a parabolic monument in a museum has a height of 25 feet and a base width of 30 feet. find an equation which models this shape, using the x-axis to represent the ground.

The function that represents the total charge for renting a truck for a certain number of hours is c(h) = $90 + $20(h) and the value of the function for an input of 5, is $190 and this represents the total charge for a rental of 5 hours.

Given,

A truck rental company charges $90 plus $20 per hour.

Here we need to  identify a function that represents the total charge for renting a truck for a certain number of hours. And we also need to find the value of the function for an input of 5.

The problem statement tells you the total charge is the sum of $90 and a charge of $20 per hour. That is, for h hours, the total charge is ...

c = 90 + 20h

In functional form, this is

c(h) = 90 +20(h) . . . . . . total charger for a rental of h hours

The function value with an input of 5 is ...

c(5) = 90 +20(5)

c(5) = 90 + 100

c(5) = 290

Since the input is the number of hours of rental, and the function value is the total charge, this represents the total charge for a rental of 5 hours.

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Answer:

f(h)=90+20h

$190

Step-by-step explanation:

The length of side AB of the isosceles triangle is 8x + 5.

The formula for finding the length of a isosceles triangle side is given by:

Length of side = √x² +  y²

Where x and y are the lengths of the other two sides.

To find the length of the side AB, we need to first calculate x and y. We know that BC = 4x + 4 and CA = 3x + 9.

Therefore, \(x = BC - CA = 4x + 4 - 3x - 9 = x + -5\)

And \(y = CA - BC = 3x + 9 - 4x - 4 = -x + 5\)

Substituting these values in the formula, we get:

Length of side AB = √((x + -5)² + (-x + 5)²)

= √((x² + 25) + (x² + 25))

= √(2x² + 50)

= √(2(8x + 5)²)

= √(16x2 + 80x + 25)

= 8x + 5

Therefore, the length of side AB is 8x + 5.

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Answer:

x= -1

y= 2

Step-by-step explanation:

Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2

 y-intercept = 2/1  =  2

When y = 0 the value of x is 1/-1 Our line therefore "cuts" the x axis at x= -1

 x-intercept = 2/-2 = 1/-1  = -1

Answer:

Answer:

The answer is 18x^2 - 33x + 12.

Step-by-step explanation:

Use the FOIL method: first, outer, inner, and last.

(6x - 3)(3x - 4)

6x • 3x = 18x^2

6x • (-4) = -24x

(-3) • 3x = -9x

(-3)(-4) = 12

= 18x^2 - 24x - 9x + 12

= 18x^2 - 33x + 12

Kayla would have approximately $554.93 in the account after 12 years, rounded to the nearest dollar.

Learn more about To calculate the amount Kayla would have in the account after 12 years, we can use the formula for compound interest:

A = P * (1 + r/n)^(n*t)

Where:

A = the final amount

P = the principal amount (initial deposit)

r = the annual interest rate (in decimal form)

n = the number of times interest is compounded per year

t = the number of years

In this case, Kayla deposits $380 every quarter, so the principal amount (P) is $380. The annual interest rate (r) is 3.3% or 0.033 as a decimal. The interest is compounded quarterly, so n = 4. The number of years (t) is 12.

Plugging these values into the formula:

A = $380 * (1 + 0.033/4)^(4*12)

Calculating the exponent:

A = $380 * (1 + 0.00825)^(48)

A = $380 * (1.00825)^(48)

Using a calculator, we can calculate the value of (1.00825)^(48) ≈ 1.464096

A = $380 * 1.464096

A ≈ $554.93

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Answer:

14.7

Step-by-step explanation:

I hope this helps!

Step-by-step explanation:

Lowest Common Denominator =12

= 6(-7/12) + 12(1/2)

= -42/12 + 12/12

= -30/12 (simplify)

= -5/2

Answer:It's easier to divide by a higher number that goes in evenly

An engineer is designing a fuel tank in the shape of a cylinder, the approximate radius of the cylinder is 8.2 inches.

Volume:

V = πr²h

Height:

h = 2r

V = πr²h

V= πr²(2r)

V= 2πr³

And we know that the volume must be 3,500 in³, now we can replace that and solve for R, we will get:

V= πr²h

3500 = 3.14 x 2 x (r)³

r = 8.2 inch

The cylinder's approximate radius must be 8.2 inches.

