Given:
The point is (6,2).
To find:
The image of given point after rotation of 270 degrees.
Solution:
Let the given point be P(6,2).
Rotation of 270 degrees means the figure is rotated 270 degrees counterclockwise about the origin. So, the rule of rotation is
[tex](x,y)\to (y,-x)[/tex]
Using this rule, we get
[tex]P(6,2)\to P'(2,-6)[/tex]
Therefore, the image of given point is (2,-6).
Select three ratios that are equivalent to 5:2
Choose 3 answers:
(Choice A)
A
2:5
(Choice B)
B
10:4
(Choice C)
C
20:50
(Choice D)
D
35:14
(Choice E)
E
55:22
Answer:
B,D,E
Step-by-step explanation:
b-multiply by 2 for both
d- multiply by 7 for both
e-multiply by 11 for both
which is farther in order 2.5 miles,3.2 kilometers, 2300 meter, 3000 yards
Answer:
2300 meters, 3000 yards, 3.2 kilometers, 2.5 miles is smallest distance to longest distance. so the furthest, to the closest would be:
2.5 miles, 3.2 kilometers, 3,000 yards, 2,300 yards
Step-by-step explanation:
I hope this helps :)
Veronica wants to buy a new bicycle. The bicycle costs $310. Veronica
opened a savings account with $50. She also got a job and plans to
save $20 a week. How long will it take her to save up enough money
for the bike?
Step-by-step explanation:
bicycle cost= 310
initial money in savings account= 50
additional money saved per week = 20
number of weeks = w
you have to set up an equation
The equation is...
bicycle cost = additional money saved × w + initial money
Substitute the values
310 = 20w + 50
Solve for w
310 - 50 = 20w +50 - 50
260 = 20w
260÷ 20 = 20w÷ 20
13 = w
It will take 13 weeks for her to have enough money for her bicycle
I hope this helps!!!
Chloe needed to get her computer fixed. She took it to the repair store. The technician
at the store worked on the computer for 3.5 hours and charged her $197 for parts.
The total was $389.50. What was the cost of labor, per hour?
Answer:
he took $55.8for 1hr
Step-by-step explanation:
it's because we should devid eit for calculation for minute
Find the standard deviation if the mean of a sample is 72, a z-score of 3 Raw Score: 42 Raw Score: 81
Answer:
a) when x = Raw Score: 42
Standard deviation = σ = -10.3
b) Raw Score: 81
Standard deviation = σ = 2.67
Step-by-step explanation:
Find the standard deviation if the mean of a sample is 72, a z-score of 3
Z score formula is given :
z = (x-μ)/σ,
where
x is the raw score
μ is the population mean = 73
σ is the population standard deviation
z = 3
a) when x = Raw Score: 42
z = (x-μ)/σ
3 = 42 - 73/σ
Cross Multiply
3σ = 42 - 73
3σ = -31
σ = -31/3
σ = -10.3
b) Raw Score: 81
z = (x-μ)/σ
3 = 81 - 73/σ
Cross Multiply
3σ = 81 - 73
3σ = 8
σ = 8/3
σ = 2.67
Percents
Michael is leaving a 15% tip for his waitress. What percent of the
original price will he pay? Write your answer as a percent, decimal,
and fraction.
Given that,
Michael is leaving a 15% tip for his waitress.
To find,
What percent of the original price will he pay.
Solution,
Let the original price was 100%.
When he leaves a 15% tip for the waitress, he is really paying 100%+15%=115% of the original price.
[tex]115\%=\dfrac{115}{100}\\\\=1.15[/tex]
or
[tex]\dfrac{115}{100}=\dfrac{23}{20}[/tex]
So, this is the required solution.
A factory process requires 3 steps to finish a product. The steps each have a mean completion time of μ=10 seconds and a standard deviation of σ=5 seconds. The time it takes to complete each step is independent from the other steps. Let T be the total completion time of the 3 steps on a randomly chosen product.
