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2 years ago

What are the answers to these four questions

Mathematics

1 answer:

Diano4ka-milaya [45]2 years ago

8 0

Number 5 is 3.8
number 6 is yes, she will bc if you multiply 14,2 by 8, it will be less than 88.3
number 7 is about .11
number 8 is about 4.285

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Alaska has a coastline of about 6.64 thousand miles. Florida has about 1.35 thousand miles of coastline. How many times more mil

victus00 [196]

All you need to do is divide 6.64 and 1.35. you would get 4.91851852. But, you need to round to the nearest tenth so it would actually be 4.9.

3 0

3 years ago

A direct variation function contains the points (2, 14) and (4, 28). Which equation represents the function?

vitfil [10]

A direct variation has a constant slope, i.e. (y/x)= constant.

Both of the given two points give a slope of (y/x)=14/2=28/4=7, so the equation of the function is
y/x=7, or simply
y=7x

4 0

3 years ago

A bag of marbles has 10 red marbles, 4 green marbles, and 6 blue marbles. A marble is randomly drawn from the bag before another

Anna007 [38]

Answer:

2/19

Step-by-step explanation:

i just took the test and no one helped me i got is wrong but when you go back to review it it tells you the answer hope im not too late

6 0

2 years ago

If I have a triangular prism with the length of 9mm, the base of 6.6 mm, and the height 4 mm or 5.2 mm. What would be the surfac

Lelu [443]

The surface area of triangular prism is 117.12 mm²

<u>Explanation:</u>

Base side, a = 9 mm

Base side, b = 6.6 mm

Base side, c = 5.2 mm

Height, h = 4 mm

Total surface area = ?

We know,

Surface area, A = 2 Ab ( a+b+c) h

Ab = √s(s-a) (s-b) (s-c)

s = a+b+c/2

Solving for A

A = ah + b h + ch + 1/2 √ -a⁴ + 2(ab)² + 2(ac)² - b⁴ + 2 (b c)² - c⁴

A = 9.4 + 6.6 X 4 + 5.2 X 4 + 1//2 √ -9⁴ + 2(9 X 6.6)² + 2(9 X 5.2)² - (6.6)⁴ + 2 (6.6 X 5.2)² - (5.2)⁴

A = 117.12 mm²

Therefore, the surface area of triangular prism is 117.12 mm²

4 0

2 years ago

The one-to-one functions g and h are defined as follows

Debora [2.8K]

Answer:

$g^-^1(x)=-8$

$h^-^1(x)=\frac{x-4}{3}$

$(h^-^1 \ o\ h)(-3)=-3$

Step-by-step explanation:

When given the following functions,

$g=[(-2,-7),(4,6),(6,-8),(7,4)]$

$h(x)=3x+4$

One is asked to find the following,

1. Question 1

$g^-^1(4)$

When finding the inverse of a function that is composed of defined points, one substitutes the input given into the function, then finds the output. After doing so, one must substitute the output into the function, and find its output. Thus, finding the inverse of the given input;

$g^-^1(4)$

$g(4)=6\\g(6)=-8\\g^-^1(4)=-8$

2. Question 2

$h^-^1(x)$

Finding the inverse of a continuous function is essentially finding the opposite of the function. An easy trick to do so is to treat the evaluator (h(x)) like another variable. Solve the equation for (x) in terms of (h(x)). Then rewrite the equation in inverse function notation,

$h(x)=3x+4\\\\h(x)-4=3x\\\\\frac{h(x)-4}{3}=x\\\\\frac{x-4}{3}=h^-^1(x)$

$h^-^1(x)=\frac{x-4}{3}$

3. Question 3

$(h^-^1 \ o\ h)(-3)$

This question essentially asks one to find the composition of the function. In essence, substitute function (h) into function ( $h^-^1$ ) and simplify. Then substitute (-3) into the result.

$h^-^1\ o\ h$

$\frac{(3x+4)-4}{3}\\\\=\frac{3x+4-4}{3}\\\\=\frac{3x}{3}\\\\=x$

Now substitute (-3) in place of (x),

$=-3$

8 0

2 years ago