f(x) = x^2 is compressed vertically by a factor of 2 and shifted 2 units to the left.
equation = ???
Answers
1/2 compresses while the +2 INSIDE the parenthesis shifts the parental function (f(x)=x^2) to the left two units.
Related Questions
What is the value of x in the triangle
Answers
Answer:
\(5\sqrt{3}\)
Step-by-step explanation:
the sides of a 30 60 90 triangle are x, 2x, and \(x\sqrt{3}\), with \(x\sqrt{3}\) being opposite to the 60 degree angle, and x being adjacent to the 60 degree angle. If \(x\sqrt{3}\) = 15 (as given from the image), you can calculate x to be \(5\sqrt{3}\).
I am a fraction and I am equivalent to 4/9. If my numerator is 28. Who am I?
Answers
Answer:
I am 28/63
Step-by-step explanation:
4 * 7 = 28
9 * 7 = 63
Therefore, 4/9 is equivalent to 28/63.
Here is a sphere with a radius of 4 feet. What is the Volume of the sphere? Express your answer in terms of π (exact answer).Work must be shown.
v=4/3*π*r^3
=4/3*π*4^3
=
Answers
Answer:
256
Step-by-step explanation:
V= 4/3×pi×r³V=4/3×3×4³=4⁴=256James wants to have earned $6,180 amount of interest in 28 years. Currently he finds
that his annual interest rate is 6.12%. Calculate how much money James needs to invest
as his principal in order to achieve this goal.
Answers
Answer:
$3606.44
Step-by-step explanation:
The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.
To do this, we need to use the formula for simple interest:
\(\boxed{I = \frac{P \times R \times T}{100}}\),
where:
I = interest earned
P = principal invested
R = annual interest rate
T = time
By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:
\(6180 = \frac{P \times 6.12 \times 28}{100}\)
⇒ \(6180 \times 100 = P \times 171.36\) [Multiplying both sides by 100]
⇒ \(P = \frac{6180 \times 100}{171.36}\) [Dividing both sides of the equation by 171.36]
⇒ \(P = \bf 3606.44\)
Therefore, James needs to invest $3606.44.
Find the total amount due on a loan of $5,000 for 8 years at 10% simple interest.
$4,000
$5,500
$9,000
$9,500
$5,400
Answers
twenty professiional athlets were asked what age did you graduate from college the responses are displayed in the histogram below
Answers
According to the given graph:
Age at graduation (in years) between 45 to 50 years.Age at graduation (in years) between 20 to 25 years.What is histogram?A histogram is a data representation that looks like a bar graph that bins a variety of classifications into columns and along the horizontal x-axis. The number count or percentage of occurrences inside this data for each column is represented by the vertical y-axis. Columns can be utilized to display data distribution patterns.
When should a histogram be used?When you're taking continuous measurements and you want to understand the distribution of results and look for outliers, use histograms. These graphs divide your continuous measurements into value ranges known as bins.
According to the given data:Based on these data, the numbers below appear to represent the smallest.:
= Age at graduation (in years) between 45 to 50 years.
Based on these data, the numbers below appear to represent the largest.
= Age at graduation (in years) between 20 to 25 years.
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I understand that the question you are looking for is:
Twenty professional athletes were asked, “What age did you graduate from college?” The responses are displayed in the histogram below.
Frequency 20 30 Age at graduation (in years) 40 50
(a) Which of the statistics below appear to be the smallest based on these data?
(b) Which of the statistics below appear to be the largest based on these data?
Bella its jordan please reply
Answers
Answer:
ejeiejeir
Step-by-step explanation:
mdkdkdksoseojehdjr
hey jordan i find your bella i m following her ok i will tell her that you are searching her
Evaluate the following expression: (-3)^-2
Answers
Answer:
\(\frac{1}{9}\)
Step-by-step explanation:
Anything to the negative power becomes a fraction
x⁻ⁿ = 1/xⁿSo here we have (-3)⁻² which then becomes \(\frac{1}{(-3)^{2} }\)
This then simplifies to \(\frac{1}{9}\)
Lower of cost or market method
Answers
The lower of cost or market (LCM) method states that when valuing a company's inventory, it is recorded on the balance sheet at either the historical cost or the market value. Historical cost refers to the cost at which the inventory was purchased.
