Answer:
[tex]x - 2y = -10[/tex]
Step-by-step explanation:
1) Use the point-slope formula [tex]y-y_1 = m(x-x_1)[/tex] to write the equation of the line in point-slope form with the given information. From there, we can convert it to standard form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.
Since [tex]m[/tex], or the slope, is equal to [tex]\frac{1}{2}[/tex], substitute [tex]\frac{1}{2}[/tex] for [tex]m[/tex] in the formula. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (6,8) into the formula as well. This gives the following equation:
[tex]y-8 = \frac{1}{2} (x-6)[/tex]
2) Now, convert the equation above into standard form, represented by the equation [tex]Ax + Bx = C[/tex]. Expand the right side, move the terms with the variables to the left side, then move the constants to the right side. Make sure that [tex]A[/tex] isn't negative and all the terms are integers and relatively prime.
[tex]y-8=\frac{1}{2}(x-6)\\y-8 = \frac{1}{2} x-3\\-\frac{1}{2} x+y -8=-3\\-\frac{1}{2} x+y=5\\x -2y = -10[/tex]
So, the answer is [tex]x - 2y = -10[/tex].
In order to estimate the mean amount of time computer users spend on the internet each month, how many computer users must be surveyed in order to be 95% confident that your sample mean is within 11 minutes of the population mean? Assume that the standard deviation of the population of monthly time spent on the internet is 202 min. The minimum sample size required is_______computer users. (Round UP to the nearest whole number.)
Answer:
1568
Step-by-step explanation:
The computation of the minimum sample size is shown below:
Given that
Error E = 11
The population standard deviation [tex]\sigma[/tex] =217
Confidence level 1-α = 95%
Now following formula should be used
n > (Zalpha ÷ 2 × sigma ÷ E)^2
As we know that
Zalpha ÷ 2= 1.96
Now the sample size is
n> (1.96 × 202 ÷ 10)^2
= 1568
3. The rectangle below has an area of 297 in. Find the length of the diagonal.
14
27 in.
odhad.
9514 1404 393
Answer:
29.15 in
Step-by-step explanation:
The area of a rectangle is given by the formula ...
A = LW
Filling in the given information, we can find the missing side length.
297 in² = (27 in)h
h = (297 in²)/(27 in) = 11 in
The length of the diagonal can be found from the Pythagorean theorem.
d² = 27² + 11² = 729 +121 = 850
d = √850 = 5√34 ≈ 29.15476
The length of the diagonal is about 29.15 inches.
HURRY FAST LOOK AT THE PHOTO TRUE OR FALSE
Between 2002 and 2012 the population of the town Astopia fell by 4%.
If the population in 2012 was 252,960 find the population of the town in 2002.
Answer:
https://studyandanswers.com/mathematics/question18362805#
Step-by-step explanation:
A hotel manager recorded the percentage of rooms that were occupied each day over a period of 25 days. The data she collected is shown on the graph.
The manager recognizes that the data approximates a transformation of the parent sine function, .
Which value is closest to the amplitude of the transformed function?
Answer:
D. 15
Step-by-step explanation:
I just took the test lol
The amplitude of the function is 15 if the data approximates a transformation of the parent sine function option (D) is correct.
What is sin function?It is defined as the function which is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a] where is a amplitude of the function.
We have hotel manager recorded the percentage of rooms that were occupied each day over a period of 25 days.
As we can see in the graph, it is sin graph and the maximum value it attends is 15(=70-55)
And the minimum value is attends is -15(=40-55)
The graph will be:
y = 15sinx
a = 15
Thus, the amplitude of the function is 15 if the data approximates a transformation of the parent sine function option (D) is correct.
Learn more about the sin function here:
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Please find the answer
Answer:
it's 6.2
Step-by-step explanation:
6.2 is the only number that shows up more than once.
(2/5)^3=
anybody help???
Answer:
8/ 125
Step-by-step explanation:
8/ 125
Answer:
8/125
Step-by-step explanation:
I think. you can use the app photo math
a home mortgage for a home that costs $672096 with a 4% interest rate for 24 years. How much is the monthly payment for the mortgage with the interest?
9514 1404 393
Answer:
$3633.96
Step-by-step explanation:
The monthly payment is given by the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^(-12t))
monthly payment for principal P at annual rate r for t years.
A = $672096(0.04/12)/(1 -(1 +0.04/12)^(-12·24)) = $3633.96
The monthly payment for the mortgage is $3633.96.
Steve earns $6.50 an hour. He worked 25 hours in the previous 1-week pay period. If Steve's employer withholds 10% of each of Steve's paychecks to pay Steve's income tax, how much will Steve take home in this week's paycheck?
Answer:
$146.25
Step-by-step explanation:
$6.50 per hour
for 25 hours = 25 × 6.50 = $162.5
10% of 162.5
162.5 × 10 ÷ 100
= 16.25
his week paycheck
162.5 - 16.25
= $146.25
Answer:
146.25$ is the a answer for sure
Evaluate the discriminant.
Exact answer (no rounding)
0= -4x – 24x – 38
4 Does the equation y = x represent a function? Explain why or why not.
Answer:
y=x is a function!
Step-by-step explanation:
The reason it is a function is because it can create a:
A slope
A why y and x intercept
and a graph
Remember that x=1 and Y=1 ALWAYS
195 Ibs to kilograms
Answer:
88.4505 kilograms
Step-by-step explanation:
3/25 converted to a decimal
Answer:
.12
Step-by-step explanation:
First set up your proportion.
[tex] \frac{3}{25} = \frac{12}{100} [/tex]Multiply 3 and 25 by 4 to get 12 and 100.
the answer would be 12 hundredths or .12
Brainliest for correct answer, any inapplicable answer or absurd answer will be deleted and reported.
Answer:
The order is 4, 3, 2, 1.
Step-by-step explanation:
I remember isosceles triangles with the two eyes rule - because eye & the “i” in isosceles sound the same, you have two eyes and two sides, lol. just a cute little memory trick. acute angles are smaller than 90 degrees, so that explains the next one. equilateral means the same sides, and equiangular means the same angles (60 degrees each in a triangle!) hope this is helpful & accurate!
Susie says that it she has a quick way to determine the least common multiple of two numbers; you just multiply the numbers. Susie checked it with 3 and 5 and with 4 and 7 and method worked both times. Is Susie’s method a valid way to determine the least common multiple of two counting numbers? Explain.
Answer:
No, it is not a valid way
Step-by-step explanation:
Required
Is Susie's method valid?
Susie's method worked because 4 & 7 and 3 & 5 do not have a common factor.
In other words, Susie's method will not work when the two numbers have a common factor.
Take for instance, the LCM of 2 and 4.
Using Susie's method, the LCM will be 8 (i.e. 2 * 4) whereas the LCM is 4.
From the previous video: At age 40 you deposit $150 at the end of each month into an IRA that pays 4% interest
compounded monthly. In the previous question, we found that the value of the annuity at age 65 would be $77,119.43.
How much interest did you earn?
Round your answer to the nearest cent and do NOT include the dollar sign.
Do NOT round until you have calculated the final answer.
Answer: 32119.43
Step-by-step explanation:
Answer:
Step-by-step explanation:
74059.64
Another one plssssssssssssssssss
Answer:
3
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
I beleive it is -1 but I could be wrong. Let me know if it is and I will try and correct it
help please grade 8 20 points and i need it
Answer
1) (4,6)
2) (5,5)
3) (2,6)
Step-by-step explanation:
Help me out
Answer required
Answer:
a) True
b) False
c) True
d) False
e) True
f) False
g) True
h) False
i) True
j) False
plz mark me as brainliest
Complete the table, for the following investments, which shows the performance (interest and balance) over a 5-year period.
Suzanne deposits $4000 in an account that earns simple interest at an annual rate of 2%. Derek deposits $4000 in an account that earns compound interest at an annual rate of 2% and is compounded annually.
Answer:
After 5 years of investment, Suzanne will have $ 4,400 in her account, while Derek will have $ 4,416.32 in his account.
Step-by-step explanation:
Since Suzanne deposits $ 4000 in an account that earns simple interest at an annual rate of 2%, and Derek deposits $ 4000 in an account that earns compound interest at an annual rate of 2% and is compounded annually., Both for a period of 5 years, to determine how much money each one will have in their account after 5 years, the following calculation must be made:
Suzanne:
((4,000 x 0.02) x 5) + 4,000 = X
(80 x 5) + 4,000 = X
400 + 4,000 = X
4,400 = X
Derek:
4,000 x (1 + 0.02 / 1) ^ 5x1 = X
4,000 x 1.02 ^ 5 = X
4,416.32 = X
Thus, after 5 years of investment, Suzanne will have $ 4,400 in her account, while Derek will have $ 4,416.32 in her account.
The length of a rectangle is 4 inches longer than its width. The area of the rectangle is 32 inches square. What is the width ? The width is ___ inches
Answer:
I hope this helps dear
Step-by-step explanation:
P = 2(L + W) = 32 in
L = W + 4
2[(W + 4) + W] = 32 in ⇒
W = 6 in
L = W + 4 = (6 + 4) in = 10 in
A = LW = (10)(6) in2 = 60 in2
How much are your fixed expenses for the month?
Monthly Expenses
Mortgage
$897.00/month
Clothing
$96.00/month
Food-restaurants
$56.00/week
Telephone
$33.95/month
A. $1,082.95
B. $1,250.95
OC. $1,154.95
Answer:
The correct answer is B. $1,250.95.
Step-by-step explanation:
Given that I have monthly mortgage expenses for $ 897.00 / month, clothing for $ 96.00 / month, food and restaurants for $ 56.00 / week, and telephone for $ 33.95 / month, to determine how much are my fixed expenses for the month, the following calculation must be performed:
897 + 96 + (56 x 4) + 33.95 = X
897 + 96 + 224 + 33.95 = X
1,250.95 = X
So, my fixed expenses for the month are $ 1,250.95.
Answer:
$930.95
Step-by-step explanation:
just took the test
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answer:
x=15
Angle (5x+6): 81
Angle (8x-39): 81
Step-by-step explanation:
5x+6=8x-39
add 39 to both sides
5x+45=8x
-5x on both sides
45=3x
divide both sides by 3
x=15
find sin(b) in the triangle
Answer:
We need the triangle, please
Explanation:
Can't find anything about a triangle without the triangle
Answer:
0
Step-by-step explanation:
Sin(undefined) reports 0.
If the value is not undefined, please provide the triangle.
URGENT WILL GIVE BRAINLIEST!!!!
Answer:
7/10
Step-by-step explanation:
Answer:
7/10
Step-by-step explanation:
There is a total of ten numbers, and only seven of them are odd numbers (1, 3, 7, 9, 15, 19, 21)
You have a 70% chance of picking an odd number.
Each base in this right prism-like figure is a quarter of a circle with a radius of 2 m.
10 m
2 m
2 m
What is the volume of the figure?
Give an exact answer in terms of pi.
Answer:
Volume of the figure = 10π cubic meters
Step-by-step explanation:
Volume of the right prism like figure = Area of the base × Height
Area of the base of the prism = [tex]\frac{1}{4}(\pi r^{2})[/tex]
= [tex]\frac{1}{4}(\pi)(2)^2[/tex]
= π m²
Height of the prism = 10 m
Volume of the prism given in picture = π × 10
= 10π cubic meters
Answer: 10π
Step-by-step explanation:
Please answer this teachers
Answer: What are the options?
What are the options?
Step-by-step explanation:
An online furniture store sells chairs for $150 each and tables for $450 each. Every day, the store can ship a maximum of 16 pieces of furniture and must sell at least $3900 worth of chairs and tables. If xx represents the number of tables sold and yy represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
Required inequalities:
x + y ≤ 16150x + 450y ≥ 3900The graph is attached.
The darker triangle is the solution region.
The solution examples:
(1, 15), (4,12), (5, 10), (11, 5)The first number is chairs, the second number is tablesI don't understand this, I really need help!!!!!! quickly
Answer:
2923.34
Step-by-step explanation:
π×r²×h
3.14 ×7 ²×19 2923.34
2923.34
Step-by-step explanation:
the formula for the volume of a cylinder is V = 3.14 × radius squared × h. So 3.14 × 49 × 19 which equals 2924.82
A spider is trying to climb a wall that is 15 metres high. In each hour, it climbs up 3 metres, but falls back 2 metres. In how many hours will it reach the top of the wall?
The spider needs 15 hours to climb up the top of the wall.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
A spider is trying to climb a wall of height = 15 meters
In each hour, it climbs up 3 meters but falls back 2 meters,
⇒ [tex]+3-2=1[/tex]
Thus spider climbs 1 meter per hour.
For 15 meter wall, the spider needs 15 hours to climb up the wall.
Hence we can conclude that the spider needs 15 hours to climb up the top of the wall.
Learn more about word problems here
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