The circle below is centered at the origin and has a radius of 7. What is its
equation?
OA. 2²-2²=7
OB.x²-2²=49
O C. x² +²2² = 7
D. ²+² = 49
-10
10
O
10
Answer:
x² + y² = 49
Since, the equation of a circle is,
\((x-h)^2 + (y-k)^2 = r^2\)
Where,
(h, k) is the center of the circle,
r = radius of the circle,
Here,
(h, k) = (0, 0) ⇒ ( origin ),
r = 7 units,
Hence, the equation of the circle is,
\((x-0)^2 + (y-0)^2 = 7^2\\\\x^2 + y^2 = 49\)
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Question 17
2 pts
(CO 3) Among teenagers, 73% prefer watching shows over the internet, rather than through
cable. If you asked 48 teenagers if they preferred watching shows over the internet, rather
than through cable, how many would you expect to say yes?
36
48
35
73
p(5)=
p(1 or 2)=
p(odd number)=
p(not 6)=
p(even number)=
p(1,2,3,or 4)=
The probabilities, we need to understand the context. Assuming we are working with a fair six-sided die, where each face has an equal chance of landing, here are the probabilities:
P(5): Since there is only one face with a value of 5 on the die, the probability of rolling a 5 is 1/6.P(1 or 2): There are two faces with the values 1 and 2 respectively. Since these are mutually exclusive events (you can only roll one of them at a time), the probability of rolling a 1 or a 2 is 2/6, which simplifies to 1/3.P(odd number): Out of the six faces, three are odd numbers (1, 3, and 5). So, the probability of rolling an odd number is 3/6, which simplifies to 1/2.P(not 6): Since there is only one face with a value of 6, the probability of not rolling a 6 is 5/6.P(even number): Out of the six faces, three are even numbers (2, 4, and 6). So, the probability of rolling an even number is 3/6, which simplifies to 1/2.P(1, 2, 3, or 4): There are four faces with the values 1, 2, 3, and 4. Therefore, the probability of rolling any of these numbers is 4/6, which simplifies to 2/3.For such more questions on probability
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What’s 43,3000 In square route
Answer:
658.027355054
Step-by-step explanation:
There are six pizzas there are 36 players on the team. If each member has one slice and each pizza has eight slices how much pizza in fraction form will be left over.
There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.
To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.
Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.
Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.
To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.
Therefore, there will be 12 slices of pizza left over.
To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.
If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.
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Denise bought a book that cost $9.95, a set of bookmarks that cost $1.95, and a magazine that cost $4.95. What was the cost of these three items all together before tax?
Answer:16.05 $
Step-by-step explanation: Put all the numbers in a vertical format and add them all up
9.95
+1.15
+4.95
--------
16.05
Solve two fifths plus two sevenths please help fast you only get 1 minute mark brainiest
First, you will want to get the denominators of both fractions to be the same, the easiest way to do this is by multiplying the denominators, so 5 x 7 = 35
next you need to do the same for the numerators, so 2 x 7 = 14 and 2 x 5 = 10
now you have the equation 14/35 + 10/35
next, you add the numerators. so, 14 + 10 = 24
therefor, 2/5 + 2/7 =24/35
so your answer is 24/35
Answer:
c
Step-by-step explanation:
the guy is a champ
the cost of a family membership at the health club is $58 per month plus a one-time $129 startup fee if a family spend $651 how many months in their membership
Answer:
Step-by-step explanation:
58 x 12 = 696 696 + 129 = $825 for a year
they are 9 months in
The large hand of a clock is 28 inches long; how many inches does its extremity move in 20 minutes?
The extremity of the large hand of the clock moves approximately 1.54 inches in 20 minutes.
How does a clock function ?
The large hand of a clock completes a full rotation in 12 hours, or 720 minutes. This means that it moves 360 degrees in 720 minutes, or 0.5 degrees per minute. Since the length of the hand is 28 inches, we can use trigonometry to find out how far its extremity moves for a certain angle.
Calculating the length that the extremity of the large hand of the clock moves :
The angle that the large hand moves in 20 minutes can be found by multiplying the number of minutes by the rate at which it moves:
angle = \(20 \times 0.5 = 10\) degrees
Using trigonometry, we can find the distance that the extremity of the hand moves by finding the length of the arc of the circle that corresponds to a 10-degree angle, with the radius being 28 inches:
arc length = \((angle/360) \times 2 \times \pi \times 28\)
\(= (10/360) \times 2 \times \pi \times 28\)
\(= 1.54\) inches
Therefore, the extremity of the large hand of the clock moves approximately 1.54 inches in 20 minutes.
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.
Miguel baked cupcakes and gave 1/5 of them to George, 1/4 of them to Vicki, and took the rest to his aunt. What percent of cupcakes did he give to his aunt?
Answer:
55%
Step-by-step explanation:
He gave 1/5 + 1/4 to his friends which is equal to 9/20 = 45/100 = 45%
The rest he gave to his aunt. (100-45)% = 55%
Bean Seed Growth Temp 25 20 15 10 Days S 7 9 If the trend continues, how many days will it take at 10 degrees?
The needed number of days at 10 degrees is given as follows:
11 days.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.For this problem, we have that when x decreases by 5, y increases by 2, hence the slope m is given as follows:
m = -2/5
m = -0.4.
Hence the time needed for a temperature of 10 degrees is given as follows:
9 + 2 = 11 days.
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What is the decimal version of 28/80*
Answer:
0.35
Step-by-step explanation:
Answer:
The decimal form of 28/80 is 0.35.
Figure A is a scale image of Figure B.
What is the value of x?
FAST!!! 20 POINTS AND THE BRAINLIEST FOR THE FIRST CORRECT ANSWER
Answer:
21
Step-by-step explanation:
If A 45 translates to be 35, then x can be given by (35×27)÷45 =21
There are 30 days in November.
It’s rains on 3/5 of them
Work out the number of days when it does not rain.
(3/5) × 30 = 3 × 6 = 18 days it won't rain
30 - 18 = 12 days it will rain
hope it helps...!!!
PLEASE HELP ME QUICKLY PLEASE SOMEBODY I WILL GIVE BRAINLIEST
Answer:
.
Step-by-step explanation:
What is the sum of 27 and r
Answer:
27+r
Step-by-step explanation:
Answer:
27 + r
Step-by-step explanation:
The sum of 27 and r is 27 + r
Since 27 + r cannot be simplified, 27 + r is our answer.
Hoped this helped
Write the expression without using exponents.
(−9x)4
The expression (-9x)^4 can be represented as -6561x^3 without using exponents.
To express the expression (-9x)^4 without using exponents, we can expand it by multiplying the base (-9x) four times using the multiplication property.
(-9x)^4 = (-9x) * (-9x) * (-9x) * (-9x)
To simplify this expression, we can multiply the terms together, taking care to apply the rules of multiplication:
(-9x) * (-9x) = (-9 * -9) * (x * x) = 81 * x^2 = 81x^2
So, by substituting this result back into the original expression, we get:
(-9x)^4 = 81x^2 * (-9x) = -6561 x^3
Therefore, the expression (-9x)^4 can be represented as -6561x^3 without using exponents.
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12.3456Val measures the diameter of a ball as 14 inches. How many cubic inches of air does this ball hold, to thenearest tenth? Use 3.14 for it.The ball holds aboutcubic inches of air.
Volume of a sphere = (4/3) * Pi * r^3
Diameter = 14 inches ==> radius = diameter/2 = 14/2 = 7 ==> r = 7
\(V\text{ = }\frac{4}{3}\cdot\pi\cdot r^3=\frac{4}{3}\cdot3.14\cdot7^3=\frac{4}{3}\cdot3.14\cdot343=\frac{4}{3}\cdot1077.02=\frac{4308.08}{2}=2154.04\)Answer:
About 2154 cubic inches
Please Help! The base of a triangular prism has a base rent of 7 feet and a height of 3 feet the prism is 4 feet tall a second larger prism has dimensions that are three times the dimensions of the small prism what is the difference between the volumes of the two prisms?
Answer: 1092
Step-by-step explanation:
Answer:
1092
Step-by-step explanation:
Are these two triangles similar or congruent How do you know?
The given triangles are similar but not congruent.
Similar triangles mean the angles of the triangles are similar but the lengths of their sides vary. Whereas in congruent triangles, both the angles and the lengths of the sides are equal.
Hence, we can say 'All congruent triangles are similar.' But 'All similar triangles may or may not be congruent triangles.'
From the figure, we have:
\(\angle\) F ≅ \(\angle\)C = 60 ---- Angles F and C are corresponding
\(\angle\)D ≅ \(\angle\)G = 53 ---- Angles D and G are corresponding
\(\angle\)H ≅ \(\angle\)E = 67 ---- Angles H and E are corresponding
Add the above angles,
Sum = 60+53+67
Sum = 180
The sum of the angles equals 180 degrees,
Hence. the triangles are similar triangles.
since the length of their sides varies greatly. they are not congruent.
Hence, the given triangles are similar but not congruent.
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The complete question is -
Are these two triangles similar or congruent How do you know?
Someone please help answer !
Choose the number that is closest to the mean of the distribution
The mean of the distribution is 3
What is arithmetic mean?Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean. One of the basic methods used to acquire a result, the term "Mean" is commonly used in the field of statistics.
The formula for the mean of a given set of data is as follows:
Mean = Sum of Observations/Total number of observations
According to the first graph,
Given the bar of observations as :
0, 5, 6, 3, 1, 1, 3, 6, 4, 1
Here the Sum of Observations = 30
And the total number of observations = 10
The mean of the distribution = 30/10
The mean of the distribution = 3
According to the second graph,
Given the bar of observations as :
0, 1, 3, 3, 9, 0, 9, 4, 4, 1
Here the Sum of Observations = 34
And the total number of observations = 10
The mean of the distribution = 34/10
The mean of the distribution = 3.4
The mean of the distribution = 4 (closest)
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The figure shows four box-and-whisker plots. These represent variation in travel time for four different types of transportation from the beginning to the end of one route.
Conrad is at one end of the route. He is trying to decide how to get to an appointment at the other end. His appointment is in 30 minutes. Which type of transportation is LEAST likely to take more than 30 minutes?
Select one:
a.
bus
b.
car
c.
subway
d.
train
Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.
How to Interpret a Box-and-whisker Plot?
In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.
The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.
Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.
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Answer the following questions10. How much interest will be earned in 3 years from $730placed in a savings account at 6.5% simple interest?
Compound Interest Formula
\(A=P\times(1+rt)\)where A is the accrued amount, P is the principal amount, r the rate, and t the time.
From our problem we can get:
• P = $730
,• r = 6.5% = 0.065
,• t = 3
Replacing them in the formula:
\(A=730\times(1+(0.065)\times(3))\)Simplifying:
\(A=730\times(1+0.195)\)\(A=730\times(1.195)\)\(A=872.35\)Answer: $872.35
Help me pls pls pls
Help Please 5/8 x 4/7
Answer:
5/14
Step-by-step explanation:
Please help me. Thnx
Answer:
-2.42, -0.8, 0.33, 1.23
Step-by-step explanation:
The amount of snowfall during the first 5 hours of a winter storm is modeled by the piecewise function shown. Which statement describes the snowfall? The amount of snowfall was increasing the entire time. The amount of snowfall was decreasing the entire time. The amount of snowfall was constant for two hours. The amount of snowfall was decreasing for two hours.
Answer:
C. The amount of snowfall was constant for two hours
Step-by-step explanation:
Name the characteristics a shape has to have to be defined as the following:
Quadrilateral
Triangle
Square
For a shape to be defined as a quadrilateral it has to have 4 sides.
For a shape to be defined as a triangle it has to have 3 sides, with the angles adding up to 180°
For a shape to be defined as a square it has to have 4 sides and angles. The angles must add up to 360° with equal side and angle length.
Answer:
Shapes are the outlines formed from a given area of figure. The characteristics of shapes vary and depend on what the given shape is. Here are the characteristics of a quadrilateral, triangle, and square.
1. Quadrilateral- Quadrilaterals should have four sides and four corners. As long as these two are present, you can call any shape a quadrilateral regardless of how it is formed.
2. Square- A square is a quadrilateral, so it must contain four sides and four corners. However, a square has its sides and corners equally made.
3. Triangle- A triangle should have three sides or vertices and three corners.
Step-by-step explanation:
What’s 55000 x 62188??
Answer:
3,420,340,000
Step-by-step explanation:
Answer:
3420340000
Step-by-step explanation:
Planes A and B are shown.
m
n
B
MA
If a new line, p, is drawn parallel to line /, which
statement is true?
O
Line p must be drawn in plane B.
O Line p must be perpendicular to line m.
O Line p must be drawn so that it can lie in the same
plane as line /
O Line p must be drawn in the same plane as line n.
The line which is on the same plane can be parallel, two lines are never parallel when they are in different planes, so option C is correct.
What is a line?An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.
Given:
The given planes are A and B,
A new line, p, is drawn parallel to line l,
Line l in the diagram is located on plane A. Line p must be drawn on plane A in order to be parallel to line l. As a result, line p, which is located on plane B, will be perpendicular to line n and parallel to lines l and n.
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The image of the remaining question is attached below.