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weeeeeb [17]
2 years ago
7

The functions fand g are defined as follows.

Mathematics
1 answer:
Rudik [331]2 years ago
5 0

Answer:

hi

Step-by-step explanation:

hi how are you doing?

You might be interested in
Liana is studying the activity of nurse sharks. She starts at a position that is 25 feet below sea level. She rises 9 feet, then
Reil [10]

Answer:

I believe the answer is -28

Step-by-step explanation

I gotchu bro

The answer is -28 because Liana starts at 25 below sea level (which is the same thing as -25) If she rises 9 feet, then you know to add because she is going up so your just gonna add. Next she descends 12 feet, so she went down, so subtract. So i know the answer is going to be -28 because -25+9 is -16, then imma subtract -16 and 12 so, -16 - 12= -28. There ye go

6 0
2 years ago
An aircraft factory manufactures airplane engines. The unit cost C (the cost in dollars to make each airplane engine) depends on
butalik [34]

Answer:

90 engines must be made to minimize the unit cost.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

f(x) = ax^{2} + bx + c

It's vertex is the point (x_{v}, y_{v})

In which

x_{v} = -\frac{b}{2a}

y_{v} = -\frac{\Delta}{4a}

Where

\Delta = b^2-4ac

If a>0, the minimum value of the function will happen for x = x_v

C(x)=x²-180x+20,482

This means that a = 1, b = -180, c = 20482

How many engines must be made to minimize the unit cost?

x value of the vertex. So

x_{v} = -\frac{b}{2a} = -\frac{-180}{2(1)} = 90

90 engines must be made to minimize the unit cost.

3 0
2 years ago
4. Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. The
a_sh-v [17]
4.) The lateral area of a figure is the area of the figure with the exception of the bases.
Given a prism with right triangle bases, the lateral area of the prism is the sum of the areas of the rectangles making up the prism.
This is given by
Lateral area = (8.94)(41) + (4)(41) + (8)(41) = 366.54 + 164 + 328 = 858.54 ≈ 859 m^2

The surface area is the sum of the bases plus the lateral area. The area of a rectangle is given by half base times height.
Surface area = 1/2 x 8 x 4 + 1/2 x 8 x 4 + 859 = 16 + 16 + 859 = 891 m^2

5.) The surface area of a cylinder is given by pi r^2h where r is the radius = 12 inches and h is the height = 17 inches.
Surface area = π x (12)^2 x 17 = 2,448π = 7,690.62 in^2 ≈ 7,691 in^2
3 0
2 years ago
81 as a mixed number simplified
Olegator [25]
the answer is 8 1/10.
3 0
3 years ago
What is the slope of the line through the points (2, 8) and (5, 7)?<br><br>3<br>- 1/3<br>-3<br>1/3​
cluponka [151]

Answer:

Option B

Step-by-step explanation:

In order to find the answer to this question you need to use the slope formula and solve by subtracting the numerator and the denominator.

slope=\frac{y^2-y1}{x^2-x^1}

x^1,x^2=(2,5)

y^2,y^1=(8,7)

Substitute:

\frac{8-7}{2-5}

Subtract:

8-7=1

2-5=-3

=\frac{-1}{3}

Hope this helps.

4 0
2 years ago
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