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3 years ago

The tower below is made up of a square pyramid on top of a rectangular prism. What is the

Mathematics

1 answer:

DaniilM [7]3 years ago

4 0

Answer:is it 532?

Step-by-step explana:

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The both that are not in green I don't know how to do them . I need some help.

attashe74 [19]

Answer:

Step-by-step explanation:

B. 0.00604

D.1.47 × $10^{-3}$

3 0

3 years ago

Solve the inequality and express in interval notation and graph its solution on a number line

vfiekz [6]

Answer:

x ∈ (-∞, 3) U (6, ∞).

Step-by-step explanation:

$x^2> 9x - 18$

$x^2 - 9x + 18> 0$

We use factorization and optain

$(x-6)(x-3)> 0$

Then, we have two critical points: x=3 and x=6. Now:

(i) for x < 3 we have that x-6 <0 and x-3 <0. Then (x-6)(x-3) > 0.

(ii) for 3 < x < 6 we have that x -6 <0 and x -3 > 0. Then (x-6)(x-3) < 0.

(iii) for x > 6 we have that x-6 >0 and x-3 > 0. Then, (x-6)(x-3) > 0.

conditions (i) and (iii) satisfy the inequatliy, then the solution is x ∈ (-∞, 3) U (6, ∞).

The graph is in the picture below.

7 0

3 years ago

If the vertex of a parabola is negative for 6 and the other point of the curve is (-3,14) what is the coefficient of the squared

Anton [14]

Answer:

coefficient of the square is a.6

6 0

3 years ago

One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of 183.0 milligrams of vitamin C.

uysha [10]

Answer:

Apple juice there are 95.9 mg

Orange juice there are 87.1 mg

Step-by-step explanation:

We can get a system of equations from the statement.

Let x be the amount of vitamin C in apple juice

Let y be the amount of vitamin C in orange juice

Now, with the statement we have to:

x + y = 183 (1)

2 * x + 3 * y = 453.1 (2)

We have an equation system, of 2 equations with 2 unknowns, that is, it has a solution.

If we multiply the first equation by 2 and subtract the second equation, we are left with:

2 * x + 3 * y - 2 * x - 2 * y = 453.1 - 2 * 183

Solving

y = 453.1 - 366

y = 87.1

Now to calculate x:

x + y = 183

x + 87.1 = 183

x = 183 - 87.1

x = 95.9

To check:

https://es.symbolab.com/solver/step-by-step/x%20%2B%20y%20%3D%20183%3B%202%5Ccdot%20x%20%2B%203%5Ccdot%20y%20%3D%20453.1

Therefore in apple juice there are 95.9 milligrams of vitamin C and in orange juice there are 87.1 milligrams.

8 0

3 years ago

Read 2 more answers

Given that f(x) = x2 – 12x + 27 and g(x) = x – 9, find (f.g)(x) and express

nikklg [1K]

Step-by-step explanation:

$f(x) = {x}^{2} - 12x + 27 \\ g(x) = x - 9 \\ (f \times g)(x) = ( {x}^{2} - 12x + 27)(x - 9) \\ (f \times g)(x) = {x}^{3} - 9 {x}^{2} - 12 {x}^{2} + 108x + 27x - 243 \\ (f \times g)(x) = {x}^{3} - 21 {x}^{2} + 135x - 243$

6 0

2 years ago