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2 years ago

The question is on the imageby the way the 20cm is meant to be 15cm

Mathematics

1 answer:

Volgvan2 years ago

8 0

Answer:

2.36 liters

Step-by-step explanation:

The volume Janet wants is 1/3 of 1/2 of the volume of a sphere with radius 15 cm. The formula for the volume of a sphere is given.

<h3>Application</h3>

The water volume is ...

V = (1/3)(1/2)(4/3π)(15 cm)³ = 750π cm³ ≈ 2356 cm³

There are 1000 cm³ in 1 liter, so Janet needs about ...

2356 cm³/(1000 cm³/L) = 2.356 L

Janet should put about 2.36 liters of water in the fish tank.

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Solve this <img src="https://tex.z-dn.net/?f=4%5Cleft%285x-2%5Cright%29%3D2%5Cleft%289x%2B3%5Cright%29" id="TexFormula1" ti

vampirchik [111]

Answer:

Solution of equation ( x ) = 7

Step-by-step explanation:

In this question we have given with an equation that is 4 ( 5x - 2 ) = 2 ( 9x + 3 ). And we are asked to solve this equation that means we have to find the value of x.

Solution : -

 $\quad \longrightarrow \: 4 ( 5x - 2 ) = 2 ( 9x + 3 )$ 

Step 1 : Removing parenthesis :

$\quad \longrightarrow \:20x - 8 = 18x + 6$

Step 2 : Adding 8 from both sides :

$\quad \longrightarrow \:20x - \cancel{ 8 }+ \cancel{8} = 18x + 6 + 8$

On further calculations we get :

$\quad \longrightarrow \:20x = 18x + 14$

Step 3 : Subtracting 18 from both sides :

$\quad \longrightarrow \:20x - 18x = \cancel{18x }+ 14 - \cancel{18}$

On further calculations we get :

$\quad \longrightarrow \:2x = 14$

Step 4 : Dividing with 2 on both sides :

$\quad \longrightarrow \: \frac{ \cancel{ 2}x}{ \cancel{2}} = \cancel{\frac{14}{2} }$

On further calculations we get :

$\quad \longrightarrow \: \blue{\boxed{ \frak{x = 7}}}$

Therefore, solution of this equation is 7 or we can say that value of this equation is 7 .

Verifying : -

We are verifying our answer by substituting value of x in given equation. So ,

4 ( 5x - 2 ) = 2 ( 9x + 3 )

4 [ 5 ( 7 ) - 2 ] = 2 [ 9 ( 7 ) + 3 ]

4 ( 35 - 2 ) = 2 ( 63 + 3 )

4 ( 33 ) = 2 ( 66 )

132 = 132

L.H.S = R.H.S

Hence, Verified.

Therefore, our value for x is correct .

<h2>#Keep Learning</h2>

4 0

2 years ago

Read 2 more answers

David needs 36 gallons of punch for a party and has two different coolers to carry it in. the bigger cooler is 5 times as large

serg [7]

The little cooler can contain = 6 gallons.

The large cooler can contain is = 30 gallons.

<h3>What is volume surface area?</h3>

Any particular object's surface area is the space that the object's surface takes up. Volume, however, refers to the quantity of space a thing has. Different shapes and sizes exist in geometry, including spheres, cubes, cuboid shapes, cones, and cylinders, among others. Both the surface area and the volume are unique to each shape.

<h3>According to the given information:</h3>

The number of gallons that a small cooler can hold is: x gallons.

and a larger cooler can hold: 5x the number of gallons.

(Because it was noted:

In comparison to the smaller cooler, the larger cooler is five times bigger.

Additionally, a party requires 36 gallons of punch in total.

The result is:

x+5x=36

i.e. 6x=36

Divide both sides by 6, and the result is:

x=6

In light of this, the little cooler can contain 6 gallons.

and how many gallons the large cooler can contain is: 5 x 6 = 30 gallons.

To know more about volume surface area visit:

brainly.com/question/12446369

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6 0

2 years ago

Bob and Doug are both 100-meter sprinters. Bob's sprint time is normally distributed with a mean of 10.00 seconds and Doug's spr

alexdok [17]

Answer:

The standard deviation (σ) = 0.05

Step-by-step explanation:

The question is to find the standard deviation.

STEEP 1: FIND THE MEAN

(10+9.9) ÷ 2 = 9.95

STEP 2: SQUARE THE DIFFERENCE BETWEEN SPRINT TIME AND MEAN

10-9.95= 0.05

0.05^2 = 0.0025

9.9 - 9.95= -0.0025

-0.0025^2 = 0.0025

STEP 3: FIND THE VARIANCE

0.0025+0.0025= 0.005

0.005/2= 0.0025

STEP 4: FIND THE STANDARD DEVIATION (σ )

√variance

√0.0025 = 0.05

Therefore

σ = 0.05.

From the standard deviation, the percentage probability of the higher value to occurs is

0.05×100= 5%

That means Doug has 95%

And Bob has 5%

3 0

3 years ago

Describe the following graph. Use terms

timama [110]

I think it’s non-linear

3 0

3 years ago

The Pacific halibut fishery has been modeled by the differential equation dy dt = ky 1 − y K where y(t) is the biomass (the tota

Dafna1 [17]

Answer:

a. The biomass weighs 2.30 * 10^7 kg after a year

b. It'll take 2.56 years to get to 4*10^7kg

Step-by-step explanation:

k = 0.78,K = 6E7 kg

Given

dy/dt = ky(1- y/K)

Make ky dt the subject of formula

ky dt = dy/(1-y/K) --- make k dt the subject of formula

k dt = dy/(y(1-y/K))

k dt = K dy / y(K-y)

k dt = ((1/y) + (1/(K-y)))dy ---- integrate both sides

kt + c = ln(y/(K-y))

Ce^(kt) = y/(K-y)

Substitute the values of k and K

Ce^(0.78t) = y/(6*10^7 - y) ----- (1)

Given that y(0) = 2 * 10^7kg

(1) becomes

Ce^(0.78*0) = (2 * 10^7)/(6*10^7 - 2*10^7)

Ce° = (2*10^7)/(4*10^7

C = 2/7

Substitute 2/7 for C in (1)

2/7e^0.78t = y/(6*10^7 - y) ---(2)

We're to find the biomass a year later

So, t = 1

2/7e^0.78 = y/(6*10^7 - y)

0.62 = y/(6*10^7 - y)

y = 0.62(6*10^7 - y)

y = 0.62*6*10^7 - 0.62y

y + 0.62y = 0.62*6*10^7

1.62y = 0.62*6*10^7

1.62y = 3.72 * 10^7

y = 2.30 * 10^7kg.

Hence, the biomass weighs 2.30 * 10^7 kg after a year

Here, we're to calculate the time it'll take the biomass to get to 4*10^7 kg

Substitute 4*10^7 for y in (2)

2/7e^0.78t = 4*10^7/(6*10^7 - 4*10^7)

2/7e^0.78t = 4*10^7/2*10^7

2/7e^0.78t = 2

e^0.78t = (2*7)/2

e^0.78t = 2

t = 2 * 1/0.78

t = 2.56 years

Hence, it'll take 2.56 years to get to 4*10^7kg

8 0

3 years ago

The question is on the imageby the way the 20cm is meant to be 15cm​

The question is on the imageby the way the 20cm is meant to be 15cm