Given:
The table of values.
v and x are in direct proportion.
To find:
The formula connecting v and x.
Solution:
(a)
v and x are in direct proportion.
[tex]v\propto x[/tex]
[tex]v=kx[/tex] ...(i)
Where, k is the constant of proportionality.
Putting v=13.6 and x=32.64, we get
[tex]13.6=k(32.64)[/tex]
[tex]\dfrac{13.6}{32.64}=k[/tex]
[tex]\dfrac{5}{12}=k[/tex]
Putting the value of k in (i), we get
[tex]v=\dfrac{5}{12}x[/tex]
Therefore, the required formula that connecting v and x is [tex]v=\dfrac{5}{12}x[/tex].
(b)
Putting v=n and x=8.16, we get
[tex]n=\dfrac{5}{12}(8.16)[/tex]
[tex]n=3.4[/tex]
Therefore, the value of n is 3.4.
Find the slope of the line above.
m =?
HELP ME PLEASE!!
At figure skating practice, Michelle landed 15 out of 18 attempts at a double axel. What is the experimental probability that she will successfully land a double axel?
Answer:
5/6 or 0.8333333333 (83%)
Step-by-step explanation:
So she landed 15 out of 18 so we are going to divide 15 by 18 (15/18) which gets us 5/6 or 0.8333333333 or 83%
Hopes this help ^-^
I need to write an algebraic expression that includes 2 constatants, 2 variables, and 2 different operations. It also need it in word form as well as number form. NEED HELP ASAP BEEP HELP ASAP
Answer:
An example would be
(x+3)-(y+12)
The two constants are 3 and 12 (I'm assuming you meant "constant" as in the number that stands by itself and not "constatant" lol)
The two variables are x and y
The two operations are addition and subtraction
In words you could say "the quantity of x plus three minus the quantity of y plus twelve"
3. Jessie is looking for the volume of the cone
below, and she is using the formula V = (1/3)Bh.
Which of the following is the value of “B”?
Answer:
A
Step-by-step explanation:
The base is the circle.
To find the area of the circle, use pi*r^2
pi = 3.14
r = 6
Area = 3.14 * 6^2Area = 3.14 * 36Area = 113.04Answer:
C. 414.48
Step-by-step explanation:
1/3 x 3.14 x 6² x 11 = 4.14.48
A circular pool at a water treatment facility has a radius of 6 meters. Approximately how long is the outer rim of the pool? (Use 3.14 for π.)
a. 40 m b. 60 m c.80 m d.160m
Answer:
Step-by-step explanation:
length of outer rim = circumference = 2π(radius) = 12π meters ≅ 37.68 meters
So none of the choices is correct.
A laundry detergent box measures 12 inches by 8 inches by 2 inches. What is the volume of the box of detergent?
Answer:
Step-by-step explanation:
The answer is 12x8x2 so it would be 192
The vertex of this parabola is at (3, 5) . When the y-value is 6, the x-value is - 1 What is the coefficient of the squared term in the parabola's equation? (3, 5) A. -4 B. 4 C. 2 D.2
Answer:
The correct approach is Option A (-4).
Step-by-step explanation:
The given values are:
Vertex of the parabola,
(h, k) = (3, 5)
Passing through,
(x, y) = (-1, 6)
As we know,
The equation of parabola is:
⇒ [tex]x=a(y-k)^2+h[/tex]
On substituting the given values in the above equation, we get
⇒ [tex]-1=a(6-5)^2+3[/tex]
⇒ [tex]-1=a+3[/tex]
On substracting "3" from both sides, we get
⇒ [tex]-1-3=a+3-3[/tex]
⇒ [tex]a=-4[/tex] (coefficient of squared term)
Thus the above is the right choice.
The middle person in a row is the 18th, how many persons are in the row?
Answer:
35
Step-by-step explanation:
You have 17 either side to make 18 the middle e.g if 2 was the middle then you have 1 either side.
Answer:
36
Step-by-step explanation:
if 18 is the middle there are 17 on each side of that person so 17+17+1=36
HELPPPPP PLEASE DUE IN 40 mins
Answer:
1) option b ---> (-3, -5)
2) option a ---> (8, 6)
3) option a ---> (5, 8)
Step-by-step explanation:
1) (3, -5) reflection over the y-axis.
According to the rule of reflection over the y-axis :-
(x, y) ---> (-x, y)
(3, -5) ---> (-3, -5)
2) (-6, 8) rotate 90⁰ clockwise.
According to the rule of rotating 90⁰ clockwise :-
(x, y) ---> (y, -x)
(-6, 8) ---> (8, 6)
*Since x was a negative it becomes positive.*
3) (7, 4) translate 2 unit left and 4 units up.
According to the rule of translation :-
(x, y) ---> (x - 2, y + 4)
(7, 4) ---> ( 7 - 2, 4 + 4)
(7, 4) ---> (5, 8)
Hope this helps and stay safe, happy, and healthy, thank you :) !!
please answer the questions that are attached will give extra points!
I am multiple of 20 i have 3 digits my hundreds digit and tens digit add to make 9 half of me is less than 100 what am i
Answer:
180
Step-by-step explanation:
Given :
the number has three digits
it is multiple of 20
hundreds digit and tens digit add to make 9
half of it is less than 100.
I suppose 180 can correctly fit into all above criterions
It is 3 digit number. 1+8 =9, 180/2 =90 which is less than 100.
Show work A circular pond has a circumference of about C feet. The diameter of the pond is 7 feet. Which expression best represents the value of pi?
Answer: 7
Step-by-step explanation:
7x1x1=7/1=7
someone please help me please
Answer:
D
Step-by-step explanation:
I tried all the other equations by plugging in numbers and disproving their accuracy. D was the only one that worked.
If the perimeter of a rectangular picture frame must be less that 200 in, and the width is 36 in. what must the height H of the frame be?
Answer:
w = width
h = height
2(w+h) < 200
w + h < 100
since w = 36, then
36 + h < 100
h < 100 - 36
h < 64
Step-by-step explanation:
The perimeter of the rectangular picture frame can be calculated by the equation,
2h + 2w = P
where h and w are height and width , respectively. Substituting the known values and the condition for the inequality,
2h + 2(36 in) < 200
The inequality gives h as,
h < 64
Thus, the answer is letter A.
Edward invested $43,800 in an account which yields 4.8%
annually. How much will be in the account after 24 months?
Answer:
I think it’s
$ 4,128.00
But I don’t know for sure
How would you interpret the statement that b (14)=170
Answer:
B= 12.14
14 multiplied by B= 170
170/14 = 12.14
Step-by-step explanation:
During a basketball game, one of the players scores 8 points for her team. If the points she scored represent 20% of the team's total points, as shown below, how many points did the team score during the game?
Answer:
40points
Step-by-step explanation:
Given data
Let the total points the team scored be x
so that
20% of x= 8 points
let us solve for x
20/100*x= 8
0.2*x= 8
0.2x= 8
Divide both sides by 0.2
x= 8/0.2
x= 40 points
Hence the time scored 40points
Please help me with this pleasee i give brainliest.
Answer:
s= 7/4
y=14
Step-by-step explanation:
Answer:
The rate at which the snow was melting per hour
Step-by-step explanation:
please help‼️
what’s the perimeter of a rectangle with 6x+10 as it’s width and 4x+1 as it’s length
Answer:
the equation will be 2(6x+10+4x+1)
simplified to
12x+20+8x+2
simplified to
20x+22
The perimeter of the rectangle will be 20x+22
Thank you, Hope it helps
Answer: The length of both sides would be 12x+20 and the width of both sides would be 8x+2, so the perimeter of the rectangle would be 20x+22
Shanise designed a Stainglass window in the shape of a kite Select the correct measures to label the dimension of the window.
Question 17. A circular flower bed has a diameter of 20 cm, what is the
area of the flower bed?
A 62.84 cm
B 125.68 cm
C 256.8 cm
D 314.2 cm
Which is the answer?
Answer:
im pretty sure the answer is B
Step-by-step explanation:
What dose 25.76 + 35.95=
Answer:
61.71
Step-by-step explanation:
Answer: 61.71
Step-by-step explanation:
Write two numbers that multiply to the value on top and add to the value on bottom.
An artist is creating tiles to use in a project. Each tile is to be in the shape of a right triangle. One of the legs of the tile is to be 3 Inches long. The hypotenuse is to be z Inches long.
Write an expression in terms of 3 that models the other leg of a tile.
Answer:
???
Step-by-step explanation:
Joshua drove his car a distance of 321.7 miles, and it required 13.6 gallons of gasoline (petrol). How many liters of fuel will it take to go 100 kilometers?
Answer:
1005.68 litres
Step-by-step explanation:
Steps to answering this question
Convert miles to kilometers and gallons to litresThen divide the converted miles by the converted gallons Multiply the value gotten from the above step by 100 km1 gallon = 3.78541 litres
13.6 gallons x 3.78541 = 51.48 litres
1 mile = 1.60934 km
321.7 miles x 1.60934 = 517.72 km
Litre needed per kilometer = 517.72 km / 51.48 = 10.06
Litres needed for 100 km = 100km x 10.06 = 1005.68 litres
Which scatterplot shows a linear association?
Answer:
A scatter plot shows the association between two variables. A scatter plot matrix shows all pairwise scatter plots for many variables. If the variables tend to increase and decrease together, the association is positive. If one variable tends to increase as the other decreases, the association is negative.
Step-by-step explanation:
mark me brainliest plzzzzzzz
Answer:
For me its A
Step-by-step explanation:
It is the one that is the positive linear association.
Plz mark as brainliest
9. Christina baked 1 dozen chocolate cupcakes and 18 vanilla cupcakes. What is the ratio of vanilla cupcakes to chocolate cupcakes?
18:1
3:2
3:5
12:18
Answer:
3:2
Step-by-step explanation:
Ben rolled a number cube numbered one through six. It landed on an odd number 30 times. What is the probability that it lands on an odd number on the next roll?
Answer:
1 /2
Step-by-step explanation:
Sample space of number cube : (1, 2, 3, 4, 5, 6)
Odd numbers on cube : (1, 3, 5) = 3 odd numbers
Since each roll of number cube is independent, the number of times it has landed between fire does not matter :
Therefore, probability of landing on a odd number is :
P = required outcome / Total possible outcomes
P = 3 / 6
P = 1/2
1 point
A football team gained 3 yards on the first play, lost 5 yards on the second
play, then gained 9 on the third play. If the starting point is represented by
"0" where does the team end the game? *
Answer:
7
Step-by-step explanation:
0+3=3-5=-2+9=7