            = -10x 0.30119m/[tex]s^{2}[/tex]

What is acceleration?

acceleration is the rate of change of the speed of an object with respect to time. Accelerations are vector quantities. The direction of the target's acceleration is obtained from the direction of the net force  on the target.

Three types of accelerated motion

Uniform acceleration non-uniform acceleration intermediate acceleration.

The term uniform acceleration refers to  motion in which an object moves in a straight line with increasing speed at equal intervals of time.

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f(x) = x² + 9x from x1 = 4 to x2 = 8.


is the rate of change 21?

Answers

The average rate of change of f(x) on the interval [4, 8] is 21.

How to find the rate of change?

For a function f(x), the rate of change on an interval [a, b] is given by:

R = ( f(b) - f(a))/(b - a)

In this case the function is:

f(x) = x² + 9x

And the interval is [4, 8]

Then the rate of change is

R = ( f(8) - f(4))/(8 - 4)

we will get:

f(8) = 8² + 9*8 = 136

f(4) = 4² + 9*4 + 16 + 36 = 52

Replacing that we get:

R = (136 - 52)/4 = 21

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Lucy bought a plant and planted it in a pot near a window in her house. The initial height of the plant was 12 inches and it grew at a rate of 2 inches per month. Make a table of values and then write an equation for H, in terms of t, representing the height, in inches, of the plant tt months after Lucy bought the plant.

I need the equations

Answers

The equation for H, in terns of t, representing the height , in inches, of the plant tt months after Lucy bought the plant is :

H=12+2t

Given, A plant that Lucy had purchased was placed in a pot next to a window in her home. The plant initially stood 12 inches tall and grew at a rate of 2 inches per month.

from the given information, the equation can be framed as:

H = 12 +2t

where the initial height of the plant is increased at a rate of two inches every month.

from the table substitute the value of months in t, to find the height of the plant in that particular month.

t = 0

H=12+2(0)

H=12

hence when t=0 then H=12

t=1

H=12+2(1)

H=12+2

H=14

after a month the height of the plant changes to 14 inches.

t=2

H=12+2(2)

H=12+4

H=16

after two months the height changes to 16 inches.

t=3

H=12+2(3)

H=12+6

H=18

after three months the height changes to 18 months.

t=4

H=12+2(4)

H=12+8

H=20

finally after four months the height of the plant changes to 20 months.

hence we get the required equation as H=12+2t

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If I was asked to think of a number and multiply it by 2, I could write this algebraically as 2x. Write the following algebraically, using x as your unknown. "I think of a number, multiply it by 3, add 4 and square the result."​

Answers

Answer: (3x + 4)^2

Step-by-step explanation:

I think of a number => x

Multiply it by 3 => 3x

Add 4 => 3x + 4

Square the result => (3x + 4)^2

radius = 3 ¼ydlearning something about area of circle

Answers

Given that the radius of a circle is;

[tex]r=3\frac{1}{4}yd[/tex]

Recall that the area of a circle can be calculated using the formula;

[tex]A=\pi r^2[/tex]

substituting the value of r;

[tex]\begin{gathered} A=\pi(3\frac{1}{4})^2 \\ A=\pi(\frac{13}{4})^2 \\ A=\pi(\frac{169}{16}) \\ A=33.18yd^2 \end{gathered}[/tex]

Therefore

You pick a card at random, put it back, and then pick another card at random. 3 4 5 6 7 What is the probability of picking a divisor of 6 and then picking a number less than 5? Simplify your answer and write it as a fraction or whole number.

Answers

Probability = required outcome /all possible outcome

You have 5 cards on the deck. The exercise has reposition, i.e. you put the card back into the deck before picking the next one, so the total number of cards is always 5.

all possible outcome = 5

Divisor of 6 = 3, 6

Probability of picking a divisor of 6 = 2/5

Number less than 5 are : 3 and 4 = 2/5

The intersection between both events is equal to the product of both probabilities since the events are independent.

The probability of picking a divisor of 6 and then picking a number less than 5 is:

P(divisor of 6) and P(no.less than 5) = 2/5 * 2/5 = 4/25

Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?

v

Answers

Consequently, y = x + 2 is the equation for the line CD.

