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
Model a desert community where 48% of the area is covered with houses. Place houses on of the 100 squares to represent or 48% houses.
Answer:
100
Step-by-step explanation:
Answer:
Place houses on
48
of the 100 squares to
represent
48/100
or 48% houses.
I thought of a two-digit number. The unit digit of my number is 7 more than the tens digit cubed. What is my number?
Answer:
18
Step-by-step explanation:
The tens digit a is cubed (a³ ) still less than the biggest possible 1 -digit number . It can be only 0 or 1 , so even 2³ =8 ( in such case the unit digit is 15,- that's not possible) .
0 can not be the the first digit in 2 digit number. So the only possible tens digit is 1. So the unit number is 1+7=8.
Answer 18
Answer:
18
Step-by-step explanation:
u/5 =13/7 solve for u
Answer:
u = 65/7
Step-by-step explanation:
u/5 = 13/7
Using the cross product
7u = 5*13
7u = 65
Divide each side by 7
7u/7 = 65/7
u = 65/7
Question:
7x^2 + 8x = x^2
Answer:
x1= -4/3 and x2= 0
Step-by-step explanation:
Evaluate the expresions -8-14÷2+5
Answer:
-10
Step-by-step explanation:
Answer:
-10
Step-by-step explanation:
Suppose that a rectangular picture is surrounded by a frame of uniform width of x
inches as depicted below. The dimensions of the picture are 8 inches (width) by
10 inches (length). Find a simplified expression that represents the area of the
picture and frame.
Type your simplified answer for the area of the picture and frame along with your
work in the box below. To receive any partial credit, you must include all your work.
Answer:
Ok so the area of the frame is 18*12 = 216cm^2
Let’s suppose the width of the frame is x
The total area (painting and frame) is (2x+18)(2x+12) and this is equal to 432
4x^2 + 60x + 216 = 432
4x^2 + 60x - 216 = 0
x^2 + 15x - 54 = 0
(x+18)(x-3) = 0
Therefore x = {-18,3}
Since width of the frame has to be positive, the width has to be 3cm Step-
i hope i helped!
Hanna lost 4 points on a test and earned 4 points on an extra-credit question
Answer:
the total points earned and lose cancel eachother out to be 0. she did not lose any points
Answer:
the total points earned and lose cancel eachother out to be 0. she did not lose any points
Step-by-step explanation:
The sweet shoppe sells a half dozen cupcake for $16.50. The cupcake factory sells a dozen cupcake for $30.00. Jameska purchases two cupcake from each shop what is the different in the purchases
Answer:
1.50 is the answer
Step-by-step explanation:
yeah I had it on a question yw
Answer:
eggffdf
Step-by-step explanation:
sfdsffgfddfdkkhsdghskjgfhjgdfjhdgdhdsdfh
It takes Daphne 25 minutes to assemble a model plane. During her work
minutes for lunch and one 15 minute break. Which inequality could Daphne use to determine the number
of model planes, p, she can assemble in her 8 hour work day?
A. 25p – 45 > 8
B. 25p + 45 2 8
C. 25p – 45 < 480
D. 25p + 45 < 480
Answer: 25p+45>= 8
Step-by-step explanation:
10 Given a || b. Find the value of z that makes ; || k.
Turned in
+27)
id document
(4:+3y)
N
submit
57
**/y+ :)
z=228
z=11.25
2 = 17.25
2= 48
maybe try quizzlet that would really help i swear
Delisa Corporation has two divisions: Division L and Division Q. Data from the most recent month appear below:
Total Company Division L Division Q
Sales $ 577,000 $ 158,000 $ 419,000
Variable expenses 347,300 104,280 243,020
Contribution margin 229,700 53,720 175,980
Traceable fixed expenses 124,110 38,710 85,400
Segment margin 105,590 $ 15,010 $ 90,580
Common fixed expenses 70,310
Net operating income $ 35,280
The break-even in sales dollars for Division Q is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$318,530
$203,333
$268,466
$459,400
Answer:
$203,333
Step-by-step explanation:
Computation for the break-even in sales dollars for Division Q
First step is to compute the Segment Contribution Margin ratio
Using this formula
Segment Contribution Margin ratio = Segment contribution margin ÷ Segment sales
Let plug in the formula
Segment Contribution Margin ratio= $ 175,980÷ $ 419,000
Segment Contribution Margin ratio= 0.42
Last step is to find the break-even in sales dollars for Division Q using this formula
Break-even in sales dollars = Segment traceable fixed expenses ÷ Segment Contribution Margin ratio
Let plug in the formula
Break-even in sales dollars= $85,400÷ 0.42
Break-even in sales dollars=$203,333
Therefore the break-even in sales dollars for Division Q is $203,333
Which of the following lists of ordered pairs is a function?
(-1, 2), (2, 3), (3, 1), (2, 5)
(1, 2), (4, 0), (3, 5), (4, 3)
(2, 5), (3, 6), (6, 9)
(2, 5), (3, 6), (2, 1)
Answer:
[tex](2,5), (3,6), (6,9)[/tex]
Step-by-step explanation:
Because the abscissa does not repeat with different ordinate (well, there's actually no repeating abscissa)
Answer:c
Step-by-step explanation:
In Evans history class, 10 out of 100 key terms will be randomly selected to appear on the final exam; Evan must then choose 7 of those 10 to define. Since he knows the format of the exam in advance, Evan is trying to decide how many key terms he should study. (a) Suppose that Evan decides to study s key terms, where s is an integer between 0 and 100. Let X be the number of key terms appearing on the exam that he has studied. What is the distribution of X? Give the name and parameters, in terms of s. (b) Calculate the probability that Evan knows at least 7 of the 10 key terms that appear on the exam, assuming that he studies s = 75 key term
Answer:
(a) Hypergeometric distribution
(b) 0.785384...
Step-by-step explanation:
(a) looking at the question, we see that [tex]X = \in \{0, ... , 10 \}[/tex], suppose Evans studied s key terms, this implies that he has not studied 100 - s key terms. Suppose [tex]k = \in \{0, ... , 10 \}[/tex] if X = k, then k out of the s key terms he had studied appeared. But 10 - k out of 100 - s key terms he hasn't studied appeared. Thus X is an Hypergeometric distribution, X~HGeom(s, 100 - s, 10) with PMF:
[tex]P_{x}(k) = P(X = k)[/tex]
Its late and i need this pls
Gretchen made a paper cone to hold a gift for a friend. The paper cone was 11 inches high and had a radius of 4 inches. Find the volume of the paper cone to the nearest tenth. Use 3.14 for π.
The volume is ___in^3
Answer:
184.2 in^3
Step-by-step explanation:
vol of cone=
[tex]\pi {r}^{2} \frac{h}{3} [/tex]
[tex]3.14 \times 16 \times \frac{11}{3} [/tex]
=184.2
What is the minimum possible value of this decimal? Use words, pictures, or numbers to explain your reasoning.
Answer:
if 2.4 is there it will become -2. 4
Adam’s weight to the nearest kilogram is 65 kg what is the greatest possible value of his weight
Answer:
65kg=143.30047 pounds and 1kg=2.20462262 pounds
When graphing a polynomial function, what determines what the graph will look like at the far left side? Explain your answer.
Answer:
2
Step-by-step explanation:
this will help i think this will be the answer i am not sure
What place value is the 5 in the following number, 123.465? earn 100 points!!!
Answer:
it will be in the thousands place for sure
Step-by-step explanation:
hope that helps =) i forgot there were a decimal point
Answer:
The place value of 5 in "123.465" is the thousandths
Step-by-step explanation:
The reason for this is because the "5" is 3 points behind the decimal, making it in the thousanths place.
Can only polygons be rotated
Answer: no
hope this helps!!!!!!! lol i suck
The angles on an original drawing must be multiplied by the scale factor to find the angles on a scale copy.
O True
O False
Toby works at an amusement park. He loads 10 new passengers onto the roller coaster every
3/4
of a minute. At what rate does Toby load passengers?
Pleaseeee
Answer:
13 1/3
Step-by-step explanation:
im sure this is right btw
B^2 + 11b + 18 ( Factor the question)
Help please!
Answer:
=b^2+(9+2)b+18
=b^2+9b+2b+18
=b(b+9)+2(b+9)
=(b+9)(b+2)
Find the rate of increase:
Original amount: $2000
Final amount: $3000
Answer:
21
Step-by-step explanation:
Answer:
67%
Step-by-step explanation:
the original amount had to increase by 67% in order to equal the final about simply by dividing 2000 by 3000 getting 2/3 which is 0.666667 then multiplying by 100 to get a rate
Given f(x)=18x +8, find x when f(x) =14
Answer:
x=1/2 or x=0.5
Step-by-step explanation:
14=18x+8 so 18x =6 so x=1/2
Answer:
x = 1/3
Step-by-step explanation:
14 = 18x + 8
Subtract 8 from both sides.
6 = 18x
Divide both sides by 18.
6/18 = x
Simplify.
1/3 = x
PLEASE WRITE THE EQUATION THAT IS WHAT IT IS ASKING!! THE EQUATION IS IN SLOPE INTERCEPT FORM!!
Answer:
y = -3x-5
Step-by-step explanation:
natalie budgets $150 for yoga training but doesn’t want to spend all of that money. She buys a yoga mat for $10 and spends $9 per day on yoga classes. Which inequality represents the number of day,d, that Natalie can take classes and stay under (less than) her budget?
Answer:
A
Step-by-step explanation:
Answer:
A) I hope I helped you ◉‿◉
please help 25 point asap
Answer:
B
Step-by-step explanation:
Answer:
b) B,A,C
Step-by-step explanation:
I need help the instructions say go left to right
For this question What is 4f-9-f+15
Answer:
3f+6
Step-by-step explanation:
To solve this, we combine like terms which are in this case 4f and f. 4f-9-f+15 is (4f-f)+(-9+15), which we simplify to 3f+6.
Radio blackouts are among the most common space weather events to affect Earth. Minor radio blackouts occur, on average, twice per year. Use a Poisson process to model the phenomenon. (a) Given that 3 events have occurred in the first half of the year, what is that probability that 3 events will happen in the rest of the year? (b) How many radio blackouts do you expect to see in two years? (c) Starting from now, how long must we wait so that the probability of seeing the next radio blackout is at least 0.5? (d) Find the probability that the time to the 4th blackout is at most 2 years.
Answer:
a. P(x = 3) = 0.061313
b. The expected number of radio blackouts = 4
c. It is not possible to determine the next radio blackout
d. P(x = 4) = 0.19537
Step-by-step explanation:
From the given information:
Using a Poisson process to model the phenomenon:
Since minor radio blackouts occur, on average, twice per year.
Then:
[tex]\lambda = 2 \ years[/tex]
From question (a)
time t = 1/2 (i.e half of the year)
Let x be the random variable that denotes the probability that 3 events will happen in the rest of the year.
Then:
[tex]P(x = 3) = \dfrac{e^{-\lambda t} \times (\lambda t)^x}{x!}[/tex]
[tex]P(x = 3) = \dfrac{e^{-2* 0.5} \times (2 * 0.5)^3}{3!}[/tex]
P(x = 3) = 0.061313
b).
The number of radio blackouts we expect to see in two years can be estimated as follows:
we know that:
t = 2 years
E(x) = λ × t
E(x) = 2 × 2
E(x) = 4
The expected number of radio blackouts = 4
c).
The amount of time we need to wait given that the probability of seeing the next radio blackout is at least 0.5 is as follows:
Here, the time (t) = ???
Thus:
P(x =1) = 0.5
[tex]P(x = 1) = \dfrac{e^{-\lambda t} \times (\lambda t)^x}{x!} = 0.5[/tex]
[tex]\dfrac{e^{-\lambda t} \times (\lambda t)^x}{x!} = 0.5[/tex]
Thus, it is not possible to determine the probability (50%) of seeing the next radio blackout.
d)
The probability that the time to the 4th blackout is at most 2 years can be computed as follows:
Here;
x =4 , t = 2
Thus:
[tex]P(x = 4) = \dfrac{e^{-4 } \times (4)^4}{4!}[/tex]
P(x = 4) = 0.19537