T is directly proportional to
[tex] \sqrt{x} [/tex]
T=400 when x = 625
(a) Find a formula for T in terms of x.​
pls help i need it urgently Pls pls pls

Answers

Answer 1

Answer:

(a) T = 16√x

Step-by-step explanation:

T is directly proportional to √x, so we can say,

T=k√x (where k is a constant)

now, according to the question,

400=k×√625

400=k×25

k=16

so, putting the value of k in the equation, T=16√x

Answered by GAUTHMATH

Answer 2

Step-by-step explanation:

Given that ,

T is directly proportional to √x .

Mathematically we can write it as ,

[tex]\implies T \propto \sqrt{x}[/tex]

Let k be the constant , therefore ,

[tex]\implies T = kx [/tex]

Now when T = 400 and x = 625 , lets find the value of k , as ,

[tex]\implies 400 = k\times 625 \\\\\implies k =\dfrac{400}{625}\\\\\implies k= 0.64 [/tex]

Therefore the required formula will be ,

[tex]\implies \underline{\underline{ T = 0.64x}} [/tex]


Related Questions

Natalie and Lexi are recycling aluminum cans to earn money for camp. Natalie's barrel of cans weighs 115 lb., and Lexi's barrel of cans weighs 98 lb. If the barrels each weigh 8 lb. when empty, how many pounds of cans have they collected?

Answers

Answer:

197 pounds of cans

Step-by-step explanation:

Find how many pounds of cans they have collected by subtracting 8 from both of their barrel weights:

115 - 8

= 107

98 - 8

= 90

Add these two weights together:

107 + 90

= 197

So, they collected 197 pounds of cans

Can someone help thanks.

Answers

Answer:

1/144

Step-by-step explanation: I presume..

And recall something from Algebra...

I hope it helps...

Square it

And reverse it because of the negative

It is a fraction

Answer:

[tex] = { \sf{ \frac{1}{ 144 } }}[/tex]

Step-by-step explanation:

[tex] = { \tt{ \frac{1}{ {12}^{2} } }} = \frac{1}{144} [/tex]

The triangular prism has a length of 40 centimeters, an end base of 5 centimeters, and an end height of 7 centimeters. What is the volume of this prism?

Answers

Step-by-step explanation:

volume of triangular prism= area of cross section *length

volume of triangular prism= area of cross section *lengthv=(1/2bh)l

volume of triangular prism= area of cross section *lengthv=(1/2bh)lv=?,b=5,h=40

volume of triangular prism= area of cross section *lengthv=(1/2bh)lv=?,b=5,h=40 =(1/2*5*7)40

volume of triangular prism= area of cross section *lengthv=(1/2bh)lv=?,b=5,h=40 =(1/2*5*7)40 =(35/2)40

=17.5*40

=700cm³

The volume of triangular prism is 700cm³

Answer:

The volume of triangular prism=700cm^3

Step-by-step explanation:

Good luck

-Sweety<3

please help me !! :)

Answers

Answer:

A

because x is the horizontal axis and it is moved forward by two because of the addition of 2

Simplify:

5x+2(3−2x)+7


x + 13

12x

9x + 13

Answers

Answer:

x+13

Step-by-step explanation:

The answer would be 1 or uh.. x+13

what make you happy in your life

Answers

Answer:

Everything that I get make me happy in my life such loving families who support me is the best my friends who help me in any situation. And most important is teacher who teach me and is helping me to become a successful person.

Does Anybody Know The Answer?

Answers

Yes. When a graph has more than one line it is a piece wise graph.