Points C(0, 2) and D are given (4, 6).

We must identify the equation of the line CD.

Given is the equation for the line through two points

[tex]\frac{y-y_{1} }{y_{1} - y_{2} } = \frac{x-x_{1} }{x_{1} -x_{2} }[/tex]

[tex]\frac{y-2}{6-2} = \frac{x-0}{4-0}[/tex]

y - 2 = x

x - y + 2 = 0

Consequently, y = x + 2 is the equation for the line CD.

What is the equation of the line?

The set of points that make up a line in a coordinate system is represented algebraically by a line's equation. An equation of a line is an algebraic expression that represents the many points that together make up a line in the coordinate axis as a set of variables, x, and y. We may determine if a given point lies on a line using the equation of any line.

The line's equation is a linear equation of degree one. Let's learn more about the various ways a line's equation may be expressed and how to calculate it.

The slope of the line and a point on the line may be used to create the equation of a line. To better comprehend how the equation for a line is formed, let's learn more about the line's slope and the necessary point on the line. The slope of the line, which can be stated as a numeric integer, fraction, or tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis. The coordinate system's point with the x coordinate and the y coordinate is referred to as the point.

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Blue and yellow dye are mixed in an 8: 3 ratio to make 44 litres of a green-coloured dye. A further 8 litres of yellow dye are added to the mixture. What is the new ratio of blue to yellow dye in its simplest form?

Answers

Answer: The new ratio of blue to yellow dye in its simplest form is 8/5.

Step-by-step explanation:

Blue and yellow dyes are mixed in an 8: 3 ratio to make 44 liters of a green-colored dye. A further 8 liters of yellow dye are added to the mixture. What is the new ratio of blue to yellow dye in its simplest form?

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Calculating the fraction of blue and yellow in the green dye,

Blue dye = 8/(3+8) * 44

Blue dye = 8/11 * 44

Blue dye = 32 liters

Similarly,

yellow dye = 3/11*44

yellow dye = 12

Now

Blue dye + yellow dye = 32+12 = 44

Now yellow dye is increased by 8 liters

the new volume fraction of yellow dye = 12+8

= 20

a fraction of blue dye remains the same,

the ratio of blue dye to new yellow dye in teal color.

= 32/20

=8/5

Thus, the new ratio of blue to yellow dye in its simplest form is 8/5.

Answer:

8/5

Step-by-step explanation:

Distribute property of 41×8

Answers

Using distribute property on 41×8 is 328.

What is the Distributive Property?

The distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC. This distributive law is also applicable to subtraction and is expressed as, A (B - C) = AB - AC. This means operand A is distributed between the other two operands.

We know that,

Distributive property is  A × (B + C) = AB + AC.

So, 41 × 8 is  41 × (5 + 3 ) = 41×5 + 41×3

                    41 × (5 + 3 ) = 205 + 123

                    41 × (5 + 3 ) = 328

Hence, using distribute property on 41×8 is 328.

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Several students use stopwatches to measure how quickly a sensitive plantreacts to stimuli. They record the times in milliseconds. Which kind of dataare the students recording?OA. Qualitative dataOB. Audio dataC. Quantitative dataOD. Categorical data

Answers

Given: Several students use stopwatches to measure how quickly a sensitive plant reacts to stimuli. They record the times in milliseconds.

Required: To determine which kind of data the students are recording.

Explanation: The given kinds of data can be summarized as follows-

→Qualitative data determines the quality of a single data. Example: The colour of cars in a parking lot.

→Audio data have the data in the form of audio. Example: The sound of different dogs barking.

→Quantitative data represents the quantity of some data. Example: Recording the number of the height of students in a class.

→Categorical Data represents the data of various categories. Example- Recording some person's age, sex, hair colour, etc.

Hence, measuring how quickly a sensitive plant reacts to stimuli is an example of Qualitative Data.

Final Answer: Option A (Qualitative Data) is correct.