What is LCM?The lower of cost or market rule states that a business must record the cost of inventory at whichever cost is lower – the original cost or its current market price.
The value of a good can shift over time. LCM holds significance, because if the price at which the inventory can be sold falls below the net realizable value of the item, thus triggering a loss for the company, then the lower of cost or market method can be employed to record the loss.
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Recent news articles have discussed the connection between a rare genetic mutation and breast cancer in women. One of the companies offering this BRCA genetic test is Quest, and this company claims a 97.5% accuracy rate. In the general population about 1 in 405 people would actually carry this BRCA1 genetic mutation.
Hint: Construct a table as in your course materials. Use a population size of 40500 women.
What is the likelihood that someone has the BRCA mutation, if they test positive?
Answers
The probability of having the BRCA mutation if tested positive is 97.5%, based on an assumed population size of 40500 women and a 97.5% accuracy rate from Quest.
If a person tests positive, the probability that they have the BRCA mutation is determined by dividing the number of persons with the mutation by the total number of people who tested positive .In this case, the population size is 40500 women, of which 1 in 405 people (101 people) are expected to have the BRCA1 mutation. If we assume that Quest's 97.5% accuracy rate is correct, then 97.5% of the 101 people (98.475 people) would test positive for the BRCA1 mutation. Therefore, the likelihood that someone has the BRCA mutation, if they test positive, is 98.475 out of 101, or 97.5%. This calculation is based on the assumption that Quest's accuracy rate is correct, and that the population size is 40500 women.
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A wiring job requires 4 electricians to work for 6 hours to finish the job.
On the day of the job, one electrician does not report. How long would it
take to complete the same job by the remaining electricians?
Answers
if we are talking about 24hrs. 24/4=6 so 24/3=8 (3 bc there is one less)!
The time and electricians it would take the remaining 3 electricians 8 hours to complete the job if one electrician does not report.
How are number of people to time needed to complete a task related?More people to do a task means less time it will take.
Less people to do a task means more time it will take.
Thus, they are inversely related.
If x men take y time for a work,
We can define a constant as "Manpower" needed for doing that specific work.
Let we define:
Manpower needed for a work = y + y + y + .. + y = Time per man × count of men
Manpower needed for a work = xy
We are given that;
Number of electricians= 4
Number of hours= 6
Now,
We can use the formula:
workers × time = work
where "workers" is the number of electricians, "time" is the number of hours they work, and "work" is the amount of work done.
In this case, we know that 4 electricians can complete the job in 6 hours. So:
4 × 6 = work
work = 24
This means that the total amount of work required to complete the job is 24 "units".
Now, if one electrician doesn't show up, we have only 3 electricians to do the work. Let's call the time it takes for the 3 electricians to complete the job "t".
So we have:
3 × t = 24
Dividing both sides by 3, we get:
t = 8
Therefore, by work and time answer will be 3 electricians and 8 hours.
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sasha needs 3/4 cup of flour to make a batch of muffins and 1 2/3 cups of flour to make loaf of bread. How many cups of flour does sasha need to make both a batch of muffins and a loaf of bread
Answers
Using the addition operation, the number of cups of flour Sasha needs to make both a batch of muffins and a loaf of bread is 2⁵/₁₂ cups.
How is the number or quantity determined?We can use the addition operation to determine the quantity of flour that Sasha needs.
We add the cups of flour needed for both items to determine the total quantity.
The quantity of flour for making a batch of muffins = 3/4 cups
The quantity of flour for making a loaf of bread = 1²/₃ cups
The total quantity of flour needed for making a batch of muffins and a loaf of bread = 2⁵/₁₂ cups (³/₄ + 1²/₃)
(³/₄ + 1²/₃)
= ³/₄ + ⁵/₃
= (9 + 20)/12
= 29/12
= 2⁵/₁₂
Thus, to make a batch of muffins and a loaf of bread, Sasha needs 2⁵/₁₂ cups of flour.
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50 Points!!!!!! Triangle ABC is given.
Angle A is labeled two x degrees. Angle B is labeled forty degrees. Angle C is labeled three x degrees.
What is the measure, in degrees, of ∠A?
Enter your answer in the box.
Answers
All 3 angles add up to 180 degrees.
so 40 + 2x + 3x = 180
40 + 5x = 180
5x = 140
x = 28
So angle A = 2x = 2(28) = 56 degrees.
Answer: 56°
Step-by-step explanation:
We know that a triangle's angles add up to 180 degrees. We will create an equation to help us solve for x using this information.
Given:
2x + 3x + 40 = 180
Combine like terms:
5x + 40 = 180
Subtract 40 from both sides of the equation:
5x = 140
Divide both sides of the equation by 5:
x = 28
Next, we will substitute this value of x into the expression for ∠A.
∠A = 2x = 2(28) = 56°
2. A map of a park has a scale of 1 inch to 1,000 feet. Another map of the same park has
a scale of 1 inch to 500 feet. Which map is larger? Explain or show your reasoning.
1
rade 7 Unit 1
esson 10
CC BY Open Up Resources. Adaptations CC BY IM.
Answers
Answer:
The map that has a scale of 1 inch to 500 feet must be larger in size
Step-by-step explanation:
Since both maps represent the ame park area, the map that show more detail using 1 inch for every 500 feet, must be larger in size. notice that in order to represent 1000 feet this map needs to use 2 inches, while the other one uses only 1 inch of paper.
write the following ratio as a ratio of whole numbers using fractional notation. 20 inches to 24 inches
Answers
The ratio of 20 inches to 24 inches as a ratio of whole numbers using fractional notation is 5 : 6
The measurements are 20 inches and 24 inches
First simplify 20 inches to 24 inches by dividing both numbers by their greatest common factor.
The greatest common factor of 20 and 24 is 4.
Divide the each number by 4 and simplify the term
20 inches : 24 inches = 20/4 inches : 24/4 inches
Divide the numbers,
Then the simplified form will be
20 inches : 24 inches = 5 inches : 6 inches
Therefore, the ratio 20 inches to 24 inches is 5 : 6
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you sailed 0.032 units to the left and found treasure at 0.248 units find where the ship started
Answers
8+7i/4-6iI need the answer and how to solve asap!
Answers
ANSWER
\(\frac{1}{52}(-10\text{ + 76i) or }\frac{1}{26}(-5\text{ + 38i)}\)EXPLANATION
We are given the fraction of complex numbers:
\(\frac{\text{8 + 7i}}{4\text{ - 6i}}\)To simplify this, we will find the conjugate of the denominator and then multiply that with the numerator and denomiator.
The conjugate is gotten by changing the sign of the denominator. That is:
4 + 6i
So, we have:
\(\begin{gathered} \frac{\text{8 + 7i}}{4\text{ - 6i}}\cdot\text{ }\frac{4\text{ + 6i}}{4\text{ + 6i}} \\ =\text{ }\frac{(8\text{ + 7i) (4 + 6i)}}{(4\text{ - 6i) (4 + 6i)}} \\ =\frac{(8\cdot\text{ 4) + (8 }\cdot\text{ 6i) + (7i }\cdot\text{ 4) + (7i }\cdot\text{ 6i)}}{(4\cdot\text{ 4) + (6i }\cdot\text{ 4) - (6i }\cdot\text{ 4) - (6i }\cdot\text{ 6i)}} \\ We\text{ know that i = }\sqrt{i},\text{ so i }\cdot\text{ i = -1:} \\ \Rightarrow\text{ }\frac{\text{ }32\text{ + 48i + 28i - 42}}{16\text{ + 24i - 24i + 36}} \\ =\text{ }\frac{-10\text{ + 76i}}{16\text{ + 36}}\text{ = }\frac{-10\text{ + 76i}}{52} \\ =\text{ }\frac{1}{52}(-10\text{ + 76i) or }\frac{1}{26}(-5\text{ + 38i)} \end{gathered}\)That is the answer.
Enter a number in the box to complete the sentence. Give your answer to the nearest half-hour.
When lit, a candle loses 5% of its original height every hour. Jennifer lit a candle with an original height of 8 inches.
Answers
Answer:
Do you mean: When lit, a candle loses 5% of its original height every hour. Jennifer lit a candle with an original height of 8 inches.
Until the candle has been burning for at least _____ hours, the height of Jennifer's candle will be more than 7 inches.
If so your answer is: 2.5!
if a=5, b=-2 and c=3 find the value of abc
Answers
Answer:
-30
Step-by-step explanation:
the order of multiplication doesn't matter
a*b*c = 5*-2*3 = -30
What is this problem
44+400÷(4+6'2)−2'4
(') that means power
250
244
18
10
Answers
Answer:
18
Step-by-step explanation:
♡ The first answer is correct
♡ Please mark them BRAINIEST
♡ Hope this helps
♡ Have a beautiful day
Find x ÷ y, if x = 3 5\6 and y = 3 3\4. Express your answer in simplest form.
Answers
Answer:
1 1/45
Step-by-step explanation:
3 5/6 ÷ 3 3/4
~Turn into improper fractions
23/6 ÷ 15/4
~Copy Dot Flip
23/6 * 4/15
~Multiply
92/90
~Simplify
1 1/45
Best of Luck!
5a. find the value of a.
Answers
The logarithmic function f(x) = a·log₃(x - 4), passing through the points (13, 7), has the values;
5 a. The value of a is 3.5
b. Please find attached the graph of the function, f(x) = 3.5·log₃(x - 4), created with MS Excel
What is a logarithmic function?A logarithmic function is a function that contain and involves logarithm operation and it is the inverse of an exponential function
The function is f(x) = a·log₃(x - 4),
x > 4 and a > 0
The coordinates of a point on the graph of the function, f is A(13, 7)
5 a. The value of a can be found by plugging in the value of (13, 7) = (x, f(x)), as follows
f(13) = 7 = a·log₃(13 - 4) = a·log₃9 = a·log₃3²
7 = a·log₃3²
7 = 2·a·log₃3 = 2·a·1 = 2·a
2·a = 7
a = 7 ÷ 2 = 3.5
a = 3.5
5 b. The coordinates of the x-intercept of the graph = (5, 0)
The equation of the function is;
f(x) = 3.5·log₃(x - 4)
A third point on the graph is given when f(x) = 14 as follows;
f(x) = 14 = 3.5·log₃(x - 4)
log₃(x - 4) = 14 ÷ 3.5 = 4
3⁴ = x - 4
x = 3⁴ + 4 = 85
Which gives the point, (85, 14)
Similarly, we have the point (31, 10.5), (7, 3.5)
Please find attached the graph of f(x) created with MS Excel
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Fifth grade Y.22 Multi-step problems with customary or metric unit conversions ST6
Skill plans
The smallest mammal living at the Bridgeport Zoo is an Etruscan shrew named Hulk. Hulk's
tail is 20 millimeters long, and his body is 3 times as long as his tail. How many centimeters
long is Hulk, tail and all?
centimeters
Answers
Answer:
Step-by-step explanation:
tail is 20 millimeters
body is 3*20=60
60+20=80
80 millimeters, divide by ten for centimeters,
answer: 8 centimeters
Find the volume of this sphere use three
Answers
2916 ft³
Step-by-step explanation:Volume helps describe the amount of space that a shape takes up.
Volume of a Sphere
Volume describes the 3-dimensional size of a shape. Since volume is a 3-D measurement, the units should be cubed; this explains why the answer is given in feet cubed. In order to find the volume, we need to use the radius. The radius of a sphere is the distance from the center to the outside. In this case, we are told that the radius is 9 ft.
Volume Formula
Every regular shape has its own volume formula. For a sphere, the formula is:
\(V = \frac{4}{3}\pi r^{3}\)So, to find the volume, all we need to do is plug in the radius. For this sphere, r = 9.
V = 4/3 * 3 * 9³V = 2916When using 3 for pi, the volume of the sphere is 2916 ft³.
Write a subtraction problem using two fractions with unlike denominators that have a difference of 2/5
Answers
8/20 + 5/20 = 13/20
13/20 - 1/4 = 2/5
Follow the guided instructions below to rotate the figure 90° counter-clockwise about
the origin.
Draw a circle centered at the center of rotation, such that one of the vertices
of the figure is on the circle.
10 9 -8
5 4 3 2
10
3
5
9 10
-X
Answers
When rotated 90 degrees, counterclockwise direction the new coordinates will result in the attached image.
What are the new coordinates?The old coordinate where were rotated are:
A(-5,8)
B (-1, 7)
C(-3, 5)
D(-4, 2)
To rotate a point counterclockwise about the origin, we switch the x and y coordinates and change the sign of the new x -coordinate.
The new coordinates are after 90 degrees, counterclockwise are
A' = (-8, -5)
B' = (-7, -1)
C' = (-5, -3)
D' = (-2, -4)
See attached image.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
See attached image.
A box contains 15 green marbles and 16 white marbles. If the first marble chosen was a white marble, what is the probability of choosing, without replacement, another white marble
Answers
===================================================
Explanation:
16/31 represents the probability of picking a white marble
This is because there are 16 white out of 15+16 = 31 total.
---------
After we make a first selection, we have 16-1 = 15 white marbles left out of 31-1 = 30 marbles overall. The probability of selecting another white marble is 15/30 = 1/2.
Multiply those two fractions:
(16/31)*(1/2) = (16*1)/(31*2) = (2*8)/(31*2) = 8/31
which represents the probability of selecting two white marbles in a row, such that we don't put the first one back (and there's no replacement).
Part A :
A machine that bottles apple juice is set so that every 6th bottle gets a red label and every 9th bottle gets a blue cap. The machine.
Part B :
The machine is reset so that every 10th bottle gets a special gold band around the label. What number bottle will be the first to get a red label, a blue cap, and a gold band ?
Answers
Answer:
The 90th
Step-by-step explanation:
You have to find the least common multiple of 6, 9, and 10 because that will be the first one when all three are on the bottle.
The least common multiple is 90.
State whether the data described below are discrete or continuous, and explain why. The times required by students to complete a statistics test Choose the correct answer below. O A. The data are discrete because the data can take on any value in an interval. O B. The data are discrete because the data can only take on specific values. O C. The data are continuous because the data can take on any value in an interval. OD. The data are continuous because the data can only take on specific values.
Answers
The data are discrete because the data can only take on specific values, So correct option is B.
What do you mean by discrete data?Discrete data refers to data that can only take on specific, separate values. It is a type of data that can be counted or enumerated, but not measured. In other words, the values can't be expressed as fractions or decimals between two whole numbers. Some examples of discrete data include the number of siblings in a family, the number of pets owned by an individual, and the number of correct answers on a test. Discrete data is distinct from continuous data, which can take on any value within a certain range.
The data are discrete because the data can only take on specific values (e.g. a time of 20 minutes, 21 minutes, 22 minutes, etc.). They cannot take on any value in an interval, such as 20.5 minutes. Discrete data represent a countable number of values, while continuous data can take on any value within a given range.
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Tom has a water tank that holds 5 gallons of water. tell me this is water for my footing to fill six bottles they each holds 16 ounces and a picture that holds one over 2 gallon how many ounces of water left in a water tank?
Answers
288 ounces of water are left in the water tank.
What is arithmetic?
Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots
Here, we have
Given: Tom has a water tank that holds 5 gallons of water. tell me this is water for my footing to fill six bottles they each hold 16 ounces and a picture that holds one over 2 gallons.
1 gallon = 128 ounces, 2 gallon = 256 ounces
6 bottles × 16 ounces = 96 ounces
2 gallon + 96 ounces = 256 + 96 ounces = 352 ounces
5 gallon = 5 × 128 = 640 ounces
= 640 - 352 = 288 ounces
Hence, 288 ounces of water are left in the water tank.
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