Find the side length of a cube with a volume of 141 f3 If necessary, round your answer to the nearest tenth.
The side length of the cube is 5.6 feet (rounded to the nearest tenth).
We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.
We can calculate s by taking the cube root of both sides of the equation:
\(s = (V)^{(1/3)\)
Substituting V = 141, we get:
\(s = (141)^{(1/3)\)
By using a calculator to evaluate this expression, we may determine:
s ≈ 5.6
As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.
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You are preparing to buy a house. Your monthly gross income is $3,200. a. What is the maximum amount you can finance (mortgage)? (4 points)
The maximum amount you can finance is $896.
We are given that;
The monthly gross income = $3,200
Now,
28% of your gross monthly income on your mortgage, including taxes and insurance
The percentage = 28%
3200* 28/100
=32*28
=896
Therefore, by percentage the answer will be $896.
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Find the mean student age. Show your work
mean is when you add everything and then divide by the total amount of numbers there are. Add all the decimals and divide by 5.
Write an equation of the line perpendicular to line MN that goes through point Q.
Francisco has solved the problem for you, but made a mistake.
Find the error in the work and correct the mistake. Show your work for full credit.
Francisco’s work:
Step 1: Slope of MN: 1/4
Step 2: Slope of the line perpendicular: 4
Step 3: y - y = m(x - x) Q(6, -2)
y - (- 2) = 4 (x - 6)
Step 4: y + 2 = 4x - 24
Step 5: y + 2 - 2 = 4x - 24 - 2
Step 6: y = 4x - 26
Step completed incorrectly: ___
(I believe the step completed incorrectly is 2? But I’m not very sure on the showing my work part as well.)
Answer:
Step completed incorrectly: 2
Correct Answer: y = -4x + 22
Step-by-step explanation:
The graph is a straight line through points M(4, -1) and N(8, 0). Point Q is located at (6, -2).
To calculate the slope of the line, substitute the points into the slope formula:
\(\textsf{Slope $(m)$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-(-1)}{8-4}=\dfrac{1}{4}\)
Therefore, the slope of MN is 1/4, so step 1 of Francisco's calculations is correct.
If two lines are perpendicular to each other, the slopes of these lines are negative reciprocals. The negative reciprocal of a number is its negative inverse.
The negative reciprocal of 1/4 is -4.
Therefore, the slope of the perpendicular line is -4.
So Francisco has made an error in his calculation in step 2 by not making the perpendicular slope negative.
Corrected work
\(\textsf{Step 1:} \quad \sf slope\;of\;MN:\; \dfrac{1}{4}\)
\(\textsf{Step 2:} \quad \sf slope\;of\;the\;line\;perpendicular:\; -4\)
\(\begin{aligned}\textsf{Step 3:} \quad y-y_1&=m(x-x_1)\;\; \sf Q(6,-2)\\y-(-2)&=-4(x-6)\end{aligned}\)
\(\textsf{Step 4:} \quad y+2=-4x+24\)
\(\textsf{Step 5:} \quad y+2-2=-4x+24-2\)
\(\textsf{Step 6:} \quad y=-4x+22\)
Therefore, step 2 has been completed incorrectly.
The correct answer is y = -4x + 22.
CONSTRUCTION Every 128 fluid ounces of
stain covers about 200 square feet of wood.
About how many fluid ounces of stain
does a homeowner need to stain the beam
shown? (Assume the back of the beam does
not need to be stained.)
Don’t look at 17 nor the pink rectangle pls!! HELPP :(
Answer:
6.08 fluid ounces
Step-by-step explanation:
You want the amount of stain required to cover the surface area of the ends and three sides of a beam 6" square and 6 ft long. 128 floz of stain will cover 200 square feet.
End areaThe two ends of the beam are 1/2 ft square, so the area of each is ...
A = s² = (1/2 ft)² = 1/4 ft²
The two ends have a total area of ...
2 × (1/4 ft²) = 1/2 ft² . . . . end area
Side areaThree of the four sides of the beam are to be stained, so their total area is the area of 3 rectangles, each of which is 1/2 ft by 6 ft.
The area of each rectangle is ...
A = LW
So, the area of the three rectangles is ...
total side area = 3 × (1/2 ft)(6 ft) = 9 ft²
Beam areaThen the area to be stained is the sum of the end area and the side area:
stained area = (1/2 ft²) +(9 ft²) = 9.5 ft²
Stain quantityThe amount of stain required is proportional to the area, so we can write the proportion ...
q/(9.5 ft²) = (128 floz)/(200 ft²)
Multiplying by 9.5 ft² gives ...
q = (128 floz)(9.5/200) = 6.08 floz
The homeowner needs 6.08 fluid ounces of stain to stain the beam.
32) Out of 525 people surveyed, 210 answered yes. Estimate how many people would answer yes if 900
people were surveyed.
