[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=60\pi \end{cases}\implies 60\pi =2\pi r\implies \cfrac{60\pi }{2\pi }=r\implies 30=r[/tex]
Final answer:
The radius of a circle with a circumference of 60π cm is found by dividing the circumference by 2π, resulting in a radius of 30 cm.
Explanation:
To find the radius of a circle with a given circumference, we use the formula for the circumference of a circle, which is C = 2πr, where C is the circumference, π (pi) is approximately 3.14159, and r is the radius.
The circumference of the circle is given as 60π cm. Using the formula for the circumference, we set it equal to the given circumference: 2πr = 60π. To find the radius, we divide both sides of the equation by 2π:
2πr = 60π
r = 60π / 2π
r = 30 cm
Thus, the radius of the circle is 30 cm.
Elsa makes and sells candles. The function C = 2n + 125 represents her costs, in dollars, for producing n candles. Her revenue, or the amount she receives for selling n candles, can be represented by the function R = 4n. Which function represents Elsa’s profit, P, for selling n candles?Elsa makes and sells candles. The function C = 2n + 125 represents her costs, in dollars, for producing n candles. Her revenue, or the amount she receives for selling n candles, can be represented by the function R = 4n. Which function represents Elsa’s profit, P, for selling n candles?
ANSWER
P(n)=2n-125
EXPLANATION
Profit equals selling price minus cost price.
P(n)=R(n)-C(n)
The cost price is given by the function;
C(n)= 2n + 125
The selling price is represented by the function:
R(n)=4n
The function that represents the profit function is :
P(n)=4n-(2n+125)
Expand
P(n)=4n-2n-125
Simplify:
P(n)=2n-125
Answer:P = 2n – 125
Step-by-step explanation: Ur welcome <3
is this right? we are learning ‘applying systems of equations’
The system of equations is
X+y=70
X-y=36
Where x and y are the two numbers
X=36+y ( from second)
36+y+y=70;
2y=70-36;
y=17
X+17=70
X=70-17=53
Numbers are 17, 53.
A moving box one meter wide 1/2 meter long and 3/4 meter tall how many cubic meters can the Box hold?
Here is the work and explained sentence :)
5.
(07.04A)
The graph represents function 1, and the equation represents function 2:
Function 1
A coordinate plane graph is shown. A horizontal line is graphed passing through the y-axis at y = 4.
Function 2
y = 8x + 12
How much more is the rate of change of function 2 than the rate of change of function 1? (4 points)
A:=3
B:=4
C:=5
D:=8
D. is the answer.
your welcome hunty
Answer:
Step-by-step explanation:
Actually, none of the posted possible answers is correct. The slope of the horizontal line is zero, whereas the slope of the given equation is 8. There is no number which, when multiplied by 0, results in a non-zero product.
However, if we are ADDING instead of multiplying, then the correct number is 8, because 0 + 8 = 8.
Please help me?
take 20% of ten more than fifty, divided it by three, and then square it what number do you get?
The answer is 16, good luck
Maybe 2??? tell me if right.
Find the next three terms in the sequence. 6, 11, 16, 21, . . .
A) 26, 31, 36
B) 31, 36, 41
C) 205, 525, 2625
D) 16, 11, 6
Answer:
a)26,31,36
Step-by-step explanation:
add by 5
26, 31, 36 next three terms in the sequence.
What is arithmetic progression?A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms. An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15.
Given
a = 6
d = 11-6 = 5
aₙ = a + (n-1)d
n = 5, 6, 7
a₅ = 6 + (5-1)5
a₅ = 6 +20 = 26
a₆ = 6 + (6-1)5
a₆ = 6 +25 = 31
a₇ = 6 + (7-1)5
a₇ = 6 +30 = 36
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Jesse has a bottle of lemonade one third has been drunk he shares it between himself and his three friends what fraction of the full bottle do they each get?
Answer:
1/9
Step-by-step explanation:
1/3 times 1/3 = 1/9
The fraction of lemonade bottle each of them get is 16.67/100 or 16.67 %
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Jesse has a bottle of lemonade
The lemonade is 1/3 empty
So , the amount of lemonade left in the bottle is = 1 - 1/3
= 2/3
The number of friends Jesse shares the lemonade with = 3 people
So , the total number of people = 4 people
Now , the equation will be
Total lemonade each person get =
Amount of lemonade left in the bottle / total number of people
Total lemonade each person get = ( 2/3 ) / 4
= 2/12
= 1/6
= 0.1667
Hence , The fraction of lemonade bottle each of them get is 16.67/100 or 16.67 %
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The point-slope form of the equation of the line that passes through (-9, -2) and (1.3) is y-3=1/2(x-1). What is the slope-intercept form of the equation for this line?
Answer:
y = 1/2x + 5/2
Step-by-step explanation:
y-3=1/2(x-1).
To get from point slope to slope intercept, distribute the slope
y-3 = 1/2 x -1/2
Then add 3 to each side
y-3+3 =1/2 x -1/2 +3
y = 1/2x +2 1/2
Or if we want the last term as an improper fraction
y = 1/2x + 5/2
the ratio of the number of men to the number of women on a bus was 2:3 at a bus stop. 4 women got off and the ratio became 4:5. 1 How many men were on the bus? b. How many women were on the bus in the end?
Answer:
At the beginning
16 men and 24 women
In the end
16 men and 20 women
Step-by-step explanation:
Call x the number of men on the bus and call y the number of women on the bus.
We know that the initial ratio between men and women is 2: 3
And the final ratio is 4: 5
So
[tex]\frac{x}{y}=\frac{2}{3}\\\\y = \frac{3}{2}x[/tex] (1)
After the 4 women are down, the proportion is:
[tex]\frac{x}{y-4}=\frac{4}{5}\\\\y-4 = \frac{5}{4}x\\\\y= \frac{5}{4}x +4[/tex] (2)
Substitute the value of y in the first equation and solve for x
[tex]\frac{5}{4}x +4=\frac{3}{2}x\\\\-\frac{1}{4}x=-4\\\\x=16\ men[/tex]
Now solve for y.
[tex]y = \frac{3}{2}(16)\\\\y=24\ women[/tex]
Then at the end there were
[tex]y = 24-4 = 20[/tex] women
A circle has its center at (1,4) and a radius of 2 units what is the equation of the circle
Answer: x² + y² - 2x - 8y + 13 = 0
Step-by-step explanation:
the equation of the circle is in the form (x - a)² + (y - b)² = r²
where (a,b) is the center of the circle and r is the radius
hence the equation is
(x - 1)² + (y - 4)² = 2²
x²-2x+1+y²-8y+16= 4
x²+ y² -2x- 8y + 17 =4
x² + y² - 2x - 8y = -13
x² + y² - 2x - 8y + 13 = 0
look at picture and plzz help answer is more than one option
Answer:
f(x) reflect over the x-axis, vertically stretch by a factor 3, and
shift down 1 unit ⇒ 2nd answer
Step-by-step explanation:
* To solve this problem you must to know some fact about
transformation
- If the function f(x) translated horizontally to the left
by h units, then the new function g(x) = f(x + h)
- If the function f(x) translated vertically up
by k units, then the new function g(x) = f(x) + k
- If the function f(x) translated vertically down
by k units, then the new function g(x) = f(x) – k
- A vertical stretching is the stretching of the graph away from
the x-axis
• if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically
stretched by multiplying each of its y-coordinates by k.
- A vertical compression is the squeezing of the graph toward
the x-axis.
• if 0 < k < 1 (a fraction), the graph is f (x) vertically compressed
by multiplying each of its y-coordinates by k.
• if k should be negative, the vertical stretch or compress is
followed by a reflection across the x-axis.
* Now lets solve the problem
- From the graph
∵ The line passes through the points (0 , -1) and (-1 , 2)
∴ The slope of the line = (2 - -1)/(-1 - 0) = 3/-1 = -3
∵ The graph intersect the y-axis at point (0 , -1)
∵ The equation of any line ⇒ y = mx + c , where m is the slope
of the line and c is the y-intercept
∵ m = -3 and y-intercept = -1
∴ y = -3x - 1 ⇒ g(x) = -3x - 1
∵ f(x) = x
* From all the transformation above
# -3x means the graph reflected over the x-axis, vertically stretch
by a factor 3
# -1 means shift down 1 unit
# g(x) = -3f(x) - 1
∴ f(x) reflect over the x-axis, vertically stretch by a factor 3, and
shift down 1 unit
* The second answer
the difference between 4 632 and 20 000 is what number?
u just divide 4,632 by 20,000
Answer:
-15368
Step-by-step explanation:
If f(x)=x+7 and g(x)=1/x, what is (f•g)(x)?
Answer:
Step-by-step explanation:
(f•g)(x) = f(g(x)) = f(1/x) = 1/x +7
Pick the correct graph to each category based on the slope of the graph.
Answer:
Slope 0: second graph
slope less than 0: fourth graph
slope undefined: fifth graph
slope greater than 1: third grpah
Step-by-step explanation:
Answer:
slope 0: second on the red line on top
less than 0: 4th graph \
undefined:5th graph |
greater than 1: first one /
Step-by-step explanation:
Evaluate 4x power of 3 +4x when x=3
[tex]\text{Hey there!}[/tex]
[tex]\text{Evaluate:\ }\bf{4x^3+4x}\text{ if x = 3}[/tex]
[tex]\text{If we know what the x-value is then replace the x with 3}[/tex]
[tex]\bf{4(3)^3+4(3)}[/tex]
[tex]\bf{4(3)^3+12}[/tex]
[tex]\text{4 = 4}[/tex]
[tex]\bf{3^3=27}[/tex]
[tex]\text{4(3) = 12}[/tex]
[tex]\text{4(27) + 12}[/tex]
[tex]\text{4(12)=108}[/tex]
[tex]\text{108 + 12 = 120}[/tex]
[tex]\boxed{\boxed{\text{Answer: 120}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
A ruler can measure the length to the nearest 0.1 centimeter. Which of these lengths is the most precise measurement the ruler could make of a wire that measures 13.58cm
Answer:
13.6
Step-by-step explanation:
"A ruler can measure the length to the nearest 0.1 centimeter. Which of these lengths is the most precise measurement the ruler could make of a wire that measures 13.58cm"
Down to the nearest .1 centimeter means round to the nearest .1, so the solution is 13.6cm
A ruler that can measure to the nearest 0.1cm would be able to accurately measure a wire of 13.58cm up to 13.5cm. The remaining 0.08cm cannot be measured accurately by this ruler.
Explanation:In this context, the term 'precision' refers to the smallest measurement that can be reliably marked by an instrument. Given that the ruler can measure to the nearest 0.1 centimetre, the most precise measurement the ruler can make is till decimals of one place. Therefore, for a wire measuring 13.58cm, the ruler will be able to precisely measure till 13.5cm. The wire's length of '0.08cm' beyond '13.5cm' cannot be accurately measured with this ruler as it doesn't have markings to measure in this range.
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If 38 12-m – 82m, what is the value of m?
Answer:
[tex]m=-\frac{26}{83}[/tex]
Step-by-step explanation:
Since you are asking for the value of [tex]m[/tex], it is reasonable to assume that we are dealing with an equation here and you forgot to type the equal sign. Given that, I assume our equality is [tex]38=12-m-82m[/tex]. Let's solve it step-by-step:
Step 1. Subtract 12 from both sides of the equation
[tex]38-12=12-12-m-82m[/tex]
[tex]26=-m-82m[/tex]
Step 2. Combine like terms (m terms)
[tex]26=(-1-82)m[/tex]
[tex]26=-83m[/tex]
Step 3. Using the reflexive property of equality: if a = b, then b = a
[tex]26=-83m[/tex]
[tex]-83m=26[/tex]
Step 4. Divide both sides of the equation by -83
[tex]\frac{-83m}{-83} =\frac{26}{-83}[/tex]
[tex]m=-\frac{26}{83}[/tex]
We can conclude that the value of m is [tex]-\frac{26}{83}[/tex].
Next time be more careful writing your question :)
A circle is inscribed in a square with a side length of 12 cm. What is the area of the square not contained within the circle? Use π=3.14
.
The answer will be 48 is the area if the square
The ratio of blue to yellow is 4:5 and there are 15 yellow how many blue is there?
Answer: 12 blue marbles
Step-by-step explanation: Set up a proportion.
4/5 = x/15
Solve for x, the number of blue marbles. Cross multiply. You will get 60 = 5x
Divide by 5 on each side.
x = 12
There are 12 blue marbles.
PLS HELP I WILL GIVE BRAINLIEST
So, you just have to recognize the line splitting the circle in half, line LJ. So, if JC (arc) is 94, then do 180-94=86. ∠LJC is an inscribed angle, so it's half of 86, which is 43°.
43° is your answer.
Ms. Chloe has 5 cups of popcorn, which she is serving as a snack to a group of children. Each serving is 1/4 of a cup. How many children can get a serving of popcorn as a snack?
20 children can get a serving of popcorn
Since each serving is 1/4 of a cup, each cup can provide for 4 children. Since there are 5 total cups, multiplying 5 by 4 will give you 20.
The answer is 20 because first you have to set up a division equation. It would be 5 divided by 1/4.You can’t divid with a fraction so you must change it into a multiplication sentence. The new equation would now be 5 times 4/1 and the answer would be 20. Therefore, Ms.Chloe can freed 20 children.
Josh bought four books at a bookstore. Here are their prices (in dollars).
19.5
,
16.87
,
4.02
,
2
What is the total amount Josh paid at the bookstore?
Answer:
Step-by-step explanation:19.5+16.87+4.02+2
=42.39$
which number is 13 prime, composite, or nither
13 is prime because there is only 1 factor 1 and 13.
Answer:
prime
Step-by-step explanation:
What is the length of each side of the larger square
Answer:
The larger square is 6 cm on a side
Step-by-step explanation:
Let x = the side of square 1
Let y = side of square 2
A= s^2
Area of square 1 = x^2
Area of square 2 = y^2
The total area of both squares = x^2 +y^2 = 45
We know that y = 2x
Substituting in
x^2 + (2x)^2 = 45
x^2 +4x^2 = 45
5x^2 = 45
Divide each side by 5
5x^2/5 = 45/5
x^2 = 9
Take the square root of each side
sqrt(x^2) = sqrt(9)
x = 3
y = 2x = 2(3) = 6
The larger square is 6 cm on a side
can you answer the first question
Answer:
The solution is incorrect and the equation has 1 solution
Step-by-step explanation:
Malia subtracted 6 instead of dividing by 6.
correct solution:
6x=48
x=48/6
x=8
Brainliest + 20 Points!
I need help I'm struggling..
The ratio of side lengths for two similar cubes is 2/5
Show your work or explain how you got your answers.
a.The perimeter of one face of the smaller cube compared to the perimeter of one face of the larger cube
Answer:
The perimeter of one face of the smaller cube compared to the perimeter of one face of the larger cube is [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
and
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
Let
z-----> the scale factor
x-----> the perimeter of the smaller cube
y ----> the perimeter of the larger cube
[tex]z=\frac{x}{y}[/tex]
in this problem we have
[tex]z=\frac{2}{5}[/tex] ----> scale factor
substitute
[tex]\frac{x}{y}=\frac{2}{5}[/tex]
Find the distance between the points given. (2, 2) and (5, 5) 3 3√2 7√2
Answer:distance=(3,3)
Step-by-step explanation:
5-2=3
Answer:
The answer is 3 square root 2.
Step-by-step explanation:
Using the distance formula and you will get 4.242...... and then you will get 3 square root 2.
The length of a rectangle is 45 inches more than the width. The perimeter is 346 inches. Find the length and the width.
Solution:
Perimeter of Rectangle = 346Let Required length of breadth be x
Then, Length of Rectangle = 45 + xNow, We have ;
Perimeter of Rectangle = 2(l+b)Perimeter of Rectangle = 2 ( 45 + x + x346 = 2 ( 45 + 2x )346 = 90 + 4x 346 - 90 = 4x 256 = 4x x = 256 ÷ 4 x = 64 inchesSo, Length of Rectangle = x + 46
Length of Rectangle = 64 + 46
Length of Rectangle = 110 inches
Now, Breadth of Rectangle = 64 inches.
Answer:
Length = 109 inches and width = 64 inches
Step-by-step explanation:
Perimeter = 2(length + width)
Let the width of the rectangle be 'w' inches
Length of the rectangle would be = 45+w inches
2((45+w)+w) = 346
2(45+2w) = 346
90 + 4w = 346
4w = 346 - 90
4w = 256
w = [tex]\frac{256}{4}[/tex]
w = 64 inches
Length = 45 + 64 = 109 inches
Length = 109 inches and width = 64 inches
5 - _________a0 = 14
Have no idea how to attempt this problem, and have told math teachers I cant figure it out, but they are not helping. Please help if you can. Thanks in advance.
Answer:
Final answer is [tex]a_0=-9[/tex]
Step-by-step explanation:
Given equation is [tex]5-a_0=14[/tex]
Now we need to solve the given equation [tex]5-a_0=14[/tex] for the unknownd variable [tex]a_0[/tex] .
We can do that by isolating [tex]a_0[/tex]
To isolate [tex]a_0[/tex], let's subtract 5 from both sides
[tex]5-a_0-5=14-5[/tex]
[tex]-a_0=9[/tex]
multiply both sides by -1
[tex]-a_0(-1)=9(-1)[/tex]
[tex]a_0=-9[/tex]
Hence final answer is [tex]a_0=-9[/tex]
What is the median from the following set of data:1,2,3,3,3,8,8,11,15?
Answer:
3
Step-by-step explanation:
The median is the # in the middle, and since 3 is used 3 times, it´s the most used # and is in the middle
[tex]\huge{\boxed{3}}[/tex]
The median is the middle number when the numbers are arranged least to greatest, which they already are.
Take numbers away two at a time, one from the front and one from the back.
1,2,3,3,3,8,8,11,15
2,3,3,3,8,8,11
3,3,3,8,8
3,3,8
This means that the median is [tex]\boxed{3}[/tex]