A swimming pool that holds 10,000 gallons of water is being filled at a rate of 600 gallons per hour. The function h(x)=600x represents the amount of water in the pool after x hours. Find h(3.25).
Answer:
16.6
Step-by-step explanation:
In 3.5 hours, a total of 1950 gallons of water will be filled in swimming pool.
What is the general form of a linear function?The general form of a linear function is given as follows -
y = kx
or
y = kx + c
Given is a swimming pool that holds 10,000 gallons of water is being filled at a rate of 600 gallons per hour. The function h(x)=600x represents the amount of water in the pool after [x] hours.
The linear function that represents the amount of water in the pool after [x] hours is given by -
h[x] = 600x
Now, for x = 3.5, the amount of water in the pool will be -
h[3.25] = 600 x 3.25 = 1950 gallons of water.
Therefore, in 3.5 hours, a total of 1950 gallons of water will be filled in swimming pool.
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if the original price was $19.99, estimate the new price by first rounding the original price
Answer: $20.00
Step-by-step explanation:
Answer:
When rounded the answer will be $20.00.
Step-by-step explanation:
Determine whether the samples are independent or dependent. Upper A data set includes the age at marriage for 90 randomly selected married men and 90 randomly selected married women. nbsp Choose the correct answer below.
A. The samples are independent because there is a natural pairing between the two samples.
B. The samples are dependent because there is a natural pairing between the two samples.
C. The samples are dependent because there is not a natural pairing between the two samples.
D. The samples are independent because there is not a natural pairing between the two samples.
Answer:
D. The samples are independent because there is not a natural pairing between the two samples
explanation:
Independent samples do not affect each other as each group is selected randomly. They are common in statistical analysis, example: when there is a control group and an experimental group and the subjects for each group are different. In the above example, the samples do not depend on each other. There are 90 randomly selected married men in one group and 90 randomly selected married women in the other. The subjects are different in the two groups and so they do not affect each other. This is unlike dependent/paired samples where for example same subjects are used before and after a medication and therefore each group affects the other.
A soccer team won 11 games last year. This year they won 13 games. What was the percent increase in the number of games they won?
Answer:
About 18% increase
Step-by-step explanation:
??help me please now
Answer:
x^2+10x+24
Step-by-step explanation:
(x+6)×(x+4)
=x^2+4x+6x+24
=x^2+10x+24 (ans)
2x+10=6(x-1) What does x equal
Answer:
x=4
Step-by-step explanation:
2x+10=6(x-1)
2x+10=6x-6
10=6x-2x-6
10=4x-6
16=4x
4=x
Plz answer correctly! thnx! :)
Which of the following describe 4/8
Answer:
4/8 is one half.
Step-by-step explanation:
4/8 -- 4 goes into both the numerator and denominator -- 4 goes into 4 one time and 4 goes into 8 two times.
Therefore, you have 1/2.
Answer:
4/8=.5 or 1/2
Step-by-step explanation:
4/8 can be reduced to 1/2
The parabola LaTeX: f\left(x\right)=x^2f ( x ) = x 2 was translated up by 4 units.
What is the function rule for the new transformed parabola LaTeX: g\left(x\right)g ( x )?
Group of answer choices
LaTeX: g\left(x\right)=4x^2 g ( x ) = 4 x 2
LaTeX: g\left(x\right)=\left(x+4\right)^2 g ( x ) = ( x + 4 ) 2
LaTeX: g\left(x\right)=x^2+4 g ( x ) = x 2 + 4
LaTeX: g\left(x\right)=\left(x-4\right)^2 g ( x ) = ( x − 4 ) 2
Answer:
C. g(x) = x²+4
Step-by-step explanation:
Given the parabola function f(x) = x²
Translating the function up by 4 means adding the constant value of +4 to the function since it's translated along the positive y axis. The resulting function g(x) will be x²+4
Hence the correct answer is g(x) = x²+4. Option C is correct.
What is the value of this expression? Select all that apply (8.59 x 10^4) - (3.2 x 10^3)
Answer:
A. 8.27*10^4
D. 82,700
Step-by-step explanation:
Tasnia had a piece of ribbon that was 6 ½ yards long. She used this ribbon to make bows. Each bow was made from a piece of ribbon that was ⅓ yard long. This situation can be represented by the equation 6 ½ ÷ ⅓ = 19 ½ . Which statement best describes what the quotient 19 ½ represents?
