Complete Question
The complete question is shown on the first uploaded image
Answer:
6a
[tex]V(3) = 113.112[/tex]
6b
[tex]V(\frac{3}{2}) = 14.139 [/tex]
6c
[tex]V(2r) = 33.514r^3[/tex]
7a
[tex] h(5) = 0 [/tex]
7b
[tex] h(t) = -5.76 [/tex]
7c
[tex] h(x+5) = x(x+5)[/tex]
Step-by-step explanation:
Considering the question 6
The function given is [tex]V(r) = \frac{4}{3} \pi r^3[/tex]
For V(3) we have
[tex]V(3) = \frac{4}{3} \pi 3^3[/tex]
[tex]V(3) = \frac{4}{3} * 3.142 * 3^3[/tex]
[tex]V(3) = 113.112[/tex]
For [tex]V(\frac{3}{2})[/tex]
[tex]V(\frac{3}{2}) = \frac{4}{3} * \pi * (\frac{3}{2})^3 [/tex]
[tex]V(\frac{3}{2}) = \frac{4}{3} * 3.142 * (\frac{3}{2})^3 [/tex]
[tex]V(\frac{3}{2}) = 14.139 [/tex]
For V(2r)
[tex]V(2r) = \frac{4}{3} \pi (2r)^3[/tex]
[tex]V(2r) = \frac{4}{3} * 3.142*8r^3[/tex]
[tex]V(2r) = 33.514r^3[/tex]
Considering the question 7
The function given is [tex] h(t) = t^2 - 5t [/tex]
For h(5)
[tex] h(5) = 5^2 - 5(5) [/tex]
[tex] h(5) = 0 [/tex]
For h(1.8)
[tex] h(t) = 1.8^2 - 5(1.8) [/tex]
[tex] h(t) = -5.76 [/tex]
For h(x+ 5)
[tex] h(x+5) = (x+5)^2 - 5(x+5) [/tex]
[tex] h(x+5) = x^2 + 25+10x-5x-25[/tex]
[tex] h(x+5) = x(x+5)[/tex]
4). A rectangle is twice as long as its width. One way to write an expression to find the perimeter
would be w+w+2w + 2w. Write the expression in two other ways.
Step-by-step explanation:
p= 2(L+w)
= 2(2x+y)
or
P=L+L+L+L
=2x+y+2x+y
If a = 2 b=-3 then find the value of 2a - 4b?
Given:
a=2b=-3Question:
2a - 4b
Step by step explanation:
Step 1:
2×2-4×(-3)
Step 2:
4-4(-3)
Step 3:
4+12
Step 4:
16
So 16 is correct answer
hope it helped you :)
Answer
16
Step-by-step explanation:
2×2-4×-3=
4+12=
16
The midpoint of AB is M(1,1). If the coordinates of A are (-2,5), what are the coordinates of B?
Answer:
Step-by-step explanation:
(x - 2)/2 = 1
x - 2 = 2
x = 4
(y + 5)/2= 1
y + 5 = 2
y = -3
(4, -3) Coordinates of B
The coordinates of endpoint B is (4,-3).
What is the line segment?In geometry, a line segment is a part of a line that is bounded by two end points, and contains every point on the line that is between end points.
Now it is given that,
Mid point of line segment = M(1,1) i.e. (x,y)
coordinates of A = (-2,5) i.e. (x₁ ,y₁ )
So we have,
x = 1
y = 1
x₁ = -2
y₁ = 5
Let the coordinates of the end point be B(x₂,y₂)
Since,
x = (x₁+x₂)/2
⇒ x₂ = 2x - x₁
Put the values we get,
⇒ x₂ = 2*1 - (-2)
⇒ x₂ = 2 + 2
⇒ x₂ = 4
Similarly,
y = (y₁+y₂)/2
⇒ y₂ = 2y- y₁
Put the values we get,
⇒ y₂ = 2*1- 5
⇒ y₂ = 2 - 5
⇒ y₂ = -3
Hence, the coordinates of endpoint B is (4,-3)
To learn more about midpoint of line segment :
brainly.com/question/12774890
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Which inequality represented the situation: clint has to spend a minimum of $75 in order to use his coupon at the store
Answer:
i think its c
Step-by-step explanation:
I think thats its C because 75 is the lowest it can go.
4(x-6)=-4 I'll give you brainly
Answer: X = 5
Step-by-step explanation:
solve by multiplying the inside ( )
4x -24 = -4
add 24 to both sides
4x = 20
divide by 4
x = 5
Ann's Paycheck showed a regular weekly salary of $835.50 a deduction of 13.29 a bonus of 34.35 and 28.95 for overtime. what is ANN's final pay?
Answer:
$885.01
Step-by-step explanation:
Answer:
$885.51
Step-by-step explanation:
$835.50-$13.29= $822.21
-The first step is to subtract the deduction. Deduction always means subtract.
$822.21+$34.35= $856.56
-Once you get the new total by subtracting the deduction, you have to add the bonus. Bonus always means add.
$856.56+$28.95= $885.51
-Finally, when you work overtime at a job, your employer is required by law to pay you extra. Add the overtime and get the final total of $885.51.
Rewrite in simplest radical form! Show your work.
[tex]x^{\frac{1}{\frac{-3}{6} }}[/tex]
First, let's deal with the fraction in the denominator of the exponent. Multiply the top and bottom of the exponent by 6.
[tex]x^{\frac{6}{-3} }[/tex]
Now that the fraction in the denominator is taken care of, we can reduce the denominator.
[tex]x^{-2}[/tex]. Some professors might accept this as simplest form, but others might ask you to get rid of the negative.
[tex]x^{-2} = \frac{1}{x^{2} }[/tex]
Answer:
*i forgot what a radical is but* your answer is -2
Step-by-step explanation:
there is something called
REDUCE COMPOUND FRACTIONS
basically it's
[tex]m/f/t[/tex]
so
[tex]1/-3/6\\[/tex]
is gonna be
[tex]1*6/-3[/tex]
which is -2
What is the slope for this?
Answer:
1/2
Step-by-step explanation:
(-4--2)/(3-7)=-2/-4=1/2
Answer:
b. 1/2
Step-by-step explanation:
Points: (7, -2), (3, -4)
slope = (y2 - y1)/(x2 - x1)
slope = (-4 - (-2))/(3 - 7) = (-4 + 2)/(-4) = -2/(-4) = 1/2
Need some help on this
How could you write the numerical expression “4x + 1.25” in words?
Tom has a cube a rectangular prism. Triangular prism Which of his shapes have more than six vehicles
WILL GIVE BRAINLYIEST Which item, A or B has a higher overall net force? Show your work and include units.
Answer:
a does because 5-3= 2 net force to the right and b would total out to 1 to the right
Step-by-step explanation:
You want to leave a nice tip on a $36 meal. So you decide to add 20% to the bill. How much is the total bill?
Answer:
43.20
Step-by-step explanation:
First find the tip
36 * 20 %
36 * .2
7.20
Then add the tip to the amount of the meal
36+7.20
43.20
You went to have a meal which costs $36, and maybe becoming very delighted with the taste and service of the food centre, you decided to add a tip.
[tex]20\%[/tex] of the total meal.So, First we need to find the tip by multiplying the percentage with the cost of meal
Tip:
[tex]20\% \: of \: 36[/tex]
[tex] \frac{20}{100} \times 36[/tex]
[tex] \frac{1}{5} \times 36[/tex]
[tex]7.2[/tex]
Now, we have got the amount of money we decided to give as a tip. And, we are already having the cost of meal. So, total money paid:
[tex]36 + 7.2[/tex]
[tex] \boxed{ 43.2}[/tex]
This is our required answer.
#CarryOnLearning
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3/4 of a cup of pasta sauce for every 12 ounces whats the unit rate
Answer:
the unit rate is 1/4 every 4 ounces
Step-by-step explanation:
12/3=4 3/3=1 so 1/4 of a cup every 4 ounces.
PLEASE HELP ASAP!!!!!!!!!!!!!!!!
Answer:
ok hold on lemme go get something then ill edit my answer
Step-by-step explanation:
What is the image of (-7, -9) after a reflection over the x-axis?
Answer:
(-7,9)
Step-by-step explanation:
When you flip over the x-axis, the y-value changes its sign. Vice versa.
[tex]\huge\boxed{\boxed{\bold{(-7, 9)}}}[/tex]
[tex]\hrulefill[/tex]
To reflect a point across the [tex]x[/tex]-axis, multiply or divide its [tex]y[/tex] coordinate by [tex]-1[/tex]:
[tex]P'=(-7, -9*-1)[/tex]
Multiply:
[tex]P'=\large\boxed{(-7, 9)}[/tex]
An image is attached showing the original point ([tex]P[/tex]) and its image ([tex]P'[/tex]).
On Gabriela's first birthday, her parents gave her a $50 savings account on every birthday after that her parents added to the account,
increasing the amount they deposited by $25 each year. Complete the recursive definition for the sequence that represents this situation by
finding the values for a, and d.
Initial amount , a = $50 .
Increase in price , d = $25 .
We need to find the recursive relation of the sequence .
If we notice it is an arithmetic progression with common difference $25 .
Which means that difference between any two consecutive term is 25 .
So , T(n) - T(n-1) = 25
T(n) = T(n-1) + 25 .
Hence , this is the required solution .
Brad drives 527 miles on 17 gallons. How many miles does Brad drive on one gallon? (5 points + Brainiest!)
a
31 miles per gallon
b
527 miles per 17 gallons
c
5.27 miles per gallon
d
1 over 31 miles per gallon
Answer:
d
Step-by-step explanation:
527 / 17 = 31
Quadrilateral KLMN is similar to quadrilateral WXYZ. K Y Z W N M Complete the statements below. 1. Angle NKL is congruent to angle
Angel nkl is congruent to what angle
Answer:
Angle NKL is congruent to angle XYZ.