Add 5/6+ 3/4 + 2/3 Simplify the answer and write it as a mixed number, if possible.2122O12

Answers

In order to add those fractions, we need to write them using a commom denominator. We can do so by finding a common multiple for the original denominators:

6, 4 and 3

Since 12 is a multiple of those three numbers, we can use 12 as a new denominator for each of the fractions:

5/6 = (5 * 2)/(6 * 2) = 10/12

3/4 = (3 * 3)/(4 * 3) = 9/12

2/3 = (2 * 4)/(3 * 4) = 8/12

Notice that 10/12 is equivalent to the the original fraction 5/6, because we obtained 10/12 by multiplying both the numerator and the denominator by the same factor. The same applies to the other pairs of fractions.

Now, we can add:

5/6 + 3/4 + 2/3 = 10/12 + 9/12 + 8/12

= (10 + 9 + 8)/12

= 27/12

Now, we can simplify the result by dividing both the numerator and the denominator by the same factor. Since both 27 and 12 are multiples of 3, we can write:

27/12 = (27 : 3)/(12 : 3)

= 9/4

Now, since 9 is greater than 4, we can write the fraction 9/4 as a mixed number:

9 = 8 + 1

= 2*4 + 1

9/4 = (2*4 + 1)/4

= 2*4/4 + 1/4

= 2 + 1/4

= 2 1/4 (using the notation of mixed number)

Solve this system of equations byusing the elimination method.x - 5y = 164x – 2y = -8([?],

Answers

Given:

There are given two equations:

[tex]\begin{gathered} x-5y=16...(1) \\ 4x-2y=-8...(2) \end{gathered}[/tex]

Explanation:

To find the value by using the elimination method, we need to multiply by 4 into the equation (1) and 1 into the multiply by (2):

Then,

From the equation (1):

[tex]\begin{gathered} 4(x-5y=16) \\ 4x-20y=64...(3) \end{gathered}[/tex]

And,

From the equation (2):

[tex]\begin{gathered} 1(4x-2y=-8) \\ 4x-2y=-8...(4) \end{gathered}[/tex]

Now,

From the equation (3) and equation (4):

[tex]4x-20y-64=4x-2y+8[/tex]

Then,

[tex]\begin{gathered} 4x-20y-64-4x+2y-8=0 \\ -20y-64+2y-8=0 \\ -18y-72=0 \\ -18y=72 \\ y=-4 \end{gathered}[/tex]

Now,

Put the value of y into the equation (3):

[tex]\begin{gathered} \begin{equation*} 4x-20y=64 \end{equation*} \\ 4x-20(-4)=64 \\ 4x+80=64 \\ 4x=64-80 \\ 4x=-16 \\ x=-4 \end{gathered}[/tex]

Final answer:

Hence, the value of x and y is shown below:

[tex](-4,-4)[/tex]

7- At the school car wash, Kelly washes a car in 13 minutes, and Libby washes a car in 17 minutes, How many more minutes does it take Kelly to wash a car alone than it takes Kelly and Libby to wash a car when working together? Express your answer as a decimal to the nearest tenth.

Answers

Kelly will take 5.64 minutes more to wash the car as compared to Kelly and Libby when they are working together

Time taken by Kelly to wash the car = 13 minutes

Time taken by Libby to wash the car = 17 minutes

Time taken by Kelly and Libby to wash the car together:

LCM of 13 and 17 is 221. So, the total work required to be done is 221 units

Hence, Kelly does 17 units of work each minute and Libby does 13 units of work each minute

If both work together, they will finish the work in = Total work required to be done/ Work done in a minute by Kelly + Work done in a minute by Libby

= 221/(17+13)

= 221/30 = 7.36 minutes

The extra time taken by Kelly working alone = 13-7.36  = 5.64 minutes

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Solve the inequality and graph the solution.

−2p + 4.5 < −2.9

number line with open circle plotted at 3.7 and arrow pointing right
number line with closed circle plotted at 3.7 and arrow pointing left
number line with open circle plotted at 3.7 and arrow pointing left
number line with closed circle plotted at 3.7 and arrow pointing right

Answers

The solution of the inequality −2p + 4.5 < −2.9 is number line with open circle plotted at 3.7 and arrow pointing right, the graph of the inequality  has been plotted.

