a) The value of x is 42.6 when k =16/3 is directly proportional to y.
b) The value of x is -56 when k is -7 is directly proportional to y.
What kind of variation is one where x and y are directly proportional?
If x = ky for some constant k can be used to indicate the relationship between the variables y and x, then we may say that y varies directly with y or that x is directly proportional to y.x varies directly as y
x α y
x = ky
a) x=6 ; y = 32
x = ky
6 = k(32)
k = 16/3
if y = 8
then,
x = (16/3) * 8
= 128/3
x = 42.6
Hence, the value of x is 42.6 when k =16/3 is directly proportional to y.
b) x= 14 and y = -2
x = ky
14 = k(-2)
k = -7
if y = 8
then,
x = ky
x= (-7) 8
x = -56
Hence, the value of x is -56 when k is -7 is directly proportional to y.
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I'll add a photo of the problem!
Find the Total Surface Area and volume of the prism below. Round to the nearest hundredth, if necessary.
12 yd
10 yd
12 yd
Total Surface Area =
Tyds squared
yds cubed
Volume =
length l = 12 yd
width w = 10 yd
height h = 12 yd
diagonal d = 19.697715603592 yd
total surface area Stot = 768 yd2
lateral surface area Slat = 528 yd2
top surface area Stop = 120 yd2
bottom surface area Sbot = 120 yd2
volume V = 1440 yd3
One diagonal of square EFGH is shown on the coordinate grid.
G
0
4 5 6
Which of the following statements is correct?
A А. The location of point F could be (1,6) because diagonals of a square are congruent and perpendicular.
B. The location of point F could be (-1, 6) because diagonals of a square are similar and perpendicular.
C. The location of point F could be (-1,6) because diagonals of a square are congruent and perpendicular.
The location of point F could be (1,6) because diagonals of a square are similar and perpendicular.
D.
Answer:
C. The location of point F could be (-1,6) because diagonals of a square are congruent and perpendicular.
Step-by-step explanation:
I took the quiz. I hope this helps :)
Find the measure of x1.
{
83°
41
{
41 = [?]
Answer:
Solution given:
< 1+ 83°= 180 [co- interior angle]
<1=180-83=97°
<1=97° is your answer
if 5 miles= 8 km, convert 40 mules to kilometers
Answer:
64.3738
Step-by-step explanation:
Answer:
64km
Step-by-step explanation:
5miles= 8km
40/5= 8
8x8= 64km
Find l.
10 in.
l
l = [?] ir
1
1
6 in.
Answer:
[tex]l=\sqrt{109}[/tex] in
Step-by-step explanation:
[tex]l^{2} =r^{2} +h^{2} \\\\l^{2} =3^{2} +10^{2} \\\\=90+100\\\\l^{2} =109\\\\l=\sqrt{109}[/tex]
hope it helps....
factoring review 2 terms 1-8
Answer:
ok
Step-by-step explanation:
whats the question?
find the median of the list of data. 12, 18, 21, 25, 30, 43
please answer the following quickly!!!!
Answer:
A could only be 3 or 6
their sum would be 9
Step-by-step explanation:
Solve for x using
cross multiplication.
x 1 = 2x + 4 5
x = [?]
Answer:
x = -7
Step-by-step explanation:
Given:
[tex] \frac{x - 1}{4} = \frac{2x + 4){5} [/tex]
Required:
Find x using cross multiplication
Solution:
Cross multiply
(2x + 4)*4 = (x - 1)*5
8x + 16 = 5x - 5
Collect like terms
8x - 5x = -16 - 5
3x = -21
Divide both sides by 3
x = -21/3
x = -7
A consultant wants to ask workers at a factory about the workers' job satisfaction. Which of the following best describes a stratified sample of workers?
a. The consultant forms groups of workers based on the workers' shifts. Then, he selects workers at random from each group.
b. All of the workers on the second floor of the factory building are easily accessible. So, the consultant selects the first workers from the second floor to arrive at work on a particular day.
c. The consultant forms groups of workers based on the lengths of time the workers have worked at the factory. Then, he randomly chooses groups and selects all of the workers in these groups.
Answer:
A. the consultant forms groups of workers based on the workers' shifts. then, he selects workers at random from each group.
Step-by-step explanation:
Sana nakatulong
Answer:
A
Step-by-step explanation:
Let the graph of g be a reflection in the y-axis, followed by a translation 5 units down of the graph of f(x)=3x√4. Write a rule for g.
Answer: sorry don't know but uhh its 5
Step-by-step explanation:
A store sells 8 cans of for $22. How much would it cost you to buy 3 cans of fruit cocktail? ?
the answer is 8.25 or 8 1/4
you can get this by dividing 22 by 8 to see the price for one can. this gives you 2.75
now you want to know how much 3 cans would cost. we know one can costs 2.75, so we multiply that by 3.
this would give you 8.25 which is your answer
if this was useful please mark brainliest! （>∀<）
Answer:
3 cans of fruit cocktail would cost $8.25
Step-by-step explanation:
[tex] \frac{22}{8} = 2.75[/tex]
2.75*3=8.25
Find the perimeter of trapezoid TRUE.
Which of the following could be the perimeter of the three squares below?
Answer:
I would say B
Step-by-step explanation:
I have done the calculations and my research matches B
XDDD
In ΔPQR, sin P = 0.3, sin R = 0.8 and r = 16. Find the length of p. Please show your work.
Answer:
p = 6Steps:
sin(P)/p = sin(R)/r
given: sin(P) = 0.3 , sin(R) = 0.8 , r = 16
0.3/p = 0.8/16
0.3/p = 8/10×1/16
0.3/p = 8/160
0.3/p = 1/20
p = 3/10×20
p = 60/10
p = 6
Vincent's pie recipe calls for 5 ounces of pecans and 7 ounces of walnuts. How many total ounces of nuts does his recipe call for?
Answer:
12 nuts
Step-by-step explanation:
[tex]7 + 5 = 12[/tex]
please answer fast :)
Will says you cannot use a graphing calculator to graph a line when the equation is in point slope form. Explain Will's reasoning. How could you modify an equation given in point-slope for so that you could graph the line on a graphing calculator? Use the equation y - 2 = -3(x + 5) as an example in your explanation.
Answer: y-2=3x-15 that’s wher my knowledge stops hopefully that helps a little. ♀️
Which of the following factors does not affect the mortgage payment?
A. The down payment
B. Interest rates
C. The neighborhood the home is located in
D. The borrower's credit score
Answer:
I think D does not affect t
The correct factors which does not affect the mortgage payment is,
⇒ The neighborhood the home is located in.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Since, We know that;
A mortgage can be defined as a loan where ones property is used as a collateral. The mortgage payment is based on property price, interest rate, down payment, the term of the loan, taxes, various insurance like homeowners insurance etc.
Hence, It's not depend on ''The neighborhood the home is located in.''
Option C is true.
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If an object is projected upward into the air from ground level, then the height h(t) of the object
in feet at time t in seconds is given by:
h(t) = -16t^2+ 344t
How long does it take for the object to hit the ground? SHOW ALL WORK clearly and neatly - do not skip
steps. The show all work part cannot be stressed enough.
Answer:
21.5secs
Step-by-step explanation:
Given the function that models the height of an object as
h(t) = -16t^2+ 344t
The object hit the ground at h(t) = 0
Substitute
0 = -16t^2+ 344t
16t^2 = 344t
16t = 344
t = 344/16
t = 21.5
Hence it takes 21.5secs for the object to hit the ground
write down four common multiple of 9 and 6
Answer:
18, 36, 90, 180 are common multiples of 9 and 6Step-by-step explanation:
1 Answer
multiples 6:{6,12,18,24,30,36,42,48,54,60,66,..}
multiples 9:{9,18,27,36,45,54,...}
common multiples {18,36,54,... }
The radius of a circle is 25 millimeters. Find the diameter.
If you know the radius of the circle, you double it to get the diameter. if the radius is 25mm than the diameter will be 25mm×2, which gives you 50
What is the Distance between (-5, -5) and (-9, -2)
Answer:
4,3
Step-by-step explanation:
Graph (1,-3) on a grid
Step-by-step explanation:
To plot (1,-3), start at the origin (0,0) and move right 1 unit and down 3 units.
hope it helps.
Q5. Convert 7000 yards into kilometres. Given that 1km = 1093.6 yards
1)6km
2)O 62km
3)7.3km
4)O 6.4km
Answer:
4. 6.4km
Step-by-step explanation:
I hope this helps ^-^
math pre calc, transformation of radical functions
PLEASE HELP GOT TO HAND THIS IN SOON IM CONFUSED.
I WILL VENMO ANYONE WITH GOOD ANSWERS
Answer:
Im pretty sure you can just search this up number by number and you will find all the answers
I need to get this right man
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
Angle 8 because it is a different measure to the other options.
Step-by-step explanation:
Congruent means the angles are the same and angle 8 is not the same as angle 7.
Can Someone Help Me. ?
Answer: 2/4
Step-by-step explanation:
Determine whether the figure has line, point, and/or rotational symmetry.
Answer: do you have a picure to go with it sorry im not getting it?
Step-by-step explanation: