Answers
Hello,
\(( \frac{1}{3} ) {}^{3} = \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} = \frac{1 {}^{3} }{3 {}^{3} } = \frac{1}{27} \)
Hi! ⋇
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
\(\sf\color{darkblue}{( \frac{1}{3}) ^{3} = \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} = \frac{1} {27} }\)
Related Questions
PLEASE HELP ME!! The 7th grade has already saved $60 for a field trip to Hershey Park. They need to raise at least$720 in order to pay for the trip. They decide to sell T-shirts to raise money. They earn $12toward the trip for every T-shirt they sell.Write the inequality that represents this situationHow many T-shirts must they sell to eam at least $720? Show how you determined your answer
Answers
We have to calculate how many T-shirts the hay to sell in order to raise $720, including the $60 dollars they already saved.
They earn $12 for every T-shirt, so the amount of money raised is 12x, being x the number of T-shirts.
Then, 12x has to be at least equal to 720-60=660:
\(12x\ge660\)Then, if we divide both sides by 12, we get the number of T-shirts they have to sell:
\(\begin{gathered} 12x\ge660 \\ \frac{12}{12}x\ge\frac{660}{12} \\ x\ge55 \end{gathered}\)They have to sell at least 55 T-shirts.
The odds of winning a game at a carnival are 3 in 7. If Angie plays the game nine times, what is the probability that she wins exactly two times
Answers
Answer:
13%
Step-by-step explanation:
C(n, x) • \(p^{x}\) • \(q^{n-x}\)
x = number of successes = 2
p = probability of success = 3/7
q = probability of failure = 1 = 3/7
n = number of games
(3/7)^2 x (4/7)^(9-2) = 13%
Find the value of x.
Answers
Answer:
x=71
Step-by-step explanation:
Graph a line that constans the point (-7,-4) and has a slope of -2/3
Answers
Answer:
2-3 -7-4 is the answer I hope it helps
Find the slope of the line that passes through (10, 6) and (3, 11).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
-5/7
Step-by-step explanation:
know what to put here don't know how to explain!
As X increase or decrease Y increase or decrease. The Function is linear or nonlinear.
Answers
Answer:
linear
Step-by-step explanation:
Marc thinks a hexagon has 5 sides and 5 angles. Is Marc correct? Explain.
Answers
No,Marc is wrong since a hexagon has 6 sides and 6 angles .
Define a hexagon.
A hexagon can be defined as a polygon with six sides. The two-dimensional shape has 6 sides, and 6 angles.
Since we know that initially a point is formed first ,
then a line is formed by joining two points
further but joining three points , somewhat relates to tri such that a triangle is formed
then a rectangle / square / rhombus or any polygon of four sided is form ,then for five side a pentagon is formed
On increasing the number of lines ,a hexagonal polygon is formed .
Similarly ; heptagon ,octagon and then nonagan etc are formed .
Hence , a hexagon is formed which has 6 sides and 6 angles .
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At what point should an open circle be drawn?
Answers
The point that should an open circle be drawn exists (0, 0).
What is meant by function ?A formula, rule, or regulation that establishes the link between the independent variable and the dependent variable (the dependent variable). As a set of inputs with one output for each, a function is defined as a relationship between them. A function, expressed simply, is an association between inputs where each input is connected to one and only one output. Generally speaking, there are four different types of functions. based on element One to One Function, Many to One Function, Into Function, One to One and Into Function.The first equation in the system is f(x) = -x, for x < 0.
This means when x=0, f(x) = f(0) = 0.
Since we have the inequality x<0, this means at the point (0, 0),
the point will be open and not filled in.
Therefore, the correct answer is option b) (0, 0).
The complete question is:
The function f(x) is to be graphed on a coordinate plane
At what point should an open circle be drawn?
a) (–1, 0)
b) (0, 0)
c) (0, 1)
d) (1, 0)
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Alice is searching online for tickets to a knicks game. Two weeks ago, the cost was $30. Now the cost is $39. What is the percent increase
Answers
Given:
Two weeks ago, the cost of tickets = $30
Now, the cost of tickets = $39
To find:
The percent increase.
Solution:
We have,
Initial value = $30
New value = $39
Formula for percentage increase is:
\(\%\text{increase}=\dfrac{\text{New value - Initial value}}{\text{Initial value}}\times 100\)
Using this formula, we get
\(\%\text{increase}=\dfrac{39-30}{30}\times 100\)
\(\%\text{increase}=\dfrac{9}{3}\times 10\)
\(\%\text{increase}=3\times 10\)
\(\%\text{increase}=30\)
Therefore, the percent increase in the cost of tickets is 30%.
edimentation tanks are often used as the first step in wastewater treatments. To make sure the entire water treatment process runs smoothly, we need to make sure that each step runs efficiently. In this wastewater plant, the sedimentation tank has a volume capacity of 17,000 m3. If a detention time of 3.4 hours is required, what should you have the flow rate set to in ML/day?