The inequality is −2p + 4.5 < −2.9

Subtract 4.5 from both side

-2p + 4.5 - 4.5 <-2.9 - 4.5

-2p < -7.4

Divide both sides by -2

-2p/-2 < -7.4/-2

p > 3.7

Draw the graph using the result of the inequality

Hence, the solution of the inequality −2p + 4.5 < −2.9 is number line with open circle plotted at 3.7 and arrow pointing right, the graph of the inequality  graph has been plotted.

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Answer:

number line with open circle plotted at 3.7 and arrow pointing right

Step-by-step explanation:

hope this helps :)

Walnuts make up half of the nuts in this nut bread:

It has exactly 2 pecans

The number of walnuts is double the number of pecans.
Write an equation to show how many of each nut this nut bread contain.

Answers

An equation showing how many of each nut this nut bread contains is Y = 2p + 4w + 2t.

What is an equation?

An equation is a mathematical expression of equality between two variables or expressions.

Equations are shown using the equation mark, symbol, or sign (=).

The number of walnuts in the nut bread = 1/2

The number of pecan nuts = 2

The number of walnuts which is double of pecan nuts = 4 (2 x 2)

The number of other nuts = 2 since walnuts equal 1/2 of the nuts

The total number of nuts = 8 (2 pecan, 4 walnuts, and 2 others)

Let the number of nuts in the bread = Y

Let the number of walnuts, w = 4

Let the number of pecan nuts, p = 2

Let the number of other nuts, t = 2 (8 - 4 - 2)

Thus, the equation of each nut contained in the nut bread is Y = 2p + 4w + 2t.

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The diameter of a circle is 18 cm. Find its circumference in terms of T. Answer: C = om Submit Answer

Answers

Answer:[tex]C\text{ = 18}\pi[/tex]Explanations:

The circumference of a circle is given by the formula:

[tex]C\text{ = 2 }\pi\text{ r}[/tex]

The diameter of the circle, d = 18cm

Radius = diameter / 2

r = d/2

r = 18/2

r = 9 cm

[tex]\begin{gathered} C\text{ = 2}\pi(9) \\ C\text{ = 18}\pi \end{gathered}[/tex]

Get back to me if this was helpful or not.

Help me please this is due tn

Answers

1818.9 miles

To find how many miles can be drove with one gallon, divide 348.3 by 9. This should get you 38.7 mpg.

Since it already provides how many miles can be driven my 40, I’m just going to multiply 38.7 by 7 and add it to the 40.
38.7 x 7 = 270.9
270.9 + 1548 = 1818.9
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An automobile salesperson uses ________ when it accesses a mobile system to obtain the latest information on consumer demand for electric vehicles. Find B C, if B={2, 4, 6, 8} and C={3, 4, 5, 6} By coupling the release of energy from the breakdown of glucose to the synthesis of atp,. As a part of a lesson on earthquakes a science class is researching the movement if a nearby fault line. the line moved 3/5 of an inch during the past year and 7/8 of an inch the year before. how far did the fault line move in all? Look at the image. Which twobases bond together in DNA?A. Cytosine-UracilB. Cytosine-GuanineC. Cytosine-AdenineD. Cytosine-Thymine 8. Stavros has 22 coins in his piggy bank, all dimes and quarters. Altogether, thecoins are worth more than $3.40. At least how many coins are quarters? At most,how many of the coins are dimes? in a particular factory, a team leader is an hourly paid production worker who leads a small team. in addition to hourly pay, team leaders earn a fixed monthly bonus. team leaders are required to attend a minimum number of hours of training per year. design a teamleader class that extends the productionworker class you designed in programming challenge 1 (employee and production worker classes). the teamleader class should have member variables for the monthly bonus amount, the required number of training hours, and the number of training hours that the team leader has attended. write one or more constructors and the appropriate accessor and mutator functions for the class. demonstrate the class by writing a program that uses a teamleader object Excerpts from upton Sinclairs the jungle answer key How long would it take to drive 1km at a speed of 1.71km/h (with working) You are studying a gene that, when mutant, causes oligodendrocytes to enwrap sections of axon so that nodes of ranvier are more closely spaced. What is the likely effect on nerve impulses?. Waterways Corporation is a private corporation formed for the purpose of providing the products and the services needed to irrigatefarms, parks, commercial projects, and private lawns. It has a centrally located factory in a US city that manufactures the products itmarkets to retail outlets across the nation. It also maintains a division that performs installation and warranty servicing in sixmetropolitan areas.The mission of Waterways is to manufacture quality parts that can be used for effective irrigation projects that also conserve water.By that effort, the company hopes to satisfy its customers, perform rapid and responsible service, and serve the community and theemployees who represent them in each community.The company has been growing rapidly, so management is considering new ideas to help the company continue its growth andmaintain the high quality of its products.Waterways was founded by Will Winkman who is the company president and chief executive officer (CEO) Working with him fromthe company's inception is Will's brother, Ben, whose sprinkler designs and ideas about the installation of proper systems have been amajor basis of the company's success. Ben is the vice president who oversees all aspects of design and production in the company.The factory itself is managed by Todd Senter who hires his line managers to supervise the fargory employees. The factory makes all ofthe parts for the irrigation systems. The purchasing department is managed by Helen HinesThe installation and training division is overseen by vice president Henry Writer, who supervises the managers of the six localinstallation operations. Each of these local managers hires his or her own local service people. These service employees are trained bythe home office under Henry Writer's direction because of the uniqueness of the company's products.There is a small human resources department under the direction of Sally Fenton, a vice president who handles the employeepaperwork, though hiring is actually performed by the separate departments. Teresa Totter is the vice president who heads the salesand marketing area; she oversees 10 well-trained salespeople.The accounting and finance division of the company is headed by Ann Headman, who is the chief financial officer (CFO) and a companyvice president; she is a member of the Institute of Management Accountants and holds a certificate in management accounting Shehas a small staff of accountants, including a controller and a treasurer, and a staff of accounting input operators who maintain thefinancial records.A partial list of Waterways' accounts and their balances for the month of November follows.Accounts ReceivableAdvertising ExpensesCashDepreciation-Factory EquipmentDepreciation Office EquipmentDirect LaborFactory Supplies UsedFactory UtilitiesFinished Goods Inventory, November 30Finished Goods Inventory, October 31Indirect LaborOffice Supplies ExpenseOther Administrative ExpensesPrepaid ExpensesRaw Materials Inventory, November 30Raw Materials Inventory, October 31Raw Materials PurchasesRent-Factory EquipmentRepairs-Factory EquipmentSalariesSales RevenueSales CommissionsWork In Process Inventory October 31Work In Process Inventory, November 30$275,50054,400258,90016,7002,40041,60017,00010.20069,30072,10048,1001,70072,50041,40052,40038.200185,30047,2004,600324,9001345,90040,50052,20041.800 50% of the offspring's phenotypes will show the recessive trait.TrueFalse Jake got a part-time job to make some extra money. His goal was to make $150 per week. He was within $25 of his goal. If x represents Jakes earnings, write an equation that represents the minimum and maximum that he could have earned. In an organizational chart that shows how departments on a cruise ship are related, entertainment comes under thedeck departmentengine departmenthotel departmentshore department 21 -6 - NO a) D : {all real numbers}, R: {all real numbers Ob) D: {all real numbers), R; {y >0} O c) D: all real numbers), R: {y < 0} O d) D: {x>0}, R: {all real numbers how do i find the final areahint: i have to square my units Draw triangle QRS with altitude RT. If m/RSQ = 43, then find the m/TRS.Do not include a degrees symbol on your answer. Which of the following equations represents a line that passes through thepoints (-3, -14) and (0, 2)?Alg 1 1. Which of the following expressions can you factor using the reverse FOIL method? Select all that apply. (A) x+x-6 (B) x^3 + 3x+x-2 (C)4x^2 2x + 1 (D) x + 8x + 12 And why there two possible solutions to the equation, X over 2 = 100?