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3 years ago

Use PEMDAS to evaluate the expression 8 + 3 x 6 − 12 ÷ 3. 14 16 19 22

Mathematics

2 answers:

dedylja [7]3 years ago

6 0

8 + 18 - 12/3 , 8 + 18 - 4 , 18 + 8 , 26-4 = 22

Anna35 [415]3 years ago

5 0

Answer:

Step-by-step explanation:

PEMDAS stands for:

Parenthesis, Exponents, Multiplication and Division, Addition and Subtraction

Simplify according to PEMDAS, from left to right

I will bold the parts that I will simplify for each step

8 + 3 x 6 - 12 ÷ 3 =

8 + 18 - 12 ÷ 3 =

8 + 18 - 4 =

26 - 4 =

The expression equals to 22

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If M angle 4=25 degrees, then what is M angle 8? Please help me, I need this done today, and I have tried everything

Alex73 [517]

Answer:

65 degrees

Step-by-step explanation:

The question is not complete but we can assume that m<4 and m<8 are complementary i.e they both act at right angle.

If the both act at right angle, then m<4 + m<8 = 90

Given

m<4 = 25°

Substitute into the formula

m<4 + m<8 = 90

m<8 = 90 - m<4

m<8 = 90 - 25

m< 8 = 65 degrees

Hence the measure of m<8 is 65 degrees

<em>Note that we assumed that both angles acts at right angles </em>

7 0

3 years ago

Prove that (n+5)^2-(n+3)^2 is a multiple of 4 for all positive integer values of n

hodyreva [135]

Answer:

Proved

Step-by-step explanation:

Given

$(n+5)^2-(n+3)^2$

Required

Show that $(n+5)^2-(n+3)^2$ is a multiple of 4

Expand each bracket

$(n+5)(n+5)-(n+3)(n+3)$

Open brackets

$n^2 + 5x + 5x + 25 - (n^2 + 3x + 3x + 9)$

$n^2 + 10x + 25 - (n^2 + 6x + 9)$

Open bracket

$n^2 + 10x + 25 - n^2 - 6x - 9$

Collect Like Terms

$- n^2 + n^2 - 6n + 10n + 25 - 9$

$- 6n + 10n + 25 - 9$

$4n + 25 - 9$

$4n + 16$

Factorize

$4(n + 4)$

Hence, the multiples of $(n+5)^2-(n+3)^2$ are $4$ and $(n + 4)$

8 0

3 years ago

Use the following graph of the function f(x) = −3x4 − x3 + 3x2 + x + 3 to answer this question: graph of negative 3 x to the fou

Serggg [28]

Answer:

The average rate of change from x=0 to x=1 for f(x) is 0.

Step-by-step explanation:

We are given the function $f(x)=-3x^{4}-x^{3}+3x^{2}+x+3$ .

Now, the rate average rate of change of a function from $y=x_{1}$ to $y=x_{2}$ is given by $\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}}$ .

As, we need the rate of change from x = 0 to x = 1.

So, we will find the values of f(0) and f(1).

i.e. $f(0)=-3\times0^{4}-0^{3}+3\times0^{2}+0+3$ i.e. f(0) = 3

and $f(1)=-3\times1^{4}-1^{3}+3\times1^{2}+1+3$ i.e. $f(1)=-3-1+3+1+3$ i.e. f(1) = 3

Thus, the rate of change from x=0 to x=1 is $\frac{f(1)-f(0)}{1-0}$ i.e. $\frac{3-3}{1-0}$ i.e. 0

Hence, the average rate of change from x=0 to x=1 for f(x) is 0.

7 0

4 years ago

Each base of a triangular prism is a right triangle with side lengths 3 inches, 4 inches, and 5 inches. The height of the prism

pickupchik [31]

The answer is C.96 in2

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4 years ago

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How do I figure this out

monitta

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Think of the intermediate steps you'd have to follow to construct a scale model to the given scale.

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3 years ago