Answer:
B
Step-by-step explanation:
if its less than 1 it shrinks
The correct statement is; Pentagon M’N’P’Q’R is smaller than pentagon MNPQR because the scale factor is smaller than 1.
What is the scale factor?The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.
If a polygon is dilated by a scale factor = k
Rule to be followed as;
(x, y) → (kx, ky)
Here, k = Scale factor
If 0 < k < 1, size of the image will be reduced.
Similarly, k > 1, size of the image will be enlarged.
We are given that Pentagon MNPQR is dilated with the origin as the center of dilation to form an image M'N'P'Q'R'.
Rule used for the transformation,
(x, y) → (1/4x, 1/4y)
Here, the scale factor through which MNPQR has been dilated is 1/4.
Since, scale factor is between zero and 1/4, size of M'N'P'Q'R' will be reduced.
Therefore, the size of pentagon M'N'P'Q'R' will be 1/4 smaller than pentagon MNPQR.
Option (2) is the answer.
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MARKING BRAINLEIST IF CORRECT
d ; x = 36 degrees
Step-by-step explanation:Straight angle = 180 degrees
The Acute angle = 2x
The Obtuse angle = 3x
2x + 3x = 180
5x = 180
x = 180/5
x = 36
in a random sample of 66 residents of the state of maine, the mean waste recycled per person per day was 1.31.3 pounds with a standard deviation of 0.450.45 pounds. determine the 95�% confidence interval for the mean waste recycled per person per day for the population of maine. assume the population is approximately normal. step 2 of 2 : construct the 95�% confidence interval. round your answer to one decimal place.
The confidence interval lies between (0.827754, and 1.77225).
What is confidence interval ?
An area created using fixed-size samples of data from a population( sample space) that follows a particular probability distribution is known as a confidence interval. A named population statistic is erected into the interval with a specified probability. A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. The 95 confidence position is the most popular, still other situations, similar to 90 or 99, are sometimes used when calculating confidence intervals. A confidence interval is a set of figures that we're nicely confident represent our true value. A named population statistic is erected into the interval with a specified probability.Here, sample mean x = 1.3
sample standard deviation s = 0.45
and sample size n = 6
The 95% confidence interval for the mean waste recycled
= 1.3 - [tex]\frac{0.45}{\sqrt{6} }[/tex] X [tex]t_{0.025'}[/tex] 1.3 +[tex]\frac{0.45}{\sqrt{6} }[/tex] X [tex]t_{0.025'}[/tex]
= 1.3 - [tex]\frac{0.45}{\sqrt{6} }[/tex] X 2.57058 , 1.3 +[tex]\frac{0.45}{\sqrt{6} }[/tex]X 2.57058
= (0.827754, 1.77225)
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Two rectangular solar panels, A and B, are mathematically similar. Panel A has a diagonal of 90 centimetres and an area of 4020 square centimetres. A 90 cm B 125 cm A salesman claims that panel B, with a diagonal of 125 centimetres, will be double the area of panel A. Is this claim justified?
I just need the points gggggggg
Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18. They set up the situation with the equation below, where x is the number of pairs of pants. Is there a situation in which they pay the same amount for their purchases? Select all the statements that correctly represent this situation. 17.95x + 24 = 18.95x + 18
Cost of Kersey and Jeana is reported. x=6 that is when they each purchase a sweater and six pairs of pants.
Given that,
Kelsey spends $24 on a pullover and $17.95 each on numerous pairs of uniform pants. At a different store, Jeana purchases a sweater for $18 and several pairs of uniform pants for $18.95 apiece.
Cost for Kersey is reportedly;
$17.95 per pair of pants
$24 for each sweater
If there are x pants.
The overall price for Kersey is then;
17.95x + 24
Cost for Jeana, we are informed, is;
$18.95 for each pair of pants
Sweater price: $18
If there are x pairs of pants.
Therefore, Jeana's overall cost is;
18.95x + 18
In the following circumstances, their overall cost will be equal:
17.95x + 24 = 18.95x + 18
18.95x - 17.95x = 24 - 18
x = 6
Therefore, x=6 that is when they each purchase a sweater and six pairs of pants.
