Answer:
(7x +6y)(49x^2 -42xy +36y^2)
Step-by-step explanation:
The factoring of the sum of cubes is a special form:
a³ +b³ = (a +b)(a² -ab +b²)
We recognize the given expression as a sum of cubes, so we can use this pattern to factor it.
Identifying the cubesFrom our memory of the cubes of small numbers (or from the cube root function of our calculator), we can identify the terms as ...
343x³ +216y³ = (7x)³ +(6y)³
ApplicationOur factoring pattern above can be used with ...
a = 7xb = 6ySubstituting these values, we have ...
343x³ +216y³ = (7x)³ +(6y)³ = (7x +6y)((7x)² -(7x)(6y) +(6y)²)
343x³ +216y³ = (7x +6y)(49x² -42xy +36y²)
A shipping container is in the shape of a right rectangular prism with a length of 13 feet, a width of 4.5 feet, and a height of 6 feet. The container is completely filled with contents that weigh, on average, 0.78 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?
Answer:
The volume of the right rectangular prism is 12* 8.5 * 4 = 408 content density is 0.25 pounds
Step-by-step explanation:
May invested $500 at 8% p.a. for 2 years. How much simple interest did she earn?
Answer:
The simple interest she earns is $80
p=500
r=8
t=2
Now,
SI=p×t×r/100
SI=500×2×8/100
SI=80
Answer:
[tex]\fbox{\begin{minipage}{5.5em}80 dollars\end{minipage}}[/tex]
Step-by-step explanation:
Given:
May invested $500 at 8% p.a. for 2 years.
Solve for:
The simple interest she earned.
Step 1: Define the formula to calculated the simple interest
Interest = Principal x Rate x Year
Step 2: Perform the calculation
With Principal = 500$, Rate = 8% = 8/100 = 0.08, and Year = 2
Interest = 500 x 0.08 x 2 = 80$
Hope this helps!
:)
What is m∠D? Enter your answer in the box.
Answer:
D = 32
Step-by-step explanation:
A+ B + E = 180 since they form a triangle
14+ 45 + E = 180
E = 180 -14-45
E =121
E on either triangle is the same since they are vertical angles
C+D+E = 180 since they form a triangle
27+ D + 121 = 180
D = 180-121-27
D =32
A certain bag of potting soil is 1/4 peat moss, and the rest is dirt. What part is dirt?
1/4
А
B
3/8
3/4
D
7/8
E
1-1/4
Answer:
[tex]D = 1 - \frac{1}{4}[/tex]
[tex]D = \frac{3}{4}[/tex]
Step-by-step explanation:
Given:
1 bag of potting soil
[tex]Peat Moss = \frac{1}{4}[/tex]
Required
What part is dirt?
The whole bag of potting soil is represented as 1;
Let P represent Peat Moss and D represented Dirt; Such that
[tex]P + D = 1[/tex]
Subtract P from both sides
[tex]P - P + D = 1 - P[/tex]
[tex]D = 1 - P[/tex]
Substitute [tex]\frac{1}{4}[/tex] for P
[tex]D = 1 - \frac{1}{4}[/tex]
Take LCM
[tex]D = \frac{4-1}{4}[/tex]
[tex]D = \frac{3}{4}[/tex]
Hence, [tex]1 - \frac{1}{4}[/tex] or [tex]\frac{3}{4}[/tex] of the potting soil is Dirt
the diagram shows the diiferance between my home h and two towns
Answer:
a. 20 mins
b. 30 mins
c. 4mph
Answer:
a)30
b)40
c)36
Step-by-step explanation:
Line d is parallel to line c in the figure below. Parallel lines d and c are intersected by lines q and p to form 2 triangles. At lines d and p, the angle is 2, at d and q, the angle is 1, and at q and p the angle is 3. At lines c and q, the angle is 4, at p and c, the angle is 5, and the third angle is 6. Which statements about the figure are true? Select three options. Vertical angles prove that Angle 2 is congruent to angle 5. In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles. Vertical angles prove that Angle 3 is congruent to angle 6. The triangles are similar because alternate interior angles are congruent. In the two similar triangles, Angle 2 and Angle 4 are corresponding angles. The triangles are similar because corresponding sides are congruent.
Answer:
Its the 2nd, 3rd, and 4th answer.
Step-by-step explanation:
i figured it out cause i did somehow
Answer:
it is 2 3 and 4 on edge 2021
Step-by-step explanation:
have a good day because i said so but mostly because you want to....ok bye love you
Please please, I need help with this question ASAP.....
We want to compare averages. From the histogram we have we don't know the exact mean, but if we just assume the average in each bin is the midpoint of the bin we can make an estimate.
Supplier A has
mean = ( 22(64) + 27(66) + 26(68) + 15(70) + 10(72) )/(22+27+26+15+10)
mean = 6728/100 = 67.28 grams
Supplier B has mean 66.5
Answer: Choose Supplier A
(work shown above)
help if you can I'm struggling with this i only get half of it right
Answer:
Does order matter? No.
There are 4 items. He will choose 3.
This is a combination because order does not matter. (I need the options for the blank part)
The completed formula is 4C3=4×3×2=24
The probability that Simon will choose the 3 coins that equal $0.40 is 5/6. (Enter your answer as a reduced fraction using / for the fraction bar.
furniture maker used 1/2 of a can of paint to paint some chairs. She used 1/6 of a can of paint for each chair. How many chairs did she paint?
Answer:
3 chairs
Step-by-step explanation:
1/2 is the same as 3/6
There are three 1/6 in 3/6.
(3/6) ÷ (1/6) = 3
The requried, she painted 3 chairs as of the given proportion.
What is proportionality?Proportionality is the relationship between two or more sets of values, and it describes how these values are related to each other.
Here,
Let's assume that the number of chairs she painted is represented by the variable 'c'.
We know that she used 1/6 of a can of paint for each chair. So, the total amount of paint used for all the chairs can be expressed as:
1/6 x c = c/6
We also know that she used 1/2 of a can of paint in total. So we can set up the equation:
c/6 = 1/2
To solve for 'c', we can multiply both sides of the equation by 6:
c = 3
Therefore, she painted 3 chairs.
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ivan and polina have each drawn a conclusion about multiplying negative fractions. Ivan: The products of an even number of negative fractions is always positive. Polina : the product of an odd number of negative fractions is always negative.
Answer:
Both are correct
-1 x -1 = 1
-1 x -1 x -1 = -1
Hope this helps
Step-by-step explanation:
Answer:
Both Ivan and Polina.
Step-by-step explanation:
[tex]-2/1 \times -2/1=4[/tex]
[tex]-3/1 \times -3/1 \times -3/1=-27[/tex]
If it is on sale for 20% OFF and the sale price is $68; what was the original price?
Answer:
85
Step-by-step explanation:
The discount is original price times the percent off
The sale price is the original price minus the discount
original price - original price * 20 % = 68
Factor out the original price and change the percent to a decimal
original price ( 1 - .20) = 68
original price ( .80) = 68
Divide each side by .80
original price = 68/.80
original price = 85
Answer:
$13.60
Step-by-step explanation:
($68 x 20%) / 100
1360 / 100 = 13.6
F(x)=x^2 What is g(x)?
Answer:
answer is D
Step-by-step explanation:
Which number produces an irrational number when multiplied by 0.4?
Answer:
B unless it isnt
Step-by-step explanation:
B- some long decimal
(It’s pi. I hate pi.)
8. A candle is 4 inches tall and burns at the rate of 0.6 inch per hour. If the height of the candle after x hours is 1.5 inches,
write an equation to represent the situation. Then use this equation to find the expected number of hours in which the candle
melted to 1.5 inches.
Answer:
x-.6=1.5
Step-by-step explanation:
4-1.5=2.5 2.5/.6 is approximately 4
help me with this please
Choose the correct algebraic expression: two plus the product of six and a number
A. 2+6+n
B. 2+6n
C. 2(6n)
D. 2(6+n)
The expression for the statement given can be written as 2 + 6n. The correct option is (B).
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
Suppose the required number be n.
Then, the expression for the statement can be written as follows,
Add 2 to the product of n and 6 to obtain,
2 + 6n
Hence, the required expression is given as 2 + 6n.
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Which statement is true about the end behavior of the
graphed function?
A: As the x-values go to positive infinity, the function's
values go to negative infinity.
B: As the x-values go to zero, the function's values go to
positive infinity
C: As the x-values go to negative infinity, the function's
values are equal to zero.
D: As the x-values go to positive infinity, the function's
values go to positive infinity.
Answer:
Option A.
Step-by-step explanation:
Let the given graph represent the function f(x).
From the given that given graph it is clear that the end behavior of the function f(x):
1. As the x-values go to positive infinity, the function's values go to negative infinity.
[tex]\lim\limits_{x\to \infty}f(x)=-\infty[/tex]
2. As the x-values go to negative infinity, the function's values go to positive infinity.
[tex]\lim\limits_{x\to -\infty}f(x)=\infty[/tex]
Therefore, the correct option is A.
HELPPPPPP PLEASEEEEE I HAVE 50 min left
Answer:
A
Step-by-step explanation:
Solving for 1995, which is 5 years after 1990, so plug in 5 as t.
n= 1.76(5)² - 13.32(5) + 41
n= 44 - 66.6 + 41
n= 18.4
n≈ 18 days
if a new car is valued at $23,600 and 6 years later it is valued at $8000, then what is the average rate of change of its value during those 6 years?
do supplementary angles form right angles? yes or no
Answer:
Yes i
Step-by-step explanation:
A supplementary angle can be two angles that sum up to 180 if you want you can have 2 angles that are 90 degrees that add up to 180 so therefore that would make a right angle.
A worker bee has a mass of 1*10^-4. There are 4*10^4 worker bees living in one hive. What is the mass of all the worker bees in the hive together? Write your answer in scientific notation.
Answer:
[tex]4[/tex]
Step-by-step explanation:
[tex]1 \times 10^{-4} \times 4 \times 10^{4}[/tex]
[tex]4 \times 1 \times 10^{-4} \times 10^{4}[/tex]
[tex]4 \times 10^{-4+4}[/tex]
[tex]4 \times 10^{0}[/tex]
[tex]4[/tex]
Answer:
4 x 10^0
Step-by-step explanation: That is the correct answer on khan academy
If p ⊥ q, which of the following statements is true for the given figure? answers: A) ∠1 ≅ ∠3 B) ∠1 + ∠2 ≅ ∠3 + ∠4 C) ∠1 + ∠3 ≅ ∠2 + ∠4 D) ∠1 + ∠4 ≅ ∠2 + ∠3
Answer:
B
Step-by-step explanation: The givens are that line p is perpendicular to line q, so you know that angle 1 + angle 2 = 90 and angle 3 + angle 4 are 90 degrees. You can not tell by looking at the picture any other information, so you can only tell that angle 1 + angle 2 is congruent to angle 3 + angle 4.
Answer:
B is the right answer
Step-by-step explanation:
Leah drives her truck 270KM in the same time Deborah drives her car 250KM. If Leah drives 4km/h faster than Deborah. What is each of their driving speeds?
Answer:
Leah: 54km/h
Deborah: 50 km/h
Step-by-step explanation:
250+4x=270
4x=20
x=5
both drove 5 hours
Deborah:
250/5=50km/h
Leah:
270/5=54km/h
Find the exact solution of the equation 7^x=8
Answer:
exact form:in(8)/in(7) decimal form: x
=
1.06862156
Step-by-step explanation:
The point (2,–5), when reflected across the origin, maps onto the point _______. answers : (–5,2) (5,–2) (–2,5) (2,5)
The points (2, -5) when reflected across the origin becomes (-2, 5)
What is reflection?Reflection is a mathematical transformation of a shape by moving the vertices of the shape a distance equal to the distance between the line of reflection and the original point.
Other types of transformational processes are: Rotation and translation.
Analysis:
In transformation in the origin, the line of reflection is x = 0 and y = 0.
Which means both coordinates of the point would be changed.
At x = 2, 2 is 2 units from the origin. The only point which is 2 units away from the origin in the opposite side is -2.
Also at x = -5, that is 5 units away from the origin. The only point 5 units away from the origin is 5. so the new coordinate is 5.
In conclusion, the new point after reflection would be (-2, 5)
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Evaluate 5 ÷ 4/6 Give your answer as a mixed number in its simplest form.
Answer:
7 1/2
Step-by-step explanation:
5 ÷ 4/6 = 5 ÷ 2/3 = 5 × 3/2= 15/2= 7 1/2
Which number produces a rational number when added to 1/3
Answer:
[tex]0.22[/tex]
Step-by-step explanation:
[tex]0.22 =22/100[/tex]
0.22 can be expressed as a fraction. Therefore, it is a rational number.
1/3 is a raional number.
[tex]1/3+22/100=83/150[/tex]
To produce a rational number we add 0.22 to 1/3. So, option C. is the right option.
What are rational and irrational numbers?A rational number is any number of the form p/q, where p, q ∈ Z, q ≠ 0, and p and q have no common factors except 1.
Any number which cannot be expressed in the above form is called an irrational number.
How do we solve the given question?In the question, we are asked to find the number from the given choices, which when added to 1/3, produces a rational number.
We know that adding an irrational number to any number gives an irrational number only. So we simply need to check for the rational number among the given options. Analyzing the options:
A. π: It is an irrational number as it cannot be expressed in the required form of p/q for being a rational number. (We sometimes take π = 22/7 which is a rational form, but it is not the actual value of π).B. 5.38516480...: It is an irrational number as it cannot be expressed in the required form of p/q for being a rational number.C. 0.22: It is a rational number as it can be written as 11/50, the required p/q form for being a rational number.D. √10: It is an irrational number as it cannot be expressed in the required form of p/q for being a rational number.∴ We will add 0.22 to 1/3, to produce a rational number. Option C. is the right choice.
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PLEASE HELP ME !!!!!!!!!!
Answer:
x=139
Step-by-step explanation:
since a straight line is equal to 180 degrees line LN is 180 degrees therefore to figure x you must subtract 41 from 180 to get 139 hope this helps! :)
Answer:
z = 139°
Step-by-step explanation:
LON is a straight angle (an angle with 180°). You can tell just by looking at it.
41° is a supplement (meaning it adds up to 180°) of z.
From there you can just do
180° - 41° = 139°
z° = 139°
hope this help brainliest is always cool
Find the domain and range of the function:
f(x) =5-x-3 to the square root
Domain:
Range:
Domain: x ≤ 5
Range: y ≤ -3
What do you mean by Square roots?
The square root of a number is an element that can replicate itself to find that number. The square root symbol is \ sqrt {} square root of, end square root. Finding the square root of a number is the opposite of multiplying a number.
Is √ it a square number?The square root of a number is a number that, when multiplied by itself, is equal to the required value. So, for example, the square root of 49 is 7 (7x7 = 49). The process of multiplying a number itself is called squaring.
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What is the area of a rectangle that has a length of 16.17 and a width of
8.75? DO NOT ROUND. *
Answer:
A =141.4875
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
A = 16.17 * 8.75
A =141.4875