The polygon ABCD is transformed 4 units to the left after being reflected across the x-axis.
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
Reflect the polygon ABCD across the x-axis as;
A(x, y) → A'(x, -y) (x, -y) (x, -y)
According to this rule, A's coordinates are
A(1, -5) → A'(1, 5) (1, 5) (1, 5)
ABCD is shifted 4 units further to the left.
Now apply to the translation:
A"(x - 4, y) = A'(x, y) (x - 4, y)
A'(1, 5) → A"(1 - 4, 5) (1 - 4, 5) (1 - 4, 5)
→ A"(-3, 5) (-3, 5) (-3, 5)
Thus Polygon ABCD will eventually overlap Polygon A'B'C'D' through a series of transformations.
Learn more about transforming functions here:
https://brainly.com/question/17006186
#SPJ1
the value of all things needed to create the product
Answer:
All of the functions required to transform inputs into outputs (goods and ... provide all of the materials and supplies required to create finished products and deliver ... System for determining the right quantity of various items to have on hand
Step-by-step explanation:
In how many ways can a committee of 3 Democrats and 2 Republicans be formed from a group of 11 Democrats and 10 Republicans?
Step-by-step explanation:
that sounds like the sequence does not matter (e.g. the selection of Democrat A and Democrat B is the same as the selection of Democrat B and Democrat A).
and repetition is not possible (there cannot be a single person appearing twice in a selection).
so, we have combinations without repetition.
how many options do we have to select the 3 Democrats out of 11 ?
C(11, 3) = 11! / (3! × (11 - 3)!) = 11! / (3! × 8!) = 11×10×9/(3×2) =
= 11×5×3 = 165
how many options do we have to select the 2 Republicans out of 10 ?
C(10, 2) = 10! / (2! × (10 - 2)!) = 10! / (2! × 8!) = 10×9/2 =
= 5×9 = 45
how many optics now to build the committee ?
for each of the Democrat selections we have all Republican options.
so, we have
165 × 45 = 7,425
different ways to build the committee.
Q1. An industry analyst wants to compare the average salaries of two firms, both to each other and to the industry. Firm A's average salary is 93% of the industry average, Firm B's average salary is $58,000, and the industry average salary is 96% of Firm B's average salary. a. Determine the industry average salary. b. Determine Firm A's average salary. c. Express Firm B's average salary as a percentage of Firm A's average salary. Round the percentage to two decimals.
a.The Industry Average Salary is $55,680. b.The Firm A's Average Salary is $51,718.40 .c. Firm B's average salary is approximately 112.27% of Firm A's average salary.
a. To determine the industry average salary, we can use the information that the industry average salary is 96% of Firm B's average salary. Firm B's average salary is $58,000. Therefore, we can calculate the industry average salary as follows:
Industry Average Salary = 96% of Firm B's Average Salary
= 0.96 * $58,000
= $55,680
b. Firm A's average salary is stated as 93% of the industry average salary. To calculate Firm A's average salary, we can multiply the industry average salary by 93%:
Firm A's Average Salary = 93% of Industry Average Salary
= 0.93 * $55,680
= $51,718.40
c. To express Firm B's average salary as a percentage of Firm A's average salary, we can divide Firm B's average salary by Firm A's average salary and multiply by 100:
Percentage = (Firm B's Average Salary / Firm A's Average Salary) * 100
= ($58,000 / $51,718.40) * 100
≈ 112.27%
For more such questions on Industry Average Salary
https://brainly.com/question/28947236
#SPJ8
please I need help
Answer:
6
Step-by-step explanation:
Parrelal lines, so SRQ will be 180-108=72. 72/12=6.
Given that O is
the center of the
circle and line
segment XY is a
tangent line, find
the measure of
angle BAX.
Answer:
Step-by-step explanation:
ahh 30° is the mystery angle . sooo
180-30 = 150 that angle BOA
then the other two angle are each 15°
so then BAX is 90-15=75°
:)
first person to answer will get brainliest.
Answer:
the first one because x's don't repeat in this one
Step-by-step explanation:
A digital thermometer in Olivia's car says the temperature outside is –5°C. Which statement BEST describes the meaning of the value –5 in this context?
The value -5°C represents the temperature outside as measured by the digital thermometer in Olivia's car.
Which statement describes the meaning of the valueIn this context, the value -5 represents the temperature outside in Celsius degrees.
The minus sign indicates that the temperature is below freezing point. The Celsius scale is a temperature scale that uses the freezing point of water (0°C) and the boiling point of water (100°C) at standard atmospheric pressure as its reference points.
Thus, a temperature of -5°C means that it is five degrees Celsius below the freezing point of water.
The negative sign indicates that the temperature is below zero degrees Celsius, which is the freezing point of water.
Read more about expression at
https://brainly.com/question/15775046
#SPJ1
For a $200,000 mortgage, with an interest rate of 4% paid over 20 years, the monthly payment is $1,211.96. After one month, what is the balance of the loan? Give your answer to the nearest dollar.
The balance on the loan will be $198,908.
Based on the information given, the amount of interest for the first month will be:
= $200,000 × 0.0412
= $666.67
During the first month, the amount subtracted from the loan will be:
= $12111.96 - $666.67
= $545.29.
The interest accrued for the second month will be:
= $199454.71 × 0.0412
= $664.85
Therefore, the balance on the loan after the second month will be:
= $199454.71 - $547.11
=$198,907.60
Read related link on:
https://brainly.com/question/21520622
I don’t understand these questions
Order of fractions from smallest to largest:
4/15, 3/10, 11/15, 17/20, 9/101/4, 1/3, 2/5, 2/3, 3/4 4/3, 7/5, 5/3, 7/4, 9/4 13/10, 13/6, 11/5, 25/6, 21/5How to order fractions3/10, 4/15, 9/10, 11/15, 17/20If sorted we first equate the denominator to 60.
18/60, 16/60, 54/60, 44/60, 51/60
So if sorted from smallest to largest, the order becomes:
4/15, 3/10, 11/15, 17/20, 9/10
1/4, 1/3, 2/3, 3/4, 2/5If sorted we first equate the denominator to 60. it becomes:
15/60, 20/60, 40/60, 45/60, 24/60
So if sorted from smallest to largest, the order becomes:
1/4, 1/3, 2/5, 2/3, 3/4
9/4, 4/3, 5/3, 7/4, 7/5If sorted we first equate the denominator to 60. it becomes:
135/60, 80/60, 100/60, 105/60, 84/60
So if sorted from smallest to largest, the order becomes:
4/3, 7/5, 5/3, 7/4, 9/4
21/5, 13/6, 25/6, 11/5, 13/10If sorted we first equate the denominator to 30. it becomes:
126/30, 65/30, 125/30, 66/30, 39/30
So if sorted from smallest to largest, the order becomes:
13/10, 13/6, 11/5, 25/6, 21/5
Learn more about fraction at
https://brainly.com/question/12220774
#SPJ1
The height h of an object thrown from the top of a ski lift 1240 feet high after t seconds is h=-16t2 +32t+1240. For what times is the height of the object at least 1000 feet?
←
The height of the object is at least 1000 feet from seconds to seconds.
Check the picture below.
so the parabolic path of the object is more or less like the one shown below in the picture, now this object has an initial of 1240 ft, as it gets thrown from the ski lift, so from 0 seconds is already higher than 1000 feet.
\(h=-16t^2+32t+1240\hspace{5em}\stackrel{\textit{a height of 1000 ft}}{1000=-16t^2+32t+1240} \\\\\\ 0=-16t^2+32t+240\implies 16t^2-32t-240=0\implies 16(t^2-2t-15)=0 \\\\\\ t^2-2t-15=0\implies (t-5)(t+3)=0\implies t= \begin{cases} ~~ 5 ~~ \textit{\LARGE \checkmark}\\ -3 ~~ \bigotimes \end{cases}\)
now, since the seconds can't be negative, thus the negative valid answer in this case is not applicable, so we can't use it.
So the object on its way down at some point it hit 1000 ft of height and then kept on going down, and when it was above those 1000 ft mark happened between 0 and 5 seconds.
How to solve (x+7)(x-9)>0
Answer:
x < -7, x > 9.
Step-by-step explanation:
Solve for x.
x = -7, 9
From the values of x above, we have these 3 intervals to test.
\(x < - 7\)
\( - 7 <x < 9\)
\(x > 9\)
Pick a test point for each interval.
For the interval x < −7:
Let's pick x=−8. Then, (-8 + 7) (-8 - 9) > 0.
After simplifying, we get 17>0, which is true
Keep this interval.
Let's pick x=0. Then, (0+7)(0-9) > 0.
After simplifying, we get −63 > 0, which is false.
Drop this interval.
For the interval x > 9:
Let's pick x=10. Then, (10+7)(10-9)>0.
After simplifying, we get 17 > 0, which is true
Keep this interval.
Therefor, the answer is x < -7, x > 9.
Which of the following is false about the central limit theorem (CLT)? O If we take more samples from the original population, the sampling distribution is more likely to be nearly normal. O If the population distribution is normal, the sampling distribution of the mean will also be nearly normal, regardless of the sample size. O As the sample size increases, the sampling distribution of the mean is more likely to be nearly normal, regardless of the shape of the original population distribution. O The CLT states that the sampling distribution will be centered at the true population parameter.
Only the first statement is false. The rest are true statements about the Central Limit Theorem.
The Central Limit Theorem (CLT) is a fundamental theorem in probability and statistics which states that, given a sufficiently large sample size from a population with a given mean and standard deviation, the sampling distribution of the mean will be nearly normal, regardless of the shape of the original population distribution.
It is important to note that the first statement presented is false. Taking more samples from the population will not necessarily result in a more normal sampling distribution. The CLT does not guarantee that the sampling distribution will be normally distributed, only that it is more likely to be so as the sample size increases.
The second statement is true. If the population distribution is normal, the sampling distribution of the mean will also be nearly normal, regardless of the sample size. The third statement is also true. As the sample size increases, the sampling distribution of the mean is more likely to be nearly normal, regardless of the shape of the original population distribution.
Finally, the fourth statement is also true. The CLT states that the sampling distribution will be centered at the true population parameter. This means that the mean of the sampling distribution will be equal to the mean of the population.
Learn more about Central Limit Theorem at : https://brainly.com/question/18403552
#SPJ4
Z = 2x - y
maximum
minimum
AY
(7,9)
(2,6
S
(2, 2)
(10.1)
My dog is licking my toes ಥ_ಥ
This is due in like a hour please help!
Answer:
i think the fourth one is equvilent ratio
Step-by-step explanation:
100 Points! Algebra question, only looking for an answer to B. Photo attached. Please show as much work as possible. Thank you!
Apply the fraction rule:
\(\text{a}\times\dfrac{\text{b}}{\text{c}} =\dfrac{\text{a}\times\text{b}}{\text{c}}\)
Answer:
\(\longrightarrow\boxed{\bold{\frac{\text{fx}}{\text{g}}}}\)
branlyueer099799893
3 minutes ago
Mathematics
College
ANSWER RIGHT AWAY PLEASE!
question one: simply the exponents. (show your work)
- 21^0 = ?
- (2/3)^-2 = ?
question two: Solve the problem. (leave your answer as a base number with an exponent and show your work)
- 4^6 / 4^2 = ?
question three: Convert the number into numerical form. (show your work)
- 8.723 x 10^-10 = ?
question four: Solve the problem. (leave your answer in scientific notion and show your work)
- 5.1 x 10^8 - 2.3 x 10^3 = ?
- 6 x 10^5 x 1.1 x 10^7 = ?
PLEASE ANSWER I WILL GIVE 50 POINTS TO ANYONE WHO ANSWERS AND MARK BRAINLIEST AT LEAST ANSWER THE ONES YOU KNOW
The work unit which you supervise is responsible for processing fifteen reports per
month.
If your unit has four clerks and the best worker completes 40% of the reports himself,
how many reports would each of the other clerks have to complete if they all do an
equal number?
Each of the other three clerks have to complete 3 reports each.
The top employee finishes 40% of the reports, or: 0.40 x 15 = 6 reports.
Therefore, the other three clerks must finish the remaining 60% of the reports.
Total reports to be completed by the other clerks = 0.60 x 15 = 9 reports
We may distribute the remaining reports evenly among the other clerks since they all have an equal number of reports to complete:
Number of reports each of the other clerks have to complete = 9 reports ÷ 3 clerks = 3 reports
Therefore, each of the other three clerks have to complete 3 reports each.
Learn more about multiply here : brainly.com/question/10873737
#SPJ1
To paint a house, a painting company charges a flat rate of $500 for supplies plus $50 for each hour of labor. What is the slope of the line?
Complete the recursive formula of the geometric sequence 10,6, 3.6, 2.16
Answer:
a(1) = 10
a(n) = a(n-1)·0.6
Step-by-step explanation:
The first term of the sequence is the one listed first: 10. That means a(1) = 10.
The next term of the geometric sequence will be the first term multiplied by the common ratio. That ratio can be found as the ratio of the second term to the first:
r = 6/10 = 0.6
So, the recursive formula is ...
a(n) = a(n-1)·r
a(n) = a(n-1)·0.6
Answer:
a(1) = 10
a(n) = a(n-1)·0.6
A certain chromosome defect occurs in only 1 in 200 adult Caucasian males. A random sample of 100 adult Caucasian males will be selected. The proportion of men in this sample who have the defect, ^p, will be computed.
A. What is the mean value of the sample proportion ^p, and what is the standard deviation of the sample proportion?
B. Does ^p have approximately a normal distribution in this case? Explain.
A. Yes, because np < 10 and n(1 − p) < 10
B. Yes, because np > 10 and n(1 - p) > 10.
C. No, because np < 10.
D. No, because np > 10.
C. What is the smallest value of n for which the sampling distribution of ^p is approximately normal?
Answer:
0.005 `; 0.00499 ;
No, because np < 10 ;
2000
Step-by-step explanation:
Given that:
Number of samples , n = 100
Proportion, p = x / n
p = 1 / 200
= 0.005
p = μ
Standard deviation of sample proportion :
σp = sqrt((p(1 - p)) / n)
σp = sqrt((0.005(1 - 0.005)) / 200)
σp = sqrt((0.005(0.995)) / 200)
σp = sqrt(0.004975 / 200)
σp = sqrt(0.000024875)
σp = 0.0049874
σp = 0.00499
np = 100 * 0.005 = 0.5
n(1 - p) = 100(1-0.05) = 95
Smallest value of n for which sampling distribution is approximately normal
np ≥ 10
0.005n ≥ 10
To obtain the smallest value of n,
0.005n = 10
n = 10 / 0.005
n = 2000
Using the Central Limit Theorem, it i found that:
A. The mean is of 0.005, with a standard deviation of 0.0071.B. C. No, because np < 10.C. The smallest value of n for the sampling distribution to be approximately normal is 2000.Central Limit TheoremIt states that for the sampling distribution of sample proportions of a proportion p in a sample of size n, the mean is \(\mu = p\) and the standard deviation is \(s = \sqrt{\frac{p(1-p)}{n}}\) .The sampling distribution of sample proportions can be approximated to a normal distribution if \(np \geq 10\) and \(n(1 - p) \geq 10\).In this problem:
The defect occurs in only 1 in 200 adult Caucasian males, hence \(p = \frac{1}{200} = 0.005\).A sample of 100 is selected, hence \(n = 100\).Item a:
\(\mu = p = 0.005\)
\(s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.005(0.995)}{100}} = 0.0071\)
The mean is of 0.005, with a standard deviation of 0.0071.
Item b:
\(np = 100(0.005) = 0.5\)
np < 10, hence not normal, and option C is correct.
Item c:
\(np = 10\)
\(0.005n = 10\)
\(n = \frac{10}{0.005}\)
\(n = 2000\)
The smallest value of n for the sampling distribution to be approximately normal is 2000.
To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/25581475
Which linear inequality is represented by the graph?
2x + 4
+ 3
y = 2 x + 3
y: 2x + 3
Answer:
C
Step-by-step explanation:
Henry bought a car for $14,000. After two years, the value of the car was $8,400. What was the percent decrease in the value of the car after two years?
Answer:
40%
Step-by-step explanation:
I I have taken 14000-8400=5600. then I took the formula =decrease × 100 over original price hope that helps.
There will be 40 percent decrease in the price of the car after two years.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
Given that,
The initial price of car = $14,000
After two year, the price of car = $8,400
The decrease in the price of the car = 14,000- 8,400
= 5600
The decrease in percentage = 5600×100/14000
= 560/14
= 40%
The percent decrease in the value of the car after two year is 40%.
To know more about Percentage on:
https://brainly.com/question/24120406
#SPJ2
2,000 milliliters +2.5 liters+1,500 milliliters+2 liters =
The final answer is 8 liters (8000 milliliters/1000).
To add these volumes, we need to convert everything to the same unit. We can convert liters to milliliters since 1 liter is equal to 1000 milliliters.
- 2.5 liters can be converted to 2500 milliliters (2.5 x 1000)
- 2 liters is equal to 2000 milliliters (2 x 1000)
Now we can add all the volumes in milliliters:
- 2,000 milliliters
- 2,500 milliliters
- 1,500 milliliters
- 2,000 milliliters
When we add these volumes, we get a total of 8,000 milliliters. However, we can simplify this answer and convert it back to liters by dividing by 1000.
For such more questions on liters
https://brainly.com/question/31070474
#SPJ8
I don’t know how to do this lol someone help
Description:
1:
Subtract the numbers 14-2 =12
Add the numbers 3+3 =6
Drivide the numbers 12/6 =2
Answer:
1: =2
Hope this helps
21.5 sq. Cm
43 sq. Cm
100 sq. Cm
68.6 sq. Cm
\( \large \boxed{ \boxed{ \mathrm{21.5 \: \: cm {}^{2}} }}\)
Solution :By Observing the Above figure, we can conclude that the area of shaded region is equal to the Area of Square minus the sum areas of two equal semicircles (since their diameters are equal)
let's solve for area of square :
\(\longrightarrow \: \mathrm{side {}^{2} }\)
\(\longrightarrow10 {}^{2} \)
\(\longrightarrow \mathrm{100 \: cm {}^{2} }\)
Now,
Radius of the both semicircles measure :
\(\longrightarrow \dfrac{10}{2} \)
\(\longrightarrow5 \: cm\)
now, let's solve for their area
\( \longmapsto 2 \times \dfrac{\pi {r}^{2} }{2} \)
(Since, there are two semicircles)
\(\longrightarrow3.14 \times 5 \times 5\)
\(\longrightarrow78.5 \: cm {}^{2} \)
Area of Shaded region = Area of Square - Area of Semicircles, that is
\(\longrightarrow100 - 78.5\)
\(\longrightarrow \mathrm{21.5 \: cm {}^{2} }\)
\(\large\mathfrak{{\pmb{\underline{\orange{hope \: it \: helps \: you \: }}{\orange{.....}}}}}\)
What is the slope please help
Evaluate 4log4(3,100)
Answer:
\({ \tt{4 log_{4}(3100) }} \\ = { \tt{4 log_{4}(775 \times 4) }} \\ = { \tt{4 log_{4}(775) + 4 log_{4}(4) }} \\ = { \tt{4( (\frac{ log_{10}775 }{ log_{10}4 } ) +1)}} \\ = { \tt{4(4.8 + 1)}} \\ = { \tt{23.2}}\)
The graph of f is translated a whole number of units horizontally and vertically to obtain the graph of h
The function f is defined by f(x) = square root of x
Write down the expression for h(x).
The expression for h(x) is,
⇒ h (x) = √(x - 2) + 4
Now, Given that;
Initially the graph f (x) is shifted horizontally to the right.
When the graph shifts to right the function then becomes
f (x) → f (x-b)
Where b is the units by which it is shifted towards right .
So, in the figure we can see that it is shifted 2 units to the right .
So, f(x) → f(x-2)
Since f(x) is,
⇒ f (x) = √x
So, f (x-2) = √x - 2
Now, the new obtained graph is again shifted vertically upward
When the graphs shifts upward;
⇒ f(x) → f(x) + b
where b is the units by which it is shifted upward
So, our obtained f(x-2) when shifted upward by 4 units so using the above given transformation of upward shift
i.e. f(x) → f(x) + b
So, Our new graph h(x) = f(x-2) + 4
⇒ h (x) = √(x - 2) + 4
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ1
The volume of a cube is 3,375 cubic inches. What is the measure of each side of the cube?
Answer:
l=w=h=15
Step-by-step explanation:
Volume of a cube= l*w*h
where l=w=h
\(l = {}^{3} \sqrt{ v} \: \: \: l = {}^{3} \sqrt{3375} = 15 \)
15*15*15=3375
Hope this helps ;) ❤❤❤
The measure of each side of the cube will be 15 inches.
What is volume?The Volume of the cone is the amount of quantity, which is obtained in the 3-dimensional space. Volume is defined as the space occupied by an object in the three-Dimensions. All three parameters are required for the volume like length, width, and height of the cube or Cuboid
The cube has all the sides equal means that the length, width, and height of the cube will be the same. Let's suppose the length, width, and height of the cube is a.
The volume of a cube will be given by the formula:-
Volume = side³ = a³
a³ = 3375
a = ∛3375
a = ∛( 15 x 15 x 15 )
a = 15 cubic inches.
Therefore, the measure of each side of the cube will be 15 inches.
To know more about volume follow
https://brainly.com/question/35100
#SPJ5
What is the distance from point Yto wx in the figure below?
w
36 Z 15 X
39
152
y
A. Cannot be determined
B. 153
C. 15.2
D. 15
E. 3
O F. 7.5
Answer:15
Step-by-step explanation: