Answers
[tex]\left(3\cdot8\cdot x\right)^7\\\\\left(3\cdot2\cdot4\cdot x\right)^7\\\\\left((3\cdot2)\cdot4\cdot x\right)^7\\\\\left(6\cdot4\cdot x\right)^7\\\\6^7\cdot4^7\cdot x^7\\\\[/tex]
In the second step, I rewrote 8 as 2*4. Then after that I regrouped terms so that the (3*2) can pair up together. This of course turns into 6. After that point, we have 6, 4 and x multiplied together as the base.
The last step uses the rule that [tex](a*b*c)^d = a^d*b^d*c^d[/tex], in other words, we apply the exponent d to each term inside the parenthesis. Each term inside gets its own exponent.
An example: [tex](2*4*6)^3 = 2^3*4^3*6^3[/tex]
Related Questions
Nat has 2 episodes filmed for her new series. She plans
on filming 6 more episodes per month. Write a linear
equation that could represent this
Answers
2 being the episode’s she has already created
6m is 6 times any number of months (m)
What is 2 over 7 is greater than 4 over 12
Answers
The value 2 / 7 is greater than 4 / 12 is - 1 / 21
How to perform subtraction in algebra?To know the value 2/7 is greater by 4 / 12, we have to subtract 4 / 12 from 2 / 7 .
Therefore,
2 / 7 - 4 / 12 = 24 - 28/84
Therefore,
24 - 28/84 = - 4/ 84 = - 1 / 21
Therefore, it is greater by - 1 / 21
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MATH!!! 15 points;)) find the surface area of the pyramid
please answer correctly & check your work...
Answers
Answer:
20ft²
Step-by-step explanation:
Can anyone help solve this inequality (ps, also make sure to read the bottom)
Answers
Find the area of the rectangle by multiplying lxw.
14x18=252
Then find the area of the triangle
A=l x w/2
20-14=6
18-11=7
6 x 7 = 42
42/2=21
252+21=273
273/5 is about 54
He can fit 54 chickens.
20.
30a³-26a² - 36a + 8
(10a - 2)
i have to divide
Answers
Answer:
112.8
Step-by-step explanation:
Hope this help!!
How to remember nagative exponents how to solve nagative exponents
Answers
To solve the negative exponents , we have to apply the negative exponent rule or the fractional exponent rule.
How are negative exponent calculated?To calculate the negative exponent we need to remember about the negative exponent that the base is on the opposite side of the fraction. Here , We need to flip the fraction so that the base will be on the other side.
Negative exponent Rule :-
[tex]a^{-n} = \frac{1}{a^{n} }[/tex]
Now , we will solve a fraction with negative exponent
For example ; Simplify the fraction [tex]\frac{3^{-2} }{9^{-2} }[/tex]
Solution : [tex]\frac{3^{-2} }{9^{-2} } = \frac{9^{2} }{3^{2} }= \frac{81}{9}[/tex]
= 9
Here, 9 is the answer of the above example.
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Simplify: -4x542x5
Enter the original expression if it cannot be
simplified.
Enter the correct answer.
000
008
Clear all
+?
DONE
Answers
multiply left to right:
-4 x 542 = -2,168
-2,168 x 5 = -10,840
answer: -10,840
The simplified expression is -4x^(547).
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To simplify -4x^(542)x^5.
You can use the property of exponents that states that when you multiply two terms with the same base, you add their exponents.
So,
-4x^(542)x^5
= -4x^(542+5)
= -4x^(547)
Thus,
The simplified expression is -4x^(547).
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A 5-course banquet has 3 options for each course.
The number of possible 5-course meals is m.
Find the value of m.
Answers
Total courses =5
Each course has 3 options
5 courses has
5(3)15choicesHence
m=15Answer: m = 15
Explanation:
Each (1 course) has 3 options
By multiplication,
5 courses shall have: (5 × 3) = 15 choices
By addition,
Sum of choices for 5 courses: (5 + 5 + 5) = 15 choices
find the solution to x^2 = 24
please answer asap!!!
