Answer:
B - Taking the cube root of y
Step-by-step explanation:
Data provided in the question
y = ax^3
Based on the above information
Now we take the cube root of y
So, it would be calculated below:
y1/3 = a1/3 × x
So
As it can seen by the above equation there is a linear relationship between the cube root of y and x
Therefore, the correct option is B.
Hence, all the other options are wrong
Linearity is the concept used to describe linear relationships between variables.
The appropriate method for creating linearity between the variables is: (e) Taking the log of both y and x
The function is given as:
[tex]\mathbf{y = ax^3}[/tex]
The function is a power function (i.e. cube of x)
To create linearity between power function, we simply take the logarithms of both variables
So, we have:
[tex]\mathbf{\log(y) = a\log(x^3)}[/tex]
Apply law of logarithm
[tex]\mathbf{\log(y) = 3a\log(x)}[/tex]
Hence, the appropriate method for creating linearity between the variables is: (e) Taking the log of both y and x
Read more about linearity between variables at:
https://brainly.com/question/11496246
Phil walks around a field 4 times.
The field is 2.1 miles.
About how many miles does Phil walk in all?
Answer:
8.4
Step-by-step explanation:
You multiply 2.1 and 4
You spend $40 on $5 pounds of concrete.what is the unit rate in dollars per pound
Answer:
$8/pound
Step-by-step explanation:
$40 ÷ 5 lbs = 8$ per pound
Davis hit a baseball from a height of 3 feet above the ground at an angle of 24 degrees with the horizontal at an initial velocity of 110 feet per second. How far will the ball travel before it hits the ground?
8. Write a parametric equation for the flight of the ball.
9. Find the maximum height of the ball.
10. How many feet did the ball travel horizontally before it hit the ground?
Answer:
The ball travel horizontally before it hit the ground is 34.22 feet.
Step-by-step explanation:
Given that,
Height = 3 feet
Angle = 24 °
Initial velocity = 110 feet/s
We need to write a parametric equation for the flight of the ball
Using given data
[tex]r(t)=u\cos\theta\times t\hat{i}+(h+(u\sin\theta)t-\dfrac{1}{2}gt^2)\hat{j}[/tex]
Put the value into the formula
[tex]r(t)=110\cos24\times t\ i+(3+110\sin24\times t-\dfrac{1}{2}32t^2)j[/tex]
[tex]r(t)=100.4t(i)+(3+44.7t-16t^2)j[/tex]
Now, on differentiating w.r.to t
[tex]v(t)=100.4i+(44.7-32t)j[/tex]....(I)
We need to calculate the time
Using equation (I)
If y'(t)=0, then the ball will be at maximum height
So, [tex]y'(t)=44.7-32t[/tex]
Put the value of y'(t)
[tex]44.7-32t=0[/tex]
[tex]t=\dfrac{44.7}{32}[/tex]
[tex]t=1.4\ sec[/tex]
We need to calculate the maximum height
Using equation of motion
[tex]y(t)=h+ut-\dfrac{1}{2}gt^2[/tex]
Put the value into the formula
[tex]y(1.4)=3+44.7\times1.4-16\times(1.4)^2[/tex]
[tex]y(1.4)=34.22\ feet[/tex]
Hence, The ball travel horizontally before it hit the ground is 34.22 feet.
by rounding to one significant figure 615 x 38
Answer:
20000
Step-by-step explanation:
4a + 3a
Will give brainliest!!!
Answer:
7a
Step-by-step explanation:
4a + 3a
(4 + 3)a
(7) a
Answer = 7a
Answer:
4a+3a is equivalent to 7a
Step-by-step explanation:
when simplifying you combine like terms. Since 3a and 4a are like terms and their are no exponents, all you have to do is add the coefficients together.
Can you help me please
Parallel lines have the same slope.
m = (y2-y1)/(x2-x1)
m = (-3-3)/(4-0)
m = -6/4 = -3/2
Substitute the values in y = mx + c,
-5 = (-3/2)(6) + c
-5 = -9 + c
c = 4
y = (-3/2)x + 4
Thus, Option D is the correct answer
Function A(e) represents the surface area of a cube in terms of its edge length, e, and the difference quotient is 12e + 6h. What is the average rate of change in surface area of a cube as the edge length increases from 3 inches to 5 inches?
