From verification
OH = 25
MS=35
So OH + MS = 25 + 35 = 60CM
Also,
Diameter of OH is 50cm = 25cm + 25cm = 50cm
and finally
The ratio of the circumference of S to the circumference of M is equal to the ratio of ES to MS
157/219.8 = 25/35
So,
Option C
Option E and
OPtion F are correct statements
The rest are incorrect
Find the point at which the line f(x)=2x+10 intersects the line g(x)=−3x−5 .
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Answer:
(x, y) = (-3, 4)
Step-by-step explanation:
A graphing calculator answers this question quickly. The point of intersection is (-3, 4).
__
The lines intersect where f(x) = g(x).
2x +10 = -3x -5
5x = -15 . . . . . . . . add 3x-10
x = -3 . . . . . . divide by 5
f(-3) = 2(-3) +10 = 4 . . . . . find the y-coordinate
The point is (-3, 4).
Someone please help me with this ASAP
Answer:
B. Fixed fee for Company B is greater than Company A
Step-by-step explanation:
Company A:
A(n) = $0.99 + $0.25n
The function above is given in slope-intercept form, A(n) = mx + b (rewritten as A(n) = b + mx)
The unit rate (m) = per minute fee = $0.25
Fixed fee (b) = $0.99)
Company B: let's find the fixed fee (b), which is the y-intercept.
The y-intercept is the point on the y-axis where the line intercepts the y-axis.
If we draw a straight line, we would observe that the y-intercept (b) would be between 1.20 and 1.40.
Therefore, fixed fee for Company B would be between $1.2 and $1.4. this is greater than the fixed fee for Company A, which is $0.99.
Therefore, the statement that must be true is:
B. Fixed fee for Company B is greater than Company A
The midpoint of UV is point W. What are the
coordinates of point V?
10
8
O (8,9)
0 (-6, -14)
O (2, -23)
6
4
2
0 (s. ]
ㅇ [1]
2
4
6
8
10
X
-10 8 6 4 22
4 6
.
6
W 3.-7) 8
- 10
Answer:
(2,-23)
Step-by-step explanation:
It was just luck I'm starting Geometry this year.
The midpoint of line segment UV is given by M ( -11/2 , 1 )
What is the midpoint of two points?The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.
Measure the distance between the two end points, and divide by 2.
Let A ( x₁ , y₁ ) be the first point
Let B ( x₂ , y₂ ) be the second point
The midpoint between A and B is M ( a , b ) where
a = ( x₁ + x₂ )/2
b = ( y₁ + y₂ ) / 2
Given data ,
Let the first point be U ( -8 , 9 )
Let the second point be V ( -3 , -7 )
Now , midpoint between U and V is M ( a , b ) where
a = ( x₁ + x₂ )/2
b = ( y₁ + y₂ ) / 2
On simplifying , we get
a = ( -8 + -3 ) / 2
b = ( 9 - 7 ) / 2
On further simplification , we get
a = -11/2
b = 1
Hence , the midpoint is M ( -11/2 , 1 )
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In a biology class, the final grade is based on several things; a lab score, scores on two major tests, ad score on the final exam. There are 100 points availablefor each score. However, the lab score is worth 25% of the total grade, each major test is worth 22.5%, and the final exam is worth 30%. Compute the weighted average for the following scores: 92 on the lab, 81 on the first major test, 93 on the second major test, and 85 on the final exam.
Assume the supply and demand functions for a manufacturing company are:
Supply: p= 2/3q-250 Demand: p= -4/3q + 750
where p is the price per unit in dollars and q is the quantity in units. Find the equilibrium quantity.
O 1,000
750
O250
O 100
O 500
In the diagram, point D is the center of the medium-sized circle that passes through C and E, and it is also the center of the largest circle that passes through A and G. Each of the diameters of the small circles with centers B and F equals the radius of the medium-sized circle with center D. The shaded area is what fraction of the largest circle?Single choice.
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Answer:
5/8
Step-by-step explanation:
The area of the smaller circles is proportional to the square of the ratio of their diameters. The two smallest circles have diameters equal to 1/4 the diameter of the largest circle. Hence their areas are (1/4)^2 = 1/16 of that of the largest circle.
Similarly, the medium circle has a diameter half that of the largest circle, so its area is (1/2)^2 = 1/4 of the are of the largest circle.
The smaller circles subtract 2×1/16 +1/4 = 3/8 of the area of the largest circle. Then the shading is 1-3/8 = 5/8 of the area of the largest circle.
At a local print shop, 14 copies can be made for $4. At this rate, how how many copies could be made for $8?
Full explanation (No links)
Answer:
28
Step-by-step explanation:
the ratio is written as copies/dollars.
14/4=x/8
since we can multiply 4 by 2 to get 8, multiply 14 by 2 as well.
14/4=28/8
Eliminate the parameter in the equations x = t^1/3 and y = t – 4. How can the rectangular equation be described?
This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.
Elimination of the parameter means to rewrite the equations in terms of only x and y. To do this, substitute t from one equation into the other equation. Here, the two equations are:x = t1/3 and y = t – 4Substitute t from the first equation into the second equation:y = (x^3) – 4Now the equation is in terms of x and y only.
This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.The rectangular equation, y = (x^3) – 4 can be plotted on a graph. It is a cubic equation. The graph will look like a curve that passes through the point (0, -4) and continues to move towards infinity. The graph will be symmetric to the origin because the equation involves an odd power of x.
If the equation involved an even power of x, the graph would be symmetric to the y-axis. The graph will never touch the x-axis or y-axis, it will only approach them.In conclusion, the rectangular equation y = (x^3) – 4 is derived from the two parameter equations, x = t1/3 and y = t – 4. The graph of this equation is a cubic curve that is symmetric to the origin. The curve passes through (0, -4) and approaches the x and y-axes but never touches them.
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evaluate -3 + (-4) * (-8)
Step-by-step explanation:
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Boris started on the treadmill after setting timer for 99 minutes. The display says he have finished 43% of his run. How many minutes have gone by. Round to the nearest tenth
the population of a small town, P, as a function of time, t, in years past 1940 is given below.
P= 1304 + 300t
The population grew to 5650 in 13.48 years .
Given,
Population of town in 1940 is a function given by:
P= 1304 + 300t
Now,
Let total number of population after certain years be 5650.
Let t1 be the year in which the population reached a count of 5650. Solve for t1:
5650= 1304 + 300t1
t1 = 13.48 years
The population grew to the number 5650 in 13.48 years past 1940, approximately 1954 .
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what is the area of a coat button that has a radius of 6 millimeters. express your answer in terms of .
The required area of the coat button with given radius of 6 millimeters is equal to 113.04 square millimeters.
Radius of the coat button is equals to 6 millimeters
let us consider 'A' be the area of the circle.
And 'r' be the radius of the circle.
Use the formula for the area of a circle we have,
A = πr^2
π (pi) is a mathematical constant approximately equal to 3.14.
Plugging in the given value of the radius we have,
⇒ A = π(6mm)^2
⇒ A = 36π mm^2
⇒ A = 36 × 3.14mm^2
⇒ A = 113.04 mm^2
Therefore, the area of the coat button is 113.04 square millimeters.
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The sampling distribution of the ratio of two independent sample variances selected randomly from normal populations with equal variances is:
Answer: F distribution. chi-square distribution. t distribution. normal distribution.
Step-by-step explanation:
PLS LOOK AT PIC AND HELP ME!! I’m being timed pls help :((
what is the proportion of 22/3
Answer:
not to sure but is it 733.333333333333%
Step-by-step explanation:
One hall can accommodate 65 people. How many halls are required to accommodate 520 people?
8 halls would be required to accommodate 520 people in the hall.
As we know that a hall can accommodate 65 people.
To determine the number of hall required for 520 people,
first we need to find that how many halls would be required for one person,
So, we will divide the 1 by 6 to find :
The number of one person accommodate = 1/65 Hall
Then, 520 people required to accommodate = 1/65 × 520
= 8 Halls.
[Accommodate: to have enough space for somebody/something, especially for a certain number of people]
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The dot plot represents an order of varying shirt sizes.
A number line going from 8 to 26. 0 dots are above 8. 1 dot is above 10. 3 dots are above 12. 3 dots are above 14. 5 dots are above 16. 4 dots are above 18. 2 dots are above 20. 1 dot is above 22. 1 dot is above 24. 0 dots are above 26.
Which histogram represents the same data?
A graph shows shirt size labeled 2 to 3 thru 22 to 24 on the horizontal axis and number of shirts on the vertical axis. 0 shirts are size 2 to 3. 0 shirts are size 6 to 8. 4 shirts are size 10 to 12. 11 shirts are size 14 to 16. 12 shirts are size 18 to 20. 8 shirts are size 22 to 24.
A graph shows shirt size labeled 2 to 3 thru 22 to 24 on the horizontal axis and number of shirts on the vertical axis. 0 shirts are size 2 to 3. 0 shirts are size 6 to 8. 11 shirts are size 10 to 12. 11 shirts are size 14 to 16. 12 shirts are size 18 to 20. 8 shirts are size 22 to 24.
A graph shows shirt size labeled 2 to 3 thru 22 to 24 on the horizontal axis and number of shirts on the vertical axis. 0 shirts are size 2 to 3. 0 shirts are size 6 to 8. 4 shirts are size 10 to 12. 8 shirts are size 14 to 16. 6 shirts are size 18 to 20. 2 shirts are size 22 to 24.
A number line going from 1 to 13. 0 dots are above 1. 2 dots are above 2. 1 dot is above 3. 0 dots are above 4. 0 dots are above 5. 0 dots are above 6. 2 dots are above 7. 3 dots are above 8. 0 dots are above 9. 0 dots are above 10. 4 dots are above 11. 3. dots are above 12. 0 dots are above 13.
The histogram that represents the same data as those represented by the dot plot is: third graph.
What are Dot Plots?Dot plots involves the use of dots to represent each data point in a given data distribution.
The data represented by the third histogram perfectly represents the data in the dot plots because the frequency of each group represented by the bins in the histogram tallies with those we have that are represented by each dot in the dot plot.
Therefore, the histogram that represents the same data as those represented by the dot plot is: third graph.
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2logb - 3logb = log8b - log4b
Answer:
b=1/2
Step-by-step explanation:
2logb - 3logb = log8b - log4b
log\(b^{2}\) - log\(b^{3}\) = log8b - log4b
log(\(\frac{1}{b}\)) = log(2)
∴1/b = 2
∴b = 1/2
line of best fit gina wilson. It says stuff about Hannah as a baby and her weight. plz help
please help me answer the question
Answer: y = 3
Step-by-step explanation:
I also recodem SYMBOLAD
Choose the equation that represents a line that passes through points (-6, 4) and (2.0).
If angle 1 has a measurement of x and angle 2 has a measurement of 3x what does x equal what are the true measurements of angle 1 and 2
x=45°
angle 1=45°
angle 2= 135°
ps are you sure you've written the question properly??
Sixteen players participated in a tennis tournament. Three players will be awarded for first, second, and third prize. In how many different ways can first, second and third prizes be awarded?
Answer:
Total number of ways in which first, second and third prizes will be awarded = 560
Step-by-step explanation:
As given,
There are 16 players participated in a tennis tournament.
and 3 players will be awarded for first, second, and third prize.
As we know,
ⁿCₓ = \(\frac{n!}{x! (n-x)!}\)
n = the number of items.
x = how many items are taken at a time.
As given, n = 16 , x = 3
⇒¹⁶C₃ = \(\frac{16!}{3! (16-3)!} = \frac{16!}{3! (13)!} = \frac{16.15.14.13!}{3! (13)!} = \frac{16.15.14}{3!} = \frac{16.15.14}{3.2.1} = \frac{3360}{6} = 560\)
∴ we get
Total number of ways in which first, second and third prizes will be awarded = 560
What is the area of the triangle? PLEASEE HELP ME
Answer: I believe the answer is 60 square miles.
Step-by-step explanation:
Base = 8, height = 15
A= 15*8/2 = 60
graph the line passing through (−4,−1) whose slope is m=-4/5
Answer:
\(y=-\frac{4}{5}x-\frac{21}{5}\)
Step-by-step explanation:
The fastest way is to use point-slope form with \(m=-\frac{4}{5}\) and \((x_1,y_1)=(-4,-1)\):
\(y-y_1=m(x-x_1)\\y-(-1)=-\frac{4}{5}(x-(-4))\\y+1=-\frac{4}{5}(x+4)\\y+1=-\frac{4}{5}x-\frac{16}{5}\\y=-\frac{4}{5}x-\frac{21}{5}\)
To graph the line passing through (-4,-1) with slope m = -4/5, we can use the slope-intercept form of the equation of a line, which is:
y = mx + b
where m is the slope and b is the y-intercept.
Substituting m = -4/5, x = -4, and y = -1, we can solve for b:
-1 = (-4/5)(-4) + b
-1 = 3.2 + b
b = -4.2
Therefore, the equation of the line is:
y = (-4/5)x - 4.2
To graph the line, we can plot the given point (-4,-1) and then use the slope to find additional points. Since the slope is negative, the line will slope downwards from left to right. We can find the y-intercept by setting x = 0 in the equation:
y = (-4/5)x - 4.2
y = (-4/5)(0) - 4.2
y = -4.2
So the y-intercept is (0,-4.2).
Using this point and the given point (-4,-1), we can draw a straight line passing through both points.
Here is a rough sketch of the graph:
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The point (-4,-1) is marked with an asterisk (*), and the y-intercept (0,-4.2) is marked with a dash. The line passing through these two points is the graph of the equation y = (-4/5)x - 4.2.
Help me with math and explain it In a short solution
The vertical line x = -9 and horizontal line y = 8 gives the point :
\((-9,\text{ 8)}\)Explanation
A plot of the lines is shown on the graph below.
Where the horizontal and vertical lines intersect gives the required point
Answer: option B
Order the values from least (on top) to greatest (on bottom).
64%
0.65
5/8
Convert them all into decimals. Percent is just 0.--, and the fraction you can calculate out which gives: 0.625=5/8,0.64=64%
5/8
64%
0.65
Find - 7.8 + (- 12) + (-82.3).
O 102.1
O – 102.1
0 -91.3
O-62.5
Answer:
-102.1
Step-by-step explanation:
When adding negative numbers, act as if you are subtracting that same number, but in its positive form.
So in reality, you could rewrite the equation as: (-7.8) - 12 - 82.3 = -102.1
If an air conditioner is rated at 16000 BTU per hour, how many watts does it require? Round to the nearest 100 watts
The number of watts will be 4700 watts to the nearest 100 watt.
How to calculate the value?It should be noted that 1 watt equals to 3.41 Btu per hour.
In this case, the air conditioner is rated at 16000 BTU per hour.
Therefore, the number of watt will be:
= 16000/3.41.
= 4692
= 4700 watts to the nearest 100 watt.
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. A box contains 10 balls, numbered 1 through 10 (so the balls are distinct). a. A ball is drawn from the box at random. Compute the probability that the number on the ball was 3, 4, or 5. b. A ball is chosen at random and then a second ball is chosen at random from the remaining nine balls. Find the probability that the numbers on the two selected balls differ by 2 or more. c. Three balls are chosen (with replacement). Find the probability that the sum of the numbers on the balls is even.
Answer:
A) 0.30
B) 0.9
C) 0.4
Step-by-step explanation:
Number of balls = 10
A ) probability that a ball drawn at random is numbered 3,4 or 5
number on ball to be drawn = 3 i.e 3,4 or 5
total number of balls = 10
hence the probability = 3 / 10 = 0.30
B ) probability that number written on two different balls drawn at random differs by 2 or more
p( numbers differ by 1 ) = 9 * (1/10) * (1/9) = 0.1
p( numbers on two balls differ by 2 or more ) = 1 - p( numbers differ by 1 )
= 1 - 0.1 = 0.9
C ) Probabilty that the sum of the numbers on 3 balls chosen is even
even numbers = 5 which are ( 2,4,6,8,10 )
The even numbers that can be gotten by summation of three balls are
(4.6,8,10 ) = 4
hence the probability of picking three balls with replacement whose sum = even number will be
= 4 / 10 = 0.4