Answer: the number of bowss that can be made.
Step-by-step explanation:
You didn't give the options but let me help out.
We are told that Tasnia had a piece of ribbon that was 6 ½ yards long and that she used this ribbon to make bows. We are further told that each bow was made from a piece of ribbon that was ⅓ yard long and that this situation can be represented by the equation 6 ½ ÷ ⅓ = 19 ½.
The quotient gotten above simply means the number of bowss that can be made.
Two one third plus six three fifths
Please help ASAP! (Photo)
Answer:a sq+ b sq= c sq
Step-by-step explanation: add a and b and the answer is c
please help i will mark brainliest
Answer:(3,-5)
Step-by-step explanation:
Answer:
The answer will be
B. (3,-5)
Only 5 and 6. Please help me need it for now
Answer:
5)1075000000
6)333.333333333
Step-by-step explanation:
5)4.3*10^3=4300
2.5*10^5=250000
6)3*10^6=3000000
9*10^3=9000
Step-by-step explanation:
5.)
(4.3 × 10³) × (2.5 × 10⁵)
10.75 × 10⁸
the following two triangles are congruent. Select the correct statement for the correct corresponding part that must be congruent.
Answer:
You are correct.
Step-by-step explanation:
y and j are the vertexes. Given that M and S are the corresponding parts of the 2 triangles, I would say you picked the right answer. But the question is ambiguous and there might be some hidden meaning why this is wrong. The reason might not stand up in a court of law, but instructors do hold the gun at your head.
Curse at it and move on.
Find three different integer solutions to the equation -3x-y=-1
Answer:
The integers are -3, x, and -y
Step-by-step explanation:
Charlotte works in a calling center making appointments for a local lawn care service. She earns $40 each full workday plus an additional $2 for each appointment that she schedules. Today, Charlotte needs to earn at least $75. Write an inequality to describe this situation. In two or more complete sentences, describe the solution set of this inequality and what it means for Charlotte.
x = number of appointments
y = total amount earned in dollars
The total earnings equation is y = 2x+40
The 2x is from her earning $2 per appointment. If she makes x of them, then she earns 2x dollars. This is on top of the $40 from working the full day.
She wants to earn at least $75. This means she wants to earn $75 or more.
This means,
[tex]y \ge 75\\\\2x+40 \ge 75\\\\2x \ge 75-40\\\\2x \ge 35\\\\x \ge \frac{35}{2}\\\\x \ge 17.5[/tex]
Since x is the number of appointments, and we can't have a fractional number of appointments, we must round up to x = 18. This is the lowest number of appointments she can do and earn $75 or larger.
If x = 17, then
y = 2x+40 = 2*17+40 = 34+40 = 74
which is not 75 or larger
But if x = 18, then
y = 2x+40 = 2*18+40 = 36+40 = 76
which is larger than 75, so we've cleared the hurdle.
We can say the solution set is [tex]x \ge 18[/tex] where x is a whole number. So she could book x = 18, x = 19, x = 20, x = 21, etc as the number of appointments to reach her goal.
In summary, she must schedule at least 18 appointments to earn $75 or more.
Since she makes $2 for every appointment she makes we would need to use 40+2n so she would get $2 per appointment no matter how many appointments she makes. Also, we wouldn't use an equal sign because they didn't say she needed to earn exactly $75. They said she needed to earn "at least" $75. At least means equal to or greater than ≥. So the inequality would be 2n+40≥75. PRO TIP: Any time it asks you to write an inequality you will use either <, >, ≤, or ≥ not an =.An equation uses =, an inequality uses the other symbols
state the slope and a point on the line y - 18 = 71.3(x +98)
explain how you got your answer
Answer:
slope = 71.3 and a point (0, 7005.4)
Step-by-step explanation:
the slope in an equation of the form y = mx+b, m is the slope so multiply 71.3 through the brackets and then add 18 to both sides and that is the equation in y=mx+b format and 71.3 is the slope and b os the y-intercept which turns out b=7005.4 and since its a y-intercept x = 0
Answer:
The slope is 71.3 and the point on the line is (h, k): (-98, 18)
Step-by-step explanation:
y - 18 = 71.3(x +98) is to be solved for the slope and a point on the line represented by this equation.
Refer to the point-slope formula y - k = m(x - h), where (h, k) is a point on the ine and m is the slope of the line.
Comparing y - 18 = 71.3(x +98) to
y - k = m(x - h),
we readily see that k = 18, h = -98 and m = 71.3
The slope is 71.3 and the point on the line is (h, k): (-98, 18)
NEED HELP ASAP!!!!!!! WILL GIVE BRAINLIEST!!!!!!
Rectangle ABCD is in the coordinate plane. Which of the following is a valid definition of a reflection of rectangle ABCD?
A. Every point X on ABCD is mapped to a new point X′ such that each length from X toX′ is the same.
B. Every point X on ABCD is mapped to a new point X′ such that the distance from X to the line of reflection is the same as the distance from X′ to the line of reflection.
C. Every point X on ABCD is mapped to a new point X′ such that the coordinates of X′ are opposites of the coordinates of X.
D. Every point X on ABCD is mapped to a new point X′ such that one coordinate of X′ is the same as in X and the other coordinate of X′ is the opposite of the other coordinate in X.
The definition of a reflection of rectangle ABCD is option D:
"Every point X on ABCD is mapped to a new point X' such that one coordinate of X' is the same as in X, and the other coordinate of X' is the opposite of the other coordinate in X".
When a reflection occurs, each point on the original shape is mapped to a new location on the reflected shape.
Option A states that every point X on ABCD is mapped to a new point X' such that each length from X to X' is the same. This definition does not capture the essence of a reflection because it doesn't consider the relationship between the original shape and its reflection.
Option B states that every point X on ABCD is mapped to a new point X' such that the distance from X to the line of reflection is the same as the distance from X' to the line of reflection.
Option C states that every point X on ABCD is mapped to a new point X' such that the coordinates of X' are opposites of the coordinates of X.
Option D correctly captures the nature of a reflection. This states that each point X on ABCD is mapped to a new point X' where one coordinate of X' is the same as in X, and the other coordinate of X' is the opposite of the other coordinate in X.
Therefore, option D is the valid definition of a reflection of rectangle ABCD.
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1/3 of a number is 4 less than 1/2 of the number, the number is
Answer:
12
Step-by-step explanation:
1/2x=3/4x−3⇒2x=3x−12⇒x=12
Is 13/12 greater then 6/5?
Answer:
yes
Step-by-step explanation:
Solve the system of linear equations by substitution. x=16−4y 3x+4y=8
Answer:
Solution: (-4,5)
Step-by-step explanation:
x=16-4y
3x+4y=8
-----
The 1st equation tells you x = 16-4y
---
Substitute that into the 2nd equation
and solve for "y":
3(16-4y)+4y = 8
48 - 12y + 4y = 8
-8y = -40
---
y = 5
---
Solve for "x"
x = 16-4y
x = 16-4*5
x = 16-20
x = -4
The given system of equations has (-4, 5) as its solution.
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have the following system of equations -
x = 16 - 4y
3x + 4y = 8
Now, we can write -
3x + 4y = 8
3(16 - 4y) + 4y = 8
48 - 12y + 4y = 8
40 = 8y
y = 5
Then, we can write -
x = 16 - 20
x = - 4
Therefore, the given system of equations has (-4, 5) as its solution.
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Solve:
10 -0.75x < 7
Please and thank you
Answer:
The answer is x<4
But the girl over me just did it for points
Answer:
x<4
Step-by-step explanation:
Which of the following quadratic equations has no real solution?
A) x^2-6x-2=0
B) 4x^2+4x+1=0
C) x^2+3x-5=0
D) 2x^2-4x+3=0
Please help will mark brainliest if correct
Answer:
Step-by-step explanation:
The triangles can not be proven congruent.
We have AAA theorem ⇒ given triangles are similar for sure.
A bird flies south. Its distance from its nest, as a function of time, is modeled by y=20x+1. Which statement best describes the function
Answer:the function is linear
Step-by-step explanation:
Answer:
it linear
Step-by-step explanation:
AP3X verified
how do I work out this problem
sofia opens a new savings account with a 2.25% simple interest rate. She deposited $3500 and earned $3696.88 total by the time she checked the account again. How long was the money left untouched in the savings account?
How to calculate the H-Method of
f(x)= -2,5x² x0=4 ?
I really have no clue
Answer:
Yotmpocoa ngo ni ideate
Step-by-step explanation:
If I charged 30$ a hair cut the whole year how many customers would I need to have to get 17,510$ and how many times would my customers have to see me within that year
Answer: Around 584 people would have to get a haircut at 30$, if you are looking for 17,510$
Step-by-step explanation: