Hailey has a summer job at the water slide park. She earns $9.50 an hour as a lifeguard, but never works more than 25 hours in a week. She determines that her salary is modeled by the function s = 9.5h. What is the domain of this function in this situation? A) s ≤ 237.50 B) all real numbers C) {0 ≤ h ≤ 25} D) {0 ≥ h ≥ 25}

Answers

Answer 1

Answer: C)  {0 ≤ h ≤ 25}

Step-by-step explanation:

The domain of a function is the set of all values for independent variable for which the function must be defined.

Given: The amount earned by Hailey for one hour work =$9.50

She determines that her salary is modeled by the function [tex]s = 9.5h[/tex].

Here h is the independent variable such that 's' is dependent on 'h'.

Since she never works more than 25 hours in a week.

Therefore, the maximum hours she will work = 25

Hence, the domain of this function in this situation is {0 ≤ h ≤ 25}, where h is number of hours she works.


Related Questions

Which expression is equivalent to 4t + 3t?

Answers

Here, 4t + 3t = 7t

So, your final answer is 7t

Hope this helps!

Final answer:

The expression that is equivalent to 4t + 3t is 7t, as you combine the like terms by adding their coefficients.

Explanation:

The student has asked which expression is equivalent to 4t + 3t. This is a problem in basic algebra and involves combining like terms. To find the equivalent expression, we simply add the coefficients (numbers in front of the variable 't') together. Since both terms have the same variable 't', we combine 4 and 3 to get 7. Therefore, the equivalent expression to 4t + 3t is 7t.

IS MY ANSWER CORRECT? If you would like to make $1213 in 8 years, how much would you have to deposit in an account that pays simple interest of 5%?
I=1213(.05)(8) I=388.16 Interest Earned is $388.16 1213+388.16=1601.16

Answers

you can use this formula A=p(1+tr),,1213=p(1+.05*8),,p=866.43

4 tens 19 tens 22 ones

Answers

the answer is 252 because 40 plus 190 plus 22 is 252

According to rule of mathematics, these given numbers will be presented according to their respective decimal places:

Step-by-step explanation:

4 tens can be represented as 40.

19 tens can be represented as 190.

22 ones are simply 22.

Richie wants to paint his bedroom ceiling in for walls. The ceiling in each of the walls are 8' x 8'. A gallon of paint covers 40 ft.². Write an expression that can be used to find the number of gallons of paint Richie needs to buy period

Answers

The answer is 1.6
Pls thank me if the answer is correct

Simplify (7 +i) – (6 – 2i)

–2

1 – i

1 + 3i

4 ...?

Answers

Solution:
7-6 +i+2i = 1+3i

Which of the following statements are true about WaterSense toilets?
a.
WaterSense toilets prevent toilet leaks
b.
WaterSense toilets saved customers 9.3 billion gallons of water in 2008
c.
WaterSense toilets come with attached float booster
d.
WaterSense toilets use about 5-7 gallons of water per flush

Answers

Answer:

I just took the test, the answer is

B: WaterSense toilets saved customers 9.3 billion gallons of water in 2008

The only option that is true about water sense toilets is that; B: WaterSense toilets saved customers 9.3 billion gallons of water in 2008

What are water sense toilets?

The WaterSense label is a label that is mostly used on toilets that are certified by an independent body to satisfy well established high performance and efficiency standards.

Now, only water-saving toilets that complete the certification process can have the WaterSense label. From research it was discovered that WaterSense toilets saved customers 9.3 billion gallons of water in 2008 and so option B is correct.

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What's does tumultuously mean??

Answers

Making a loud, confused noise; uproarious.

Answer:yeah what they said

Step-by-step explanation:

which two square roots are used to estimate the square root of 42
25, 36
36,49
46,64
or 25,64

Answers

The number 42 is between 36 and 49.
√36 = 6,  √49 = 7
6 < √42 < 7   ( √42 = 6.48 )
Answer:
B ) 36, 49

How many pounds are in 427.06 g?

1 gram = 2.20 × 10^-3 lb

A.
939 lb

B.
0.939 lb

C.
194.12 lb

D.
194,118 lb

Answers

This is 427.06g*2.20x10^-3lb/1g = 427.06g*0.0022lb/1g = 0.939lb,so the answer is letter B

The result is 0.939 lb, so the correct answer is option B.

1 gram = 2.20 × [tex]10^{-3}[/tex] lb

We can set up a multiplication to convert grams to pounds:

427.06 g × 2.20 × [tex]10^{-3}[/tex]lb/g

Carrying out the multiplication:

427.06 × 2.20 × [tex]10^{-3}[/tex]

 = 0.939 lb

Thus, the amount in pounds is 0.939 lb.

The correct answer is:

B. 0.939 lb

fill in the blank
1. x-7>10
x>____

Answers

In order to find the answer, here is what we are going to do.
x-7 > 10. Just transfer the -7 to the right with the number 10 and it becomes positive, so the result would be x > 10 + 7 and then x > 17. So the correct answer would be x > 17. Hope this is the answer that you are looking for. 

Hey anyone cane u answer these two questions and explain and show your work how u got the answer please. Step by step. Thank you!

Answers

Q17) The answer is $75.79, because 12%-6.75%=5.25%. Therefore you find 5.25% of $79.99 which is $4.20. Then you take $4.20 from $79.99 which gives you $75.79.
17.$79.99 * (100-12)% * (100+6.75)%
      =$75.14.
18.$2200 + 3.75% of $4500 would be 2200 + 0.0375 x 4500 or $2200 + $168.75
      2200 + 168.75 = $2368.75.

Hope this helps :)

What is the unite rate for 42 laps in 6 races?

Answers

42/6 = 7 laps per race
In 6 races = 42 laps,
Then it would be: 1 race = 6 laps.

So, in 1 race there would be 6 laps & that is your unit rate.

So, your final answer is 6

There are "n" delicious sweets in the bag. You know that 6 of them are orange and the rest are yellow. Hannah takes a random sweet from the bag and eats it. Then she takes a second sweet from the bag and eats that one. You know that the probability that Hannah eats two of the orange sweets is 1/3. How many sweets were in the bag before Hannah ate any

Answers

At the point when Hannah takes her first sweet from the sack, there is a 6/n chance it is orange. 
This is because that there are 6 orange desserts and n desserts altogether. 
When Hannah takes out her second sweet, there is a 5/(n-1) chance that it is orange. 
This is because there are just 5 orange desserts let alone for an aggregate of n-1 desserts. 
The possibility of getting two orange desserts in succession is the main likelihood increased by the second one: 6/n x 5/n–1 
The question lets us know that the shot of Hannah getting two orange desserts is 1/3. 
So: 6/n x 5/n–1 = 1/3 
Now, rearrange this problem. 
(6x5)/n(n-1) = 1/3 
This gets to be: 
30/(n² – n) = 1/3 
Times by 3 on both sides: 
90/(n² – n) = 1 
What's more, doing likewise with (n² – n): 
So (n² – n) = 90 
Our answer is: n² – n – 90 = 0

What is the value of x in the equation 4(2x + 14) = 0?

9
7
−7
−9

Answers

4 (2x+14)=0
2x+14=0
2x=-14
x=-14:2
x=-7

Value of [tex]x[/tex] in the given equation [tex]4(2x+14)=0[/tex] is equal to [tex]-7[/tex].

What is equation?

" Equation is defined as the algebraic expression which represents the relation between the variables and number using sign of equality."

According to the question,

Given equation,

[tex]4(2x+14)=0[/tex]

Simplify the given equation to get the value of [tex]x[/tex],

[tex]4 \neq 0[/tex]

Therefore,

[tex]2x+14 = 0\\\\\implies 2x = -14\\\\\implies x = -7[/tex]

Hence, value of [tex]x[/tex] in the given equation [tex]4(2x+14)=0[/tex] is equal to [tex]-7[/tex].

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The area of a rectangle is 96 square feet. The ratio of the width to the length is 2:3. The width of the rectangle is how many feet?

Answers

the width of the shape is 48 ft.

The width of the rectangle, with an area of 96 square feet and a width-to-length ratio of 2:3, is 8 feet.

The student asked to find the width of a rectangle given that the area of the rectangle is 96 square feet and the ratio of the width to the length is 2:3.

To solve this, first let's assign variables to the dimensions of the rectangle. Let the width be 2x feet and the length be 3x feet, where x is a common multiple. Since the area of a rectangle is the product of its width and length, we can set up an equation:
(2x) × (3x) = 96

Solving for x gives:

6x^2 = 96

x^2 = 16

x = 4 feet

Now that we have the value of x, we can find the width by multiplying x by 2:

Width = 2x = 2(4 feet) = 8 feet

Therefore, the width of the rectangle is 8 feet.

The measured weights of 1,000 men in a certain village follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds. Which sentence most closely summarizes the data?

About 160 people weigh more than 165 pounds.

About 320 people weigh more than 165 pounds.

About 320 people weigh less than 165 pounds.

About 640 people weigh less than 165 pounds.

Answers

Final answer:

The correct summary of the data is that about 160 people weigh more than 165 pounds, based on the empirical rule for a normal distribution.

Explanation:

To summarize the data of the measured weights of 1,000 men in a certain village, which follows a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds, we can use the empirical rule (68-95-99.7). According to this rule, approximately 68% of data values fall within one standard deviation of the mean, 95% fall within two standard deviations, and 99.7% fall within three standard deviations.

In this context, since 165 pounds is one standard deviation above the mean (150 + 15 = 165), it means approximately 16% of men (100% - 84%) will weigh more than 165 pounds, which translates to about 160 people (0.16 * 1000).

Therefore, the correct summarization is: About 160 people weigh more than 165 pounds.

how can you prove a triangle is a right triangle

Answers

if the side lengths (arranged from shortest to longest) have values of a, b, and c, and a²+b²=c², then the triangle is a right triangle.

To prove a triangle is a right triangle, use the Pythagorean theorem: a² + b² = c².

To prove that a triangle is a right triangle, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This is expressed as: a² + b² = c², where c is the hypotenuse, and a and b are the other two sides.

Here are the steps to prove that a triangle is a right triangle:

Measure all three sides of the triangle.Identify the longest side, which will be the hypotenuse in a right triangle. Label it as c.Label the other two sides as a and b.Calculate a², b², and c².Check if the equation a² + b² = c² holds true.

If the equation is correct, the triangle is a right triangle.

Additionally, you can verify it using a compass and ruler to draw precise triangles and measure the angles, although measurement errors are common. Understanding the Pythagorean theorem is crucial for these calculations.

Taking the speed of the radio signal as 3×108 m/s, calculate the time taken for a signal to reach a GPS receiver from a GPS satellite at a position 21 000 km distant from the receiver. Assume that the speed of the signal is unchanged over the whole path length. Express your answer in milliseconds

Answers

total distance=21000km=21000000m
time=distance/speed
       =21000000/(3x108)
       =0.07s
       =70milliseconds

What is the sum of 1/4 and 1/5?

Answers

To add them, you first need a common denominator.
So multiply  1/4 by 5/5 and 1/5 by 4/4 first. 

Now they'll be 5/20 and 4/20. 

Add them to get 9/20. 

The U in the upper right corner stands for the



bigger set
universal set
infinite set
complement

Answers

The U in the upper right corner stands for the universal set.
As universal set defined the set containing all objects or elements and of which all other sets are subsets. So, the answer is B.

Answer:

Universal set

Step-by-step explanation:

We need to find U in the upper right corner stands for what

Option 1 : bigger set

We cannot say this a bigger set without comparing it with another sets and since it is also containing  another sets So, it is not said to be a bigger set.

Option 1 is wrong .

Option 2 : Universal Set

Definition of Universal Set : The set which contains all elements or all objects  and of which all other sets are subsets.

Since we can see that SET M and SET N are contained in SET U

Thus U is a universal set.

Option 2 is correct .

Option 3: infinite set

we can see in the figure that it is finite set .

So, it is not infinite set.

Option 3 is wrong .

Option 4: complement

it is not a complement set (refer given figure )

Option 4 is wrong .

A bakery uses 3/10 of a cup of flour in one batch of biscuits. the bakery used 3/5 of a cup of flour yesterday. how many batches of biscuits did the bakery make?

Answers

the bakery made 3 batches of bicuits.
3/10=0.3
3/5=0.6
if 0.3 is 1 batch then 0.6 is 2 batches 1+2=3

Answer:

Step-by-step explanation:

What should you do to both sides of the inequality in order to solve x + (-2) > 3?

Answers

you would subtract (-2) on both sides but because there is two negatives it turns into a postive so you add 2 on both sides  so you get x > 5 

Answer:

subratct 2 from both sides

Step-by-step explanation:

i took this class

Consider the function represented by the equation 1/2j+1/4k=3. Which shows the equation written in function notation with j as the independent variable?

F(j)=-2j+12
F(j)=-1/2j+6
F(k)=-2k+12
F(k)=-1/2k+6

Answers

So here is how we are going to get the answer. Based on the given above, the equation that is written in function notation with j as the independent variable is this:F(j)=-2j+12
So here are the steps. 
1/2j+1/4k=3. <So first, multiply it by 4 to clear the fractions.
2j+k=12. <then, solve for k.
so, k=-2j+12
Hope this is the answer that you are looking for. Have a great day!

How many ways can you make 17 as the product of two numbers in multiplication?

Answers

17 is a prime number, therefore it can only times itself, so 17×1=17.

Solve by elimination
-3x+2y=10
-2x-y=-5

Answers

First you need to get two similar terms to eliminate, I'll do y:
-3x + 2y = 10
-4x - 2y= -10
And then you minus
x = 20
Now you can substitute x in to one of the equations to find y:
-60 + 2y = 10
+ 60
2y = 70
÷ 2
y = 35
So your values are y = 35 and x = 20. Hope this helps!

3x^2 + 5x =8
Solve with the quadratic formula. I messed up somewhere in my solving... Steps would be great~!

Answers

Just plot the function and mark the points it crosses through.


X has two solutions = -8/3 & 1
quadratic formula

for ax^2+bx+c=0
x=[tex] \frac{-b+/- \sqrt{b^2-4ac} }{2a} [/tex]

first conver to ax^2+bx+c=0 form

3x^2+5x=8
minus 8 both sides
3x^2+5x-8=0
we can actually solve by factoring (x-1)(3x+8), but that's isn't the question

so

ax^2+bx+c=0
3x^2+5x-8=0
a=3
b=5
c=-8

x=[tex] \frac{-5+/- \sqrt{5^2-4(3)(-8)} }{2(3)} [/tex]
x=[tex] \frac{-5+/- \sqrt{25+96} }{6} [/tex]
x=[tex] \frac{-5+/- \sqrt{121} }{6} [/tex]
x=[tex] \frac{-5+/-11}{6} [/tex]
so
x=(-5-11)/6 or (-5+11)/6
simplify
(-5-11)/6=-16/6=-8/3
(-5+11)/6=6/6=1

x=-8/3 and 1

What is 0.00004 in its standard form ??

Answers

to get the answer you need to move the decimal to the right until it is behind the first number that isn't a zero. then you count how many spaces you moved the decimal which will make the number you will square 10 by. to know if the power is negative or positive that depends on the direction you move the decimal. since you would move it to the right that would make it a negative.
4x10^-5

The number 0.00004 is expressed in standard form or scientific notation as [tex]4.0 \times 10^{-5}[/tex], moving the decimal 5 places to the right because the number is smaller than 1.

To express the number 0.00004 in standard form or scientific notation, we need to rewrite it so that it has one non-zero digit to the left of the decimal point. Move the decimal place to the right until you have that single non-zero digit. Count the number of places you've moved it; this number will determine the exponent of 10 in the standard form.

In this case, we move the decimal point:

Since we moved the decimal 5 places to the right, the power of 10 will be negative because the original number is less than 1.

Therefore, the standard form or scientific notation of 0.00004 is: 4 × 10⁻⁵.

If you only have a 3-quart pitcher and a 5-quart pitcher, how can you measure exactly 1 quart?

Answers

No because 5 quarts are greater than 1 quart and 3 quarts are greater than 1 quart. 

If the perimeter of a square is 16”, what is the length of each side of the square?

Answers

A square is a shape with 4 sides where all sides are equal. Therefore, the perimeter of a square is 4n, with n being the length of one side. set up the equation as follows; 4n = 16. solve this for n by dividing both sides by 4. You get n = 4, which is the solution.

4"

A laboratory technician needs to make a 40​-liter batch of a 40​% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 20​% to get the desired​ concentration?

Answers

not sure how to explain
40*0.40=0.2(40-x)+1x
16=8-0.2x+x
minus 8 both sides
8=0.8x
divide both sides by 0.8
10=x
40-10=30

10liters of the pure and 30 liters of the 20%
Final answer:

To make a 40-liter batch of a 40% acid solution, the laboratory technician can combine a batch of pure acid with another batch that is 20% acid.

Explanation:

To make a 40-liter batch of a 40% acid solution, the laboratory technician can combine a batch of pure acid with another batch that is 20% acid. Here is a step-by-step process:

Let's assume the volume of the pure acid solution is x liters.The volume of the 20% acid solution needed can be calculated using the equation: (40 - x) = 0.2(x), where 40 - x is the volume of the 20% acid solution required and 0.2(x) is the volume of acid in that solution.Solving the equation, we get 40 - x = 0.2x, which simplifies to 1.2x = 40. This equation can be solved to find x, which represents the volume of the pure acid solution.Once x is found, the volume of the 20% acid solution can be calculated by subtracting x from 40.The laboratory technician can mix x liters of pure acid with (40 - x) liters of the 20% acid solution to obtain the desired concentration of 40% acid in a 40-liter batch.

Therefore, the laboratory technician can combine a batch of pure acid with another batch of 20% acid to obtain a 40-liter batch of a 40% acid solution.

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