Answer:
-125 meters.
Step by step explanation:
We have been given that Guillermo is a professional deep water free diver. his altitude (in meters relative to sea level), x seconds after diving, is modeled by [tex]g(x)=\frac{1}{20}x(x-100)[/tex].
We have been given a quadratic function and the minimum value will occur at vertex.
First of all we will write it in standard quadratic form by using distribution property.
[tex]\frac{x^{2}}{20}-\frac{100x}{20}[/tex]
[tex]\frac{x^{2}}{20}-5x[/tex]
Now we will find vertex of our parabola using [tex]x=\frac{-b}{2a}[/tex]
[tex]x=\frac{-(-5)}{2(\frac{1}{20})}[/tex]
[tex]x=\frac{5}{(\frac{2}{20})}[/tex]
[tex]x=\frac{5\times20}{2}[/tex]
[tex]x=5\times10[/tex]
[tex]x=50[/tex]
Now let us substitute x=50 in our quadratic function to find lowest altitude of Guilermo.
[tex]g(50)=\frac{50^{2}}{20}-5\times 50[/tex]
[tex]g(50)=\frac{2500}{20}-250[/tex]
[tex]g(50)=125-250[/tex]
[tex]g(50)=-125[/tex]
Therefore, the lowest altitude Guilermo will reach is -125 meters.
Your revenue is 32456 your gross margin is 23487 your operating expenses are 8123 your profit is
To compute for your profit, you just have to deduct your operating expenses to your gross margin. The gross margin is already the gross profit you have earned which is computed by deducting cost of goods sold to the revenue.
23,487 (gross margin) – 8,123 (operating expenses) = 15,364 (profit)
Explain why (√10)^3d is equivalent to (10^d)^3/2
What is the area of a circle whose radius is 5 ft? 5π ft² 10π ft² 20π ft² 25π ft²
Answer:
The area of the circle is equal to [tex]25 \pi\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The area of circle is equal to
[tex]A=\pi r^{2}[/tex]
where
r is the radius of the circle
In this problem we have
[tex]r=5\ ft[/tex]
substitute
[tex]A=\pi (5^{2})=25 \pi\ ft^{2}[/tex]
The area of a circle with a radius of 5 ft is equal to 25π ft² which is calculated using the formula A = πr². Below step-by-step calculation helps in understanding how to apply the formula correctly.
To find the area of a circle whose radius is 5 ft, we use the formula for the area of a circle: [tex]A = \pi r^2[/tex].
Step 1: Identify the radius (r) of the circle
[tex]r=5 \text{ ft}[/tex]Step 2: Plug the radius value into the formula
[tex]A &= \pi (5 \text{ ft})^2[/tex]Step 3: Square the radius
[tex](5 \text{ ft})^2 = 25 \text{ ft}^2[/tex]Step 4: Multiply this result by π (pi)
[tex]A = \pi \times 25 \text{ ft}^2[/tex]which gives [tex]A = 25 \pi \text{ ft}^2[/tex].
Therefore, the area of a circle with a radius of 5 ft is 25π ft².
Which graph could be the graph of f(x)=|x-h|+k if h and k are both positive?
Do two triangles with the same base and height have the same area
What is the answer plz help
Miriam ahorró durante toda la semana $14.00.El sabado se gasto 1/7 de esa cantidad y el domingo 5/8, ¿Que cantidad gastó en total durante esos dos días?
What is the sum of the first 7 terms of the series −4+8−16+32−... ?
Enter your answer in the box.
we have that
−4+8−16+32−.....
a1=-2*(-2)-----> -4
a2=-4*(-2)-----> +8
a3=+8*(-2)-----> -16
a4=-16*(-2)----> +32
a5=+32*(-2)----> -64
a6=-64*(-2)-----> +128
a7=+128*(-2)-----> -256
The sum of the first 7 terms of the series is
[a1+a2+a3+a4+a5+a6+a7]-----> [-4+8-16+32-64+128-256]-------> -172
which choice is equivalent to the expression below?
√- 20
A. -20i
B. 2i √5
C. -2 √5
D. 2 √5i
E. 20i,
Which of the following is the solution to the equation x + 8.6 = 36.2?
10.4
17.2
27.6
44.8
The answer is 27.6 because 36.2-8.6 is 27.6
To show the variation in a set of data, you could calculate the
Answer:
range
Step-by-step explanation:
apex
To show the variation in a set of data, we can use the standard deviation as a tool.
What is Data variability?Data variability also known as spread or dispersion, refers to how spread out a set of data is. Variability gives users a way to describe how much data sets vary and allows users to use statistics to compare their data to other sets of data.
Given is variation in a set of data.
To show the variation in a set of data, we can use the standard deviation which provides a numerical measure of the overall amount of variation in a data set, and can be used to determine whether a particular data value is close to or far from the mean.
Therefore, to show the variation in a set of data, we can use the standard deviation as a tool.
To solve more questions on standard deviation, visit the link below-
https://brainly.com/question/13905583
#SPJ2
Which of these following debts could possibly be forgiven under chapter 7 bankruptcy?
A. A mortgage
B. A student loan
C. Alimony
D. Child support
Answer:
A. A mortgage
Step-by-step explanation:
The chapter 7 of bankrupcy states that the person that owes the money should have his/her posessions taken away and by selling them repay the creditors, even if the sum of the belongings does not cover up for the whole amount that the person owes, this means that a mortgage is forgiven, but the house or the property is taken away and sold in an auction in order for the creditor to recover some of the money lost.
You deposit $2200 Into three separate bank accounts for each pay 3% annual interest. How much interest does each account earn after 6 years?
Final answer:
Each of the three separate bank accounts with $2200 deposited at an annual interest rate of 3% will earn $396 in interest after 6 years.
Explanation:
The question asks about the amount of interest earned after 6 years on three separate bank accounts that each have a deposit of $2200 and an annual interest rate of 3%. To calculate the interest for each account, we can use the formula for simple interest, which is I = PRT, where I is the interest, P is the principal amount ($2200), R is the annual interest rate (0.03), and T is the time in years (6).
The interest for each account is calculated as follows:
I = PRT = $2200 × 0.03 × 6 = $396.
Therefore, each account earns $396 in interest after 6 years.
Each account earns [tex]\( \$396 \)[/tex] in interest after 6 years.
To calculate the interest earned on each account after 6 years, we'll use the formula for simple interest:
[tex]\[ \text{Simple Interest} = P \times r \times t \][/tex]
Where:
- P is the principal amount (the initial deposit)
- r is the annual interest rate (as a decimal)
- t is the time the money is invested or borrowed for, in years
Given:
- [tex]\( P = \$2200 \)[/tex] (the deposit into each account)
- [tex]\( r = 0.03 \)[/tex] (3% annual interest rate as a decimal)
- [tex]\( t = 6 \)[/tex] years (the time period)
Let's calculate the interest earned on each account using the formula.
[tex]\[ \text{Interest} = \$2200 \times 0.03 \times 6 \][/tex]
[tex]\[ \text{Interest} = \$2200 \times 0.18 \][/tex]
[tex]\[ \text{Interest} = \$396 \][/tex]
I need help with this as well
complete the equation of the line whose y-intercept is (0,5) and slope is -9
Jay took out a small-business loan for 210,000. The terms of the loan are 5% annual interest for four years.
Jay will pay back $_____ by the end of the four years.
Show your work.
A. 420,000
B.252,000
C. 168,000
D. 42,000
I will assume that this is a simple interest. In this problem, you are asked to find the future value of the loan at the end of four years.
The formula in finding the future value of the loan is:
F = P (1 + rt)
Where F = future value of the loan
P = principal amount of the loan
r = simple interest rate
t = time in years
Substituting the amounts given in the problem:
F = 210,000 (1 + 5%x4)
= 210,000 (1.2)
= 252,000
Therefore, Jay will pay back $252,000 by the end of four years.
I'm having a problem with probability. Please someone help ASAP.
A first grade class of nine girls and seven boys walks into a class in alphabetical order (by last name). What is the probability that three girls are the first to enter the room? Show your calculation.
(A) 0.15
(B) 0.20
(C) 0.35
(D) 0.45,
The park ranger stocks the children fishing pond keeping a ratio of 4 sunfish to 3 perch if he puts 300 sunfish into the pond how many perch should be put into the pond
solve for x: 7/8-1/x=3/4
x = 1
x = 2
x = 4
x = 8
9514 1404 393
Answer:
x = 8
Step-by-step explanation:
[tex]\dfrac{7}{8}-\dfrac{1}{x}=\dfrac{3}{4}\\\\7x-8=6x\qquad\text{multiply by $8x$ to clear fractions}\\\\\boxed{x=8}\qquad\text{add $8-6x$}[/tex]
__
If you don't mind dealing with fractions, you can add 1/x -3/4 to get ...
