Given that z is inversely proportional to t. When t = 9,z = 28. Find a) the value of z when t = 12 b) the value of t when z = 36
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Answers

Answer 1

[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\stackrel{\textit{"z" inversely proportional to "t"}}{z=\cfrac{k}{t}}\qquad \textit{we also know that} \begin{cases} t=9\\ z=28 \end{cases} \\\\\\ 28=\cfrac{k}{9}\implies 252=k~\hfill \boxed{z=\cfrac{252}{t}} \\\\\\ \textit{when t = 12, what is "z"?}\qquad z=\cfrac{252}{12}\implies z=21 \\\\\\ \textit{when z = 36, what is "t"?}\qquad 36=\cfrac{252}{t}\implies t=\cfrac{252}{36}\implies t=7[/tex]


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A 60 cm high cylinder with 14 cm its diameter is cut vertically into two equal halves. what is the volume of a half part​

Answers

The volume of the half part of a cylinder of 60 cm high and 14 cm in diameter is 1470π cm³.

Volume of a cylinder

volume of a cylinder = πr²h

where

r = radiush = height

Therefore,

r = 14 / 2 = 7 cm

h = 60 cm

volume of the cylinder = π × 7² × 60

volume of the cylinder = π × 49 × 60

volume of the cylinder = 2940π cm³

The volume of the half part = 2940π / 2 = 1470π cm³

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For a research project on rodents, 41 chipmunks were tagged and released. Later, researchers counted 320 chipmunks in the area. Of the chipmunks they counted, 16 had tags. To the nearest whole number, what is the best estimate for the chipmunk population?

Answers

820 rodents in total

------------------------------------

create a proportional equation:

[tex]\sf \dfrac{present \ rodents}{present \ marked \ rodents} = \dfrac{later \ rodents}{later \ marked \ rodents}[/tex]

[tex]\hookrightarrow \sf \dfrac{x}{41} = \dfrac{320}{16}[/tex]                               ( Let the total population be x )

[tex]\hookrightarrow \sf x= \dfrac{320*41}{16}[/tex]

[tex]\hookrightarrow \sf x= 820[/tex]

Let that be x

[tex]\\ \rm\Rrightarrow \dfrac{41}{x}=\dfrac{16}{320}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{41}{x}=\dfrac{1}{20}[/tex]

[tex]\\ \rm\Rrightarrow x=41(20)=820[/tex]

How many triangles can be constructed with side lengths of 1. 8 cm, 3. 4 cm, and 5. 6 cm?
0

1

more than one


please explain your answer

Answers

Answer:

0.

Step-by-step explanation:

1.8 + 3.4 = 5.2.

The sum of two sides is less than the length of the third side (5.6 cm)  so the answer is 0 triangles,

1 m cube is equal to how many centimetre cube? ​

Answers

Answer:

1,000,000 cm³

Step-by-step explanation:

A cube has 3 dimensions of equal measure:  length, width and height

To determine the volume of a cube, we multiply the dimensions:

⇒ volume of a cube = length × width × height

1 metre = 100 centimetres

Therefore, for a cube with a length, width and height of 100 cm:

⇒ volume = 100 cm × 100 cm × 100 cm

                 = 1,000,000 cm³

What is the reciprocal of look at the attachment

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Answer:

5/2

Step-by-step explanation:

to find the reciprocal you just flip the fraction.

Answer:

the answer is 5/2 because reciprocal means to flip the equation

Step-by-step explanation:

Moses and Louis ran laps after school to train for the basketball team. The ratio of the number of laps Moses ran to the number of laps Louis ran was two to three.

If Moses ran 8 laps, how many laps did Louis run?

Answers

It’s 12 I from what I think
Answer:12

Step-by-step explanation: the ratio was two to three Moses ran 8 laps meaning 2 multiplied by 4 now you multiply 3 times 4 to get your answer

If the record time was 29 in 2015 and now the record time is 25 in 2019 what is the rate of change

Answers

Hope it helpsss best of luck

If y = 35 when x = 140, what is the value of y when x = 70?

Answers

Answer:

17.5

Step-by-step explanation:

x and y are in the ratio: 1 : 4

which means that if y is 35 x is 4 times y equating to 140

hence if x is 70 then y is 17.5

Shawna won 40 super bouncy balls playing
horseshoes at the county fair. At school she
gave three to every student in her math
class. She only has 1 remaining. How
many students are in her class?

Answers

Answer:

13 not including Shawna

Step-by-step explanation:

First, you have to take into account that the remainder is 1, so you must subtract 1 from 40, giving you 39. 39/3 is 13, so 13 is your final answer.

Answer:

13

Step-by-step explanation:

13 x 3=39. There is one remaing, +1 = 40.

