Answer:
13u√2u
Step-by-step explanation:
Remark
Removing factors from under the square root sign means factoring the numbers into prime factors. If there are an even number of equal prime factors, take one out and throw one away for all the primes that are the same. An odd number of factors always leaves 1 under the root sign.
For example
u^3 = u * u * u
One of the u's will be left behind. Of the two others, one will be discarded and one will be taken outside the root sign.
√u^3 = √(u * u * u) = u√u
one u taken out. 1 u left behind 1 u discarded.Question Breakdown
8√72u^3 = 8√2*2*2*3*3 u^3 = 8* 2*3 * u * √2u = 48u*√2u7√128u^3 = 7√(2*2*2*2*2*2*2 u^3) = 7*2*2*2 √2u = 56u√2u3u*√98u = 3u * √(7*7 * 2*u) = 21u√2uAnswer
48u√2u - 56√2u + 21u√2u
13u√2u
claire is writing a report about kangaroos. the report must be two full pages. if she can fit 20 lines on each page with about 20 words per line, approximately how many words in all will claires report be?
Answer:
800
Step-by-step explanation:
20 lines per page with 20 words per line means 400 words per page
2 pages means 400 x 2 which is 800 words
A baby fish was 1.5 centimeters in length when it first hatched . The fish grew at a rate of 0.25 centimeter per week.
Which graph best shows this relationship between the length of the fish in centimeters , y, and the time in weeks, x?
If you think about I would suggest B only because it makes more sense but I might be wrong..
Hope this helped a little!
The solution is Option A.
The equation of line is y = 0.25x + 1.5 , where the slope m = 0.25
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
The initial length of the baby fish is b = 1.5 cm
The baby fish grew at a rate of 0.25 centimeter per week
So , the slope of the line m = 0.25 cm
And , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
Substituting the values in the equation , we get
y = 0.25x + 1.5 be equation (1)
Hence , the equation of line is y = 0.25x + 1.5
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For the function g(x) = 10 VX-2, what is the inverse function?
o pr}(X) = 7+2
O q'(x) = -2
O 0760) = (+)+2
O 011(x) = (+) --
Answer:
[tex]g'(x) = \frac{x^2}{100} +2[/tex]
Step-by-step explanation:
Given
[tex]g(x) = 10\sqrt{x - 2[/tex]
Required
Determine the inverse function
[tex]g(x) = 10\sqrt{x - 2[/tex]
Replace g(x) with y
[tex]y = 10\sqrt{x -2[/tex]
Swap the positions of x and y
[tex]x = 10\sqrt{y -2[/tex]
Divide through by 10
[tex]\frac{x}{10} = \sqrt{y - 2[/tex]
Square of both sides
[tex]\frac{x^2}{100} = y - 2[/tex]
Make y the subject
[tex]y = \frac{x^2}{100} +2[/tex]
Replace y with g'(x)
[tex]g'(x) = \frac{x^2}{100} +2[/tex]
Hence, the inverse function is: [tex]g'(x) = \frac{x^2}{100} +2[/tex]
The radius of a cylindrical construction pipe is 1.5 ft. If the pipe is 17 ft long, what is the volume?
Use the value 3.14 for π and round your answer to the nearest whole number.
Answer:
120.105 square feet.
Step-by-step explanation:
Given that the radius of a cylindrical construction pipe is 1.5 ft, to determine its volume, given that the pipe is 17 ft long, the following calculation must be performed, knowing that the volume of a cylinder arises from multiplying the number pi by the radius at square of the cylinder, and that result by the height of it:
(3.14 x (1.5^2)) x 17 = X
(3.14 x 2.25) x 17 = X
7.065 x 17 = X
120.105 = X
Thus, the volume of the cylinder is 120.105 square feet.
Solve the quadratic equation 2x2 = 5x + 9. <33 please besties
Answer:x=-1
Step-by-step explanation:
Determine whether the point (7,4) is on the circle, or inside or outside the circle x^2+y^2=62
Answer:
Outside.
Step-by-step explanation:
7^2 + 4^2 = 62
65 does not equal 62 so outside of the circle.
answer this please thanks
Answer:
4. c
6. e, a
Step-by-step explanation:
Hopefully, it correct
A rectangular playing field at a scale of 1:1000, 100m
Answer:
0.1
Step-by-step explanation:
1cm:1000cm
100m=10000cm
so if 1cm=1000cm what about 10000cm
=0.1
What is this number in standard form? (5×1,000)+(9×1)+(2×1/10)+(6×1/1,000)
Answer:
5009.206
Step-by-step explanation:
The answer is 5009.206. We see that the first portion of this question asks, "(5×1,000)+(9×1)". 5x1000 is 5000. 9x1 is 9. 5000+9= 5009. The second portion of this question asks for the numbers that go after the decimal. 2x1/10 is 2/10. 6x1/1000 is 6/1000. The decimal place stands for one. So we do .206. If the decimal stands for ones that means in this case the 2 is in the tenths place (like it should be since the question asks for 2/10) and the 6 is in the 1000 place (like it should be since the question asks for 6/1000). We add this up together and our answer is 5009.206. Hope this explanation helps! Happy learning!
Quick!! Find the area of the composite figure
Answer:
560 sq ft
Step-by-step explanation:
Let's start with the rectangle
20 x 24 =
2(24) * 10 =
48 * 10 = 480
Now the triangle
8 x 1/2(20 = 8x10 = 80
480 + 80 = 560 sq ft
If my answer is incorrect, pls correct me!
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-Chetan K
There are twice as many girls as there are boys in the chess club. If there are 18 girls in the club, how many boys are in the club?
I mark brainliest by today
#3 please Question Is in the photo above please help me extra points will be given
Answer:
the answer to the problem is d
377?.378f5885246799448855
Answer:
Wwhatwhatwhatwhatwhat
Step-by-step explanation:
Answer:
What?
Step-by-step explanation:
You must have smacked your keyboard
377?.378f5885246799448855
Complete the equation of this circle :
Answer:
-2 , 4 , 36Step-by-step explanation:
[tex](x - -2)^{2} + (y - 4)^{2}[/tex]
[tex](x + 2)^{2} + (y - 4)^{2} =36[/tex]
The equation of the circle with a radius of 6 and center (-3, 4) is (x + 3)² + (y - 4)² = 36.
The equation of a circle with radius r and center (h, k) is given by:
(x - h)² + (y - k)² = r²
Radius (r) = 6
Center (h, k) = (-3, 4)
Plugging these values into the equation, we have:
(x - (-3))² + (y - 4)² = 6²
(x + 3)² + (y - 4)² = 36
Therefore, the equation of the circle with a radius of 6 and center (-3, 4) is (x + 3)² + (y - 4)² = 36.
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Please help! What is the volume? Answer and explanation please! <3 (No links please..)
V = ____ pi inches cubed
9514 1404 393
Answer:
562.5π in³
Step-by-step explanation:
The volume of a sphere is given by the formula ...
V = 4/3πr³
where r is the radius, half the diameter.
V = (4/3)π(7.5 in)³ = 562.5π in³
What is the volume, in cubic centimeters, of a cube with an edge length of 15 centimeters?
Answer:
3375cm
Step-by-step explanation:
because it is asking for volume it is cubed
wich 15 x 15 x 15 3 times equals volume of cube hope that makes sense
An item originally costs $49.95 and is on sale for 33% off the original price. The sales tax is 5.75%. Find the cost of the item.
Answer:
$35.39
Step-by-step explanation:
A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours. On three recent production batches, he tested service life on random samples of four headlamps, with these results SampleService Life (hours) 1495500505500 2525515505515 3470480460470 If he uses upper and lower control limits of 520 and 480 hours, on what sample(s) (if any) does service life appear to be out of control
Answer:
Sample number 3
Step-by-step explanation:
From the given information:
Sample Service life(hours) Total Mean(X)
1 2 3 4
1 495 500 505 500 2000 500
2 525 515 505 515 2060 515
3 470 480 460 470 1880 470
Total = [tex]\text{addition \ of \ numbers \ of \ observations}[/tex]
Mean = [tex]\dfrac{\text{addition \ of \ numbers \ of \ observations}}{4}[/tex]
Thus;
[tex]UCL = \mu+x = 500 + 20 = 520\\ \\ LCL= \mu -x = 500 -20 =480[/tex]
To plot on an X_Bar chart, we have:
Sample Mean (X) UCL LCL
1 500 520 480
5 515 520 480
6 470 520 480
The x-Bar chart is shown in the image attached below. From the image, we realize that the average service life for sample number 3 occurs to be out of the statistical control.
WILL MAKE BRAINLIEST
write the slope intercept form of the equation of each line
Answer:
1) D) y = 2x+3
2) B) y = -3/2(x)-5
Step-by-step explanation:
-7x-13 >(or equal) 8
Answer:
x ≤-3
Step-by-step explanation:
9. The sum of 10 and 7 times a number is 59. What is the
number? (Use n as the variable.)
Answer:
7Step-by-step explanation:
Let,
The number be = n
According to the question,
First 7 times of n = 7n
Sum of 10 and the number = 7n + 10
Said that,
The sum of 10 and 7 times of the number is 59.
Therefore,
By the problem ,
=> 7n + 10 = 59
=> 7n = 59 - 10
=> 7n = 49
[tex] = > n = \frac{49}{7} [/tex]
=> n = 7
Hence,
The required number is 7 (Ans)
The area of a triangle is 36 m2 and the height is 9 m. What is the length of the corresponding base?
Answer:
base = 8 m
Step-by-step explanation:
base = (2* area) ÷ height
[tex]= \frac{2*36}{9}[/tex]
= 2 * 4
= 8 m
A triangular prism has faces.
Answer:
5
Step-by-step explanation:
Answer:
The answer above is correct, a triangular prism has 5 faces.
Step-by-step explanation:
Count the faces that it has.
A city has the population of 210,000 people. Suppose that each year the population grows by 7.5%. What will the population be after 13 years?
Answer:
6 5
Step-by-step explanation:
4 5 6 7
add 8 and 17, double the sum, and then subtract three
Answer:
Hello There!!
Step-by-step explanation:
The answer is 47 as (18+7)×2-3=47.
hope this helps,have a great day!!
~Pinky~
An expression is defined as a set of numbers, variables, and mathematical operations. The solution for the statement "add 8 and 17, double the sum, and then subtract three" is 47.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The solution for the statement "add 8 and 17, double the sum, and then subtract three" can be done as,
2(8+17) - 3
= 47
Hence, The solution for the statement "add 8 and 17, double the sum, and then subtract three" is 47.
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whats the absolute value of 23
Answer:
-23
Step-by-step explanation:
You are surveying students to find out their opinion of the quality of food served in the school cafeteria. Which of the following samples would be random?
Answer:
aint random
Step-by-step explanation:
The sample is not random. For being a random sample opinion of all the students must be taken whether they are eating hot lunch or not.
What is a Random Sample?A random sample is a subset of a statistical population where "each subset member has the same probability of being picked". A random sample is meant to accurately reflect a group of people.
Random sampling is used in science to conduct blinded studies or randomized control testing.
This sample cannot be called a random sample. This is because a "random sample is an unbiased representation of the group and here we have not taken the opinions of the students who don’t eat hot lunch". So this sample can’t be a random one.
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Which of the following is an equation?
Answer:
B) y/9 = 3
Step-by-step explanation:
What makes an equation is that two things are equal. It consists of two expressions, one on each side of an 'equals' sign.
Only choice B does that
Solve using the substitution method:
6x + y =15
4x + 3y = 31
Answer:
the answers to this are x= 1 and y= 9
Need the answer fast
Answer:
97
Step-by-step explanation:
hope this helps :)