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nirvana33 [79]
3 years ago
9

A fish tank that holds 80 gallons of water is 55% full. How many gallons are in the tank now? How many more gallons are needed t

o fill the tank?
Mathematics
1 answer:
nevsk [136]3 years ago
8 0

Answer:

31.6

Step-by-step explanation:

80 * .55 = 48.4 (Current amount of water)

80 - 48.4 = 31.6 (Needed amount of water)

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How do i put -2 + 5 on a number line and what is the answer.
iris [78.8K]
The answer is three. i think you know where three is located in a number line
7 0
3 years ago
What is the inverse of this function? (Function in photo)
valkas [14]

Given:

The function is

f(x)=-\dfrac{1}{2}\sqrt{x+3},x\geq -3

To find:

The inverse of the given function.

Solution:

We have,

f(x)=-\dfrac{1}{2}\sqrt{x+3}

Put f(x)=y.

y=-\dfrac{1}{2}\sqrt{x+3}

Interchange x and y.

x=-\dfrac{1}{2}\sqrt{y+3}

Isolate the variable y.

-2x=\sqrt{y+3}

(-2x)^2=y+3

4x^2-3=y

y=4x^2-3

Putting y=f^{-1}(x), we get

f^{-1}(x)=4x^2-3

For x\geq -3,

x+3\geq 0

\sqrt{x+3}\geq 0

-\dfrac{1}{2}\sqrt{x+3}\leq 0

f(x)\leq 0

It means for function f(x)\leq 0 and for inverse function x\leq 0 because the range of the function is the domain of inverse function.

Therefore, f^{-1}(x)=4x^2-3 for x\leq 0.

3 0
3 years ago
The answer I got was C
defon

Answer:

it is correct

Step-by-step explanation:

8 0
3 years ago
Find the surface area of the composite figure. 4 cm 3 cm 5 cm 3 cm 4 cm 5 cm 6 cm 4 cm If you'd like, SA = [ ? ] cm2 you can use
IrinaVladis [17]

The surface area of the composite figure is 144 square cm after calculating separately.

<h3>What is a triangular prism?</h3>

When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is the name given to this novel 3D object.

We have a composite figure made up of a triangular prism and a cuboid

First we calculate the surface area of the triangular prism:

= 2(area of one triangle) + area of three rectangles

= 2[(1/2)6×4] + 3×5 + 3×5

= 24 + 15 + 15

= 54 square cm

Surface area of rectangle(with three faces) = 2(4×3 + 4×6) + 3×6

= 2(12 + 24) + 18

= 72 + 18 = 90 square cm

Total surface area of figure = 54+ 90 = 144 square cm

Thus, the surface area of the composite figure is 144 square cm after calculating separately.

Learn more about triangular prisms here:

brainly.com/question/16909441

#SPJ1

7 0
2 years ago
Identify the domain of the function shown in the graph
andrew11 [14]

Answer:

C. -5\le x\le 5.

Step-by-step explanation:

The domain of the function refers to the values of x for which the function is defined.

We can see from the graph that, the function is defined within the interval,

-5\le x\le 5.

When we trace any x-value outside this interval, either up or down we will not meet the function.

Hence, the domain is  -5\le x\le 5.

8 0
4 years ago
Read 2 more answers
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