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Alva has 4 packs of pencils. There are 15 pencils in each pack. She wants to put an equal number of pencils into 6 pencil pouches. Which expression would show how many pencils can go in each pencil pouch?
4÷15×6
(15×4)÷6
(15÷4)×6
4×15×6
Mr. Sid spends 2 5 of his salary on food and 3 10 of the remaining on house rent and electricity. If he keeps the remaining part of his salary as savings, what fraction of his salary does he save?
The fraction of his salary he does save is 3/10, on the basis that Mr. Sid spends 2/5 of his salary on food and 3 10 of the remaining on house rent
What fraction of total salary is saved?
The fraction of the salary saved means the proportion of total salary that is neither spent on food nor on house rent, it can determined as the total salary minus the fractions spent on food and house rent respectively
If assume that the total salary is 1, when deducting 2/5 and 3/10 from 1 we can determine the part that is saved
savings=1-(2/5)-(3/10)
if lcm is 50, we would have the below
savings=(50-20-15)/50
savings=15/50
savings=3/10
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Rehan is on holiday in the USA.
Rehan buys
1 pair of trainers costing $60
The exchange rate is $1 = £0.749
Rehan says,
“The trainers cost less than £40”
Rehan is wrong.
Using a suitable approximation, estimate the cost of the trainers in pounds
The cost of the trainers in pounds which is $60 in the USA is £44.94
What is exchange rate?
The exchange rate between the dollar and the pound sterling is the amount at which both currencies exchange hands, I mean the amount of pound sterling that is given in lieu of $1, in this case, for every $1, the amount of pound sterling that is equivalent to it is £0.749, which means that on the basis of the exchange rate the value of trainers in pounds can be determined as shown in details below:
$1 = £0.749
$60=60*£0.749
$60=cost a pair of trainers=£44.94
In short, a pair of trainers selling for $60 in the USA should cost £44.94 based on the exchange rate of $1 = £0.749
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Anna is saving some money. She started with $350 and continues to save an additional $25 a month. 4 Write an algebraic expression that represents the total amount that she saves after m months.
Answer:
y = 25m + 350
Step-by-step explanation:
She already has 350 and every month she will add an additional 25
Answer:
Anna saving her money from m months is 375
15. Which of the following numbers has the largest value?
9/2, 4 1/2, 4.505, 4.550
Answer:
4.550.
Step-by-step explanation:
Converting to decimal form:
9/2 = 4.5
4 1/2 = 4.5
4.505
4.550
The largest is 4.550.
Can someone help with this?
Answer:
10[tex]\sqrt{15}[/tex] + 21[tex]\sqrt{10}[/tex]
Step-by-step explanation:
-\sqrt{15}(-10-7\sqrt{6})
−
15
(−10−7
6
)
expand -sqrt15(-10-7sqrt6)
1 Expand by distributing terms.
-(-10\sqrt{15}-21\sqrt{10})
−(−10
15
−21
10
)
2 Remove parentheses.
10\sqrt{15}+21\sqrt{10}
10
15
+21
10
translate the following verbal statement into an algebraic equation and then solve: use x for your variable. the quotient of three more than a number and six is nine.
Answer:
2x)\9
Step-by-step explanation:
Answer:
X+3/6=
Step-by-step explanation:
lucy left half of her money to her daughter and half that amount to her son. she also left a sixth to her brother and the remainder, 1,000 was left to the dog. how much did she leave altogether?
The original amount is 12000
How to compute the valueFraction to daughter = 1/2
Fraction to son = 1/2 × 1/2 = 1/4
Brother = 1/6
The remainder is 1000. The fraction for the remainder will be:
= 1 - (1/2 + 1/4 + 1/6)
= 1 - (6/12 + 3/12 + 2/12)
= 1 - 11/12
= 1/12
Therefore, let the original amount be x
1/12x = 1000
x = 12 × 1000
x = 12000
The original amount is 12000.
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How is the graph of the parent function y=1/x transformed to create the graph of y=-1/3x?
It is horizontally stretched by a factor of 3 and reflected over the y-axis.
A. It is translated 3 units down and reflected over the x-axis.
B. It is horizontally compressed by a factor of 3 and reflected over the x-axis.
C. It is translated 3 units down and reflected over the y-axis.
D. It is horizontally stretched by a factor of 3 and reflected over the y-axis
It is horizontally compressed by a factor of 3 and reflected over the x-axis.
How to determine the transformation?The parent function is given as:
y = 1/x
When the above function is compressed by a factor of 3, the function becomes
y = 1/3x
Next, when the above function is reflected over the x-axis or the y-axis, the function becomes
y = -1/3x
Hence, the transformation is (b) it is horizontally compressed by a factor of 3 and reflected over the x-axis.
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Answer:
The qzz answers to whole thing for "transformations of functions" on Edg. is the following:
1) B
2) A
3) A
4) B
5) B
6) C
7) C
8) A
9) D
10) B
Step-by-step explanation:
Trust me! I got 100% :)
13 1. What is the volume of the cone shown below?
5 cm
13 cm
Note: The figure is not drawn to scale.
the volume of the cone when radius is cm and height is 13 cm is 340.34 cm³
What are derived units?
Defining a derived unit is the process of deriving a measurement unit from one or more of the seven base units of the International System of Units (SI). There are two types of derived units: dimensionless and the product of base units.
Here, the given data for cone are :
radius of base r = 5 cm = 0.05 m
height of cone h = 13 cm = 0.13 m
Now, the volume V of cone is given by :
V = 1/3 πr²h
Now, finding the volume of cone by substituting the values in above equation :
V = 1/3 πr²h
V = 1/3 π x (5)² x 13
V = 340.34 cm³
Therefore, the volume of the cone is 340.34 cm³
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What does 1 whole 1/5 - 2 wholes 3/4 =
Carlos sold 7 cherry pies and 4 blackberry pies for a total of $71. Elisa sold 3 cherry pies and 4 blackberry pies for a total of $51. What is the cost each of one cherry pie and one blackberry pie?
The cost of one cherry pies is $ 5 and the cost of one blackberry pies is $ 9.
Let the cost of cherry pies be x and the cost of blackberry pies be y.
In case of Carlos, we get the equation as:
7 x + 4 y = 71 …(1)
In case of Elisa, we get the equation as:
3 x + 4 y = 51
4 y = 51 - 3 x …(2)
Put equation (2) in equation (1)
7 x + 51 - 3 x = 71
4 x = 71 - 51
4 x = 20
x = 20 / 4
x = 5
4 y = 51 - 3 (5)
4 y = 51 - 15
4 y = 36
y = 36 / 4
y = 9
Therefore, we get that, the cost of one cherry pies is $ 5 and the cost of one blackberry pies is $ 9.
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Solve! Quickly, 25 points!
Answer:
can you resend the picture again because its not clear plss
For the past 15 months, Frank recorded the cost of his monthly home heating bill and the corresponding average monthly temperature. He displayed the information in the scatter plot shown.
Use the drop-down menus below to complete the statements about the scatter plot.
A scatter plot with average monthly temperature (degrees Fahrenheit) on the x-axis, and monthly heating bill (dollars) on the y-axis. Points trend in a line with a negative slope. Points are around (10, 155), (30, 120), (50, 80), (70, 25), (80, 18).
Point (25,125) means that the monthly home heating bill was $
for an average monthly temperature of
°F.
The plot shows that, in general, as the average monthly temperature increases, the amount of the monthly home heating bill
.
From the given scatter-plot, we have that:
Point (25, 125) means that the monthly home heating bill was of $125 for a month with average temperature was of 25ºF.The plot shows that, in general, as the average monthly temperature increases, the amount of the monthly home heating bill decreases.What does a scatter plot show?A scatter plot shows a series of points (x,y), relating the input x to the output y.
For the scatter-plot in this problem, we have that:
The input x is the monthly temperature.The output y is the heating bill.The points are given as follows:
(10, 155), (30, 120), (50, 80), (70, 25), (80, 18).
When x = 25, y = 125, meaning that the monthly home heating bill was of $125 for a month with average temperature was of 25ºF.
From the points in the scatter plot, when x increases, y decreases, which is the answer for the second item of the question. It makes sense, as when it is hotter, the spending in heaters is unnecessary.
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Can someone please help mee (20 points + brainliest!!!)
Answer:
m = - 1 and b = - 4
Step-by-step explanation:
the equation of a line in slope= intercept form is
y = mx + b (m is the slope and b the y- intercept )
here slope m = - 1 , then
y = - x + b ← is the partial equation
to find b substitute (- 3, - 1 ) into the partial equation
- 1 = 3 + b ⇒ b = - 1 - 3 = - 4
y = - x - 4 ← equation of line
with m = - 1 and b = - 4
Two circles C₁ and C₂ have their centres at the point (3,4) and touch a third circle, C3.
The centre of C3 is at the point (0,0) and its radius is 2.
What is the sum of the radii of the two circles C₁ and C₂?
The sum of the radii of the two circles C₁ and C₂ is 4 units
Given data
Two circles C₁ and C₂ have their centres at the point (3,4)
The centre of C3 is at the point (0,0) and its radius is 2
And C1 and C2 is touching C3
How to find the sum of the radii of the two circles C₁ and C₂Since the two circles have same centre and touch a third circle at same point, The two circles have equal radius r
The distance, d from the origin using point x and y given is solved for as follows:
d^2 = x^2 + y^2
d^2 = 3^2 + 4^2
d^2 = 9 + 16
d^2 = 25
d = √25
d = 5
Radius if the two circles is 5 - 3 = 2
One of the radius is 2 hence sum of the two radii
= 2 + 2
= 4 units
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61% of men consider themselves professional baseball fans. you randomly select 10 men ask each if he considers himself a professional baseball fan. find the probability that the number who consider them themselves baseball fans is
The probability is 0.1932 that a randomly selected man considers himself a professional fan.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
We have been given data as:
The number of randomly selected men, n = 10.
Probability of success, that a randomly selected man considers himself a professional fan, p = 61% or 0.61
Probability of failure, that a randomly selected man does not consider himself a professional fan is:
⇒ q = 1 − p = 1 − 0.61= 0.39
The probability that the number of men who consider themselves professional fans is:
⇒ ⁿcₓpˣqⁿ⁻ˣ
Substitute exactly x = 5
⇒ ¹⁰c₅(0.61)⁵(0.39)¹⁰⁻⁵
⇒ ¹⁰c₅(0.61)⁵(0.39)⁵
⇒ 0.1932
Therefore, the required probability is 0.1932.
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Express the following volume as a monomial.
9m²n⁴
Answer:
3^2m^2n^4
Step-by-step explanation:
3^2m^2 * n^4
What is the sum and classification of StartFraction 3 Over 20 EndFraction + StartRoot 10Which is the decimal expansion of StartFraction 7 Over 22 EndFraction?EndRoot?
The sum of the fraction given in decimal will be 3.46.
How to calculate the fraction?It should be noted that the information is for us to simply add the values that are given.
This will be:
= 3/20 + ✓10
= 0.3 + 3.16
= 3.46
Therefore, the sum of the fraction given in decimal will be 3.46.
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Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
The slope of the line is: 1.
How to Find the Slope of a Line?Slope of a line (m) = rise of the line / run of the line.
Given the line in the diagram, the image attached below shows the run of the line, which is the blue line, and the rise of the line, which is the red line.
Rise of the line = 2 units
Run of the line = 2 units
Slope of the line = 2/2
Slope of the line = 1
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a researcher wishes to estimate the proportion of all adults in north carolina who own a cell phone. the researcher takes a random sample of 1572 adults; 1298 of them own a cell phone. the population of interest is:
The result for the research is given as
The population of interest comprises all adults.The parameter of interest is the numbers of adults owing cell phones.The statistic involved 0.83.We don't know the exact proportion.What is statistic?Statistics is the survey as well as manipulation of data, which includes methods for gathering, reviewing, analyzing, and drawing conclusions from data.
Statistics is divided into two categories: descriptive statistics and inferential statistics.Statistics can be conveyed at various levels, from non-numerical descriptors (nominal-level) to numeric values in regard to a zero-point (ratio-level).To collect statistical data, a variety of sampling techniques such as simple random, systematic, stratification, or cluster sampling can be used.Statistics can be found in almost all of department of every corporation and are also an important part of investing.Now, as per the given question.
The population of interest consists of all adults.The relevant parameter is p, which is the proportion of adults who have a cell phone.The statistic is the proportion, p, of the 1572 adults in the sample who own a cell phone. The sample proportion stands at 0.83.We don't know the exact proportion with 100% certainty, but we know it's in a certain range with a certain degree of certainty.To know more about the statistics, here
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The complete question is -
A researcher wishes to estimate the proportion of all adults who own a cell phone. he takes a random sample of 1,572 adults; 1,298 of them own a cell phone, hence 1298∕1572 ≈ .83 or about 83% own a cell phone.
1. what is the population of interest?
2. what is the parameter of interest?
3. what is the statistic involved?
4. based on this sample, do we know the proportion of all adults who own a cell phone?
What is the equation of the line that is perpendicular to the line y = 6 and passes through the point (-4,-3)?
x=-4
x = -3
x = -1/6
x = 6
Hence , equation of the line that is perpendicular to the line y = 6 and passes through the point (-4,-3) is x = -4 which is option (a) .
The equation of line is an pure mathematics sort of representing the set of points, that along type a line in a very system. the various points that along type a line within the axis square measure painted as a collection of variables x, y to make an pure mathematics equation, that is named as an equation of a line.The line y = 6 could be a horizontal line through the purpose (0,6) on the coordinate axis. A line perpendicular thereto are vertical and thru the coordinate axis. this suggests its equation are x = a wherever a is that the x-coordinate. Since it should experience the purpose (-4,-3) then the equation is x = -4.
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A rental car company charges $37. 50 per day to rent a car and $0. 05 for every mile driven. Alyssa wants to rent a car, knowing that: she plans to drive 100 miles. She has at most $200 to spend. Write and solve an inequality which can be used to determine xx, the number of days alyssa can afford to rent while staying within her budget
Answer: 4 Days
Step-by-step explanation:
To drive a 100 miles you would do 0.05*100=5
it cost 37.50 everyday and if you add the 5.00 it would cost to drive the 100 miles you get 42.50-200=157.50
37.50*4=150+42.50=192.50
she could rent the car for 4 days
Contains (5, 8) and is parallel to the graph of y = 7x - 6.
The required equation of the line is y = 7x–27.
The general equation of the line is y = mx + c.The given equation of the line is y = 7x–6.The slope (m) of the line is 7.The slope should be the same for another line to be parallel to this one.The required equation of line is of the form y = 7x + c.We know that the required line passes through the given point(5, 8).So, (5, 8) should satisfy the equation of the line.y = 7x + c8 = 7*5 + c8 = 35 + cc = –27Thus, the required equation for the line is y = 7x–27.To learn more about the slope, visit :
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HEY I NEED HELP ASAP CAN YOU HELP? WILL GIVE BRAINLYIST
show your work or explain your reasoning in mathematical terms. Be specific. Draw a picture if you need to.
Question:
Abdul wants to put a rug in a square room that has an area of 775 square feet. He wants to leave a 3-foot border of bare floor on each side. What are the dimensions of the rug rounded to the nearest hundredth?
The dimensions of the rug which Abdul would use in discuss as described in the task content are; 21.84 ft by 21.84 ft.
What are the dimensions of the rug rounded to the nearest hundredth?It follows from the task content that the dimensions of the rug which Abdul would use in the room in discuss are to be determined.
Since the room Abdul wants to put a rug on is; 775 ft² and the room is a square room.
It follows that all sides of the room are equal and the length of each side can be determined as;
s = √Area; since Area = s².
s = √775
s = 27.839 ft.
Hence, the dimensions of the room is; 27.839 ft by 27.839 ft.
However, since he wants to leave a 3-foot border of bare floor on each side, it follows that the dimensions of the rug on each axis would be;
= 27.839 - 3 -3 = 21.839 ft on all sides.
Consequently, the dimensions of the rug rounded to the nearest hundredth are; 21.84 ft by 21.84 ft.
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How do I do this? How do I get from figure F to figure onto figure G?
Answer:
The answer would be to flip figure F across the y axis then across the x axis. It would then lie on figure G.
Step-by-step explanation: