The edge lengths of a cube that has a 1.728 cm³ volume is 1.2 cm
What is the volume of a cube?The volume of a cube is the given by the length of one edge raised to the power of 3
The volume of a cube, V = Length, L × Width, W × Height, H
Given that the lengths of the edges of a cube are equal, we have!
Length, L = Width, W = Height, H
Which gives;
The volume of a cube, V = L × L × L = L³
Therefore, for the given cube, we have;
L³ = 1.728 cm³
1.728 = 1728/1000
(a + b)³ = a³ + 3•a²•b + 3•a•b² + b³
Taking a = 10, and b = 3, we have;
(10 + 2)³ = 10³ + 3×10²×2 + 3×10×2² + 2³ = 1728
Therefore;
1728/1000 = (10 + 2)³/10³ = 12³/10³
Which gives;
L³ = 12³/10³
[tex] \displaystyle {L = \sqrt[3]{ \frac{{12}^{3} }{ {10}^{3} } } = 1.2}[/tex]
The edge lengths of the cube, L = 1.2 cm
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f(x)= 3x; translation up 5 units
After applying the given translation we get the function as 3x + 5
Graph translation is the process of converting an equation or existing graph into a new graph.
One common type of algebraic issue is changing algebraic equations.
A parent function's graph is altered by a translation. The three different types of translation are dilations, reflections, and translations.
A function can have its y-values modified vertically or its x-values changed horizontally (affects the x-values).
We are aware that the x- and y-coordinates must be modified to reflect the translation by the specified amount.
f( x ) = 3x is translated 5 units upwards.
Therefore the required graph is f ( x ) = 3x + 5 .
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PLEASEEE HELP ME ON THIS QUESTION! I HAVE TO SUBMITTHIS IN A BIT PLEASE HELP! :))
Answer: 196.5 lbs
Step-by-step explanation:
[tex]237-9(4.5)=196.5[/tex]
Which number is most likely an irrational number?
OA. -33.948826765...
B. 10.600000000...
O C. -6.099999999...
OD. 0.874874874...
The answer is A because it's a non-recurring decimal.
Help with 4.), 5.), 8.), 10.), 12.) ? It due at 8:00, it’s 5:12 rn
Answer:
see explanation
Step-by-step explanation:
(4)
6 = hj + k ( subtract k from both sides )
6 - k = hj ( isolate j by dividing both sides by h )
[tex]\frac{6-k}{h}[/tex] = j
(5)
[tex]\frac{v}{w}[/tex] = 9 ( multiply both sides by w to clear the fraction )
9w = v ( divide both sides by 9 )
w = [tex]\frac{v}{9}[/tex]
(8)
A = [tex]\frac{1}{2}[/tex] bh ( multiply both sides by 2 to clear the fraction )
2A = bh ( divide both sides by h )
[tex]\frac{2A}{h}[/tex] = b
(10)
V = [tex]\frac{1}{3}[/tex] πr²h ( multiply both sides by 3 to clear the fraction )
3V = πr²h ( isolate h by dividing both sides by πr² )
[tex]\frac{3V}{\pi r^2}[/tex] = h
(12)
V = πr²h ( isolate r² by dividing both sides by πh )
[tex]\frac{V}{\pi h}[/tex] = r² ( take square root of both sides )
[tex]\sqrt{\frac{V}{\pi h} }[/tex] = r
16 is a what percen of 200
Answer:
32
Step-by-step explanation:
20. sarah and gabe are sharing a sheet of stickers. Sara has 2/7 of the sheet. Gabe has 1/4 of the sheet. What fraction of the sheet do sara and gabe have together?
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
5, 2, 5/3
Find the 10th Term
Answer:
-22
Step-by-step explanation:
10=a+9d
the first term is 5 and the common difference is -2
a=5
common difference=-3
5+9(-3)
5+(-27)
5-22
answer is -22
a textbook store sold a combined total of 392 biology and psychology textbooks in a week. the number of psychology textbooks sold was 48 less than the number of biology textbooks sold. how many textbooks of each type sold?
Number of biology book sold are 223.
Number of psychology books sold are 183.
What is equation?In algebra, an equation is a declaration of equivalence that includes one or more variables or unknowable quantities.
Given Data
A textbook store sold a combined total of 392 biology and psychology textbooks in a week. the number of psychology textbooks sold was 48 less than the number of biology textbooks sold.
Let number of biology books sold be x
Let number of psychology books sold be (x- 48)
Total book sold = 392
392 = x + x - 48
392 + 48 = 2x
446 = 2x
x = 223
Number of biology book sold are 223.
Number of psychology books sold are 183.
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On Tuesday, the mailman delivers three check for $5 and two bills for $2 each. If you had a starting balance of $25, what is the ending balance?
y + 8 < -9 solve for y please i need help im a smart student i just need a bit of help
Answer:
the answer is y<-17
Step-by-step explanation:
This is actually just like algebra.
y+8<-9
y<-9-8
y<-17
The segments shown below could form a triangle?
Answer:
yes
Step-by-step explanation:
it would form a acute triangle.
May someone please help me! I have to submit this tonight and do not know how to do it or the answer may you please help me thank you!
What kind of transformation converts the graph of f(x)=3x+9 into the graph of g(x)=3x–10?
Answer:
See below
Step-by-step explanation:
To get from +9 to -10 you will need to shift DOWN 19 units
Darlene has 6 3/4 gallons of gasoline. Every time she mows her lawn, she uses 3/8 gallon. How many times can she mow her lawn before she needs more gas?w
The number of times Darlene mow her lawn before she needs more gasoline is equal to 18times.
As given in the question,
Total gasoline with Darlene is equal to 6 3/4 gallons
Convert mixed fraction into proper fraction:
6 3/4 = 27/4 gallons
Every time amount of gasoline used to mow her lawn = 3/ 8gallon
Number of times Darlene mow her lawn before she needs more gasoline
= (27 / 4) ÷ (3 /8)
= (27 /4) × (8/3)
= 18 times
Therefore, the number of times Darlene mow her lawn before she needs more gasoline is equal to 18times.
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Graph the image of the figure using the transformation given.
A graph of the image of figure Q'R'S'T' after a dilation of 2 units about the origin is: graph C.
What is dilation?Dilation simply refers to a type of transformation which changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.
What is scale factor?A scale factor can be defined as the ratio of two (2) corresponding length of sides or diameter in two similar geometric figures such as triangles.
Note: Each interval on this graph represents 1 unit.
For the given coordinates, the dilation with a scale factor of 2 about the origin or a center of dilation (0, 0) should be calculated as follows:
Point Q (-2, -1) → Point Q' (-2 × 2, -1 × 2) = Point Q' (-4, -2).
Point R (-1, 2) → Point R' (-1 × 2, 2 × 2) = Point R' (-2, 4).
Point S (1, 0) → Point S' (1 × 2, 0 × 2) = Point S' (2, 0).
Point T (2, -2) → Point T' (2 × 2, -2 × 2) = Point T' (4, -4).
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what is x when 2x + 5 = 15
period ahh period uhh
Answer:
x=5
Step-by-step explanation:
2x + 5 = 15
2x5=10
5+10=15
Hopes this helps
Answer:
x = 5
Step-by-step explanation:
2x + 5=15 Set up equation
2x= 15-5 Put like terms together
2x= 10 Subtract like terms
x= 10/2 Isolate and divide
x= 5 Answer
A study on students drinking habits wants to determine the true average number of alcoholic drinks all uf greek students have in a one week period. We know from preliminary studies that the standard deviation is around 6. 3. How many students should be sampled to be within 0. 5 drink of population mean with 95% probability?.
Number of students need to be sampled = 610
A study to determine the true average number of alcoholic drinks consumed by Greek students is conducted.
Standard Deviation, σ = 6.3
Margin Error of population mean, E = 0.5
Probability = 95% = 0.95
The p-value corresponding to 0.95 probability = (1+0.95)/2 = 0.975
The z-score corresponding to this p-value = 1.96 [from the z-tables]
Now, The margin error, E = zσ/√n, where n is the sample size
⇒ n = (zσ/E)²
⇒ n = (1.96 x 6.3/0.5)²
⇒ n ≈ 610
Hence 610 students need to be sampled.
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please help ill give uu crown to the first person who is right
Answer:
No
Step-by-step explanation:
Using a graph typing in 9x and looking at the table, (2,1) is not on the table, so (2,1) is not a solution to 9x
Answer:
No
Step-by-step explanation:
to determine if (2, 1 ) is a solution, substitute the x- coordinate into the equation and if the result is equal to the y- coordinate then it is a solution.
y = 9x ( substitute x = 2 )
y = 9 × 2 = 18 ≠ 1
then (2, 1 ) is not a solution to the equation.
