By applying vertical compression by a factor of 3, then vertical reflection and finally horizontal translation by 1 unit to the right we can transform into required graph.
What if transformation?A transformation is a mathematical operation that changes the position, size, or shape of a geometric object. In other words, it is a way to manipulate the object by moving, scaling, rotating, or reflecting it.
What is reflection?Reflection is a transformation that flips an object over a mirror line, or line of reflection. It creates a mirror image of the object on the other side of the line.
In mathematics, reflection is often represented by a matrix called the reflection matrix. This matrix encodes the rules for reflecting points in a particular direction.
To transform the graph of y = x^2 into y = -3(x+1)^2, we can apply the following transformations:
Vertical stretch or compression by a factor of 3: This transformation stretches or compresses the graph vertically by a factor of 3. To apply this transformation, we need to multiply the y-values of the points on the graph by 3.
Vertical reflection: This transformation reflects the graph across the x-axis. To apply this transformation, we need to multiply the y-values of the points on the graph by -1.
Horizontal translation by 1 unit to the right: This transformation shifts the graph 1 unit to the right. To apply this transformation, we need to add 1 to the x-values of the points on the graph.
Applying these transformations to the graph of y = x^2, we get the graph of y = -3(x+1)^2.
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what is 2x(34) - (3-5)
Answer:68x + 2
Step-by-step explanation:
Simplify the equation.
Answer:
8
Step-by-step explanation:
sqrt(64)
What number multiplied by itself is 64
8*8 = 64
-8*-8 = 64
The solution is 8 or -8
The only choice listed is 8
Answer:
8.
Step-by-step explanation:
The square root of a number is equal to the number times itself with a product of the number. you could also think of the square root as the number squared. 8 squared is equal to to 64, so the answer must be 8.
3 over 5 =nothing over 20
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Will bought a Fitbit to measure how far he walks every day. According to the Fitbit, he moves about 27 inches with each step he takes when he walks. How many feet did Will travel in 96 steps?
Answer:
216 feet
Step-by-step explanation: Just do 27 x 96 to get 2592 inches and then convert that to feet and you get 216 feet
Answer:
about 221 or exactly 220.1 feet
Step-by-step explanation:
1 foot = 12 inches
27 5/8 inches = 2. 30 feet
2.30 feet * 96 steps = 220.1 feet
I'm pretty sure this is how its supposed to go if you meant 5/8 feet with it!
What is the slope of the line that contains the points (-1, 8) and (5,-4)?
A1/2
B.-1/2
C. -2
D. 2
Answer:
Step-by-step explanation:
(-4 - 8)/(5 + 1)= -12/6 = -2
Option C
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A high school class is planning a field trip to an art museum in their city. The class collected a total of $1259 from all of the students, which will go towards renting a bus, museum admission, and lunch
However, a week before the trip 9 students had to drop out and their portion of the collected money had to be given back to them. Due to this, the students that are all still going must contribute an
Now let a be the number of students who went on the trip and s9 be the original number of students who had planned to go on the trip
What equation can be written to determine the number of students that went on this trip?
An equation can be written to determine the number of students that went on this trip is: C. \(\frac{1259}{s} + 12=\frac{1259}{s+9}\)
How to write an equation to determine the number of students that went on this trip?In order to write an equation to determine the number of students that went on this trip, we would have to assign a variable and an expression to the number of students who went on the trip and the original number of students who had planned to go on the trip as follows;
Let the variable s represent the number of students who went on the trip.Let the expression s + 9 represent the original number of students who had planned to go on the trip.Since a total of $1259 was collected from all of the students with 9 students dropping out and their portion of the money collected given back to them while the students that are all still going must contribute an additional $12, an equation to determine the number of students that went on this trip is given by;
\(\frac{1259}{s} + 12=\frac{1259}{s+9}\)
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Complete Question:
A high school class is planning a field trip to an art museum in their city. The class collected a total of $1259 from all of the students, which will go towards renting a bus, museum admission, and lunch.
However, a week before the trip 9 students had to drop out and their portion of the collected money had to be given back to them. Due to this, the students that are all still going must contribute an additional $12 each to cover all of the cost.
Now let s be the number of students who went on the trip and s + 9 be the original number of students who had planned to go on the trip
What equation can be written to determine the number of students that went on this trip?
The function G(m) = 49.5m + 89.75 represents the cost of joining the gym in addition to the one time membership fee. The cost, G, is measured in dollars for m months. 1. Find the value of G(6).
Answer:
386.75
Step-by-step explanation:
added in the picture
The cost of joining the gym for 6 months is 386.75.
Given,
The function G(m) = 49.5m + 89.75 represents the cost of joining the gym in addition to the one-time membership fee.
The cost, G, is measured in dollars for m months.
We need to find the value of G(6).
Here,
The one-time membership = 89.75.
Now,
Putting m = 6 months in:
G(m) = 49.5m + 89.75
G(6) = 49.5 x 6 + 89.75
= 297 + 89.75
= 386.75
Thus the cost of joining the gym for 6 months is G(6) = 386.75.
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which expression is equivalent to 12x4(x-3)(x+5) / 30 x (x+3) (x+5)
Answer:
D. 2x^3(x-3)/5(x+3)
Step-by-step explanation:
when we simplify it.. we get 2x^3(x-3)/5(x+3).
The weights of bags of chips are normally distributed with a mean of 180 grams and a standard deviation of 4 grams.
What percent of the bags of chips weigh less than 176 grams?
2.5%
16%
32%
34%
The percent of the bags of chips weigh less than 176 grams is b 16%
What percent of the bags of chips weigh less than 176 grams?From the question, we have the following parameters that can be used in our computation:
Mean = 180
Standard deviation = 4
Bags of chips weigh less than 176 grams
This means that
x = 176
So, the z-score is
z = (176 - 180)/4
Evaluate
z = -1
The percent of the bags of chips weigh less than 176 grams is represented as
P = P(z < -1)
Using a graphing calculator, we have
Percentage = 0.15866
So, we have
Percentage = 16%
Hence , the percentage is 16%
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Which of the following is not a step to find the area of the figure determined by thepoints (-3, -5). (-2, 7). (4, 1) and (3, -6)?
Consider the following picture of the figure determined by the points (-3, -5). (-2, 7), (4, 1) and (3, -6):
Notice that this figure is similar to a parallelogram (drawn more carefully). The area of a parallelogram is given by the product of its height and base. To find the lenght of its height and base we can use the distance formula.
Then, we can conclude that the correct answer is:
Answer: The step that should not be followed to find the area is:a certain radioactive isotope has leaked into a small stream. one hundred days after the leak 8% of the original amount of substance remained. Determine the half life of this radioactive isotope
Answer:
The half-life of a radioactive substance is the time it takes for half of the initial amount of the substance to decay. We can use the fact that 8% of the original amount remains after 100 days to determine the half-life of the isotope.
Let's assume that the initial amount of the substance is 1 unit (it could be any amount, but we're assuming 1 unit for simplicity). After one half-life, half of the original amount remains, or 0.5 units. After two half-lives, half of the remaining amount remains, or 0.25 units. After three half-lives, half of the remaining amount remains, or 0.125 units. We can see that the amount of substance remaining after each half-life is half of the previous amount.
We can use this information to set up the following equation:
0.08 = (1/2)^n
where n is the number of half-lives that have elapsed. We want to solve for n.
Taking the logarithm of both sides, we get:
log(0.08) = n*log(1/2)
Solving for n, we get:
n = log(0.08) / log(1/2) = 3.42
So the number of half-lives that have elapsed is approximately 3.42. Since we know that 100 days is the time for three half-lives (from the previous calculation), we can find the half-life by dividing 100 days by 3.42:
Half-life = 100 days / 3.42 = 29.2 days (rounded to one decimal place)
Therefore, the half-life of the radioactive isotope that leaked into the stream is approximately 29.2 days.
Kerry invited 23 friends to his pool party. They played a game where everyone had to separate into groups. Each group had the same number of children.The game could not be played with all 24 children in one group and each group had to have more than two children. Which of the following are ways that they could divide into groups? Choose all that apply.
Answer:
24:
6 of 4
or
8 of 3
Step-by-step explanation:
6x4=24
8x3=24
2. About 40 millions of aluminum cans can be recycled each month in the US. A quarter of these aluminum cans are used to make one aluminum boat. How many aluminum boats can be made in one year in the US?
Answer:
48
Step-by-step explanation:
About 40 millions of aluminum cans can be recycled each month in the US. A quarter of these aluminum cans are used to make one aluminum boat. How many aluminum boats can be made in one year in the US?
Given that:
Approximate Number of cans that can be recycled per month in the US = 40 million
Fraction of recycled cans that can be used to make an aluminum boat = 1/4
The number of aluminum boats that can be made in the US in one year :
If about 40 million cans are recycle per month :
The number of boat that can be made from each monthly recycled aluminum cans will be :
Number of monthly recycled can needed to make one boat:
1/4 * 40 million = 10 million cans
Hence, 40,000,000 / 10,000,000 = 4
4 aluminum boats can be made in one month :
Number of months in a year = 12
Number of aluminum boats that can be made in a year :
4 per month * 12 = 48 aluminum boats
What is the solution to the equation −6z+1=−4−7z , given the replacement set {−5, −3, −1} ?
−5
−3
−1
I don't know.
the solution to the system of equation from the replacement set is -5
Given the equation −6z+1=−4−7z, we are to find the value of z from the given equation:
Given
−6z+1=−4−7z
Collect the like terms;
-6z + 7z = -4 - 1
Simplify the result
z = -4 -1
z= -5
Hence the solution to the system of the equation from the replacement set is -5
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Answer:
-5
Step-by-step explanation:
I took the quiz in k12
A 2-gallon container of disinfectant costs $20.48. What is the price per cup?
Answer:
$0.64 per cup
Step-by-step explanation:
There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:
1 gallon: 16 cups
2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups
So we need to find the price of each cup:
1 cup = ($20.48 / 32 cups) = $0.64 per cup.
Queen spend 3/5 hrs studying and spend 4 /10 hrs at the computer. How much less time does queen spend at the computer compared to studying?
Answer:
Queen spends 1 1/1 less time at studying.
A marketing researcher must determine how many telephone numbers she needs to order from a sample provider to complete a survey of ATM users. The goal is to complete 400 interviews with ATM users. From past experience, she estimates that 70 percent of the phone numbers provided will be working phone numbers. The estimated incidence rate (percentage of people contacted who are ATM users) is 45 percent. Finally, she estimates from previous surveys that 37 percent of the people contacted will agree to complete the survey. How many telephone numbers should she order to complete the 400 interviews
Answer:
the required number of telephone orders to complete the 400 interviews is 3433
Step-by-step explanation:
Given the data in the question;
Let us represent the telephone numbers the researcher orders to complete the 400 interviews with Y.
Thus, The working phone numbers = 70% × Y
Now, number of ATM users = 45% × The working ph0ne numbers
⇒ 45% × ( 70% × Y )
number of ATM users = 0.45 × 0.70 × Y = 0.315Y
Thus; Number of people contacted that agrees to complete the survey will be;
⇒ 37% × number of ATM users
⇒ 0.37 × 0.315Y = 0.11655Y
so, since the researcher needs at least 400 interviews
Hence;
0.11655Y ≥ 400
Y ≥ 400 / 0.11655
Y ≥ 3432.0034 ≈ 3433
Therefore, the required number of telephone orders to complete the 400 interviews is 3433
What’s the correct answer for this question?
Answer:
30 ounces
Step-by-step explanation:
1 chain = 10 pounds per foot
3inches = ?
therefore
? = 30 ounces
Select the number that round to 387.4 when rounded to the nearest tenth.
A. 387.461
B. 387.344
C. 387.309
D. 387.352
E. 387.779
Answer:
D
Step-by-step explanation:
When rounding, the number 5 is rounded up. So the number 387.352 will be rounded up 387.4. Other options are not suitable. Correct answer is "D"
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Question 10 : Rockets the height in feet of a rocket t seconds after launch is modeled by the function below.Find its average speed( average rate of change) from 3 to 4 seconds.h(t)=-16t (2)+72t
there are 750 spectator in the stadium of which 420 are women and the rest are men
Complete Question:
There are 750 spectator in the stadium of which 420 are women and the rest are men. What percent of the spectators are women?
Answer:
Percentage = 56%
Step-by-step explanation:
Given the following data;
Total number of people = 750
Number of women = 420
To find the percentage of women;
First of all, we would determine the number of male spectators (men);
Number of men = Total number of people - Number of women
Number of men = 750 - 420
Number of men = 330
Next, we find the percentage of women;
\( Percentage = \frac {420}{750} * 100 \)
\( Percentage = \frac {42}{75} * 100 \)
\( Percentage = 0.56 * 100 \)
Percentage = 56%
Therefore, the percentage of the spectators that are women is 56%.
4. He takes 30 minutes to prepare 45 envelopes. If he continues at the same
rate, how many minutes will it take him to do 93 envelopes?
If he continues at the same rate, it will take 62 minutes to do 93 envelopes.
Let the first envelope be A.Let the second envelope be B.Given the following data:
Time A = 30 minutesNumber of A = 45 envelopesNumber of B = 93 envelopesTo find how many minutes it will take him to do envelope B, we would use direct proportion:
30 minutes = 45 envelopes
B minutes = 93 envelopes
Cross-multiplying, we have:
\(93\) × \(30 =\) \(45\) × \(B\)
\(2790 = 45X\\\\X = \frac{2790}{45}\)
B = 62 minutes
Therefore, it will take 62 minutes to do envelope B.
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Which expression represents the amount of money in Frank's account?
Frank deposits $20 a week into his bank account for several weeks
Let number of weeks be x.
Frank deposits every week=$20So the function is given by
\(\\ \sf\longmapsto f(x)=20x\)
Balance in first month
\(\\ \sf\longmapsto f(1)=20(1)=20\)
In second month
\(\\ \sf\longmapsto f(2)=20(2)=40\)
And so on
marciel is considering buying a flood insurance policy for the upcoming year that costs 600 600600 dollars and is worth 50 , 000 50,00050, comma, 000 dollars if her home floods. based on previous years, she estimates that there is a 2 % 2%2, percent chance of her home flooding this year. Is the "Expected Value" $800.00?
the expected value of the insurance policy is $1,000, not $800. This means that, on average, Marciel can expect to receive $1,000 if she buys the flood insurance policy.
To determine whether the "Expected Value" is $800.00, we need to calculate the expected value of the insurance policy. The expected value is calculated as the sum of the product of the probability and the value for each possible outcome.
In this case, there are two possible outcomes: either Marciel's home floods, or it doesn't. If her home floods, the value of the policy is $50,000. If her home doesn't flood, the value of the policy is $0. Marciel estimates that there is a 2% chance of her home flooding this year, so the probability of her home flooding is 0.02, and the probability of her home not flooding is 0.98.
To calculate the expected value, we use the following formula:
Expected Value = (Probability of Outcome 1 × Value of Outcome 1) + (Probability of Outcome 2 × Value of Outcome 2)
Expected Value = (0.02 × $50,000) + (0.98 × $0)
Expected Value = $1,000
Therefore, the expected value of the insurance policy is $1,000, not $800. This means that, on average, Marciel can expect to receive $1,000 if she buys the flood insurance policy. However, this does not necessarily mean that buying the policy is the best decision for Marciel. She should consider her personal circumstances and risk tolerance before deciding whether to purchase the policy.
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log(2)-log(8) check all that apply
The sum of 3 consecutive odd integers is -15. Find the integers.
Answer:
-7, -5, -3
Step-by-step explanation:
they equal to -15 together
A researcher tests whether cocaine use increases impulsive behavior in a sample of cocaine-dependent and cocaine-inexperienced mice.
Independent Variable: ________
Quasi-Independent Variable: ________
Dependent Variable: ________
Answer:
Independent variable: Cocaine Use
Quasi-Independent Variable: Cocaine-dependent and cocaine-inexperienced mice
Dependent variable: Increase in impulsive behavior
how many days will it take to finish a 20 pound bag of rice when you use 0.4 pounds each day
Answer:
50
Step-by-step explanation:
divide 20 by 0.4
= 20/0.4 = 20 * (1/0.4)
= 20*2.5
= 50
Need help with this equation 8x²+10x-3
Answer:
Step-by-step explanation:
You have to use the quadratic formula
x = -b +/- \(\sqrt{(b^{2} -4ac)/2a\)
and then you can simplify both answers so the first one would be -13/2 and the second would be -27/2
you usually have to reject an answer but since there is no equal sign in the question, you should be fine
Solve for x
-2x + 7 = 25
Answer:
-9
Step-by-step explanation:
Step 1:
-2x + 7 = 25
Step 2:
-2x = 18
Step 3:
-18 = 2x
Answer:
-9
Hope This Helps :)
Answer: -9
Step-by-step explanation: hope this helped ❤️