Answer:
a = 35
Step-by-step explanation:
5/7a = 25
multiply both sides by 7:
5a = 175
divide by 5:
a = 35
Hope this helps !!!
A cylinder of clay has a radius of 6 cm and a height of 12 cm. If this clay is made into congruent cones with a radius of 3 cm and a height of 8 cm, how many cones could be made with all of the clay? Show work to support how you determined your answer.
Answer:
So we want to know how much clay did Joseph add after he built the cone. So the formula for the volume of the cone is V=(1/3)*pi*r^2*h where r is the radius and h is height. We know h1=12cm and r1=6cm, r2=6cm and h2=18 cm. So to get the amount of added clay Va we simply subtract the volume of the clay of the first cone V1 from the volume of the second cone V2: Vd=V2-V1=(1/3)*pi*(r1^2)*h1 - (1/3)+pi*(r2^2)*h2. Va=678.24 cm^3-452.39 cm^3= 266.08 cm^3.
Step-by-step explanation:
brainliest?
The area of a sector with a radius of 22 yards is 89.45 square yards. Calculate the approximate angle of the sector
Answer:
0.3696 radian
21.178°
Step-by-step explanation:
Given :
Radius, r = 22 yards
Area of Sector = 89.45 yd²
Approximate angle of the sector :
Area of Sector = 1/2 * θ * r²
89.45 = 1/2 * θ * 22²
89.45 = 0.5 * 484 * θ
89.45 = 242θ
θ = 89.45 / 242
θ = 0.3696 radian
Radian to degree
0.3696 * 180 / π = 21.178°
4.
Do the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.
A. inverse variation; xy = 20
B. direct variation; y = 20x
C. direct variation; [tex]y=\frac{20}{x}[/tex]
D. inverse variation; [tex]\frac{y}{x} =20[/tex]
Answer: A. inverse variation; xy = 20
ANSWER
Step-by-step explanation: Brainly
B) xy=20
Inverse because it is of the form y=k/x, intuitively you can see that as x increases y decreases, hence "inverse variation".
...............................................................................................................................................
Answer:
Option B is correct
Inverse variation , xy = 20
Step-by-step explanation:
Inverse variation states:
If
then the equation is in the form of:
or
xy = k ....[1]
As per the statement:
Given the data:
x : 2 4 8 12
y : 10 5 5/2 5/3
Let any value of x and y to find k:
x = 4 and y = 5
Substitute in [1] we have;
⇒20 = k
or
k = 20
then we get;
xy = 20
Check:
Substitute x = 12 and y = 5/3
⇒ true.
Therefore, the the data in the table represent a inverse variation and an equation to model the data in the table is, xy = 20
Find the area of the semicircle
Answer:
3.92yd
Step-by-step explanation:
pi r²÷2
pi 2.5²÷2=3.92
Slope-intercept equation from graph
Find the equation of the line.
⚠️WILL GIVE BRAINLIEST⚠️
Use the quadratic formula to find both solutions to the quadratic equation
given below.
3x2 - 5x + 1 = 0
ILL MAKE YOU BRAINLEST JUST HELP
Answer:
i only know one answer which is d
Step-by-step explanation:
Answer:
Step-by-step explanation:
i think b and d
HELP DUE IN 10 MINS! Solve for x in the parallelogram below:
x=??
Answer:
x = 10
Step-by-step explanation:
The opposite angles in a parallelogram are congruent, then
5x - 9 = 3x + 11 ( subtract 3x from both sides )
2x - 9 = 11 ( add 9 to both sides )
2x = 20 ( divide both sides by 2 )
x = 10
Sally has 8 red marbles and 16 green
marbles. She also has red bags and
green bags. She wants to put marbles in
the bags that match their color. Each
bag will have the same number of
marbles. What is the largest number of
marbles she can put into each bag?
Answer: 8
Step-by-step explanation: It's just GCF. The greatest common factor (GCF) of 8 and 16 is 8 (8 and 16 are both divisible by 8 but not by anything greater) which brings us to our answer.
HURRY PLEASE I DONT WANT TO FAIL
Answer: 62
Step-by-step explanation: In the red empty spot, the #5 would go there and in the blue spot the #6 would go there. 8x2=16 and 16+16= 32: t=This is for the to rectangle shapes on both sides. Now for the square in the middle, since the red spot is 5 and the blue is 6, 5x6= 30. So, 30+32=62.
Which is an equation in point-slope form for the given point and slope? Point: (1.9); Slope: 5
A: y-1=5(x+9)
B: y-9=5(x+1)
C: y-9=5(x-1)
D: y+9=5(x-1)
answer is D
from y-y'=m(x-x') ,where m is slope and x' and y' are our points then ;
given are;
m=5, x' =1 and y' =9
By substituting our given
y-9=5(x-1)
If the student is a domain/inout and the hair color is the range/output how is these two set of relation not a function?
Answer:
A function is a relation that maps inputs from a set called the domain, into outputs from a set called the range.
Such that each input can be mapped into only one output.
So for example, if we have a relation that maps the input 2 into two different values:
f(2) = 4
f(2) = 8
Then this is not a function.
In the case of the problem, we have a student as the input, and the hair color as the output.
So we will have something like:
f(student) = blond
And if this student decides to change his/her hair color to red?
Then the function becomes:
f(student) = red
So for the same input, we had two different outputs, which means that this is not a function.
We also could have the case where a given student has two colors (Californian for example)
Where again, we would see two different outputs for one single input.
A biologist is comparing the growth of a population of flies per week to the number of flies a lizard will consume per week. She has devised an equation to solve for which day (x) the lizard would be able to eat the entire population. The equation is 7x = 3x + 4.
Explain to the biologist how she can solve this on a graph using a system of equations.
Answer:
(-1.307, 0.079), (1, 7)Step-by-step explanation:
Given equation:
7ˣ = 3x + 4To solve this, express each side of the equation as different function and find the intersection of graphs of those functions:
y = 7ˣy = 3x + 4As per graph, the solution is:
(-1.307, 0.079), (1, 7)Break into two parts
y=3x+4y=7^xNow graph and find the solution
Help me please!!! I’ll mark brainliest!!
Answer:
all the answers are c on that test my teacher did that same exact test
Step-by-step explanation:
mark brainliest!
Complete the following table using the equation: y = x squared
x
-3
-1
0
1
3
y
Plot the points on a graph and determine which graph best represents the equation.
Graph A
On a coordinate plane, a parabola opens up and goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4).
Graph B
On a coordinate plane, a parabola opens down and goes through (negative 2, negative 4), has a vertex at (0, 0), and goes through (2, negative 4).
a.
-9, -1, 0, -1, -9; Graph B
b.
9, 1, 0, 1, 9; Graph B
c.
9, 1, 0, 1, 9; Graph A
d.
-9, -1, 0, -1, -9; Graph A
Answer:
Step-by-step explanation:
ITS A
Answer:
The answer is C , Graph A
Step-by-step explanation:
Simplify the expression below.
4x+ 3(2x−1) − 4x
Answer:
=6x−3
Step-by-step explanation:
Let's simplify step-by-step
4x+3(2x−1)−4x
Distribute:
=4x+(3)(2x)+(3)(−1)+−4x
=4x+6x+−3+−4x
Combine Like Terms:
=4x+6x+−3+−4x
=(4x+6x+−4x)+(−3)
=6x+−3
Answer:
6x - 3
Step-by-step explanation:
4x + 3(2x - 1) - 4x
Distribute, multiply every term inside the parenthesis by the term outside of it,
4x + (3)(2x) + (3)(-1) - 4x
Simplify,
4x + 6x - 3 - 4x
Simplify further, combine like terms,
6x - 3
PLZZZ ANSWER HURRY 25 POINTS
Answer:
3
Step-by-step explanation:
given g(x)=2(x-4)+7 find 2g(-6)
Answer:
g(x)=2(x-4)+7
2g(-6)=2[2(-6-4)+7]
=2[2(-10)+7]
=2(-20+7)
=2(-13)
=-26
[tex](x + y) ^{2} [/tex]
Answer:
Step-by-step explanation:
(x + y) 2
x2 + 2xy + y2
Answer:
Step-by-step explanation:
This is an example of "the square of a binomial." There is a formula for such cases;
(a + b)^2 = a^2 + 2ab + b^2 (worth memorizing)
Thus, our (x + y)^2 = x^2 + 2xy + y^2
Please someone help, I know its kind of a lot, but I need these answers fast pls.
Using the graphing calculator, type in the table and complete a linear regression. The value of the correlation coefficient is found next to the letter (__) in the table. The value of the correlation coefficient is (__) [round to the hundredths place]. When the correlation coefficient is interpreted, it means that the correlation is (__) and (__). This means the points will be (__) [close or further away] to the line.
Answer:
Im not sure
Step-by-step explanation:
GOOD LOOK ON YOUR TEST HE DISCONN-ECTED
*WILL GIVE BRAINLIEST FOR THE BEST ANSWER NO VIRUS LINKS OR ILL REPORT YOU*
Which of these statements best describes a biased sample?
A. The sample is small
B. The sample has results that are incorrect predictions
C. The sample does not accurately represent the population
D. The sample was chosen randomly
Answer:
C) The sample does not accurately represent the population
Answer:
C
Step-by-step explanation:
If you go to go o g l e and search up "bias sample examples" it will give you examples! I hope I helped :)
PLEASE HELP. no links.
Answer:
45 i think
Step-by-step explanation:
A sphere and a cone have the same volume. The sphere has a radius x and height y. The cone has a radius of 1/2x. Find the height of the cone in terms of y.
Answer:
h = 16x
Step-by-step explanation:
The volume of a sphere and a cone is same such that,
[tex]V_s=V_c\\\\\dfrac{4}{3}\pi r^3=\dfrac{1}{3}\pi R^2h[/tex]
We have, r = x, R = (1/2)x, h= ? (height of the cone)
So,
[tex]\dfrac{4}{3}\pi x^3=\dfrac{1}{3}\pi (\dfrac{x}{2})^2h\\\\4x^3=\dfrac{x^2}{4}h\\\\h=\dfrac{16x^3}{x^2}\\\\h=16x[/tex]
So, the height of the cone is equal to 16x.
A boat covers 25 km upstream and 44 km downstream in t hours. Also, it covers 15 km upstream and 22 km downstream in 5 hours. Find the speed of the boat in still water and that of the stream.
9514 1404 393
Answer:
boat speed: (7t -95)/(6t² -110t +500)
stream speed: (37t -345)/(6t² -110t +500)
Step-by-step explanation:
The relation between time, speed, and distance is ...
time = distance/speed
The boat speed (b) is added to the stream speed (s) going downstream. The stream speed is subtracted going upstream. The given relations tell us ...
25/(b-s) +44/(b+s) = t
15/(b-s) +22/(b+s) = 5
This gives us 2 equations in 3 unknowns, so we can only provide a solution in terms of one of the unknowns. Since we are asked for the speeds, they will be provided in terms of t.
Subtracting the first equation from 2 times the second gives ...
2(15/(b-s) +22/(b+s)) -(25/(b-s) +44/(b+s)) = 2(5) -(t)
5/(b-s) = 10 -t
5/(10 -t) = b -s
Substituting for b-s in the second equation gives ...
15/(5/(10-t)) +22/(b+s) = 5
30 -3t +22/(b+s) = 5
22/(b+s) = 3t -25
22/(3t -25) = b+s
Adding the equations for the sum and difference of speeds, we get ...
(b-s) +(b+s) = 5/(10-t) +22/(3t -25)
2b = (5(3t -25) +22(10 -t))/((10-t)(3t-25)) = (95 -7t)/((10-t)(3t-25))
b = (7t -95)/(6t² -110t +500)
Subtracting the equations for sum and difference of speeds, we get ...
(b+s) -(b-s) = 22/(3t -25) -5/(10 -t)
2s = (22(10-t) -5(3t -25))/((10-t)(3t-25))
s = (37t -345)/(6t² -110t +500)
__
The speed of the boat in still water is (7t -95)/(6t² -110t +500) km/h.
The speed of the stream is (37t -345)/(6t² -110t +500) km/h.
__
Note that these solutions only make sense for values of t between 25/3 and 345/37, approximately 8.33 < t < 9.32. For t=9 hours, the boat speed is 8 km/h and the stream speed is 3 km/h.
Construct the following shapes:
A concave hexagon with one angle of 45⁰ and one side length of 4 cm.
A trapezoid ABCD where AB = 8cm, and CD = 4 cm. What is the measure of each internal angle (use your protractor to measure)?
[To be solved on grid paper]
What is the area of the base ? / / / / /
Answer:
area of base = 20 in²
Step-by-step explanation:
area of base = 2 x 10 = 20 in²
What is 2x^3 if x=3?
Answer:
2^3 when x=3
2*3^3
6^3
6*6*6
36*6
=192Step-by-step explanation:
How Roses Got Their Thorns.
Many years ago ,in the land of Lucia, there was a beautiful queen named —————. Queen —————lived in a century old castle surrounded by a forest on the north side,a maze on the east side, a fountain on the west side and a rose garden on the south side. Her private living quarters had a large window facing the south. Each morning she would start her day by opening her window to the sweet aroma coming from her rose garden. She had a special servant whose only job was to care for her roses. Queen ———- rose garden was her favorite place and every day she would spend time there relaxing and caring for her lovely blooms. Her garden was world famous and people came from miles around to visit and enjoy their beauty and lovely fragrance.
One day she notice there were fewer blooms than usual and she became concerned. She thought her servant was not doing his job,so she obtained a new gardener. The blooms continued to disappear and then she noticed that plants were starting to disappear. Finally, she had some of her servants start guarding the roses. They discovered that the visitors were picking and digging up her roses. She loved sharing the beauty of her garden with her subjects but she had to find a way to protect her roses . Several attempts were tried to protect the. She had a fence built,but the people knocked it down. She had a wall built but they climbed over it. She put guards around but the guards could not be everywhere and the people continued to take her roses . Finally, she sought the advice the local wizard . His solution was to put a curse on the roses. Queen———-agreed to a curse as long as it did not affect the aroma or the beauty of them Beginning that day the loveliest of flowers started growing thorns and still do. P
Answer:
Queen Marie Antoinette
Perimeter is used to find the
A: distance from a ceiling to the floor
B: amount of blacktop on a playground
C: amount of floor space covered by a carpet
D: distance around the edge of a swimming pool
Answer:
D: distance around the edge of the swimming pool
Step-by-step explanation:
perimeter is the distance around something.
Step-by-step explanation:
Perimeter is used to find out the boundary of any thing or figure...So,
Option D Distance around the edge of a swimming pool. is correct answer.
Write the equation that describes the following variation. Don't forget "k"!
x varies directly with the square rootſofy and inversely with the square of w and the
cube root of z
Answer:
x=(k√x)/(w^2)(cube√z)
x varies directly with square root of y is:
x = k √y
And inversely with the square of w and cube root of s is:
/(w^2)(cube√z)
Now put those together:
x=(k√x)/(w^2)(cube√z)
The formula is:
x=ky/wz but add the specific info like square, roots, or etc
What is the slope of the line?
Answer:
2
Step-by-step explanation:
To find slope just compare two points on a graph then put them into a fraction like so y₁ - y₂/x₁ - x₂
