simplify
can u plz help me on this its a math question !!!!!
theres an image below!!!
Answers
_________________________________________________________
Explanation:
_________________________________________________________
We are asked to simplify:
→ [tex] (\frac{2}{9})^3 [/tex]
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Note the following property of exponents:
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[tex]( \frac{a}{b})^n [/tex] = [tex] \frac{(a^n)}{(b^n)} [/tex] ; { b [tex] \neq [/tex]0 } .
_________________________________________________________
As such:
→ [tex]( \frac{2}{9})^3 [/tex] ;
=[tex]\frac{2^3}{9^3}[/tex] = [tex] \frac{(2*2*2)}{(9*9*9)}[/tex] = [tex] \frac{8}{729} [/tex] .
_____________________________________________________________
The answer is: " [tex] \frac{8}{729} [/tex] " ;
→ which is: "Answer choice: [A]: " [tex] \frac{8}{729} [/tex] " .
_____________________________________________________________
Hope this answer—and explanation—is of some help to you.
Please comment below or otherwise respond to me if you have any questions or if I can be of further assistance.
Best wishes!
Answer:
6
----------- 6 over 729
729
Step-by-step explanation:
2/9 * 2/9 * 2/9
Related Questions
If you need 2 tablespoons for every 5 quarts how many would you need for 4 quarts
Answers
Area is the distance around a shape while perimeter is the space within a shape.
a) true
b) false
Answers
but if it is wrong im sorry
therefore it is false.
Determine if the statement is always, sometimes, or never true: A scalene triangle is an acute triangle.
Answers
Answer:
it is true
Step-by-step explanation:
TON OF FREE POINTS FOR THE SMARTEST FINANCE PERSON! EASY PEASY, JUST NEED HELP TO DO IT THE RIGHT WAY ASAP!!! WHO SHALL WIN? Do not answer incorrectly or to get free points please, or you will be reported, and not smart.
David buys a home for $278,640. His home is predicted to increase in value 4% each year. What is the predicted value of David's home in 18 years? Round your answer to the nearest dollar.
Options:
$542,638
$564,474
$576,284
$580,122
Thanks in advance, you guys truly rock.
Answers
[tex]P(t) = A * r^{t} [/tex]
Where: t ⇒ time , A ⇒ initial amount , r ⇒ rate of increase
P(t) ⇒ predicted amount at the end of t.
For the given problem:
initial amount = A = $278,640
predicted increase in value per year = 4% =0.04
∴ r = 1 + 0.04 = 1.04
for t = 18 years
∴ [tex]P(t) = A * r^{t} =278,640 * 1.04^{18}=\framebox{564,473.5}[/tex]
Rounding to the nearest dollar ⇒ ∴ P(t) = 564,474
So, the predicted value of David's home in 18 years = $564,474
So, The correct option is $564,474
564474 is the correct answer
Hope this helps...
according to the model which of the following temperatures to the nearest tenth of a degree would make the ice cream shop have a positive profit?
Answers
A. c = 17.6(17.6) -721.6 = -411.84
B. c = 17.6(35.2) - 721.6 = -102.08
C. c = 17.6(41.0) - 721.6 = 0
D. c= 17.6(72.2) - 721.6 = 549.12
the only one with a positive answer is D
What is the sector with a central angle of 185 degrees and a diameter of 6.4 m? Round to the nearest tenth.
66.1m^2
5.3m^2
16.5m^2
21.0m^2
Answers
[tex]A=\frac{1}{2}r^2\theta =\frac{1}{2}\left(3.2\:m\right)^2\left(185\cdot \frac{\pi }{180}\right)=16.5\:m^2[/tex]
The answer is 16.5 square meters.
Geometry B Unit 5: Area - Lesson 10: Area Unit Test
1. What is the area of the trapezoid? The diagram is not drawn to scale.
72 cm^2
2. Given the regular polygon, what is the measure of each numbered angle?
m∡1 = 36°; m∡2 = 72°
3. What are a) the ratio of the perimeters and b) the ratio of the areas of the larger figure to the smaller figure? The figures are not drawn to scale.
5/2 and 25/4
4. What is the area of a regular pentagon with a side of 12 in.? Round the answer to the nearest tenth.
247.7 in.2
5. Name the minor arc and find its measure.
AB; 162°
6. What is the circumference of the given circle in terms of pi_symbol?
28pi in.
7. What is the area of the given circle in terms of pi?
10.89pi m^2
8. What is the area of a sector with a central angle of 185° and a diameter of 6.4 m? Round the answer to the nearest tenth.
16.5 m^2
9. What is the area of the shaded region in the given circle in terms of pi_symbol and in simplest form?
(270 pi + 81 Root 3) m^2
What is the measure of ∠P ? Round your answer to the nearest degree.
A.) 29°
B.) 42°
C.) 65°
D.) 78°
Answers
Answer:
B. [tex]42^{\circ}[/tex]
Step-by-step explanation:
We have been given an image of a triangle. We are asked to find the measure of angle P.
We will use law of sines to solve for angle P.
[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex], where a, b and c are the sides corresponding to the angles A, B and C.
Upon substituting our given values we will get,
[tex]\frac{sin(P)}{QR}=\frac{sin(Q)}{PR}[/tex]
[tex]\frac{sin(P)}{47.6}=\frac{sin(73^{\circ})}{68}[/tex]
[tex]\frac{sin(P)}{47.6}=\frac{0.956304755963}{68}[/tex]
[tex]\frac{sin(P)}{47.6}=0.01406330523475[/tex]
[tex]\frac{sin(P)}{47.6}\times 47.6=0.01406330523475\times 47.6[/tex]
[tex]sin(P)=0.6694133291741[/tex]
Now we will use arcsin to find the measure of angle P.
[tex]P=sin^{-1}(0.6694133291741)[/tex]
[tex]P=42.021801403079^{\circ}\approx 42^{\circ}[/tex]
Therefore, the measure of angle P is 42 degrees and option B is the correct choice.
Michelle can fold 4 baskets of clothes in 54 minutes, while Ruby can fold 4 baskets of clothes in 108 minutes. How long will it take them to fold 8 baskets of clothes if they are working together?
Answers
Ruby can fold 4/108 baskets per minute.
Each minute Michelle and Ruby work together, they can fold
8/108 +4/108 = 12/108 = 1/9
of a basket of clothes. For 8 baskets of clothes, it will take them
(8 baskets)/(1/9 baskets/minute) = 72 minutes
Working together, they fold (8) baskets in (72) minutes, averaging
[tex]\(\frac{1}{9}\)[/tex] of a basket per minute combined.
First, let's find out how many baskets of clothes each person can fold per minute.
Michelle can fold [tex]\( \frac{4}{54} \)[/tex] baskets per minute, and Ruby can fold [tex]\( \frac{4}{108} \)[/tex] baskets per minute.
Let's simplify these fractions:
Michelle's rate: [tex]\( \frac{4}{54} = \frac{2}{27} \)[/tex] baskets per minute.
Ruby's rate[tex]: \( \frac{4}{108} = \frac{1}{27} \)[/tex] baskets per minute.
Now, when they work together, their combined rate will be the sum of their individual rates:
Combined rate = Michelle's rate + Ruby's rate
Combined rate = [tex]\( \frac{2}{27} + \frac{1}{27} \)[/tex] baskets per minute
Combined rate = [tex]\( \frac{3}{27} \)[/tex] baskets per minute
Combined rate = [tex]\( \frac{1}{9} \)[/tex] baskets per minute
Now, to find out how long it will take them to fold 8 baskets together, we can use the combined rate:
Let ( t) be the time it takes for them to fold 8 baskets together.
[tex]\( \frac{1}{9} \) baskets per minute * \( t \) minutes = 8 baskets\[ t = \frac{8}{\frac{1}{9}} \]\[ t = 8 \times 9 \]\[ t = 72 \] minutes[/tex]
So, it will take them 72 minutes to fold 8 baskets of clothes together.
what expression is equivalent to 20+8y-9y-21
Answers
The first step for solving this expression is to calculate the difference between 20 and -21.
-1 + 8y - 9y
Now collect the like terms for y by subtracting their coefficients.
(8 - 9)y
Subtract the numbers in the parenthesis.
-1y
When a term has a coefficient of -1,, the number doesn't have to written but the sign needs to remain. Knowing this,, our final answer will be the following:
-1 - y
Let me know if you have any further questions.
:)
Final answer:
The expression equivalent to 20+8y-9y-21 is simplified by combining like terms, resulting in -1y - 1 or simply -y - 1.
Explanation:
To find an expression that is equivalent to 20+8y-9y-21, we need to combine like terms. The terms 8y and -9y are like terms because they have the same variable raised to the same power. The terms 20 and -21 are also like terms because they are both constants.
Combine the like terms:
8y - 9y = -1y
20 - 21 = -1
Now, put the simplified terms together:
-1y - 1
Therefore, the expression that is equivalent to 20+8y-9y-21 is -1y - 1, which can also be written as -y - 1.
Determine whether the polynomial is a difference of squares and if it is, factor it. y2 – 16
Answers
(y – 4)(y + 4) it is a difference this is it. I did the test just a second ago.
The ratio between the volumes of two cubes is 125 to 216. what is the ratio between their respective surface areas?
Answers
So Volume = x³. So if we are given the volume, we can the length by doing the cube root.
∛125 = 5
∛216 = 6
Surface area of a cube = 6x². So now we plug both of these measurements into the formula.
For 5:
SA = 6(5)² = 6(25) = 150
For 6:
SA = 6(6)² = 6(36) = 216
The ratio of their surface areas is 150:216 or if you simplify it by dividing both by the GCF of 6, 25:36
Given a point and a plane, how do you find a line that is parallel to the plane that passes through the point?
Answers
M1=M2 only if the lines are parallel...
and then we should take one point from our line and solve the equation with the standard line formula.
Y=m(x-X1) +Y1
For the standard normal curve, find the z-score that corresponds to the 90th percentile.
Answers
Using a z-table(also attached) or a technology, we can solve that z=1.28.
If a pizza is sliced into 6 even slices, what is the angle of rotational symmetry?
Answers
A pizza is in the shape of a circle
A circle is 360° around
divide this by the amount of pieces
360 / 6 = 60
The answer is 60°
Hope this helps!
The angle of rotational symmetry of a pizza sliced into 6 even slices is 60 degrees, which is the angle required to rotate each slice to coincide with the next, demonstrating six-fold rotational symmetry.
Explanation:The angle of rotational symmetry for a pizza sliced into 6 even slices can be calculated based on the fact that a complete rotation is 360 degrees.
Since the pizza is divided into 6 slices, the angle to rotate each slice to coincide with the next is 360 degrees divided by 6.
Step-by-Step Explanation
Start with the full rotation angle, which is 360 degrees.Divide 360 by the number of slices, which is 6.The angle of rotational symmetry is therefore 360 ÷ 6 = 60 degrees.Each 60-degree turn will align the pizza with itself, showing that it has rotational symmetry at this angle.
Since the pizza can be rotated 6 times and each time result in the same shape positioned identically, it demonstrates six-fold rotational symmetry.
PLEASE HELP ME FAST I WILL GIVE BRAINLIEST TO BEST AND FASTEST ANSWER
Perform the indicated operation.
(6f 2 - 13 - 11f) ÷ (3f - 4)
2f + 1 R 17
2f - 1 R -17
2f - 1
If you would like please tell me what the R means
Answers
Answer: 2f - 1, remainder -17
Answer: 2f - 1, remainder -17
Step-by-step explanation:
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Please help asap xx
The picture below shows a container that Jeff uses to freeze water:
What is the minimum number of identical containers that Jeff would need to make 2000 cm3 of ice? (Use π = 3.14.)
A. 8
B. 4
C. 2
D. 16
Answers
The diameter is 8 and we'll reduce that to 4 so we can use [tex] \pi [/tex]R2.
3.14*16 is 50.24. Then we'll multiply that by the height which is 10 to get 502.4cm3.
Now we'll divide 2000/502.4 to see how many containers Jeff would need to make to make 2000 cm3 of ice.
This comes out to 3.98 but we can round it up to 4.
B. 4
(should I explain?)
Hey there!
We are looking for cm[tex]^{3}[/tex], so therefore we will be dealing with volume.
The formula for the volume of a cylinder is shown below.
V= h([tex]\pi[/tex]r²)
Our base has a diameter of 8. The radius is half of the diameter, so our radius is 4. Our height is also 10, so will plug that in for h.
We can plug our values into the equation.
V= 10([tex]\pi[/tex]4²)
V=10(16[tex]\pi[/tex])
We simplify further, using 3.14 for pi.
V=10(50.24)
V=502.4
Therefore, the volume of one cylinder is 502.4.
Now, we need to see how many of these cylinders we need to get 2,000 cm³ of ice. We will divide below.
2,000÷502.4≈3.98
Therefore, we cannot have 2 as it will not be enough. 3.98 is about 4, so that would be the best minimum amount.
Therefore, your answer would be B) 4.
I hope this helps!
Find the area of the shaded portion in the square.
(assuming the central point of each arc is the corresponding corner
Answers
Please, see the attached file.
Thanks.
If f(x)=2x and g(x)=x^{2}-1, which statement is true?
a) 2x^{2}-1
b) 2x(x^{2}-1)
c) 4x-1
d) 4x^{2}-1
Answers
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The age of a father is 2 less than 7 times the age of his son. In 3 years, the sum of their ages will be 52. If the son’s present age is s years, which equation models this situation?
Answers
Answer:
Son’s present age, s = 6 years.
Step-by-step explanation:
Let the son’s present age is s years and father's be f.
We have age of a father is 2 less than 7 times the age of his son.
f = 7s -2
7s - f = 2 -------------------eqn 1
In 3 years, the sum of their ages will be 52.
s + 3 + f + 3 = 52
s + f = 46 -------------------eqn 2
eqn 1 + eqn 2
8s = 48
s = 6
Son’s present age, s = 6 years.
Solve for x: x^2-36=0
Answers
Answer:
-6, 6
Step-by-step explanation:
Which of the following sequences of numbers are arithmetic sequences?
Check all that apply.
A.2, 4, 6, 8, 10, ...
B.1, 1, 1, 1, 1, ...
C.1, 2, 3, 5, 6, 7, ....
D.3.0, 3.1, 3.2, 3.3, 3.4, ...
E.2, -4, 6, -8, 10, ...
Answers
In the choices above, only A and D are arithmetic sequences.
In A, the common difference is 2 while in D, it's 0 .1.
B can't be an arithmetic sequence since the number 1 is just being repeated many times, there's no progression.
C as well. Be observant of the pattern, it can be an arithmetic sequence only if it has 4 before 5.
E obviously is not an arithmetic sequence. If you try to find the difference between the consecutive terms, it's not common.
The scatter plot shows the relationship between the number of hours spent jogging and the number of minutes spent stretching, by the students on a track team:
A scatter plot is shown titled fitness routine. The x-axis is labeled hours jogging and the y-axis is labeled minutes stretching. Data points are located at 0 and 1, 2 and 1, 2 and 2, 4 and 3, 4 and 5, 6 and 3, 7 and 5, 9 and 4. A line connects the points 0 comma 1 and 10 comma 6.
What is the y-intercept of the line of best fit and what does it represent? (4 points)
1 minute; the number of minutes students stretch when they do not jog
1 hour; the number of hours students jog when they do not stretch
4 hours; the number of hours students jog when they do not stretch
4 minutes; the number of minutes students stretch when they do not jog
4.
(06.04)
The line of best fit for a scatter plot is shown:
A scatter plot and line of best fit are shown. Data points are located at 0 and 1, 2 and 1, 2 and 3, 4 and 3, 4 and 5, 6 and 3, 7 and 5, 9 and 4. A line of best fit passes through the y-axis at 1 and through the point 4 and 3.
What is the equation of this line of best fit in slope-intercept form? (4 points)
y = 1x + one half
y = one halfx + 1
y = 1x − one half
y = negative one halfx + 1
5.
(06.04)
The graph shows the number of cakes sold at Karen's Cake Shoppe for each of their 7 weeks in business:
A scatter plot is shown with the title Karens Cake Shoppe. The x axis is labeled Weeks in Business, and the y axis is labeled cakes sold. The data points are located at 1 and 2, 2 and 4, 3 and 5, 4 and 4, 5 and 6, 6 and 5, and 7 and 8. A line of best fit passes through the y axis at 1 and through the point 10 and 10.
If her current pattern continues, how many cakes will Karen most likely sell in her 10th week of business? (4 points)
10, because approximately y = 9 over 10.x + 1
11, because approximately y = 9 over 10.x + 1
8, because approximately y = 1x − 1
12, because approximately y = 1x + 2
Answers
#4) y=1/2x + 1
#5) 10 cakes, because y=9/10x+1
Explanation
For the first question: The y-intercept is easily picked from the two points that define the line. (0, 1) would have to be on the y-axis, because when we plot it, the x-coordinate is 0. This means it is the y-intercept of the line.
#4) Finding the slope of the line, we use the formula
m=(y₂-y₁)/(x₂-x₁) = (3-1)/(4-0) = 2/4 = 1/2
The y-intercept is at (0, 1), using the same justification as the first question.
This gives us the equation y = 1/2x + 1.
#5) First we find the equation of the line. To do this, find the slope:
m=(y₂-y₁)/(x₂-x₁) = (10-1)/(10-0) = 9/10
The y-intercept is at (0, 1). This makes our equation y=9/10x + 1.
Using 10 as x (x represents the number of weeks) we have
y=9/10(10) + 1
y=9/10(10/1) + 1
y=90/10 + 1
y=9+1 = 10
The y-intercept in the first scenario represents the estimated stretching time if no jogging is done. In the second situation, the line of best fit equation shows that for each additional hour of jogging, an extra half minute of stretching is estimated. In the third scenario, Karen is predicted to sell about 12 cakes on her tenth week of operation.
The subject of this question is mathematics, specifically the concept of scatter plots and the line of best fit in linear regression. In the first scenario, the y-intercept of the line of best fit is 1 minute, which represents the estimated amount of time a student would spend stretching if they did not jog at all.
In the second scenario, the equation of the line of best fit is y = 0.5x + 1. This equation represents a relationship between the number of hours spent jogging (x) and the estimated minutes of stretching (y), where for every one extra hour of jogging, it is estimated that an additional half a minute is spent stretching.
Lastly, in the third scenario, using the line of best fit, Karen will likely sell approximately 12 cakes because the line of best fit is approximately y = 1x + 2, and substituting 10 for x (10th week), we get 12 (cakes).
Learn more about time here:
https://brainly.com/question/30132266
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A toy manufacturer makes a toy truck, a toy car, and a toy boat. The production spreadsheet is:
Toy Time to Produce Cost to Produce Profit for Each Truck 10 minutes $1.00 $1.00 Car 12 minutes $0.75 $1.50 Boat 8 minutes $0.80 $0.60
After accounting for breaks, a worker actually works 400 minutes each day. The manufacturer needs each worker to generate a potential profit of $35 each day. Write a system of inequalities that expresses these constraints.
Answers
The constraint for the time
[tex]10x+12y+8z\le 400[/tex]
The constraint for the profit
[tex]x+1.50y+0.6z\ge 35[/tex]
Answer:
[tex]\left\{\begin{array}{l}10x+12y+8z\le 400\\x+1.5y+0.6z\ge 35\end{array}\right.[/tex]
Step-by-step explanation:
Let x be the number of toy trucks, y be the number of toy cars and z be the number of toy boats a worker makes each day.
1. If a worker spends 10 minutes to make one toy truck, then he spends 10x minutes to make x toy trucks. If a worker spends 12 minutes to make one toy car, then he spends 12y minutes to make y toy cars. If a worker spends 8 minutes to make one toy boat, then he spends 8z minutes to make z toy boats. In total he can spend at most 400 minutes each day, then
[tex]10x+12y+8z\le 400.[/tex]
2. If a worker generates profit of $1.00 per one toy truck, then he generates profit of $x per x toy trucks. If a worker generates profit of $1.50 per one toy car, then he generates profit of $1.50y per y toy cars. If a worker generates profit of $0.60 per one toy boat, then he generates profit of $0.60z per z toy boats. The manufacturer needs each worker to generate a potential profit of $35 each day, then
[tex]x+1.5y+0.6z\ge 35.[/tex]
Thus, the system of two inequalities is
[tex]\left\{\begin{array}{l}10x+12y+8z\le 400\\x+1.5y+0.6z\ge 35\end{array}\right.[/tex]
The scores of several classmates on a language arts test are shown below: 86 points 87 points 87 points 94 points 95 points 82 points 78 points 89 points 80 points 84 points What is the median score for these students? 87.5 points 87 points 86.5 points 86 points
Answers
Answer:
Your answer would be 87.5
Step-by-step explanation:
The reason that I know is because 87 is the most used number in this situation which it then makes it 87.5.
Answer:
87.5 would be the correct answer!
Step-by-step explanation:
if you follow every set of points then the median would be 87.5
In 2011, the U.S. Centers for Control and Prevention (CDC) conducted a survey to track a wide variety of risky behavior by American youth. The following table summarizes the responses of 12^th grade males and females and their helmet wearing habits
Answers
Use a scientific calculator to find the logarithm for each number rounded ro four decimal places. Then state characteristic and the mantis.
12
A. 2.3855; -2 0.9564
B. 1.0793; 1; 0.0792
C. 0.5648; 0; 0.5648
D. -1.0458 -2; 0.0542
Answers
log 12 = 1.079181246
Rounded to four decimal places:
log 12 = 1.0792
Characteristic: 1; Mantis: 0.0792
Answer: OPtion B. 1.0792; 1; 0.0792
Find all the solutions of the equation in the interval 0 2pi) 2sin2x=2+cosx
Answers
2sin(x)^2 = 2 - 2cos(x)^2
2cos(x)^2 + cos(x) = 0
cos(x)(2cos(x) + 1) = 0
cos(x) = 0 or cos(x) = -1/2
x = π/2, 3π/2, 2π/3, 4π/3
The diameter of a circular table top is 2.6 metres. What is it’s circumference to the nearest metre?
Answers
To calculate the circumference, we use the formula [tex]C = \pi d[/tex]
Plug in the values.
[tex]C = \pi * 2.6[/tex]
[tex]8.2 = \pi * 2.6[/tex]
Your answer to the nearest meter is 8.
The circumference of a circular table top with a diameter of 2.6 meters is approximately 8 meters when using the formula C = \\πd and rounding to the nearest meter.
The question is asking for the circumference of a circular table top given its diameter. To calculate the circumference, we use the formula C = \\(π)d, where d is the diameter. The diameter given is 2.6 meters, so the circumference C = \\(pi)(2.6 meters).
Using the approximation \\(π \\approx 3.14, we calculate C \\approx 3.14 \\times 2.6 = 8.164 meters. When rounding this to the nearest meter, we obtain 8 meters as the circumference of the table top.
Select the factors of x2 − 14x + 49.
(x + 49)(x + 1)
(x + 7)(x + 7)
(x − 7)(x − 7)
(x − 49)(x − 1)
Answers
Other method:
[tex]x^2-14x+49=x^2-2\cdot x\cdot7+7^2=(x-7)^2=(x-7)(x-7)[/tex]
Used: (a - b)² = a² - 2ab + b²
Answer: (x - 7)(x - 7)
Answer:
The factors of the expression x² - 14x + 49 are (x - 7) (x - 7) .
Step-by-step explanation:
As given the expression in the question be as follow .
= x² - 14x + 49
This is also written as
= x² - 7x - 7x + 49
= x (x - 7)-7 (x - 7)
= (x - 7) (x - 7)
Therefore the factors of the expression x² - 14x + 49 are (x - 7) (x - 7) .
If line t is perpendicular to both line l and line m, then ∠1 and ∠2 are both ____ angles. Question acute right obtuse complementary
Answers
Answer:
∠1 and ∠2 both are right angles.
Step-by-step explanation:
Given that if line t is perpendicular to both line l and line m, then
we have to find about the angle ∠1 and ∠2
As given line l is perpendicular to both line l and line m,
Therefore the point at which the ;line intersect the two lines l and m at 90° i.e
∠1 and ∠2 both angles are formed at the intersection points of line t with l and m.
Hence, ∠1 and ∠2 both are right angles.