6. Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.) 7. Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.)
Answers
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]
Related Questions
A. -3
B. 6
C. 5
D. -4
Answers
Answer:
B
Step-by-step explanation:
So we want to find the value of x.
Note that the entire segment (JK) is the sum of the segments JI and IK. In other words:
[tex]JK=JI+IK[/tex]
We know that JK is (2x-1), JI is (2), and IK is (x+3). Substitute:
[tex]2x-1=(2)+(x+3)[/tex]
On the right, add:
[tex]2x-1=x+5[/tex]
Add 1 to both sides:
[tex]2x=x+6[/tex]
Subtract x from both sides. The right cancels:
[tex]x=6[/tex]
And the value of x is 6.
Our answer is B.
Sal, John and Desmond have formed a partnership. The total investment was $750,000.
Sal owns 40% and John owns 25% of the partnership. How much did Desmond invest?
Answers
Find 7x+y when x=4 and y=5. *
Answers
Answer:
7x+y, when x+4 and y+5
7(4) + 5=
28+5=
33
Step-by-step explanation:
Hope this helps. :)
The perimeter of the triangle is 13 inches. What is the length of the shortest side?
Answers
Answer:
shortest side = 3 in
Step-by-step explanation:
Sum the 3 sides and equate to 13, that is
x - 5 + 6 + [tex]\frac{x}{2}[/tex] = 13, that is
x + 1 + [tex]\frac{x}{2}[/tex] = 13 ( subtract 1 from both sides )
x + [tex]\frac{x}{2}[/tex] = 12 ( multiply through by 2 to clear the fraction )
2x + x = 24
3x = 24 ( divide both sides by 3 )
x = 8
Thus
x - 5 = 8 - 5 = 3 and [tex]\frac{x}{2}[/tex] = [tex]\frac{8}{2}[/tex] = 4 , then
The shortest side is x - 5 = 3 in
2. Regina, Phil and Joseph each wrote expressions to represent their hourly
earnings for an after-school job where h represents the number of hours
worked. Regina: 6.50h + 16 Phil: 3(2.5h + 5) Joseph: 7.50h + 10 Phil says that there
will never be a week where he and Joseph can earn the same amount of money.
Do you agree or disagree? Explain (Distinguished).
Answers
Answer:
Step-by-step explanation:
s
c
h
o
2
l
,
h
,
h
o
u
r
s
,
6.5
h
+
16
,
7.5
h
+
15
,
7.5
h
+
10
,
a
w
e
2
k
Answer:
AGREE
Step-by-step explanation:
I agree because Phill will always have $5 more than Joesph.
(the other answer was a little dumb and confusing.Plz like and give 5 stars thanks!)
What is the sum of -5 and -5?
Answers
Given the conditional: If the game is field hockey, then the game is a team sport. Find the converse and determine its truth value.
Answers
Answer:
"If the game is a team sport, the game is field hockey"
Truth value → True
Step-by-step explanation:
The conditional statement is,
"If the game is field hockey, then the game is a team sport"
There are two statements,
Statement p → The game is a field hockey.
Statement q → Game is a team sport.
For the converse statement,
If p then q (q → p)
So the converse will be,
"If the game is a team sport, the game is field hockey"
Since, both the statements p and q are TRUE, truth value will be TRUE.
(Converse is false only when q is false and p is true)
what is 9 1/3cm + 21cm + 7cm
Answers
Answer:
37 1/3 cm
Step-by-step explanation:
21 + 7 = 28
28 + 9 = 37
37 + 1/3 = 37 1/3
1. Simplify: (3x + 4y – 2z) - (-2z + 6y)
Answers
Answer: x - 2y + 2z
keep it in alphabetical order!
Step-by-step explanation:
the negative on the outside changes what is on the inside, so the new equation will be
3x + 4y - 2x + 2z - 6y
combine like terms
x - 2y + 2z
Answer: 3x +10y
Step-by-step explanation:
first you put all the common integers (i think that is what they are called) together
3x+4y+6y-2z-(-2z)
Then you add and subtract all the integers
4y+6y=10y
-2z-(-2z)=0
so the answer is
3x+ 10y
Hopefully this is the right answer
God bless you!!
Well someone deleted y other question so whats 5x5+3-4.
