Step-by-step explanation:
Side length = √Area = √(36x¹⁶y⁴)
= √[(6x⁸y²)²] = 6x⁸y².
Hence the expression for side length is 6x⁸y².
The length of the side of the table top will be 6x⁴y².
Based on the information given, it was stated that the area of the table top was given in the question.
It should be noted that the area of a square is gotten by squaring the sides. Therefore, the length of the side of the square will be 6x⁴y².
Learn more about squares on:
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Pls help I’ll brainlest
Question 1
If the diameter of a circle is 5 meters, what is the circle's radius, in meters?
Answer:
2.5
Step-by-step explanation:
The radius is half of the diameter. 5 / 2 = 2.5
Answer:
2.5
Step-by-step explanation:
radius = Diameter ÷ 2
We plug the diameter value that we know
radius = 5 ÷ 2
Then Solve
5 ÷ 2 = 2.5
Done!
Remember diameter divided by two = the radius
Why? Because one radius is equivalent to 1 half. So we need two halves to form one full.
The diameter is the size of the full length which is why it is divided by two in order to form two halves!
Hope This Helps
If the function r(x) = f(x + 5), how can the graph of the function
r(x) be obtained from the graph of f(x)?
A. By translating the graph of f(x) five units to the right
B. By translating the graph of f(x) five units to the up
C. By translating the graph of f(x) five units to the left
D. By translating the graph of f(x) five units to the down
Answer:
letter b
Step-by-step explanation:
Which of the following methods can be used to find the derivative of y = arcsin x with respect to z ?
|. Use the quotient rule to differentiate
II. Use the chain rule to differentiate sin(arcsin x) = 2.
III. Use implicit differentiation to differentiate the function y in the relation sin y = x with respect to z.
A) I only
B) Ill only
C) II and III only
D) I, II, and III
Answer:
B) Ill only
Step-by-step explanation:
This is because y = arcsin x can be re-written as sin y = x, We then differentiate sin y = x implicitly with respect to z to obtain
d(siny)/dz = dx/dz
(cosy)dy/dz = dx/dz
dy/dz = (1/cosy)dx/dz
Find 4/9 of 6:9 in simplest form
Answer:Change values to whole numbers.
Convert any mixed numbers to fractions.
Convert 3 1/8
3 1/8 = 25/8
We now have:
5 : 3 1/8 = 5 : 25/8
Convert the whole number 5 to a fraction with 1 in the denominator.
We then have:
5 : 3 1/8 = 5/1 : 25/8
Convert fractions to integers by eliminating the denominators.
Our two fractions have unlike denominators so we find the Least Common Denominator and rewrite our fractions as necessary with the common denominator
LCD(5/1, 25/8) = 8
We now have:
5 : 3 1/8 = 40/8 : 25/8
Our two fractions now have like denominators so we can multiply both by 8 to eliminate the denominators.
We then have:
5 : 3 1/8 = 40 : 25
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 40 and 25 is 5
Divide both terms by the GCF, 5:
40 ÷ 5 = 8
25 ÷ 5 = 5
The ratio 40 : 25 can be reduced to lowest terms by dividing both terms by the GCF = 5 :
40 : 25 = 8 : 5
Therefore:
5 : 3 1/8 = 8 : 5
Step-by-step explanation:
i really need help with these statistics questions! thank you!
Answer:
a.) T b.) T
Step-by-step explanation:
PLEASE HELP I PUT IT FOR 40 PIONTSSSSSSSS
Answer:
its only 20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Multiplying intergers practice look at pic
Since you already know how to multiply, how you do this is when you see a negative sign your answer will come out as positive, and if there's no negative sign then your answer is positive. If there's 2 negative signs then your answer is positive.
(+)(+) = positive
(-)(+) = negative
(-)(-) = negative
please i need your help?
9514 1404 393
Answer:
(15, 0) = (movies, games)
Step-by-step explanation:
If the goal is to purchase as many items as possible, that is best reached by spending all of the money on the least-expensive items. Purchase of 15 movies (at $20 each) will do what Lane wants.
(movies, games) = (15, 0)
__
The graph shows that answer choice (12, 4) is not in the solution set.
At Grocery Mart, tomatoes are $2.75 per pound, or you can buy a 5
pound box for $11.
a) What is the unit price for the first tomato option?
b) What is the unit price for the second tomato option?
c) Based on price, which is the better value option?
HELP ME PLEASE ITS TIMEDDDD
Answer:
a) $2.75
b) $2.2
c) Second tomato option is better value option.
Step-by-step explanation:
First option to buy tomatoes = $2.75 per pound
Second option to buy tomatoes:
To buy a box which is a 5 pound box and the price is $11.
To find:
a) Unit price for the first tomato option.
b) Unit price for the second tomato option.
c) Better value option on the basis of price.
Solution:
Let the consider the unit here to be a pound.
So, we will find the price of tomato per pound to find the unit price of tomato.
a) Unit price of the first tomato option is : $2.75 per pound
b) Unit price of the second tomato option:
Price for 5 pounds = $11
Dividing both sides with 5 to find the price of 1 pound or unit price.
Price for [tex]\frac{5}{5}[/tex] = 1 pound = [tex]\frac{\$11}5 = \$2.2[/tex]
c) To find the better value option, we can compare the unit prices of the two tomato options.
Here, we have the two tomato options with unit prices as:
$2.75 and $2.2
Second tomato option has a lower unit price, therefore, second option is better value option on the basis of price.
Please help me I need to pass
Answer:
option C is the correct answer
Write the exponent for the expression.
4x4
Answer: 4²
Explanation: First, we count the number of 4's to
find that we have 2 factors of 4.
So to write this problem in exponential form, we use a base
of 4 and an exponent of 2 which can be read as "4 to the 2nd power."
Answer:
4×4×4=64 to the power of 3=64
Peter is typing an essay for his science class. The essay needs to be 8,100 words long. Peter can type 25 words per minute. If Peter has 600 words typed so far, how many hours will it take for Peter to finish typing the essay
Answer:
5 hours or 300 minutes
Step-by-step explanation:
If Peter has already written 600 words, he has 7,500 words left to write. If he can write 25 words per minute, it will take 300 minutes for him to finish because 7,500/25=300. 300 minutes can be converted to 5 hours.
The graph shows the cereal consumption by Daniel's family. Which is the unit rate of
the proportional relationship shown in the graph?
Answer:1/5
Step-by-step explanation:
It’s goes 1/5 per time
Two slices of Dan's famous pizza have 250 calories.
How many calories are in 5 slices of pizza?
A. 620
B. 625
C. 630
D. 635
Answer:
625
Step-by-step explanation:
250 divided by 2 to figure out how many calories in each piece, then you get 125 and muliply it by 5!
The school store sells yellow pencils, green pencils and red pencils. There are ten pencils of each color in a container. Tracy picks one pencil
from the container without looking.
What is the probability that she picks a green pencil?
A. 1/30
B. 1/10
C. 1/3
D. 3/3
E. 3/1
Answer:
Step-by-step explanation:
Total pencils = 10 + 10 + 10 = 30 pencils
Option A 1/30 is the correct answer
I am about to take a 2020-2021 math grade 5 unit 2 part 2 assessment what should i do?
Answer:
You should study for about 30-60 minutes and make sure your somewhere quite so you can focus. While you take your assessment you want water, and maybe some gum.
Norman has $15 in his wallet which is 20% of the total amount of money he owns. How much
money does Norman have in total? (Create a linear model if needed.)
A car travels 450km at 100km/h and 90km at 60km/h. Find its average speed?
Answer:
Average speed = 90 km/h
Step-by-step explanation:
Given that:
Distance covered at 100 km/h = 450 km
Time = [tex]\frac{Distance}{Speed}[/tex]
Time = [tex]\frac{450}{100}=4.5\ hours[/tex]
Distance covered at 60 km/h = 90 km
Time = [tex]\frac{90}{60}=1.5\ hours[/tex]
Total distance travelled = 450 + 90 = 540 km
Total time taken = 4.5 + 1.5 = 6 hours
Average speed = [tex]\frac{Total\ distance}{Total\ time}[/tex]
Average speed = [tex]\frac{540}{6}[/tex]
Average speed = 90 km/hr
Hence,
Average speed = 90 km/h
The variables y and x have a proportional relationship, and y = 12 when x = 5. What is the value of y when x = 8? Enter your answer as a decimal in the box. y =
Answer:
the answer is 19.2
The larger of two numbers is 10 more than three times the smaller number the sum of the two numbers is 54 find the two numbers
Answer:
x = 11
y = 43
Step-by-step explanation:
x = small number
y = large number
Set up a system of equations:
y = 10 + 3x
x + y = 54
Solve system by substitution: x + 10 + 3x = 54
4x + 10 = 54
4x = 44
x = 11
x + y = 54
11 + y = 54
y = 54 - 11
y = 43
Item 2
Solve.
52 – 2x = 4
–28
–24
24
28
Answer:
24
Step-by-step explanation:
52-2x=4 (move the constant to the right)
-2x=4-52 (calculate)
-2x=-48 (divide both sides)
solution: 24
hope this helps!
PLEASE ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!
Yesterday, I put 10 gallons of gas in my car and I paid $30. A couple hours after, I went back to the gas station with my dad’s car and I put 6 gallons and I paid $18.
Two lines that have the same y intercept, are always the same line.
TRUE OR FALSE?
Ok Billy needs 90 lbs of garden soil to landscape a building. In the company storage area, he finds 2 cases holding 24 3/4 soil each, and a third case holding 19 3/8 lb. How much gardening does Bill still need in oder to do the job?
Answer:
1/3
Step-by-step explanation:
one number is 11 more than another number. find the two number if three times the larger number exceeds four times the smaller number by 4
Answer:
29
Step-by-step explanation:
n = smaller number
n + 11 = larger number
3(n + 11) = 4n + 4
3n + 33 = 4n + 4
33 = n + 4
29 = n
I forgot how to do these types of problems..
A cyclist rides his bike at a speed of 27 miles per hour. What is this speed in feet per second? How many feet will the cyclist travel in 10 seconds? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answers.
please answer all four pleaseee on the file its 100 points plzz answer it asap I also give brainliest
Answer:
Gene then pouts
Step-by-step explanation:
Consider the function f(x)=x^3+7. What is the inverse of f(x)?
Step-by-step explanation:
f(x)=x^3+7
y=x^3+7
x=y^3+7
y^3=x-7
y=cube root (x-7)
f(x) inverse=cube root of x-7
The inverse function of the given function is [tex]y=\sqrt[3]{(x-7)}[/tex].
The given function is f(x)=x³+7.
What is the inverse function?Inverse function is represented by [tex]f^{-1[/tex] with regards to the original function [tex]f[/tex] and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.
Now, f(x)=x³+7 can be written as y=x³+7
⇒ x=y³+7
⇒ y³=x-7
⇒ [tex]y=\sqrt[3]{(x-7)}[/tex]
Therefore, the inverse function of the given function is [tex]y=\sqrt[3]{(x-7)}[/tex].
To learn more about the inverse function visit:
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which of the following statements are true about the points (5,3) and (5,-3) is true
A. is in the same quadrant
B. is a reflection of each other over the y-axis
D. is a reflection of each other over the x-axis
C. reflections over both axis
Answer:
we can say that the points are reflection of each other over the x-axis.
Option D is correct option.
Step-by-step explanation:
We need to find which of the following statements are true about the points (5,3) and (5,-3) is true.
We are given a point (5,3)
and other point (5,-3)
We know that refection over x-axis states that the value of y-coordinate will be negated while x-coordinate value remain same.
In our case, first point (5,3) the coordinates are: x=5, y=3
The other point (5,-3) the coordinates are: x=5, y=-3
The x-coordinate value remains same while, y-coordinate value is negated (negative)
So, we can say that the points are reflection of each other over the x-axis.
Option D is correct option.
Answer: Option D is the correct option.
Step-by-step explanation:
We need to find which of the following statements are true about points (5,3) and (5,-3) is accurate.
We are given a point (5,3)
and another point (5,-3)
We know that reflection over the x-axis states that the value of the y-coordinate will be negated while the x-coordinate value remains the same.
In our case, for the first point (5,3) the coordinates are x=5, y=3
The other point (5,-3) the coordinates are: x=5, y=-3
The x-coordinate value remains the same while, the y-coordinate value is negated (negative)
So, we can say that the points are reflections of each other over the x-axis.