Which expression is equivalent to StartFraction 5 y cubed Over (5 y) Superscript negative 2 Baseline EndFraction? y5 y6 125y3 125y5.
Answers
The expression which is equivalent to Start Fraction 5 y cubed Over (5 y) Superscript negative 2 Baseline End Fraction is
[tex]125y^5[/tex]
How to find the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
To find the equivalent expression, simplify the provided function using the mathematical operations.
The given algebraic expression is,
[tex]\dfrac{5y^3}{(5y^{-2})}[/tex]
Suppose the equivalent expression of this fraction is n. Thus,
[tex]n=\dfrac{5y^3}{(5y^{-2})}\\\\n=\dfrac{5y^3}{((5)^{-2}y^{-2})}\\[/tex]
In the division the power of the same number is subtracted. Therefore,
[tex]n=(5)^{1-(-2)}(y)^{3-(-2)}\\n=5^3\times y^5\\n=125y^5[/tex]
Hence, the expression which is equivalent to StartFraction 5 y cubed Over (5 y) Superscript negative 2 Baseline EndFraction is
[tex]125y^5[/tex]
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Answer:
The answer is D.
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Related Questions
ASAP please answer correctly if you do I will mark brainliest. Only DO NUMBER 10 please so you only have 1 question to do.
Answers
X=2
Step-by-step explanation:
4x=6
-4x.-4
x=2 so your answer Is x=2
Answer:
x = 3
Step-by-step explanation:
perimater
3 + 3 + 2x + 2x
6 + 4x
area
3(2x)
6x
substitute:
6x = 6 + 4x
-4x -4x
2x = 6
x = 3
test question dont mind me
Answers
Answer: okay.
Step-by-step explanation:
Please guys I keep getting this question wrong What letter is located at approximately right answers only
√
22
A E
B F
C G
D H
Answers
B) F
You put √22 in a calculator and it gives you ≈ 4.69
Juanita begins to factor an expression as shown.
x2+3x−18=(x+)(x−)
What numbers should be placed in the boxes from left to right?
Answers
Answer:
(x+6)(x-3)
solve:
[tex]\sf x^2+3x-18[/tex]
the least common multiple of 1 and 18 is 18 : 6 * 3
[tex]\sf x^2+6x-3x-18[/tex]
breakdown
[tex]\sf x(x+6)-3(x+6)[/tex]
build parenthesis
[tex]\sf (x-3)(x+6)[/tex]
Does the equation below represent a relation, a function, both a relation and a function, or neither a relation nor a function?
y=3x to the power of 2, -9x+20
Answers
The Correct answer Answer:
B. both a relation and a function
Step-by-step explanation:
A cone has a radius of 5.1 inches and a height of 5 inches.
What is the volume of the cone?
Use 3.14 for pi. Round to the nearest tenth
Answers
Answer:
136.19
Step-by-step explanation:
V=πr2h
3=π·5.12·5
3≈136.18804in³
4 people can dig a trench in 3 hours How long would it take 9 people give your answer in minutes
Answers
Answer:
1 hour and 20 minutes
Step-by-step explanation:
If 4 people take 3 hours, 1 person will take 4 times as long. This is 4*3=12 hours. If 9 people do it, it will take 1/9 of the time 1 person takes to do it, which is 12/9 = 1.3 recurring, or 1 and 1/3 of an hour.
Answer:
it takes 80 minutes
Step-by-step explanation:
Hope this helps
Last year you could get a hamburger, fries, and a cola at Francisco's Drive-In for $2.00. Since the price of a hamburger has increased 10%, the price of fries has increased 30%, and the price of a cola has increased 50%, the same meal now costs $2.58. If the price of a cola is now 9 cents more than that of a hamburger, what was the price of each item last year?
Answers
Answer:
hamburger = h = $0.22
Fries = f = $0.96
Cola = c = $0.82
Step-by-step explanation:
Let
last year's price for each item be hamburger = h
Fries = f
Cola = c
h + f + c = 2.00 (1)
The price of a hamburger has increased by 10%
New price of hamburger = 1.10h
The price of fries has increased by 30%
New price of fries = 1.30f
The price of cola has increased by 40%
New price of cola = 1.40c
The same meal now costs $2.58.
1.1h + 1.3f + 1.4c = 2.58 (2)
If the price of a cola is now 9 cents more than that of a hamburger
1.4c = 1.1h + .09
1.4c - 1.1h = .09
Multiply (1) by 1.4
h + f + c = 2.00 × 1.4
1.4h + 1.4f + 1.4c = 2.8 (3)
1.1h + 1.3f + 1.4c = 2.58 (2)
subtract the new equation:
0.3h + 0.1f = 0.22
Multiply by 10
3h + f = 2.2
Recall,
1.4c - 1.1h = .09
1.4h + 1.4f + 1.4c = 2.8 (3)
- 1.1h + 0.0f + 1.4c = .09
Subtract
2.5h + 1.4f = 2.71
multiply by 10
25h + 14f = 27.1
Recall
3h + f = 2.2
Multiply by 14
42h + 14f = 30.8
25h + 14f = 27.1
Subtract to eliminate f
17h = 3.7
Divide both sides by 17
h = 3.7 / 17
= 0.22
h = 0.22
Substitute h into
1.4c - 1.1h = .09
1.4c - 1.1(0.22) = .09
1.4c - 0.242 = .09
1.4c = .09 + 0.242
1.4c = 1.142
Divide both sides by 1.4
c = 1.142 / 1.4
= 0.82
c = 0.82
Substitute values of c and h into
h + f + c = 2.00
0.22 + f + 0.82 = 2.00
1.04 + f = 2.00
f = 2.00 - 1.04
f = 0.96
Therefore, the price of each item last year was
hamburger = h = $0.22
Fries = f = $0.96
Cola = c = $0.82
Which is the best estimate of (-3/5)(17 5/6)
0 -18
O-9
0 9
O 18
Answers
This diagram shows a park's walking path in the shaded area. The outside circumference of the walking path is 50.24 meters and the inside circumference of the walking path is 25.12 meters. What is the area of this walking path? Use 3.14 for π. Enter your answer as a decimal in the box. m²
Answers
Answer:
The answer is 24.78 m^2
Step-by-step explanation:
I did the test
The outside circumference of the walking path is 50.24 meters and the inside circumference of the walking path is 25.12 meters then the area of the walking path is 150.72 m²
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The formula for circumference of circle is 2πr
The area of circle is πr²
Area of large circle
Given:
circumference = 50.24 m
50.24 = 2 × 3.14 × r
r = 8 m
Therefore Area = 3.14 × 8²
= 200.96 m²
Area of small circle
Given circumference = 25.12 m
⇒ 25.12 = 2 × 3.14 × r
⇒ r = 4 m
Therefore Area = 3.14 × 4²
= 50.24 m²
Area of shaded path area = area of large circle - area of small circle
= 200.96 - 50.24
= 150.72 m²
Hence, the area of the walking path is 150.72 m²
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Graph this line using the slope and y-intercept:
y=1/10x
Answers
Rise over run
On Wednesday, a local hamburger shop sold a combined total of 339 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold?
Answers
Answer:
113
Step-by-step explanation:
c/b(cheeseburger)-2x
h/b(hamburgers)-x
2x+x=339
3x=339(divide both sides by 3)
x=113
Is 3/4 less then or greater than 1 whole
Answers
Answer:
less
Step-by-step explanation:
3/4 = 0.75
1/4 = 0.25
0.25*3 = 0.75
or
3/4 = 75%
1/4 = 25%
0.25*3 = 75%
Answer:
Less
Step-by-step explanation:
Fractions are proportions written using division. They are not whole numbers.
Proper Fractions
3/4 is less than 1 whole because it is a proper fraction. A proper fraction is a fraction that has a numerator that is smaller than the denominator. Remember that the numerator is the top number and the denominator is the bottom number. All proper fractions are less than 1. It is important to understand proper fractions in this question because improper fractions and mixed fractions are greater than 1.
This specific question asks about 3/4, which is 1/4 less than 1 whole.
what is the slope-intercept form equation that represents the line?
Answers
Answer:
y=-1/2x+4
Step-by-step explanation:
Can someone help me I’m slow and not understanding
Answers
explanation: move each point that it calls for.
lmk if that’s wrong
Given that
a
= 24° and
b
= 70°.
Work out
x
, explaining each stage of your working in the comment box.
Answers
Answer: 32 degrees
Step-by-step explanation:
Solve this equation. Enter your answer in the box.
–4(x – 26) = –200
Answers
Answer:
x = 76
Step-by-step explanation:
Distributive property:-4(x-26) = -4x + 104
Subtract 104 from both sides.-4x + 104 = -200
-4x = -304
Divide -4 from both sides.x = 76
The solution of the equation is x= 76.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given, equation –4(x – 26) = –200
–4(x – 26) = –200
-4x + 104 = -200
-4x = -200-104
-4x = -304
x = 304/4
x= 76
Therefore, the solution of the equation is x= 76.
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find the outer perimeter of this figure. round your answer to the nearest hundredth. use 3.14 to approximate pi.
Answers
Answer:
19.42 ft
Step-by-step explanation:
Triangular part = 5+5 =10
Semi-circular part = 1/2×2πr = 1/2×2×3.14×3 = 9.42
Perimeter = 10+9.42 = 19.42ft
For semicircular
Outer perimeter
πr3.14(3)9.42Now
Total perimeter
5+5+9.4218.42ft8. A bus is traveling between two cities that
are in neighboring states. The graph of
the function d(t) = 60lt - 1.251 shows the
distance of the bus in miles from the state line,
where t represents time in hours.
a. What does the graph tell you about the bus ride?
Answers
Answer: See below
Step-by-step explanation:
The graph shows uniform motion. First of all, it travels with constant speed in the time interval of (0 to 1.25) hours. And secondly, it travels with constant speed in the time interval (1. 25 to 2.5) hours.
How to solve 3x-y=11, x+2y=6 with the method of elimination?
Answers
Answer:
First point we take the centre number
2[ 3x-y=11]
-1[ x+2y=6]
second we multiply and we adding
6x-2y=22
-x+-2y=-6
_________
5x/5=18/5
x= 3.4
Step-by-step explanation:
third point we take 3x-y=11 any x where we see we change 3.4
3(3.4)-y=11
10.2-y=11
y=10.2-11
y=0.8
Deena has 2 pairs of white socks 3 pairs of black socks, 1 pair of red socks, and 2 pairs of navy socks in her sock drawer. Each
pair of socks is folded together. If she pulls a pair of socks out of her drawer in the morning without looking, what is the
probability that she will choose a pair of white socks?
Answers
Answer:
3/8=0.375
Step-by-step explanation:
There are a total of 8 pairs and three of them are White. Its a simple fraction and figure out the decimal.
Which of the following are perfect squares 484 -81 525 125 225
Answers
Answer:
225
Step-by-step explanation:
15X15 equals 225
Given f (x) = 2x + 3 and g(x) = x2 – 5x + 6, compute (fog)(x) =
Answers
Answer:
(fog)(x) = 2x² - 10x + 15
Step-by-step explanation:
(fog)(x) is called a composite function, where x in f(x) substituted by g(x).The range of g(x) is the domain of f(x)Let us solve our question
∵ f(x) = 2x + 3
∵ g(x) = x² - 5x + 6
→ We need to compute (fog)(x)
∴ Substitute x in f(x) by g(x)
∵ (fog)(x) = 2(x² - 5x + 6) + 3
→ Multiply the bracket by 2
∵ 2(x² - 5x + 6) = 2(x²) - 2(5x) + 2(6)
∴ 2(x² - 5x + 6) = 2x² - 10x + 12
→ Substitute it in the composite function above
∴ (fog)(x) = 2x² - 10x + 12 + 3
→ Add the like terms 12 and 3
∴ (fog)(x) = 2x² - 10x + 15
F is directly proportional to a.
If F = 42 when a 7 find
a when F = 18
Answers
Answer:
a=3
Step-by-step explanation:
The formula for direct proportion is
f = ka
Let f= 42 and a = 7
42 = k*7
Divide each side by 7
42/7 = k7/7
6 =k
f = 6a
Let f = 18
18 = 6a
Divide each side by 6
18/6 = 6a/6
3 =a
Answer:
a = 3
Step-by-step explanation:
Given that F is directly proportional to a, then the equation relating them is
F = ka ← k is the constant of proportion
To find k use the condition F = 42 when a = 7, thus
42 = 7k ( divide both sides by 7 )
6 = k
F = 6a ← equation of proportion
When F = 18, then
18 = 6a ( divide both sides by 6 )
3 = a
A garbage bin can hold 50 gallons of waste. Complete the table to show what percent of the bin would be filled for different amounts of waste. Will get brainliest if answers first and gets it right.
Answers
1. 10%
2. 60%
3. 90%
The percent of the bin would be filled for 30 gallons of amounts of waste is 60 percent.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, a garbage bin can hold 50 gallons of waste.
Waste (gal) = 5
Percentage = 5/50 ×100
= 10%
Waste (gal) = 30
Percentage = 30/50 ×100
= 60%
Waste (gal) = 45
Percentage = 45/50 ×100
= 90%
Therefore, the percent of the bin would be filled for 30 gallons of amounts of waste is 60 percent.
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Consider the expression 8-6x+x^2, Is the expression equivalent to (x-4)(x-2)?
Answers
Answer:
Yes
Step-by-step explanation:
Factoring is the process of breaking a polynomial into its factors.
Standard Form
It is easiest to factor when in standard form. Standard form is when the terms are listed from highest power to lowest.
Standard form is [tex]x^2-6x+8[/tex]Factoring
To find if two expressions are equal we can either factor the quadratic or multiply out the binomials. I find factoring to be faster and easier, so I will show that.
There are multiple techniques to factor; I will be explaining one of them. One way to factor quadratics is to find 2 numbers that multiply to c (the constant) and sum to b (the second term). In this case, the numbers -4 and -2 fit these requirements.
-4 * -2 = 8-4 + -2 = -6This means that [tex]x^2-6x+8[/tex] factored is [tex](x-4)(x-2)[/tex]. Thus, they are equivalent.
please help me please
Answers
Answer:
4/5
Step-by-step explanation:
Judging by the graph, it looks like there are 2 points at (0, 2) and (5, 6).
We can find the slope by 'subtracting' these points:
(6-2)/(5-0) =4/5
If you ever need to remember this trick, you can remember "rise over run".
I hope this solution helped you. Happy mathing!
Solve angle X to 1 dp
Answers
Answer:
x ≈ 57.8°
Step-by-step explanation:
using the Sine rule in the triangle
[tex]\frac{11}{sinx}[/tex] = [tex]\frac{8}{sin38}[/tex] ( cross- multiply )
8 × sinx = 11 × sin38° ( divide both sides by 8 )
sinx = [tex]\frac{11sin38}{8}[/tex] , then
x = [tex]sin^{-1}[/tex] ( [tex]\frac{11sin38}{8}[/tex] ) ≈ 57.8° ( to 1 dec. place )
Mary is n years old. Write an expressions for her age 10 years ago.
Answers
Answer:
[tex]n-10=a[/tex]
Answer:
Mary is x years old
when we write the expression for her age which represents 12 years from now, it means we have to add 12 years in the age of Mary, and she is x years old now
so the expression will be:
x+12
and the expression which represents her age two years ago from now when she is x years old is:
x-2
if we know the x, we can calculate easily her age for above two expressions.
Step-by-step explanation:
A square has a side length of 1.2 feet. If the square is dilated by a factor of 2.5, what is the length of a side of the new square?
Answers
Answer:
Step-by-step explanation:
It starts out at 1.2 feet. In math, dilation means make larger or smaller, so I have to give you both answers. Check with your instructor to see what the question intends.
Larger
1.2 * 2.5 = 3
Smaller
1.2 / 2.5 = 0.48
Answer:
beef
Step-by-step explanation:
beef is the answer to everything