One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterised as an infinitely curved surface.

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Answer:

0.832 percent or if you need it rounded 83 percent of guests.

Step-by-step explanation:

104/125= 0.832

Hope this helps!

Answer:

83%

Step-by-step explanation:

So you get the amount of guest who came to the wedding.

Then you divide the amount of who came then the guest who were invited.

Divide 104 ÷ 125 = 83

So thats how I got my answer

Answer:

d + n = 22

0.10d + 0.05n = 2.50

Step-by-step explanation:

Let's use the variables "d" for the number of dimes and "n" for the number of nickels in Jeremy's wallet. Then we can create the following system of equations to represent the given information:

d + n = 22 (the total number of coins is 22)

0.10d + 0.05n = 2.50 (the total value of the coins is $2.50)

The first equation represents the fact that the total number of coins is 22. The second equation represents the fact that the total value of the coins (in dollars) is $2.50.

Answer:20x10=200 cents =2$ + 2 qutars and there you go

Step-by-step explanation:

71.2 was the mean of dr. ringo star's biology final exam when z-score of 1.5 .

What does "z-score" mean?

X - μ/σ = Z

85 - μ/9.2 = 1.5

μ = 85 - ( 1.5 * 9.2 )

μ = 71.2

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In binary representation, each bit can be either 0 or 1. Using five binary bits, we can obtain 32 different numbers. Therefore, the correct answer is (B).

With five binary bits, we have five positions, and each position can have two possibilities (0 or 1). To calculate the total number of different numbers we can obtain, we need to raise 2 to the power of the number of bits. In this case, we have \(2^5,\) which equals 32. Therefore, we can obtain 32 different numbers using five binary bits. To understand this concept, we can think of each binary bit as a switch that can be either on (1) or off (0). With five switches, we have a total of 32 different combinations or numbers that can be represented. These numbers range from 0 (all switches off) to 31 (all switches on). Therefore, the correct answer is (B), which states that we can obtain 32 different numbers using five binary bits.

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Answer:

If for every 5 calendars that Josh sold, Laure sold 4, and Josh sold 45 calendars last month.

Lauren sold 4/5 * 45 calendars = 36 calendars last month.

Step-by-step explanation:

Answer:

We know that for every 5 calendars Josh sold, Lauren sold 4. This is a ratio of 5:4, which means that for every 5 calendars Josh sells, Lauren sells 4.

We also know that Josh sold 45 calendars last month. We can use this information to find out how many calendars Lauren sold by using the ratio of 5:4.

We can set up the equation:

5/4 = 45/x

Where x represents the number of calendars that Lauren sold.

We can solve for x by multiplying both sides of the equation by x:

5x = 4*45

x= 4*45/5

x= 36

So Lauren sold 36 calendars last month.

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

Answer:

  $22

Step-by-step explanation:

Given a table of popcorn volumes and prices, you want to know a reasonable price for 60 ounces of popcorn.

Plotting the given sizes and costs on a graph, we see that the relationship is linear. Using the two points (size, cost) = (10, 6) and (20, 8), we find the relation to be ...

  m = (y2 -y1)/(x2 -x1) = (8 -6)/(20 -10) = 2/10 = 0.2 . . . . slope

  b = y1 -m(x1) = 6 -0.2(10) = 4 . . . . . . y-intercept

Then the equation of the line is ...

  y = mx +b

  y = 0.2x +4

Using x=60, we find the corresponding price is ...

  y = 0.2(60) +4 = 12 +4 = 16

A consistent price is $16 for a 60-ounce container of popcorn.

__

Additional comment

The price equation suggests a fixed cost ($4) and a volume-related cost ($0.20 per ounce).

Answer:

$10.44

Step-by-step explanation:

9(0.16)

1.44

9+1.44

10.44

Hope this helps

Btw I got .16 because in order to get a decimal you move the decimal place two to the left. And in this case the 16 has an imaginary decimal after it. Like so 16. So two to the left. .16

Answer:

3132

Step-by-step explanation:

2.2% of 3500 is 77 which leaves you with 3423 after one year. At this rate you can take 2.2% of 3423. using this formula five times you reach a final answer of 3132.