Answers
The correct answer is - the flow rate should be set to 14,444 ML/day to ensure a detention time of 3.4 hours is maintained.
Solution- 14,444 ML/day
Firstly, convert the tank capacity to litres since the flow rate will be in ML/day.17,000 m³ = 17,000,000 litres
The formula for calculating the flow rate is: Flow rate = Tank volume / Detention time
Flow rate = 17,000,000 litres / (3.4 hours x 24 hours)
Flow rate = 17,000,000 litres / 81.6 hours
Flow rate = 208,333.33 litres/hour
Now that we have calculated the flow rate in litres per hour, we can convert it to mega litres per day (ML/day) by multiplying by 24 and dividing by 1,000,000.
Flow rate = 208,333.33 litres/hour x 24 / 1,000,000 = 5 ML/day
Therefore, the flow rate should be set to 14,444 ML/day to ensure a detention time of 3.4 hours is maintained.
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Solve for m: 7m+2=79
Answers
SOLUTION
The given equation is:
\(7m+2=79\)Collect like terms
\(\begin{gathered} 7m=79-2 \\ 7m=77 \end{gathered}\)Divide both sides by 7
\(\begin{gathered} m=\frac{77}{7} \\ m=11 \end{gathered}\)Therefore the required answer is m=11
HELPP ASAP PLEASE DONT SKIP ME
What is the perimeter of the figure below.
y
6
ch
N(-1.4)
L(2.4)
3 2
M(-2.1)
O 8 + 10
O 13
O 6+10
O Did you know that 0/0 = 2?
Answers
Answer:
8 + √10
Step-by-step explanation:
NL = |2+1| = 3
NM = √(-1+2)^2 + (4-1)^2 = √1+9 = √10
ML = √(-2-2)^2 + (1-4)^2 = √16 +9 = √25 = 5
2p = 8 + √10
Answer:
Step-by-step explanation:
( \(x_{1}\) , \(y_{1}\) )
( \(x_{2}\) , \(y_{2}\) )
d = \(\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1} )^2}\)
~~~~~~~~~~~~~~~~
LN = 3
MN = √10
LM = 5
P = 8 + √10
Given an exchange rate of 1.21 dollar/pound and an exchange rate
of 1.22 dollar/euro, what is the exchange rate of the euro/pound
expressed to four decimal places. (Please do not put in any
currency s
Answers
The exchange rate of the euro/pound expressed to four decimal places is 1.0100 euro/pound.
To find the exchange rate of the euro/pound, we can use the given exchange rates of dollar/pound and dollar/euro.
Let's denote the exchange rate of euro/pound as E.
Given:
Exchange rate of dollar/pound = 1.21 dollar/pound
Exchange rate of dollar/euro = 1.22 dollar/euro
To find the exchange rate of euro/pound, we can divide the exchange rate of dollar/euro by the exchange rate of dollar/pound:
E = (Exchange rate of dollar/euro) / (Exchange rate of dollar/pound)
E = 1.22 dollar/euro / 1.21 dollar/pound
Simplifying this expression, we get:
E = 1.01 euro/pound
Therefore, the exchange rate of the euro/pound, is 1.0100 euro/pound.
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If you want to find the energy quantum of light, you multiply the frequency of the radiation (v) by "h". What is "h"?
Answers
Answer:
H is E
Step-by-step explanation:
In the formula of the energy of photons "h" signifies Planck's constant.
What is Planck's constant?The Planck constant, often known as Planck's constant, is a crucial physical constant in quantum physics. The mass-energy equivalency establishes the relationship between mass and frequency, and the constant establishes the relationship between a photon's energy and frequency.
In the equation energy E = h X v. The "h" there signifies Planck's constant
Planck's constant is a value, that shows the rate at which the energy of a photon increases/decreases, as the frequency of its electromagnetic wave changes.
Therefore, in the formula of the energy of photons "h" signifies Planck's constant.
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the germination rate is the rate at which plants begin to grow after the seed is planted. a seed company claims that the germination rate for their seeds is 90 percent. concerned that the germination rate is actually less than 90 percent, a botanist obtained a random sample of seeds, of which only 80 percent germinated. what are the
Answers
The correct hypothesis for a one-sample z-test for a population proportion p for germination is p <0.9
A hypothesis is an informed estimate about the solution to a scientific issue that is supported by sound reasoning. It is the expected result of the trial, though it is not evidence in an experiment. Depending on the information collected, it might be supported or might not be allowed at all.
The material provided indicates that the following is the appropriate theories for a one-sample z-test for a population proportion where H0 is p = 0.9 and H1 <0.9. Thus, at the null hypothesis, it is tested if the germination rate is actually of 90%, that is H = 0.9 and at the alternative hypothesis, it is tested if the germination rate is of less than 90%, that is H1 <0.9.
Complete Question:
The germination rate is the rate at which plants begin to grow after the seed is planted. A seed company claims that the germination rate for their seeds is 90 percent. Concerned that the germination rate is actually less than 90 percent, a botanist obtained a random sample of seeds, of which only 80 percent germinated. What are the correct hypotheses for a one-sample z-test for a population proportion p ?.
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Kelvin found that the least common denominator needed to subtract 22−9 2 x x 2 - 9 – 1+3 1 x + 3 is (x + 3)(x – 3). Which is a correct next step?
Answers
The least common denominator for the given fractions is (x+6)(x-2). Therefore, the correct answer is option B.
The given expression is \(\frac{x}{x^2+4x-12}-\frac{3}{x+6}\) and the least common denominator is (x+6)(x-2).
When two or more fractions have the same denominators, they are termed as the common denominators. The least common denominator (LCD) refers to the smallest number that is a common denominator for a given set of fractions.
Here, \(\frac{x}{x^2+6x-2x-12}-\frac{3}{x+6}\)
\(=\frac{x}{x(x+6)-2(x+6)}-\frac{3}{x+6}\)
\(=\frac{x}{(x+6)(x-2)}-\frac{3}{x+6}\)
Here, least common denominator is (x+6)(x-2)
\(=\frac{x}{(x+6)(x-2)}-\frac{3(x-2)}{(x+6)(x-2)}\)
Therefore, the correct answer is option B.
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"Your question is incomplete, probably the complete question/missing part is:"
Kelvin found that the least common denominator needed to subtract \(\frac{x}{x^2+4x-12}-\frac{3}{x+6}\) is is (x+6)(x-2). Which is the correct next step?
A) \(\frac{x-3}{x^2+3x-18}\)
B) \(\frac{x}{(x+6)(x-2)} - \frac{3(x-2)}{(x+6)(x-2)}\)
C) \(\frac{x}{(x+6)(x-2)} - \frac{3(x+2)}{(x+6)(x-2)}\)
D) \(\frac{x(x+6)(x-2)}{(x+6)(x-2)} - \frac{3(x+6)(x-2)}{(x+6)(x-2)}\)
The perimeter of the scalene triangle is 54.6 cm.
*pretend this is the triangle
3a, a b
Which equation can be used to find the value of b if side a measures 8.7 cm?
A. 8.7 + b = 64.6
B. 17.4 + b = 54.6
C. 21.6 + b = 54.6
D, 34.8 + b =54.6
Answers
Answer:
D, 34.8 + b =54.6
\(perimeter = s + s + s \\ 54.6 = 3a + a + b \\ 54.6 = 4a + b \\ (4 \times 8.7) + b = 54.6 \\ 34.8 + b = 54.6\)
10kg of apples cost $51. how many kilograms of apples can you get for $40.80?
Answers
Answer:
8 kg of apples
Step-by-step explanation:
First, we need to find how much 1 kg of apples cost. We can do this by dividing $51 and 10 kg:
51÷10=$5.1
Therefore, 1 kg of apples cost $5.10.
Now, to find how many apples we can get for $40.80, we can divide $40.80 by $5.10:
40.80÷5.10=8
Therefore, we can get 8 kg of apples for $40.80.
I hope this helps!
Answer:
8kg
Step-by-step explanation:
51$ ÷ 10 = price of one kg
51$ ÷ 10 = 5.1$
40.80$ ÷ 5.1$ = 8kg
1. Tom has a circular clock with a circumference of 39.88 inches. What is the radius of Tom's clock, to the nearest hundredth of an inch?
Answers
Answer:
40
Step-by-step explanation:
round the last 8 to nine then do that to the other nine and do that once more
Freddy is selling snow cones at a stand outside his house. He is charging $1.50 per snow cone. He needs to make at least enough money to cover the cost of his supplies, which were $14.75. What is the minimum number of snow cones Freddy needs to sell?
Answers
Answer:
10 snow cones
Step-by-step explanation:
Number of snow cones needed
= $14.75 ÷$1.50
= 9.8333 (5 s.f.)
Rounding 9.8333 up to the nearest whole number would give us 10 snow cones. 9 snow cones would not be enough since he would be short of $1.25.
Thus, he needs to sell a minimum of 10 snow cones.
Answer:
The answer is 10 snow cones.
Step-by-step explanation:
14.75 divided by 1.50 = 9.833333. Of course, he needs to sell full snow cones so the answer is 10. (Hope it Helps) :)
Low Carb Diet Supplement, Inc., has two divisions. Division A has a profit of $230,000 on sales of $2,120,000. Division B is able to make only $34,700 on sales of $381,000.
Compute the profit margins (return on sales) for each division. (Input your answers as a percent rounded to 2 decimal places.)
Division A= ______%
Division B= ______%
___________________________________________________________________________________________________________________________________________________
Polly Esther Dress Shops Inc. can open a new store that will do an annual sales volume of $1,220,400. It will turn over its assets 2.7 times per year. The profit margin on sales will be 7 percent.
What would net income and return on assets (investment) be for the year? (Input your return on assets answer as a percent rounded to 2 decimal places.)
Net Income=
Return on Assets= __________ %
Answers
The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.
To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.
For Division A:
Profit Margin = (Profit / Sales) * 100
Profit Margin = ($230,000 / $2,120,000) * 100
Profit Margin ≈ 10.85%
For Division B:
Profit Margin = (Profit / Sales) * 100
Profit Margin = ($34,700 / $381,000) * 100
Profit Margin ≈ 9.11%
To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.
Net Income = Profit Margin * Sales
Net Income = 7% * $1,220,400
Net Income = $85,428
Return on Assets = Profit Margin * Asset Turnover
Return on Assets = 7% * 2.7
Return on Assets = 18.9%
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The volume of this sphere is 25500cm3. Work out the length of the radius, r . Give your answer rounded to 1 DP.
Answers
Answer:
The radius is 18.3cm
Step-by-step explanation:
Given
\(V = 25500cm^3\)
Required
The radius, r
The volume (V) of a sphere is:
\(V = \frac{4}{3}\pi r^3\)
So, we have:
\(25500 = \frac{4}{3}\pi r^3\)
Solve for r
\(\pi r^3 = 25500 * \frac{3}{4}\)
\(\pi r^3 = 19125\)
Divide by \(\pi\)
\(r^3 = \frac{19125}{\pi }\)
\(r^3 = \frac{19125}{3.14}\)
\(r^3 = 6090.8\)
Take cube roots
\(r = 18.3\) -- approximated
on a math test the students are given a triangle
Answers
Step-by-step explanation:
so, what should we do of that triangle. sorry, i think ur question is incomplete.
g is most data likely to be skewed or symmetric? there is no right or wrong here but discuss and take a side on the issue.
Answers
Most data is likely to be skewed following a particular trait because when considering real life data, it is likely that it may concentrate on one end of the values on the real line as there is high uncertainty that exists with real life.
There is very little confidence that the population would behave in expected ways.
The skewed distribution implies the distribution that is not symmetrical. If a distribution is skewed it can be skewed to the left i.e. mean lies to the left of the center or skewed to the right i.e. mean lies to the right of the center of the distribution.
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pls pls pls helpjust need the answer
Answers
Answer:
k = - 8
Step-by-step explanation:
given that (x - a) is a factor of f(x) , then f(a) = 0
given
(x - 1) is a factor of f(x) then f(1) = 0 , that is
3(1)³ + 5(1) + k = 0
3(1) + 5 + k = 0
3 + 5 + k = 0
8 + k = 0 ( subtract 8 from both sides )
k = - 8
find the area of E?? i really need this done please and thank you
Answers
Answer: 24 square inches
Step-by-step explanation:
To get the whole area Multiply length x width
12 x 7 = 84
Now we get the area of the space in the rectangle
6 x 5 = 30 and multiply that by 2 since there are 2 spaces
in the rectangle.
30 x 2 = 60
84 - 60 = 24
Solve the following the inequality: 12 < 4x - 16 < 16
Answers
Answer:
7 < x < 8
Step-by-step explanation:
\(12<4x-16<16\\\\12+16<4x-16+16<16+16\\\\28<4x<32\\\\\frac{28}{4}<\frac{4x}{4}<\frac{32}{4}\\\\7<x<8\)
How does a NEGATIVE coefficient effect the parent function?
Answers
Which mapping represents a function?
Answers
Tyra, Elle, Tran, and Ann share equally in the rental of a car. If the total cost of the rental is C dollars, which expression represents Tyra's share of the cost?
Answers
Answer:
c/4
Step-by-step explanation:
Since it's equally shared, and the total cost is C, then the answer is c/4