After the simplification of the given radial expression [tex]\sqrt{\frac{64}{16}(\frac{y^{10} }{y^{12} } )\frac{h^{5} }{h^{5} } }[/tex] we get [tex]\frac{2}{y}[/tex].
What is radical expression?
A radical expression is defined as any expression containing a radical ([tex]\sqrt{}[/tex]) symbol.
The term underneath the radical symbol is called the radicand.
How to solve radical expression?To solve a radical expression, simply take the the square root of the radicand.
According to the given question, we have a radical expression
[tex]\sqrt{\frac{64y^{10}h^{5} }{16y^{12} h^{5} } }[/tex]
=[tex]\sqrt{\frac{64}{16}(\frac{y^{10} }{y^{12} } )\frac{h^{5} }{h^{5} } }[/tex] ([tex]\frac{x^{m} }{x^{n} } =x^{m-n}[/tex])
= [tex]\sqrt{4(\frac{1}{y^{2} })(1) }[/tex]
= [tex]\sqrt{\frac{4}{y^{2} } }[/tex]
= [tex]\frac{2}{y}[/tex]
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A scale drawing of a billboard uses the scale 4cm:9 ft. The length of the billboard in the drawing is 11 cm. How long is the actual billboard
The length of the actual billboard is 24.75 ft.
What is Scale Factor?A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure.
Given:
Scale: 4cm : 9 ft
So, 1 cm = 9/4 ft
Then, length = 11cm
= 11 x 9/4
= 99/4
= 24.75 ft
Hence, the length is 24.75 feet.
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Eder needs 6 cookies and 2 brownies for every 4 plates he makes for a bake sale. Drag cookies and brownies into the box to show how many Eder needs for 10 plates.
Answer:
Eder needs 15 cookies and 5 brownies for every 10 plates he makes.
Step-by-step explanation:
In order to know hoy many cookies and brownies Eder needs for 10 plates, given the fact that he needs 6 cookies and 2 brownies for every 4 plates, we need to perform the following calculation:
6C + 2B = 4X (plates)
6/4C + 2/4B = X
1.5C + 0.5 B = X
So, as we can see, 1.5 cookies and 0.5 brownies are needed for every plate. To know how many of those are needed for ten plates, we ned to multiply those numbers by 10.
1.5 x 10 = 15
0.5 x 10 = 5
Eder needs 15 cookies and 5 brownies for every 10 plates he makes.
if 2x+5= 12 for some value of x, then what does 6x+20 equal???
Cereal is packaged in a box shaped like a rectangular prism with a base 7.5 inches by 2 inches and a height of 10 inches. Manufacturing each box requires 10% more cardboard than the box's surface area. How much cardboard is needed to make each box?
Answer: 1032
Step-by-step explanation: you welcome
What percent of the people chose turkey or ham as their favorite sandwich? A. 6% B. 50% C. 28% D. 62%
If a company's revenue is 50 billion USD a year, how much money does it make per hour?
round 1.496 to the place value of the underlined digit (in this case, 9)
a. 1.4
b. 1.49
c. 1.5
d. 1.497
Chad has a rope that is 20 yards long. How many pieces of rope measuring 4/7 of a yard can he divide his rope into?
Answer:
[tex]35\ pieces[/tex]
Step-by-step explanation:
we know that
To find the number of pieces of rope 4/7 of a yard, divide the total length of the rope by 4/7
we have that
The total length of the rope is 20 yards
so
[tex]\frac{20}{(4/7)}=\frac{20*7}{4}=35\ pieces[/tex]
Answer:
28 is the answer
Step-by-step explanation:
can someone help me solve this
Dakota’s dance troupe sold T-shirts as a fundraiser so that they could go to summer camp. When the girls began their fundraiser, 600 people wanted their T-shirts. They were actually short by 210 T-shirts, so the troupe ordered more. They raised the price in hopes of earning more profit, but when the price increased, the demand went down. Use the given information to analyze what happened with the fundraiser.
What happens when the quantity is above the equilibrium point?
Answer:
If the quantity is above the equilibrium point, there is an oversupply.
Step-by-step explanation:
The demand and supply curves intersect at a point called the equilibrium point. At this point, the price and quantity of equilibrium are determined. If we increase the price of the products, there is a decrease in the quantity demanded.
If demand and supply are perfectly elastic, when the price increases, the quantity demanded decreases proportionally. Given this, we can deduce that the collection of funds did not vary from what they would have obtained by selling the rest of the t-shirts at the same price.
If the quantity is above the equilibrium point, there is an oversupply.
Have a nice day!
(-3,2) 90 degrees about the origin clockwise
ASAP
The Choir Booster Club had a budget of $1,300.00 at the start of the school year. They spend $225.30 on t-shirts, $482.25 on lost uniforms, and $135.68 on a holiday party. How much does the booster club have left in their budget?
A. $1,543.23
B. $1,074.70
C. $543.27
D. $456.77
Final answer:
After calculating the expenses, the Choir Booster Club has D. $456.77 left in their budget. This is determined by subtracting the costs of t-shirts, lost uniforms, and the holiday party from their starting budget of $1,300.00.
Explanation:
The Choir Booster Club started the year with a budget of $1,300.00 and spent money on various items. To calculate how much of the budget remains, we need to subtract the costs of the t-shirts, lost uniforms, and the holiday party from the starting budget:
Starting budget: $1,300.00Cost of t-shirts: $225.30Cost of lost uniforms: $482.25Cost of holiday party: $135.68Now, subtract the total expenditures from the starting budget:
$1,300.00 - $225.30 - $482.25 - $135.68 = $456.77 remaining
Therefore, the correct answer is: D. $456.77
A person who weighs 240 pounds burns 180 calories per mile of running. If a person burns thirty-six calories by running one mile, how much does the person weigh?
Answer: 48 pounds
Step-by-step explanation:
Given: A person who weighs 240 pounds burns 180 calories per mile of running.
There is a direct relation ship between the weight of the person and the calories burn.
If a person burns thirty-six calories by running one mile.
Let x be the weight of the person then
[tex]\frac{x}{36}=\frac{240}{180}\\\Rightarrow\ x=\frac{240\times36}{180}\\\Rightarrow\ x=48[/tex]
The weight of the person is 48 pounds.
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Which property changes when a figure is reflected across a line?
When a figure is reflected across a line the orientation of the figure or shape changes when it is a reflected across a line. Also, the x-coordinate and y-coordinate change places
What is reflection?
A reflection is a mirror image of the shape.
What is Coordinate system?In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space
Given,
A figure is reflected across a line
The orientation of the figure or shape changes when it is a reflected across a line
Also, the x-coordinate and y-coordinate change places
Hence, When a figure is reflected across a line the orientation of the figure or shape changes when it is a reflected across a line. Also, the x-coordinate and y-coordinate change places
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The orientation of a figure changes when it is reflected across a line while its shape and size stay consistent, creating a mirror image with symmetry relative to the line of reflection.
When a figure is reflected across a line, its orientation changes, whereas the shape and size of the figure remain the same. The Law of Reflection implies that each point of the figure maintains its distance from the line of reflection but on the opposite side, creating a 'mirror image' or symmetric counterpart. This mirror image aligns with the original figure if an imaginary line were drawn perpendicular to the mirror (line of reflection) at each point, these perpendiculars would be equal in length on both sides. This reflection transformation is an example of a linear transformation, preserving the straightness of lines and parallelism of parallel lines.
During bowling practice, Marley rolled 14 strikes out of 70 attempts. What percent of Marley’s attempts were strikes?
Answer:
No, the correct answer should be 20 percent!
Step-by-step explanation:
14 divided by 70 = 0.2, which equals to 20%
Percentage of Marley's attempts were strikes = 20%
Step-by-step explanation:
Given :
Marley rolled 14 strikes.
Total attempts of Marley = 70
Calculation :
Percentage of Marley's attempts were strikes is
[tex]= \dfrac {14 \times 100}{70}[/tex]
= 20 %
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Choose all the answers that apply.
The greenhouse effect is:
a) slowly increasing global temperature
b) caused when atmospheric gases trap heat
c) melting the polar ice caps
d) slowly increasing sea levels
e) increasing because of carbon dioxide emissions
Answer:
The greenhouse effect is the process by which radiation from a planet's atmosphere warms the planet's surface to a temperature above what it would be without this atmosphere.So following options are correct options
slowly increasing global temperaturecaused when atmospheric gases trap heatincreasing because of carbon dioxide emissionsAnswer:
A - slowly increasing global temperature
B - caused when atmospheric gases trap heat
E - increasing because of carbon dioxide emissions
Step-by-step explanation:
this is algabra 1 i need 7,13, and 14
What is the value of x?
Estella buys 1.8 pounds of walnuts for a total of $5.04. She solves the equation 1.8p=5.04 to find the price p in dollars of one pound of walnuts. what does one pound of walnuts cost?
1.8p = 5.04
p = 5.04/1.8
p = 2.8
it cost $2.80 per pound
Estella buys 1.8 pounds of walnuts for a total of $5.04. She solves the equation 1.8p=5.04 to find the price p in dollars of one pound of walnuts. what does one pound of walnuts cost?
Solution: Let the cost of one pound of walnuts= $p
So, The cost of 1.8 pound of walnuts=$1.8p
Whereas, The cost of 1.8 pound of walnuts=$5.04
So, 1.8p=5.04
Now, To solve for p, Let us isolate p
To isolate p, Let us divide by 1.8 on both sides
[tex] \frac{1.8}{1.8} p=\frac{5.04}{1.8} [/tex]
On dividing 5.04 by 1.8, we get 2.8
[tex] \frac{1}{1} p=\frac{2.8}{1} [/tex]
So, p=2.8
Cost of one pound walnuts is $2.80
<1 and <2 are complementary angles. m <1=52 what is the measurement id <2?
I need answer ASAP!
During the month of June, Ava kept track of the number of days she saw birds in her garden.she saw birds on 18 days of the month. what is the experimental probability that she will see birds in her garden on july 1?
Choose the best description for the real number 34 over 3.
Irrational, because it is a fraction
Irrational, because it is a repeating decimal
Rational, because it is a fraction
Rational, because it is a terminating decimal
Answer: The correct option is
(C) Rational, because it is a fraction.
Step-by-step explanation: We are given to choose the best description for the real number 34 over 3.
The given real number can be written as :
[tex]f=\dfrac{34}{3}.[/tex]
We know that
a number of the form [tex]\dfrac{p}{q},~q\neq 0[/tex] is a rational number. That is, a fraction with non zero denominator is a rational number.
Since the given number can be written as a fraction, so it is a rational number.
Thus, option (C) is CORRECT.
Answer:
c
Step-by-step explanation:
A set of cards contains the numbers 1 through 20. Mathieu chooses a card a random, records the number of the card, and then returns the card to the set. He conducts 200 trials of this event. Based on the theoretical probability, how many times can Mathieu expect to choose a multiple of 5?
Answer: There are 40 times that Mathieu can expect to choose a multiple of 5.
Step-by-step explanation:
Since we have given that
Numbers between 1 to 20 = 20
Numbers which are divisible by 5 = 4
i.e. {5,10,15,20}
So, Probability that getting a number divisible by 5 is given by
[tex]\dfrac{4}{20}=\dfrac{1}{5}[/tex]
If the number of trials = 200
Then, Number of times Mathieu expect to choose a multiple of 5 is given by
[tex]\dfrac{1}{5}\times 200\\\\=40[/tex]
Hence, there are 40 times that Mathieu can expect to choose a multiple of 5.
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How many 1-inch cubes do you need to create a cube with an edge length of 7 inches?
A six sides dice rolls twice. What is the probability that the first roll is a even number and the second roll is a number greater than 4?
A highway speed monitor is located on the side of the road that has a speed limit of 45 mph. The system records the speeds of passing vehicles. The data below shows the speeds of the first 9 cars that pass. 46 56 45 44 45 61 55 53 39 What is the standard deviation, to the nearest tenth, based on the posted speed limit, 45 mph? a0 The tenth car traveling on this road breaks down and is being pushed by its owners as it passes the speed monitor. A speed of 1.5 mph is recorded. The measure of central tendency most affected by this tenth speed is the a1 What is the new standard deviation, to the nearest tenth, after the tenth speed is recorded? a2
Answer:
a0 - 8.0
a1 - mean
a2 - 15.7
You are working as an apprentice for the bksb Newcastle Arena.
An indoor sport exhibition is coming to the arena. Your supervisor has asked you to help set up a handball pitch and seating area as shown in the plan view below..
Use the following formulae:
Perimeter of a rectangle = 2l + 2w
Circumference of a circle = πd
π = 3.14
Area of a rectangle = lw
Area of a circle = πr²
What is the total perimeter of the pitch and seating area?
m
What is the total area of the pitch and seating area?
m2
Sean is raising funds for an event at his school. He has collected $25 each from x people, and he is still $100 short of his goal.
The expression that gives his goal is
Mr Nickelson tells the class that they double the least common denominator for 1/2 3/5 and 9/15 to find the number of the day what number is the number of the day
Given fractions are [tex] \frac{1}{2} ,\frac{3}{5} ,\frac{9}{15} [/tex]
To find the least common denominators of the given fractions, we need to find the least common multiple (L.C.M.) of the numbers given in denominators i.e. 2, 5, and 15.
Finding the LCM of 2, 5, and 15 :-
2 = 1 x 2
5 = 1 x 5
15 = 3 x 5
So least common multiple of 2, 5, and 15 would be (1 x 2 x 3 x 5) = 30.
Hence, common denominator would be 30.
The teacher tells us to double the common denominator to find the answer that is the number of the day.
So we need to double the value of common denominator i.e. 2 x 30 = 60.
It means that 60 is the number of the day.
Hence, 60 is the final answer.
The number of the day is 4.
Explanation:Least common denominator for 1/2 3/5 and 9/15
To find the least common denominator (LCD) for fractions, we need to find the smallest multiple that is common to all the denominators.
For 1/2, 3/5, and 9/15, the denominators are 2, 5, and 15 respectively.
To find the LCD, we need to double the smallest denominator, which is 2, resulting in an LCD of 4.
Therefore, the number of the day is 4.
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