3500

-77

3423

-75.306

3347.694

-73.649268

3274.044732

-72.028984104

3202.0157479

-70.4443464538

3131.57140145

and rounding up to a whole leaves you with 3132

As per the distribution, the value of P(X > 17) is 1/4

In this problem, we are given that the random variable X has a discrete uniform distribution on the integers 12, 13, ..., 19. This means that each of these integers has an equal chance of being the value of X, and any other value outside this range has a probability of 0. We can represent this distribution using a probability mass function, which gives the probability of each possible value of X.

To find the value of P(X > 17), we need to calculate the probability that X takes on a value greater than 17. Since the distribution is uniform, the probability of X being any of the integers in the range is 1/8.

Therefore, we can find the probability of X being greater than 17 by adding up the probabilities of X being equal to 18 or 19, which are the only values greater than 17 in the distribution.

Thus, we have P(X > 17) = P(X = 18) + P(X = 19) = (1/8) + (1/8) = 1/4.

This means that there is a 1/4 chance that X will be greater than 17.

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There are 90 possible combinations of marble color and die number that are possible from a bag of 15 different colored marbles and rolling one six-sided die.

This can be determined using the multiplication principle of counting.

The multiplication principle of counting can be used to find the number of ways two or more tasks can be performed together. The principle states that if there are m ways to perform task A and n ways to perform task B, then there are m × n ways to perform both tasks A and B.

To apply the multiplication principle of counting to this problem, we need to determine the number of ways the die can land and the number of ways a marble can be chosen. There are six possible outcomes of rolling a six-sided die, and there are 15 different colored marbles to choose from. Thus, the number of possible combinations of marble color and die number is: 15 different colored marbles × 6 possible die numbers= 90 possible combinations.

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After pouring some water from container A into container B, the new height of the water in both containers will be equal.

When container A is filled with water to the brim, it reaches its maximum capacity. Let's assume the initial height of the water in container A is h.

When some water is poured from container A into container B, the water level in both containers will gradually equalize until they reach the same height. Let's denote this new height as H.

The reason the water levels equalize is due to the principle of fluid equilibrium. When the containers are connected and the water is allowed to flow, the water seeks a common level. This occurs because the pressure at the same height in a fluid is equal.

Therefore, after pouring water from container A to container B, the final height of the water in both containers will be H, which indicates that the water has reached an equilibrium point where the pressure is equal in both containers.

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Answer:

125 degrees

Step-by-step explanation:

Answer:

Where is the graph to use

The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.

The condition for destructive interference at the first dark fringe can be found using the path difference between the two waves.

For the first dark fringe, the path difference between the two waves that pass through the edges of the slit must be half a wavelength:

Δx = λ/2

where Δx is the path difference and λ is the wavelength of the light.

The path difference Δx can be related to the width of the slit w and the angle θ that the diffracted wave makes with the central axis of the slit by:

Δx = w sin(θ)

Therefore, the condition for the first dark fringe can be expressed as:

w sin(θ) = λ/2

The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.

This means that if the width of the slit and the wavelength of the light are known, the angle θ at which the first dark fringe occurs can be calculated.

This condition arises due to the interference of the diffracted waves from the edges of the slit. When the path difference between these waves is equal to half a wavelength, the waves interfere destructively and produce a dark fringe.

The first dark fringe is observed at the angle θ for which the path difference between the waves passing through the edges of the slit is equal to λ/2.

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Answer:

3/5=18/30

Step-by-step explanation:

3/5*6/6=18/30

Answer:

the four to the left of the four in the hundredths place is 1000 place

Step-by-step explanation:

Answer:

Tan.

Step-by-step explanation:

First way;

Tan (90-θ )=Cot θ Tan (90+θ )= -Cot θ

1st explanation, QUOTATIONS!

"tan90∘ is undefined because you can't divide 1 by nothing. Nothing multiplied by 0 will give an answer of 1 , so the answer is undefined."

2nd explanation, QUOTATIONS!

"That's undefined because as you approach 90° from either direction, tan approaches positive or negative infinity. cot(90°) hence approaches 1/infinity (either positive or negative) which is just 0."