Answer:
360 people
Step-by-step explanation:
\(\frac{ 210}{525}*900\)\(=360\)
Hope this helped! :)
Molly is ordering a birthday cake for her party. She wants to buy the largest cake to make sure there is enough cake for all of her guests. Should she buy the rectangular cake, the square cake, or the circular cake?
Rectangular cake : 11” x 14”
Square cake : 12” x 12”
Circular Cake: 14” diameter
The rectangular cake has the largest area, Molly should buy the rectangular cake to ensure that there is enough cake for all of her guests.
What does area mean?In mathematics, the area is a measurement of the amount of space inside a 2-dimensional shape or surface. It is usually measured in square units, such as square meters, square feet, or square centimeters. For example, the area of a rectangle is calculated by multiplying the length and width of the rectangle. The concept of area is important in many fields, including geometry, architecture, physics, and engineering.
According to the given informationTo determine which cake is the largest, we need to compare their areas. The formula for the area of a rectangle is length x width, the formula for the area of a square is side x side, and the formula for the area of a circle is pi x radius².
For the rectangular cake, the area is:
11” x 14” = 154 square inches
For the square cake, the area is:
12” x 12” = 144 square inches
For the circular cake, the area is:
π(7”)²≈ 153.94 square inches
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A particular extension cord can support up to 8 amps. Martino has an iron whose label states 720 watts, and he wonders if the iron can be plugged into the extension cord. If watts are converted to amps by dividing by 144, how many amps does the iron use?
Answer:
Step-by-step explanation:
Remark
To convert watts to amps, divide the watts by the amps
Givens
720 watts
8 amps (maximum safety of extension chord)
144 conversion factor
Solution
Amps = 720 watts / 144
Amps = 5
Answer
The iron uses 5 amps of current.
The extension chord is safe to use since 5 is less than 8
Answer:
720÷144=5 AMPS
Step-by-step explanation:
5ANSWER
Find a pair of integers whose difference gives zero.
A)8 and 1
B)8 and 2
C)8 and 3
D)-8 and -8
Answer:
Answer is D.
Please mark my answer as Brainliest if you found this one helpful.
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
30 POINTS NEED HELP ASAP MATH QUESTION
A. 19
B. 108
C. 133
D. 763
Answer:
I believe the answer is d because it couldn't be any smaller than either box.
Answer:
D)
Step-by-step explanation:
We know, that looking from Solid #1, there is 192 M&M's. Since the width is 4 cm, and the length is 5 cm, and the height is 4 cm, we know that with a square of length and width of 7cm, and a height of 6.5, it would have a larger volume, and would hole more M&M's. Which means...
we could eliminate options A), B), and C),
Which leaves us with D).
Hope this helps...
Write the algebraic rule for the given verbal descriptions Translation right 5 units, up 6 units Group of answer choices (x,y)⟶(x+5,y+6) (x,y)⟶(5x,6y) (x,y)⟶(x+6,y+5) (x,y)⟶(x−5,y+6)
Answer:
(x,y)⟶(x+5,y+6)
Step-by-step explanation:
First lets identify what we are doing. We know that 6 units up is a verticle translation. We know that going up numbers means that the number are being added, so we know that it will be a plus six. Next, we know that we are going five units to the right. We know that going right in terms of numbers means that that number is getting bigger, and is having numbers added. As such, we know that the horizontal translation of five units right will be positive, so it would be plus five. Remember when going left, you are subtracting a number, and when going right, you are adding. Also, we must make sure that we understand that the verticle translation changes the y coordinate, while the horizontal translation changes the x coordinate.
So we can put together what we learned.
The answer is:
(x,y)⟶(x+5,y+6)
Algebra transformation
f(x) =
f(x) =
f(x) =
f(x) =
Algebra transformation
for Graph1 f(x)=f(x)+4
for Graph2 f(x)=-f(x-4)
for Graph3 f(x)=f(x-7)
for Graph4 f(x)=f(x-2)-5
Define reflection of graphIn mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.
Graph1
Transform the graph by +4 units in y direction.
f(x)=f(x)+4
Graph2
Transform the graph by +4 units in x direction.
f(x)=f(x-4)
Now take the reflection of graph about x axis
f(x)=-f(x-4)
Graph3
Transform the graph by +7 units in x direction.
f(x)=f(x-7)
Graph5
Transform the graph by -5 units in y direction.
f(x)=f(x)-5
Now Transform the graph by -2 units in x direction.
f(x)=f(x-2)-5
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the sum of two the digits of two number digits is 11 if 45 os subtracted from the number the digits number will be reversed find the number
Answer:
11 and 45=34
Step-by-step explanation:
dsnsnafsysjsbdfysjqbscs hi sweets
Which value is greater?
what is the answer ?
Answer:
x= y+2/3+4
Step-by-step explanation:
Round to the nearest tenth: 6.752
Answer:
6.8
Step-by-step explanation:
To round 6.752 to the nearest tenth consider the hundredths’ value of 6.752, which is 5 and equal or more than 5. Therefore, the tenths value of 6.752 increases by 1 to 8.
Write the equation of the line that goes through the points A(3,-2) and B(5,4)
Answer:
y = 3x - 11
Step-by-step explanation:
(3, -2) and (5, 4)
m = 4+2/5-3
m = 6/2
m = 3
y = 3x + b
4 = 3(5) + b
4 = 15 + b
b = -11
y = 3x - 11
Find the value of x to
the nearest whole
number.
Answer: i'm kind of just guessing, but i think x = 13
Step-by-step explanation:
please don't ask me how i don't know
The diagram below shows a cone and a cylinder that have congruent bases and congruent heights.
2.5 in
2.5 in
4 in.
Which statement, where h represents the height of the cone and the height of the cylinder, is true?
its x of course :)))
Solve the following equation algebraically: 3 x squared = 375 a. x almost-equals 49 b. x almost-equals plus-or-minus 49 c. x almost-equals 11.18 d. x almost-equals 11.18
The correct solution of the equation is,
⇒ x almost-equals 11.18.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The equation is,
⇒ 3x² = 375
Now, We can solve the equation as;
⇒ 3x² = 375
Divide by 3;
⇒ x² = 125
⇒ x = √125
⇒ x = 11.18
Thus, The value of x = 11.18
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Which expression is equivalent to?
6(2m - 1) – 4(m + 8)?
8m + 31
8m + 7
8m - 38
2m - 38
Answer:
8m-38
Step-by-step explanation:
6(2m-1)-4(m+8)
12m-6-4m-32
12m-4m-6-32
8m-6-32
8m-38
50 Points! Multiple choice geometry question. Photo attached. Thank you!
The value of angle BCD is determined as 108⁰.
option B is the correct answer.
What is the value of angle BCD?The value of angle BCD is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.
Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.
arc AB = m∠ACB
m∠ACB = 72⁰
The value of angle BCD is calculated as follows;
angle BCD = 180 - 72⁰ (sum of angles in a circle)
angle BCD = 108⁰
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rob has earned $125.74 making videos. He earns $0.02 for every view he gets. Write a function e(v) to shows the total amount of money he has earned, after v, the number of views. e(v) =
The function e(v) that shows the total amount earned after v views is
e(v) = 0.02v
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Amount earned per view = $0.02
Total amount earned = $125.74
The number of views.
= 125.74 / 0.02
= 6287
The function e(v) shows the total amount earned after v views.
e(v) = 0.02v
Thus,
e(v) = 0.02v
e(6287) = 0.02 x 6287 = $125.74.
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answer this ! please
Use the number line below, where RS=6y+3, ST=4y+8, and RT=61.
a. What is the value of y?
b. Find RS and ST.
Using the number line below, where RS=6y+3, ST=4y+8, and RT=61, the value of y was found to be 4.
what is line segments ?An area of a line that can connect two points is known as a line segment. A and B, the ends of this line segment, both have fixed lengths. The separation between endpoints A and B is the length of this line segment. An area or portion of a line with two endpoints is known as a line segment. A line segment has a set length as opposed to a line. Both metric measurements, such as millimeters and centimeters, as well as conventional units, such as feet or inches, can be used to measure the length of a line segment. The length of one line segment in comparison to the other when there are two can be determined just by glancing at them. The line segment CD is longer than AB, as can be seen.
given
ST = 2y + 9 RS = 7y + 3
RT = 14y - 8
S lies between R and T, hence we can deduce that:
RS plus ST = RT
Therefore, we can swap out the equations for each of the segments above to obtain:
We can now solve this for y; to do so, let's move all the phrases that begin with y to the left.
14y -7y - 2y = 3 + 9 + 8\s(14 - 7 - 2) (14 - 7 - 2)
*y = 20
5*y = 20
y = 20/5 = 4\
y = 4
The value of y was determined to be 4.
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Solve the following equation for x: 5x + 3y = 15.
x = negative three fifthsy − 3
x = negative three fifthsy + 3
x = three fifthsy + 3
x = three fifthsy − 3
Answer:
x = negative three fifthsy + 3
Step-by-step explanation:
5x + 3y = 15
Subtract 3y from both the sides,
5x = 15 - 3y
Divide by 5 on both sides,
x = -3y/5 + 15/5
x = -3y/5 + 3
1+5/4n+3/2p-3-1/2p+3/4n
Answer:
The simplified expression of your question is
11n/2-p/2-2
Sarah bought two tables that cost $20 each and eight chairs for $10 each she bought enough plates to have one for each chair if The plates cost two dollars each how much did she spend in her?
Answer:
I think when you said "in her" you meant "in all" so... the answer should be 136 if im not mistaken.
Step-by-step explanation: 2 x 20 = 40
40 + 8 x 10 = 120
she got enough plates for each seat (eight)
so 8 x 2 = 16
120 + 16 = 136.. :P
maths question, been stuck on for ages
Answer:
14.4
Step-by-step explanation:
1) 16^2-7^2=207
2) square root of 207 is 14.4 (to 1 decimal place).