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MAVERICK [17]
3 years ago
5

Use the rule for order of operations to simplify the expression as much as possible 67−4(3⋅8−10)=

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
6 0

67-4\cdot(3\cdot8-10)=67-4\cdot(24-10)=\\\\=67-4\cdot14=67-56=\boxed{11}

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Solve for x on the interval 0≤x&lt;2pi<br><br> cos(3x)=1/2
Ede4ka [16]

We will see that the solution in the given interval is: x = 0.349 radians.

<h3>How to solve equations with the variable in the argument of a cosine?</h3>

We want to solve:

cos(3*x) = 1/2

Here we must use the inverse cosine function, Acos(x). Remember that:

cos(Acos(x)) = Acos(cos(x)) = x.

If we apply that in both sides, we get:

Acos( cos(3x) ) = Acos(1/2)

3*x = Acos(1/2)

x = Acos(1/2)/3 = 0.349

So x is equal to 0.349 radians, which belongs to the given interval.

If you want to learn more about trigonometry, you can read:

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7 0
2 years ago
What is 20.136 rounded to the nearest whole number?
Amanda [17]
20.136 rounded to nearest whole number is 20
3 0
4 years ago
Read 2 more answers
Kylie explained that (negative 4 x 9) squared will result in a difference of squares because (negative 4 x 9) squared = (negativ
JulijaS [17]

A perfect square trinomial is the result in algebraic form which is obtained by solving the squared binomial expression. Kylie did not understand that this is a perfect square trinomial and she did not determine the product correctly. Thus the option C is the correct option.

Given information-

The expression for the given problem is,

(-4x+9)^2

<h3>Perfect square trinomial</h3>

A perfect square trinomial is the result in algebraic form which is obtained by solving the squared binomial expression.

The perfect square trinomial can be given as,

ax^2+bx+c

The given expression can be solved as,

(-4x+9)^2=(-4x+9)\times(-4x+9)\\(-4x+9)^2=-4x(-4x+9)+9(-4x+9)\\(-4x+9)^2=16x^2-36x-36x+81\\(-4x+9)^2=16x^2-72x+81

Hence Kylie did not understand that this is a perfect square trinomial and she did not determine the product correctly. Thus the option C is the correct option.

Learn more about the perfect square trinomial here;

brainly.com/question/88561

3 0
2 years ago
John is creating crafts that require 4 2/5 inches of string each. If the string comes in a 50ft spool, how many items can he mak
Serggg [28]

Answer:

Step-by-step explanation:

7 0
3 years ago
Write down in terms of N and expression for the nth term of the following sequence 25 20 15 10 5
GREYUIT [131]

Answer:

30x-5

Step-by-step explanation:

25-5=20

20-5=15

-5  -10  -15  -20  -25

25  20  15   10     5

I hope that helped you

8 0
3 years ago
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