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3 years ago

Which answer choice gives the correct explanation for this problem? 40 ÷ 4

Mathematics

1 answer:

Papessa [141]3 years ago

6 0

I divide 40 into 4 even groups

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Answer:

Angle 125 degree

Step-by-step explanation:

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3 years ago

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What is the 75th term of the arithmetic sequence -1, 5, 11

lana [24]

Answer:

75th term = 443

Step-by-step explanation:

$a_{n}=a_{1}+d(n-1) \\a_{n}=-1+6(n-1) \\a_{75}=-1+6(75-1) \\a_{75}=-1+6(74)\\a_{75}=-1+444\\a_{75}=443 \\\\$

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(12a + 8) + (4a + 3) + (5 + a) =

PSYCHO15rus [73]

Answer:

17a + 16 =

Step-by-step explanation:

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3 years ago

Solve |p + 2| = 10Solve |p + 2| = 10<br><br> {-12}<br> {-8, 8}<br> {-12, 8}

valentinak56 [21]

By definition, we have

$|p+2| = \begin{cases} p+2 &\text{ if } p+2 \geq 0 \\-p-2 &\text{ if } p+2 < 0 \end{cases}$

So, we have to solve two different equations, depending of the possible range for the variable. We have to remember about these ranges when we decide to accept or discard the solutions:

Suppose that $p+2\geq 0 \iff p \geq -2$

In this case, the absolute value doesn't do anything: the equation is

$p+2 = 10 \iff p = 10-2 = 8$

We are supposing $p \geq -2$ , so we can accept this solution.

Now, suppose that $p+2 < 0 \iff p < -2$ . Now the sign of the expression is flipped by the absolute value, and the equation becomes

$-p-2 = 10 \iff -p = 12 \iff p = -12$

Again, the solution is coherent with the assumption, so we can accept this value as well.

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3 years ago