Answers
Answer:
[tex]C) ~x = \pm 2\sqrt 6[/tex]
Step-by-step explanation:
[tex]~~~~~~x^2 = 24\\\\\implies x = \pm\sqrt{24}\\\\\implies x = \pm\sqrt{4 \times 6}\\ \\\implies x = \pm 2\sqrt 6[/tex]
Answer:
C
Step-by-step explanation:
x² = 24 ( take square root of both sides )
x = ± [tex]\sqrt{24}[/tex] = ± [tex]\sqrt{4(6)}[/tex] = ± ( [tex]\sqrt{4}[/tex] × [tex]\sqrt{6}[/tex] ) = ± 2[tex]\sqrt{6}[/tex]
please help... Find the volume of pyramid that has a square base.
Answers
Answer:
V = 324 cm³
Step-by-step explanation:
the volume (V) of the pyramid is calculated as
V = [tex]\frac{1}{3}[/tex] Ah ( A is the area of the base and h the height )
here A = 9² = 81 cm² and h = 12 , then
V = [tex]\frac{1}{3}[/tex] × 81 × 12 = 27 × 12 = 324 cm³
Angle C and angle D are vertical angles. Angle C is 36 degrees. What is the measure of angle D?
Answers
Answer:
Angle D is 36 Degree!
Step-by-step explanation:
In vertical angle theorem, it stated that if two angles are vertical, then they are congruent to each other.
Answer:
d=144°
Step-by-step explanation:
Vertical angles add up to 180
c+d=180
36+d=180
d=180-36
d=144°
the roof of this garden shed has a gradient of 0.35. find the height of the shed
Answers
The height of the shed is 2.325 m
The complete question is
The roof of a lean-to-garden shed has a gradient of 0.35.find the height....they have given the base as 1.5m and a shorter height 1.8m its like a house
What is a right Triangle ?In a Triangle when one angle is 90 degree , the triangle is called Right Triangle .
Structure of the house is a right triangle with base = 1.5m
(height of that triangle)/1.5 = 35/100
height of that triangle = 1.5*0.35 = 0.5250
Ans: greater height of the lean-to = 1.8 + 0.5250 = 2.325 meters.
The height of the shed is 2.325 m.
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the largest of these five squares has side length 27 units, and each additional square's side length is 2/3 as large as the one before. What is the perimeter and area of the entire shape?
Answers
The total area is 1289.41 units².
The total perimeter is 281.32 units.
What is the total area and perimeter?The first step is to determine the side lengths of the other squares:
Length of the second square = 2/3 x 27 = 18 Length of the third square = 2/3 x18 = 12 Length of the fourth square = 2/3 x 12 = 8Length of the fifth square = 2/3 x 8 = 5.33Area of a square = length²
Perimeter of a square = 4 x length
Area of the first square = 27² = 729 Area of the second square = 18² = 324Area of the first square = 12² = 144 Area of the first square = 8² = 64Area of the first square = 5.33² = 28.41Total area = sum of the areas of the 5 squares = 1289.41 units²
Perimeter of the first square = 4 x 27 = 108 unitsPerimeter of the second square = 4 x 18 = 72Perimeter of the third square = 4 x 12 = 48 Perimeter of the fourth square = 4 x 8 = 32 Perimeter of the fifth square = 4 x 5.33 = 21.32Total perimeter = 281.32 units
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Answer:
PERIMETER: 584/3, AREA: 11605/9
Step-by-step explanation:
PERIMETER: The side lengths form a geometric series with a = 27, and r = 2/3. Along the bottom we see all five lengths, and those same lengths are seen along the top. The sum of these lengths is 27+18+12+8+16/3=211/3.
We can also calculate this as the sum of the geometric series:
27 (1 - (2 / 3) ^ 5)/ 1 - (2 / 3) = 27(1 - 32 / 243)/ (1 / 3) = 81 x 211/243 = 211/3
We see these lengths twice, once along the bottom and once as horizontal segments on the top. We also add the left side of 27. The vertical segments on the right must also have a total length of 27, since they cover the same ground as the left side.
The total perimeter: 2 x 211/3 + 2 x 27 = 584/3
AREA: 27^2 + 18^2 + 12^2 + 8^2 + (16/3)^2 = 11605/9
If α and β are the zeros of the quadratic polynomial f(x) = 6x²+x-2, then the value of
1. α²+β²
2. 1/α+1/β
Can Someone Answer This Quick Thank You<3
Answers
Answer:
1. α²+β² = 25/36
2. 1/α+1/β = 1/2
Step-by-step explanation:
Formula :
Consider the quadratic equation ax² + bx + c = 0
Where x₁ and x₂ are the zeros of the equation.
Then
[tex]x_{1}+x_{2}=-\frac{b}{a} \\x_{1}\times x_{2}=\frac{c}{a}[/tex]
……………………………………
α and β are the zeros of the quadratic polynomial f(x) = 6x²+x-2
Then
[tex]\alpha +\beta =-\frac{1}{6}[/tex]
[tex]\alpha \times \beta =-\frac{1}{3}[/tex]
……………………
[tex]\alpha^{2} +\beta^{2} =\left( \alpha +\beta \right)^{2} -2\alpha \beta[/tex]
[tex]=\alpha^{2} +\beta^{2} =\left( -\frac{1}{6} \right)^{2} -2\times(-\frac{1}{3} )[/tex]
[tex]=\frac{25}{36}[/tex]
………………………………
[tex]\frac{1}{\alpha } +\frac{1}{\beta } =\frac{\alpha +\beta }{\alpha \beta }[/tex]
[tex]=\frac{-\frac{1}{6} }{-\frac{1}{3} } =\frac{1}{2}[/tex]
Im Not Understanding!
Answers
There are 9, 1/2’s in the equation, since 3/2 + 3/2 + 3/2 = 9/2.
So you would put 9 in the box, since you’re multiplying the numerator.
Hope this helps!
Answer:
3/2 + 3/2 + 3/2 = 3/1
so 3 over 1 times 1 over 2
There is a bag filled with 6 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting at least 1 blue?
Answers
Answer:
What you need to remember for answering this question is that the probability of any event is the number of sample points in the event divided by the number of sample points in the sample space.
If you have multiple trials and if the sampling is with replacement then, no matter how many samples are drawn, the probabilities remain the same for each trial.
What is the circumference of a circle with a diameter of 7 feet? Use 3.14 for
TT.
d=7 ft
Answers
Answer:
21.99
Step-by-step explanation:
anna, becky, christina, debbie, and esther are the five candidates for student representative for the school board. two students will be selected, and they will alternate attending the school board meetings. all five students are equally well qualified, so the school superintendent decides to draw names at random. what is the probability he will choose debbie and esther as the two representatives? enter your answer as a fraction in simplest terms.
Answers
Probability that he will choose debbie and esther as the two representatives is 1/20 .
What is the meaning of Probability ?Probability is the stream in mathematics in which likeliness of an event to happen is studied.
The range of probability lies between 0 to 1 , where 0 indicates uncertainty and 1 indicates certainty.
It is given that anna, becky, christina, debbie, and esther are the five candidates for student representative for the school board.
two students will be selected, and they will alternate attending the school board meetings.
all five students are equally well qualified, so the school superintendent decides to draw names at random.
probability he will choose debbie and esther as the two representatives = ?
Probability of chosing debbie is 1/5
Probability of choosing Esther is also 1/5
Either of them if chosen first the probability is 1/5
and the either of them chosen second the probability is 1/4
Probability that he will choose debbie and esther as the two representatives = (1/5)*(1/4) = 1/20 .
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rewrite √32/8 into simplified radical form
Answers
Factor out the largest perfect square of 32.
( in this example we factored out 16 )
Rewrite
____
/16⋅2
as the product of two radicals.
The square root of 16 is 4.
Divide numerator and denominator by 4.
which graph shows that Cindy reads about 3/4 of the time while riding in the car?
Answers
The graph that shows a unit rate of 3/4, which is the time Cindy reads while riding in the car is the graph attached below.
What is Unit Rate?Unit rate can be described as a constant or exactly how much of one quantity is per 1 unit of another quantity.
Unite rate (k) = x/y.
In the graph attached below, when x (hours driving) = 3, y (hours reading) = 4.
Therefore, unit rate = 3/4. We can then conclude that the graph that shows that Cindy reads 3/4 of the time she rides in a car is the graph attached below.
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can someone please give ,e a good explanation of associative property and examples please
Answers
Answer:
See below
Step-by-step explanation:
Basically, the associative property states that when an expression has three terms, they can be grouped in any way to solve that expression.
For example, [tex](8*4)*5=8*(4*5)[/tex] if you're doing multiplication, or [tex](8+4)+5=8+(4+5)[/tex], if you're doing addition.
Which statements are true?
Select each correct answer.
All rhombuses are rectangles.
All parallelograms are quadrilaterals.
All rectangles are squares.
All squares are rhombuses.
Answers
Answer:
OTHER ANSWER IS WRONG
Step-by-step explanation:
B. All parallelograms are quadrilaterals.
D. All squares are rhombuses.
What is the hardest math eqaution you can find that is impossible but is not super long and is typeable? (Giving 100 points)
Answers
Solve It... Brainlist Too Pls For I Can Get To Next Level
I Have Stumbled Across This, Lol
One marble is randomly drawn and then replaced from a jar containing two white marbles and one
black marble. A second marble is drawn. What is the probability of drawing a white and then a
black?
Answers
Answer:
1/3.
Step-by-step explanation:
Prob(Drawing white marble) = 2/3
Prob(Drawing a black marble on second draw ) = 1/2
So:
Prob(Drawing a white then a red marble) = 2/3 * 1/2
= 2/6
= 1/3.
what is the measure of angle f
Answers
Answer:
What is the context, at least give a figure
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Answers
Answer:
20cm²
Step-by-step explanation:
We can solve this by dividing the volume of the cuboid by the height of the cuboid. The formula for the volume of a cuboid is Length * Width * Height, so dividing the volume will leave us with the Length * Width, which is also the area of the shaded face.
100cm³/5cm = 20cm²
The area of the shaded face is 20cm².
Step-by-step explanation:
We can solve this by dividing the volume of the cuboid by the height of the cuboid. The formula for the volume of a cuboid is Length * Width * Height, so dividing the volume will leave us with the Length * Width, which is also the area of the shaded face.
100cm³/5cm = 20cm²
The area of the shaded face is 20cm².
Bryannasalaz
22. Solve 7x - 9 = 28+ 4(x - 1).
X=-3
X=3
x = 11
X=-11
Answers
Answer:
[tex]x = 11[/tex]
Step-by-step explanation:
[tex]7x - 9 = 28 + 4(x - 1) \\ 7x - 9 = 28 + 4x - 4 \\ 7x - 4x = 28 - 4 + 9 \\ 3x = 33 \\ \\ x = \frac{33}{3} \\ \\ x = 11[/tex]
Answer:
c) x = 11
Step-by-step explanation:
Given equation: 7x - 9 = 28 + 4(x - 1)
Steps:
1. Distribute 4 through the parentheses:
7x - 9 = 28 + 4(x) + 4(-1)
7x - 9 = 28 + 4x - 4 [simplify]
7x - 9 = 24 + 4x
2. Subtract 4x from both sides:
7x - 4x - 9 = 24 + 4x - 4x
3x - 9 = 24
3. Add 9 to both sides:
3x - 9 + 9 = 24 + 9
3x = 33
4. Divide both sides by 3:
3x ÷ 3 = 33 ÷ 3
x = 11
5. Check your work:
7x - 9 = 28 + 4(x - 1) [substitute 11 for x]
7(11) - 9 = 28 + 4(11 - 1) [simplify]
77 - 9 = 28 + 4(10) [simplify]
68 = 28 + 40 [add]
68 = 68 ✔
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A macaroni and cheese recipe calls for 2/3 of a 2 1/2 pound block of cheese. How many pounds are needed?
Answers
Answer:
4/6
Step-by-step explanation:
if the pas is a dozen brownies
1/2 of a pan is 6 2/3 of 6 would be 4/6
rewrite each expression using the distributive property 5x2+35x
Answers
Answer:
Common factor
5x^{2}+35x
5(x^{2}+7x)
2
Rewrite in factored form
5(x^{2}+7x)
5x(x+7)
Solution
5x(x+7)
Step-by-step explanation:
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A money market account is a collection of stock and bonds true or false
Answers
Answer:
A money market fund is a type of mutual fund that invests in high-quality, short-term debt instruments and cash equivalents.