Find the smallest non-zero whole number n such that 756n is a perfect cube.
Step-by-step explanation:
756 = 2² * 3³ * 7.
For 756n to be a perfect cube, all of its prime factors must have a power that is a multiple of 3.
How to get from 2² to 2³: Multiply by 2.
3³ has already a power that is a multiple of 3.
How to get from 7 to 7³: Multiply by 7².
Hence n = 2 * 7² = 98.
Solve for x.
3(3x+3)-5x-4= 25
Answer:
3(3x + 3) - 5x - 4 = 25
9x + 9 - 5x - 4 = 25
9x - 5x - 4 = 16
4x - 4 = 16
4x = 20
x = 5
Please help with my exit ticket
9514 1404 393
Answer:
A. 2,144.66 in³
Step-by-step explanation:
The formula for the volume of a sphere is ...
V = (4/3)πr³
The radius is half the diameter, so this can be written in terms of diameter as ...
V = (4/3)π(d/2)² = (π/6)d³
For a diameter of 16 inches, the volume is ...
V = (π/6)(16 in)³ ≈ 2,144.66 in³
PLS HELP I WILL GIVE BRAINLEST
1. Patrick is saving money to buy a video game that costs $68.
Part A. Patrick receives $6 every week for doing chores at home. Patrick spends $2.00 every week and saves the rest.
How many full weeks will it take Patrick to save enough money to purchase the video game? Show your work and justify your answer.
Part B. Patrick can earn extra money by cutting grass. His neighbors will pay him $4.00 for each lawn that takes him 30 minutes. What is the amount of time, in extra HOURS, that Patrick would have to spend cutting grass to be able to buy a second $68 video game for his friend? Show your work to justify your answer.
Answer:
Part A - 17 full weeks
Part B - 8 hours and 30 minutes
Step-by-step explanation:
Key skills needed: Rate of change, Equation Creating & Solving
PART A
1) We need to make an equation for the amount of money Patrick saves each week. He earns $6.00 and then spends $2.00
Since he saves the rest, the amount of money he saves each week is
---> $6.00 - $2.00 = $6 - $2 = $4
2) Since Patrick saves $4 a week, let's say that the number of weeks is "[tex]w[/tex]"
Since the game costs $68 we can make the equation
--> [tex]4w = 68[/tex]
4 is the money he saves each week.
w is the number of weeks he saves
68 is the cost of the game
3) Divide by 4 on both sides and you will get --> [tex]w = 17[/tex]
(68 divided by 4 is equal to 17)
Therefore 17 full weeks is your answer.
Part B
1) Patrick earns 4 dollars for each lawn mowed. Each lawn takes 30 minutes to mow.
30 minutes is half an hour ---> This means that for each hour he would be making $8 (since $4 x 2 = $8)
2) So if we say the number of hours is "[tex]h[/tex]", the equation we can make is
---> [tex]8h = 68[/tex]
8 is the money he makes per hour
h is the number of hours he mows the lawns
68 is the cost of the game he wants to buy for his friend
3) Divide both sides by 8 and you will get
--> [tex]h = 8.5[/tex]
(68 divided by 8 is 8.5 (8 and a half))
This means that he needs to mow lawns for 8.5 hours in order to buy the video game for his friend.
8.5 hours is the same as 8 hours and 30 minutes, which is the answer.
Hope you understand and have a nice day!! :D
Do this worksheets if someone do I will make him or her brainly if correct.
Answer:
in the picture above
Step-by-step explanation:
I hope that it's a clear solution and explanation.
The price of a stock decreased $2 each day for seven consecutive days what was the total change in value of the stock over the seven days
Answer:
The stock lost $14 in 7 days
Step-by-step explanation: I know how to multiply.
The total change in the value of the stock over the seven days is $14 if the price of a stock decreased $2 each day for seven consecutive days.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that are +, -, ×, and ÷.
It is given that:
The price of a stock by decreased $2 each day for seven consecutive days
The price of a stock decreased by $2 per day for seven consecutive days.
Each day the cost is decreased by $2
Therefore, in 7 days the total reduction in cost is: 7×2= $ 14
So, the total change in the value of the stock is: -$ 14.
The total change in the value of the stock over the seven-day period is:
It decreased by $ 14
Thus, the total change in the value of the stock over the seven days is $14 if the price of a stock decreased $2 each day for seven consecutive days.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
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Which two numbers are exactly 10 units away from 5?
1. Another line k is perpendicular to line j and passes through
The equation for line j can be written as y =1/2x-1
the point (6, -6). Choose the equation for line k.
Answer:
The equation for line k is [tex]y = -2x + 6[/tex]
Step-by-step explanation:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope.
When two lines are perpendicular, the multiplication of their slopes is -1.
The equation for line j can be written as y =1/2x-1
Since k is perpendicular to j, and the slope of j is 1/2, the slope of k is:
[tex]\frac{1}{2}m = -1[/tex]
[tex]m = -2[/tex]
So
[tex]y = -2x + b[/tex]
It passes through the point (6,-6).
This means that when [tex]x = 6, y = -6[/tex]. So
[tex]y = -2x + b[/tex]
[tex]-6 = -2(6) + b[/tex]
[tex]b = 6[/tex]
So
[tex]y = -2x + 6[/tex]
The store offers a 35% discount. If the regular price of an item is x dollars, what is the discount price in dollars?
Answer: .35x
Step-by-step explanation:
take the 35% and turn it into a decimal (.35)
Since the item is "X" dollars, multiply the x(.35)
This gives you .35x
Answer:
If there is a 35% discount, first convert the percent to a decimal
35% = 0.35
Then multiply the discount rate by the price of the item
x = item price
0.20x = discounted price
need help asap please
Answer:
[tex]\displaystyle 31[/tex]
Step-by-step explanation:
Angles Y and X form a linear pair, therefore you use the Linear Pair Theorem to solve for x:
[tex]\displaystyle 180° = [2s - 4]° + [s + 91]° → 180° = [87 + 3s]° → 93 = 3s; 31 = s[/tex]
I am joyous to assist you at any time.
Help plz:)))I’ll mark u Brainliest
Answer:
ST = 8 m
Step-by-step explanation:
Since both triangles are congruent to each other, therefore their corresponding angles and corresponding side lengths would be equal to each other accordingly.
Side ST in ∆STU corresponds to side PQ in ∆PQR. ST = PQ.
Side PQ = 8 m
Therefore, side ST = PQ = 8 m
Kara earns 12 cent for each paper she delivers. If she delivers papers to 42 customers each day, how much does she earn in 1 week ?
12x42=504
504 cents earned every day when 42 papers are delivered
For a week= 504x7
3528cents
Answer:
3,528 cents = 35 dollars and 28 cents
Step-by-step explanation:
She earns 12 cents for each paper delivered.
=> She earns: 12 x 42 = 504 cents a day
=> She earns: 12 x 42 x 7 = 3528 cents in 1 week.
That is probably the answer you're expecting.
But you shouldn't.
One customer might need more than 1 paper a day, so there's no clear answer to your question.
BC -
Round your answer to the nearest hundredth.
B
?
35
A
с
2.
Answer:
BC ≈ 1.40
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Identify
Angle θ = 35°
Opposite Leg BC = x
Adjacent Leg AC = 2
Step 2: Solve for x
Substitute [Tangent]: tan35° = x/2Isolate x: 2tan35° = xRewrite: x = 2tan35°Evaluate: x = 1.40042Round: x ≈ 1.40Tangent (Angle) = Opposite side / adjacent side
Tangent(35) = BC/2
Multiply both sides by 2:
BC = 2 x Tangent(35)
BC = 1.40042
Rounded to nearest hundredth: BC = 1.40
Nikki dove into a pool and swam underwater. The table shows how her depth changed during a 4-second time period.
Which equation shows the relationship in the table between the time, t, and the depth, d?
Answer:d
Step-by-step explanation:
What is the equation that represents this pattern
Thanks
Answer:
something like f(t)=t+3
Step-by-step explanation:
Please help. The few questions I need help with are in the image below. Thanks.
Answer:
3) 21/60= 0.35
4) 5/4= 1.25
5) 9/15= 0.6 or 2/3
6) 378/15= 25.2 or 25 and 1/5
7) 1 1/2/ 2/3= 2.5
8) 28 1/3 / 3 1/3= 8.5
Step-by-step explanation:
hope this helps!
mark me brainliest please!
The graph shows the distance Maria traveled from home in miles (y) as a function of time in seconds (x). Image is down below:
Which segment shows Maria waiting for a cab? (5 points)
P
Q
R
S
Answer:
The answer is point Q
Step-by-step explanation:
thats the problem the words say. Write an expression in simplest form that represents the perimeter of the polygon
Answer:
(29x + 9)
Step-by-step explanation:
Perimeter of a polygon = Sum of measures of all sides of the polygon
Therefore, Perimeter of the given polygon = (9 + 12x + 2x + 2x + 12x + x)
= (9 + 29x)
Expression (29x + 9) will represent the perimeter of the polygon.
What is an angle that is complementary to DGE?
(Please hell I’ll reward)
Answer:
<CGD
Step-by-step explanation:
Since m<CGB = right angle = 90°, therefore:
m<CGE = 90° (linear pair angles)
Complementary angles add up to 90°.
Thus, m<CGD + m<DGE = m<CGE = 90°.
Therefore, the angle that is complementary to <DGE is <CGD
PLEASE HELP IM GETTING TIMED 8. The graph shows the relationship between the depth of a diver and the time that has passed .
Which function best represents the relationship shown in the graph ?
A. y = 10x - 15
B. y = 2x - 15
С. y = - 10x - 15
D.y=-15x-10
Answer:
C
Step-by-step explanation:
Glad I could help!
Answer:
c
Step-by-step explanation:
rise/run
-20/2=-10 for the slope
Please help me ASAP I’ll Mark Brainly
Answer:72
Step-by-step explanation:
Answer:
3(4 + 3 + 17)
Step-by-step explanation:
The greatest common factor of the three numbers is 3. The equation would then become 3(4 + 3 + 17)
Specify the set of B by giving a written description of It’s element where B={ 0,1,4,9,16,25}
Answer:
Please check the explanation.
Step-by-step explanation:
Given the set B
B={ 0,1,4,9,16,25}Analysis of the elements in the set B
[tex]m = 0 = 0^{2}[/tex][tex]m\:=\:1\:=\:1^2[/tex][tex]m\:=\:4\:=\:2^2[/tex][tex]m\:=\:9\:=\:3^2[/tex][tex]m\:=\:16\:=\:4^2[/tex][tex]m\:=\:25\:=\:5^2[/tex]We can check that each element in set B is a square of a whole number.
Therefore, we conclude that:
B = { square numbers less than 30 }.
or
B = {m/m is square of a whole number; [tex]0 \leq m \leq 5[/tex] }
Which graph is the graph of y-2=4(x+5)
Answer:
The answer is C
Answer:
A
Step-by-step explanation:
y=4(x+5)+2
y=4x+20+2
y=4x+22
The Y-intercept is going to be 22, so we can already eliminate D and C. and so the difference between A and B is that B is a negative line and A is not. And since the slope is not negative in the equation, B cannot be the answer, so A is the answer.
You are given the following information about y and x.
Y X
Dependent Independent
Variable Variable
5 15
7 12
9 10
11 7
Question: The least Squares of b1 equals?
a.) -0.7647
b.) -0.13
c.) 21.4
d.) 16.412
Question: The least squares estimate of bO equals?
a.) -7.647
b.)-1.3
c.) 21.4
d.) 16.41176
Question: The sample correlation coefficient equals
a.)-86.667
b.)-0.99705
c.0.9941
D.0.99705
Question: The coefficient of determination equals
a.) -0.99705
b.)-0.9941
c.)0.9941
d.)0.99705
Answer:
A ; D ; B ; D
Step-by-step explanation:
Given the data:
Dependent Independent
Variable Variable
Y ___ X
5 __ 15
7 __ 12
9 __ 10
11 __ 7
The general regression equation is of the form /
Y = B0 + BiX
Y = dependent variable ; B0 = intercept ` B1 = slope ; X = independent variable
Using calculator, the model obtained for the model is :
Y = 16.41176 - 0.7647x
Hence,
Least square estimate for b1 = - 0.7647
Least square estimate for b0 = 16.41176
Correlation Coefficient (R) = - 0.99705
The Coefficient of determination (R²) = - 0.99705^2 = 0.994108
.
The Census Bureau says that the 10 most common surnames in the United States are, in order, Smith, Johnson, Williams, Brown, Jones, Miller, Davis, Garcia, Rodriguez, and Wilson. These names account for 9.6% of all U.S. residents. Suppose you look at the authors of the textbooks for your current courses and find that there are 8 authors in total. What is the probability that none of the 8 surnames of these authors were among the 10 most common
Answer:
0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common
Step-by-step explanation:
For each surname, there are only two possible outcomes. Either they are among the 10 most common, or they are not. Each author is independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
These names account for 9.6% of all U.S. residents.
This means that [tex]p = 0.096[/tex]
8 authors in total.
This means that [tex]n = 8[/tex]
What is the probability that none of the 8 surnames of these authors were among the 10 most common
This is [tex]P(X = 0)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8,0}.(0.096)^{0}.(0.904)^{8} = 0.4460[/tex]
0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common
Guy is self employed. In one year, Guy generates a gross income of $44,500. When calculating his taxes, Guy is allowed to deduct $2,500 in expenses from his gross income (the result is his 'operating income'). Guy must then pay 10% tax on all operating income up to $20,000 and then 20% on any operating income over $20,000. Calculate the amount of tax that Guy must pay. Give your answer in dollars to the nearest dollar. Do not include commas or the dollar symbol in your answer.
Answer:
20000÷20= the amount you need for the income price is 16000
Answer:
Step-by-step explanation:
Operating Income=$44,500−$2,500=$42,000.
So Guy will be taxed 10% on $20,000 and 20% on $(42,000−20,000)=$22,000, hence
Total Tax=10%×$20,000+20%×$(42,000−20,000)=$6,400.
Calculating Percents 2
You may use a calculator for all calculations
Part 1 - Write each percent as a decimal equivalent
120%
2 15%
3 45%
4 50%
51%
63%
75%
8 6%
Answer: 120% is 1.2 in decimal form.
215% 2.15
345% 345
450% 4.50
51% 0.51
63% 0.63
75% 0.75
86$ 0.86
Step-by-step explanation:
I need help with this
Answer:
1/4
Step-by-step explanation:
As 4 units move to the right, 1 unit goes up. Using the formula for slope:
Rise / Run
The gradient of the blue line is 1/4 or 0.25
Anna can buy 5 sweatshirts for a total of $75. How much would it could it cost if she were to buy 2 sweatshirts at the same price
Answer:
$75
Step-by-step explanation:
(45 / 3) x 5 = 75
To find the amount of money for each t-shirt, divide 45 by 3.
45 / 3 = 15
To find out the price of 5 t-shirts, multiple 15 by 5.
15 x 5 = $75
$75 is your answer :)
What is the value of x in the equation 8x – 2y = 48, when y = 4?
6
ОО
7
O 14
48