in exercises 10-11, find the value of x so that the function has the given value.

10. m(x) = -3/5x - 4; m(x) = 2
11. w(x) = 5/6x - 3; w(x) = -18

Answers

Answer 1

The value of x so the the the function has the given value is as follows:

m(x) = 2; x = - 10w(x) = - 18; x = - 18

How to find the value of the input of a function?

A function relates an input to an output.

In other words, a function is a special relationship among the inputs and their outputs codomain) where each input has exactly one output value.

Therefore, let's find the value of x so that the function has the given values.

m(x) = -3/5x - 4;  m(x) = 2

let's find the value of x when  m(x) = 2

2 = - 3/5x - 4

2 + 4 = - 3/5x

6 = - 3/5 x

cross multiply

-3x = 30

x = 30 / - 3

Hence,

x = - 10

w(x) = 5/6x - 3; w(x) = -18

let's find the value of x when  w(x) = -18

- 18 = 5/6x - 3

- 18 + 3 = 5 / 6 x

- 15 = 5 / 6 x

5x = - 90

x = -90 / 5

Hence,

x = - 18

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Related Questions

For which value of x is line n parallel to line m?

Answers

Answer:

x is 70°

hopefully this will help u


Zahra and some friends are going to the movies. At the theater, they sell a bag of
popcorn for $3.50 and a drink for $5. How much would it cost if they bought 8 bags
of popcorn and 5 drinks? How much would it cost if they bought p bags of popcorn
and d drinks?
Total cost, 8 bags of popcorn and 5 drinks:
Total cost, p bags of popcorn and d drinks:

Answers

The total cost is 53

7. Wanda's Widgets used market surveys and linear regression to develop a demand function based on the wholesale price. The demand function is q = -140p + 9,000. The expense function is E = 2.00q + 16,000.
a. Express the expense function in terms of p.
b. At a price of $10.00, how many widgets are demanded?
c. How much does it cost to produce the number of widgets from part b?

I am so confused on how to answer these 3 sections, so if anyone could help I would really appreciate it!! ​

Answers

a. The expense function in terms of p is  - 280p + 34, 000

b.  At a price of $10.00, 7, 600 widgets are demanded

c.  It costs  $31, 200 to produce the number of widgets from part b

How to determine the values

We have that;

The demand function is q = -140p + 9,000The expense function is E = 2.00q + 16,000

To express the expense function in terms of p, we have to take the following steps;

Substitute the value of q in the demand function into the function for the expense, we get;

Expense function = 2( -140p + 9,000) + 16, 000

Now, expand the bracket, we get;

Expense function = - 280p + 18, 000 + 16, 000

collect and add like terms

Expense function = - 280p + 34, 000

If p = $10. 00

Then,

Demand function is q = -140(10) + 9,000

expand the bracket

q = - 1400 + 9, 000

q = 7, 600

Substitute q in expense function

E = 2.00q + 16,000

E = 2. 00(7600) + 16, 000

E = $31, 200

Hence, the expense function is - 280p + 34, 000

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How do I calculate the area and perimeter of this triangle?

Answers

Step-by-step explanation:

to find the perimeter first:

13×3=39

13×3=39

5×3=15

5×3=15

39+39+15+15=108

P=108

i hope it's useful

WILL GIVE BRAINLIEST PLEASE HELP!!!!
A cat runs 10 meters north, sees a dog and runs 2 meters back south. It then runs 6 meters west. What is the displacement of the cat and the total distance it ran?

Answers

Answer:

The cat is at at  8 north 6 west

Step-by-step explanation:

The cat ran a total of 14 meters

A number x is such that dividing the number by 5 and then adding 2 gives the same outcome as adding 22 and then dividing by 10. Write down and solve an equation satisfied by x. Enter your answer in the box below as a number, rounded to one decimal place if necessary.​

Answers

Answer:

  x = 2

Step-by-step explanation:

You want x such that dividing by 5 and then adding 2 gives the same outcome as adding 22 and then dividing by 10.