Answers
Answer:
24
Step-by-step explanation:
5×5 +3 - 4
25 +3 - 4
28 - 4
24
Answer:
24
Step-by-step explanation:
Naomi invested $270 in an account in the year 2004, and the value has been growing
exponentially at a constant rate. The value of the account reached $300 in the year
2006. Determine the value of the account, to the nearest dollar, in the year 2011.
Answers
Answer:
390
Step-by-step explanation:
100% CORRECT
10.) A box is created from a sheet of cardboard 20 in, on a side by cutting a square from each corner and folding up the sides Let x represent the length of the sides of the squares removed from each corner. Find an expression for the volume of the box in terms of x
Answers
Answer:
the volume will be (20-2x)(20-2x)(x)
Step-by-step explanation:
assuming its a square
Point D is on line segment CE.Given DE = 4 and CD
СЕ. .
8, determine the length
CE
Answers
Mia is a competitive dart player. The graph below is a record of Mia's last three darts, where (0,0)(0,0)left parenthesis, 0, comma, 0, right parenthesis is the center of the bullseye. 3 points on a coordinate plane. The point labeled, "Dart A," is at -3, -6. The point labeled, "Dart B," is at -7, 0. The point labeled, "Dart C," is at 5, -5. Graph units are in centimeters. What is the distance of Mia's farthest dart from the center of the bullseye? Round the final answer to the nearest tenth of a centimeter. Do not round intermediate calculations.
Answers
Answer:
7.1 cm
Step-by-step explanation:
Answer:
7.07 cm
Step-by-step explanation:
What is the slope of the line that passes though the points:
(10,-2), (10,3)
Answers
Answer:
Undefined
Step-by-step explanation:
Point Q is on line segment PR.Given
PQ = 5 and QR = 8, determine the
length PR.
PR
Answers
Take a look below.
Answer is attached.
Answer:
13
Step-by-step explanation:
Step 1:
PQ + QR = PR
Step 2:
5 + 8 = PR
Answer:
PR = 13
Hope This Helps :)
Of the total runs made by Indian team during a cricket match Sachin scored 44% and dhoni scored 39% if Sachin scored 30 runs more than Dhoni find the score of indian team
Answers
Answer:
difference in percentage = 44-39=5%
difference in number =30
let total number of run by team be x
5% 0f x= 30
0r 5x = 3000
x= 300/5 = 600
Step-by-step explanation:
Write an algebraic expression for the two verbal expressions: 1. The product of 5 and twice a number x, decreased by the product of 3 and that same number. 2. Twice the sum of a number x, and another number y, increased by the product of the first number squared and 8.
Answers
Answer:
7x for the first expression
2x + 2y + 8x^2
Step-by-step explanation:
5(2x) - 3x
= 10x - 3x = 7x
2x + 2y + x^2(8)
= 2x + 2y + 8x^2
I need help Finding the area
Answers
The area is 10 units^2
Right side triangle: A = 1/2bh
A = 1/2(8 units^2)
A = 4 units^2
Left side triangle: A = 1/2bh
A = 1/2(4 units^2)
A = 2 units^2
Square: A = lw
A = 2x2 units^2
A = 4 units^2
Total area: right triangle + left triangle + square
Total area = 10 units^2
[tex]\text{Hello! :)}[/tex]
[tex]\large\boxed{10 \text{ units} ^{2} }[/tex]
[tex]\text{To find the volume, we can divide the shape into 3 different shapes}\\\\\text{A triangle with b = 2 h = 2, a square with s = 2, and a triangle of b = 4 and h = 2}\\\\\text{Therefore:}\\\\[/tex][tex]\text{Area of a triangle: A = 1/2(bh), Area of a square: } A = s^{2} \\ \\A = 1/2(2 * 2)\\A = 1/2(4)\\A = 2 \\\\A = 2^{2} \\A = 4\\\\A = 1/2(4 * 2)\\A = 1/2(8)\\A = 4\\\\\text{Add up the areas:}\\\\2 + 4 + 4 = 10 \text{ units} ^{2}[/tex]
What is the first step in evaluating the expression shown below?
12 ÷ (74 – 36) + 8 – 2
a
Subtract 74 – 36.
b
Divide 12 ÷ 74.
c
Add 36 + 8.
d
Subtract 8 – 2.
