Each face of a cube has an area of 4 square units, then the volume of the cube is 8 cubic units.
The given information states that each face of the cube has an area of 4 square units.
Since a cube has 6 faces, this means that the total surface area of the cube is:
Total Surface Area = 6 * 4 square units = 24 square units
Now, let's relate the surface area of the cube to its volume:
For a cube, the surface area (S) and the volume (V) are related by the formula:
S = 6s²
Where "s" is the length of each side of the cube. In this case, we have:
S = 24 square units
Substitute this into the formula:
24 = 6s²
Now, solve for "s":
s² = 24 / 6
s² = 4
Take the square root of both sides:
s = √4
s = 2
So, each side of the cube is 2 units long.
Now, to find the volume of the cube, you can use the formula for the volume of a cube:
V = s³
Substitute the value of "s":
V = 2³
V = 8 cubic units
Therefore, the volume of the cube is 8 cubic units.
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PLEASE HELPP ITS DUE IN A HOUR
Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room and put in new flooring. The room is rectangular, with dimensions of 16 feet by 13.5 feet. The walls in the room are 9 feet tall, and the room contains two doors and two windows.
The new bedroom set she purchased includes a queen-sized bed, one nightstand, and a dresser. The following dimensions represent the rectangular length and width dimensions of the furniture.
Bed: 60 inches by 80 inches
Nightstand: 18 inches by 18 inches
Dresser: 64 inches by 18 inches
Charlotte plans to place the bed in the center of one of the long walls of the room. And, she plans to place the dresser in the center of the opposite long wall. The nightstand will be placed on one side of the bed.
Using the scale 1/4, inch = 1 foot, make a model scale drawing of the bedroom. Label the exact scaled dimensions of the room and sketch in the approximate placement of the furniture. Note: You do not need to calculate the exact scaled measurements of the furniture
Answer:
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please answer your very
Please answer quick its due soon!!
Answer:
50000000 HAIII OK YA IS WRONG BYY GL
Step-by-step explanation:
Answer/Step-by-step explanation:
A. constant rate is y = 2x
(Since it goes up by 2 and over one)
B. unit rate is 2 dollars per pound
C. y = 2 (10)
y = 20
$20 per 10 pounds of pears
Hope this helps :)
please help its geometry. Solve for x
Answer
the answer is x = 9 root 3
Mary sells fruit with four of her friends. If the earnings are divided evenly, how
much must the business make in order for each person to earn $30?
What is the variable for this problem?
A. friends
ООО
B. profit ratio
C. expenditures
D. total earnings
E, fruit
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let the total money earned be x
since each of them get equal share, therefore :
[tex]\qquad \tt \dashrightarrow \:5 \times 30 = x[/tex]
[tex]\qquad \tt \dashrightarrow \:x = \$150[/tex]
And here, we used Total earning as the variable in the problem ~
So, correct choice is D
Total persons including Mary=4+1=5
Earnings per person =$30
Total earnings
5(30)150$Option D
Given f(x)=x^3-7x+k, and the remainder when f(x) is divided by x-5 is 78, then what is the value of k?
Answer:
the answer is k= -12
Step-by-step explanation:
use x-5= 0
x=5
Find all values of k for which the equation 3x^2−4x+k=0 has no solutions.
Answer:
k>1 1/3
Step-by-step explanation:
i have rsm too bro
The given equation has no solution when K is any real number and k>12
We have given that
3x^2−4x+k=0
△=b^2−4ac=k^2−4(3)(12)=k^2−144.
What is the condition for a solution?If Δ=0, it has 1 real solution,
Δ<0 it has no real solution,
Δ>0 it has 2 real solutions.
We get,
Δ=k^2−144 here Δ is not zero.
It is either >0 or <0
Δ<0 it has no real solution,
Therefore the given equation has no solution when K is any real number.
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. Marcella leaves home at 8:00 AM and drives to school, arriving at 8:45 AM. If the distance she
traveled is 27 miles, what is Marcella's average rate of speed in miles per hour?
Step-by-step explanation:
the formula is distance/time
since it is miles per hour and the time is given in minutes. you divide 45minutes by 60(to convert it to hour) and then you divide 27 by the answer
Can someone help me?
Answer:
Step-by-step explanation:it is the degree of 4
If the point (-4,b) is on the line what is the value of b
Answer: if you are talking about a grid than the answer is 0.
Step-by-step explanation: this is becasuse the y coordinate is the elevation of the x coordinate. B is 0 because it is on the line meaning it has no elevation
the average of a class of 25 students is 12 years. if a boy is leave the class the average age of the class falls down to 11.8 75. find the age of the boy who left the class.
ANSWER
solution
here,
Correct option is B)
Total age of 40 old students =40×15=600years.
Total age of 40 old and 10 new students =50×15.2=760years
∴ Total age of 10 new students =760−600=160years
∴ Required average age =
10
160
=16years
Answer:
16 years is the answer
Step-by-step explanation:
My account got deactivated I am about to cry
LMNO is a kite. LO is 5 less than two times NO. The perimeter is 32 cm. Let x represent the length of side NO.
Answer: 7 cm
Step-by-step explanation:
Susana went on a trip. She covered a total of 135.7 km without making any stops along the way. and it took her exactly 2 hours to drive at her destination. At what average speed did she drive?
Answer:
67.85 kph
Step-by-step explanation:
Formula: Distance / Time = Speed per hour
135.7 / 2 = 67.85
hey I need help please help if you can ty!!! :)))
Answer:
12.3
Step-by-step explanation:
cause it's to the tenth which is the decimal place right after the decimal which make 12.342 12.3
What is 7 less than y
In math
Answer:
The algebraic expression is "y - 7".
Step-by-step explanation:
"7 less" means "- 7", so you're subtracting 7 from y. You then write it as "y - 7".
y-7
Solution:7 less means we subtract 7.Therefore, the expression "7 less than y" looks like so:y-7So we take a number y and subtract 7 from it.Hope it helps.
Do comment if you have any query.
What is a radian?
A) an angle measure with an arc length equal to one radius length
B) an angle measure with an arc length equal to one diameter length
C) an arc length that is the length of one diameter
D) a radius that is 3.14 inches long
Answer:
The answer is A
Step-by-step explanation:
An angle measure with an arc length equal to one radius length.
Given,
Radian.
Here,
Radian : An angle measure with an arc length equal to one radius length.
Radian is a measure of angle .
Degree measurements can be converted into radians.
For example,
30° = 30° × π/180°
30° = π/6
Thus radians can be converted into degrees by vice versa .
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I need help with these 2 problems Please and thank you :)
Answer:
the answer for the first is 3/4
and the answer for the second is 2x/x+5
Please help me please
Answer: x is 125
Step-by-step explanation: Angles P and S are also consecutive angles, adding up to 180 degrees. 180-55 = 125, so adding the two angles together is 180 degrees. Thus, x is 125.
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The correct answer would be:
-10x + y = 4
10x - y = -4
How many members did not vote for the art club the percent is 75% and there are 60 people?
Answer:
45 people
Step-by-step explanation:
Find what 1/4 (25%) of 60 is by dividing it by 4.
You get 15, then multiply that (25%) by 3 to get 75%.
15x3 = 45
45 is your answer.
Which type of function best models the data in the table?
A. linear
B. exponential
C. quadratic
D. inverse variation
Answer: Your answer is indeed D. Inverse variation.
Hope this helped!
Answer:
first question:
inverse variation
second question:
for evenly spaced x-values, the ✔ difference of consecutive y-values is not constant.
Step-by-step explanation:
hope this helps!! have an amazing day <3
Match the following, cylinder rectangular prism cone triangular prism square prism
Cylinder = 2πrh + 2πr²
where "h" - height, "r" - radiusRectangular Prism = 2lw + 2lh + 2wh also 2B + Ph
"l" - length, "w" - width, "h" - heightCone = πrl + πr²
"l" - slant height, "r" - radiusTriangular Prism = 2B + Ph
"B" - area of one base, "P" - perimeter of base, "h" - heightSquare Pyramid = 2l l + l²
"l " is height, "l" is side lengthWhich polynomial represents the area of the rectangle?
44-6
x +1
O 4x2 - 2x - 6
O 4.2 - 6
O 4.c+ 2x - 6
0422 - 10.2 - 6
The number 3 represents of the class.
Answer:
WE CANT ANSWER WITH THAT LITTLE OF INFORMATION
A triangle has sides of length 6 8 and 10. Do the sides form A Pythagorean triple? Explain
Steve travels from NYC to Boston at 90 mph
and returns to NYC at 60 mph taking 6 hours
total for the round-trip without stopping. What is
the distance between NYC and Boston?
(A) 192 mi.
(B) 208 mi.
(C) 216 mi.
(D) 224 mi.
(E) 272 mi.
Answer:
C
Step-by-step explanation:
d / rate = time
d / 90 + d/60 = 6 hours
(2d+ 3d)/180 = 6
5d = 1080
d = 216 miles
The distance from NYC to Boston is 216 miles.
We have a guy named Steve travels from NYC to Boston at 90 mph and returns to NYC at 60 mph taking 6 hours total for the round-trip without stopping.
We have to determine distance between NYC and Boston.
What is the formula to calculate the distance travelled by the body moving with speed ' v mph ' for ' t hours '.The distance covered by the body will be -
d = v x t
According to question, we have -
Assume that the distance travelled by Steve from NYC to Boston be x.
Then, total distance covered for the round trip = 2x.
From NYC to Boston -
Suppose that in going from NYC to Boston, Steve takes t hours. Then
x = 90 x t (1)
From Boston to NYC -
Steve will take (6 - t) hours to travel the distance. Then -
x = 60 x (6 - t) (2)
Now, Equating the equations (1) and (2), we get -
90 x t = 60 x (6 - t)
1.5t = 6 - t
1.5t + t = 6
2.5 t = 6
t = [tex]\frac{12}{5}[/tex] = 2.4 hours
Therefore -
x = 90 x 2.4 = 216 miles
Hence, the distance from NYC to Boston is 216 miles.
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Which fee could decrease an investor’s return on investment when the investor may not have bought or sold any stock for a significant period of time?
Answer:
the answer is B
Step-by-step explanation:
Answer:
inactivity fee
Step-by-step explanation:
Find the distance between the points
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
[tex]x1 = 2 \: \: y1 = 1 \\ x2 = 8 \: \: \: y = 9 \\ \\ \\ distance \: between \: two \: poit \: \\ = \sqrt{(x2 - x1) {}^{2} + (y2 - y1}) {}^{2} \\ \sqrt{(8 - 2) {}^{2} + (9 - 1) {}^{2} } \\ \sqrt{(6) {}^{2} + (8) {}^{2} } \\ \ = \sqrt{36 + 64} \\ = \sqrt{100 } \\ = 10[/tex]
A farmer has an equal number of horses in 4 different fields on his farm. Which choice could be the total
number of horses?
205
232
253
289
Answer:
B -- 232
Step-by-step explanation:
because you can divide 232 by 4 and get a whole number.
James is competing in the shot put event for his tracJames is competing in the shot put event for his track team. His best attempt can be modeled using the quadratic function below,
h(x)= -0.05x^2+ x + 6
where x represents the horizontal distance, in feet, the shot traveled and h(x) represents the height, in feet, of the shot.
In this situation, the height of the shot starts to increase when
x = feet. (11 , 0, 10, or 6)
It continues to increase until
x = feet, (6, 20, 11, or 10)
and then the height decreases until
x = feet. (10, 20, 24, or 11)
The height of the shot starts to increase when x is -5 feet, It continues to increase until x = 10 feet and then the height decreases until x = 25 feet
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h(x) represent the height of the shot put, when the horizontal distance is x feet.
h(x)= -0.05x² + x + 6
From the graph of h(x):
The height of the shot starts to increase when x is -5 feet, It continues to increase until x = 10 feet and then the height decreases until x = 25 feet
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Find the mean absolute deviation of the data below:
7,4,7,7,2,10,12,8,7,5
mean formula number of values divided by the total of all the values
so
100 divided by 10
ans 10