Type the correct answer in the box. assume π = 3.14. and round your answer to the nearest hundredth. at the rate of $2.00 per square foot, the cost of painting the rectangular board with a semicircular top shown in the figure is $ .

Answers

The cost of painting the rectangular board with a semicircular top is $31.065 to the nearest hundredth.

How to find the area of the composite figures?

To find area of the composite figures,

Separate the figure.Calculate the are of the each figure by which the composite figure is made of.Add the area of all the individual figures to get the total area of composite figures.

The dimentions of the rectangle is 3 by 4 foot. The area of the rectangle is,

[tex]A_r=3\times4\\A_r=12\rm \;ft^2[/tex]

The radius of the semicircle is 1.5 m. The area of the semicircle is,

[tex]A_{sc}=\dfrac{1}{2}\pi\times(1.5)^2\\A_{sc}=\dfrac{1}{2}(3.14)\times(1.5)^2\\A_{sc}=3.5325\rm\; ft^2[/tex]

The area of the composite figure is,

[tex]A=12+3.5325\\A=15.5325\rm\;ft^2\\[/tex]

The rate of  painting is $2.00 per square foot. Thus the cost to paint the figure is,

[tex]A=15.5325\times2\\A=31.065[/tex]

Hence, the cost of painting the rectangular board with a semicircular top is $31.065 to the nearest hundredth.

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Answer:31

Step-by-step explanation:

What is the perimeter of the shape below?

Answers

None of these choices are correct

The down side of the shape is unknown and cannot be found, therefore you cannot find the perimeter of the shape.

Reflect (-5,-3) over the -axis.
Then translate the result down 2 units.
What are the coordinates of the final point?

Answers

Answer:

(-5,-1)

Step-by-step explanation:

Eman skateboarded 24 miles in 2 hours on Monday and 6 miles in half an hour on Wednesday . Hiro has been tracking his speed while riding his bike also. He noticed that he can bike 15 miles per hour. What is Eman's unit rate?

Answers

Eman's unit rate given the miles he skateboarded and the hours is 12 miles per hour.

What is his unit rate?

The unit rate is the same as average speed. Average speed is the total distance travelled per time. The unit rate can be determined by dividing the distance by the time.

Average speed = total distance / total time

24/2 = 12 miles per hour

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Determine if (2, - 1) is a solution 2x - 4y = 8 to the system - 3x + 6

Answers

Answer:

not a solution

Step-by-step explanation:

substitute the coordinates of the point into both equations and compare values on both sides. If both equations are true then the point is a solution.

2(2) - 4(- 1) = 4 + 4 = 8 ← true

- 3(2) + 6 = - 6 + 6 = 0 ≠ - 1

then (2, - 1 ) is not a solution of the system

1,200 and 11 and you will get 13,200

Answers

Answer:

That is true!

[tex]1,200 * 11 = 13,200[/tex]

Let me know if you need more help with multiplication. I may be able to help.

Have a great day.

A garden table and a bench cost $767 combined. The garden table costs $53 less than the bench. What is the cost of the bench?

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Answer:

55833 that may answer

Step-by-step explanation:

thanktou

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Answer:

the anwer is b

I did the math

The answer is definetly b

The ratio of the diameter of a larger circle to the diameter of a smaller circle is 3/2. What ratio represents the ratio of the area of the larger circle to the area of the smaller circle?

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The bots are taking over brainly

cuanto es 4{(-50+-5)÷3]+6}x[-4+-3÷1)÷3]

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Answer:

-148/3 or -49.3

Step-by-step explanation:

6-10 divide, another onee thank you!!​

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Answers:

10.) [tex]\displaystyle \pm{5}[/tex]

9.) [tex]\displaystyle 1\frac{1}{2}[/tex]

8.) [tex]\displaystyle \pm{1\frac{1}{2}}[/tex]

7.) [tex]\displaystyle \pm{1\frac{1}{2}}[/tex]

6.) [tex]\displaystyle \pm{\frac{1}{2}}[/tex]

Step-by-step explanations:

10.) [tex]\displaystyle \frac{\sqrt{200}}{\sqrt{8}} \hookrightarrow \sqrt{25} \hookrightarrow \frac{\pm{10\sqrt{2}}}{\pm{2\sqrt{2}}} \\ \\ \boxed{\pm{5}}[/tex]

9.) [tex]\displaystyle \frac{\sqrt[3]{135}}{\sqrt[3]{40}} \hookrightarrow \sqrt[3]{3\frac{3}{8}} \hookrightarrow \frac{3\sqrt[3]{5}}{2\sqrt[3]{5}} \\ \\ \boxed{1\frac{1}{2}}[/tex]

