(brainliest is gonna begiven answer correctly please) Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem.
A cube-shaped bin has an edge length of 12 yard.
What is the volume of the container?
Enter your answer, as a fraction in simplest form, in the box.
Answers
Answer:
[tex]\sf V=\dfrac18\: \sf yd^3[/tex]
Step-by-step explanation:
Volume of a cube formula
[tex]\sf V=s^3[/tex]
where:
V = volumes = edge lengthGiven:
s = 1/2 yard[tex]\sf \implies V=\left(\dfrac12\right)^3[/tex]
Apply exponent rule [tex](\frac{a}{b})^c=\dfrac{a^c}{b^c}[/tex]
[tex]\sf \implies V=\dfrac{1^3}{2^3}[/tex]
[tex]\sf \implies V=\dfrac18\: \sf yd^3[/tex]
Volume:-
side³(1/2)³1/2³1/8yd³Related Questions
Prove that y=sin(x) then dy/dx=cos(x)
Answers
Step-by-step explanation:
You will have to use the limit defition of the derivative. Brainly does not have calculus symbols, which is very unfortunate, so I can only use my words. Take the limit as the change in 'x' approaches zero. You will have:
[tex] \frac{sin(x + {x}^{.} ) - sin(x)}{ {x}^{.} } [/tex]
If you let "x dot" equal zero as the limit requires, you will get 0/0 which is indeterminate. Break up the first term using the formula for the sine of a sum. You get:
[tex] \frac{sin(x)cos( {x}^{.} ) + sin( {x}^{.})cos(x) - sin(x) }{ {x}^{.} } [/tex]
Factor a sin(x) from the first and third term to get:
[tex] \frac{sin(x)(cos( {x}^{.}) - 1 ) + sin( {x}^{.})cos(x) }{ {x}^{.} } [/tex]
Use the linearity to break the limit into two parts:
[tex] \frac{sin(x)(cos( {x}^{.}) - 1 )}{ {x}^{.} } + \frac{sin( {x}^{.} )cos(x)}{ {x}^{.} } [/tex]
First term converges to zero, second term converges to cosine. Therefore proving the derivative of sine is cosine
Read the excerpt from a speech that British Prime Minister Winston Churchill made shortly after Japan bombed Pearl Harbor. What is Churchill’s intention with this part of the speech.
Answers
Answer: B
Step-by-step explanation: Churchill reminds the world that there is still a war, and still many people suffering. But he hopes that they can set aside their evil ways, and celebrate Christmas.
find the dimension of a rectangle whose width is 6 miles less than it width and whose area is 72 square miles.
Answers
5. 7.NS.1.2
Express the following fraction as a decimal.
11
25
etib all
bolo
Answers
Answer:
0.44 is the correct answer
Answer:
.44
Step-by-step explanation:
11/25
Multiply the top and bottom by 4
11*4
-------
25*4
44
-----
100
The decimal is .44
14 8/9 less than the product of 8 and a number d
whats an exspression for this
Answers
Answer:
(8*d)-14 8/9
Step-by-step explanation:
14 8/9 less than means: -14 8/9
product of 8 and a number d means: 8*d
It says 14 8/9 less than the product meaning the multiplying must be done first: (8*d)-14 8/9
This all comes down to order of the equation, and logic to understand meanings of phrases.
The average heights of four samples taken from a population of students are shown in the table. Which of these is most likely closest to the average height of the population? Sample size Average height (Inches) 10 63 20 54 30 57 40 59 O A. 54 B. 63 C. 59 O D. 57
Answers
Answer:
59
Step-by-step explanation:
I answered got it wrong and found the answer
The height 59 inches in most likely closest to the average height of the population.
The correct answer is an option (C)
What is average?
"It is the ratio of the sum of all given observations to the total number of observations. "
For given question,
We have been given the average heights of four samples taken from a population of students.
The mean(average) of the average height of the population would be,
[tex]\bar{X}=\frac{63+54+57+59}{4}\\\\ \bar{X}=58.25\\\\\bar{X}\approx 59[/tex]
Therefore, the height 59 inches in most likely closest to the average height of the population.
The correct answer is an option (C)
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PLEASE ANSWER I HAVE 5 MINS!! WILL MARK BRAINLIEST IF CORRECT
Answers
Answer: 49.2 or 49[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
The formula for surface area of a rectangular prism is [tex]2(wl+hl+hw)[/tex]
Where
w is width (5 for this)
l is length ([tex]1\frac{1}{5}[/tex] for this)
h is height (3 for this)
Now lets sub in the values and solve
[tex]2(wl+hl+hw)\\2[(5)(1\frac{1}{5}) +(3)(1\frac{1}{5})+(3)(5)]\\2[6+3.6+15]\\2[9.6+15]\\2[24.6]\\49.2[/tex]
answer: 49.2
step-by-step :
the width is 5
the length is 1 1/5
the height is 3
Mr. Gray’s quiz was normally distributed with a mean of 25 and a standard deviation of 10 find z- scores for each of the following.
(a) 40 (b) 27 (c) 6
Answers
Z= x-u/sd
(a) x = 40
z = 40-25 / 10 = -15/10 = -1.5
(b) x = 27
z = 27-25 / 10 = 2/10 = 0.2
(c) x = 6
z = 6-25 / 10 = -19/10 = -1.9
Hope that helped
What is the next term of the arithmetic sequence? -3, -7,-11, –15,
Answers
Answer:
-19
Step-by-step explanation:
The sequence is going down by 4
The sequence is subtracting 4.
- 15 - 4 = -19
Friends have a party. Joyce invited 17 friends to a dinner party at her house last Friday
evening. She gave each guest a card with a number from 2 through 18, reserving the
number 1 for herself. When she had everyone paired off at the dinner table, she noticed
that the sum of each couples' number was a perfect square. What number did Joyce's
partner have?
Answers
Answer:
15
Step-by-step explanation:
Joyce reserved number 1 for herself
Of all the possible combinations,
1 and 15 is a perfect match for a perfect square
So,Joyce dinner partner was number 15.
Please help! I will give Brainliest!!!
Here are 3 receipts for meals at the same restaurant. Fill in the missing values for each recipe.
Answers
Answer:
Burger: 9.00
18%tip: 2.16
total with tip: 14.16
Salad: 8.00
Tatal: 11.00
Total with tip: 12.00
Water: 1.19
total: 9.19
18% tip: 2.02
Step-by-step explanation:
I am unsure of the salad pretty sure it's 8 dollars but I am unsure
I've attached my written workings :)
What is the slope of the line y=4x – 6?
A.1/4
B.-6
C.4
D.6
Answers
Answer:
C. 4
Step-by-step explanation:
the slope is always the factor of x.
Which value makes the equation 3x - 6 = 36 true?
A.) 10
B.)12
C.) 14
D.) 16
Answers
Answer:
C) 14
Step-by-step explanation:
3x-6=36
3x=36+6
3x=42
x=42/3
x=14
Muna claims that the expression (8)(16) + (8)(12) + (16)(12) represents the
surface area, in square inches, of the right rectangular prism shown. Is Muna
correct? Explain.
Answers
The surface area of a right rectangular prism is the amount of space on it.
Muna's claim is incorrect
How to determine the surface area?
The surface area of a right rectangular prism is calculated as:
A = 2 * (lw + lh + wh)
So, we have:
A = 2 * (8 * 16 + 8 * 12 + 16 * 12)
The above expression implies that Muna's claim is incorrect
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Given a right triangle Solve for C if a=3 and b=4=3 and b=4
Answers
the formula would be a^2 + b^2 = c^2. so do
3^2 + 4^2 = c^2
9+16=c^2
25 = c^2
then find the square root so
c = 5
The cost of a digital camera is $389.99. If Radio Shack offers a 25% discount and the tax is 6%, what is the final cost of the camera?
Answers
Answer:
$310.04
Step-by-step explanation:
you do 389.99 time .75 then you do the number you get from there times 1.06 to get your answer.
Althea recorded the amount she earned from T-Shirt sales each day for 14 days. She organized the data into the frequency table shown. Write a problem that can be answered by using the frequency table.
Answers
A problem that can be solved using the frequency table is "what is the total amount earned for the 14 days of the sale?".
What is a frequency table?A frequency table is used to display the frequencies of different outcomes in a sample.
Looking at the frequency table, total amount earned can be determinined by adding the multiplication in the third column together.
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A container manufacturer plans to make rectangular boxes whose bottom and top measure 4x by 3x. The container must contain 48in.3 The top and the bottom will cost $1.80 per square inch, while the four sides will cost $3.70 per square inch.
What should the height of the container be so as to minimize cost? Round your answer to the nearest hundredth.
Answers
The height of the container that will be able to minimize the cost will be 3.08cm.
How to calculate the height?The volume of the box will be:
= (3x)(4x)h
= 12x²h
From the information given, we are told that the container must contain 48in³. Therefore,
48 = 12x²h
h = 4/x²
The function cost will be:
= 3.50(2)(12x²) + 4.40(14x)h
= 84x² + 61.6x(4/x²)
= 84x² + 246.4/x
We'll use the first derivative. This will be:
dC/dx = 168x - 246.4/x²
x = 1.14.
Therefore, the height will be:
h = 4/x² = 4/1.14² = 3.08cm
In conclusion, the height is 3.08cm.
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he following diagram, the ship is anchored to the ocean floor. The length of the rope attaching the
o the boat is 30m. The angle of elevation from the anchor to the ship is 39 degrees. Determine, to th
meter, the distance from the ship to the ocean floor
Determine, to the nearest meter, the distance o
rom the anchor to where the boat is perpendicular to ground.
Answers
The distance between the boat and the ocean's floor is 19m
How to get the distance from the ship to the ocean's floor?
We can see this as a right triangle, where the rope with the anchor is the hypotenuse. So we already know that the hypotenuse measures 30m.
We also know an angle, it measures 39°, and we want to get the opposite cathetus to said angle (the height).
Then we use the relation:
Sin(a) = (opposite cathetus)/(hypotenuse).
Replacing the values that we know, we get:
Sin(39°) = d/30m
sin(39°)*30m = d = 18.9m ≈ 19m
The distance between the boat and the ocean's floor is 19m.
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Please help me out answering this
Answers
Answer:
OPTION A
Step-by-step explanation:
we start by multiplying both roots.
we then get negative 3 times the third root of: 40 × x^9 × y^3
we then simplify to get:
-24 × x^3 × y × third root of 5
[tex]\\ \rm\Rrightarrow -\sqrt[3]{2x^4y^2}\times 3\sqrt[3]{20x^5y}[/tex]
√a√b=√ab[tex]\\ \rm\Rrightarrow -3\sqrt{40x^9y^3}[/tex]
On simplifying[tex]\\ \rm\Rrightarrow -3(6x^3y\sqrt[3]{5}[/tex]
[tex]\\ \rm\Rrightarrow -24x^3y\sqrt[3]{5}[/tex]
Which of the following ordered pairs are solutions to the system of
inequalities? Check all that apply.
2x < y
y>7
O A. (8,2)
O B. (0,0)
O C. (5,5)
O D. (1,9)
O E. (17,50)
OF. (-1, 10)
Answers
Answer:
Options D, E, F
Step-by-step explanation:
Given the following system of linear inequalities in two variables:
[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]
We can substitute the given ordered pairs to see whether they satisfy both linear inequalities.
Option A: (8, 2)[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]
2x < y
⇒ 2(8) < 2
⇒ 16 < 2 (False statement).
y > 7
⇒ 2 > 7 (False statement).
⇒ (8, 2) is not a solution to the system.
Option B: (0, 0)[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]
2x < y
⇒ 2(0) < 2
⇒ 0 < 2 (True statement).
y > 7
⇒ 0 > 7 (False statement).
⇒ (0, 0) is not a solution to the system.
Option C: (5, 5)[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]
2x < y
⇒ 2(5) < 5
⇒ 10 < 2 (False statement).
y > 7
⇒ 5 > 7 (False statement).
⇒ (5, 5) is not a solution to the system.
Option D: (1, 9)[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]
2x < y
⇒ 2(1) < 9
⇒ 2 < 9 (True statement).
y > 7
⇒ 9 > 7 (True statement).
⇒ (1, 9) is a solution to the system.
Option E: (17, 50)[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]
2x < y
⇒ 2(17) < 50
⇒ 34 < 50 (True statement).
y > 7
⇒ 50 > 7 (True statement).
⇒ (17, 50) is also a solution to the system.
Option F: (-1, 10)[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]
2x < y
⇒ 2(-1) < 10
⇒ -2 < 10 (True statement).
y > 7
⇒ 10 > 7 (True statement).
⇒ (-1, 10) is also a solution to the system.
Final Answer:Therefore, Options D, E, and F are the solutions to the given system of linear inequalities.
___________________________Keywords:Linear Inequalities in two variables
System of linear inequalities
________________________________
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What is the answer to 5 + 2/5?? Please help!!!