Find the mean of T.
Answer:
The mean of T is 10 seconds
Step-by-step explanation:
The given parameters are;
The mean completion time of each step, μ = 10 seconds
The standard deviation, σ = 5 seconds
Each step is independent from the other steps
The variable that represents the total completion time for the three steps = T
We have the mean of T, [tex]\overline T[/tex], given by the combined mean as follows;
[tex]\overline T = \dfrac{n_1 \cdot \overline x_1 + n_2 \cdot \overline x_2 + n_3 \cdot \overline x_3 }{n_1 + n_2 + n_3 }[/tex]
Where;
[tex]The \ mean \ completion \ time \ for \ each \ step \ is \ \overline x_1 = \overline x_2 = \overline x_3 = 10 \ seconds[/tex]
n₁ = n₂ = n₃ = 1, each step is taken only once, we have;
[tex]\overline T = \dfrac{1 \times 10 + 1 \times 10 + 1 \times 10 }{1 + 1 + 1 } = \dfrac{30}{3} = 10 \ seconds[/tex]
Therefore, the mean of T = 10 seconds
Using the normal distribution, it is found that the mean of T is of 30 seconds.
A normal distribution has two parameters: Mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex].
For n instances of a normal variable, the mean is [tex]n\mu[/tex] and the standard deviation is [tex]s = \sigma\sqrt{n}[/tex].In this problem, the mean is [tex]\mu = 10[/tex] and the standard deviation is [tex]\sigma = 5[/tex].
For the total completion, there are 3 instances, hence [tex]n = 3, n\mu = 3(10) = 30[/tex], hence, the mean of T is of 30 seconds.
A similar problem is given at https://brainly.com/question/24085252
Evaluate 5 - (4 + 2)2
O A. 9
O B. -15
O C. 5
O D.-31
Answer:
exponents first then multiply and subtract after
Step-by-step explanation:
the answer is 5
Please tell me how to do this or give me the answer either one is fine with me!!!!
:)
Answer:
16.85 cm²
Step-by-step explanation:
Find the area of the small circle then subtract the area of the large circle by the small circle
Area of small circle :
πr², where r = 4cm
π(4²) = 50.27 cm²
67.12 - 50.27 = 16.85 cm²
2x + 22 4x – 2 3x + 3
find x
Answer:
?Incomplete question!!
By what means these algebraic expressions are related?
Noam solved the equation for k using the following calculations. k-7.6 = 10.35 + 7.6 +7.6 k= 1741 What error, if any, did he make? He should have subtracted 7.6 instead of adding it. He should have subtracted 10.35 from both sides. O He made a computation error when he added 10.35+746. O He made a computation error when he added -7.6 and 7.6.
Answer: C- He made a computation error when he added 10.35+7.6.
Step-by-step explanation:
Noam did not line up the decimals when he was adding 10.35 and 7.6. So if you line up the decimals, you would get 17.95 instead of 17.41.
Answer
C.
Step-by-step explanation:
He made a computation error when he added 10.35+746.
*Cough* E d g e n u i t y *Cough*
Sorry I think I am coming down with something...
*Cough* It's right *Cough*
Please give me brainliest!!
Tell whether the data in the table can be modeled by a linear equation. Explain.
Answer:
Yes, it can.
Step-by-step explanation:
Every time x increments by 1, y increments by 0.2.
The linear equation that satisfies the given data will be y = 0.2x + 1.2.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The table is given below.
x 0 1 2 4
y 1.2 1.4 1.6 2
The line is passing through (0, 1.2). Then the value of 'c' will be
1.2 = m * 0 + c
c = 1.2
The line is also passing through (4, 2). Then the value of 'm' will be
2 = 4m + 1.2
m = 0.2
The linear equation that satisfies the given data will be y = 0.2x + 1.2.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ3
please help it’s due today
What is the equation of the line in point-slope form that passes through the point (7,-4) and has a slope of 1/2 ?
a. y+ 7 = 1/2 (x – 4)
b.y-7= 1/2 (x + 4)
c.y - 4 = 1/2 (x + 7)
d.y+4 = 1/2(x - 7)
Answer:
d. [tex]y+4=\frac{1}{2}(x-7)[/tex]
Step-by-step explanation:
Here m=1/2 and (x1, y1)=(7, -4)
Equation of line in point slope form is given as
[tex]y-y_1=m(x-x_1)[/tex]
Therefore
[tex]y+4=\frac{1}{2}(x-7)[/tex]
6x - 12 y = 24
-X-6y=4
Answer:
x=2
y=-1
Use the system of equations to solve for it
PLEASE ANSWER ASAP TY
In triangle ABC below, BD is the altitude. Find the length of DC. Leave your answer in
simplified radical form.
Answer:
Step-by-step explanation:
Step 1: Find AB Use Pythagoras Theorem
AB = [tex]\sqrt{AC^{2} -BC^{2} } = \sqrt{12^{2} -8^{2} } = \sqrt{80}[/tex]
Step 2: Find the Area of the triangle ABC
Area = [tex]\frac{1}{2}AB.BC = \frac{1}{2}\sqrt{80}.8 = 4\sqrt{80}[/tex] = [tex]16\sqrt{5}[/tex]
Step 3: Find BD. Use the area of the triangle above
Area = [tex]\frac{1}{2}BD.AC[/tex]
We already known the Area and AC so, we just plug all the number in
BD = [tex]\frac{2. Area}{AC}[/tex] = [tex]\frac{2.16\sqrt{5}}{12}[/tex] = [tex]\frac{8\sqrt{5}}{3}[/tex]
Step 4: Find DC. Use Pythagoras Theorem of the triangle BDC
DC = [tex]\sqrt{BC^{2}-BD^{2} }[/tex] = [tex]\sqrt{8^{2}-(\frac{8\sqrt{5}}{3})^{2}}[/tex] = [tex]\frac{16}{3}[/tex]
is 3 1/4 a rational number
Answer: Yes the mixed 3 1/4 is a rational number.
Step-by-step explanation:
70 points!!! Which of the following is an arithmetic sequence with common difference –5?
A. 5, 25, 125, 626, ...
B. 5, -25, 125, -625 ...
C. 8, 3, -2, -7 ...
D. 0, 5, 10, 15 ...
Answer:
c
Step-by-step explanation:
This is c because the numbers in c are moving down by -5.
Answer:
I would say b
Step-by-step explanation:
-5 times 5 is -25
-5 times -25 is 125 ect
please help !!!
A toddler slides down a slide that is 8 feet long that makes an angle of 24 with the ground. How high is the slide ?
9514 1404 393
Answer:
about 3.25 feet
Step-by-step explanation:
The relevant trig relationship is ...
Sin = Opposite/Hypotenuse
sin(24°) = height/(8 ft)
height = (8 ft)sin(24°) ≈ 3.254 ft
The slide is about 3.25 feet high.
Determine the intercepts of the line.
Answer:
Y-intercept: (0, 0.4)
X-intercepts: (0.3, 0)
Answer:
The y-intercept is (0, 0.4), and the x-intercept is (0.3, 0)
Step-by-step explanation:
To find the intercepts of the line, you need to see what points lie on the x and y-axis.
Kim drives 156 miles from rotherham to london she drives at an average speed of 60 miles per hour she leaves rotherham at 7:30 am does she arrive before 10:00 am?
Given :
Kim drives 156 miles from rother ham to London she drives at an average speed of 60 miles per hour she leaves rother ham at 7:30 am .
To Find :
Can she arrive before 10:00 am.
Solution :
Time taken to cover 156 miles with speed of 60 miles per hour.
[tex]t= \dfrac{Distance}{Time\ taken}\\\\t = \dfrac{156}{60}\ hour\\\\t = 2.6\ hours[/tex]
To arrive before 10:00 am she has only 2.5 left.
But time taken is 2.6 hours which is greater than 2.5 hours.
Therefore, Kim cannot arrive there before 10:00 am.
Answer:
10am
Step-by-step explanation:
Characterize the slope of the line in the graph,
A. Positive
B. Negative
C. Zero
D. Undefined
What is the approximate area of the circle shown below?
A. 251 in
B. 5027 in 2
C. 126 in2
D. 20,106 in?
Answer:
B. 5027 in²Step-by-step explanation:
Area of a circle = π r²
where r = 80/2 = 40 in
plugin value of r=40in into the formula:
Area of a circle = π r²
= π (40)²
= 5027 in²
Karl drove 612.9 miles. For each gallon of gas, the car can travel 41 miles. What is a reasonable estimate of the number of gallons of gas Karl used? Select all that apply.
A 1.4 gallons
B 15 gallons
C 14 gallons
D 1.5 gallons
E 140 gallons
Answer:
B. 15 gallons
Step-by-step explanation:
We don't need an exact answer, so we estimate
To do this, we round
41 is a tens number, so I'm going to round to the nearest 10
40
612.9 is a hundreds number, so I'm rounding to the nearest hundred
600
for EACH gallon, the car drives(roughly) 40 miles. If I have driven(roughly) 600 miles, that means I have used 600/40=15 gallons
-5x + 20 <5
I need help!
Answer:
Step-by-step explanation:
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Answer:
x>3
Step-by-step explanation:
-5x+20<5 (move the constant to the right)
-5x<5-20 (calculate)
-5x<-15 (divide both sides)
solution: x>3
hope this helps!
Please show the work
Answer:
[tex]A.f(x) = x^{2} -2x - 15[/tex]
Step-by-step explanation:
Based on the given information, one can write the quadratic equation in factored form. Since the zeros of the equation are the roots, one can say that;
[tex]y = ( x + 3 )( x - 5)[/tex]
(where x = -3, and x = 5 are the roots)
Now all one has to do is distribute to find the quadratic equation in standard form;
[tex]y = (x + 3) (x - 5)\\y = x^{2} +3x - 5x - 15\\y = x^{2} -2x - 15[/tex]
The price of a math book after a discount of 25% is $45, find the original price of the book.
Answer:
Step-by-step explanation:
let original price be x
x=45/(1-25/100)= 45/(1-0.25)=45/.75=60
x=60
Answer:
25 percent off 45.00 is 33.75. The difference is 11.25. Hope that helps :)
Step-by-step explanation:
What goes on the lines I don’t understand the problem
Answer:
Step-by-step explanation:
a). Let the number of spoons = x
And number of forks = y
Total number of spoons and forks bought by Perry = 10
x + y = 10 --------(1)
Cost of one spoon = $5
Cost of one fork = $3
Therefore, total cost of x spoons and y forks = $(5x + 3y)
5x + 3y = 42 -------(2)
b). Now we can convert these equations into the slope-intercept form.
x + y = 10 ⇒ y = -x + 10
Table for input output values,
x 2 4 6
y 8 6 4
5x + 3y = 42
3y = -5x + 42
y = [tex]-\frac{5}{3}x+14[/tex]
x 0 3 6
y 14 9 4
Point of intersection of these lines will be (6, 4).
Which expression is equivalent to x^5 • x^2?
x^3
x^7
x^10
(x + x)^7
Answer: x^7
Step-by-step explanation: x5*x2
=(x*x*x*x*x)*(x*x)
=x*x*x*x*x*x*x
=x7
Jeremy mowed several lawns to earn money. After he paid $17 for gas, he had $75 leftover. How much did he earn?
Answer:
75 + 17 = 92
Step-by-step explanation:
can you guys help me find the domain? (finding the domain graphically)
Answer:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Step-by-step explanation:
Hope this helps i would give answer but i dont know what the answer is so sorry but hope this helps you.