4. Which of the following is an algebra tiles representation of 3x - 2 = -5?

Answers

Answer:

Equation

ans = -1

Step-by-step explanation:

3x-2=-5

3x=-5+2

3x=-3

x=-3/3

x=-1

How do you solve a quadratic equation by factoring

Answers

If were you, i will use trial and error to make it easier :)) [if the number is small,you can use trial and error, but if a big number use quadratic eq. Or divide the big num. to get smaller num.]

the perimeter of a city rectangular park is 1428 feet. the length is 78 feet more than twice the width. Find the length and width of the park

Answers

Length = 502 ft
Width = 212 ft
Step-by-step explanation:
Recall the formula for the perimeter of a rectangle of length "L" and width "W":
Perimeter = 2 L + 2 W = 1428 ft
Now, since the length is 78 ft more than twice the width, then we can write this in mathematical form as:
L = 2 W +78
so, 2 W = L -7 8
and now replace "2 W" with it equivalent "L - 78" in the first perimeter equation and solve for "L":
2 L + L - 78 = 1428
3 L = 1428 + 78
3 L = 1506
L = 1506/3
L = 502 ft
Then the width W can be obtained via:
2 W = L - 78
2 w = 502 -78
2 W = 424
w = 212 ft

cos²x-√3sinxcosx = 0

Answers

Answer:

x= п/2+пn; nE Z    

x= п/6+пn; nEZ

Step-by-step explanation:

(cosx)^2- √3sinxcosx=0

Factorise it

cosx(cosx-√3sinx)=0

cosx=0                     or                      cosx=√3sinx

x= п/2+пn; nE Z                                 cosx/cosx= √3sinx/cosx

                                                          1/√3= tgx

                                                           x= arctg 1/√3+пn; nE Z

                                                            x= п/6+пn; nEZ

The answer is x= п/2+пn; nE Z    

x= п/6+пn; nEZ

Find the measure of

Answers

Answer:

<L is 90°

Step-by-step explanation:

all angles at the center are twice the angles at the circumference and the angle at the center is 180 meaning the angle at the circumference will be half of 180

I hope this helps

factorize. xy^2-y(x-z) -z​

Answers

Answer:

The equation x The equation x 2The equation x 2 +xy+xz+yz can be factorised as follows:The equation x 2 +xy+xz+yz can be factorised as follows:x The equation x 2 +xy+xz+yz can be factorised as follows:x 2The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2 +xy)+(xz+yz)=x(x+y)+z(x+y)=(x+z)(x+y)The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2 +xy)+(xz+yz)=x(x+y)+z(x+y)=(x+z)(x+y)Hence, x The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2 +xy)+(xz+yz)=x(x+y)+z(x+y)=(x+z)(x+y)Hence, x 2The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2 +xy)+(xz+yz)=x(x+y)+z(x+y)=(x+z)(x+y)Hence, x 2 +xy+xz+yz=(x+z)(x+y)

Answer:

= (y-1) (xy-z)

Step-by-step explanation:

First we expand them -

= xy^2 - xy - yz - z

= xy(y-1)-z(y-1)

= (y-1) (xy-z)

Hope this helped

ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!

Answers

b, y=1/4x since the rise/run is 1/4

There are 5 cocoa pods in a bag.
The mean weight of the 5 cocoa pods is 398 grams.
A sixth cocoa pod is put into the bag.
The mean weight of the 6 cocoa pods is 401 grams.
Work out the weight of the sixth cocoa pod that is put into the bag

Answers

Answer:

416 g

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex] , then

[tex]\frac{sum}{5}[/tex] = 398 ( multiply both sides by 5 )

sum of 5 pods = 1990 g

let x be the weight of the sixth pod , then

[tex]\frac{1990+x}{6}[/tex] = 401 ( multiply both sides by 6 )

1990 + x = 2406 ( subtract 1990 from both sides )

x = 416

That is the weight of the sixth pod is 416 g

5(15-7y/3)+2y=-4
solve for y and plz show steps​

Answers

Answer:

75 - 35y / 3 + 2y = -4

( 75 - 35y + 6y ) / 3 = -4 [ Taking LCM ]

( 75 - 29y ) / 3 = -4

75 - 29y = -12

29y = 75+12

29y = 87

y = 3

hope that helps ✌

The total cost of a watch and a radio is Rs 500. If the watch is cheaper than the Equations radio by Rs 150, find their cost.​

Answers

Answer:

the watch is Rs 175

the radio is Rs 325

Step-by-step explanation:

x = price of the watch

y = price of the radio

x+y = 500

x + 150 = y

=>

x + (x+150) = 500

2x + 150 = 500

2x = 350

x = 175

=>

y = 175 + 150 = 325

In an input/output table, all outputs are 0, regardless of the input. What could the function equation be? Select all that apply.

y = 0 x
y = x
y = x/0
y = 0/x

Answers

Answers:

choice A)   y = 0x

choice D)  y = 0/x

========================================================

Explanation:

Choice A is the same as y = 0 because 0x turns into 0. Multiplying 0 with any number always leads to 0.

Similarly, choice D is the same as y = 0 as well. Dividing 0 over any nonzero value leads to 0. Note the key term "nonzero" here. We cannot have 0 in the denominator. So x = 0 is not allowed for choice D.

So for any nonzero x, we have 0x and 0/x result in the same thing.

-----------

Extra info:

Choice B can be ruled out because something like x = 2 leads to y = 2.

Choice C is ruled out because we can never have 0 in the denominator.

Ellie wants to double her savings
of $5000 by investing her money
for 20 years.
What interest rate does
she need to look for?
Give your answer to 1 d.p.

Answers

Answer:

She will get more money than what she will get in the question

Evaluate each expression when a = 3, b = 12, c = 4.
1) Зас

Answers

Answer:

36

Step-by-step explanation:

Зас

Let a =3 and c = 4

3*3*4

9*4

36

Pippa had 35 stickers. She gave an equal number of stickers to 8 friends. She gave each friend as many stickers as possible and kept the rest for herself. How many stickers did Pippa keep for herself? What is the misconception which might lead some to select D) 27 A) 3 B) 4 C) 11 D) 27

Answers

Answer:

The answer is (A), Pipa kept 3 stickers to herself

Step-by-step explanation:

Multiply. Write your answer in scientific notation

Answers

Answer:

3×3×10^5×10^2

9×10^5-2

9×10³

Question 3 of 10
Select the action you would use to solve 3x = 12. Then select the property
that justifies that action
Select all that apply.
A. Action: Add 3 to both sides.
B. Action: Multiply both sides by 3.
C. Action: Divide both sides by 3
D. Property. Addition property of equality
E. Property: Multiplication property of equality
DF Property Division property of equality

Answers

Answer:

C. Divide both sides by 3

Step-by-step explanation:

3x=12

3x/3=12/3

x=4

Please help explanation if possible

Answers

Answer:  2 goes in the box

The solid boundary line equation is y = 2. The shaded region consists of this line and everything below it, which is describing [tex]y \le 2[/tex]. So y can be 2 or it can be smaller than 2.

pls answer pls pls pls​

Answers

= 3×4+3×3-5×2/12

=12+9-10/12

=21-10/12

=11/12

Intuitively, does it make sense that all circles are similar? Why or why not?

Answers

Answer with explanation:

Yes, each point on a circle is a fixed distance from the center of the circle. This is called the radius of the circle. By definition, all radii of a circle are equal.

Similar polygons have corresponding sides in similar proportion. Regardless of how large a circle is, each point on the circle will still be a fixed distance away from center of the circle. Therefore, the radii are in a constant proportional and all circles are similar.

Could someone plz help ^w^ thank you!

Answers

Answer:

The first one:)

Step-by-step explanation:

REMEMBER TO:

1. Give me Brainliest, please... (ASAP)

2. HAVE A WONDERFUL DAY!

Answer:

12 - 7 = 5

Step-by-step explanation:

√4x+9 = 1-√2 giải phương trình

Answers

Step-by-step explanation:

here's the answer to your question

Answer:

x = -4.7

Step-by-step explanation:

√4x+9 = 1-√2

2x + 9 = 1 - √2

2x = -8 - √2

2x / 2 =  -8 - √2 / 2

x = -4.7

I need this question

Answers

Can you translate cuss I can’t understand sorry

Todd is putting new oak baseboard trim in his living room. He has one piece that is 12 1/2 ft long and another that is 8 2/3 ft long. How much trim does he have total?​

Answers

Answer:

21 1/6 ft

Step-by-step explanation:

Add the lengths together

12 1/2 + 8 2/3

Get a common denominator of 6

12 1/2 *3/3  + 8 2/3 *2/2

12 3/6 + 8 4/6

20 7/6

20 +6/6+1/6

21 1/6

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