Answers
Answer:
The answer is 12/5.
Step-by-step explanation:
5 + 2/5=
10/5 + 2/5=
12/5
20 characters or more
Answers
It yields a straight line almost
(1,1)(3,2)Slope:-
m=2-1/3-1m=1/2But it's not accurate and somehow wrong as it's exponential and our slope must be in log form
But thing we get that slope is positive so association is positive
Option BAnswer:
b) Since the y-values increase as the x-values increase, the scatter plot shows a positive association.
Step-by-step explanation:
In a scatter plot:
The explanatory (independent) variable is along the x-axisThe response (dependent) variable is along the y-axisCorrelation measures how closely two variables are linked.
Positive correlation: response variable increases as the explanatory variable increasesNegative correlation: response variable decreases as the explanatory variable increasesThe given scatter plot shows the y-variable increasing as the x-variable increases. Therefore, this shows a positive correlation.
Therefore, the solution is:
b) Since the y-values increase as the x-values increase, the scatter plot shows a positive association.
Two groups of tourist fly to Japan. It takes the first group 4 hours less than the second to fly
there. If it takes the first group 17 hours, how many hours does it take the second group?
Answers
Answer:
21
Step-by-step explanation:
think about it this way. if the first group takes 17 hours, and the second group takes 4 hours more than the first group, then how long does the second group take?
Answer these?
3. John bought 2 kg apples, 4 kg mangoes, 1 kg pears and put them in his bag. Find the total weight of the fruits in his bag.
4. Three brothers weigh 30 kg, 25 kg and 45 kg. Find their total weight.
5. A man weighs 72 kg and his wife weighs 59 kg. How much does the man weigh more than his wife?
6. Papaya sells at $16 per kg. Find the cost of 4 kg of these papayas.
7. A bag of wheat weighs 25 kg. Find the total weight of 8 such bags.
Answers
Answer:
3. 7kg
4. 100kg
5. 13kg more
6. $64
7. 200kg
another object has a mass of 360 g and a density of 9 g/cm3 what is the volume of the object
Answers
Answer:
40 square centimeters
Step-by-step explanation:
so if the density is 9 grams per square centimeter (for every 9 grams, there is 1 square centimeter):
360/9=40
40 cm squared
In 2021, a married couple earned combined wages of $150,000. They have no children but made $18,000 of pre-tax 401(k) contributions. They will claim the standard deduction. Their state allows an exemption of $1000 per person for a total deduction of $2000. Their state tax is a flat rate of 5%. a. Estimate the amounts of Federal and State taxes they will owe.
Answers
The amounts of Federal and State taxes that the couple will owe will be $25100 and $7500 respectively.
What is a tax?A tax simply means a compulsory levy that's paid to the government by individuals and businesses.
In this case, the standard deduction for married couples that are filing jointly is $25100. Also, the state tax will be:
= 5% × $150000
= 0.05 × $150000
= $7500
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2. Given the graph, which of the statements in function notation represent the situation?
a f(-1) = 4
b. f(-4) = -1
C. f(4) >
y = f(x)
d. f(x) = -4 when x is -1
e. f(x) = -1 when x is -4
f. f(2)=f(6)
g. f(0) = -2
h. f(-2) = 0.
Answers
Answer:
[tex] \rule{40pt}{99999pt}[/tex][tex] \rule{40pt}{99999pt}[/tex]
Answer:
D , F and G
Step-by-step explanation:
D, F and G are true in this case
Sand Hill Crane Elementary is
collecting food to donate. Their goal
is 2 tons of food so far they have
collected 2,798 pounds of food.
How many more pounds of food do
they need to collect?
Answers
The pounds of food that Sand Hill Crane Elementary needs to collect more in order to reach their goal is 1202 pounds.
How many more pounds needs to be collected?The first step is to convert tons to pounds.
1 ton = 2000 pounds
2 tons x 2000 = 4000 pounds.
The second step is to subtract the pounds of food collected so far from the goal.
4000 - 2798 = 1202 pounds.
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Given the function F(x) = 2x2 - 6, find the value F(-1).
Answers
Answer:
-4Step-by-step explanation:
Given
F(x) = 2x² - 6We are asked to find F(-1).
This can be done by substituting -1 in place of x in the function.
F(-1) = 2(-1)² - 6F(-1) = 2(1) - 6F(-1) = 2 - 6F(-1) = -4