The transformation for circle 1 exists (x+9), (y+5) and the scale factor of circle 1 exists 2.
What is a scale factor?Scale exists described as the ratio of the length of any object on a model to the actual length of the exact object in the entire world.
What is the transformation rule?The function transformation rules: f(x)+b changes the function b units upward. f(x)−b shifts the function b units downward. f(x + b) shifts the function b units to the left.
Circle 1
center: (−4, −2)
Radius: 3 centimeters
Circle 2
center: (5, 3)
Radius: 6 centimeters
Transformations can be used to circle 1 to verify that the circles exist similar.
As circle 2 and circle 1 do not contain the exact coordinates
So, circle 1 has to utilize transformation rules.
The difference between the coordinates of circle 2 and circle 1 exists
[tex]$x_2 - x_1 = 5 - (-4 ) = 9[/tex]
[tex]y_2 - y_1 = 3 - (-2) = 5[/tex]
Therefore, transformation for circle 1: (x+9), (y + 5)
The scale factor between circle 2 and circle 1 exists
The radius of Circle 2 = 2 [tex]*[/tex] radius of circle 1
Therefore, the scale factor of circle 1 = 2
Therefore, the transformation for circle 1 exists (x+9), (y+5), and the scale factor of circle 1 exists 2.
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Given the series below, find S29.
{13+4+(−5)+(−14)+(−23)+...}
Select one:
a. -2,480
b. -2,752
c. -3,016
d. -3,277
Answer:
d
Step-by-step explanation:
there is a common difference between consecutive terms in the series, that is
4 - 13 = - 5 - 4 = - 14 - (- 5) = - 23 - (- 14) = - 9
this indicates the series is arithmetic with sum to n terms
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
here a₁ = 13 and d = - 9 , then
S₂₉ = [tex]\frac{29}{2}[/tex] [ (2 × 13) + (28 × - 9) ]
= 14.4(26 + (- 252))
= 14.5(26 - 252)
= 14.5 × - 226
= - 3,277
How do you find
arcsin (-1)
By the definition of inverse functions, we will get:
[tex]arcsin(-1) = -pi/2[/tex]
How to find the arcsin of -1?The function arcsin(x) is the inverse of the sine function, such that, if:
[tex]sin(x) = y\\\\arcsin(y) = x[/tex]
Now, we know that:
[tex]sin( -pi/2) = -1[/tex]
Where pi = 3.14
Then, using the above rule:
[tex]arcsin(-1) = -pi/2[/tex]
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find the volume of a sphere with a raduis of 3 in.
Answer:
V≈113.1in³.
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How much wood is needed to replace the entire roof of this gazebo that is in the
shape of a right pyramid on top of a regular octagon? (Note: The roof's base does
not require wood.)
The programmer at a local public radio station is compiling data on listeners who stream podcasts. an executive for the national broadcaster has communicated that the overall population mean is 20,500 with a standard deviation of 2,180. the local programmer has a sample of 30 podcasts for her station. by the central limit theorem, which interval do about 99.7% of the sample means fall within?
The interval in which 99.7% of the sample means fall within 3 standard deviations of the mean is 19,306 to 21,694.
What is the central limit theorem?According to the central limit theorem,
Sample mean = Population mean = μ
Sample standard deviation = (Population standard deviation)/√n = σ/√n
where n is at least 30.
Calculation:It is given that,
The overall population mean = 20,500
Population standard deviation σ = 2180
Sample size n = 30
Since n = 30, the central limit theorem can be applied.
According to the Empirical rule(68-95-99), 99.7% of the sample means fall within the 3 standard deviations of the mean.
So, the interval is calculated by
Sample mean = Population mean = μ = 20500
Standard deviation(sample) = σ/√n
⇒ S = 2180/√30 =398.011 ≅ 398
Thus,
The lower bound = 20500 - 3 × 398 = 19,306
The upper bound = 20500 + 3 × 398 = 21,694
Therefore, the required interval is from 19,306 to 21,694.
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Select the correct answer. Identify the expression equivalent to 4(x + x + 7) - 2x + 8 - 4 by substituting x= 1 and x = 2.
A. 6x + 11
B. 3(x + 7)
C. 2(3x + 16)
D. 3x + 16
Answer:
C is correct
Step-by-step explanation:
I'm not sure what the substituting part has to do anything, but here is how I got the answer
4(x+x+7)-2x+8-4
4(2x+7)-2x+4
8x+28-2x+4
6x+32
Factor and you get
2(3x+16), which is answer choice C
You can check that the answer is right by plugging in x=1 and x=2 into the original equation and the answer choice, which may be what that is asking.
uppose you want to test the value of the mean in a population. You collect a random sample of 60 which yields a sample mean and sample standard deviation. You only know sampled information to perform the test. What type of procedure is appropriate for your data
To test the value of the mean in a population when only sample mean and sample deviation are known to perform the test then it is appropriate to use z-test procedure.
What is a Z-test?
A statistical method of testing a hypothesis is the z-test where either:
We are aware of the population variance, which is equal to 2.Despite the fact that we are unsure of the population variance, our sample size, n 30, is sizable. In this instance, we estimate the population variance using the sample variance.A t-test unlike of z-test must be used if the sample size is less than 30 and the population variance is unknown.Additional prerequisites for using the z-test include the following:
Data must follow a normal distribution.Independent data points are required.The variances for each sample must be equal.To know more about the z-test..........
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what’s ten times ten
A science test, which is worth 100 points, consist of 24 questions. Each question is worth either 3 points or 5 points. If X is the number of 3 point questions and why is the number of 5 point questions, the system shown represents this situation. X+y=24, 3x+5y=100. What does the solution of this system indicate about the questions on the test?
Answer:
x= 10 y=14 : 10 3 point, 14 5 point
Step-by-step explanation:
Write your equation down vertically,
3x + 5y = 100
x + y = 24
Next find multiply bottom equation by one number from the tops opposite,
3x + 5y = 100
(-3)x +(-3)y = (-3)24
3x + 5y = 100
-3x - 3y= -72
Add the two functions to isolate y
2y= 28 y=14
Plug y back into original and solve
3x +5(14) =100 --> 3x + 70 =100 --> 3x = 30 x=10
can someone please help me
Answer:
Cos (3pi/4) =0.999154554
Sin (3pi/4)=0.041111762
Step-by-step explanation:
On your calculator there should be SIN and COS next to each other
#1 tap COS
#2 put your given numbers, in this case
COS(3pi/4) = 0.999154554
same goes for SIN
SIN (3pi/4)=0.041111762
(FIRST TO ANSWER GETS BRAINLIEST OR 5 STARS) For consecutive weeks, the manager of a local restaurant collected data on the number of cheese pizzas sold each week. The data is shown in the scatterplot below.
(scatterplot is below)
Can the given line be used to make reasonable predictions of the number of cheese pizzas that will be sold in upcoming weeks? Explain your reasoning.
Yes, the line can be used to make reasonable predictions of the number of cheese pizzas that would be sold in the upcoming weeks. This is because the line is the line of best fit
Line of best fitFrom the question, we are to determine if the line can be used to make reasonable predictions of the number of cheese pizzas that would be sold in the upcoming weeks
In the graph, we have a scatterplot.
The line drawn is the line of best fit
Hence,
Yes, the line can be used to make reasonable predictions of the number of cheese pizzas that would be sold in the upcoming weeks. This is because the line is the line of best fit.
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P(x) · Q(x) = R(x); if P(x) = x + 1 and R(x) = 2x³ + 2x²- 3x-3, what is Q(x)?
A. 2x² - 3
B. 2x² - 2
C. 2x² + 2
D. 2x² + 3
Answer: A
Step-by-step explanation:
[tex]P(x) Q(x)=R(x)\\\\(x+1)Q(x)=2x^3 + 2x^2 - 3x-3\\\\Q(x)=\frac{2x^3 + 2x^2 - 3x-3}{x+1}\\\\Q(x)=\frac{2x^2 (x+1)-3(x+1)}{x+1}\\\\Q(x)=2x^2 - 3[/tex]
write an equation for the graph of a linear function that has slope -1/3 and a y intercept -3
Answer: y=-(1)/(3)x-3
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Given: Circle X with Radius r and circle Y with radius s
Prove: Circle X is similar to Circle Y
It can be proved that Circles X and Y are similar.
How can we prove that the circles are similar?We were told that circle Y have a radius of s
And X have the Radius r
Going with the theorem that Similar shapes are proportional, we can find the scale factor from circle X to circle Y by making a division on the radii of both circles.
Then the scale factor is [tex]\frac{s}{r}[/tex] which implies that circle Y will gotten by dilation of circle Y.
Therefore, both circles are similar
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The compound inequality 8.00 ≤ x < 9.50 represents all values, x, for which college students are paid hourly as teacher assistants. What is another way of writing this compound inequality?
x ≤ 8.00 and x < 9.50
x ≤ 8.00 or x < 9.50
x ≥ 8.00 and x < 9.50
x ≥ 8.00 or x < 9.50
Answer:
The 3rd answer down
Step-by-step explanation:
If I broke apart the initial answer, I would see that x is equal to or greater than 8 and x is less than 9.5
The function f is defined by f(x)=2-x. If 2f(p)=8, what is f(2p)?
If function 'f' is defined by f(x)=2-x and 2f(p)=8 then the value of f(2p) is 6.
Given, f(x) = 2-x
Solve this problem by making a series of substitutions.
First, find the value of p.
Then use the definition of the function f to find the value of f(2p).
We are given
f(x) = 2 - x
Multiply both sides by 2, and simplify.
2f(x) = 2(-x +2)
2f(x) = -2x + 4
Let x = p.
2f(p) = -2(p) + 4
We are given that 2f(p) = 8.
Substitute 20 for 2f(p).
8 = -2p + 4
2p = -4
p = -2
Now we know that p = -2, so we can find f(2p).
f(x) = -x + 2
f(2p) = -2p + 2
Substitute -2 for p.
f(2p) = -2(-2) + 2
f(2p) = 4 +2
f(2p) = 6
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Decide whether the triangles are similar. if so, determine the appropriate expression to solve for x. triangles abc and edf; triangle abc has angle a measuring 53 degrees, angle c measuring 62 degrees, side ac labeled as y, side ab labeled as w, and side bc labeled as x; triangle edf has angle d measuring 61 degrees, angle f measuring 53 degrees, side de labeled z, side ef labeled u, and side df labeled r.
Answer:
Step-by-step explanation:
Similar Triangle:
Two triangles are comparable if they have the same ratio of corresponding sides and equal pairs of corresponding angles.If more figures have the same shape, but their sizes are different, then such objects are referred to as similar figures. Consider a hula hoop and wheel of a cycle, the shapes of each of those gadgets are much like every other as their shapes are equal.
Triangle ABC has angles of 53 and 62 degrees....the sum is 115 degrees. The third angle must be 180 - 115 = 65 degrees.
A triangle with one angle = 61 degrees cannot be similar
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Answer: The triangles are not similar; no expression for x can be found.
Question 20
Points 3
The height of a lighthouse is 98 meters and the distance between the top of the lighthouse and boat is 125 meters. Find the distance
between the bottom of the lighthouse and the boat.
O 125 m
O 77.6 m
The distance between the bottom of the lighthouse and the boat is 77.6m.
What is the distance between the bottom of the lighthouse and the boat?
The lighthouse and the boat would form a right triangle. The height would be the height of the lighthouse. The distance between the top of the lighthouse and boat would be the hypotenuse. The distance between the bottom of the lighthouse and the boat would be the base.
In order to determine the required distance, Pythagoras theorem would be used.
The Pythagoras theorem: a² + b² = c²
where:125² = 98² + b²
b² = 125² - 98²
b = √(25² - 98² )
b = 77.6m
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the cost of 4 ice cream cones from the snack bar was $10.40. if each ice cream costs the same amount, which model correctly illustrates the relationship? check all that apply
Meredith found the following partial containers of detergent in the basement: 12 quart, 114 gallons, and 34 gallon. how many quarts of detergent did meredith find in all?
Quarts of detergent 1208
First, we convert each unit to its pint equivalent.
1 gallon =eight US Pint
114 gallons =114 X eight =912 Pint
34 gallon =34 X 8 =272 Pint
further, 1 quart =2 Pint
12 quart = 12 X 2 Pint =24 Pint
including the three values
912+272+24=1208 Pint
therefore, Meredith will want 1,208 Pint boxes.
The unitary technique is a way of solving trouble by way of first finding the fee of a single unit, and then finding the essential value with the aid of multiplying the unmarried unit price.
The system of the unitary technique is to locate the fee of an unmarried unit after which multiply the fee of a single unit to a wide variety of devices to get the vital fee.
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5. The two rectangles are similar. Which is the correct proportion that can
be used to find the missing side?
12/4=x/20
12/4=x/8
12/8=x/4
4/12=x/8
Answer:
The second choice.
Step-by-step explanation:
Correspond sides are in the same ratio
12/4 = x/8
.
How many non-square numbers lie between the 215to the power of 2 and 216 to the power of 2
There are 430 non square numbers that lie between [tex]215^{2}[/tex] and [tex]216^{2}[/tex].
Given two numbers [tex]215^{2}[/tex] and [tex]216^{2}[/tex] and we are require to find non square numbers that lie between them.
Numbers can be consecutive numbers or non consecutive numbers. In our question we will find the consecutive numbers.
Square numbers are those numbers whos square is in a proper number means decimal should not be there.
First number=[tex]215^{2}[/tex]
Second number=[tex]216^{2}[/tex]
First we have to find the exact value of numbers by finding the square of these numbers.
First number=215*215=46225
Second number=216*216=46656
Numbers that lie between them=(46656-46225)-1
=431-1
=430
Hence 430 numbers lie between [tex]215^{2}[/tex] and [tex]216^{2}[/tex].
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Consider the function f(x)=x2 bx c. if the minimum of this function is located at point (2,0), then what are the values of b and c?
The values of b and c are -4 and 4 respectively
How to determine the values of b and c?The function is given as:
f(x) = x^2 + bx + c
Differentiate f(x)
f'(x) = 2x + b
Set to 0
2x + b = 0
Solve for b
b = -2x
The minimum is (2, 0).
So, we have:
b = -2 * 2
b = -4
Substitute b = -4 in f(x) = x^2 + bx + c
f(x) = x^2 - 4x + c
Substitute (2, 0)
0 = (2)^2 - 4(2) + c
This gives
0 = 4 - 8 + c
Evaluate
c = 4
Hence, the values of b and c are -4 and 4 respectively
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a carpool contains three kindergartners and five first-graders. if two children are ill, find the probability tyhat at lease one of them
The probability that at least one of them is a kindergartner; 0.643.
What is probability?Calculating or estimating how likely something is to occur is what probability is all about. The likelihood of an event occurring can be expressed using words like "certain," "impossible," or "probable."
Probabilities are always expressed in mathematics as fractions, decimals, or percentages with values ranging from 0 to 1.
Calculation for the probability of the one of them is a kindergarden;
The total number of children is 8.
The total number of kindergarden are 3.
The total number of first graders are 5.
Let 'P' be the probability that at least one of them is kindergarden.
P(at least one kindergartner) = 1 - P(no kindergartner) = 1 - P(all first-graders)
The probability that all are first-graders = (5/8)×(4/7)
= 5/14
Therefore, P(at least one kindergartner) = 1 - (5/14)
= 9/14
= 0.643
Therefore, if two children are ill then, the probability that at least one of them is a kindergartner is 0.643.
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The correct question is-
A carpool contains three kindergartners and five first-graders. if two children are ill, find the probability that at least one of them is a kindergartner.
twice a certain number is 58. 4 times that number will be
a) 4x58 b) 58 + 4 c) 58x2 d)8x58
Answer:
c) 58x2
Step-by-step explanation:
Twice the number 29 is 58
So, 29 is related to 58
Therefore 29*4 = 58*2
The citizens of a state may only register to vote after proving to have submitted their census survey.
The citizens of a state may only register to vote after proving to have submitted their census survey is a "false" statement.
What is census survey?In order to create statistics that define populations and their characteristics, such as age, education, housing, and income, the U.S. Census Bureau compiles data from households.
The purpose of census survey are-
We obtain this information by posing questions to members of the household regarding the occupants of the home, apartment, mobile home, or group housing.The census helps our communities decide where to build everything from homes to hospitals, from schools to supermarkets, and it provides information about who we are as a country and where we are headed. It aids in the government's decision-making about the allocation of cash and assistance to cities and states.It aids in predicting the nation's economic needs, such as those for electricity, housing, food, etc. figuring out the country's population size, standard of life, and number of unemployed people.To know more about census, here
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The complete question is-
The citizens of a state may only register to vote after proving to have submitted their census survey.(True/False)
help me with this pls asap
Answer:
your picture is blank if you can fix it i will be glad to help you
Step-by-step explanation:
Answer:
First option
Step-by-step explanation:
The line corresponds to the f(x).
Hope this helps
Point W is on line segment \overline{VX} VX . Given VX=4x,VX=4x, VW=3x,VW=3x, and WX=5,WX=5, determine the numerical length of \overline{VX}. VX .
The numerical length of VX is undefined
How to determine the numerical length of VX?The given parameters are
VX = 4x
VW = 3x
WX = 5x
Point W is on line segment VX
So, we have
VX = VW + WX
This gives
4x = 3x + 5x
Evaluate
4x= 8x
The above equation is false
Hence, the numerical length of VX is undefined
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Maria is creating a round stained glass window like the one below. She needs to cut the dark pink glass to the correct size to fit into the frame. At what angle (x) should she cut the glass so that it fits if she knows the arc measure of a is 35º and the arc measure of b is 45º. What does x equal?
Applying the angle of intersecting chords theorem, the value of x is: 40º.
What is the Angle of Intersecting Chords Theorem?According to the angle of intersecting chords theorem the following equation is true:
x = 1/2(a + b).
Given the following:
a = 35º
b = 45º
Plug in the values
x = 1/2(35 + 45)
x = 1/2(80)
x = 40º
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Evaluate. (-3 2/3)^2
Answer:
answer is 121/9
Step-by-step explanation:
13.4444444444 (decimal form)
121/9 (improper fraction form)
13 4/9 (mixed fraction form)