Convert to a percent: 0.341 A. 0.341% B. 341% C. 3,410% D. 34.1%
Answer:
34.1%, D
Step-by-step explanation:
To convert a number into a percent, you multiply it by 1, or more precisely, 100%. 100% can be thought of as 100 * 1%
0.341 * 100 * 1 % = 34.1%
Answer:
Step-by-step explanat
Marc usually rides his bike to school. He leaves his house and
goes east to the park and then turns south and continues until he
reaches school. How many blocks does he ride to get to school?
Answer:2 blocks
Step-by-step explanation:
because just trust me
What integer would represent a withdrawal of $170?
Answer:
-170
Step-by-step explanation:
we are withdrawing so minus from original amount
Hello! What graph could be used to find the solutions to the system of equations? Thanks for your help!
The Solution:
Given:
[tex]\begin{gathered} y=\frac{2x-2}{x-3} \\ \\ x-y=1 \end{gathered}[/tex]Required:
To determine the graph that represents the given system.
Below is the graph of the given system:
Therefore, the correct answer is [ option 2 ]
(2x - y)² =
(3x-1)(3x+5)=
Please help simplify both problems !
Answer: 4x^2 - 4xy + y^2 and the second one 9x^2 + 12x - 5
I hope this helps
What symbol makes -3/4 and -11/12 a true sentence?
Answer: -3/4>-11/12
Step-by-step explanation:
its a negative so there's more of the -3/4 than the -11/12 because the -11/12 is 2 more units below the -3/4
) Write 2350 million in standard form.
What is equivalent to 4x-3y=15
Answer: y = 4/3 x - 5
Step-by-step explanation: trust me
what is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations? (round your answer to four decimal places.)
The probability that maximum speed differs from the mean value by at most 2.5 standard deviations is 0.8473
Let the required probability that the maximum speed of mopeds differs from the mean speed by 2.5 standard deviations be given by P(U±2.5).
Mean speed U =46.7km/hr
P(46.7±2.5) = (44.2<= X <=49.2)
= P( 44.2<= Z <= 49.2)
= P(44.2 - 46.7/1.75 <= Z <= 49.2- 46.7/1.75)
= P( - 1.4286 <= Z <= 1.4285)
= P(1.4285) - P(-1.4285)
= P(1.43 ) - P(-1.43)
= 0.92364 - 0.07636
= 0.8473
Thus the probability that maximum speed differs from mean value by at most 2.5 standard deviations is 0.8473
the question is incomplete and the full question is "Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of operation, and low cost. Suppose the maximum speed of a moped is normally distributed with a mean value of 46.7 km/h and a standard deviation of 1.75 km/h. Consider randomly selecting a single such moped
What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations? (Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question"
problem on mean and standard deviation
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The amounts of e-waste generated in a region during two years were 14,200,000 tons and 10,700,000 tons. What was the total e-waste generated over these two years in the region, expressed in scientific notation? (5 points)
Group of answer choices
2.49 ⋅ 1014 tons
2.49 ⋅ 107 tons
24.9 ⋅ 1014 tons
24.9 ⋅ 107 tons
The total e-waste generated over these two years in the region, expressed in scientific notation, is B. 2.49 x 10^7 tons.
What is a scientific notation?Scientific notation is a standard form of expressing a short or large number in a decimal form.
Scientific notation involves writing a number that is greater than 1 but less than 10 with the power of 10.
Correct scientific notations express numbers as products of a number between 1 and 10 multiplied by an appropriate power of 10 based on its place value in the given decimal.
Thus, the total e-waste generated cannot be expressed in scientific notation as Options A, C, or D because these do not comply with the rules of scientific notations, unlike Option B.
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The equation for lines can be written as y=–10x+5/4. Parallel to line's is line t, which passes through the point (1,3). What is the equation of line t?
Step-by-step explanation:
what I understood :
line s : y = -10x + 5/4
the slope is always the factor of x (here : -10).
a parallel lines must have the same slope.
line t : y = -10x + b
to get b we use the coordinates of the given point :
3 = -10×1 + b = -10 + b
13 = b
line t : y = -10x + 13
Elena drank 3 liters of water yesterday. Jada drank 3/4 times as much
water as Elena. Lin drank twice as much water as Jada.
1. How much water did Jada drink?
2. How much water did Lin drink?
liters
liters