The image point of (-7,-8) after the transformation D1/2oT-1,0 is (-4,4).
First, we apply the translation T-1,0, which moves every point 1 unit to the right (since the x-coordinate is decreased by 1) and leaves the y-coordinate unchanged. Therefore, the image of (-7,-8) under T-1,0 is (-7-1,-8) = (-8,-8).
Next, we apply the dilation D1/2, which scales every distance from the origin by a factor of 1/2. Therefore, the image of (-8,-8) under D1/2 is (-8/2,-8/2) = (-4,-4).
Thus, the image point of (-7,-8) after the transformation D1/2oT-1,0 is (-4,4).
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Find the measure of ZACD
Answer:
c
Step-by-step explanation:
im pretty sure
Session 2-Math (Calculator)
40. In Ms. Morales's class, the ratio of boys to girls is 3:7. The class sizes at Ms. Morales's school
range from 22 to 34 students per class. What is the total number of students in Ms. Morales's
class?
A 21 students
B. 24 students
C. 28 students
D. 30 students
As a result, the total number of pupils i Ms. Morales' class is 10x = 10(3) = 30.
30 pupils is the right response.
What does it mean?In math, a mean is the average of a data collection, which is calculated by adding all of the numbers together and then dividing the total of the numbers by the number of numbers.
If the boy-to-girl ratio in Ms. Morales' class is 3:7, the class may be divided into 10 equal portions, with three males and seven girls.
If x equals the number of guys in the class, then the number of girls in the class is 7x.
The total number of pupils in the class is the sum of the male and female students:
Total number of pupils = 3 times + 7 times = 10 times
To get the value of x, we must first determine the total number of pupils in the class. Ms. Morales's school has class sizes ranging from 22 to 34 pupils each class. Because 10x is the total number of pupils in the class, we must find an x value that gives us a total number of students between 22 and 34.
Let's see whether x = 2 works. If x equals 2, the total number of pupils in the class is 10x = 20, which is insufficient.
Let's see whether x = 3 works. If x = 3, the total number of pupils in the class is 10x = 30, which is between 22 and 34.
As a result, the total number of pupils in Ms. Morales' class is 10x = 10(3) = 30.
30 pupils is the right response.
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The total number of students in Ms. Morales's class is 84.
None of the given options is correct. The correct answer is 84.
What are proportions?
In mathematics, a proportion is a statement that two ratios are equal. It expresses the relationship between two or more quantities that are directly proportional to each other.
Let's first assume that the total number of students in Ms. Morales's class is x.
According to the problem statement, the ratio of boys to girls is 3:7. This means that out of every 3 + 7 = 10 students, 3 are boys and 7 are girls. Therefore, we can write:
Number of boys = (3/10)*x
Number of girls = (7/10)*x
The problem statement also tells us that the class sizes range from 22 to 34 students. This means that the total number of students x must be a multiple of both 3 and 7, and it must also be between 22 and 34 inclusive.
To find the possible values of x, we can list the multiples of 3 and 7 that are between 22 and 34:
Multiples of 3: 24, 27, 30, 33
Multiples of 7: 28
We can see that the only multiple of both 3 and 7 that is between 22 and 34 is 21*4 = 84. Therefore, the total number of students in Ms. Morales's class is 84.
Answer: None of the given options is correct. The correct answer is 84.
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If y is inversely proportional to the square root of x and y=61 when x=9, find y if x=81. (Round off your answer to the nearest hundredth.)
\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\underline{y} is inversely proportional to the square root of \underline{x}}}{y = \cfrac{k}{\sqrt{x}}}~\hfill \stackrel{\textit{we also know that}}{ \begin{cases} y = 61\\ x = 9 \end{cases}}\)
\(61=\cfrac{k}{\sqrt{9}}\implies 61=\cfrac{k}{3}\implies 183=k~\hfill \boxed{y = \cfrac{183}{\sqrt{x}}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{when x = 81, what is "y"?}}{ y = \cfrac{183}{\sqrt{81}}\implies y=\cfrac{183}{9}}\implies y = \cfrac{61}{3}\implies y = 20.\overline{3}\implies y = \stackrel{\textit{rounded up}}{20.33}\)
The value of a television t years
after its purchase is modeled by the
exponential function ƒ(t) =
1500(0.83)t. Which best describes
the domain and range of this
exponential function?
