Answer:
The percentage increase in A is 44%. The percentage increase in V is 72.8%.
Step-by-step explanation:
The easiest way to go about solving this problem is to pick your own numbers and plug them into the given equations.
For example, let's say that k = 5 and that r = 10.
[tex]A=kr^{2}[/tex] ⇒ [tex]A= 5 * 10^{2} =500[/tex]
[tex]V=kr^{3}[/tex] ⇒ [tex]V= 5 * 10^{3}= 5000[/tex]
The question is asking, what is the percentage increase if r is increased by 20%. Our chosen k-value will stay the same but our r-value is going to increase. To find the new value of r, we multiply 10, our current value of r, by 1.2. This gives us a new value for r, which is 12.
[tex]10*1.2=12[/tex]
Now, we are going to plug in our new r-value and our k-value into the given equations. k = 5; new r = 12
[tex]A=kr^{2}[/tex] ⇒ [tex]A=5*12^{2}=720[/tex]
[tex]V=kr^{3}[/tex] ⇒ [tex]V=5*12^{3}=8640[/tex]
Next, we have to calculate the percentage increase in our values of A and V. To do this, we use the following formula:
[tex]Percentage Increase = \frac{final - initial}{initial} * 100[/tex]
Percentage Increase for A
Initial value: 500
Final Value: 720
[tex]Percentage Increase = \frac{720-500}{500} * 100 = 44%[/tex]
Percentage Increase for V
Initial value: 5000
Final Value: 8640
[tex]Percentage Increase= \frac{8640-5000}{5000} *100 = 72.8%[/tex]
The percentage increase for A is 44% and the percentage increase for V is 72.8%.
Hope this helps!
Find f(-6) for f(x) = x² - 4x + 5. Be sure to show
your work.
substitute [tex]-6[/tex] in the equation:
[tex]f(x)=x^{2} -4x+5,\\f(-6)=(-6)^{2} -4(-6)+5\\f(-6)=36+24+5\\f(-6)=\boxed{65}[/tex]
a = 5 b = 7 calculate the value of 3AB
Answer:
105Step-by-step explanation:
[tex]a = 5\\ b = 7 \\3ab = ?\\[/tex]
Plug in the given values for a and b into the equation ;
[tex]3(5)(7)\\\\= 3(35)\\\\=105[/tex]
simplify the expression 4(2x-1)-3(x+5)
Answer:
The answer is
5x - 19Step-by-step explanation:
4(2x-1) - 3(x+5)
Expand the terms in the bracket
That's
8x - 4 - 3x - 15
Group like terms
We have
8x - 3x - 4 - 15
We have the final answer as
5x - 19Hope this helps you
Which algebraic represents this word description The product of two and the difference between a number and eleven.
Answer: 2(x-11)
Step-by-step explanation:
Disclaimer: The options are missing. They are as follows:
a. 2(11-x)
b. 11-2x
c. 2x-11
d. 2(x-11)
The algebraic expression that represents the word description: The product of two and the difference between a number and eleven is 2(x - 11). Hence, option d is the right choice.
What is an algebraic expression?An algebraic expression is a combination of variables and constants, as well as algebraic operations (addition, subtraction, etc.). Terms are the building blocks of expressions.
How do we solve the given question?We are asked to find the algebraic expression that represents this word description The product of two and the difference between a number and eleven.
We let the unknown number be x.
We are said that the expression is the product of two and the difference between a number and eleven.
The difference between a number and eleven can be written as x - 11.
Now we need the product of this and two, that can be written as:
2(x - 11).
∴ The algebraic expression that represents the word description: The product of two and the difference between a number and eleven is 2(x - 11). Hence, option d is the right choice.
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5x+1≤−145x+1≤-14 or −4+6<10-4+6<1
help pls
Answer:
No Solution or 0
Step-by-step explanation:
Combine like terms: constant numbers
Isolate x
Plug back into equation but the answers x=0 and x greater than or equal to 3/29 overlap so no solution.
I need help with this question
Answer:
[tex]\frac{1}{5}[/tex] is the answer
Step-by-step explanation:
[tex]h(x)=\frac{x+3}{5} \\[/tex]
Substituting the -2 in place x
Therefore , h(-2) :
[tex]\frac{(-2)+3}{5} \\\frac{-2+3}{5}\\\frac{1}{5}[/tex]
Answer:
[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]
[tex]h(x) = \frac{ x + 3}{5} [/tex]
value of X is given to us -2
so put it in the equation.
[tex]h(x) = \frac{ - 2 + 3}{5} [/tex]
[tex]h(x) = \frac{1}{5} [/tex]
so the value of x is 1/5
Hope it helps
9. Ryan is remodeling his kitchen floor, which is 110 square feet. He used
31.5 tiles in his kitchen. If Ryan wants to remodel his bathroom, which is 28
square feet, approximately how many tiles would he need? *
Answer:
8 tiles
Step-by-step explanation:
For the kitchen floor, each title that ryan used has an area approximately of 110/31.5 ≈ 3.49 square feet
For his bathroom, Ryan would need about: 28/3.49 ≈ 8 titles
Determine whether each ordered pair is a solution of y = 3x-5. (2,2) (4,7) (6,13) (5,10)
Answer:
(4,7), (6,13), and (5,10)
Step-by-step explanation:
To determine if an ordered pair is a solution, substitute the coordinates in and check to see if they are true:
(2,2)
[tex]y=3x-5\\(2)\stackrel{?}{=}3(2)-5\\2\stackrel{?}{=}6-5\\2\neq1[/tex]
Thus, (2,2) is not a solution.
(4,7)
[tex]y=3x-5\\(7)\stackrel{?}{=}3(4)-5\\7\stackrel{?}{=}12-5\\7\stackrel{\checkmark}{=}7[/tex]
Thus, (4,7) is a solution.
(6,13)
[tex]y=3x-5\\(13)\stackrel{?}{=}3(6)-5\\13\stackrel{?}{=}18-5\\13\stackrel{\checkmark}{=}13[/tex]
Thus, (6,13) is also a solution.
Lastly, (5,10)
[tex]y=3x-5\\10\stackrel{?}{=}3(5)-5\\10\stackrel{?}{=}15-5\\10\stackrel{\checkmark}{=}10[/tex]
Thus, (5,10) is also a solution.
The length of a rectangular painting is 3 inches longer than its width. If the diagonal is 15 inches long, what is the length of
the painting?
A. 9 inches
B. 12 inches
C. 13 inches
D. 18 inches
Please select the best answer from the choices provided
Ο Α
ОВ
ОС
OD
Answer: D, 18 inches
This is a very simple question, what they are requiring of you is to just find the length if it is longer than the width by 3 inches. In the question it mentions that the width is 15 inches long ,so, all you have to do is add 3 to 15 and you get 18 inches.
Answer:
12
Step-by-step explanation:
Don't listen to this fool
pleaaw show graph f(x) = -x+6
This isn't an answer, rather a suggestion. I would use the website desmos to help me. But for future reference I can help you.
f(x) = - x+6 is similar to y=-x+6.
Simply plug in random numbers into the variable x (preferably ones that could fit on your paper like 0,1,2,3...)
Ethan plotted points E, F, G, H, and I on a number line, as shown below. Which two points that Ethan plotted represent numbers that have a sum of 0? Explain how you got your answer
Answer:
F and H
Step-by-step explanation:
From the image attached, the location of the points are E = -9, F = -6, G = -2, H = 6, I = 8. The law of additive inverse states that for a number a, its additive inverse is a number that when added to a equals to zero. This number is usually opposite in sign to a and of the same magnitude i.e -a. The law is given as:
a + (-a) = 0
From the points, F is the additive inverse of H, hence:
F + H = 0
6 + (-6) = 6 - 6 = 0
Hence the two points are F ad H
(M^3/ k^4) ^ -5
Plzzz answer this question it’s urgent
Answer:
k^20/m^15
reason is because you're multiplying ^3 , ^4 with ^-5, the -5 turn positive since you flip the fraction/division
A university's freshman class has 5000 students. 80% of those students are majoring
in Computer Science. How many students in the freshman class are Computer
Science majors?
Answer:
4000
Step-by-step explanation:
5000 * .8 is 4000
Answer:
4000 students
Step-by-step explanation:
Number of computer science majors = 80% of 5000
= 0.8 * 5000
= 4000
There are 30 calories in cup of red seedless grapes. How many calories are consumed if a person eats between and 1 cups of grapes?
Answer:
the first one is 90, the second is 150, the third is option dStep-by-step explanation:
Answer:
Edge 2020
Step-by-step explanation:
Multiplication is doing what to the same number continuously?
Answer:
mutiplying it
Step-by-step explanation:
it is multiplying it because 2×2=4
Answer:
multiplying the answer
(10,000 . x⁻⁴ . y³)³/⁴
Plz answer now
I will mark brainliest
25 POINTS this is an equation -3(2x-1) plz help asap
Answer:
-6x + 3
Step-by-step explanation:
-3(2x - 1)
We use distributive property
so we mulitply the number that is outside of the paraenthesis (-3), to the numbers on the inside (2x - 1)
-3 × 2x = -6x
-3 × -1 = 3
So we have:
-6x + 3
And we cannot combine them so that is the answer.
Hope that helped!
The score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If a player answered 404040 questions and obtained a score of 505050, how many questions did the player answer correctly
Answer:
30
Step-by-step explanation:
A player answers x correct questions and y incorrect questions for a total of 40 questions.
x + y = 40
The score is obtained by subtracting y incorrect answers from two times the x of correct answers. The player's score is 50.
2x - y = 50
Use substitution to solve. Rearrange the first equation so that it is equal to y. Then, substitute the y-value into the second equation.
x + y = 40
y = 40 - x
2x - y = 50
2x - (40 - x) = 50
2x - 40 + x = 50
3x - 40 = 50
3x = 90
x = 30
Since x was made to represent correct answers, the player had 30 correct answers.
Which One Doesn't Belong?
1 ticket for $1.80
$9 buys 5 tickets
9 tickets for $15
10 prizes for $18
Answer:
9 tickets for $15
Step-by-step explanation:
9×1.80=16.20
A falcon flew 70 miles in 3 hours. What was the speed of the falcon? speed = distance over time ; 1 mile = 1609 meters the answer is not 23.3
Answer:10.4
Step-by-step explanation:
There are a lot of information's that are already given in the question. Based on these information's the answer can be deduced.
1 mile = 1609 meters
Then
70 miles = 1609 * 70 meters
= 112630 meters
again
1 hour = 3600 seconds
3 hours = 3600 * 3 seconds
= 10800 seconds
So
Speed = 112630/10800 meters/second
= 10.4 meters per second.
So the falcon was flying at a speed of 10.4 meters per second.
Where can you put parentheses so that the answer is correct? 5 • 4 - 1+6=13
Answer:
You can put 1 + 6 into parentheses to make the answer correct.
Step-by-step explanation:
5 × 4 - (1 + 6) = 13
5 × 4 - (7) = 13
20 - (7) = 13
13 = 13
Answer:
5 • 4 - (1+6)=13
Step-by-step explanation:
5 • 4 - 1+6=13
Add parentheses to make this true
5 • 4 - (1+6)=13
Using PEMDAS
Parentheses first
5 • 4 - 7=13
Then multiply
20-7 =13
Then subtract
13=13
Please help. I will mark brainliest.
Answer:
hope this helps
Step-by-step explanation:
Will mark brainliest!!
Answer:
22x + 1Step-by-step explanation:
It usually works best for factoring to remove any common factors from the coefficients. Here, they are all even numbers, so have a common factor of 2. After taking that out, you have ...
2(4x² -4x -3)
To factor this, you are looking for factors of (4)(-3) that have a sum of -4.
-12 = 1(-12) = 2(-6) = 3(-4)
These pairs have sums of -11, -4, -1. So, we are interested in the factors 2 and -6. We can use those to rewrite the middle term, then factor by pairing.
= 2(4x² +2x -6x -3) = 2((2x(2x+1) -3(2x+1)) = 2(2x -3)(2x +1)
Of these, the factors that are on your list of choices are ...
22x + 1If UV = 4x, VW = 3x, and UW = 7, what is UV?
Answer:
4x+3x= 7
7x= 7
x = 1
UV=4 is the solution
The value of UV = 4.
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S.
Parts of an EquationThere are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables.
Given:
UV = 4x, VW = 3x, and UW = 7
UW= UV + VW
7 = 4x + 3x
7 = 7x
x= 7/7
x=1
Hence, UV = 4
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The telephone company offers two billing plans for local calls. Plan 1 charges $ per month for unlimited calls and Plan 2 charges $ per month plus $ per call.
Answer and Step-by-step explanation:
Let us assume the number of calls be x
So
For Plan 1
Total monthly charges is $24 for unlimited calls
For Plan 2
There is a charge of $16 and $0.04 per call
We can write as
= 0.04x + $16
a) Now the inequality equation is
0.04x + $16 > $24
0.04x > $8
x > 200
b) Now if there are more than 200 calls than Plan 1 is more economical as compared with plan 2
If RT = 36, find the value of x.
RS: 6x+1. ST:x+7
Answer:
x = 4
Step-by-step explanation:
RT = RS + ST
RT = 36
RS + ST = 36
6x + 1 + x + 7 = 36
6x + x + 1 + 7 = 36 {Combine like terms}
7x + 8 = 36 {Subtract 8 from both sides}
7x + 8 - 8 = 36 - 8
7x = 28 {Divide both sides by 7}
7x/7 = 28/7
x = 4
the correct hand signal to indicate a right turn i
s.
A) Hand and arm extended downward
B) Hand and arm extended backward
c) Hand and arm extended outward
D) Hand and arm extended upward
answer: D) hand and arm extended upward
Answer:
D) hand and arm extended upward ...
is your answer
d) hand and arm extended upward...
Answer:
The answer is
Step-by-step explanation:
D option.
Hope this helps....
Have a nice day!!!
Whats the answer for 2x-3=-x+3? I also need to see the steps because Im lost and I dont understand how to get the answer.
Answer:
Solving for 2x - 3 = -x + 3
Standard form:
3x − 6 = 0
Factorization:
3(x − 2) = 0
Solutions:
x = 6
3
= 2
Step-by-step explanation: Think my Answer is Wrong or Right? Let me know!
Answer:
x = 6
Step-by-step explanation:
We know:
2x - 3 = x +3
Rearrange the equation:
2x - x = 3 + 3
Combine like terms:
1x = 6
Divide:
x = 6
find a if given c and θ
Answer:
a = c * SinФ
Step-by-step explanation:
SinФ = opp / hyp
c = hyp
a = opp
SinФ = a / c
therefore
a = c * SinФ
there are 4 cups in a quart and 4 quart in a gallon. how many cups are in a 5- gallon jug of water?
Answer:
16 cups
Step-by-step explanation:
Answer:
16 is the answer