Answer:
C) Reflection across the x-axis.
Step-by-step explanation:
From Linear Algebra we define the reflection across the x-axis is for [tex]P(x,y) =(x,y)[/tex]:
[tex]P'(x,y) = (x, -y)[/tex] (1)
If we know that [tex]A(x,y) = (-1, 2)[/tex], [tex]B(x,y) =(-1,5)[/tex], [tex]C(x,y) = (-3, 5)[/tex] and [tex]D(x,y) =(-3, 2)[/tex], then the reflected points are, respectively:
[tex]A'(x,y) = (-1, -2)[/tex]
[tex]B'(x,y) = (-1,-5)[/tex]
[tex]C'(x,y) = (-3,-5)[/tex]
[tex]D'(x,y) = (-3,-2)[/tex]
In consequence, Kim performed a reflection across the x-axis to create triangle A'B'C'D'. The correct answer is C.
This question is based on the reflection of x- axis. Hence the correct answer is C, reflection across the x-axis.
Given:
Transform rectangle ABCD to rectangle A'B'C'D',
The vertices of rectangle ABCD is A(-1,2) B(-1,5) C(-3,5) D(-3,2).
The vertices of rectangle A'B'C'D is A'(-1,-2) B'(-1,-5) C'(-3,-5) D'(-3,-2).
We need to determined the transformation that Kim perform to create rectangle A'B'C'D.
From Linear Algebra we define the reflection across the x-axis is for,
P(x,y) = (x,y)
P(x,y) = (x,-y) .....(1)
It is given that A(-1,2), B(-1,5), C(-3,5) and D(-3,2).
Therefore from equation (1) above point becomes,
A'(x,y) = (-1,-2)
B'(x,y) =(-1,-5)
C'(x,y) =(-3,-5)
D'(x,y) =(-3,-2)
Therefore, It is observe that Kim performed a reflection across the x-axis to create triangle A'B'C'D'. Hence the correct answer is C, reflection across the x-axis.
For further details, please refer this link:
https://brainly.com/question/25095797
The radius of a ball is 7 inches. What is the approximate surface area of the ball? Round to the nearest tenth and use
3.14 fors
Recall the formula SA-4.
O 87.9 square inches
O 175.8 square inches
O 196 square inches
O 615.4 square inches
Answer:
615.832in^2
Step-by-step explanation:
Step one:
given
The radius of a ball is 7 inches.
Required:
the surface area of the ball
Step two:
the formula for the surface area is
SA= 4πr^2
substitute
[tex]SA=4*3.142*7^2\\\\SA= 4*3.142*49\\\\SA=615.832 in^2\\\\[/tex]
A wizard-in-training has 300 grams of 20% liquid-gold solution. He wishes to drain some and replace it with an 80% solution, so that he gets 300 grams of 35% solution. How many grams should the wizard drain and replace with 80% solution?
Answer:
it would take 4 grams. I hope this helps
Answer:
75 grams! hope this helps :3
Dan earns £9.90 per hour. How much will he earn for 4 hours work?
Answer:
39.60
Step-by-step explanation:
9.90 x 4 = 39.60
Carl is the beneficiary of a $29,000 trust fund set up for him by his grandparents. Under the terms of the trust, he is to receive the money over a 7-year period in equal installments at the end of each year. If the fund earns interest at the rate of 4%/year compounded annually, what amount will he receive each year?
Answer:
$8,939.58
Step-by-step explanation:
Let x represent the amount to be received each year
==> x * Present value annuity factor (4%,7yrs) = $29,000
==> x * 3.240 = $29,000
==> x = $29,000/3.244
x = 8939.580764488286
x = $8,939.58
So, $8,939.58 is the amount he will receive each year.
The U.S. Department of Agriculture claims that the mean consumption of coffee by a person in the United States is 24.2 gallons per year. A random sample of 101 people in the United States shows that the mean coffee consumption is 23.5 gallons per year with a standard deviation of 3.2 gallons. At α=0.05, can you reject the claim? Using a P-value, evaluate the claim. Using Rejection Regions for a z-test, evaluate the claim.
Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the claim
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 24.2 \ gallons \ per \ year[/tex]
The sample size is n = 101
The sample mean is [tex]\= x = 23.5 \ gallons\ per\ year[/tex]
The standard deviation is [tex]\sigma = 3.2 \ gallons[/tex]
The null hypothesis is [tex]H_o : \mu = 24.2[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 24.2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{ 23.5 - 24.2 }{ \frac{ 3.2}{ \sqrt{ 101} } }[/tex]
=> [tex]z = -2.198[/tex]
From the z table the area under the normal curve to the left corresponding to -2.198 is
[tex]P(Z < -2.198 ) = 0.013975[/tex]
Gnerally the p-value is mathematically represented as
[tex]p-value = 0.013975 * 2[/tex]
=> [tex]p-value = 0.02795[/tex]
From the value obtained we have that [tex]p-value \ < \ \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the claim
Using the Rejection Regions for a z-test method
Generally from the z table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]z_{critical} = \pm 1.96[/tex]
Not we are using [tex]\frac{\alpha }{2}[/tex] because it is a two - tailed test
Now comparing the critical value and the test statistics we see that the
region covered by the test statistics (i.e [tex]2.198 < z < -2.198[/tex]) is greater than the region covered by the critical value (i.e [tex]1.96 < z < -1.96[/tex])
Hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the claim
Can anyone solve this? If so tell me and make sure u know what ur doing please
Answer:
-2
Step-by-step explanation:
To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be using the points (-3, 2) and (-1, -2).
[tex]\frac{rise}{run}[/tex] = [tex]\frac{-2-2}{-1-(-3)}[/tex]
= [tex]\frac{-2-2}{-1+3}[/tex]
= [tex]\frac{-4}{2}[/tex]
= -2
I will give brainliest
Jared is going to plant 20 small plants around the edge of a circular garden that is 8 feet in diameter. If he spaces the plants evenly, how much distance will be between the plants?
25.12 feet
12.56 feet
2.5 feet
1.26 feet
Answer:
2.5 feet
Step-by-step explanation:
20/8=2.5
Which three lengths could be the lengths of the sides of a triangle?
A. 6 cm, 23 cm, 11 cm
B. 10cm, 15cm, 24cm
C. 22 cm, 6 cm, 6 cm
D. 15 cm, 9 cm, 24 cm
Answer:
D. 15 cm, 9 cm, 24 cm
Step-by-step explanation:
The three lengths that could be the lengths of the sides of a triangle, must satisfy the following condition;
---sum of any two smaller sides chosen must be equal to the third side.
Test option A : 6 cm + 11 cm = 17 cm ( 17 cm ≠ 23 cm)
Test option B: 10 cm + 15 cm = 25 cm (25 cm ≠ 24 cm)
Test option C: 6 cm + 6 cm = 12 cm (12 cm ≠ 22 cm)
Test option D: 15 cm + 9 cm = 24 cm (24 cm = 24 cm) ---correct option.
Thus, the three lengths that could be the lengths of the sides of a triangle are 15 cm, 9 cm, and 24 cm
Sam mows a ¼ of a lawn in ½ of an hour. At this rate, how long will it take him to finish one lawn?
Answer:
Two hours
Step-by-step explanation:
1/4 = 1/2
2/4 = 1
3/4 = 1 1/2
4/4 = 2
There is a proportional relationship between time in hours and time in days.
A. What is the constant of proportionality?
B. what equation describes this relationship?
Of the proportional relationship between time in hours and time in days, we have that:
a) The constant of proportionality is 24.
b) The equation is [tex]h = 24d[/tex].
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:[tex]y = kx[/tex]
In which k is the constant of proportionality.Item a:
A day has 24 hours, hence the constant of proportionality is 24.
Item b:
Considering the time in hours as the output and the time in days as the input, the equation is:
[tex]h = 24d[/tex]
You can learn more about proportional relationships at https://brainly.com/question/25815502
"Individuals, cultures, societies, and the world change through times of conflict and cooperation."
The statement above exemplifies the era of global expansion and encounter. What other word also reflects this theme?
Technology
Trade
Monopoly
Hegemony
Hi if i have 8,000 saving for 12,000 how much more do i need?
Answer: 4,000
Step-by-step explanation: 12,000 - 8,000 = 4,000 Hope it helped!! :)
What is 18 percent of 210?
Answer:
WN=37.8
Step-by-step explanation:
WN=18%*210
WN=0.18*210
WN=37.8
rename the fraction 2/5 using tenths and hundredths
Answer:
20/50
Step-by-step explanation:
i think
The point (-3, 8) is translated using the rule (x + 5, y - 7). The new point is (____).
O (2, 1)
O (8,1)
O (-2, 15)
0 (-8, 1)
Answer:
(2, 1)
Step-by-step explanation:
You add 5 to the x coordinate, which is -3 and you get 2. Then add -7 to the y coordinate, which is 8 and get 1
Answer:
(2, 1)
Step-by-step explanation:
(x + 5, y - 7), (-3, 8)
(- 3 + 5, 8 - 7) = (2 + 1)
Thus, The new point is (2 + 1).
-TheUnknownScientist
Luisa's restaurant bill comes to $85.50, and she leaves a 18% tip. What is Luisa's total
restaurant bill?
Answer:
85.50+15.39=100.89 dollars
Step-by-step explanation:
First, you calculate the tip cost, which is 15.39. Then you add that to the bill which gives you your total :D
in a cookie recipe 1 and 2/3 cups milk makes 16 cookies. How many cups of needed to make 24 cookies
Answer:
2 1/2 or 5/2 cups of milk
Step-by-step explanation:
if 16 cookies are made from 1 2/3 cups of milk which equals 5/3 cups of milk that means that you need 5/2 or 2 1/2 cups of milk to make 24 cookies because you need to multiply 5/3 by 16 and then multiply 5/48 by 24 which is 5/2 or 2 1/2 cups of milk
-26=b-13
Plz answer I’m a month late on this test
Answer:
B = -13
Step-by-step explanation:
Add 13 to both sides
- 13 = b
Do y’all know the answer ?
Answer:
700
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
because it 719,283 so you have to look at the 71 for this equation and sense the 1 is in higher then 5 it stays the same
hope that helps :)
Simplify by using the o
3–8(4-9)=
Answer:
-51
Step-by-step explanation:
3-24+72=0
75-24=0
51=0
If $2000 is deposited into an account paying simple interest of 6% per year on a monthly basis, in how many months will this account increase by $90?
A. 22
B. 15
C. 9
D. 4
You earn 18n dollars. How much do you earn for mowing 3 lawns? 9 lawns?
Answer:
I am confused but my best guess would be you would earn 54$ for 3 lawns and 162 for 9
Step-by-step explanation:
You multiply 3 x 18 and 9 x 18
Im sorry if im wrong but i dont know what you were asking
you spin the spinner twice what is the probability of landing on a 6 and then landing on a number greater than 4
p(6,then>4)=
a)1/4
b)1/6
c)1/8
d)1/10
Find the greatest common factor of 6 and 35
Answer:
6
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
-8+12 divided by 2 + (-14)
Answer:
-16
Step-by-step explanation:
Answer:
the answer is negitive 12 or -12
The difference between teenage female and male depression rates estimated from two samples is 0.08. The estimated standard error of the sampling distribution is 0.04. what is the 95% confidence interval? Use the critical value z - 1.96.
Round all calculations to two decimal places. Put lower bound in the first box and upper bound in the second box.
Answer: (0.0016, 0.1584)
Step-by-step explanation:
Given that:
Mean (m) = 0.08
Standard Error = 0.04
Zcritical at 95% = 1.96
Using the relation :
Mean ± Zcritical * (standard error)
0.08 ± 1.96 * (0.04)
Lower boundary = 0.08 - (1.96 * 0.04)
Lower boundary = 0.08 - 0.0784 = 0.0016
Upper boundary = 0.08 + (1.96 * 0.04)
Upper boundary = 0.08 + 0.0784 = 0.1584
Confidence interval is Hence,
(0.0016, 0.1584)
The 95% confidence interval is given by (0.0016 , 0.1584) and this can be evaluated by using the mean and standard error relation.
Given :
The difference between teenage female and male depression rates estimated from the two samples is 0.08.The estimated standard error of the sampling distribution is 0.04.The critical value z = 1.96.95% confidence level.To determine the 95% confidence interval using the following relation:
[tex]\rm \mu \pm z_{critical}\times standard \;error[/tex]
[tex]0.08\pm 1.96\times 0.04[/tex]
So, the lower and upper boundary is (0.0016 , 0.1584).
Therefore, the 95% confidence interval is given by (0.0016 , 0.1584).
For more information, refer to the link given below:
https://brainly.com/question/16555520
Find the value of x 6x+2-2x=3x+14-x
Step-by-step explanation:
x will equal 6
hope this helps bro if u need the explanation I'll explain to u if needed
6x + 2 - 2x = 3x + 14 - x
6x - 2x + 2 = 3x - x + 14
4x + 2 = 2x + 14
4x - 2x = 14 - 2
2x = 12
x = 12/2
x = 6
The square below represents one whole. Express the shaded area as a fraction, a decimal, and a percent of the whole. Fraction: Decimal: Percent: %
Answer:
Fraction = [tex]\frac{19}{50}[/tex]
Decimal = 0.38
Percent = 38%
Step-by-step explanation:
Number of shaded rectangles = 38
Total number of rectangles = 100
Fraction represented by the shaded area = [tex]\frac{\text{Number of blocks shaded}}{\text{Total number of blocks}}[/tex]
= [tex]\frac{38}{100}[/tex]
= [tex]\frac{19\times 2}{50\times 2}[/tex]
= [tex]\frac{19}{50}[/tex]
Decimal form of the shaded area = [tex]\frac{38}{100}[/tex] = 0.38
Percent of the shaded area = [tex]\frac{38}{100}[/tex] = 38%
Answer:
Fraction =
Decimal = 0.38
Percent = 38%
Step-by-step explanation:
Number of shaded rectangles = 38
Total number of rectangles = 100
Fraction represented by the shaded area =
=
=
=
The decimal form of the shaded area = = 0.38
Percent of the shaded area = = 38%
Alex mows lawns. He earns $15 per lawn. How much does he earn in 4 days if he mows 5 lawns per day?
Answer:
He would make 300 dollars.
Step-by-step explanation:
15 x 5 = 75
75 x 4 = 300.
Answer:
answer is 300
Step-by-step explanation:
Because if your doing it for 1 day you would have to 15*5 which five you 75. Then you multiple that 75 with the 4 and give you 300 within the 4 days..
Hopes this help.
Profit is the amount of money that remains after all expenses of a project have been paid. The year has just ended, and Ajax Construction's owner is anxious to find out if the company had a profitable year. The company was awarded five contracts totaling $7,435,000. The costs associated with each project were: Project 1: $1,245,000 Project 2: $985,689 Project 3: $1,723,000 Project 4: $2,567,054 Project 5: $633,768 How much profit did the company earn?
Answer:
the Profit earned by the company is $280,489
Step-by-step explanation:
Total Cost of 5 projects awarded = $7,435,000
Cost of Project 1 = $1,245,000
Cost of Project 2 = $985,689
Cost of Project 3 = $1,723,000
Cost of Project 4 = $2,567,054
Cost of Project 5 = $633,768
We need to find the profit earned by the company.
First we need to find Total cost spent on all 5 projects.
It can be found by adding cost spent on all projects.
Total cost spent on all 5 projects = Cost of Project 1 + Cost of Project 2 + Cost of Project 3 + Cost of Project 4 + Cost of Project 5
Total cost spent on all 5 projects = $1,245,000+ $985,689 + $1,723,000+ $2,567,054 + $633,768
Total cost spent on all 5 projects = $7,154,511
Now we can calculate profit earned using formula:
Profit earned = Total Cost of 5 projects awarded - Total cost spent on all 5 projects
Profit earned = $7,435,000 - $7,154,511
Profit earned = $1,280,489
So, the Profit earned by the company is $280,489