Find the volume of a cylinder with a height of 6 cm and a radius of 3 cm.
3 cm
8 cm
A. 36 77 cm3
B. 54 77 cm3
C. 108 77 cm3
D. 18 TT cm3
Answer:
B
Volume of cylinder is [tex]\pi r^2*h[/tex]
Can someone please explain how to simplify expressions that have negative and positive exponents
Answer:
see below, I hope it's helpful
Step-by-step explanation:
Simplifying expressions...
1. use as many steps as you need, don't take shortcuts or try to do too much in one step... only touch each item in the expression once at most at each step
2. Follow PEMDAS
3. consider some of the rules of exponents: (a/b)^n = (a^n)/(b^n) and (x)^(-n) = 1/(x^n) and a^(b^c) = a^(bc)
examples x^(-4) = 1/(x^4)
3^(-x) = 1/(3^x)
(2/x)^(-n) = (1/(2/x))^n = (x/2)^n
2^(-x^3) = 2^(-3x) = 1/(2^3x)
so for example
2^(-x) - (x)^(-n) + (-n)^(x^(-2)) touch each part only once, do what you can
1/(2^x) - 1/(x^n) + (-n)^(-2x) the third part needed two steps, so be it
1/(x^n) - 1/(x^n) + (1/((-n)^2x)
Use the square root property to solve: 5x^2+8 =133
Please help
Answer:
x = ± 5Step-by-step explanation:
See the steps
5x^2+8 = 1335x^2 = 133 - 85x^2 = 125x^2 = 125/5x^2 = 25√x² = √25x = ± 5Answer:
x=5
x=−5
Step-by-step explanation:
5x^2+8 =133
Subtract 8 from both sides.
5x^2=133−8
Subtract 8 from 133 to get 125.
5x^2=125
Divide both sides by 5.
x^2=125/5
Divide 125 by 5 to get 25.
x^2=25
Take the square root of both sides of the equation.
x=5
x=−5
a gazelle can run away from a cheetah with a speed of 35.0 m/s. if the average gazelle has a mass of 40.00 kg, what is the gazelles kinetic energy,in kilojoules?HELPPP
9514 1404 393
Answer:
24.5 kJ
Step-by-step explanation:
Kinetic energy is given by the formula ...
KE = 1/2mv² . . . . . where m = mass
The gazelle's kinetic energy is ...
KE = 1/2(40 kg)(35 m/s)² . . . . . where m is meters
= 24,500 J . . . . . . 1 J = 1 kg·m²/s²
= 24.5 kJ . . . . . . . 1000 J = 1 kJ
A triangle is dilated by a scale factor of 1/5 and then rotated 90 degrees clockwise about the origin. Why is the image similar to the pre-image? Check all that apply
1. The corresponding sides of the triangles are congruent
2. The corresponding angles of the triangles are congruent
3. The corresponding sides of the image are 5 times as long as those of the pre-image
4. The image is a reduction of the pre-image
5. Neither the dilation nor the rotation change the shape of the triangle
6. The rotation reduces the size of the triangle
Please hurry, thank you!
Answer
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle
Explanation:
For shapes to be similar:
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape
Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes
Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides
2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles
3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image
4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced
5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)
6- The rotation reduces the size of the triangle:
This option is incorrect as rotation does not alter the size of the shape. It only changes its position
Hope this helps :)
Options 2, 4 and 5 are the correct answer.
Given that, a triangle is dilated by a scale factor of 1/5 and then rotated 90 degrees clockwise about the origin.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes
Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides.
2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles.
3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image.
4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced.
5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths).
6- The rotation reduces the size of the triangle:
This option is incorrect as rotation does not alter the size of the shape. It only changes its position.
Therefore, options 2, 4 and 5 are the correct answer.
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which number is an integer? 6 4.2 3/4 5 1/2
Answer:
5, 6
Step-by-step explanation :
A bookshop has an offer.
"Buy one book and get one free!"
Ria gets 8 books from the shop with that offer.
The normal price of each book is £5.99.
How much does Ria spend?
The sum of four consecutive integers is 170. Write an equation that can be used to find the smallest integer.
Answer:
The Equation to find the smallest integer =
4x + 6 = 170
The smallest integer = First integer = x = 41
Step-by-step explanation:
Four consecutive integers is represented by:
First Integer = x
Second Integer = x + 1
Third Integer = x + 2
Fourth Integer = x + 3
The sum of four consecutive integers is 170.
x + x + 1 + x + 2 + x + 3 = 170
The Equation to find the smallest integer =
4x + 6 = 170
4x = 170 - 6
4x = 164
x = 164/4
x = 41
Therefore:
The Equation to find the smallest integer =
4x + 6 = 170
The smallest integer = First integer = x = 41
stop saying yall gon help me and not help me......
but anyays can sum1 go to meh acc nd help pls ill give brainlist
Answer:
Sure thing. Which question do you need help with? ill do the best i can.
PLZ HELP ASAP it’s due by midnight
which graph showed exponential growth
8. Find the slope of the line that contains the
following points:
b. (6, -2) and (-3, 1).
Answer:
slope = [tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
1) Find the slope with the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] (in which [tex]m[/tex] represents the slope). The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. Thus, substitute the x and y values of the given points (6, -2) and (-3, 1) into the appropriate places in the formula and solve:
[tex]m = \frac{(1)-(-2)}{(-3)-(6)} \\m = \frac{1+2}{-3-6} \\m = \frac{3}{-9} \\m = -\frac{1}{3 }[/tex]
Thus, the slope is [tex]-\frac{1}{3}[/tex].
The graph of a linear system is shown. y oo D ONUR 1 کلو -545 -4 -3 -2 -11 1 2 3 4 5 6 7 8 9 10 What is the solution to this linear system? Enter a value in each box to create an ordered pair.
Answer:
(2,7)
Step-by-step explanation:
4(-2x-7) use distributive property to expand it
Answer:
-8x-28 is after the distributive prop simplified
Step-by-step explanation:
4(-2x-7)
(4×-2x)-(4×-7)= -8x-28
Geometry 3 help please
Answer:
Ok its A= x +4 because that its lower than the other one so since its lower it will be better
PLEASEEE HELP PLEASEEE!!!!
Answer:
1. a) The scale factor that transform ΔKLP to ΔK'L'P' is a dilation of 3/2
b) The rule represented is that if the scale factor is larger than 1, the image formed is larger than the preimage
2. a) The scale factor of the dilation is 3/4
b) The rule represented by the dilation is a scale factor of less than 1 produces an image with a distance from a given point which is less than the distance of the preimage from the given point
Step-by-step explanation:
1. The coordinates of the triangle ΔKLP are;
K(-4, 2), L(2, 6), P(4, -6)
The coordinates of the points of triangle ΔK'L'P' are;
K'(-6, 3), L'(3, 9), P'(6, -9)
The length of segment KL = √((2 - (-4))² + (6 - 2)²) = 2·√13
The length of segment LP = √((4 - 2)² + (-6 - 6)²) = 2·√37
The length of segment KP = √((4 - (-4))² + (-6 - 2)²) = 8·√2
The length of segment K'L' = √((3 - (-6))² + (9 - 3)²) = 3·√13
The length of segment L'P' = √((6 - 3)² + (-9 - 9)²) = 3·√37
The length of segment K'P' = √((6 - (-6))² + (-9 - 3)²) = 12·√2
Therefore, K'L'/KL = 3·√13/(2·√13) = L'P'/LP = (3·√37/(2·√37)) = K'P'/KP =(12·√2/(8·√2)) = 3/2
Therefore, the scale factor that transform ΔKLP to ΔK'L'P' is a dilation of 3/2
The rule represented is that if the scale factor is larger than 1, the image formed (here ΔK'L'P') is larger than the preimage (ΔKLP)
2. The location of the preimage, W(-12, -4), the location of the image after the dilation W'(-9, -3)
Taking the origin O(0, 0), as the center of dilation, we have;
The length of the preimage W(-12, -4) from the origin = √((-12 - 0)² + (-4 - 0)²) = 4·√10
The length of the image W'(-9, -3) from the origin = √((-9 - 0)² + (-3 - 0)²) = 3·√10
Therefore, the scale factor of the dilation = W'O/WO = 3·√10/(4·√10) = 3/4
The scale factor of the dilation = 3/4
The rule represented by the dilation is that for a scale factor less than 1, the distance between the point of the image from a given point is less than the distance of the point of the preimage from the same point
I'm just learning about this help please
794.561 x 10 2
Answer:
79456.1
Step-by-step explanation:
is it 794.561 × 10(2)?
You want to get a job to earn at least $120 per week, but you can not work more than 18 hours a week. There is online work you can do that only pays $4 per hour, or you could help your uncle for $8 per hour as an apprentice repair mechanic. Is the below a possible solution? (Type your fill-in-the-blank answers).
Captionless Image
Answer:
hm the 8 per hour seems more accurate because if you multiply or divide 8 could almost get you to 120
Step-by-step explanation:
Can someone help pls
Answer:
That means the missing side length is 15
Step-by-step explanation:
We use the Pythagorean theorem to find the hypotenuse. The hypotenuse for this triangle is 17. The equation for the Pythagorean theorem is a^2 + b^2 = c^2. Our equation is x^2+64 = 289. We can now subtract 64 from both sides and get 225. The square root of 225 will be 15.
Answer:
hi
Step-by-step explanation:
[tex] {c}^{2} = {a}^{2} + {b}^{2} \\ {8}^{2} + {b}^{2} = {17}^{2} \\ {b}^{2} = {17}^{2} - {8}^{2} \\ {b}^{2} = 289 - 64 \\ {b}^{2} = 225 \\ b = \sqrt{225} \\ b = 15[/tex]
hope it helps
Have a nice day
byee
Joe has read 30% of a book. He has 14 more pages to finish. How many pages are there in the book?
Since Joe has read 30% of the book, that means that 14 pages is 70% of the book. That means that two pages equals 10%. Therefore, the book has 20 pages.
70% = 14
so 30% = 6
total pages = 14+6=20
paula is draining her fish tank. when she starts draining it, the height of the water is 33 cm. six mintues later, the height of the water is 15 cm.
If the water continues to drain at this rate until it is empty, how many total minutes will it take Paula to drain her fish tank?
yes the answer is 11 minutes
The sequence below shows a certain company's expected net worth, in millions of dollars, after 1, 2, 3, and 4 years and so on).
14.5, 13.1, 11.7, 10.3, ...
th
Which function models the n term of this sequence, for n = 1, 2, 3, 4, ...?
A f(n) = 14.5 – 1.4(n - 1)
B f(n) = 14.5+ 1.4(n - 1)
с. f(n) = 14.5 – 1.4n
D. f(n) = 14.5+ 1.4n
Answer:
the answer is f(n)=14.5−1.4n
Step-by-step explanation:
Hope this helps
The function models the n term of the given sequence is f(n)=14.5+1.4(n-1). Therefore, option B is the correct answer.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is an=a+(n-1)d
The given arithmetic sequence is 14.5, 13.1, 11.7, 10.3,....
Here, a=14.5 and d=14.5-13.1=1.4
Substitute a=14.5 and d=1.4 in an=a+(n-1)d, we get
f(n)=14.5+1.4(n-1)
The function models the n term of the given sequence is f(n)=14.5+1.4(n-1). Therefore, option B is the correct answer.
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Find the length of the third side. If necessary, write in simplest radical form
Answer:
7
Step-by-step explanation:
a squared + b squared = c squared
plug it in to get
4 root 2 squared +b squared = 9 squared
(4 root 2)(4 root 2)=32
and 9 squared is 81
so the equation is
32+b squared = 81
subtract 32
b squared = 49
square root both sides
b=7
The length of the missing side is [tex]3\sqrt{5}[/tex]
Pythagoras theorem
The square of the hypotenuse is equal to the sum of the square of the other two sides
From the given diagram;
[tex]9^2 = (4\sqrt{2} )^2 + x^2[/tex]Get the unknown side "x"
[tex]81 = 32 + x^2\\x^2 = 81 - 36\\x^2 = 45\\x = 3\sqrt{5}[/tex]
Hence the length of the missing side is [tex]3\sqrt{5}[/tex]
Learn more on pythagoras theorem here: https://brainly.com/question/343682
NEED HELP PLEASE I ONLY HAVE 3 MINUTES LEFT WILL GIVE BRAINLIEST PLS HELP
Explain the Angle Theorems and solve out the following the applications:
Answer:
Step-by-step explanation:
B =20+20 = 40
Then because the side issue B and issue C are congruent their angles are congruent so angle C = 40
A triangle is 180 total so subtract B and C to find A
A = 180-40-40 = 100
I do not remember the names of all the theorems.
please answer me its math question!
Answer:
25
Step-by-step explanation:
the angles and complementary so they add up to equal 90
90-65=25 so x = 25
Write a expression shows an expanded form of -8x^3y^2(x^2-4y)
Answer:
Step-by-step explanation:
-8x³y²(x²-4y) = -8x³y²x² + 8x³y²4y
= -8x³⁺⁵y² + 32x³y²⁺¹
= -8x⁸y² + 32x³y³
An example of the Commutative Property of Addition is ________
Answer:
Commutative property of addition: Changing the order of addends does not change the sum.
Step-by-step explanation:
For example, 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+44, plus, 2, equals, 2, plus, 4.
1. 10a - 8b C) 4a + 5b
2. 5b + 3C (-) 4b + 3C
3. 6d + 6e (-) 9d - 8e
4. 8x - 3y (-) -4x + 8y.
5. Ors – 7bc (-) 9rs – 7bc
6. 5xy - 9cs (-)-3xy + cs
7. x2 - 6x + 5 (-) 3x2– 2x – 2
Step-by-step explanation:
1)
a-13b
2) b
3) -3d+14e
4)12x-11y
5)-3rs
6)8xy-10cs
7)
[tex] - 2 {x}^{2} - 4x + 7[/tex]
8)
[tex]8 {y}^{2} - 7[/tex]
Answer:
1. 6a - 3b
2. b + 6c
3.- 3d - 2e
4. 12x + 5y
5. -3rs - 14bc
6. 8xy - 8cs
7. -2x^2 - 8x + 3
Step-by-step explanation:
Subtract polynomials
Someone help plz????
Answer:
the answer is 24.1 MM
Step-by-step explanation:
Answer:
approx. 24.1 mm squared (when rounded to the nearest 10th)
Step-by-step explanation:
Surface area of cylinder = 2πr(h+r)
plug in what we know
2π*1.2(2+1.2)
solve
approx. 24.1 mm squared
Which expression is equivalent to 10^4/5^4 ?
Answers:
a) 1/2^-4,
b) 2^0,
c) 1/2^4,
d) 2