(a)
Y is
inversely proportional to the square of x.
The Given that y = 10 for a particular value of X,
find the value of y
when this value of x
is halved.

Answers

Answer 1

Answer:

y = 40

Step-by-step explanation:

y = k/x²

Let a = the x-value corresponding to y = 10

For x = a, y = 10

10 = k/a²

k = 10a²

The function is:

y = 10a²/x²

Now we halve the x-value a:

Let x = a/2.

y = 10a²/x²

y = 10a²/(a/2)²

y = 10a²/(a²/4)

y = 40


Related Questions

Please help In triangle ABC, m∠A=47∘ and m∠B=70∘. What is the measure of angle C?

Answers

Answer: <C = 63°

Step-by-step explanation:

The interior angles in all triangles always equal 180°

47 + 70= 117

180 - 117 = 63°

<C = 63°

hope this helps :)

what is the mean of the data set 17,9,11,7

Answers

Answer:

11

Step-by-step explanation:

Mean - add all the numbers up and divide by the amount of numbers you have.


Add all the numbers up-

17 + 9 + 11 + 7 = 44


Divide by the amount of numbers you have, since you have 4, divide by 4

44/4 = 11


11 would be your answer!


I hope it helps! Have a great day!

Muffin ^^

what is 7/5 as a simple thing?

Answers

In decimal form: 1.4
In mixed number form: 1 2/5

kyle has x -3ounce blue marbles and 5 ounce green marbles. lara has 5-ounce green marbles and 3-ounces of blue marbles. is it possible for kyle and lara to have the same number of green marbles and the same total bag weight ,y? explain

Answers

Answer:

yes

Step-by-step explanation:

if x=6, 6-3=3 , so it is possible if x is 6

IMAGE IS DOWN BELOW
SOMEONE PLEASE HELP ME WITH THIS
ILL GIVE YOU BRAINLIST ANSWER

Answers

Answer:

13.0 cm

Step-by-step explanation:

We proceed by Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

We are given a = 1 and b = 13

[tex]1^2 +13^2 =c^2\\c=\sqrt{170}\\[/tex]

c ≈ 13.0

This is the answer rounded to the nearest tenth.

13.0
Use the Pythagorean theorem
Round to the nearest tenth

Please Help! I'll give a brainliest!

Tania is a car salesperson at Yorkshire Motors and earns straight commission on sales. She earns 15%commission on sales of vehicles, service contracts, and accessories. During her first year, Tania's sales totaled $454,000.00. How much money did Tania earn in her first year at the dealership?


Tania earned $_____ in commission the first year.

Answers

Answer:

$68100

Step-by-step explanation:

Commission = 15% of sales amount

The amount Tania earned is:

$454000*15/100 = $68100
Earnings=454000

Commission is 15% of earnings

Commission:-.

15% of 4540000.15(454000)68100$

Solve the picture for n

Answers

The two angles shown are vertical angles which men they equal each other:


9n = 8n + 8

Subtract 8n from both sides:

N = 8

->Solution

i) 9n = 8n+8 [ V.O.A. vertically opposite angles ]

or, 9n - 8n = 8

or, n = 8

therefore, value of n is 8

Now,

ii) 9n = 9 X n = 9 X 8 = 72 degrees

iii) 8n + 8 = 8 X 8 + 8 = 64 + 8 = 72 degrees

if a-1/a=5 then find the value of a square +1/asquare​

Answers

Answer:

3

Step-by-step explanation:

Calculating a

a - 1 / a = 5a - 1 = 5a4a = -1a = -1/4

Substitute in the 2nd equation

a² + 1 / a²(-1/4)² + 1 / (-1/4)²1/2 + 1 / 1/23/2 / 1/23

A farmer is mapping out his acreage to
determine where to put up fencing for his
cattle. The length of his plot is 20 yards lõnger
than its width.
Write the function, f(w), that describes the
area, in square yards, of the land enclosed by
the fence.
Enter your answer in the space provided.

Answers

Width be xLength is x+20

So

Area=Length×BreadthArea=x(x+20)Area=x^2+20xyd^2

again another Pythagorean Theorem i need help on, please and thank you

Answers

     You commented that part of the instruction included "If the theorem cannot be applied, explain the reason."

     The theorem cannot be applied. Since this is not a right triangle, we cannot solve using the Pythagorean Theorem unless we are given a height. If we have the height of this triangle, then we can break it into two different right triangles and solve.

What is a right triangle? A right triangle is a triangle that has an angle measurement of 90 degrees.

       In summary, this is an isosceles triangle and the Pythagorean Theorem only applies to right triangles.

i need help it is overdue ): ​

Answers

Answer:

x = 4[tex]\sqrt{3}[/tex] , y = 4

Step-by-step explanation:

using the cosine and sine ratios in the right triangle and the exact values

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{8}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 8[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 4[tex]\sqrt{3}[/tex]

and

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{8}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 8 ( divide both sides by 2 )

y = 4

What type of triangle is defined by the following set of side lengths
11, 9 , 7
Question 4 options:
Acute
Obtuse
Right
Not a triangle

Answers

Answer:

it looks like a triangle but it is not it is called a Nonigon

It is known that
the pair of values x = –3 and y =8 is a solution to the equation
5x +by =17. Find the value of the coefficient b.

Answers

[tex] \huge\boxed { \frak{Answer : }}[/tex]

Given :

[tex] \: \: \: [/tex]

[tex] \rm \large \: x = - 3 \: , \: y= 8[/tex]

[tex] \: \: \: [/tex]

We Have To Find The Value Of " b ".

[tex] \: \: \: [/tex]

[tex] \sf \large \: 5x + by = 17 \: \: \: \: \: -- eqn( 1 )[/tex]

[tex] \: \: [/tex]

Now , Put the given value of x & y in the above eqn ~.

[tex] \: \: [/tex]

[tex] \sf \large \: \: \: \: ⇝5x + by = 17[/tex]

[tex] \: \: [/tex]

[tex]\sf \large \: \: \: \: ⇝5( - 3) + b(8) = 17[/tex]

[tex] \: \: [/tex]

[tex]\sf \large \: \: \: \: ⇝ - 15 + 8b = 17[/tex]

[tex] \: \: [/tex]

[tex]\sf \large \: \: \: \: ⇝8b = 17 + 15[/tex]

[tex] \: \: [/tex]

[tex]\sf \large \: \: \: \: ⇝8b = 32[/tex]

[tex] \: \: [/tex]

[tex]\sf \large \: \: \: \: ⇝b = \cancel\frac{32}{8} [/tex]

[tex] \: \: [/tex]

[tex] \boxed{\sf \large \: \: \: \: \underline{ \: \: ⇝b = 4 \: \: \: \: }}[/tex]

[tex] \: \: [/tex]

Hope Helps!:)

The value of the coefficient b in the linear equation 5x +by =17 is -4

How to determine the equation solutions?

The pair of values are given as:

(x,y) = (-3,-8)

The equation is given as:

5x +by =17

Substitute values for x and y in the equation

-5 * 3 - 8 * b =17

Evaluate the product

-15 - 8b =17

Add 15 to both sides

-8b = 32

Divide both sides by -8

b = -4

Hence, the value of the coefficient b is -4

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What is the measure of the radius, c, rounded to the nearest hundredth? use an appropriate trigonometric ratio to solve. 5.88 cm 8.09 cm 12.36 cm 17.01 cm

Answers

The measure of the radius, c, rounded to the nearest hundredthis 12.36cm

Trigonometry identity

The given figure is a pentagon. The measure of one of the interior angle is 108 degrees.

The triangle in the pentagon is right angle.

Measured acute ange = 108/2 = 54 degrees

Using the trig identity

sin 54 = 10/c

c =10/sin54

c = 10/0.8090
c = 12.36 cm

Hence the  measure of the radius, c, rounded to the nearest hundredthis 12.36cm

Learn more on trigonometry identity here; https://brainly.com/question/7331447

Answer:

12.36

Step-by-step explanation:

heath records the number of winners of three ring toss games. According to heaths experiments, what is the probability a player will win the game

Answers

I don’t know ask your teacher

You supply a good at a price of $5. You also earn a profit at this price. This means that your marginal cost could be _____. $2.00 $5.00 $10.00

Answers

[tex]$5.00[/tex][tex]Hello[/tex] [tex]There![/tex]

Your answer is..:

$[tex]5.00[/tex]

Hopefully, that helps you!!