8.) [tex]\displaystyle \frac{\sqrt[4]{162}}{\sqrt[4]{32}} \hookrightarrow \sqrt[4]{5\frac{1}{16}} \hookrightarrow \frac{\pm{3\sqrt[4]{2}}}{\pm{2\sqrt[4]{2}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}[/tex]

7.) [tex]\displaystyle \frac{\sqrt{63}}{\sqrt{28}} \hookrightarrow \sqrt{2\frac{1}{4}} \hookrightarrow \frac{\pm{3\sqrt{7}}}{\pm{2\sqrt{7}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}[/tex]

6.) [tex]\displaystyle \frac{\sqrt{12}}{\sqrt{48}} \hookrightarrow \sqrt{\frac{1}{4}} \hookrightarrow \frac{\pm{2\sqrt{3}}}{\pm{4\sqrt{3}}} \\ \\ \boxed{\pm{\frac{1}{2}}}[/tex]

I am joyous to assist you at any time.

ANSWER QUICK PLS!!! LOTS OF POINTS!!!

Answers

Answer:

x = 8

Step-by-step explanation:

∠M = ∠K7x - 4 = 5x + 122x = 16x = 8

Answer:

x = 8

m∠M = 52°

m∠K = 52°

m∠L = 128°

m∠J = 128°

Step-by-step explanation:

If the given shape is a parallelogram, its opposite interior angles are equal.

⇒ m∠M = m∠K

⇒ 7x - 4 = 5x + 12

Subtract 5x from both sides:

⇒ 2x - 4 = 12

Add 4 to both sides:

⇒ 2x = 16

Divide both sides by 2:

⇒ x = 8

Substitute found value of x into the expressions for each angle to find the measures of the angles:

⇒ m∠M = 7(8) - 4 = 52°

⇒ m∠K = 5(8) + 12 = 52°

As the angles on the same side of the transversal in a parallelogram sum to 180°, then

⇒ m∠J + m∠M = 180°

⇒ m∠J = 180° - m∠M

⇒ m∠J = 180° - 52°

⇒ m∠J = 128°

As m∠L = m∠J  then m∠L = 128°

OMG IM SO SORRY BUT I SERIOUSLY NEED HELP

Answers

Answer:

C

Step-by-step explanation:

The answer is C because if you look at the shape carefully, there are two shapes. The measurements for the shape going up and down is (6 x 2 x 4) and the measurements for the shape going from left to right is (8 x 4 x 2).

I wasn't entirely sure how to explain this but I really hope this helps!

Answer:

A and C

those are the two ways to find surface area on that shape without overlap

Failing to reject a false null hypothesis is classified as a.

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Answer:

it classified as a

error.

Step-by-step explanation:

I need help finding the area of a triangle!
Here is a picture i have to find the area of triangle ABC

Answers

Answer: B

Step-by-step explanation:

An equation is shown.
3m • 3 = 3-2

What are the possible values for m and n?

Answers

Answer:

n=3m+5

n−2m=3

\hboxsubstitute3m+5forninthesecondequation:

3m+5−2m=3

m+5=3

m=3−5

m=−2

n=3m+5

n=3×(−2)+5

n=−6+5

n=−1

(m,n)=(−2,−1)

The answer is C.

Please help me graph the points with this please and thank you

Answers

Answer:
Hope this helps <3

Step-by-step explanation:

(I color coded them and named them for you so that you wouldn’t have trouble with finding the points <3)

A cube has a lateral area of 676 square feet. what is the side length of the cube? 4.3 feet 6.5 feet 10.6 feet 13 feet

Answers

The side length of the cube is 13 feet.

We have given that

Lateral area of a cube = 676 square feet

We have to determine the side length of the cube

So here we use the formula of the lateral surface area of the cube.

What is the formula for Lateral surface area?

[tex]L=4side^2[/tex]

L=676,and side =a

[tex]676=4a^2[/tex]

divide both side by 4

[tex]\frac{676}{4}=a^2[/tex]

[tex]169=a^2[/tex]

Taking square root on both side of equation we will get

[tex]13=a[/tex]

Therefore, Side length of the cube is 13 feet.

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Answer:

13

Step-by-step explanation:

What is a formula for the nth term of the given sequence?
16,8, 4...

Answers

Answer:

Answer:divide by 2Step-by-step explanation:16 divide by 2 =8 divide

Step-by-step explanation:

Miras kitchen sink holds up to 103.468 liters of water. Round this amount to the nearest liter

Answers

Answer:

103

Step-by-step explanation:

To find the nearest liter look at the 4th digit in the actual number, 103.468. Since the value of 4 is less than 5 you'll round down to 0 making the nearest liter 103.

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