The circumference of the smaller circle is C = 2*pi*x/3.
We have given that radius ob measures x units
What is the formula for the circumference of the circle ?circumference of the circle is given by,
[tex]C = 2\times \pi \times R[/tex]
where pi = 3.14
R= radius
we have two circles, A and B, where B is the larger circle and A is the smaller circle.
We know that,The circumference of B is 3 times the circumference of A.
The radius of circle B is OB = x
The radius of circle A is OA
We want to find an expression of OA.
The circumference of circle B is given by
[tex]C(B) = 2\times \piOB = 2\times pi\times x[/tex]
The circumference of circle A is given by
[tex]C(A) = 2\times\pi\times OA[/tex]
we know that the circumference of circle B is 3 times the circumference of circle A,
[tex]C(B) = 3\times C(A)[/tex]
replacing the equations for the circumferences
[tex]2\times\pi\times x = 3\times (2\times pi\times OA)[/tex]
We have divide both sides by [tex]2\pi[/tex]we get:
[tex]x = 3\times OA[/tex]
Now we want to solve this for OA, then we need to isolate it,
[tex]x/3 = OA[/tex]
We can conclude that the radius of the smaller circle is equal to x/3.
Then the circumference of circle A is
[tex]C(A) = 2\times pi\times x/3[/tex]
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Answer:
c
Step-by-step explanation:
Solve for m
[tex]n=\frac{4}{5} (m+7)[/tex]
[tex]n=\dfrac 45 (m+7)\\\\\implies 5n = 4(m+7)\\\\\implies 5n = 4m+28\\\\\implies 4m = 5n-28\\\\\implies m = \dfrac{5n-28}{4}[/tex]
The first steps in writing f(x) = 3x2 – 24x 10 in vertex form are shown. f(x) = 3(x2 – 8x) 10 (startfraction negative 8 over 2 endfraction) squared = 16 what is the function written in vertex form? f(x) = 3(x 4)2 – 6 f(x) = 3(x 4)2 – 38 f(x) = 3(x – 4)2 – 6 f(x) = 3(x – 4)2 – 38
The given quadratic equation 3x^2 – 24x + 10 can be written in vertex form that is f(x) = 3(x – 4)2 – 38.
What are quadratic equations?A quadratic equation is an equation of degree 2 and the standard form of a quadratic equation [tex]ax^{2} +bx+c[/tex] where x is the variable and a,b, c are real numbers.
Following the steps already shown to transform the given function into the vertex form,
[tex]f(x) = 3(x^{2} - 8x + 16) + 10 - 3(16)\\f(x) = 3(x - 4)(x - 4) + 10 - 48\\f(x) = 3(x - 4)2 - 38[/tex]
Therefore, the function written in vertex form is f(x) = 3(x – 4)2 – 38.
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Answer:
The answer is D!
Step-by-step explanation:
I NEED HELP ANSWERING THIS QUESTION PLEASE HELP!!
2Answer:
a. 68%
b. 95%
c. 2.35%
Step-by-step explanation:
empirical rule is the
68–95–99.7 rule
a. 68%
b. 95%
c. 99.7 - 95 = 4.7 then 4.7/2 =
2.35%
The coffee variety Arabica yields about 750 kg of coffee beans per hectare, while
Robusta yields about 1200 kg per hectare. Suppose that a plantation has a
hectares of Arabica and r hectares of Robusta.
a. Write an equation relating a and r if the plantation yields 1,000,000 kg of coffee.
b. On August 14, 2003, the world market price of coffee was $1.42 per kg of Arabica
and $0.73 per kg of Robusta. Write an equation relating a and r if the plantation
produces coffee worth $1,000,000.
Answer:
See belowStep-by-step explanation:
a)
Arabica coffee = 750aRobusta coffee = 1200rThe total amount coffee beans
750a + 1200r = 1000000 kgb)
The total amount of market price
1.42*750a + 0.73*1200r = 1000000 ⇒1065a + 876r = 1000000 dollarsAnswer:
a) 750a + 1200r = 1000000
b) 1065a + 876r = 1000000
Step-by-step explanation:
Define the variables:
Let a = number of hectares of Arabica beansLet r = number of hectares of Robusta beansPart (a)
Given:
Arabica coffee = 750 kg beans per hectareRobusta coffee = 1200 kg beans per hectareIf the plantation yields 1,000,000 kg of coffee:
⇒ 750a + 1200r = 1000000
Part (b)
Given:
Arabica beans = $1.42 per kgRobusta beans = $0.73 per kgIf the price of Arabica beans is $1.42 per kg, and Arabica yields about 750 kg per hectare, then the price per hectare of Arabica coffee beans is:
⇒ $1.42 × 750 = $1065 per hectare
If the price of Robusta beans is $0.73 per kg, and Robusta yields about 1200 kg per hectare, then the price per hectare of Robusta coffee beans is:
⇒ $0.73 × 1200 = $876 per hectare
Therefore, if the plantation produces coffee worth $1,000,000:
⇒ 1065a + 876r = 1000000
Lindiwe is twice as old as Preeya and six years older than Sue . Their combined ages total 39 years . How old is Lindiwe
Answer:
Lindiwe is 18
Step-by-step explanation:
Lindiwe = L
Preeya = L/2
Sue = L-6
Their combined ages total 39 years
L+(L/2) + L-6 = 39
2.5L = 45
L=18
Lindiwe=18
Preeya= 9 (half of Lindiwe)
Sue = 12 (6 lessthan Lindiwe)
18+9+12 = 39
x^2-8x+16=3 solve using square roots
Answer:
x = 4 ± [tex]\sqrt{3}[/tex]
Step-by-step explanation:
x² - 8x + 16 = 3 ← the left side is a perfect square
(x - 4)² = 3 ( take square root of both sides )
x - 4 = ± [tex]\sqrt{3}[/tex] ( add 4 to both sides )
x = 4 ± [tex]\sqrt{3}[/tex]
heeeeeeeeeeelllllllllppppppppppppp
Answer:
88
Step-by-step explanation:
The area of a triangle is calculated using the following formula:
1/2*b*h (b: base, h: height)
The height here is 11 and the base is 16
1/2*16*11 = 88 units square
How do you evaluate a geometric series?
To find the sum of a finite geometric series, use the formula, Sn=a1(1−rn)1−r,r≠1 , where n is the number of terms, a1 is the first term and r is the common ratio .
hope it helps...!!!
Please help with this problem.
Answer:
whats the problem it doesnt say anything
According to the line plot, how many tadpoles were measured?
10 tadpoles
3 tadpoles
4 tadpoles
9 tadpoles
Answer:
10 Tadpoles were mesured in the line plot
Answer:
10 tadpoles
Step-by-step explanation:
look at the diagram
count the x's
you get your answer
I’m don’t have much points please help
~Denki Kaminari here~
Answer:
JGH
Step-by-step explanation:
it can be proven because there is the measurement of "P".
hope this helps :D
I don’t understand what to do and I’m having trouble with working it.
Answer:
y=112
Step-by-step explanation:
If x=3.5 and y=14, you would divide 28 by 3.5 to get 8. Since x and y are directly proportional, you would times 14 by 8 to get y=112.
What is the volume, in cubic in, of a cylinder with a height of 8 in and a base radius of
2 in, to the nearest tenths place?
Answer:
V=100.5
Step-by-step explanation:
hopes this helps
James is participating in a 8-mile walk to raise money for a charity. He has received $600 in fixed pledges
and raises $11 extra for every mile he walks. Use a point-slope equation to find the amount he will raise if
he completes the walk.
If he finishes the race, James will raise
Answer:688
Step-by-step explanation:600+(11x8)=x
x=total
600+88=x
x=688
A vacuum cleaner costs $68, and the full-replacement extended warranty costs $22. if the manufacturer sells 360,920 vacuum cleaners under warranty and must replace 15% of them to honor the warranties, how much will the replacement costs be? a. $4,258,856 b. $3,681,384 c. $1,191,036 d. $6,749,204
The cost of the 15 percent of replaced vacuum cleaner which are sold under warranty is $3,681,384. Option b is correct.
What is percentage ?Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.
A vacuum cleaner costs $68, and the full-replacement extended warranty costs $22.
The manufacturer sells 360,920 vacuum cleaners under warranty and must replace 15% of them to honor the warranties. Thus, the number of vecuum cleaner replaced by manufacturer is,
[tex]n=\dfrac{15}{100}\times360,920\\n=54138[/tex]
The cost of one vacuum cleaner is $68. Thus the cost of 54138 vcacuum cleaner is,
[tex]C=54138\times68\\C=3681384[/tex]
Hence, the cost of the 15 percent of replaced vacuum cleaner which are sold under warranty is $3,681,384. Option b is correct.
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Multiply
−3/10xy (60xy^6)
[tex]-\frac{3}{10}xy (60xy^{6} )[/tex]
Answer:
[tex] - 18 {x}^{2} {y}^{7} [/tex]
Step-by-step explanation:
[tex] - \frac{3}{10} xy(60x {y}^{6} ) = - \frac{3}{10} (60) \times x \times x \times y \times {y}^{6} \\ = - 18 {x}^{2} {y}^{7} [/tex]
The yearly profits of a company is $52,000. The profits have been decreasing by 2.75% per year. What
will be the profits in 4 years?
Jori bought $150 worth of a technology ETF that they sold for
$162.60 after one year. What was their return on investment?
A classic car is completely repainted, taking 120 hours total to finish the job. Using an
8-hour workday, how many days did it take to do the job?
Answer:
15 days
Step-by-step explanation:
120÷8=15
Are you sure it's high school math?
Select all that apply. (30 points)
Which pairs of angles are supplementary?
1 and 6
5 and 7
5 and 8
2 and 3
Answer:
1 and 6
5 and 7
Step-by-step explanation:
Supplementary angles equal 180degrees. 1 = 60 and 6=120. 60+120=180.
5 = 60 and 7=120. 60+120=180
Please help me on this it’s due now
Answer:
I don't understand the question
You are standing at point C, 45 feet from the Point State Park fountain in Pittsburgh, PA. The distance from you to a point of tangency on the fountain is
105 feet. Find the length of AC, the distance between you and your friend at point A.
The tangent line DC is perpendicular to the radius of the park
The length of AC is 245 feet
How to determine the distance AC?To calculate the distance AC, we start by calculating the length of AB using:
DC^2 = (BC + AB) * BC
So, we have:
105^2 = (45 + AB) * 45
Evaluate the exponent
11025 = (45 + AB) * 45
Divide both sides by 45
245 = 45 + AB
Rewrite as:
AB + 45 = 245
From the figure, we have:
AC = AB + 45
Substitute AB + 45 = 245
AC = 245
Hence, the length of AC is 245 feet
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HELPP A spinner is divided into five colored sections that are not of equal size: red, blue,
green, yellow, and purple. The spinner is spun several times, and the results are
recorded below:
Spinner Results
Color Frequency
7
6
Red
Blue
Green
Yellow
Purple
12
19
19
Based on these results, express the probability that the next spin will land on blue as
a fraction in simplest form.
Answer: 2/21
Step-by-step explanation:
6/63= 2/21
A line passes through the point (-1,-5) and has a slope of -5.
Write an equation in slope-intercept form for this line.
We're given a point that the line intersects and its slope.
Let's use Point-slope:-
[tex]\boxed{y-y1=m(x-x1)}[/tex]
y1 = -5
m=-5
x1=-1
[tex]\boxed{y-(-5)=-5(x-(-1)}[/tex]
[tex]\boxed{y+5=-5(x+1)}[/tex]
Convert to slope-intercept:-
[tex]\boxed{y+5=-5x-5}[/tex]
[tex]\boxed{y=-5x-5-5}[/tex]
Finally,
[tex]\bigstar{\boxed{\pmb{y=-5x-10}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Michael bought 4 pairs of socks.
He paid $7.16 after using a $2-off
coupon. Write an equation that can
be used to find the regular price, p,
of a pair of socks.
Answer:
4p - 2=7.16 is a formula that can be used to determine the standard price of a pair of socks.
Step-by-step explanation:
The information that we know is...
- Michael purchased four pairs of socks.
- After utilizing a $2 off coupon, he spent $7.16.
We're expected to figure out what formula we should apply to get the standard price of a pair of socks so...
We start by writing 4p.
4 represents a pair of socks, and p represents the normal price of socks.
4p - 2
Then subtract 2 since he utilized a $2 off coupon.
4p - 2 = 7.16
Lastly, add = 7.16 because he paid in total $7.16.
So, 4p - 2=7.16 is a formula that can be used to determine the standard price of a pair of socks.
Hope this helps! :D
John works at Klein’s Dry Cleaning. He earns $8. 45 per hour. If John worked 39 hours this week, what is his pay? *
Answer:
330.05
Step-by-step explanation:
because if you do 8.46x 39 you will get 329.65 and you have to change it because 65 is over 60 and then you change it to 330.05
Find the area of the irregular figure.
Answer: 432 sq ft.
Step-by-step explanation: I decomposed the figure above into halves where the dotted line is drawn. I multiplied 25 x 10 to find the area of the rectangle on the right, pretending for now that it is a complete rectangle, which equals 250. Then, I subtracted 15 from 25, which equals 10, to find the length of the right triangle that’s missing to make the right half of the decomposed figure a rectangle. Then I multiplied 10 x 10, or 10 to the second power divided by 2 because 10 x 10 would be the formula to find a rectangle, and a right triangle is half of a rectangle so you would divide by 2. 10 x 10 divided by 2 because equals 50. 250 - 50 = 200. Next, you do the same thing for the other half of the irregular figure. I subtracted 4 from 25 to get 21. Then, I multiplied 21 x 16 divided by 2 which equals 168. Now, you multiply 25 x 16 which equals 400. 400 - 168 = 232. 200, the answer for the area of the other half of the decomposed figure, must be added to 232 to find your answer for the total area.
Express the first 10 terms of a sequence 2,5,8,11 in sigma notation
Use the graph to answer the question.
On a coordinate plane, a circle has center (4, negative 1) and radius of 5.
Which equation describes the circle?
(x – 4)2 + (y + 1)2 = 25
(x – 4)2 + (y + 1)2 = 5
(x + 4)2 + (y – 1)2 = 25
(x + 4)2 + (y – 1)2 = 5
Answer: A
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
A
Step-by-step explanation:
[tex]\frac{4}{5} + \frac{2}{5} = \frac{6}{5} \\Simple make it improper, resulting in answer A[/tex]
Hope this helps!