[tex]OwoSokka[/tex]

8, 14.5, 21, 27.5, 34, 40.5 What’s the next number in the sequence

Answers

Answer:

47

Step-by-step explanation:

Determine if the sequence is arithmetic or geometric.

The difference between each term in the sequence is constant, so this is an arithmetic sequence.

To calculate the common difference, subtract one term from the next term:

14.5 - 8 = 6.5

21 - 14.5 = 6.5

27. 5 - 21 = 6.5

34 - 27.5 = 6.5

40.5 - 34 = 6.5

So the common difference is 6.5

To find the next term in the sequence, add 6.5 to the last term given:

40.5 + 6.5 = 47

If P = (4,7), Find:
r 180° (P)
([?], [])

Answers

Answer: (-4,-7)

Step-by-step explanation:

Find the mean of the data set without the outlier.
Then, find the mean of the data set with the outlier.

Answers

Answer:

Without outlier: 9

With outlier: 8.2

Step-by-step explanation:

Outlier is the lonely point at 1 passenger.

Mean is the average

Without outlier:

one 7

two 8

two 9

four 10

=[7+(2*8)+(2*9)+(4*10)] / 9

= (7 + 16 + 18 + 40) / 9

= 81/9

9

With outlier:

one 1

one 7

two 8

two 9

four 10

=[1+7+(2*8)+(2*9)+(4*10)] / 10

= 82/10

=8.2

Answer:

Mean with outlier: 8.2

Mean without outlier: 9

Hope This Helps! :) Please Give Brainliest!

2x - 5 = 3 what does X equal to?

Answers

x = 4 because 2 times 4 equals 8 and 8 minus 5 is 3

please b quick

The display on a calculator reads 9.378 E - 5. Which value does this represent?

a. 937,800,000
b. 937,800
c. 0.00009378
d. 0.000009378​

Answers

Answer:  C.0.0009378

Step-by-step explanation:

9.378E-5 is basically 9.378 x 10∧-5. Move the decimal to right 5 times.

Review the graph of function f(x). On a coordinate plane, a graph has maximum point at open circle (0, 4), and curves down and then repeats with smaller curves at intervals of 2 pi in both the positive and negative x -axis. A point is at (0, negative 2). Which statement identifies and explains Limit of f (x) as x approaches 0? The limit Limit of f (x) as x approaches 0 = –2 because the value of the function at x = 0 is –2. The limit Limit of f (x) as x approaches 0 does not exist because there is an open circle at (0, 4). The limit Limit of f (x) as x approaches 0 = 4 because both the left-hand and right-hand limits equal 4. The limit Limit of f (x) as x approaches 0 does not exist because there is oscillating behavior around x = 0.

Answers

The true statement is that (b) The limit [tex]\lim_{x \to 0} f(x)[/tex] does not exist because there is an open circle at (0, 4).

How to interpret the limit of f(x)?

From the graph of the function (see attachment), we have the following highlight:

There is an open circle at point (0,4), the maximum point of the function f(x) and when x = 0

When there is an open circle in the graph at x = 0, then the function has no limit at this point

This is so because the value is exclusive of the function values

Hence, the limit [tex]\lim_{x \to 0} f(x)[/tex] does not exist because there is an open circle at (0, 4).

Read more about limits and continuity at:

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Answer:

C - The limit Limit of f (x) as x approaches 0 = 4 because both the left-hand and right-hand limits equal 4.

Step-by-step explanation:

Precalc Edge 2023

How much closer is it to travel from Aurora to Clifton directly than from Aurora to Clifton through Burlington?

Answers

Answer:

40m

Step-by-step explanation:

The total distance from Aurora to Clifton through Burlington is: 65 + 72 = 137

137 - 97 = 40

So it is 40 m  closer to travel from Aurora to Clifton directly than from Aurora to Clifton through Burlington.

In 1932, the average house in the united states cost $3,900. today, the average cost of a house is $350,000. what is the percent of change in the average price of a house in the united states (round to the nearest whole percentage)? ​

Answers

Answer:

8,874%

Step-by-step explanation:

Find percent of change by finding the differnce between the original price and new price. You can then use a proportion "change/original = percent/100"

Find the length of the third side. If necessary, round to the nearest tenth

Pythagorean Theorem (Rounding)

Answers

Answer:

169

Step-by-step explanation:

Answer:

13 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Now lets solve!!

5^2 + 12^2 = c^2

25 + 144 = c^2

169 = c^2

Now we need to find the square root!!

[tex]\sqrt{169}[/tex] = 13

Have an amazing day!!!

Please rate and mark brainliest!!

The radius of a circle is 17 yards. What is the circle's circumference? Use 3.14 for ​.

Answers

Answer:

Circumference of circle is 106.76 yards

Step-by-step explanation:

Given that, radius of Circle is 17 yards. To find the circumference of the circle we will the formula of circumference of circle:

Circumference of circle = 2πr

2 × 3.14 × 17

6.28 × 17

106.76 yards

Hence,

Circumference of circle is 106.76 yards
106.76 yards

Step-by-step explanation :

As, it is given that, the radius of a circle is 17 yards and we are to find the circumference of the circle.

We know that,

[tex]{\longrightarrow {\qquad{\mathfrak {\pmb{ Circumference_{(circle)} = 2 \pi r }}}}}[/tex]

Here,

r is the radius of the circle.

We'll take the value of π as 3.14

Now, substituting the values :

[tex]{\longrightarrow {\qquad{\sf {{ Circumference_{(circle)} = 2 \times 3.14 \times 17 }}}}}[/tex]

[tex]{\longrightarrow {\qquad{\sf {{ Circumference_{(circle)} = 6.28 \times 17 }}}}}[/tex]

[tex]{\longrightarrow {\qquad{\mathfrak {\pmb{ Circumference_{(circle)} = 106.76}}}}}[/tex]

Therefore,

The circumference of the circle is 106.76 yards

The product of a number and 8 is equal to the sum of the number and 13 .

Answers

Answer:

n*8 = n+13

Step-by-step explanation:

To find the equation, we must first disect the sentence.  A product of a number and 8. This means a number times 8. A number n times 8. n*8.  Next, is equal to. This means add an equal to sign after n*8.  n*8 = . The sum of the number (n) and 13. This means n+13.  So, put it all together:

n*8 = n+13

According to the line plot, how many tadpoles were measured?
10 tadpoles
3 tadpoles
4 tadpoles
9 tadpoles

Answers

Answer:

10 Tadpoles were mesured in the line plot

Answer:

10 tadpoles

Step-by-step explanation:

look at the diagram

count the x's

you get your answer

a cylindrical tank has a diameter of 24 dm And a height of 30, dm.how many litters of a water can it hold when full (1 dm³ = 1 L)​

Answers

You must find the area of the circle first, meaning you need to find the Radius. The radius is half of the diameter so:

R = 12

To find the area of a circle you must do (R)^2 x Pi (3.14)

Meaning you must do:

12 x 12 = 144 = (R)^2

144 x (3.14) Pi = 452.16

Next we need to find the volume of the tank, by using the area of the circle we can now use the formula Area ((R)^2 xPi (3.14)) x height

We know the height equals 30dm so:

452.16 x 30 = 13,564.8

As it is 1dm^3 to 1L we don’t need to divide anything to equal them as they are the same meaning the answer is

13,564.8 Litres

your class wants to sell school spirit cups with the school logo on them .you teacher asks you to design this new cup such that a stack of 10cups will be 125 cm tall. describe key measurements of the school spirit cups and explain how they will meet the reqiured specifications

Answers

Each cup is 1 cm after being stacked

The class can make the school cup of 120.5 cm tall.

What is Equation?

Equations include two sides on the left and right connected with equal to sign.

We can find the key measurements of the cups using the formula,

x + 10y = 125

where x is the height of one cup without including the lip length and y is the lip length.

x + y is the height of one cup.

There are various ways to form the measurement of x and y here.

Let y, the lip length of the cup be 1 cm tall. Then,

x + 10 = 125

⇒ x = 115

Length of 1 cup will be 115 + 1 = 116 cm.

Suppose length of lip, y be 0.5 cm. Then,

x + (10 × 0.5) = 125

x + 5 = 125

x = 125 - 5

x = 120 cm

Length of 1 cup will be 120 + 0.5 = 120.5 cm.

Similarly, we can have many measurements for the height of one cup.

Their logo can be placed in the middle of the cup taking the height of 80 cm leaving 20 cm on the top and bottom.

Hence the class can make the school cup of 120.5 cm tall.

To learn more about Equations, click :

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