Answers
Answer:
y = 96
Step-by-step explanation:
given that y is directly proportional to x² then the equation relating them is
y = kx² ← k is the constant of proportion
to find k use the condition when y = 24 , x = 2 , then
24 = k × 2² = 4k ( divide both sides by 4 )
6 = k
y = 6x² ← equation of proportion
when x = 4 , then
y = 6 × 4² = 6 × 16 = 96
Related Questions
You deposit # 100 in a savings account that earns 6% annual interest compounded monthly. What
the balance after 5 years.
Answers
Answer:
$134.89.
Step-by-step explanation:
Monthly interest = 0.06/12 and its for 5*12 months.
Amount after 5 years = 100(1 + 0.06/12)^(5*12)
= 100(1 + 0.06/12)^60
= $134.89
The formula for the distance traveled over time ttt and at an average speed vvv is v\cdot tv⋅tv, dot, t.
Amit ran for 404040 minutes at a speed of about 555 kilometers per hour
What calculation will give us the estimated distance Amit ran in kilometers?
Answers
Please help me solve for X
Answers
Answer:
[tex]\boxed{\sf x = 8.67}[/tex]
Step-by-step explanation:
[tex]\sf 6(6 + x) = 4(4 + 18)[/tex]
Use the distributive property to multiply 6 by (6+x).
[tex]\sf 36+6x=4(4+18)[/tex]
Let's add 4 and 18 = 22.
[tex]\sf 36+6x=4 \times 22[/tex]
Multiply 4 and 22 = 88.
[tex]\sf 36+6x=88[/tex]
Subtract 36 from both sides.
[tex]\sf 6x=88 - 36[/tex]
[tex]\sf 6x=52[/tex]
Divide both sides by 6.
[tex]\sf x = 8.67[/tex]
Please awnser last question if correct we can do thisss
Answers
Answer:
B = (8,2)
C = (8,9)
D = (5,4)
Step-by-step explanation:
Hope this helps!
Answer:
Point B: (-8,2) Point C: (-8,9) Point D: (-5,4)
Step-by-step explanation:
Since you are reflecting over the y-axis, the numbers in the coordinates will be the same but they will all have a negative "x" value instead of both numbers in the coordinate being positive.
Point B: (8,2) --> (-8,2)
Point C: (8,9) --> (-8,9)
Point D: (5,4) --> (-5,4)
What is the equation of a line passing through points (1, 2) and (3, 8)?
A.
y = x + 5
B.
y = 1
3 x – 1
C.
y = 3x – 1
D.
y = 1
5 x – 1
E.
y = x + 1
Answers
The equation of the line passing through these two points (1, 2) and (3, 8) will be y = 3x – 1. Then the correct option is C.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The points are (1, 2) and (3, 8).
Then the equation of the line passing through these two points (1, 2) and (3, 8) will be
[tex]\rm (y - 2) = \dfrac{ 8- 2}{3-1} (x - 1)[/tex]
On simplifying the equation, we have
y - 2 = 3(x – 1)
y - 2 = 3x – 3
y = 3x – 1
More about the linear system link is given below.
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I WILL CHOOSE BRAINLYEST please asap need help
Answers
Answer:
a. is not proportional and b. is proportional
Step-by-step explanation:
a. constant is 1 and b. constant is -2
PLSS HELP ASAPP!! ILL GIVE BRAINLIEST!What is the point slope form of the line with slope -3/2 that passes through
the point (1, -3)?
Answers
Answer:
y= -3/2x - 3/2
Step-by-step explanation:
So you know the gradient of the line is -3/2x since that is the gradient.
So the equation so far is y=-3/2x +c
Then, substitute the co-ordinates to find c so:
-3 = -3/2 +c
-3/2 = c
The equation is y = -3/2x -3/2
A number cube has edges of 8 centimeters. What is the surface area of the number cube?
-64 square centimeters
-192 square centimeters
-384 square centimeters
-512 square centimeters
Answers
Answer:
384 square centimeters
Step-by-step explanation:
The surface area formula for a cube is 6L^2
(L=length or in this case edge)
Plug in values and solve the formula.
SA=6L^2
SA=6(8^2)
SA=6(64)
SA=384 square centimeters
Question 13 of 17
Which values of x would make a polynomial equal to zero if
the factors of the polynomial were (x+4) and (x+8)?
Answers
Answer:
-4 and -8
Step-by-step explanation:
(x+4)(x+8) = 0
x+4 = 0 or x +8 = 0
x = -4 or x = -8
The Small Business Administration guarantees some loans. The fee for this can range up to 3.75%. On a $1M business loan, how high could the fee be?
Answers
Answer:
$37,500
Step-by-step explanation:
The amount of the fee is the product of the fee rate and the amount to which that rate is applied.
__
3.75% × $1,000,000 = 0.0375 × $1,000,000 = 37.5 × $1000
= $37,500
The fee on a $1M loan could range up to $37,500.
_____
Additional comment
If you're computing this by hand, it can be easier to (a) use scientific notation, or (b) adjust the decimal points as we have shown here. In this case, we multiplied the percentage by 1000 and divided the loan amount by 1000. The product remains the same, but the numbers are easier to deal with.
