Answer:
1. True
2. True
Step-by-step explanation:
Counter clockwise is in the opposite direction that the clock hands move, therefore, both Answers are true.
hope this helped :)
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]
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
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)
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
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
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.
To learn more about an arithmetic sequence visit:
https://brainly.com/question/10396151.
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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
which graph showed exponential growth
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.
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
PLZ HELP ASAP it’s due by midnight
Solve for x.
-5/6x-1/9x=-102
x = ______?
Answer:x=1/108 is your answer
-5/6x-1/9x=-102
1/x(-5/6-1/9)=-102
1/x=-102/(-17/18)=-102×-18/17=108
x=1/108
Answer:
X= 108 100%
Step-by-step explanation:
can you answer my history question its worth 50 points
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.
To learn more about the scale factor visit:
https://brainly.com/question/22312172.
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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].
Which expression is equivalent to 10^4/5^4 ?
Answers:
a) 1/2^-4,
b) 2^0,
c) 1/2^4,
d) 2
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:
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
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
Ashley spent 30% less buying her English reading book than Tommy. Gianna spent 9% less than Tommy. Gianna spent more than Ashley by what percent.
Answer:
Gianna spent 21% more
Step-by-step explanation:
30-9=21
which number is an integer? 6 4.2 3/4 5 1/2
Answer:
5, 6
Step-by-step explanation :
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
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
one fourth of two thirds
What is that in Verbal expression fractions
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:
2 + 6m + 7 = 57
full answer no words pls i just wanna copy and paste
Answer:
8
Step-by-step explanation:
2+6m+7=57
6m=57-7-2
6m=50-2
6m=48
m=48/6
m=8
Answer:
= 8
Step-by-step explanation:
Brainliest?
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)?
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?
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
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
Peanuts are priced at 3.38 per pound. Derek buys a sack of peanuts for 15.82. Which measurement is a reasonable estimate of the weight of the peanuts that are in the sack?
Given :
Price per pound of peanuts is, P = $3.38 .
Derek buys a sack of peanuts for $15.82.
To Find :
The weight of the peanuts that are in the sack.
Solution :
Let, weight of peanuts that are in the sack are x.
So, [tex]x = \dfrac{15.82}{3.38}\\\\x = 4.68\ pounds[/tex]
Therefore, number of pounds in the sack is 4.68 pounds.