Answers
Answer:
A
Step-by-step explanation:
because it is is parenthesis
If g(x) = x2 + 12, what does f(8) equal?
48
76
66
28
Asap pls
Answers
Is 0.7 a rational or irrational number?
Answers
0.7 is a rational number.
Explanation:Because it is a terminating decimal expansion.
Answer:
0.7 is a rational number- experssed as a fraction, it is equal to 7/10
I do not get it pls help ASAP
Answers
Answer:
17 ft.
Step-by-step explanation:
just add all the values to get the perimeter.
Perimeter = 3ft +4+3+4+3
=17 feet
Therefore.., 17ft is the perimeter..
If this answer helps you plz mark as brainlist..last year the number of cars sold was 39000 more than three times the number of trucks sold there were 216,000 cars sold last year write an equation that can be used to find the number of trucks,t, sold last year. answer
Answers
Answer:
25272 to the 10 power
Step-by-step explanation:
Find the value of the remaining variable in the formula. Use 3.14 as an approximation for a (pi).
P=2L+2W (perimeter of a rectangle); L = 4, W= 2
P =
Enter your answer in the answer box.
Answers
Answer:
P = 12
Step-by-step explanation:
Given formula for the perimeter 'P' of a rectangle is,
P = 2L + 2W
If the values of L and W are,
L = 4 and W = 2
Perimeter of the rectangle = 2(L + W)
= 2(4 + 2)
= 2 × 6
= 12 units
Therefore, value of remaining variable 'Perimeter' = 12 units
(There is no use of 'pi' in calculating the perimeter of a rectangle).
Expressions that simplify to the same expression are called _ _ _ _ _ _ _ _ _ _.
Answers
Answer:
Step-by-step explanation: Expressions that simplify to the same equations are called Linear equations.It can simplify the same equation.
Step-by-step explanation:
5.47 rounded to the nearest tenth
Answers
Answer:
5.5
Step-by-step explanation:
5.47 to the nearest tenth. Go to the next digit after tenths. It is greater than 5. So, the tenth digit is one greater. 5.5 is the answer.
The required, 5.47 rounded to the nearest tenth is 5.5.
What is rounding of values?The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
Here,
Rounding to the nearest tenth means finding the number that is closest to the original number but with one decimal place. In this case, the number 5.47 rounded to the nearest tenth would be 5.5.
The rounding rule is to look at the digit in the hundredth place (the digit to the right of the tenth place). If the digit is 5 or greater, we round up to the next whole number. If the digit is less than 5, we leave the number unchanged.
In this case, the digit in the hundredth place is 7, which is greater than 5. So, we round up the digit in the tenth place, making the number 5.5.
So, 5.47 rounded to the nearest tenth is 5.5.
Learn more about round the decimal here;
brainly.com/question/867784
#SPJ1
-{-[-2+3]+[-4+(-8)]}
Hey y’all the answer is 17 but idk how to solve it
Answers
Answer is simple. Remove all the brackets. = - - - 2+3+-4+-8. Two negative becomes positive. So the equation will be-
-++2+3+-4+-8
=-2+3+-4+-8
Now do normal addition of integers.
=-2+3+-4+-8
=-11
Thats what I think the answer is. Hope it helped.
What number is a number that is even and not even at the same time? And what are they divided in half?
Answers
Definitions:
A number, x, is even if it satisfies: x = 2n for some integer n
A number, x, is odd if it satisfies: x = 2k+1 for some integer k
Rewriting the Question:
In this case the question is asking if there is a number, x, that is has the following property:
x = 2n for some integer n AND x = 2k+1 for some integer k
Proof:
We can set these two equations equal:
2n = x = 2k + 1
2n = 2k + 1
2n - 2k = 1
2(n - k) = 1
Let number y = n - k. Note that since n and k are integers, n-k (and therefore, y) must also be an integer.
2y = 1
You can see on the left side (2y) that this becomes the definition of an even number! So the left side is an even number and the right side is 1. Since we know by definition that 1 is not an even number and k must be an integer (not 0.5), this equation becomes false.
As a result, there are NO numbers that can be both even AND odd.
Tommy purchased a riding lawnmower with an original value of
$2,500. If the value of the riding lawnmower decreases by $300 per
year, what should be the value of the lawnmower after five years?
A. $1,000
B. $1,300
C. $1,500
D. $ 2,200