In scientific notation, this is 3.75E-2 × 1E6 = 3.75E4 = 37.5E3 = 37,500, where the "E" notation would be that used by a calculator or spreadsheet.
Please help...a counselor wishes to examine the benefits of a parenting class on parenting
skills. he decides to administer a questionnaire to the 10 parents who have
attended the most recent class. how could this study be improved?
select all that apply.
a. administer a questionnaire to parents who have not attended the
class.
b. use a random sample of all patients, who have attended the
class.
c. increase the sample size.
d. give parents some sample responses, prior to administering the
questionnaire.
Answers
explanation
Find the Surface Area:
A) 144 in^2
B) 102 in^2
C) 17 in^2
D) 180 in^2
E) 68 in^2
Answers
Answer:
D 180 in²
Step-by-step explanation:
step 1
2 (l) (w) + 2 (l) (h) + 2(h) (w)
step 2
2×(6)×(3) + 2×(6)×(8) + 2×(8)×(3)
step 3
2×(18) + 2×(48) + 2×(24)
step4
36 + 96 + 48 = 180 in²
Х
The weight of the rectangle is 80 grams.
The weight of the triangle is double the weight of the
circle.
Determine the weight of the circle.
Answers
====================================
[tex]\large \sf \underline{Problem:}[/tex]
The weight of the rectangle is 80 grams.
The weight of the triangle is double the weight of the
circle.
Determine the weight of the circle.
====================================
[tex]\large \sf \underline{Answer:}[/tex]
Rectangle has four sides. The total weight of the circle is 20 grams.
====================================
[tex]\large \sf \underline{Explanation:}[/tex]
What is a rectangle?
A rectangle is a 2D shape that has four sides, and the pair of opposite sides are equal and parallel to each other.
As it is given that the weight of the rectangle is 80 grams, and a rectangle is made up of two triangles. Therefore, the weight of each triangle can be written as,
[tex]Weight \: of \: the \: reactangle \: = \frac{80}{2} = 40 grams[/tex]
It is given that the total weight of the triangle is double the weight of the circle. therefore, the relationship can be written as,
[tex]Weight \: of \: the \: triangle = 2x \\ Weight \: of \: the \: circle \: \\ 40 = 2 \times Weight \: of \: the \: circle
[/tex]
[tex]Weight \: of \: the \: circle = 20 grams[/tex]
Hence, the total weight of the circle is 20 grams.
Learn more about Rectangle:
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====================================
Hence the weight of the circle is 20 grams.
Answer:
Solution Given:
Weight of rectangle =80grams
we know that
twice the weight of triangle =weight of rectangle
2*weight of triangle =80 grams
weight of the triangle = 80/2=40 grams
again
The weight of the triangle is double the weight of the
circle.
weight of the circle=½*weight of triangle
=½*40=20grams
Ricki Charges $ 10.45 an hour for her new labor. This job took her 13 hours. What is the new total for the job, including material costs and labor?
Answers
Deshawn earned $48 raking leaves last October. He decided to save 3/8 of his money. How much money did Deshawn save?
Answers
Explanation:
Because 3/8 of 48 is 18
3/8= 0.375
48•0.375 = 18
The city library has 763,045 books. What is the value of the digit 6 in this
number?
I tried to do this problem but I have to do something like this
Answers
Answer:
The 6 is in the ten-thousands place
Step-by-step explanation:
6 written as a ten-thousand is 60,000
Areas of Southeast Asia were very desirable, especially because of their rich soil and these lands
A. Putrid
B. Grotesque
C. Arable
Answers
Answer:If im correct the answer is C
Step-by-step explanation:
what is the range of the function graphed above?
Answers
Answer:
The range of the function is [0 , ∞) ⇒ answer B. Step-by-step explanation: * lets revise the meaning of the domain and the range - The domain is the values of x - The domain is all the values of x which make the function is defined - If there are some values of x make the function undefined, we exclude these values from the domain
Step-by-step explanation:
please mark me brainliestCan somebody help me find the area of this composite shape
Answers
Alone, this shape cannot have the area solved in one step. So, you must break it up into multiple pieces.
For this, we can break it up into a rectangle, and a right triangle.
The area formula for a rectangle is [tex]area = l*w[/tex]
The area formula for a right triangle is [tex]area = \frac{1}2} b*h[/tex]
To find the area of the rectangle, multiply 14 * 18 = 252 m^2
To find the length of the triangle, subtract 20 - 14 = 6
To find the height of the triangle, subtract 18 - 11 = 7
So, it is [tex]\frac{1}{2} 6*7[/tex] = 21 m^2
21 + 252 = 273 meters squared
Hope this helps, feel free to ask any questions
- Jeron :)
What is the range of the function graphed below?
Picture has the stuff
Answers
Answer:
∝ < y < 2
Step-by-step explanation:
The range is negative infinity to 2.
Which sign makes this number sentence true?
|-56| __ |56|
A. >
B. <
C. =
D. x
Answers
Hey there!
Basically your above absolute value is the proportions of real numbers regarding the sign of it. So, a negative absolute value will most likely be a positive. Same thing with positive & positive & also a positive & a negative. It all depends!
So, the correction equation should be:
|-56| = |56|
Answer: =
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
In an effort to improve scores on college-entrance exams, the principal at a large high school chooses 35 students
at random who have already taken the exam. The students are enrolled in a six-week prep course to improve their
scores. After the prep course, the students take the college-entrance exam again. The mean difference (first-
second) in exam scores is -1.75 points with a standard deviation of 7.12 points. Assuming the conditions for
inference are met, what is the test statistic for testing the hypotheses Hoi Hoi = 0; He Moip <0?
O 1-1.75 -0
7.12
35
o
0+ 1.75
7.12
35
-1.75 -0
7.12
35
=
1.75 -0
7.12
35
Nex
Submit
Mark this and return
Answers
Using the t-distribution, it is found that the test statistic for the hypotheses test is given by:
[tex]t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}[/tex]
What are the hypotheses tested?At the null hypotheses, it i tested if the mean difference remains the same, that is:
[tex]H_0: \mu = 0[/tex]
At the alternative hypotheses, it is tested if it has decreased, hence:
[tex]H_a: \mu < 0[/tex].
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The parameters are given as follows:
[tex]\overline{x} = -1.75, s = 7.12, n = 35[/tex].
Hence the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}[/tex]
More can be learned about the t-distribution at https://brainly.com/question/16162795
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A water tank measures 1.4m by 8cm by 60cm. Find the capacity of the tank in litres
Answers
Answer:
672 litres.
Step-by-step explanation:
Convert the measurements to cm:
14 m = 1400 cm
The capacity = 1400 * 8 * 60
= 672,00 cm^3
There are 1000 cm^3 in 1 litre so the answer is
672 litres.
How many combinations without repetition are possible if n = 6 and r = 3? 56 20 27 18
Answers
Answer:18
Step-by-step explanation:
n+r=9
n×r=27
r²=9
n²=36
n+n=12
r+n=9
r+r=6
(100 points)Match each graph on the left with the functions on the right
Answers
Answer:
See below ~
Step-by-step explanation:
Graph 1 : y = -3x + 3
Graph 2 : y = 6x + 6
Graph 3 : y = 6x + 9
Graph 4 : y = -7x + 1
Recall slope intercept form of a line
y=mx+bwhere b is y intercept
Whatever m be b is constant for line .
So we can find the equations through y intercepts
#1
y intercept near 5 but beneath 5The most probable according to our options is 3
So equation is
y=-3x+3#2
Y intercept just over 5 .It must be 6
y=6x+6#3
y intercept around 10
.Most probable according to options is 9
y=6x+9#4
Just above the origin the y intercept is present.
y=-7x+1Solve for r. -4 + 2r-5r = 17 = [?] r =
Answers
Answer:
r = -7
Step-by-step explanation:
-4 + 2r - 5r = 17
=> 2r - 5r = 17 + 4
=> -3r = 21
=> r = 21/(-3)
=> r = -7
For the the axis of symmetrythe vertex and the yintercept y = x ^ 2 + 16x + 24
Answers
Answer: D (bottom option)
Axis of Symmetry: x = -8
Vertex: (-8, -40)
Y-Intercept: 24
Step-by-step explanation:
Start by putting the equation into vertex form, which you can do by completing the square. This means the equation will in the form [tex]y=a(x-h)^2+k[/tex].
Once you've done that, you'll get [tex]y=(x+8)^2-40[/tex]. This means that h = -8 and k = -40, so the vertex is (-8, -40) because vertex form is (h, k).
The axis of symmetry is x = -8, because the axis of symmetry is x = h.
The Axis of Symmetry is -8
Solve the system of equations below using the linear combination method (elimination). Then, check your work.
x-2y=2
x-y=6
Answers
Answer: Solution- (10,4)
Step-by-step explanation:
x-2y=2 x-y=6 x-2(4)=2
-1(x-y=6) x-8=2
-x+y=-6 +8 +8
x=10
x-2y=2
-x+y=-6 10-2(4)=2
-y=-4 10-8=2
-1 -1 2=2
y=4
determine if a function or not
Answers
The provided graph is not a function because it touches the graph more than one point.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have given a graph of a function.
We can check the whether the given graph is a function or not by drawing a vertical line if the vertical line touches the graph more than two points then the graph is not a function.
The given graph is not a function because it touches the graph more than one point.
Thus, the provided graph is not a function because it touches the graph more than one point.
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What is the equation of the circle with center (-3.2, -2.1) and radius 4.3?
Answers
The equation of the circle is : [tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 6.4[tex]x[/tex] + 4.2[tex]y[/tex] = 3.84
Meaning of a CircleA circle is a loci or a continuous line that equidistant from the center to any point on the line. it drawn starting from a point and ending on that same point.
The equation of a circle is an equation used to find points on a circle so the circle can be drawn with accurate measurement. it can also be used to find the missing points.
In conclusion, The equation of the circle is : [tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 6.4[tex]x[/tex] + 4.2[tex]y[/tex] = 3.84
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