Step-by-step explanation:
Y^5 * Y^3 / Y^2 = Y ^(5+3 -2) = Y^6
Rewrite the division as a fraction.
[tex]\dfrac{y^5\times y^3}{y^2}[/tex]
Multiply y⁵ by y³ by adding the exponents.
[tex]\dfrac{y^8}{y^2}[/tex]
Cancel the common factor of y⁸ and y²
[tex]\bold{y^6}[/tex]
100 POINTS HELP PLEASE IM DESPERATE !!!!!!!!!!!!!!!!!!!!
If AB¯¯¯¯¯¯¯¯
is translated right 5
units and down 2
units, what are the coordinates of A′,
the image of point A?
Line Segment A B with coordinates A negative 5, 2 & B negative 2, 6.
Which of these is closest to the measure of the angle?
Choose 1 answer:
A. 120∘ degrees
B. 180∘ degrees
C. 60∘ degrees
D. 270∘ degrees
Answer: D
Step-by-step explanation:
180+90= 270
90x3=270
Last year at a certain high school, there were 56 boys on the honor roll and 135 girls on the honor roll. This year, the number of boys on the honor roll increased by 25% and the number of girls on the honor roll increased by 20%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
Answer: 18.5%
Step-by-step explanation: Last year, there were 56 boys and 135 girls on the honor roll, for a total of 191 students. This year, the number of boys on the honor roll increased by 25%, which means there are now 70 boys on the honor roll (56 * 1.25). The number of girls on the honor roll increased by 20%, which means there are now 162 girls on the honor roll (135 * 1.20).
The total number of students on the honor roll this year is therefore 70 + 162 = 232.
To find the percentage increase in the total number of students on the honor roll, we can use the formula:
percentage increase = (new value - old value) / old value * 100
Plugging in the numbers, we get:
percentage increase = (232 - 191) / 191 * 100 = 21.47%
Rounding to the nearest tenth, we get an increase of approximately 18.5%.
Hope this helps, and have a great day!
The length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, working on it. It takes 6 hours for 16 children to put the jigsaw puzzle together. How many children are needed to put the same jigsaw puzzle together? How many children are needed to put the same jigsaw puzzle together in 4 hours?
Answer: up to 120 pieces
Step-by-step explanation:
Mrs. Gomez is buying a triangular table for the corner of her classroom. The side lengths of the table are 5 feet, 3 feet, and 2 feet
Is this a triangular table a right triangle?
Answer:
The answer to your problem is, D. Yes, because 2 + 3 = 5.
Step-by-step explanation:
Refer to the converse of the pythagorean theorem. We need to have both sides equal to each other to have a right triangle.
So we need to have:
[tex]a^{2} + b^{2} = c^{2}[/tex]
We would need to fill out the problem and replace A, B, and C. Which leads to either being B or D
The longest side is the hypotenuse and the value of c.
Thus the answer to our problem is, D. Yes, because 2 + 3 = 5
Identify the first quartile, and the third quartile of the following data.
5, 1, 4, 0, 9, 0, −8, 5, 2, 4, −1, 10, 7, −5
(VOTING BRAINLIEST FOR CORRECT ANSWER)
Answer:
Q1=0.5 Q3=6
Step-by-step explanation:
To find the quartiles, we first need to put the data set in order from smallest to largest:
−8, −5, −1, 0, 0, 1, 2, 4, 4, 5, 5, 7, 9, 10
There are 14 data points, so the median is the average of the 7th and 8th numbers, which is (2+4)/2 = 3.
Now we divide the data set into two halves, the lower half and the upper half, not including the median.
Lower half: −8, −5, −1, 0, 0, 1, 2
Upper half: 4, 4, 5, 5, 7, 9, 10
To find the first quartile, we take the median of the lower half of the data set. There are 7 numbers in the lower half, so the median is the average of the 4th and 5th numbers, which is (0+1)/2 = 0.5.
To find the third quartile, we take the median of the upper half of the data set. There are 7 numbers in the upper half, so the median is the average of the 4th and 5th numbers, which is (5+7)/2 = 6.
Therefore, the first quartile is 0.5 and the third quartile is 6.
Find the surface area of the figure below. Round your answer to the nearest whole number.
Help please
Solve for x.
Answer:x=29
Step-by-step explanation:
x+3+x-1+x+1=90
3x+3-1+1=90
3x+3=90
3x=90-3
3x=87
x=87/3
x=29
OK LAST QUESTION...maybe...YEAH LAST QUESTION!!!
THANK YOU GUYS SO MUCH!!! <333333
The value of x is:
↬ 73Solution:
If two angles are supplementary, that means that the sum of their measures is 180°.
We're given 2 angles:
[tex]\sf{\angle m}[/tex][tex]\sf{\angle n}[/tex]And since they're supplementary, the following holds true:
[tex]\sf{\angle m + \angle n = 180}[/tex]
Next, we know that [tex]\sf{\angle m=34}[/tex], so we plug that in
[tex]\sf{34+\angle n = 180}[/tex]
Then, ∠n = 2x:
[tex]\sf{34+2x=180}[/tex]
Which is the same as
[tex]\sf{2x+34=180}[/tex]
Subtract 34 from each side
[tex]\sf{2x=146}[/tex]
Divide each side by 2
[tex]\sf{x=73}[/tex]
Hence, x = 73Solve the equation using inverse operations. Check your solutions. In your final answer, include all of your work.
2+x³=18
Answer: x=2.519842
Step-by-step explanation:
Rewrite the equation as x3+2=18
Then subtract 2 from both sides
x3=16
Lastly take the cube root
X=(16) (1/3)
X=2.519842
1.) 25 - 3x = 88
2.) -11 = 7 - x
3.) 1/2x - 18 = 2
4.) 2/3x - 10 = -12
5.) 6 - 1/3x = -1
6.) 45 + 5/6x = 50
7.) 95 = -4 + 33x
Answer:
1: x=21
2: x=18
3: x=40
4: x=-3
5:x=21
6: x=6
7: x=3
Step-by-step explanation:
Please I need some help.
Answer:
A: 9w-126=45
B: +126 +126, 9w=171
Step-by-step explanation:
Can you help with this or see if my selection is right
83 PTS!! On the following composite figure, all angles are right angles. All short edges of the figure have a measure of 1.5 centimeters. All long edges have a measure of 3 centimeters. Decompose the figure into parallelograms or triangles only. Explain or show how you decomposed the shape.
ANSWER QUICK PLS
NEED IT QUICK
.........
Answer:
X=-6 and X=0
Step-by-step explanation:
I will solve this by factoring.
Factor x(x+6)=0 into to equations: X=0 and x+6=0.
Move the 6 to the other side which will make it negative and their is nothing to do with x=0.
So the final answer is X=-6 and X=0.
Answer:
x = 0 , x = -6
Step-by-step explanation:
Zero product propertyThe equation x(x+6) = 0 can be solved using the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero.
So we can set each factor ( "x" and "x+6") equal to 0 and solve for x
Factor #1
x = 0
Factor #2
x + 6 = 0
==> subtract 6 from both sides
x = -6
Checking our workWe can now substitute the values of x into the original equation to check our work
x(x+6) = 0
==> plug in x = 0
0(0+6) = 0
==> simplify addition within parenthesis
0(6) = 0
==> multiply 6 and 0
0 = 0
x(x+6) = 0
==> plug in x = -6
-6(-6 + 6) = 0
==> add -6 and 6
-6(0) = 0
==> multiply -6 and 0
0 = 0
Both values of x satisfy the equation therefore the values of x are indeed -6 and 0
Learn more about the zero product property here :
https://brainly.com/question/4893812
What is the surface area of the rectangular prism below if the rectangular base measures 6
feet by 8 feet and each face has a height of 12 feet?
A 216 square feet
B 336 square feet
C 432 square feet
D 576 square feet
Answer: 576 square feet
Step-by-step explanation:
can you guys help me please thank you sm!!!
:)
you run 1 3/4 miles each day. your friend runs 4 times as far as you do. how far does your friend run each day?
Answer: answer is 7
Step-by-step explanation: 7/4 x 4 = 7
Could someone help me quickly please?
Answer: 65 advance tickets
Step-by-step explanation:
Answer:
Advance tickets sold: 30
Same-day tickets sold: 25
Step-by-step explanation:
So, let's assume that the number of advance tickets is the variable [tex]x[/tex], and the number of same-day tickets is [tex]y[/tex].
Since the cost of advance tickets is $25 dollars, we can show that using [tex]25x[/tex], and the cost of same-day tickets is $35, we can show that with [tex]35y[/tex]. The total cost of the tickets is $1625 and the total number of tickets is 55.
Now, let's form a system of equations with this information.
[tex]25x+35y=1625\\x+y=55[/tex]
Step 1: Rearrange equation so that it solves for a variable
[tex]x+y=55[/tex] can be rewritten as [tex]y=-x+55[/tex]
Step 2: Substitute
[tex]y=-x+55[/tex], so, we can write this in the first equation as: [tex]25x+35(-x+55)=1625[/tex]
Step 3: Simplify
[tex]25x-35x+1925=1625\\-10x=-300\\x=30[/tex]
So the number of advance tickets sold are 30.
Now, let's solve for the number of same-day tickets sold.
Step 4: Solve for y
Using our equation from above ([tex]y=-x+55[/tex]), we can substitute the value that we solved for ([tex]x=30[/tex]) to solve for the variable y.
[tex]y=-30+55\\y=25[/tex]
The number of same-day tickets sold are 25.
Hope this helped ya :)
idek how to explain this
Answer:
84
Step-by-step explanation:
Find the area of the above rectangle (10*6 = 60)
Find the area of the middle rectangle (4*3 = 12)
Find the area of the lower rectangle (2*6 = 12)
Add up the areas: 60 + 2(12) = 84
PLEASE HELP ME
Solve the equation using inverse operations. Check your solutions. In you final answer, include all of your work
-X²= - 36
On a chapter test, Stephanie uses the rules of equation solving and inverse operations to solve the cubic equation below. The directions on the test are not very specific; however, they do say to give an exact solution. Stephanie is not sure if she should submit a decimal approximation or a simplified radical as the answer.
4x³=756
What recommendation can you make to Stephanie regarding her answer to the cubic equation above? In your recommendation, explain what the term "exact" indicates with regards to the solution.
Solve the cubic equation from Stephanie’s test. Submit two solutions for the equation- a) your answer as a decimal approximation, rounded to the nearest hundredth, and b) as a simplified radical. Use substitution to check each version of your solution in the original equation.
After solving the test question and checking both the decimal solution and the simplified radical form, would you change your recommendation (in Part 1) to Stephanie regarding the format of her answer? Use complete sentences to explain your reasoning.
Answer: The answer is -6.
Step-by-step explanation:
The first step in solving -X²= - 36 is to simplify the expression. Then, divide both sides by the same factor. You'll get X² - 36 = 0.
After that, you need to use the quadratic formula. Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula. a=1, b=0, and c=-36.
Finally, you need to simplify the expression. First, evaluate the exponent. Then multiply the numbers. After that, Add the numbers and evaluate the square root. Add zero, and then multiply the numbers again. You get +12/2, which simplifies into X = 6. Add the negative, and you get X = -6.
I hope it helped! :)
Suppose you bought a car for $72,227 and the value of the car has decreased by 97%. What is the new value of the car? Round your answer to the nearest hundredth.
Answer:
2167
Step-by-step explanation:
2166.8 is a 97% decrease of 72227.
Can someone answer this quickly no randoms plsss
they would become smaller and possibly more accurate or possibly less accurate - depends on what the definition is for outlier in this study.
Please help I'm desperate -Attachment-
Answer:
1. c. 276ft
2.56ft
Step-by-step explanation:
1. I took the length and multiplied that by the width to get the area
2.
Answer:
1. C
2. D
Step-by-step explanation:
For question 1 you would multiply 23 by 12 because the area of a rectangle is base * height. To get 276 which is C.
For question 2 you would find the area by doing 1/2(b*h) or 1/2(7*4) which equals 14. To find the area of 4 triangles you would then do 14*4 which equals 96.
Please help me please
Answer:
15
Step-by-step explanation:
A=(a+b)/ 2 x h
A= (4+6)/ 2 x 3
A= 15
If I am wrong then please let me know
You pick a card at random What is P(factor of 48)?
Answer:
48 = {1,2,3,6,8,48.}
Step-by-step explanation:
These are the factors if 48. if it's correct please let me know.
The equation below shows the total volume (V), in cubic units, of 7 identical boxes with each side equal to s units:
V = 7s3
If s = 2.3 units, what is the value of V? (1 point)
Answer:
48.3
Step-by-step explanation:
multiply 7by 2.3 then multiply the whole thing by3 and that’s your answer
Answer: 48.3
Step-by-step explanation:
Answer quick for 10 points!
Answer:
I think D? sry if its wrong tho :/
Step-by-step explanation:
Answer: D
Step-by-step explanation:
Please answer see attached photo
Answer:
Bolded below
Step-by-step explanation:
0-1 mile: 50%
1-2 miles: 78% - 50% = 28%
2-3 miles: 0.1 = 10%
3+ miles: 100% - (50% + 28% + 10%) = 12%
Hope this helps!
Distance from School Percent of Students
Within 1 mile 50%
Between 1 and 2 miles 78%
Between 2 and 3 miles 0.1%
More than 3 miles 21.9%
What is percentage?Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent sign, "%". For example, 45% (read as "forty-five percent") is equal to 45⁄100, or 0.45. Percentage can be used to express how much of something there is compared to the whole.
The given data can be represented in a table to show the percent of students who are living at each distance from the school. The table shows that 50% of the students live within 1 mile from the school, 78% of the students live between 1 and 2 miles from the school, 0.1% of the students live between 2 and 3 miles from the school, and 21.9% of the students live more than 3 miles from the school. This is happening due to the fact that the majority of students live close to the school, hence the higher percentages of students living within the shorter distances and lower percentages of students living at the longer distances.
For more questions related to fraction
https://brainly.com/question/17220365
#SPJ1
Selections
-One Solution
-No Solution
-Infinite Solution