The time required to empty a tank varies as inversely as the rate of pumping. If a pump can empty a tank in 45 min at the rate of 600 kl/min, how long will it take the pump to empty the same tank at the rate of 1000 kl/min?

Answer:

19/15

Step-by-step explanation:

We need to find the difference, so subtraction. But first we should make them improper fractions:

(18/5)-(7/3)

Lets make the common denominator 15:

(54/15)-(35/15)

54-35= 19

19/15

Answer: $59.5

170/100 * 85 = 144.5

144.5 - 85 = 59.5

If that is wrong my next guess is $144.50

Answer:

True

Step-by-step explanation:

Lines with the same slope and different y-intercepts are considered parallel. As they extend forever, the lines will never intersect.

Answer:

[tex]2^{7} -9(4*4+4)[/tex]

Step-by-step explanation:

Answer:

h = 12t

Step-by-step explanation:

Its given that x = 3t.

Also its given that h = 4x

Substituting the value of x gives =

h = 4(3t) = 4 × 3t = 12t

Answer:

10

Step-by-step explanation:

The required value of s to minimize the surface area of the prism is given as 10.

A triangular prism has 2 triangles as their top and bottom and three other faces as rectangles. The volume of the prism is given as the product of its height and base area.

The given problem can be solved as follows,

The expression for the volume of the prism is given as,

V = √3/4 × s²h

Substitute V = 250 to obtain,

250 = √3/4 × s²h

⇒ s²h = 1000/√3                       (1)

And, the expression for the surface area is given by,

A = 3 × sh +  √3/4s²

Substitute h = 1000/(√3s²) in the above equation to obtain,

A = 1000√3/s + √3/4s²

In order to get the minimum area differentiate A with respect to s and equate it to zero to get,

dA/ds = 0

⇒ √3/2s - 500√3/s² = 0

⇒ s = 10

Hence, in order to minimize the area the the value of s is obtained as 10.

To know more about triangular prism click on,

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Answer:

you didn’t provide a question

Step-by-step explanation:

Answer:2.8383838e+17

Step-by-step explanation:

Answer:

2.8383838e+17

Step-by-step explanation:

283838383838382828 + 838383838=2.8383838e+17

9514 1404 393

Answer:

  0

Step-by-step explanation:

0 to any positive power is 0.

  0^4 = 0×0×0×0 = 0

Answer:

It would take the apprentice 14 hours to make the fireplace on his own.

Step-by-step explanation:

Let x represent the hours it takes the bricklayer to make a fireplace on his own and x + 10 represent the hours it takes the bricklayer's apprentice to make a fireplace on his own.

7/(x + 10) + 2/x = 1

7/(x+10) represents the fraction of the fireplace the bricklayer's apprentice made (total amount of time the bricklayer's apprentice worked on the fireplace/time it takes the bricklayer's apprentice to make a fire place on his own) while 2/x represents the fraction of the fireplace the bricklayer made (total amount of time the bricklayer worked on the fireplace/time it takes the bricklayer to make a fire place on his own). The 1 on the right side of the equation represents the number of fireplaces they made in that time.

Multiply both sides of the equation by x(x + 10) to get rid of the denominators:

x(x + 10)[7/(x + 10) + 2/x] = x(x + 10)1

x(x + 10)[7/(x + 10)] + x(x + 10)(2/x) = x(x + 10)

7x + 2(x + 10) = x² + 10x

7x + 2x + 20 = x² + 10x

Gather all the terms to one side of the equation:

x² + 10x - 7x - 2x - 20 = 0

x² + x - 20 = 0

Factoring the simplified equation:

(x + 5)(x - 4) = 0

Solving for each factor:

When x + 5 = 0,

x = -5

When x - 4 = 0,

x = 4

Since a negative solution wouldn't make sense for this question, it would take the bricklayer 4 hours to complete the fireplace on his own.

Substituting x = 4 into x + 10 to find out how long it would take the apprentice to make the fireplace on his own:

x + 10 = 4 + 10 = 14

Therefore, it would take the apprentice 14 hours to make the fireplace on his own.

Step-by-step explanation:

The picture shows us that the shape is a square.

To find the area of a square you would use the formula s^2

s= 8ft

8ft^2 = 64ft^2

with area you would need to use the unit ft^2

I hope this helps!!!

Answer: DDDDDDD

Step-by-step explanation: The formula is width x height, so we can use the expression 8 x 8 assuming this is perfectly square. 8 x 8 is 64 square units

Answer:

y=1/2x-2

Step-by-step explanation:

RIse / run

find a point then go up one and right two to the next point which gives you 1/2

the y intercept is -2 because thats where the line is interceting

Answer:

18

Step-by-step explanation:

Answer:

y=5x-5

Step-by-step explanation:

find y-intercept:

0=1(5)+b

b=-5

Answer:

y = 5x - 5

Step-by-step explanation:

y = mx + b

m = 5

b = ?

Plug in the coordinates

0 = 5(1) + b

0 = 5 + b

-5 = b

Finally:

y = 5x - 5

Answer:

side of black is 7

side of green is 14

Dilation scale factor is 2

hope this helps :)

please mark branliest

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

To find the scale factor of a dilation, we first have to find two corresponding sides. For example, the top edge of the black shape corresponds with the top edge of the green shape. The length on the black shape measures 7 units and the length on the green shape measures 14 units.

Now, we divide the length taken from the figure by the length taken from the original shape.

14/7=2

Therefore, the scale factor of the dilation is 2.

I hope this helps!

Answer:

undefined

Step-by-step explanation:

Step-by-step explanation:

❁ [tex] \underline{ \underline{ \text{Given} }}: [/tex]

❁ [tex] \underline{ \underline{ \text{ \: To \: find}}}: [/tex]

✑ [tex] \underline{ \underline{ \text{Solution}}} : [/tex]

[tex] \boxed{ \underline{ \sf{Momentum \: = \: mass \: \times \: velocity}}}[/tex]

plug the known values :

⟹ [tex] \sf{Momentum = 4.0 \: kg \: \times \: 2.0 \:m/s } [/tex]

⟹ [tex] \sf{Momentum = 8 \: kg \: m/s}[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer : \bold{ \underline{8} }\: kg*m/s}}}}[/tex]

⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆

✑ [tex] \underline{ \underline{ \text{Learn \: more about \: momentum}}}: [/tex]

Imagine that a car and a truck both have the same speed on the road. Which one can stop easily ? Of course , it is hard to stop the truck relative to the car. The reason is that the car and the truck have the same speed bit different masses. Thus , we can say that to stop a heavier body is harder than to stop a lighter one even both of them have the same speed.

If two tennis balls are hit towards you in different velocities , it is not equally easier to stop them. The ball in more velocity is difficult to stop relatively. Thus , we can say that to stop a body in more velocity is harder than to stop a body with less velocity , eventhough they have the same speed.

The physical quantity that describes the quantity of motion of a body is called momentum. The momentum of a moving body or linear momentum is defined as the product of mass & velocity of a moving body.

Mathematically ,

Momentum = mass × velocity

i.e p = m × v

The SI unit of momentum is kg • m/s. Since velocity is a vector quantity and multiplied with mass ( scalar quantity) , momentum becomes a vector quantity. Direction of momentum is the same as velocity.

Hope I helped ! ♡

Have a wonderful day / night ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer: It’s angle measures

Step-by-step explanation: iready

Answer:

The first five terms are -1,4,9,14 and 19.

Step-by-step explanation:

The arithmetic sequence is :

[tex]T_n=5n-6[/tex]

We need to find the first five terms of the sequence.

Put n = 1 for first term.

[tex]T_1=5(1)-6=-1[/tex]

Put n = 2 for second term.

[tex]T_2=5(2)-6=\\\\=10-6\\\\=4[/tex]

Put n = 3 for third term.

[tex]T_3=5(3)-6=\\\\=15-6\\\\=9[/tex]

Put n = 4 for fourth term.

[tex]T_4=5(4)-6=\\\\=20-6\\\\=14[/tex]

Put n = 5 for fifth term.

[tex]T_3=5(5)-6=\\\\=25-6\\\\=19[/tex]

Hence, the first five terms are -1,4,9,14 and 19.

Answer:7 3/5

Step-by-step explanation: 3 4/5 blueberries = 2 2/3 strawberries

                                               ? blueberries    =5 1/3 strawberries

do 3 4/5 times 5 1/3 which gives you 20 4/15.Now divide 20 4/15 by 2 2/3 which gives you 7 72/120 and you can simplify to 7 3/5.

Hope it helps  . :)

Answer:

I made this so you can give the other guy brainlyeist.

Step-by-step explanation:

Answer:

Multiply both sides by [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{5}x = 10[/tex]

Required

Get an equivalent of [tex]x = 25[/tex]

To do this, we simply multiply through by [tex]\frac{5}{2}[/tex]

[tex]\frac{5}{2} * \frac{2}{5}x = 10 * \frac{5}{2}[/tex]

[tex]\frac{5*2}{2*5} x = 10 * \frac{5}{2}[/tex]

[tex]\frac{10}{10} x = 10 * \frac{5}{2}[/tex]

[tex]\frac{1}{1} x = 10 * \frac{5}{2}[/tex]

[tex]x = 10 * \frac{5}{2}[/tex]

[tex]x =\frac{10*5}{2}[/tex]

[tex]x =\frac{50}{2}[/tex]

[tex]x = 25[/tex]

Complete Question

A person standing 213 feet from the base of a church observed the angle of elevation to the church's steeple to be 33 ∘. Find the height of the church

Answer:

138.3 ft

Step-by-step explanation:

We solve this question above using using the Trigonometric function of Tangent.

tan θ = Opposite/Adjacent

Where:

Opposite = Height of the church = x

Adjacent = Distance for the base of the church = 213ft

Angle of elevation θ = 33°

Hence:

tan 33 = x /213 ft

Cross Multiply

x = tan 33 × 213 ft

x = 138.32381735 ft

x = Opposite Approximately = 138.3 ft

Therefore, the height of the church = 138.3 ft

Answer:

15.58

Step-by-step explanation:

it is

Answer:

68.17m

Step-by-step explanation:

Please see attached a rough sketch of the scenario

Step one:

Given data

Height of victim= 4.5ft

The horizontal distance of the snipper from the building = 780ft

The angle of elevation= 5 degrees

Required

The vertical distance

The opposite= the vertical distance

789 ft = the adjacent

Step two:

Applying SOH CAH TOA

tan ∅= opp/adj

tan 5= opp/780

cross multiply we have

0.0874= opp/780

cross multiply we have

0.0874*780= opp

opp= 68.17m

The sniper shoots from a vertical distance of  68.17m

Answer:

12.5%

Step-by-step explanation:

[First Value – Second Value] ÷ [(First Value + Second Value) ÷ 2] × 100

[50 - 30] ÷ [ 50 + 30] ÷ 2 × 100

20 ÷ 80 ÷ 2 × 100

0.25 ÷ 2 × 100

0.125 × 100

12.5 %

Answer:

12.5%

!!!!!!!!