8.) A line passes through the points (k, 4) and (3, -6). The line is perpendicular to
the graph of 5y + 4x = 8. What is the value of k?
Answer:
K = 43
Step-by-step explanation:
We'll begin by determining the gradient of the equation 5y + 4x = 8. This can be obtained as follow:
5y + 4x = 8
Rearrange
5y = 8 – 4x
5y = –4x + 8
Comparing 5y = –4x + 8 with y = mx + c, the gradient m is –4
Next, we shall determine the gradient of the line perpendicular to the line with equation 5y = 8 – 4x.
This can be obtained as follow:
For perpendicular lines, their gradient is given by:
m1 × m2 = – 1
With the above formula, we can obtain the gradient of the line as follow:
m1 × m2 = – 1
m1 = –4
–4 × m2 = – 1
Divide both side by –4
m2 = –1/–4
m2 = 1/4
Finally, we shall determine the value of k as follow:
Coordinate => (k, 4) and (3, –6)
x1 coordinate = k
y1 coordinate = 4
x2 coordinate = 3
y2 coordinate = –6
Gradient (m) = 1/4
m = (y2 – y1) / (x2 – x1)
1/4 = (–6 – 4) / (3 – K)
1/4 = –10 /(3 – K)
Cross multiply
3 – K = 4 × –10
3 – K = –40
Collect like terms
– K = – 40 –3
–k = –43
Divide both side by – 1
K = –43/–1
k = 43
Katrina bought a pair of jeans for $39.29 and a sweater for $46.54. She received $14.17 in change. How much money did Katrina have originally?
Answer:
cool 100
Step-by-step explanation:
just add them all together since its saying that she got change back and it's saying what she paid.
Pls answer quick and right
7) Order the numbers from least to greatest.
A. 6.66
B. 6.07
C. 7
D. 6.32
the Answear is B,D,A,C
write an equivalent fraction of 4/5 with the denominater 25
Answer:
20/25
Step-by-step explanation:
to get to a dinominator of 25, we have to multiply 5 by 5. so then we do 4 x 5 so now it is 20/25
A survey of 800 school employees yielded the following information: 430 were instructors, 589 were full-time faculty, and 340 of the instructors were full-time faculty. How many school employees were full-time faculty but were not instructors
Answer:
249Step-by-step explanation:
let n(U) be the total number of school employees = 800
Let n(I) be amount of instructors = 430
Let (F) be full-time faculty = 589
Let n(InF) be the instructors who were full-time faculty = 340
The number of employees who were full-time faculty but were not instructors is expressed as:
n(FnI') = n(F) - n(InF)
n(FnI') = 589 - 340
n(FnI') = 249
Hence the number of school employees who were full-time faculty but were not instructors are 249
For a biology project, you measure the weight in grams and the tail length in millimeters of a group of mice. The correlation is r = 0.52. If you had measured tail length in centimeters instead of millimeters, what would be the correlation?
Answer:
The correlation coefficient is r = 0.52
Step-by-step explanation:
From the question we are told that
The correlation coefficient is r = 0.52
Generally correlation has no unit and is not affected by unit (i.e it show the ratio between two quantities )
Hence a change of the unit of measurement of length from cm to mm will not affect the correlation coefficient r hence the value will still remain r = 0.52
Answer:
Step-by-step explanation:
ACB = DCE
A=63
C=52
E=5x
what is X = ?
Answer: x=13
Step-by-step explanation:
Find the value of x.
Answer:
Its 9
Step-b(y-step explanation:
Can you make me brainlist??
Answer:
The answer is B just took the test!
Which number has a repeating decimal form?
A. sqrt\15
B. 11/25
C. 3/20
D. 2/6
Answer:
answer d 2/6
which is 1/3 =0.333333333
Answer:
2/6
Step-by-step explanation:
An advertisement in a magazine has a width of 80 mm and a height of 125 mm. Find
the units for the perimeter of the rectangle defined by this advertisement.
Answer:
perimeter calculator online
Step-by-step explanation:
A trigonometric function with no asymptotes oscillates between the values of y equals negative 4 and y = 0. Two consecutive zeroes are located at approximate x-values of 3.48 and 7.66. Which of the following best represents the equation of the trigonometric function?
Answer:
C. f(x)=2sin(-1.5x+0.5)-2
Write the equation the graph pictured below:
Answer:
It would be the first one (y-2=1/3(x-2))
Step-by-step explanation:
The first one is the same function as y=x(1/3)+(1+1/3) which is the same function as the photo.
translation: 4 units left and 4 units up
J(−1, −2), A(−1, 0), N(3, −3)
Answer:
J(-5,2), A(-5,4), and N(-1,1)
Step-by-step explanation:
When converted to millimeters, the distance meters is expressed as
nothing millimeters in scientific notation.
Answer:
meters must be converted into millimeters.
Step-by-step explanation:
Real Estate Agent:
A woman bought 4 lots for $48,000 each. She then subdivided
them into a total of 7 lots that sold for $33,000 each. What was
her percent of profit? I
Savings and Loan Counselor:
A customer wishes to borrow $30,000, make monthly payments
of interest only, and pay the full amount of the principal at the
end of the term. If the interest rate is 12% annually, what are the
monthly payments for a five-year term?
Step-by-step explanation:
A.
Cost of 4 lots for $48,000= 48000*4
=$192,000
Sales made from all 7 lots = 33000*7
= $213,000
Profit =213,000-192,000
Profit =$39,000
Percent profit =(39000/192000) *100
=0.20*100
=20%
B.
Total interest formula=
Principal Loan Amount x Interest Rate x Time
Interest =30000x0.12x5
Interest = $18,000
Monthly payments for 5 years
= 18000/12*5
=18000/60
=$300
At MLK Middle School, enrollment increased from 320 students in 2019 to 750 students in 2020 after the pandemic. What is the percent increase in enrollment?
Answer:
134.3%
Step-by-step explanation:
Working out a percentage increase or decrease between the two numbers is pretty simple. The resulting number (the second input) is 750 and what we need to do first is subtract the old number, 320, from it:
750 - 320 = 430
Once we've done that we need to divide the result, 430, by the original number, 320. We do this because we need to compare the difference between the new number and the original:
430/320 = 1.343
We now have our answer in decimal format. How do we get this into percentage format? Multiply 2.3 by 100? Ding ding ding! We have a winner:
1.343 x 100 = 134.3%
let one Yellow tile Equal+1 and one red tile equal -1 6-(-9)
Answer:
wym
Step-by-step explanation:
whats the question
During the first hour of a snowstorm, 1 2/8 inches of snow fell. In the next hour, 4 3/8 inches fell. In the third hour, the snow stopped and 1 inch of snow melted. How much snow was on the ground at the end of the third hour?
Answer:
4 5/8 inches left
Step-by-step explanation:
1+4=5
2/8+3/8=5/8 Same denominator so it stays the same, only need to add the numerators.
5+5/8=5 5/8
5 5/8-1=4 5/8
Here is the improper fraction if you need it:
37/8
Identify the correct list of factors for the number 24.
1, 2, 4, 6, 12, 24
1, 2, 3, 4, 6, 8, 12, 24
1, 2, 4, 7, 12, 24
1, 2, 3, 8, 12, 24
what is the sum a 23 and 4 /4
Answer:
the anwser is 24 please mark brianliest
Answer:
The answer is 24.
20% of the days were sunny. How many days were sunny?
Answer:
73
Step-by-step explanation:
simple math, ez mne.
Answer:
73 days were sunny
Step-by-step explanation:
20% of 365 is 73.
Working simultaneously, eight pumps fill in a pool in 32 hours. All pumps work at the same pace. If only half of the pumps are working, in how many hours will the pool be filled in?
Answer:
64 hours
Step-by-step explanation:
Since there are only half of the pumps that are working the time will double. 32x2 is 64
Answer: 16 hours
Step-by-step explanation
Step 1: Split 8 in half because we are using half the amount of pumps which is 4. Now we know the amount of pumps being used.
Step 2: Next we find the unit rate by dividing 32 and 8 to get 4
Step 3: Lastly we multiply 4x4 because 4 is the amount of pumps being used and the other 4 is the unit rate. Once we multiply we get 16 which is the answer: 16 hours
A television with a 5:3 screen shows an image with a ratio of 5:4 which creates a letter boxed image. What percent of the screen’s area is occupied by the image?
a)
133%
b)
75%
c)
20%
d)
33%
e)
25%
Answer:
C
Step-by-step explanation:
Which ordered pair, if included in this relation, would cause it to no
longer be a function?
Answer:
(-6,3)
Step-by-step explanation:
The cost of 5 gallons of ice cream has a variance of 49 with a mean of 30 dollars during the summer. What is the probability that the sample mean would differ from the true mean by less than 0.6 dollars if a sample of 145 5-gallon pails is randomly selected?
Answer:
0.303 or 30.3%
Step-by-step explanation:
We are given;
Variance; Var = 49
Sample size; n = 145
Standard error from mean; SEM = 0.6
Now, standard deviation is given by the formula;
SD = √Var
SD = √49
SD = 7
Now, the standard error from standard deviation is;
SE = SD/√n
SE = 7/√145
SE = 0.5813
z = Number of standard errors away from the mean = SEM/SE = 0.6/0.5813 = 1.0322
Using online P-value from z-score calculator with the z-score above and an assumed significance level of 0.05, we have;
P-value ≈ 0.303
Probability = 0.303 or 30.3%
24 + 28 as a product of two factors using the GCF and distributive property
Answer:
52
Step-by-step explanation:
Using GCF:
The factors of 24 are; 1, 2, 3, 4, 6, 8, 12, 24
Factors of 28 are; 1, 2, 4, 7, 14, 28
The highest greatest common factor is 4.
Now, 4 × 6 gives 24
While 4 × 7 gives 28.
Thus, our original equation is now;
4(6 + 7)
Using distributive property, let's add the number in the bracket first to get;
4(13).
Now,we multiply out to get 52.
Answer:4(7+6)
Step-by-step explanation: i passed the quiz with an 100%
A car breaks from a speed of 108km/h to 72km/h during a displacement of 100m, what is its aceleration ?
First, note that 100 m = 0.100 km.
Recall that
v² - u² = 2 a ∆x
where u and v are initial and final velocities; a is acceleration; and ∆x is displacement. Solve for a :
(72 km/h)² - (108 km/h)² = 2 a (0.100 km)
a = ((72 km/h)² - (108 km/h)²) / (0.200 km)
a = -32,400 km/h²
If you want to convert this to m/s², we have
(-32,400 km/h²) = (-32,400 km/h²) (1000 m/km) (1/3600 h/s)²
(-32,400 km/h²) = -2.50 m/s²
The sum of four consecutive integers is 2486. Find the biggest of these four consecutive integers.
Answer:
623
Step-by-step explanation:
2486/4 is the middle number = 621.5
Four numbers so the nearest whole numbers are the middle two
620, 621, 622, 623
=623
Is 1.994 greater or lesser than 1.493
Answer:
greater than
Step-by-step explanation:
1.994 is closer to 2 than 1.493 so it is greater!