Step-by-step explanation:
I took the test and it was right
Hope this helped
Find the difference
16-(-4)
i need help ASAP
Can you help please
Expand each expression and combine like terms if possible
2/3 (x+ 18 - 2x)
Answer:
This is the expression expanded
Step-by-step explanation:
y varies directly with x, and y=24 when x=-15. what is x when y=16? a) 10 b) -22.5 c) -10 d) -25.6
Answer:
c
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 24 when x = - 15, then
24 = - 15k ( divide both sides by - 15 )
k = [tex]\frac{24}{-15}[/tex] = - [tex]\frac{8}{5}[/tex] = - 1.6 , thus
y = - 1.6x ← equation of variation
When y = 16, then
16 = - 1.6x ( divide both sides by - 1.6 )
x = - 10 → c
Graph the solution on the number line 3x + 3) - 244 or 1-**-1
I need answer
Ben buys bottles of sports drinks from the store for $2 each and takes them to his school's football games. He sells
them to the crowd for $5 each.
How many bottles
does he need to sell to make a profit of $75?
Answer:
15
Step-by-step explanation
We divide the amount he's selling them for, by the amount of money he needs to make.
75 divided by 5 equals 15.
He needs to sell 15 sports drinks to make $75.
Answer:
25
Step-by-step explanation:
75:(5-2)=25
and to check it
2×25=50
25×5=125
profit = 125-50
profit=75
answer is 25
Calculating overtime pay
Answer:
Hourly pay rate x 1.5 x hours worked overtime.
Step-by-step explanation:
For example, if you had an hourly wage of $10, you would first:
Start with the $10 owed. Then:
Multiply your hourly pay by 1.5 to get $15.
Lastly, multiply this number by how many hours you worked overtime. Let's say you work 5 hours overtime. Multiply the $15 by the 5 hours worked overtime, and you should get $75.
An equation to help you solve this could look something like this:
Y*1.5*O=T, where the variable "Y" is hours works, the variable "O" is the hours worked overtime, and the variable "T" is the total amount of money earned for working overtime.
what is 5.2 divided by 0.8
Answer:
Hey There!
5.2 divided by 0.8 IS 6.5!
Step-by-step explanation:
This means that 0.8 goes into the number exactly 6.5 times...
I HOPE THIS HELPS!!
How do you solve a problem involving squeeze theorem?
Answer:
Step-by-step explanation:
if two functions are squeezed together at a particular point , then any function trapped between them will get squeezed to that point. the squeeze theorem deals with limit value , rather than function value. the squeeze theorem sometimes called Pinch Theorem.
PLEASE HELP THIS IS THE LAST QUESTION AND I WANT TO GO TO BED. PLEASE EXPLAIN SO I CAN DO IT FOR NEXT TIME AS WELL
0= -5/4(x - 6/5) find the solution to x
Answer:
x = 6/5
Step-by-step explanation:
Solve for x:
0 = (-5 (x - 6/5))/4
Hint: | Put the fractions in x - 6/5 over a common denominator.
Put each term in x - 6/5 over the common denominator 5: x - 6/5 = (5 x)/5 - 6/5:
0 = (-5)/4 (5 x)/5 - 6/5
Hint: | Combine (5 x)/5 - 6/5 into a single fraction.
(5 x)/5 - 6/5 = (5 x - 6)/5:
0 = (-5)/4 (5 x - 6)/5
Hint: | In (-5 (5 x - 6))/(5×4), divide -5 in the numerator by 5 in the denominator.
(-5)/5 = (5 (-1))/5 = -1:
0 = (-1 (5 x - 6))/4
Hint: | Reverse the equality in 0 = (-(5 x - 6))/4 in order to isolate x to the left hand side.
0 = (-(5 x - 6))/4 is equivalent to (-(5 x - 6))/4 = 0:
(-(5 x - 6))/4 = 0
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (-(5 x - 6))/4 = 0 by -4:
(-4 (-(5 x - 6)))/4 = -4×0
Hint: | In (-4 (-(5 x - 6)))/4, divide -4 in the numerator by 4 in the denominator.
(-4)/4 = (4 (-1))/4 = -1:
--1 (5 x - 6) = -4×0
Hint: | Multiply all instances of -1 in -(-(5 x - 6)).
(-1)^2 = 1:
5 x - 6 = -4×0
Hint: | Any number times zero is zero.
0 (-4) = 0:
5 x - 6 = 0
Hint: | Isolate terms with x to the left hand side.
Add 6 to both sides:
5 x + (6 - 6) = 6
Hint: | Look for the difference of two identical terms.
6 - 6 = 0:
5 x = 6
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 5 x = 6 by 5:
(5 x)/5 = 6/5
Hint: | Any nonzero number divided by itself is one.
5/5 = 1:
Answer: x = 6/5
202·87–100·87–2·87=
Step-by-step explanation:
202·87–100·87–2·87
=99.13
Answer:
8700
Step-by-step explanation:
If you want it evaluated, this is the answer. 202 ·87-100·87-2·87= 17574-100·87-2·87=17574-8700-2·87=17574-8700-174= 8700