Step-by-step explanation:
hope you anderstand
if that's the answer can you brainliest me please thank you
A rectangular solar panel has a length that is 12 inches shorter than 3 times its width. If the perimeter of the panel is 132 inches what are the dimensions of the panel?
Answer: 46.5 by 19.5
Step-by-step explanation:
P=perimeter of panel. L=length. W=width
L=3W-12
P=2L+2W
132=2(3W-12)+2W
132=6W-24+2W
132=6W+2W-24
132=8W-24
156=8W
W=19.5
P=2L+2W
132=2L+2(19.5)
132=2L+39
2L=93
L=46.5
46.5 by 19.5
What is the most likely reason that Sora lists the
activities of customers going through self-checkout?
to prove the claim that customers are trained
enough to get paid for self-checkout
2
O to prove the claim that self-checkout is difficult
O to prove the claim that cashiers' duties are as simple
as self-checkout routines
O to prove the claim that self-checkout is eliminating
jobs
The most likely reason that Sora lists the activities of customers going through self-checkout is to prove the claim that self-checkout is eliminating jobs.
By observing and documenting the activities of customers using self-checkout, Sora may be gathering evidence to support the argument that self-checkout systems are replacing the need for human cashiers and leading to job loss in the retail industry.
By highlighting the tasks that customers can now perform independently, Sora may be emphasizing the efficiency and convenience of self-checkout systems, which can potentially lead to the reduction of cashier positions.
It's important to note that without more context, we cannot definitively determine Sora's exact intentions or motivations. However, based on the given options and the mention of activities related to self-checkout, the claim that self-checkout is eliminating jobs appears to be the most plausible reason for listing the activities of customers going through self-checkout.
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If sin(x) = 0.4, then what is tax (x)?
Answer:
0.43
Step-by-step explanation:
x = sin^-1(0.4)
x = 23.57
tan(23.57) = 0.436
After each charging, a battery is able to hold only 96% of the charge from the previous charging. The battery was used for 10 hours on its first charge before it had to be recharged. What is the total number of hours the battery can be used over its lifetime?
Answer:
250 hours
Step-by-step explanation:
The first charge is 10 hours, the second charge is 10(0.96) hours, and so on -- the total of these two is 10+10(0.96) and we need to keep adding our battery usage up until there is no more battery. The third one is 10(0.96)*(0.96), or 10(0.96)².
This can be seen as a geometric series, with 10 as the first tern, or a, and 0.96 as the common ratio, or r. The sum of this is
\(a\frac{1-r^{n}}{1-r}\), with n being the number of terms. Since 0.96 to the power of n never actually reaches 0 no matter how high n goes if the number is not infinite, we can say n is infinity. As r^n is really close to 0 when n equals infinity (so close that, for our purposes in this equation, we can just assume it's 0), our equation is then
\(10\frac{1}{0.04} =10*25=250\)
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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You need to borrow $2550 to help contribute to an upcoming family reunion. You can borrow the money from two different banks.
Bank A will lend you $2550 for six months at an interest rate of 11.5%
How much money will you owe at the end of each period of time? Which bank offer will you choose and why?
Bank B will lend you $2550 for twelve months at an interest rate of 7.5%
Amount to be repaid for Bank A is $2,696.625 and Amount to be repaid for Bank B is $2,741.25. However, I will choose Bank B because it offers a lower interest rate.
How to calculate the simple interest?The formula to calculate the simple interest is;
I = PRT
Where;
P is principal
R is rate
T is time
Now, we are given that;
Bank A;
Principal amount; P = $2550
Interest rate; R = 11.5% = 0.115
Time; t = 6 months = 0.5 years
Thus;
I = (2550 * 0.115 * 0.5)
I = $146.625
Amount to be repaid = 2550 + 146.625
Amount to be repaid = $2,696.625
Bank B;
Principal amount; P = $2550
Interest rate; R = 7.5% = 0.075
Time; t = 12 months = 1 year
Thus;
I = (2550 * 0.075 * 1)
I = $191.25
Amount to be repaid = 2550 + 191.25 = $2,741.25
Thus, bank B offers a more favorable interest rate and as such would be the preferred bank.
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Use the two given functions to write y as a function of x.
y = -3a + 3, a = -5x + 1
Answer:
Step-by-step explanation:
To write y as a function of x using the given functions, we can substitute the value of "a" in the first equation with the expression "-5x + 1" from the second equation.
Given:
y = -3a + 3
a = -5x + 1
Substituting the value of "a" in the first equation:
y = -3(-5x + 1) + 3
Now, let's simplify this expression:
y = 15x - 3 + 3
y = 15x
Therefore, y can be expressed as a function of x as:
y = 15x
if a(x) = 3x+1 and b(x) = \(square root of x-4\), what is the domain of (boa)(x)
The domain of (boa)(x) is [1, ∞].
What is a domain?In Mathematics and Geometry, a domain is the set of all real numbers (x-values) for which a particular equation or function is defined.
Based on the information provided above, we have the following functions:
a(x) = 3x+1
\(b(x) = \sqrt{x-4}\)
Therefore, the composite function (boa)(x) is given by;
\(b(x) = \sqrt{3x+1 -4}\\\\b(x) = \sqrt{3x-3}\)
By critically observing the graph shown in the image attached below, we can logically deduce the following domain:
Domain = [1, ∞] or {x|x ≥ 1}.
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(8x³-14x²-3x+11)÷(2x-3) what is the quotient and remainder?
Answer: Quotient: 4x^2-x-3
Remainder: 2
Step-by-step explanation:
How does knowing the unit rate of the measurable units help us make decisions in the real world?
Answer:The SI, or metric, system is based on the principle that all quantities of a measured property have the same units, allowing scientists to easily convert large and small numbers. ... Measuring a human's mass in grams would not make much sense because the measurement would be such a large number.
Step-by-step explanation:Mass is a measure of the amount of matter in a substance or an object. The basic SI unit for mass is the kilogram (kg), but smaller masses may be measured in grams (g). To measure mass, you would use a balance.A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity. Any other quantity of that kind can be expressed as a multiple of the unit of measurement. For example, a length is a physical quantity.
Find the volume of the solid whose base is the semicircle y= squareroot( 16-x^2), where -4< x< 4 and whose cross section perpendicular axis are squares
The volume of the solid whose base is the semicircle y = √(16 - x²), where -4 < x < 4 and whose cross section perpendicular axis are squares is 256/3 unit³
To obtain the volume of a 3D shape, the cross-section area is discovered and then integrated across a predetermined limit. This technique is known as the cross-sectional method of volume fining. The area of the square base is determined in the given problem, and it is then integrated to determine the overall volume.
To find the volume we will first find the cross-sectional area and then integrate it with respect to x from -4 to 4.
Thus the volume is given as follows:
y = √(16 - x²)
V = ₋₄∫⁴ (√(16 - x²))² dx
V = ₋₄∫⁴ (16 - x²) dx
V = [16x - x³/3]₋₄⁴
V = (64 - 64/3 + 64 -64/3)
V = 256/3 unit³
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I don't know answer to this problem?
Find the average rate of change for the function over the given interval y=x^2+9x between x=3 and x=7.
Answer:
average rate of change = 19
Step-by-step explanation:
the average rate of change of f(x) in the closed interval [ a, b ] is
\(\frac{f(b)-f(a)}{b-a}\)
here [ a, b ] = [ 3, 7 ] and y = f(x) , then
f(b) = f(7) = 7² + 9(7) = 49 + 63 = 112
f(a) = f(3) = 3² + 9(3) = 9 + 27 = 36
then
average rate of change = \(\frac{112-36}{7-3}\) = \(\frac{76}{4}\) = 19
Smallest two digit number using 6, 2, 7, 3
Answer:
23
Step-by-step explanation:
In the matrix equation below, what are the values of x and y?
Answer: x=3 y=1
Step-by-step explanation:
Which of the following represents 20 = 5 x 4
A. 5 is 4 times as many as 20
B. 20 is 2 times as many as 10
C. 4 is 5 times as many as 20
D. 20 is 5 times as many as 4
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
the answer is d because
20 is "=" 5 times "×" as 4
so the formula derived is
20= 5x4
is represents =
times represents ×
hope you get it
how do i do math qyestions
Answer:
By solving them of course ;-;
Answer: that depends on the qyestion
What is the area of the rectangle above?
OA. 96 square units
OB. 20 square units
OC. 104 square units
OD. 40 square units
The area of the rectangle with a length of 12 units and a width of 8 units is 96 sqaure units.
How to determine the area of a rectangle?A rectangle is a 2-dimensional shape with parallel opposite sides equal to each other and four angles are right angles.
The area of a rectangle is expressed as;
Area = length × breadth
From the image:
Length of the rectangle = 12 units
Breadth of the rectangle = 8 units
Area of the rectangle = ?
Plug the given values into the above formula and solve for the area:
Area = length × breadth
Area = 12 units × 8 units
Area = 96 sqaure units
Therefore, the measure of the area is 96 sqaure units.
Option A) 96 sqaure units is the correct answer.
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Which of the following Platonic solids is made from squares? Check all that
apply.
A. icosahedron
B. cube
c. tetrahedron
D. octahedron
E, hexahedron
F. dodecahedron
Answer:
B. Cube and E. hexahedron
Step-by-step explanation:
Icosahedron are made of triangles, cubes are made of squares, tetrahedron are made of triangles, octahedron are made of triangles, hexahedron are made of squares, dodecahedron are made of pentagons.
i hope it helps! Have a great day!
Sandra~
Can someone help on this?
Step-by-step explanation:
this just means that the first function with input value x = 0 is calculated. that result becomes the input value x for the second function. and that result becomes the input value x for the 3rd function. and that result is then our result.
to answer a and b we only need to look at the main operation of each function :
the first one uses only basic multiplication and subtraction.
the second one uses squaring.
the third one is a 1/x operation.
a.
since the final result is a negative number (-31), the second function with the square operation cannot be last.
because a square operation always delivers a positive result.
+a × +a = +a²
-a × -a = +a²
remember, for a square operation we multiply the same number by itself. therefore we cannot mix signs like -a × +a, because then they would not be the same numbers anymore.
b.
since the initial input value is 0, the third function (1/x) cannot be the first, because 1/0 is not defined.
c.
because of the "large" -32 term in the first function I guess that this will be the last one to create such a low negative result of -31.
since 1/x cannot be first, (x - 2)² is then first. that makes 1/x second, and (4x - 32) third, as mentioned.
let's try :
x = 0
(x - 2)² = (0 - 2)² = (-2)² = 4
x = 4
1/x = 1/4
x = 1/4
4x - 32 = 4×1/4 - 32 = 1 - 32 = -31
hurrah ! we are correct !
Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) where the slope is increased by 11.
It is the graph of f(x) translated 11 units to the left.
It is the graph of f(x) translated 11 units up.
It is the graph of f(x) translated 11 units to the right.
B.
C.
OD.
The correct answer is C. It is the graph of f(x) translated 11 units to the left.
The correct answer is:
C. It is the graph of f(x) translated 11 units to the left.
When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.
In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.
The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.
Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.
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Habiba wants to buy a new laptop. She purchases it for $950 and finances it for 3 years at an interest rate of 9.2%. How much interest will she pay?
Find the annual interest rate.
I= $562.50, P=$1500, t= 5 years
The annual interest rate is_____%
The annual interest rate is 7.5%.
What is Simple interest?
Simple interest is a type of interest that is calculated on the principal amount (or the initial amount) of a loan or investment, without taking into account any accumulated interest from previous periods.
The formula for simple interest is:
I = P × r × t
where I is the interest earned, P is the principal (initial amount), r is the annual interest rate as a decimal, and t is the time in years.
In this case, we know I = $562.50, P = $1500, and t = 5 years.
we ca substitute values into the formula,
562.50 = 1500× r ×5
Simplifying, we get:
r = 562.50 / (1500 ×5)
r = 0.075
r = 7.5%
Therefore, the annual interest rate is 7.5%.
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Can you help me in this question?
(Also please write me how to solve it and ill check the answer if it is true then i will make you the brainliest.)
Answer:
C
Step-by-step explanation:
2m + 3m = 5m
9m - 5m = 4m
11m - 6m = 5m
Therefore, the expression 11m - 6m is equivalent to 2m + 3m
(as they both equal 5m)
Answer:
C. The expression 11m - 6m is equivalent to 2m + 3m.
Step-by-step explanation:
9m - 5m = 4m
11m - 6m = 5m
2m + 3m = 5m
Find the distance covered by a car travelling at 65 65-kmh-1 for 7 hours.
Answer:
1105km
Step-by-step explanation:
d=s×t
=65kmh^-1×7
=1105km
The question is in the attatchment!
Answer:
The answer is 4