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lyudmila [28]
1 year ago
6

Simplify the expression –2(p + 4)2 – 3 + 5p. What is the simplified expression in standard form?

Mathematics
2 answers:
mojhsa [17]1 year ago
6 0

Answer:

-2p² − 11p − 35

Step-by-step explanation:

Simplifying:

-2(p + 4)² − 3 + 5p

-2(p² + 8p + 16) − 3 + 5p

-2p² − 16p − 32 − 3 + 5p

-2p² − 11p − 35

This is also the standard form.

Rainbow [258]1 year ago
6 0

Answer:

-2p^2 - 11 p - 35

Step-by-step explanation:

Please, use " ^ " to indicate exponentiation.  Thus:

–2(p + 4)^2 – 3 + 5p

Now perform the exponentiation first, obtaining:

-2(p^2 + 8p + 16) - 3 + 5p, or

-2p^2 - 16 p - 32  - 3 + 5p

Now rearrange these terms in descending order by powers of p:

-2p^2 - 11 p - 32  - 3, or

-2p^2 - 11 p - 35

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Answer:

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b) proportions of children with significant social activity in children with acute lymphoblastic leukemia = 1020/1272 = 0.80

proportions of children with significant social activity in children without acute lymphoblastic leukemia = 5343/6238 = 0.86

c) Odds ratio can be calculated using the following formula:

OR= \frac{a/b}{c/d}

where: a - Number in exposed group with positive outcome(here this means number of children with significant social activity associated with acute lymphoblastic leukemia)

b- Number of children without social activity having with acute lymphoblastic leukemia

c- Number of children with social activity having without acute lymphoblastic leukemia

d- Number of children without social activity having without acute lymphoblastic leukemia

OR= \frac{1020/252}{5343/895}

OR= 0.6780

d) The 95% confidence interval of this Odds Ratio is 0.5807 to 0.7917.

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8 0
1 year ago
Cardinal number of (101)³​
Dmitry [639]

Answer:

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Step-by-step explanation:

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Suppose a system has two modules, A and B, that function independently. Module A fails with probability 0.24 and Module B fails
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4 0
2 years ago
Lauryn’s wages were not as much as she had budgeted. How can her budget be modified so there will be a positive actual net incom
shutvik [7]

The <em><u>correct answer</u></em> is:

Her variable expenses can be reduced.

Explanation:

In a household budget, you have fixed expenses and variable expenses.

Fixed expenses are expenses that are the same from month to month, such as a car payment, rent, power bill, etc. These cannot be reduced; if you were to pay less on your car payment, your car would be repossessed; paying less than you owe on the power bill can result in your power being disconnected; etc.

Variable expenses are expenses that are different from month to month, such as food, clothing, shopping, etc. If you are dealing with a situation where your wages are less than you anticipate, you can reduce items within your variable expenses to make sure you have enough money. For example, you can purchase fewer clothes that pay period or cut your grocery bill down.

6 0
2 years ago
Read 2 more answers
Consider this polynomial, where a is an unknown real number.
DENIUS [597]

Answer:

Step-by-step explanation:

Correct steps to find the value of 'a' should be,

Braulio's synthetic division should be,

-1  |     1       5         a          -3           11

   

    <u>            -1        -4        (4 - a)     (a - 1)  </u>

         1      4     (a - 4)     (1 - a)     (a + 10)

Here remainder is (a + 10).

So (a + 10) = 17 ⇒ a = 7

Braulio Incorrectly found a value of 'a' because he should have used (-1) instead of 1.

Zahra's calculation by remainder theorem should be,

p(x) = x⁴ + 5x³ + ax² - 3x + 11

p(-1) = (-1)⁴ + 5(-1)³ + a(-1)² - 3(-1) + 11

      = 1 - 5 + a + 3 + 11

      = (a + 10)

Since, remainder of the solution is 17,

(a + 10) = 17 ⇒ a = 7

Zahra incorrectly found the value of 'a' because she incorrectly solved the powers to (-1).

8 0
1 year ago
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