Setup

  (x/5) +2 . . . . the value after dividing by 5 and adding 2

  (x +22)/10 . . . . the value after adding 22, then dividing by 10

These two outcomes are the same:

  x/5 +2 = (x +22)/10

Solution

Multiplying the equation by 10 gives ...

  2x +20 = x +22

  x = 2 . . . . . . . . . . . . subtract x+20

The number is x = 2.

__

Additional comment

The outcome in each case is 2.4.

What happened to the native economies and cultures of Asia, Africa, and the Americas as a result of the Age of
Exploration?

Answers

They joined together to resist the attempts of Europeans to change them.

What was the Age of Exploration What major changes did it cause in the world?People have been captivated by global exploration and learning about new locations and civilizations for thousands of years. Traveling by sea was historically one of the most effective methods of globetrotting. Greeks in antiquity to medieval SpanishKings, because it provided the possibility of new business ventures and trade routes, exploration was a top priority for governments. Spanish ships, for instance, could travel to China and return with Chinese spices and silks (which were not accessible in continental Europe) to sell in Spanish marketplaces.In order to avoid deviating from their intended course, early explorers used a navigational system known as "dead reckoning," which involves calculating their position based on previous positions (such as landmasses). However, this technique may not be an exact science. Exploration became increasingly crucial as far as Europe's economic interests were concerned.Innovative tools that made exploration simpler and more accurate were created.

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The face value of a simple discount note is $17,000. The discount is 4% for 160 days. Calculate the following. a. Amount of interest charged for each note. (Round your answer to the nearest cent.) b. Amount borrower would receive. (Round your answer to the nearest cent.)

Answers

The amount of interest to be charged on the note, based on the face value of the note, is $302. 22.

The amount the borrower would receive is $16, 697. 78.

How to find the interest charged?

The interest charged on the simple discount note can be found by the formula:

= Face value of note x discount rate x number of days / total days in a year

= 17, 000 x 4% x 160 / 360

= $302. 22

The amount that the borrower would receive is then:

= Face value of note - Interest charged on note

= 17, 000 - 302.22

= $ 16, 697. 78

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What is 4/5 ÷ 1/3? The quotient is 2 and​

Answers

Answer:4/5 : 1/3=4/5 x 3/1=12/5

Step-by-step explanation:

Answer:

12/5

Step-by-step explanation:

If you set it in the calculator 4/5 ÷ 1/3 you get = 12/5

was it helpful?

What is tan 67 degrees

Answers

The tan of 67 degrees is 2.35585236582

I need help please answer

Answers

f(a+4)=fa+4f


hhhhhhhhhhh

suppose v varies directly as g,and v=36 when x=4.Find v when g=11

Answers

Answer:

v = 99

Step-by-step explanation:

given v varies directly as g then the equation relating them is

v = kg ← k is the constant of variation

to find k use the condition v = 36 when g = 4 , then

36 = 4k ( divide both sides by 4 )

9 = k

v = 9g ← equation of variation

when g = 11 , then

v = 9 × 11 = 99

8x^(3)-27=0

find the roots of x

Answers

Answer:

[tex] \sf Root \: of \: x \: are \: \dfrac{3}{2} \: and \: \dfrac{ - 6 \pm \sqrt{ - 108} }{8} [/tex]

Step-by-step explanation:

[tex] \rm \implies 8 {x}^{3} - 27 = 0 \\ \\ \rm \implies (2 \times 2 \times 2) {x}^{3} - (3 \times 3 \times 3) = 0 \\ \\ \rm \implies {(2x)}^{3} - {3}^{3} = 0 \\ \\ \boxed{ \rm {a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} )} \\ \\ \rm \implies (2x - 3)( {(2x)}^{2} + (2x)(3) + {3}^{2} ) = 0 \\ \\ \rm \implies 2x - 3 = 0 \: and \: 4 {x}^{2} + 6x + 9 = 0 \\ \\ \rm \implies x = \frac{3}{2} \: and \: x = \frac{ - 6 \pm \sqrt{36 - 144} }{8} \\ \\ \rm \implies x = \frac{3}{2} \: and \: x = \frac{ - 6 \pm \sqrt{ - 108} }{8} [/tex]

Car A is travelling east at a steady speed .......

Answers

Answer:

for 20 miles per hour

Step-by-step explanation:

.

The slide at the playground has a height of 9 feet. The base of the slide measured onthe ground is 12 feet. What is the length of the slide?
O 15 feet
O 45 feet
21 feet
36 feet

Answers

Step-by-step explanation:

this creates a right-angled triangle, with the length of the slide being the Hypotenuse (the side opposite of the 90° angle), and height and base are the legs.

so, we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse, a and b being the legs.

length² = 9² + 12² = 81 + 144 = 225

length = sqrt(225) = 15 ft

quotient of 2÷ 3/7 iready

Answers

Answer:

6/7

Step-by-step explanation:

2÷3/7=2*3/7

6/7

You are supposed to flip the second fraction and multiply so the correct answer is 4 2/3

Please help me with these questions

Answers

The rate of change of the linear functions given in tabular form and equations are found as follows;

1. a. The rate of change of the function is 5

b. The rate of change of the function is 7

c. The rate of then function is 0.75

d. The function has a rate of change of -8

2. The rate of change of the function of -4, indicates that each unit increase in the input value results in 4 unit decrease in the output values

b. The number of days it took for the patients blood sample to have 360 antibodies is 13 days

c. The rate of change of the function is 20, which indicates that the antibody in the patients blood is increasing at a rate of 20 antibodies each day

What is the rate of change of a function?

The rate of change of a function is a measure of how much the output changes per unit change in the input.

1. The rate of change of the functions are as follows;

a. The first difference of the y-values is constant, therefore the function is a linear function

The formula for the rate of change of the linear function is presented as follows;

[tex]m = \dfrac{y_2-y_1}{x_2 - x_1}[/tex]

The rate of change of the function is therefore;

[tex]\dfrac{\Delta y}{\Delta x} = \dfrac{-3 - (-8)}{1 - 0} = 5[/tex]

b. The first difference is constant and equal to 7, the rate of change of the straight line function is therefore;

[tex]\dfrac{\Delta y}{\Delta x} = \dfrac{49-42}{1-0} = 7[/tex]

The rate of change of the function is 7 unit changes in the y-value per unit change in the x-values

c. The function is a linear function, as the first difference is constant and equal to 0.75

The rate of change of the function is therefore;

[tex]\dfrac{\Delta y}{\Delta x} = \dfrac{2.25-1.5}{-4-(-5))} = 0.75[/tex]

The rate of change of the function is 0.75

d. The first difference is constant and equal to -8

The rate of change of the straight line function is therefore;

[tex]\dfrac{\Delta y}{\Delta x} = \dfrac{5 - 13}{1 - 0} = -8[/tex]

The rate of change of the function is -8

2. a. The rate of change of the function, y = -4·x + 1 is found by taking the slope of the function

The function is the equation of a straight line, of the form, y = m·x + c with the slope, m = -4

The rate of change of the function is -4, such that for each unit increase in the input value, the output value decreases by 4 units

b. When the number of antibodies is 360, we have;

360 = 20·d + 100

20·d = 360 - 100 = 260

d = 260 ÷ 20 = 13

It would take 13 days for the patients blood to have 360 antibodies

c. The rate of change of the function means that the number of antibodies the drug produces in the patients body each day is 20 antibodies.

3. The function that gives the amount of antibodies in the body is a = 20·d + 100

d = The number of days

a = The number of antibodies

a. The table is completed as follows;

Data for Medicine A

d    [tex]{}[/tex]                  a

0    [tex]{}[/tex]                  100

1    [tex]{}[/tex]                   120

2    [tex]{}[/tex]                  140

3    [tex]{}[/tex]                  160

4    [tex]{}[/tex]                  180

5    [tex]{}[/tex]                  200

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Which expression is equivalent to 3x – 5?

Answers

Answer:

2x – 4 – 1 + x

Step-by-step explanation:

Answer:

Step-by-step explanation:  -15

Pls help me, giving brainliest 50 POINTS!

Pls show your work and not only your answers pls

If you can’t answer it then don’t answer but if you can thank you

You will be reported if you put links

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

[tex] \textsf{1. Numbers are : 36, 3, 12 } [/tex]

[tex] \textsf{36 = 2 × 2 × 2 × 2 × 2 × 1} [/tex]

[tex] \textsf{3 = 3 × 1 } [/tex]

[tex] \textsf{12 = 2 × 2 × 3 } [/tex]

[tex] \textsf{HCF = product of total common factors of} [/tex][tex] \textsf{all three numbers, i.e : 2 } [/tex]

[tex] \textsf{LCM = product of highest power of each factor } [/tex][tex] \textsf{present in any three of them,} [/tex][tex] \textsf{i.e : 2⁵ × 3 = 32 × 3 = 96} [/tex]

Similarly,

[tex] \textsf{2. Numbers are : 6, 54, 12} [/tex]

[tex] \textsf{6 = 2 × 3 } [/tex]

[tex] \textsf{54 = 2 × 3 × 3 × 3 } [/tex]

[tex] \textsf{12 = 2 × 2 × 3 } [/tex]

[tex] \textsf{GCD = 2 × 3 = 6 } [/tex]

[tex] \textsf{[ 2 and 3 are the only ones common} [/tex] [tex] \textsf{among all three ]} [/tex]

[tex] \textsf{LCM = 2² × 3³ = 4 × 27 = 108} [/tex]

[tex] \textsf{3. Numbers are : 16, 8, 12 } [/tex]

[tex] \textsf{16 = 2 × 2 × 2 × 2} [/tex]

[tex] \textsf{8 = 2 × 2 × 2 } [/tex]

[tex] \textsf{12 = 2 × 2 × 3 } [/tex]

[tex] \textsf{GCD = 2 × 2 = 4 } [/tex]

[tex] \textsf{LCM = 2⁴ × 3 = 16 × 3 = 48} [/tex]

Answer:

Numbers are : 36, 3, 12

36 = 2 × 2 × 2 × 2 × 2 × 1

3 = 3 × 1

12 = 2 × 2 × 3

HCF = product of total common factors of all three numbers, i.e : 2

LCM = product of highest power of each factor present in any three of them, i.e : 2⁵ × 3 = 32 × 3 = 96

Similarly,

2. Numbers are : 6, 54, 12

6 = 2 × 3

54 = 2 × 3 × 3 × 3

12 = 2 × 2 × 3

GCD = 2 × 3 = 6

[ 2 and 3 are the only ones common among all three ]

LCM = 2² × 3³ = 4 × 27 = 108

3. Numbers are : 16, 8, 12

16 = 2 × 2 × 2 × 2

8 = 2 × 2 × 2

12 = 2 × 2 × 3

GCD = 2 × 2 = 4

LCM = 2⁴ × 3 = 16 × 3 = 48

George invest $500 in his friend's startup company. his friend agrees to give him 8% of the original investment each year for the next 3 years. write a linear function for this situation.

Answers

The linear function for the situation is :-

Amount at the end of 3 years = Original investment + original investment*Rate*Time/100

It is given in the question that:-

Investment of George's friend in startup company = $ 500.

Interest percent = 8 %

Time period of investment = 3 years

We have to find the linear function for this situation.

As this interest is on original investment, the interest will be simple.

Hence,

The linear function for the situation will be :-

Amount at the end of 3 years= Original investment + original investment*Rate*Time/100

Amount at the end of 3 years = 500 +  500*8*3/100 = 500 + 120 = $ 620

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Drag each expression to the correct location on the table.
Match each expression to its simplified form.

Answers

Answer:

3x-3:

(1/3)(9x-9)

(9/2x - 2) -(3/2x +1)

(3/2x-2) + (3/2x-1)

2x-1:

(7/2 x -2) - (3/2 x - 1)

1/2(4x-2)

Step-by-step explanation:

(7/2 x -2) - (3/2 x - 1)

7/2 x -2 -3/2 x +1 Distribute the negative sign to both terms

4/2 x -1 Combine like terms

2x-1

(1/3)(9x-9)

3x-3 Distributive property

(9/2x - 2) -(3/2x +1)

9/2x -2 -3/2x -1 Distribute negative sign

6/2x -3

3x-3

(3/2x-2) + (3/2x-1)

3/2x -2 +3/2x -1 Can just get rid of parenthesis since everything is added.

6/2x -3

3x-3

1/2(4x-2)

2x-1 Distribute the 1/2 to both numbers

Determine when the function is positive, negative, increasing, or decreasing.

Answers

The function is positive and increasing from 0 to 2.5, at negative and decreasing  from 0 to -2.5,  respectively.

How to find returns to scale?

Returns to scale involves an increase in an output more than when all the inputs increase proportionately.

Using the graph, there is a line segment from the origin to a point. at the middle of the third block making 2.5.  this shows an increase which is positive and on the other hand, there is a line segment from the origin towards left hand side on the number line showing a decrease and a negative from 0 to -2.5.

In conclusion, the line pointing upwards towards right hand side shows both positive and increase while the line pointing leftward shows decrease and negative.

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How do I solve this question ​

Answers

Answer: [tex]6/(x-7) +( -5)/(x-5)[/tex]

Step-by-step explanation:

Let

   [tex](x+5)/(x-7)(x-5) = A/(x-7) +B/(x-5)[/tex]

⇒[tex](x+5)/(x-7)(x-5)=( A(x-5) +B(x-7))/(x-7)(x-5)[/tex]

Comparing both the sides

[tex](x+5)= A(x-5)+B(x-7)\\x+5=Ax-5A+Bx-7B\\x+5= (A+B)x + (-5A-7B)\\[/tex]

Comparing both sides of the equation we get,

[tex]A+B= 1[/tex]   ....eq(1)

[tex]-5A-5B=5[/tex]   ..... eq(2)

solving eq(1) and eq(2),

we get B=-5 and A=6.

Hence the solution is [tex]6/(x-7) +( -5)/(x-5)[/tex]

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CLASSIFYING A FUNCTION. Is the function represented by the ordered pairs linear or nonlinear? Explain your reasoning.

Answers

The function is nonlinear because as x increases by 1, y increases by different amounts. The rate of change is not constant. This would be an exponential function

QUESTION 1
1 POINT
To study whether there is a correlation between regular exercise and sleep, a researcher randomly selected 100 people who
exercise regularly and 100 people who do not exercise regularly, and compared how many hours they sleep at night, on
average.
Is the study observational or experimental? If it is an experiment, what is the controlled factor?
Select the correct answer below:
The study is an experiment. The controlled factor is the amount of sleep.
O The study is an experiment. The controlled factor is the amount of exercise.
The study is an observational study.
O The study is an experiment. The controlled factor is the survey.

Answers

Since the researcher randomly selected 100 people who exercise regularly and 100 people who do not exercise regularly, and compared how many hours they sleep at night, on average: C. the study is an observational study.

What is an observational study?

An observational study can be defined as a type of scientific study in which a researcher observes and measures the effect of a diagnostic test, risk factors, and specific treatments on individuals without intervening, manipulating, altering, or changing those who are or aren't exposed to it (controlled conditions).

In Science, a controlled variable must always be held constant and unchanged in an experiment in order to prevent it from affecting or influencing the result, which is not applicable to this research.

In conclusion, we can logically deduce that this research is an observational study because people (participants) were chosen through an appropriate process, however, no attempt was made to control any aspect of the people (participants), even though the variable of interest (exercise) was recorded for one of the group.

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write 10 forms for 1 over 8 as you can think of, be creative and use positive and negative powers or other forms of number.

Answers

The 10 forms 1/8 can be written is as follows;

1/81 ÷ 81/2³1/√64[tex]{8}^{ - 1} [/tex][tex]{√64}^{ - 1} [/tex]1 : 8[tex]{2}^{ - 3} [/tex]2/164 : 32

How to write 1/8 in different forms?

A fraction refers to a number which consists of a numerator and a denominator.

A numerator is the upper value of a fraction.

A denominator is the lower value of a fraction.

1 over 8 can be written in the following ways;

1/8

1 ÷ 8

1/2³

= 1 / 2×2×2

= 1/8

1/√64

= 1/8

[tex]{8}^{ - 1} [/tex]

= 1/8

1 : 8

= 1/8

[tex]{√64}^{ - 1} [/tex]

= 1/√64

= 1/8

[tex]{2}^{ - 3} [/tex]

= 1/2³

= 1/8

2/16

= 1/8

4 : 32

= 4/32

= 1/8

In conclusion, 1/8 can be written in different forms including using square root and ratios.

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For what value of x is g(x) = 2

Answers

Answer:

x = 2

Step-by-step explanation:

For the function g(x) to have to equal only 2, that would have to be for the input, x, to be 2 itself considering there's no equation given.

Hope this helps!

Plot the following numbers on the number line: -3 1/2 1 3/4

Answers

A number line which shows -3, 1/2, 3/4, and 1 correctly plotted on a graph is shown in the image attached below.

What is a number line?

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0). Therefore, the numerical value -3 would be plotted on the left hand side of zero (0) while the numerical values 1/2, 3/4, and 1 would be plotted on the right hand side of zero (0) using a number line.

In conclusion, a number line has been used for the comparison of the given numerical values, and they are plotted on the number line shown in the image attached below.

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Two times the sum of a number and 3 is 8.
Use the variable c for the unknown number.
My answer is : 2(c+3)=8
The " is" throwing my brain off, thanks so much

Answers

Two times or Twice the sum of a number and 3 is 8. The value of the number will be 1.

Let the value of the unknown number or variable be c.

Given,

"Two times the sum of a number and 3 is equal to 8", which means when you add the unknown number with 3 and then multiply it by 2, then the final answer will come as 8.

If we form the statement into an equation, then finding the value of the unknown variable will be a lot easier.

The equation will be:

    2(c + 3) = 8

=> 2c + 6 = 8

=> 2c = 8- 6

=> 2c = 2

=> c = 2/2

=> c = 1.

Hence, the value of the unknown number c will be 1.

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Contains the points (5, 3) and (8, 12); slope-intercept form

Answers

Answer:

y = 3x + 12

Step-by-step explanation:

y = mx + b  
The m is the slope and the b is the y intercept.

Slope:

Change in y over the change in x.  The ordered pair is written in the form (x,y)

[tex]\frac{12-3}{8-5}[/tex] = [tex]\frac{9}{3}[/tex] = 3

The slope is 3.

Use the slope of the 3 and the x and y from one of the ordered pairs given.  I am going to use the point (5,3), but either point will work

slope 3

x = 5

y=3  Plug these all in and solve for b

y = mx + b

3 = (3)5 + b

3 = 15 + b  Subtract 15 from both sides

-12 = b

This is the y intercept

y = 3x - 12

Answer:

Slope-intercept form,

→ y = 3x - 12

Step-by-step explanation:

Formula we use,

→ y = mx + b

The value of slope will be,

→ m = (y2 - y1)/(x2 - x1)

→ m = (12 - 3)/(8 - 5)

→ m = 9/3

→ [ m = 3 ]

Then the value of b will be,

→ y = mx + b

→ 12 = (3)8 + b

→ b + 24 = 12

→ b = 12 - 24

→ [ b = -12 ]

Now the slope-intercept form is,

→ y = mx + b

→ [ y = 3x - 12 ]

Hence, the answer is y = 3x - 12.

Other Questions
five years ago, lee drank some milkshake and then went on a roller-coaster ride in an amusement park. after a while, he got sick and started vomiting. even now, lee refuses to drink milkshakes because every time he drinks one, he feels nauseous. in this learned association, the milkshake serves as a(n) for lee. Hey, I haven't been able to get any of these right, I wasn't a there the day we learned this and i'm needing help getting the rest of it done before 3:00. Could any of you please help me out on this, it'd mean a lot! consider this) suppose voters pass laws that restrict immigration, which results in lower national output and higher prices for consumer goods. this would be an example of the responsibility for positive relationships in the workplace is placed on the hr department. group startstrue or false can somone help me pls binding of the signaling molecule epinephrine to its receptor results in * 10 points a) increased concentrations of cyclic amp in the cytoplasm. b) lower blood glucose levels. c) activation of a steroid hormone receptor inside muscle cells. d) inactivation of the enzyme glycogen phosphorylase. How many formula units of NaCl are there in a 10. 95 mole sample of sodium chloride starting from rest, you drive down a street. when accelerating from 15 mph to 30 mph, your change in kinetic energy is your change in kinetic energy from 0 to 15 mph. a) one third b) one half c) equal to d) two times e) three times Your factory has been offered a contract to produce a part for a new printer. The contract would last for years and your cash flows from the contract would be million per year. Your upfront setup costs to be ready to produce the part would be million. Your discount rate for this contract is. A. What does the npv rule say you should do? b. If you take the contract, what will be the change in the value of your firm?. answer please will give 20 points which of the following is an example of a long-run fixed cost? group of answer choices none of these are examples; there are no fixed costs in the long run mortgage payments. payments for production inputs. hourly wage costs. two-species interactions are classified by the impact each species has on the other. thus, a competitive interaction is one where the populations of each species are hut by the presence of the other species, usually because each species uses the same resources. niche patitioning enables species to coexist by 3b(2x-z^3)=2h-7gx change the subject to x The scatter graph shows the maximum temperature and the numbers of hours of sunshine in 13 British towns in one day.A line of best fit has also been drawn.One of the points in an outliner.a) Write down the coordinates of this point. (1)b) For all the other points write down the type of correlation in just one word. (1)On the same day, in another British town, the maximum temperature was 17.4C.c) Estimate the number of hours of sunshine in this town on this day. (2)You must use the drawing tool to show how the line of best fit has been used to get your answer.A weatherman says that temperatures are lower on days when there is less sunshine.d) Does the scatter graph support this? (1)A yes B no C can't sayTotal marks: 5 Why is it important that ions being transported across a cell membrane be shielded from the interior. Pls help/ A function (x) is graphed on the coordinate plane.What is the function rule in slope-intercept form?Enter your answer in the box.f(x)= In STU, TU = 11, US = 17, and ST = 18. Which statement about the angles of STU must be true? What might be the benefit of setting up a recurring payment through online bill pay?. 2. The United States has not always beenwelcoming to immigrants. Provide at leastone example of a policy, either past orpresent, that has helped to reinforcexenophobia in America. Be specific inyour discussion including dates and theimpact on a specific immigrant group.(Compose 2-3 sentences) Adam has 6 cookies less thanTony, there are a total of 15 cookies between both of them.How many cookies does Tonyhave?