Such is biger 4/8 or 4/6

What is the equation of line JK in standard form?

natali 33 [55]

You need a little more information. Take a picture of the oroblem

3 0

2 years ago

cylindrical vase holds 8,038.4 cubic centimeters of water. The height of the vase is 40 centimeters. What is the length of the r

iragen [17]

The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

Step-by-step explanation:

The given is,

Volume of cylindrical vase = 8038.4 cubic centimeters

Height of the cylindrical vase = 40 centimeters

Step:1

Formula for volume of cylindrical vase,

$Volume, V=\pi r^{2} h$ ......................(1)

Where, r - Radius of cylindrical vase

h - Height of cylindrical vase

From the given,

V = 8038.4 cubic centimeters

h = 40 centimeters

Equation (1) becomes,

8038.4 $= \pi r^{2} 40$

$=(3.14)(40)r^{2}$ (∵ $\pi$ = 3.14 )

$8038.4 = 125.6 r^{2}$

$r^{2} = \frac{8038.4}{125.6}$

$r =\sqrt{64}$

r = 8 centimeters

Result:

The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

7 0

3 years ago

Suppose that the quantity supplied S and quantity demanded D of T-shirts at a concert are given by the following functions wher

harkovskaia [24]

Answer:

Step-by-step explanation:

The demand function is expressed as

D(p )=1150-50p

The supply function is expressed as S(p)=−200 + 40p

Where

p represents the price

A) The equilibrium price is the price at which the quantity supplied and the quantity demanded would be equal. Therefore

1150 - 50p = - 200 + 40p

40p + 50p = 1150 + 200

90p = 1350

p = 1350/90

p = 15

The equilibrium price is $15

b) For quantity demanded to be greater than quantity supplied, the price would be

1150 - 50p > - 200 + 40p

40p + 50p > 1150 + 200

90p > 1350

p > 1350/90

p > 15

The price would be greater than 15

c) if the quantity demanded is greater than the quantity supplied, the prices of the T shirt would increase.

7 0

2 years ago

Allison earns $14 an hour plus $20 an hour for every hour of overtime. Overtime hours are any hours more than 35 hours for the w

Ronch [10]

Part a) Create an equation that shows the amount of money earned, E, for working x hours in a week when there is no overtime

Let

E-------> the amount of money earned

x------> number of hours worked

we know that

For $x\leq35$

$E=14x$

therefore

the answer part a) is

$E=14x$

Part b) Create an equation that shows the amount of wages earned, T, for working y hours of overtime

Let

T-------> the amount of money earned

y------> number of hours of overtime

we know that

$T=14*35+20y$

$T=\$490+20y$

therefore

the answer part b) is

$T=\$490+20y$

Part c) Allison earned $610 in 1 week. How many hours (regular plus overtime) did she work?

we know that

$35\ hours=\$490$

$\$610-\$490=\$120$

Divide $\$120$ by $\$20$ ----> to obtain the hours of overtime

$\frac{120}{20}=6\ hours\ of\ overtime$

So

Allison works

$35+6=41\ hours$

$Regular=35\ hours\\ Overtime=6\ hours$

therefore

the answer part c) is

$Regular=35\ hours\\ Overtime=6\ hours$

4 0

3 years ago

If 3 to the power of k+3 minus 3 to the power of k equals m, what is 3 to the power of k+2 in terms of m?

Sergeu [11.5K]

Answer:

3^(k+2) = 9m/ 26

Step-by-step explanation:

Let 3^k = y :

y×3^3-y = m

26y = m

26×3^k = m

3^(k+2) = m/26×3^2

Therefore 3^(k+2) = 9m/26

8 0

3 years ago