HELP please, Domain & range

HELP Please, Domain & Range

Answers

Answer 1

Answer:

0 < S <= 30

3500 < C <= 7400

Step-by-step explanation:

the domain is the interval of values for x (the input variable), for which the function is defined valid to process them.

the range is the interval of y values, the possible results of the function.

as the question writes, C is a function of S. so, our input variable is called S (instead of the usual x).

C(S) = 130S + 3500

this function will be valid for what values of S ?

given the context, are negative values ok for S ?

no, negative transportation amounts don't make sense here.

is 0 a valid value ?

no, they would be driving an empty transport.

and it is said that they can transport up to 30 tons.

so, our S can only be in the interval 0 < S <= 30

that is the domain of the function describing the amount of sugar transported.

the range is now the functional value interval, the interval for y, the calculated cost for transported sugar.

it starts with the smallest possible value, which we simulate by using x=0 again (which is just outside of our valid domain, but really only "just", as everything bigger than 0, no matter how small, is valid).

C(0) = 130×0 + 3500 = 3500

the range starts there but excludes that particular value, as we excluded 0 in the domain.

and the biggest value for the function is clearly, when they transport the maximum capacity : 30 tons.

C(30) = 130×30 + 3500 = 3900 + 3500 = 7400

so, the range is

3500 < C <= 7400


Related Questions

A farmer wants to build a rectangular fence to enclose a 144\ \textup{ft}^2 yard. If the yard is square, how many feet of fence will he need?

Answers

Answer:

12* 12 = 144

thus 4*12 = 48 feet of fence

Step-by-step explanation:

I need help guys thanks so much

Answers

Answer:

A.  243

Step-by-step explanation:

[tex] 81^\frac{5}{4} = (3^4)^\frac{5}{4} = 3^{4 \times \frac{5}{4}} = 3^5 = 243 [/tex]

Answer: A

I just simplified it to 3^5, and that is also 243.

What is the measure of angle BCD? 146° O 250 O 40° D o 140° 1490 c O 1550​

Answers

Answer: I think the correct answer is 40 but I am not sure.

Step-by-step explanation:

Answer: 40

The angle measure of BCD is m∠BCD = 140°.

What is an interior angle?

Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three internal angles. Interior angles are sometimes defined as "angles confined in the interior area of two parallel lines when they are crossed by a transversal."

Given that a quadrilateral ABCD.

To find the angle measure of BCD,

first, we find the other interior angle with supplementary angles.

m∠DAB = 180 - 25 = 155°

m∠ABC = 180 - 146 = 34°

m∠ADC = 180 - 149 = 31°

And the total sum of the interior angles of a quadrilateral is 360°

So, m∠BCD = 360 - (34 + 31 + 155)

m∠BCD = 140°

Therefore, m∠BCD = 140°.

To learn more about the interior angles;

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what is twice the amount of 86

Answers

Answer:

172

Step-by-step explanation:

[tex]86[/tex] × 2 = 172

172, if you take 86 and multiply it by 2 it will give you 172. Basically do this-

For the function h defined by h(x) = 2x2 – 2, find h(-1/2).

Answers

The choose C. –1.5

I hope I helped youI hope ^_^

If f(x)=-4x-5 and g(x)=3-x whats is g(-4)+f(1)

Answers

Answer: -2

Step-by-step explanation:

g(-4) = 3 - (-4) = 3 + 4 = 7f(1) = -4(1) - 5 = -4 - 5 = -9

g(-4) + f(1) = 7 + (-9) = 7 - 9 = -2

A box of 8 marbles has 4 red, 2 green, and 2 blue marbles. If you select one marble, what is the probability that it is a red or blue marble.

Answers

Answer:

3/4

Step-by-step explanation:

add the no. of red marbles and blue marbles

2+4 = 6

Probability so divide 6/8 simplified to 3/4

Mixture Problem A solution contains 15 milliliters of HCI
and 42 milliliters of water. If another solution is to have
the same concentration of HCl in water but is to contain
140 milliliters of water, how much HCI must it contain?

Answers

Answer:

Step-by-step explanation:

This is a straight proportion problem.

15/42 = x/140                 Cross Multiply

15*140 = 42 * x

2100 = 42x                    Divide by 42

2100/42 = x            

x = 50 ml of HCl will be needed.

In the past, Alpha Corporation has not performed incoming quality control inspections but has taken the word of its vendors. However, Alpha has been having some unsatisfactory experience recently with the quality of purchased items and wants to set up sampling plans for the receiving department to use. For a particular component, X, Alpha has a lot tolerance percentage defective of 52 percent. Zenon Corporation, from which Alpha purchases this component, has an acceptable quality level in its production facility of 20 percent for component X. Alpha has a consumer's risk of 10 percent and Zenon has a producer's risk of 5 percent. a. When a shipment of Product X is received from Zenon Corporation, what sample size should the receiving department test

Answers

Answer:

The answer is "28"

Step-by-step explanation:

[tex](LTPD) = 52\%\\\\(AQL) = 20\%\\\\\to \frac{LTPD}{AQL} = \frac{52\%}{20\%}= 2.6\\\\[/tex]

The value of [tex]\frac{LTPD}{AQL} = 2.6[/tex] that value of [tex]\frac{LTPD}{AQL} = 2.618[/tex]

Acceptance number, [tex]c = 9[/tex]

Value of [tex]n\times AQL = 5.426[/tex]

Sample size [tex]n = n\times \frac{AQL}{AQL} =\frac{5.426}{20\%} = 27.13=28[/tex]  

Chris is buying new wood flooring for his house. The cost depends on the area of the floors.
Which is the dependent variable, and which is the independent variable?

Answers

Answer:

strong and fexible .

variable

14 80 tiles of side 30cm were used to cover a counter top. Calculate the area of the counter top in square metres.​

Answers

Answer:

Step-by-step explanation:

1,480 is a lot of tiles. Did you mean 80 tiles?

30 cm = 0.3 m

Area of one tile = 0.3² m² = 0.09 m²

Multiply the number of tiles by 0.09 m².

Last question guys! Help help help

Answers

9514 1404 393

Answer:

slope 125, annual dues payment

Step-by-step explanation:

The two given points can be used to find the slope:

  m = (y2 -y1)/(x2 -x1)

  m = (650 -400)/(4 -2) = 250/2 = 125

The vertical axis is cost, and the horizontal axis is years, so the slope is the ratio of these: cost per year.

The slope of $125 per year is the yearly membership dues cost.

Which fraction is equivalent to 3/-5? Please help ASAP

Answers

Answer:

-3/5

Step-by-step explanation:

3/ -5 is also equal to -3/5  or - (3/5)

Round number to nearest tenth

Answers

Answer:

a= 13.5

c=18.7

B= 46

Step-by-step explanation:

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the binomial quadratic expressions with their factored form.

Answers

Answer:

x²-36 and (x-6)(x+6)

9x-1 and(3x-1)(3x+1)

4x² -16 and 4(x-2)(x+2)

Step-by-step explanation:

when you multiply(x+6)(x-6)

you get x²-36,this is known as difference of two squares ie (a+b)(a-b)=(a²-b²)=0

x(x-6)+6(x-6)

x²-6x+6x-36

x² -36

the second the same explanation as the first

for the third, multiply (x+2)(x-2) it will give x²-4

then multiply this by 4 which is = 4x² - 16

There is a swimming pool which has a length of 15 m and a width of 12 m. There is a 2 m wide path around the pool. If the cost of the path is $5 per , what is the cost of the path? Use words, numbers, and/or symbols to justify your answer.

Answers

Answer:

15m+12m+15m+13m=54m

2m×12m=24m

In the diagram below, ΔABC ≅ ΔDEF. Complete the statement AB¯¯¯¯¯¯¯¯≅ __

A. BC
B. DF
C. FE
D. DE

Answers

Answer:

The answer would be D. DE

Step-by-step explanation:

same prob

Congruent triangles are exact same triangles, but they might be placed at different positions. The correct option is D.

What are congruent triangles?

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]

(|AB| denotes the length of line segment AB, and so on for others).

Given that ΔABC ≅ ΔDEF. Therefore, the given sentence can be completed as AB ≅ ΔDE.

Hence, the side AB ≅ ΔDE

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Please answer this and show the work/explain.
2/7m - 1/7 = 3/14

Answers

I hope this is correct. I’m not exactly sure.

A circular pizza has a diameter of 12 inches and is cut into 10 congruent slices. What is the area of each slice, to the nearest tenth?
Group of answer choices

14.4 straight pi inches squared

3.6 straight pi inches squared

2.4 straight pi inches squared

12.4 straight pi inches squared

Answers

Diameter=12inradius=r=12/2=6in

[tex]\\ \sf\longmapsto Area=2\pi r[/tex]

[tex]\\ \sf\longmapsto Area=2(3.14)\times 6[/tex]

[tex]\\ \sf\longmapsto Area=2(18.84)[/tex]

[tex]\\ \sf\longmapsto Area=37.68in^2[/tex]

Now area of each slice

[tex]\\ \sf\longmapsto \dfrac{37.68}{12}[/tex]

[tex]\\ \sf\longmapsto 3.6in^2[/tex]

The area of each slice of the pizza will be 3.6π square inches. The correct option is B.

What is the area of the sector?

The circle is defined as the locus of the point traces around a fixed point called the center and is equidistant from the out trace.

It is given that a circular pizza has a diameter of 12 inches and is cut into 10 congruent slices.

Let r is the radius of the sector and θ be the angle subtends by the sector at the center. Then the area of the sector of the circle will be

Area = (θ/2π) πr²

angle = 2π/10

The area will be calculated as below:-

Area =  (2π/10)/2π) πr²

Area =  ( π x 6 x 6 ) / 10

Area = 3.6π square inches

Therefore, the area of each slice of the pizza will be 3.6π square inches. The correct option is B.

More about the area of the sector link is given below.

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Mark is investing $8,000 in an account paying 5.5% interest compounded daily. What will Mark's account balance be in 6 years?​

Answers

Picture is the answer

Find two consecutive even numbers whose sum is 758.

Answers

Answer:

378 and 380

Step-by-step explanation:

The two even consecutive numbers that add up to 758 are going to be very close to half of 758. This is because two half of 758 are going to be the most similar addends of 758. This is important because the answers will be consecutive and therefore, must also be very similar. To solve, first, divide 758 by 2. This is 379, which is not an even number. So, to find the needed addends subtract and add 1 to 379. Both of these will be even and consecutive. These two numbers are 378 and 380. Then, to check you, can add them and see that they do sum 758.

Answer:

Step-by-step explanation:

Let the first number = x

Let the second number = x + 2

x + x + 2 = 758                      Collect like terms

2x + 2 = 758                         Subtract 2

2x = 758 - 2                          Combine

2x = 756                                Divide by 2

2x/2 = 756/2

x = 378

The first number is 378

The second number 380

If your teacher is really fussy, you can do it this way.

Let the first number = 2x

Let the second number = 2x + 2

The reason for this is to guarantee that both numbers were even to start with.

2x + 2x+2 = 758                    Combine like terms

4x + 2 = 758                          Subtract 2

4x = 756                                Divide by 4

x = 756/4

x = 189

Therefore 2x = 378

2x + 2 = 380                 Just as before.

Given the following absolute value function find the range.
f(x) = |x + 5| -8
Range: [5,00)
Range: [-5,00)
Range: [-8,00)
Range: [8,00)

Answers

Answer:

Range is (-8,00)

Step-by-step explanation:

The sum of two numbers is -17. Their difference is 41. Find the numbers

Answers

Answer:

x = 12

y = -29

Step-by-step explanation:

Our given equations: x + y = -17 and x - y = 41

Solve for x and substitute.

x = -17 - y

(-17 - y) - y = 41

-17 - 2y = 41

2y = -58

y = -29

Solve for x using y

x + (-29) = -17

x = 12

look at the image below forr the question plz

Answers

Answer:

[tex]308 \ m^3\\[/tex]

Step-by-step explanation:

The volume of a three-dimensional shape is the amount of space the figure takes up. This can be found by multiplying all of the dimensions of a figure together. In essence, the following formula can be used to find the volume.

[tex]A=l*w*h[/tex]

Where (l) represents the figure's length; (w) is the width: and (h) the height. Substitute the given values into the formula and solve for the volume.

[tex]A=l*w*h[/tex]

[tex]A=7*4*11[/tex]

Simplify,

[tex]A=7*4*11[/tex]

[tex]A=28*11[/tex]

[tex]A=308[/tex]

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 421 gram setting. It is believed that the machine is underfilling the bags. A 43 bag sample had a mean of 414 grams. Assume the population standard deviation is known to be 19.

Required:
a. Is there sufficient evidence at the 0.1 level that the bags are underfilled?
b. Find the P-value of the test statistic.

Answers

Answer:

a) The p-value of the test is 0.0078 < 0.1, which means that there is sufficient evidence at the 0.1 level that the bags are underfilled.

b) 0.0078.

Step-by-step explanation:

Question a:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 421 gram setting.

At the null hypothesis, it is tested if the mean is of 421, that is:

[tex]H_0: \mu = 421[/tex]

It is believed that the machine is underfilling the bags.

At the alternative hypothesis, it is tested if the mean is of less than 421, that is:

[tex]H_a: \mu < 421[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

421 is tested at the null hypothesis:

This means that [tex]\mu = 421[/tex]

A 43 bag sample had a mean of 414 grams. Assume the population standard deviation is known to be 19.

This means that [tex]n = 43, X = 414, \sigma = 19[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{414 - 421}{\frac{19}{\sqrt{43}}}[/tex]

[tex]z = -2.42[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean below 414, which is the p-value of z = -2.42.

Looking at the z-table, z = -2.42 has a p-value of 0.0078.

The p-value of the test is 0.0078 < 0.1, which means that there is sufficient evidence at the 0.1 level that the bags are underfilled.

b. Find the P-value of the test statistic.

As found above, the p-value of the test statistic is 0.0078.

The graph of [tex]y = ax^2 + bx + c[/tex] is a parabola. The axis of symmetry is [tex]x = -b/2a[/tex]. What are the coordinates of the vertex?

Answers

The vertex can be written as:

(-b/2a, b^2/(4*a) - b^2/2a + c)

For a general parabola:

y = a*x^2 + b*x + c

We can write the vertex as:

(h, k)

The x-value of the vertex is the value of the axis of symmetry.

Then we have:

h = x = -b/2a

Now we need to find the y-value of the vertex.

To do that, we just replace the variable "x" by the x-value of the vertex in our equation, so we get:

k = y = a*(-b/2a)^2 + b*(-b/2a) + c

k = b^2/(4*a) - b^2/2a + c

Then the coordinates of the vertex are:

(h, k) = (-b/2a, b^2/(4*a) - b^2/2a + c)

If you want to read more:

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Jared works at a clothing store and is listening to a customer complain about a shirt he purchased that's damaged. Which behavior can Jared exhibit to show good communication skills with the customer? O a) Stopping the customer to quickly explain the store's return policy b) Repeating back what he has heard once the customer is done speaking Od Asking the customer how the shirt was damaged O d) Promising the customer a full refund even though it's against policy

Answers

Answer:

C

Step-by-step explanation:

in my point of view, my choice is C (asking the customer how the shirt was damaged) because when he finds out the reason why the shirt was damaged, he will explain whether or not that fault is in the store's return policy

another reason:

A) stopping the customers when they are talking, it's impolite behavior and i ensure that that customer will feel disatified.

B) i guess that customer doesnt waste of time because it

D) a full refund without finding the reason, i dont think it's a good idea

A car dealership is advertising a car for $16,299.99. If the sales tax rate is 6.5 percent, what
is the total tax paid for the car?
A. S993 34
B. $1.000.00
CS1.059 50
DS1.359.19

Answers

Answer:

C.

Step-by-step explanation:

16,299.99*0.065=1059.50

A researcher conducts an ANOVA analysis and reports no differences in average certification exam test scores for nurses identified as Baby Boomers, Millennials or Generation X. You would expect to see:

Answers

Answer:

"Type II error" is the right answer.

Step-by-step explanation:

A type II mistake would be that a fake null hypothesis also isn't rejected. It's also called false negatives.It happens whenever an investigator does not eliminate a truly wrong null hypothesis. Here quite a scientist determines that whenever it genuinely exists, that there's no substantial consequence.

Thus the above is the right answer.

Choose all options that apply. Which of the following are antiviral medications commonly used to treat the flu? | a) Azelastine Oxymetazoline c) Zanamivir O d) Oseltamivir

Answers

C. Zanamivir
Zanamivir is an inhibitor. It works by stopping the flu virus from growing and spreading inside your body, but they should be used on higher risk people only.
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