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Alexandra [31]
3 years ago
11

A tank is draining water such that the volume is given which an exponentially decreasing graph as shown in the graph below. If t

he volume was modeled with an equation of the form V=a(b)^t, where t is the number of hours then which of the following is the best value for b?
(1) b=20
(2) b=0.6
(3) b=2.8
(4) b=0.3
Mathematics
1 answer:
Anarel [89]3 years ago
3 0

Answer:

b = 0.3

Step-by-step explanation:

Given

V = ab^t

See attachment for graph

From the graph

V = 20 when t = 0

This implies that:

V = ab^t

20 = ab^0

20 = a * 1

20 = a

a = 20

Also:

V = 4 when t = 1.5

So:

4 = ab^{1.5

Substitute 20 for a

4 = 20 * b^{1.5

Divide by 20

0.2 =b^{1.5

b^{1.5} = 0.2

Take 1.5th root of both sides

b = 0.34199518933

b = 0.3 --- approximated

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A work shift for an employee at a restaurant consist of 10 hours. What fraction of employees work shift is represented by 8 hour
svp [43]

Answer:

4/5

Step-by-step explanation:

10:100=8:x

x= 100*8/10

x= 80   (80%)

80% = 80/100 = 8/10 = 4/5

4 0
3 years ago
What does it mean if u have a number in front of a square root?
netineya [11]
That means it's a surd
5 0
3 years ago
15 Pts + Brainliest for the best answer
34kurt

If T is the midpoint of SU, then ST ≅ TU.

Therefore we have the equation:

6x = 2x + 32       <em>subtract 2x from both sides</em>

4x = 32       <em>divide both sides by 4</em>

x = 8

ST = 6x → ST = 6(8) = 48

TU = ST, therefore ST = 48

SU = ST + TU = 2ST, therefore SU = 2(48) = 96

<h3>Answer: ST = 48, TU = 48, SU = 96</h3>
3 0
3 years ago
A glass paperweight has a composite shape: a square pyramid fitting exacty on top of an 8 centimeter cube. The pyramid has a hei
ArbitrLikvidat [17]

Answer:

Part 1) The volume of the paperweight is 576\ cm^{3}

Part 2) The total surface area of the paperweight is 400\ cm^{2}

Step-by-step explanation:

Part 1) what is the volume of the paperweight?

we know that

The volume of the paperweight is equal to the volume of the square pyramid plus the volume of the cube

step 1

Find the volume of the pyramid

The volume of the pyramid is equal to

V=\frac{1}{3}BH

where

B is the area of the square base

H is the height of the pyramid

B=8^{2}=64\ cm^{2}

H=3\ cm

substitute

V=\frac{1}{3}(64)(3)=64\ cm^{3}

step 2

Find the volume of the cube

The volume of the cube is equal to

V=b^{3}

V=8^{3}=512\ cm^{3}

step 3

Find the volume of the paperweight

64\ cm^{3}+512\ cm^{3}=576\ cm^{3}

Part 2) what is the total surface area of the paperweight?​

we know that

The total surface area of the paperweight is equal to the surface area of 5 faces of the cube plus the lateral area of the pyramid

step 1

Find the surface area of 5 faces of the cube

SA=5b^{2}

SA=5(8^{2})=320\ cm^{2}

step 2

Find the lateral area of the pyramid

LA=4[\frac{1}{2}bh]

LA=4[\frac{1}{2}(8)(5)]=80\ cm^{2}

step 3

Find the total surface area of the paperweight

320\ cm^{2}+80\ cm^{2}=400\ cm^{2}

8 0
3 years ago
Would I have to add all of them or multiply I can’t remember how to do it nor if I actually learned this.
nirvana33 [79]

Answer:

Multiply Length times Width times Height.

Step-by-step explanation:

sq root 24 x sq root 18 x sq root 8 = 58.78

5 0
3 years ago
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