48 square inches per inch
54 square inches per inch
66 square inches per inch
96 square inches per inch
Answer: 48 square inches per inch
Step-by-step explanation:
The surface area of a cube of sidelength e is:
A(e) = 6*e^2.
The rate of change is:
A'(e) = 2*6*e
The average rate of change between 3 in and 5 in is:
r = (A(5in) + A(3in))/2 = (2*6*5in + 2*6*3in)/2 = 48in
Now, the options are given in:
"squere inches per inch"
This is written as:
in^2/in = in.
Then we can write our above rate as:
r = 48in = 48in^2/in = 48 square inches per inch.
Answer:
Just did the test, 48 square inches is correct on edge
Step-by-step explanation:
Give credit to the other person.
Sharon has two liabilities: a credit card balance of $1300 and a car loan balance of $4800. Sharon car has a market value of $9000 she also has a balance of $1450 in her saving account and has stocks that are currently worth $1050. What is Sharon’s net worth?
Given:
Sharon has two liabilities: a credit card balance of $1300 and a car loan balance of $4800.
Car = $9000
Balance in her saving account = $1450
Stocks = $1050.
To find:
Sharon’s net worth.
Solution:
Total liabilities = Credit card balance + Car loan balance
= $1300 + $4800
= $6100
Total Assets = Car + Balance in her saving account + Stocks
= $9000 + $1450 + $1050
= $11500
Now,
Net worth = Total assets - Total liabilities
= $11500 - $6100
= $5400
Therefore, Sharon’s net worth is $5400.
Sharon's net worth, based on her assets and liabilities, is $5,400.
What is the net worth?Net worth refers to the difference between an individual's assets and liabilities.
Assets are the properties owned by the individual. Liabilities are the sources of funding for the assets. They are financial obligations owed to outsiders (creditors).
In business, the net worth of an entity is known as equity.
Data and Calculations:Liabilities:Credit card balance of $1300
Car loan balance of $4800
Total liabilities = $6,100
Assets:Sharon's car with a market value of $9000
Savings account balance of $1450
Stocks that are currently worth $1050
Total assets = $11,500
Net worth = $5,400 ($11,500 - $6,100)
Thus, Sharon's net worth is $5,400.
Learn more about net worth at https://brainly.com/question/27218751
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The total distance an ant crawls varies directly with the time in seconds. The ant crawls a total distance of 160 centimeters in 20 seconds.
What is the time in seconds the ant crawls when the total distance is 216 centimeters?
8 s
11 s
25 s
27 s
Answer:
27
Step-by-step explanation:
I did the math ;-;
When the Smith family
left for their vacation, their odometer read
38,573.2 miles. When they arrived, it read
39,204.9 miles. How far did they travel on their
vacation? I HAVE NO IDEA WHAT TO DO AND WHAT THE ANSWER IS!?!? CAN SOMEONE HELP I NEED THE ANSWER QUICK!!
Hello!
Answer:
631.7 miles
Step-by-step explanation:
All you need to do is to subtract 38,573.2 miles from 39,204.9 miles.
So something like this>>>
38,573.2
_ 39,204.9
__________
631.7
You're Welcome! Hope it helps!
JUST #4 PLS Eazy, Adding fraction
Answer:
-1 5/6
Step-by-step explanation:
-1 2/3 turn it into mixed fraction
-10/6
then -10/6 + -1/6 = -11/6 and simplify and get -1 5/6
Hope this helps dude ! ^-^
"You have performed increasingly well this past year and you are earning a 6% pay increase to your current $62,900 annual salary."
Supervisor: "Thanks, I look forward to the additional __________ per month."
Answer:
$3,774
Step-by-step explanation:
Raj takes a taxi to the airport. He expects the taxi to travel at an average speed of 40 mph.
The distance from Raj's house to the airport is 20 miles.
If Raj's taxi actually travels at an average speed of 30 mph, how many more minutes does the journey take than expected
Answer:
40
Step-by-step explanation:
Obtain two numbers such their HCF is 20 and their LCM is 300....... By steps...
Answer:
60 and 100
Step-by-step explanation:
Look for 2 multiples of 20 which are also factors of 300.
No need to go all Mathematician.
It's simple, no long explanation needed
I need help with this problem ASAP!
Answer:
aye down load the app Socratic
Step-by-step explanation:
just take a picture and it will show you the answers
Write the addition equation as a multiplication equation. 8 x 8 x 8 = 24
Answer:
8+8+8=24
Step-by-step explanation:
The answer is 8+8+8 because 8×3=24 and you would have to write 8 , 3 times. If you get what I mean.
pls help with this im being timed once again
Write the decimal 0.075 as a fraction in simplest form.
Answer:
3/40
Step-by-step explanation:
Answer:
3/40
Step-by-step explanation:
At a birthday party, 5 boys and 3 girls are seated in a row. How many different arrangements are possible if there are no restrictions?
Answer:
40320Step-by-step explanation:
There are 5 boys and 3 girls
With no restrictions, 8 people can seat in 8! ways
8! = 40320 arrangementsAnswer:
40320
There are 5 boys and 3 girls
With no restrictions, 8 people can seat in 8! ways
8! = 40320 arrangements
Triangle K J I is reflected to form triangle J prime K prime I prime.
Which type of transformation is shown in the figure on the left?
translation
reflection
rotation
dilation
Use the compound interest formula to compute the total amount accumulated .
$1060 for 5 years at 7% compounded annually
Answer:
1486.7
Step-by-step explanation:
1060*(1+0.07)^5 = 1486.705
Which means "p decreased by 75"?
The product of two numbers is 2400 iftheir LCM is 120 find their LCM.... BY STEPS!!.....
Answer:
60 and 40 or 120 and 20
Step-by-step explanation:
60 x 2=120
40 x 3=120
60 x 40=2400
120 x 1=120
20 x 6=120
120 x 20=2400
You can try a few others, but no others have an lcm of 120
Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace the card, and draw another card. You repeat this process until you have drawn 18 cards in all. What is the probability of drawing at least 6 diamonds
Answer:
Step-by-step explanation:
Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you place the card back in the deck, shuffle the deck, and draw another card. You repeat this process until you have drawn 20 cards in all. What is the probability of drawing at least 8 hearts?
For the experiment above, let X denote the number of hearts that are drawn. For this random variable, find its expected value and standard deviation.
E(X)=
?=
Paula needs to make b batches of blueberry scones this weekend for her family's brunch party. She needs 2 cartons of blueberries for each batch, and each carton costs $4. Pick all the expressions that represent how much Paula will spend on blueberries.
Answer: $8
Step-by-step explanation: each cartoon is 4 dollars
and she need 2
2•4=8
Answer:
4(2b) and 8b
Step-by-step explanation:
4(2b) = 4x2b= 8b
From my sis: Which list of fractions is in order from smallest to largest?
A: 1/6, 1/3, 1/2
B: 1/2, 1/3, 1/6
C: 1/6, 1/2, 1/3
D: 1/2, 1/6, 1/3
I'll give branliest bc why not:)
Answer:
B
Step-by-step explanation:
Often we need to use exponents to correctly model the variation in situations:
The volume of a cylinder varies jointly with the square of its radius and its height. Its
general equation looks like V = kr’h where k= some constant number for all cylinders
and V, rand h are variables representing volume, radius and height, respectively. When
the radius is 3 cm and height is 5 cm, the cylinder has a volume of 141.3 cm. Find the
volume when the radius is 6 cm and the height is 10 cm.
Answer:
V = 1130.4 cm³
Step-by-step explanation:
Given that V varies jointly with r² and h then the equation relating them is
V = kr²h ← k is the constant of variation
To find k use the condition when r = 3 and h = 5 then V = 141.3 , then
141.3 = k × 3² × 5 = 45k ( divide both sides by 45 )
k = 3.14 ← note approximation for π
V = 3.14r²h ← equation of variation
When r = 6 and h = 10, then
V = 3.14 × 6² × 10 = 3.14 × 36 × 10 = 1130.4 cm³
How many 5 digit numbers can be created using 0-9
Answer:
100000
Step-by-step explanation:
10^5
E = {m, a, t, h}
The possible subsets of set S are;
Four
Three
Elements Elements
{m, a, t, h} {m, a, t}
{m, a, h}
{m, t, h
{a, t, h
Zero
Element
{ } or Ø
Two
Elements
{m, a}
{m, t}
{m, h}
{at}
{a, h)
{t, h
One
Element
{m}
{a}
{t}
{h}
Answer:
Step-by-step explanation:
dcfrbfirpfbrpifurghfpirfuh
What is the slope of a line parallel to the line 9x+3y = 2?
Answer:
-9 :)
Step-by-step explanation: