The expression is [tex]\frac{(x^{19}y^{21})^{4} }{(x^{2} y^{6})^{2} }[/tex]. The simplified expression as [tex]{x^{72}y^{72} }[/tex]. Option B is correct.
Given that,
The expression is [tex]\frac{(x^{19}y^{21})^{4} }{(x^{2} y^{6})^{2} }[/tex]
We have to simplify the expression.
Simplify the expression means solving a math problem is the same thing as simplifying an expression. You basically attempt to write an expression as simply as you can when you simplify it. There shouldn't be any more multiplication, dividing, adding, or deleting to be done when the process is finished.
Take the expression
=[tex]\frac{(x^{19}y^{21})^{4} }{(x^{2} y^{6})^{2} }[/tex]
Multiply the powers
=[tex]\frac{x^{76}y^{84} }{x^{4} y^{12} }[/tex]
Divide the x and y terms
=[tex]{x^{72}y^{72} }[/tex]
Therefore, We got the simplified expression as [tex]{x^{72}y^{72} }[/tex]. Option B is correct.
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In a 30 - 60 - 90° triangle x= 7.5 feet
What is the length of the hypotenuse?
Answer: 15ft or 7(2)
Step-by-step explanation:
The opposite side or the side standing up is the "x" side the hypotenuse is double the size of the opposite in a 30-60-90.
what is the answer to this expression -2 x (10 + (-5) )
Answer: The answer to this expression is -10x
Step-by-step explanation:
We distribute -2x t the equation inside of the parenthaseis
[tex]-2 x (10 + (-5))[/tex]
[tex]-2x*10=-20x[/tex]
[tex]-2x*-5=10x[/tex]
[tex]-20x +10x=-10x[/tex]
The probability of getting a soda at the movie theater is 70%. What is the probability that the next three guests in the movie theater will get a soda
The probability that the next three guests in the movie theater will get a soda, when the probability of getting a soda at the movie theater is 70% is 0.343 or 34.3%.
What is probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
The probability of getting a soda at the movie theater is 70%.
[tex]P=70\%\\P=\dfrac{70}{100}\\P=0.7[/tex]
By the chain rule, the probability of getting the soda to the next 3 guest is equal to the cube of the probability of getting a soda at the movie theater.
Thus, the probability that the next three guests in the movie theater will get a soda is,
[tex]P^3=0.7^3\\P^3=0.343[/tex]
Thus,the probability that the next three guests in the movie theater will get a soda, when the probability of getting a soda at the movie theater is 70% is 0.343 or 34.3%.
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please help ! ASAP step by step explanation please
Answer:
0
Step-by-step explanation:
→ First find inverse cosine 1/2
60°
→ Now multiply this answer by 3 because then if you substitute it in you get 0.5
∝ = 180°
→ Now find sine of 180°
0
Directions: Find the error.
Hugo says that if you interchange any coordinate
in quadrant IV, the new coordinates would still be
in quadrant IV. His friend Melanie disagrees. Who is
correct? Give two examples and explain.
what is w + 4 1/4 = 13 19/20
Answer:
w = 9 7/10
Step-by-step explanation:
w + 4 1/4 = 13 19/20
Subtract 4 1/4 from each side
w = 13 19/20 - 4 1/4
Get a common denominator of 20
w = 13 19/ 20 - 4 1/4*5/5
w = 13 19/ 20 - 4 5/20
w = 9 14/20
We can simplify
w = 9 7/10
Rewrite the fractions to have the same denominator:
1/4 can be rewritten as 5/20
now you have w + 4 5/20 = 13 19/20
Solve for w by subtracting 4 5/20 from both sides:
W = 9 14/20 which can be rewritten as 9 7/10
answer: 9 7/10
Emily walks every day, and she keeps a record of the number of miles she walks each day. The histogram and five-number summary below were created from the recorded miles for a random sample of 25 of the days Emily walked.
Given the method given to calculate an outlier, the method does not identify 7.5 miles as an outlier.
Is 7.5 miles an outlier?An outlier is either very much larger or smaller than the rest of the data in the dataset. In this dataset: 1, 2, 1000. 1000 is an outlier.
Outlier = 1.5 x interquartile range
Interquartile range = q3 - q1
1.5 x (3.8 - 2.6) = 1.8
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please help me with this
Answer:
94 Wins
Step-by-step explanation:
Here we need to find the mean, to do this we add up all the values then divide the sum by how many values we started out with.
97 + 103 + 92 + 95 + 84 = 471
471 / 5 = 94.2
since we got a decimal we can round to find an exact number; since the decimal is under .5 we will round down, 94
So 94 wins would be the correct answer. Hope this helped!
help me please need help missing lengths
Step-by-step explanation:
please mark me brilliant
Step-by-step explanation:
5. θ = 60°
→ To find the value of y ,
Cos θ = b/h
putting the values in terms of cos
Cos 60° = y/16
1/2 = y/16
16/2 = y
y = 8 unit
→ To find the value of x ,
Sinθ = P/h
putting the values in terms of sin
Sin60° = x/16
√3/2 = x/16
16×√3/2 = x
16×1.73/2 13.84 unit
6. θ = 30°
→ To find the value of y
tanθ = p/b
putting the values in terms of tan
tan 30° = 2/y
1/√3 = 2/y
2×√3 = y
3.46 unit = y
→ To find the value of x
Sin θ = p/h
putting the values in terms of sin
Sin 30° = 2/x
1/2 = 2/x
4 unit = x
A grocery store sells long grain rice for 2.49 per pound. Write an expression for the cost of y pounds of long grain rice.
I dont want to waste time thinking about it
Answer:
Step-by-step explanation:
Cost = 2.49 * y
You really should spend the time. Math is used everywhere.
Factorise 3(3x-y)-(y-3x)
Answer:
4(3x-y)
Step-by-step explanation:
Given:
[tex]\displaystyle \large{3(3x-y)-(y-3x)}[/tex]
To factor this kind of expression, first, find the common factor.
[tex]\displaystyle \large{3(3x-y)-(-3x+y)}\\\displaystyle \large{3(3x-y)+(3x-y)}[/tex]
Notice that in the expression, we have both same (3x-y). Therefore, (3x-y) is our factor.
Let u = 3x-y
[tex]\displaystyle \large{3u+u}\\\displaystyle \large{4u}[/tex]
Change u back to 3x-y:
[tex]\displaystyle \large{4(3x-y)}[/tex]
Therefore, the factored expression is 4(3x-y).
I need help pls!!! I would appreciate it
Answer:
(-1,-4) ---> 77
Step-by-step explanation:
When an article is sold at 6% profit and 9% profit then the difference in sp is Rs 9 find CP and both SP of the article.
Step-by-step explanation:
the present price of a motorcycle is Rs 2,25,000.if it's price is depreciated per year by 8% after how many years will the price of the motorcycle be rs 1,75,204.80?
f I read 245 pages of The Lightning Thief, what percent of the book have I read? (There are 377 pages total, Round to the nearest percent
Answer:
65%
Step-by-step explanation:
set a porportion
245 =x
377 100
245x100= 24500/377 = 64.9 rounded = 65%
hey, can you answer this for me?
9-3x=54?
[tex] \Large{\boxed{\sf x = -15}} [/tex]
[tex] \\ [/tex]
Explanation:Given equation:
[tex] \sf 9 - 3x = 54 [/tex]
[tex] \\ [/tex]
Subtract 9 from both sides:
[tex] \sf 9 - 3x - 9 = 54 - 9 \\ \\ \sf -3x = 45 [/tex]
[tex] \\ [/tex]
Divide each side by -3 :
[tex] \sf \dfrac{-3x}{-3} = \dfrac{45}{-3} \\ \\ \\ \boxed{\boxed{\sf x = -15}} [/tex]
[tex] \\ \\ [/tex]
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Answer: C: -4, -6 B:-14, -6 A:-14, -18
Step-by-step explanation: Multiply all of your points by 2
1 . what’s -3 p + 6 p = ?
Hurry please!!!
Answer: 3p
Step-by-step explanation: The reason is because -3 + 6 = 3, therefore -3p + 6p = 3p. I hope this helped! If I did anything wrong then please let me know! :)
[tex] - 3p + 6p[/tex]
solution:first you'll have to combine light terms, both are light terms so,
[tex] - 3p + 6p[/tex]
[tex] =3p[/tex]
romina has a maximum of 90 minutes to make traditional mexican paper flowers she spends 15 minutes watching videos on how to make flowers then it takes her 3 minutes to do each flower romina writes the inequality 15 + 3f <90 to repesent the number of flowers F she has to make
Answer:
f<25, she can make less than 25 flowers to have enough time, (I think the inequalitie sign should have a line underneath it tho meaning, less than or equal to 25 flowers, which would only make sense)
Step-by-step explanation:
First you need I subtracted 15 from 90 which got me 75.
15 + 3f<90
-15 -15
_________
0 75
3f<75
__
3f
75 divided by 3f= 25
if your catering people and its $80 for 6-8 people how much would it be to cater 128 people
Answer:
Your answer(s) is $1,706.67, $1,462.86, or $1,280
Step-by-step explanation:
This really varies based on whether you take $80 as equal to 6 people, 7 people, or 8 people.
I'll list all three explanations and you can choose one.
6 people: 1,706.67 (rounded to nearest cent)
128 ÷ 6 = 21.33333333
21.33333333 × 80 = 1,706.67
7 people: 1,462.86 (rounded to nearest cent)
128 ÷ 7 = 18.28571428571429
18.28571428571429 × 80 = 1,462.86
8 people:
128 ÷ 8 = 16
16 × 80 = 1,280
Last year at a certain high school, there were 84 boys on the honor roll and 50 girls
on the honor roll. This year, the number of boys on the honor roll decreased by 25%
and the number of girls on the honor roll decreased by 16%. By what percentage did
the total number of students on the honor roll decrease? Round your answer to the
nearest tenth (if necessary).
Answer:
Step-by-step explanation:
Boys Girls
84 50
%decrease %decrease
-25% -16%
84=100% 50=100%
75% 84%
75/100×84 84/100×50
=63 =42
84+50=134
63+42=105
134-105=29
134=100%
29
29/134×100
21.6%
Write an equation for a line that passes through (1,-4) and (3,-5)
Answer:
y = -3/4x - 1/2
Step-by-step explanation:
Given:
Point 1: (1, -4)
Point 2: (3, -5)
Find:
The equation for the line that passes through Point 1 & Point 2
Solution:
y = mx + b
Will be the equation to arrive to at the very end, but we need m & b, the slope and the y-intercept
m = ( y2 - y1 ) / ( x2 - x1 ) = ( -5 - (-4) ) / ( 3 - 1 ) = -1 / 2
∴ m = - 1/2
Using either P1 or P2, plug in one of their respective x- and y-values into:
y = -1/2 x + b
I'll do (3, -5):
-5 = -1/2 ( 3 ) + b
-2 = -3/2 + b
-4 = -3 + 2b
-1 = 2b
∴ b = -1/2
∴ y = -3/4x - 1/2 is the equation of the line that passes thru both points (-5, 4) and (3, -2)
The area of a rectangle is 56 cm, Tho longth is 2 cm more than x and the width is 5 cm less than
twico x. Solve for x. Round to the nearest whole number,
Answer:
9
Step-by-step explanation:
Since Area = L × W
Thus,
Area = (x + 2)(2x - 5) = 56
x^2 +4x - 5x - 10 = 56
x^2 - x - 10 = 56
x^2 - x - 66
Using the quadratic formula:
a = 1
b = - 1
c = - 66
Solving:
[tex]\frac{x = (-b) +/- sqrt(b^2 - 4ac)}{2a}[/tex]
[tex]\frac{x = 1 + /- sqrt(1^2 - 4(1)(-66)}{2(1)}[/tex]
[tex]\frac{1 +/- sqrt (265)}{2}[/tex]
17.279/2
8.639
Round = 9
~Lenvy~
Is the question below a statistical question?
What is the difference in rainfall between this year and last
year?
Answer:
No because there can only be one answer.
Step-by-step explanation:
Statistical questions have to have more than one answer in order for it to be statistical.
What is the area of this composite figure?
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A figure is comprised of 2 rectangles. The first rectangle has a length of 10.5 centimeters and width of 15.5 centimeters. The second rectangle has a length of 18 centimeters and width of 11.5 centimeters.
135 centimeters squared
207 centimeters squared
249 centimeters squared
279 centimeters squared
Answer:
249 centimeters squared
Step-by-step Explanation:
The area of the rectangle: l x w, where l is the length and w is the width.
= 15.5 x 18
= 279
Area of the smaller rectangle: l x w, where l is the length and w is the width.
= 4 x 7.5
= 30
We do not need this 30.
Area of the shaded region:
= 279 - 30
= 249 cm²
How many inches of snow fell each hour? (8th Math)
Answer:
2 inches
Step-by-step explanation:
If 10 inches of snow fell each hour, then you divide that by five hours to get your average, which then equals 2. So your answer is 2 inches per hour.
I hope this answered your question and helped you :)
Answer:
Looking at the graph it looks like 5 inches in 2 1/2 hours
Hope this helps :)
Charlie had $938 he wants to buy gifts for his 15 family members he wants to spend the same amount of money (in dollars) for each person with the remaining money he buys a pen worth $3 how much money will he have left over after his purchases
Answer: $5
Step-by-step explanation:
938-3 = 935
935/ 15 = $62 on each person with a balance of $5
A can of diced tomatoes has a height of 11.5 cm and a diameter of 10 cm.
What is the volume of the can? Use 3.14 for i.
DO NOT round your answer.
A cubic cm
Answer:
10 cm
Step-by-step explanation:
the can is shaped like a cylinder
first step is to find the radius and then multiply the figure by 2
volume of a cylinder = nr^2h
n = 22/7
r = radius
903 = 11.5 x r^2 x 3.14
r^2 = 903 / (3.14 x 11.5)
r = 5 cm
diameter = 10cm
x= -5y + 36
5x + 5y = 0
The substitution method. Also please help me I’m so confused
Answer:
x = -9
y = 9
Step-by-step explanation:
If we know that x = -5y + 36
The second line says that
5x + 5y = 0
We can substiute the value of x from the first line into the second line.
So it becomes
5 ( -5y+36) + 5y = 0
Distribute the 5 over the parentheses
-25y + 180 +5y = 0
Then we can add things that are alike; so that means we can add the y values
-20y + 180 = 0
Then add 20y to both sides of the equation
180 = 20y
Then you divide by 20.
You get 9 = y!
Now that you have the value of y, you can put it back into the intial question.
5x+5y = 0
5x + 5(9) = 0
5x + 45 = 0
5x = -45
x = -9
Answer:
x=-9 y=9
Step-by-step explanation:
Substitute x:
5(-5y+36)+5y=0
Use Distributive property
-25y+180+5y=0
Add Like terms
-20y+180=0
Subtract 180 from both sides
-20y=-180
divide -20 from both sides
y=9
Solve for x by substituting the value of y into the equation x= -5y + 36
to get x=-9
if x = 1/4 and Y = 3/7 evaluate the following expression 7x-4y
If x = 1/4 and Y = 3/7
Evaluate the following expression: 7x - 4y
[tex] \\ [/tex]
[tex] \rm{7 ( \frac{1}{4}) - 4( \frac{3}{7} ) } \\ [/tex]
Substitute the given value of x and y[tex] \rm { \orange{7 \times \frac{1}{4} }} - 4 \times \frac{3}{7} \\ [/tex]
Calculate the product of the rational numbers[tex] \rm{ \frac{7}{4} - \orange{ 4 \times \frac{3}{7 }} } \\ [/tex]
Calculate the product of the rational numbers[tex] \rm \orange{ \frac{7}{4} - \frac{12}{7} } \\ [/tex]
Find the difference between the two fractions[tex] = \small{\boxed{{\sf{ \frac{1}{28} }}}}[/tex]
Therefore, the answer is 1/28.
Answer:
Step-by-step explanation:
[tex]\text{Substitute the values of x and y in the expression}[/tex]
[tex]7x - 4y = 7*\dfrac{1}{4}-4*\dfrac{3}{7}[/tex]
[tex]\sf =\dfrac{7}{4}-\dfrac{12}{7}\\\\ [LCM \ of 4 \ and \ 7 = 28]\\\\ =\dfrac{7*7}{4*7}-\dfrac{12*4}{7*4}\\\\=\dfrac{49}{28}-\dfrac{48}{28}\\\\=\dfrac{1}{28}[/tex]
A square room has measures of length and height am and bm respectively. write the formula to calculate the area of its four walls
Answer:
area of the four walls
= a^2 x 4