7/8 -3/4 = 1/x
1/8 = 1/x . . . . . . . simplify
x = 8 . . . . . . . . . . take reciprocals; equivalently, multiply by 8x.
Worker A earns $9.50 per widget produced, produces 7 widgets per day, and works 5 hours per day. Worker B earns $8.80 per widget produced, produces 9 widgets per day, and works 8 hours per day. Which of these statements is true?
APEX confirmed
Answer: worker B earns more per day than worker A but less per hour that worker A
Please help asap!!! 12 points
What is the area of the circle if XY = 5.4 mm?
the answer would be 7.29π mm² because what you would do is
you would first divide 5.4 by two in order to get what the radius is
then you would multiply 2.7 times 2.7 in order to get 7.29
the reason that this is correct is because you have to make sure that you plug in the right values in the formula
Quick! Need the answer, will give brainiest
Dimitri is helping to plan the school talent show. Each performer for the talent show has 6 66 minutes for his or her performance, which includes transition time between performances. If the introduction for the talent show is 24 minutes long and the entire show, including the introduction, will last 1 5 0 150150 minutes, how many different performances can the talent show accommodate? Choose 1 answer: (Choice A) A 2 1 2121 (Choice B) B 2 4 2424 (Choice C) C 2 5 2525 (Choice D) D 2 9 29
Which of the following describes the transformations of g(x)=-(2)x+4-2 from the parent function f(x)=2x
Answer:
function f(x) first reflect across x axis and then shifted 4 unit up and then 2 unit down.
Step-by-step explanation:
Given : Transformations of g(x)=-(2)x+4-2 from the parent function f(x)=2x.
To find : Which of the following describes the transformations.
Solution : We have given
Parent function f(x) = 2x.
Transformed function g(x) = -(2)x+4-2.
By the transformation rule : (1) reflection across x - axis f(x) →→ -f(x) .
(2) f(x) →→ f(x) + k it mean function shifted up by k unit.
(3) f(x) →→ f(x) - k it mean function shifted down by k unit.
Then
f(x) = 2x →→→→-(2)x+4-2.
It mean function f(x) first reflect across x axis and then shifted 4 unit up and then 2 unit down.
Therefore, function f(x) first reflect across x axis and then shifted 4 unit up and then 2 unit down.
1. A ball is dropped from a height of 225 feet. The ball’s height y (in feet) after t seconds can be modeled by y = 225-16t2 . After how many seconds does the ball hit the ground?
Three fourths of the students in class said they like word problems . If fewer than 30 students said they like word problems , how many students are there ?
To compute for the total number of students in the class, you have to divide the fraction of the students who said they like word problems with the number of students who said they like word problems.
30 students / ¾ of the students said they like word problems = 40 students are there in the class
Find n (write in simplest radical form)
Perform the following calculations.
To calculate the number of pounds of meat required to feed diners do the following: for poultry or meat with bones, divide the number to be served by 2.5; for meat with little or no bone, divide the number to be served by 3.5; and for fish fillets divide the number to be served by 3.5.
Guests = 100
Meat served = boneless chicken
How many pounds of chicken required?
30
40
250
350,
To feed 100 guests with boneless chicken, divide the number of guests by 3.5 to get 28.57 pounds, and round up to the closest whole number or choose the closest option given. Therefore, you would need 30 pounds of chicken.
The question involves a calculation related to catering and food preparation. To find out how many pounds of boneless chicken are needed to serve 100 guests, use the provided guideline: 'for meat with little or no bone, divide the number to be served by 3.5.' Therefore, we perform the calculation:
Number of guests ÷ Serving ratio = Required meat in pounds
100 ÷ 3.5 = 28.57 pounds
Since you cannot have a fraction of a pound of chicken when buying, you would need to round up to the closest whole number. Therefore, you would need 29 pounds of boneless chicken to serve 100 guests. However, to answer the multiple choice question provided, the closest option given is 30 pounds, which should be sufficient to feed 100 guests with slight leftovers.
You must be at least 48 inches tall to ride a certain roller coaster.iIan is 3 ft, 11 in. tall. Is ian tall enough to ride the roller coaster?