The scale factor will be 1.5. The corresponding angles are congruent because the size is changed not the angles.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
Adnan wants a larger garden.
He draws the triangle ΔPQR to show his original garden.
He wants to enlarge a garden, so he uses a dilation to form the image of the triangle ΔPQ'R'.
He uses vertex P as the center of the dilation.
The ratio of the corresponding sides will be given as
PQ'/PQ = Q'R'/QR = R'P/RP = 1.5
The scale factor will be 1.5.
The corresponding angles are congruent because the size is changed not the angles.
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Grace is an hourly employee
Answer:
full question Grace is an hourly employee, and the line that models her total pay in dollars
as it relates to the number of hours she has worked has a slope of 45 and a y
intercept of 35. Which statement is true?
A. Grace's wage is $35 an hour, and it appears that she received a
signing bonus of $45.
B. Grace's wage is $35 an hour, but it appears that she received no
signing bonus.
C. Grace's wage is $45 an hour, and it appears that she received a
signing bonus of $35.
D. Grace's wage is $45 an hour, but it appears that she received no
signing bonus.
Step-by-step explanation:
if x is the amount of hours worked, 45 is the slope and the y intercept is 35.
A linear equation has the form of y = ax + b, where a is the slope and b is the y-intercept, then the equation that we have is:
y = 45*x + 35
this means that she wins $45 per hour, and has a plane amount of $35, indiferent of the amount of hours worked.
Then the correct answer is
C) Grace's wage is $45 an hour, and it appears that she received a signing bonus of $35.
Answer:
wow........mmm.................
SOMEONE PLEASE HELP ME
Answer:
A= 77/2 or 38.5 cm^2 and p= 29.5 cm
Step-by-step explanation: Remember the formula for area and perimeter for a triangle A=1/2bh and P= a+b+c. So the equations would look like A=1/2 x 11 x 7 and P= 11 + 11 + 7.5 and that'll result in A= 77/2 or 38.5 cm^2 and p=29.5 cm.
What is the complete factorization of x2 4x − 45? a. (x 15)(x − 3) b. (x − 9)(x 5) c. (x 9)(x − 5) d. (x − 15)(x 3)
The complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)
How to determine the complete factorization?The expression is given as:
x² + 4x - 45
Expand the equation
x² + 4x - 45 = x² + 9x - 5x - 45
Factorize the expression
x² + 4x - 45 = x(x + 9) - 5(x + 9)
Factor out x + 9
x² + 4x - 45 = (x - 5)(x + 9)
Hence, the complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)
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Answer:
Factor x2+4x−45 using the AC method. (x+9) (x−5)
Step-by-step explanation: so B
Suppose a car rental firm wants to estimate the average number of kilometers traveled per day by each of its cars rented in a certain city. A random sample of 20 cars rented in that city reveals that the sample mean travel distance per day is 85.5 kilometers, with a population standard deviation of 19.3 kilometers. Compute a 99% confidence interval to estimate Q. (2 points) Interpret your answer. (1 point)
Using the z-distribution, it is found that the 99% confidence interval to estimate Q is (74.4, 96.6). The interpretation is that we are 99% sure that the true mean for all cars rented in the city is between these two values.
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.
The other parameters of the interval are given as follows:
[tex]\overline{x} = 85.5, \sigma = 19.3, n = 20[/tex].
Hence the bounds of the interval are given as follows:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 85.5 - 2.575\frac{19.3}{\sqrt{20}} = 74.4[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 85.5 + 2.575\frac{19.3}{\sqrt{20}} = 96.6[/tex]
The interpretation is that we are 99% sure that the true mean for all cars rented in the city is between these two values.
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simplify 8w+12/4 and make it correct
Answer:
[tex]8w+\frac{12}{4}[/tex] = 8w+3
[tex]\frac{8w+12}{4}[/tex] = 2w+3
Step-by-step explanation:
For [tex]8w+\frac{12}{4}[/tex], you can divide 12 by 4 which is three.
For [tex]\frac{8w+12}{4}[/tex], you have to divide each term. 8w is the same as 8·w. 8·w/4 is 2·w. 12/4 is 3.
The correct value of this simplified expression is 8w + 3
This question is related to algebraic expression and simplification.- Algebraic expression is a mathematical sentence that involves letters accompanied by real numbers, where it can be a variable or unknown.
- Simplification of a number is just the division of the same divisor by the numerator and denominator.
Given the expression: 8w+12/4, the only term in this expression that can be simplified is the fraction. So let's divide these two numbers by the number 2:
8w + 12 / 4
8w + 12 ÷ 2 / 4 ÷ 2
8w + 6 /2
It is still possible to simplify this expression - dividing the numerator by the denominator, so:
8w + 6 /2
8w + 6 ÷ 2
8w + 3
Therefore, the correct answer of this expression will be 8w + 3
The line passes through points A (6:0) and B(O:4). Write the equation of the line.
Answer:
y = (-2/3)x + 4 or
3y = -2x + 12
Step-by-step explanation:
Slope of line passing through (x₁, y₁) and (x₂, y₂) is given by
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
In this particular case where the points are (6,0) and (0,4) we get the slope as (4-0)/(0-6) = -2/3
Equation of a line with slope m and y intercept c is given by
y = mx + c
substituting for m we get the equation y = (-2/3)x + c
Substituting the first point (6,0) we get
0 = (-2/3)(6) + c or -4 + c = 0 or c =4
Therefore y = (-2/3)x + 4 or multiplying both sides by 3 we get
3y = -2x + 12
What percentage of bolivians are catholic? 77% 82% 87% 92%
According to a survey report in 2018, the percentage of Bolivians that are Catholics is about: A. 77%
Who are the Bolivians?The Bolivians are people from the country, Bolivia. The country Bolivia is described a predominantly Catholic country as a result of its relations between the Church and the state.
Based on a survey report in 2018, about 77% of Bolivians were said to be Catholics.
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Answer:
1. b- El trópico
2. A- 77%
Step-by-step explanation:
got a 100 and i jus took the test
Tua wanted to teach his pet raven to count because they are very smart birds. He used various fruits and nuts to represent numbers. A peanut = 1 A grape = 2 peanuts 14 is represented by an acorn and 3 grapes. An acorn is worth half a plum. What is the value in fruits and nuts, of two plums and a peanut, divided by a grape and a peanut?
The value of two plums and a peanut, divided by a grape and a peanut is 11
How to solve the expression?The given parameters are:
Peanut = 1Grape = 2 Acorn + 3 grapes = 14Acorn = 1/2 PlumSubstitute Grape = 2 in Acorn + 3 grapes = 14
Acorn + 3 *2 = 14
Acorn + 6 = 14
Subtract 6 from both sides
Acorn = 8
Substitute Acorn = 8 in Acorn = 1/2 Plum
8 = 1/2 Plum
Multiply both sides by 2
Plum = 16
So, we have:
Peanut = 1
Grape = 2
Acorn = 8
Plum = 16
The value of two plums and a peanut, divided by a grape and a peanut is:
(2 plums + peanut)/(grape + peanut)
This gives
(2 * 16 + 1)/(2+ 1)
Evaluate
11
Hence, the value of two plums and a peanut, divided by a grape and a peanut is 11
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help me please!!! i cant do these
Answer:
sec(B)=b. ab/bc
sin(B)=c. ac/ab
csc(B)=f. ab/ac
cot(B)=a. bc/ac
tan(B)=e. ac/bc
cos(B)=d. bc/ab
Step-by-step explanation:
SOHCAHTOA
Sine=Opposite/Hypotenuse
Cosine=Adjacent/Hypotenuse
Tangent=Opposite/Adjacent
SHACHOCotAO
Secant=Hypotenuse/Adjacent
Cosecant=Hypotenuse/Opposite
Cotangent=Adjacent/Opposite
If the hypotenuse of the triangle below is 8√2, what is the leg?
Answer:
8
Step-by-step explanation:
The side lengths of this special right triangle is as follows:
The side length that sees angle measure 90 (hypotenuse) is represented with x[tex]\sqrt{2}[/tex]
and
the side length that sees angle measures 45 (the legs) is represented with x
hypotenuse is given as 8[tex]\sqrt{2}[/tex] so we can easily find the value of x and legs in this case
x = 8
Feeling anxious about another pandemic induced run-on toilet paper, Mrs. Phillips is making room in a closet for hording Angel Soft toilet paper. Using the Fermi process, she wants to estimate the number of rolls of toilet paper she can fit into a rectangular section of a closet with dimensions of length 36 inches, width 36 inches, height 108 inches.
One Angel Soft MEGA roll has a diameter 5 inches, height 3.75 inches.
About how many Angel Soft MEGA rolls can be fit into the closet space?
Show all math work needed to complete this problem.
For closet
It's a rectangle
L=36inB=36inH=108inVolume
LBH36²(108)(36)³(3)139968in³For rolls:-
Cylindrical body
radius=r=5/2=2.5inHeight=h=3.75inVolume:-
πr²hπ(2.5)²(3.75)π(6.25)(3.75)73.6in³Total rolls:-
Volume of closet /Volume of rolls139968/73.61901.71902 rollsAnswer:
1372
Step-by-step explanation:
Rectangular closet dimensions:
length = 36 inwidth = 36 inheight = 108 inModelling the roll of toilet paper as a cylinder with dimensions:
diameter = 5 inheight = 3.75 inIf we sit the rolls of toilet paper in the closet with their circular ends as their bases, then we can calculate the number of rolls that cover the base of the closet by dividing the length (and width) of the closet by the diameter of the toilet roll.
⇒ 36 in ÷ 5 in = 7.2 in
Therefore, we can fit 7 toilet rolls along the length and 7 toilet rolls along the width of the closet, meaning that we can fit 7 × 7 = 49 toilet rolls over the base of the closet.
Now calculate how many toilet rolls we can stack on top of each other.
To do this, divide the height of the closet by the height of the toilet roll:
⇒ 108 in ÷ 3.75 in = 28.8
Therefore, we can stack 28 layers of 49 toilet rolls in the closet.
So the total number of toilet rolls = 28 × 49 = 1372
There are other ways of stacking the toilet rolls in the closet (for example, turning them on their side), however, we cannot calculate the number of rolls the closet fits by simply dividing the volume of the closet space by the volume of a toilet roll, since the toilet rolls are cylinders and so there will always be some space between them.
A- 52/3
B- 52/7
C- 17
D- 3/4
The Answer is: A. 52/3
How many graduates from university a had an income under 20,000
A building that is used for storage has the dimensions shown. What is the volume of the building?
The total volume of this building based on the volume of its two sections is 3808 cubic feet.
How to calculate the volume of the building?In this case, it is necessary to calculate the volume of the base that has a rectangular prism shape and the volume of the top part that has a right triangular prism shape.
What is the volume of the base?length x widht x height28 x 8 x 14 = 3136 cubic feetWhat is the volume of the top part?0.5 x base x height x length0.5 x 14 x 8 x 12 = 672 cubic feetWhat is the total volume?3136 + 672 = 3808 cubic feetNote: This question is incomplete because the image is missing; here is the missing section.
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Six hundred thirty-one and fifthy eight thousandths in standard form
The number in standard form is 632.058
How to represent the number in standard form?The number is given as:
Six hundred thirty-one and fifty-eight thousandths
This means:
Six hundred thirty-one + fifty-eight thousandths
Express Six hundred thirty-one as 631
632 + fifty-eight thousandths
Express fifty-eight thousandths as 58/1000
632 + 58/1000
Express as decimal
632 + 0.058
Evaluate the sum
632.058
Hence, the number in standard form is 632.058
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Awnser the Question For 10 Pts!
rest of awnser: d: she didnt make a mistake
Answer:
Jace did not make a mistake, because the answers are the same. Jace just did the problem in a unique way.
Determine the equation of the circle with center (-4,-2) containing the point
(4, -17).
The equation of the circle is:
[tex](x + 4)^2 + (y + 2)^2 = 17^2[/tex]
How to get the equation for the circle?The general equation for a circle of radius R and center (a, b) is:
[tex](x - a)^2 + (y - b)^2 = R^2[/tex]
Here the center is (-4, -2), and it contains the point (4, -17), so the radius is:
[tex]R = \sqrt{(4 - (-4))^2 + (-2 + 17)^2} = 17[/tex]
So the equation of the circle is:
[tex](x + 4)^2 + (y + 2)^2 = 17^2[/tex]
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Which number is greatest?
CLEAR SUBMIT
290,095
209,509
290,905
209,950
Answer:
290,905
Because the ten-thousands place is greatest, and the hundreds place is greater than option A, we can determine that option C is correct.
solve the equation b/4+2=-1.
b=
Answer:
[tex] \frac{b}{4} + 2 = - 1[/tex]
[tex] \frac{b}{4} = - 1 - 2[/tex]
[tex] \frac{b}{4 } = - 3[/tex]
[tex]b = - 3 \times 4[/tex]
[tex]b = - 12[/tex]
hope this helps you!!
The answer is -12
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here: The equation b/4 +2 = -1
b=-12
Hence, The answer is -12
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What are the ordered pairs of the
solutions for this system of equations?
f(x) = x² - 2x + 3; ƒ(x) = −2x + 28
Answer: x = 5, -5
Step-by-step explanation:
mark brainist
Answer:
(5, 18) and (-5, 38)
Step-by-step explanation:
Equating the values of the function f(x) :
x² - 2x + 3 = -2x + 28x² + 3 = 28 [Cancelling out -2x on each side]x² + 3 - 3 = 28 - 3 [Subtracting 3 on each side]√x² = √25 [Taking square root on each side]x = ±5Taking x = +5 :
f(5) = -2(5) + 28f(5) = -10 + 28f(5) = 18Ordered pair = (5, 18)Taking x = -5 :
f(-5) = -2(-5) + 28f(-5) = 10 + 28f(-5) = 38Ordered pair = (-5, 38)The solutions are : (5, 18) and (-5, 38)
If 2 newspapers cost $3.00,
how much does one
newspaper cost?
Answer:
$1.50
Step-by-step explanation:
you only need to do $3.00/2 = $1.50
Answer:
$1.50
Step-by-step explanation:
3 divided by 2 = 1.5
Due this is linear relationships and slope
Answer:
6x+4 C
Step-by-step explanation:
Because the y-axis is +4
Use the graph to find the cost of 6 show tickets.
Cost of Show Tickets
110
100
90
80
70
60
50
40
30
20
10
0
1 2 3 4 5 6 7 8 9 10 11
Number of tickets
A. The cost of 6 show tickets is $50.
B. The cost of 6 show tickets is $5.
O C. The cost of 6 show tickets is $30.
O D. The cost of 6 show tickets is $6.
Cost ($)
C. The cost of 6 show tickets is $30.
bottom of graph represents number of tickets, look for 6 then go up till you hit the dot now go to the other side of the graph ( costs) and see which number the line hit which is 30
Neglecting air resistance, the distance s(t) in feet traveled by a freely falling object is given by the function s(t) = 16t^2 where is time in seconds. The height of a certain tower is 878 feet. How long would it take an object to fall to the ground from the top of the building?
Answer:
7.4 seconds
Step-by-step explanation:
878 = 16 t^2 divide both sides of the equation by 16
54.875 = t^2 take positive sq rt
7.4 seconds
Evaluate the following expressions:
1. 5(a+2b)-3b
Answer:
=5a+7b
Step-by-step explanation:
Expand: 5(a + 2b): 5a + 10b
=5a+10b-3b
Add similar elements: 10b-3b=7b
=5a +7b
Answer:
[tex]\boxed{\sf{5a+7b}}[/tex]Step-by-step explanation:
[tex]\boxed{\underline{\text{Distributive property}}}[/tex]
Given:
In this question, I'm asking about the distributive property.
Distributive property is each term within the parentheses can be multiplied by a factor outside the parentheses.
For any real numbers a, b, and c.
Note:
⇒ A(B+C)=AB+AC
⇒ A(B-C)=AB-AC
Solutions:
5(a+2b)-3bMultiply by expand first.
[tex]\Longrightarrow: \sf{5(a+2b)}[/tex]
[tex]\Longrightarrow: \sf{5*a=5a}\\\\\Longrightarrow: \sf{5*2b=10b}[/tex]
Rewrite the equation problem down.
5a+10b-3b
Solve.
Subtract.
10b-3b=7b
[tex]\Longrightarrow: \boxed{\sf{5a+7b}}[/tex]
Therefore, the final answer is 5a+7b.I hope this helps, let me know if you have any questions.
The box plots below represent the scores for games played by two high school basketball teams over the last 5 seasons.
Based on these plots, which statement regarding the means of the two data sets is is most likely true?
A The mean score per game is higher for South County High School because the distribution of South County High School's scores is not as skewed as the distribution of Central High School's scores.
B The mean score per game is about the same for both schools because their median scores are about the same.
C The mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.
D No conclusion can be drawn regarding the means because the box plots only show medians and quartiles.
The mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.
What is mean?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
From the data given in the box plot, we can conclude that the mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.
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The weights of bushels of corn produced by a large farm are approximately normally distributed with a mean of 89.46 pounds and a standard deviation of 2.31 pounds. A store is buys 5 bushels of corn from the farm. Assume the 5 bushels the store receives is a random sample of all bushels of corn the farm produces. What is the approximate probability that the 5 bushels will have a mean weight of more than 90 pounds
The approximate probability that the 5 bushels will have a mean weight of more than 90 pounds is 0.41
How to determine the probability?The given parameters are:
Mean, μ = 89.46
Standard deviation, σ = 2.31
The z-score at x = 90 is calculated using
[tex]z = \frac{x - \mu}{\sigma}[/tex]
This gives
[tex]z = \frac{90 - 89.46}{2.31}\\[/tex]
Evaluate
z = 0.234
The probability is then calculated as:
P(x >90) = P(z > 0.234)
From z table of probabilities, we have:
P(x >90) = 0.41
Hence, the approximate probability that the 5 bushels will have a mean weight of more than 90 pounds is 0.41
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Please help me. 15 points
Answer:
360 feet
ft = 120 • 3 = 360 feet
Answer:
Your choice of 360 is correct.
Step-by-step explanation:
3 feet = 1 yard
120 times 3 =
360
Please mark Brainliest
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Is the relationship between the step number and number of squares a quadratic function.
AnalyzeStep 1 = 2 squares
Step 2 = 6 squares
Step 3 = 12 squares
2, 6, 12
4 6
2
To build a quadratic functionax² + bx + c
2a = 2 ⇒ a = 1
3a + b = 4 ⇒ 3(1) + b =4 ⇒ b = 1
a + b + c = 2 ⇒ 1 + 1 + c = 2 ⇒ c = 0
Equation: x² + x
Hence, Yes it is a quadratic function.
Answer:
It is quadratic with nth term = n^2 + n.
Step-by-step explanation:
Number of squares in each term = 2, 6 and 12
Differences between these are 4 and 6
6 - 4 = 2
This is an indication of a quadratic function with n^2 the first term.
Value of n^2 for first 3 terms
= 1 4 9 and the terms are:
2 6 12
Differences 1 2 3
This last term = n
So the quadratic function for this sequence is
n^2 + n.
HELP PLEASE, I'LL GIVE BRAINLIEST.
if x + yi = (1 + i)⁴ , then x + y = ......
a) 4
b) - 4
c) 2
d) - 2
an explanation for future reference would be greatly appreciated <333
x + yi = (1 + i)⁴
then -4 + 4 = x