Hansen's parents own a chocolate shop, and today he gets to help make the nut truffles.

If = √ 2 + 2,then p, in terms of a and q, is .... ?

nevsk [136]

Answer:

kjhgikoljuuihg

Step-by-step explanation:

bgkjm

8 0

3 years ago

Simplify x^2+3x-4/x+4 Show work and explain why x doesn’t equal -4

marin [14]

Take the numerator of the fraction and factor it out.

$x^{2} + 3x - 4 = (x+4)(x-1)$

Your fraction should now look like this:

$\frac{(x+4)(x-1)}{(x+4)}$

Because (x+4) is present in both the numerator and denominator, you can cross it out. You should be left with only (x-1) in the numerator.

x cannot equal -4, as if it is inputted in the denominator, -4 + 4 would equal 0. Dividing by 0 is impossible.

5 0

3 years ago

i already have the answers but i need to show my work. ill tell you my insta and please show me a picture of the work :))

Elodia [21]

Answer:

1:

${( - 6)}^{2} \times {( - 6)}^{5}$

from law of indices:

${a}^{n} \times {a}^{m} = {a}^{(n + m)}$

therefore:

$= ( - 6) {}^{ \{2 + 5 \}} \\ = ( - 6) {}^{7} \\ = { \boxed{ \boxed{ - 279936}}}$

2:

$- 4 {a}^{5} (6 {a}^{5} ) \\ = ( - 4 \times 6)( {a}^{5} \times {a}^{5} ) \\ = - 24 \{{a}^{(5 + 5)} \} \\ = { \boxed{ \boxed{ - 24 {a}^{10} }}}$

3:

$( - 7 {a}^{4} b {c}^{3} )(5a {b}^{4} {c}^{2} ) \\ = ( - 7 \times 5)( {a}^{4} \times a)(b \times {b}^{4}) \times ( {c}^{3} \times {c}^{2} ) \\ = - 35 {a}^{5} {b}^{5 } {c}^{5} \\ = { \boxed{ \boxed{ - 35 {(abc)}^{5} }}}$

4:

$\frac{ {8}^{15} }{ {8}^{13} }$

from law of indices:

$\frac{a {}^{n} }{ {a}^{m} } = {a}^{(n - m) } \\$

therefore:

$= {8}^{(15 - 13)} \\ { \boxed{ \boxed{ {8}^{2} = 64 }}}$

follow the procedure for application to other questions.

Any question, be free to ask. Thank you …

6 0

3 years ago

Read 2 more answers

A pathologist knows that 14.9% of all deaths are attributable to myocardial infarctions (a type of heart disease). (Either you h

garik1379 [7]

Answer:

a) The mean number is 745 and the standard deviation is 25.18.

b) 896 deaths is a significantly high number, which means that there is cause for concern.

Step-by-step explanation:

For each death, there are only two possible outcomes. Either it is attributable to myocardial infarctions, or it is not. The probability of a death being attributable to myocardial infarctions is independent of other deaths. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

A value X is significantly high is:

$X > E(X) + 2\sqrt{V(X)}$

In this problem:

$p = 0.149, n = 5000$

a. Find the mean and standard deviation for the number of such deaths that will occur in typical region with 5000 deaths.

$E(X) = np = 5000*0.149 = 745$

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{5000*0.149*0.851} = 25.18$

The mean number is 745 and the standard deviation is 25.18.

b. In one region, 5000 death certificates are examined, and it is found that 896 deaths were attributable to myocardial infarction. Is there cause for concern? Why or why not?

Is 896 a significantly high number?

$E(X) + 2\sqrt{V(X)} = 745 + 2*25.18 = 795.36$

895 > 795.36

896 deaths is a significantly high number, which means that there is cause for concern.

6 0

4 years ago

Find the missing length of the right triangle when "a" and "b" represent leg length and "c" represents the length of the hypoten

denis23 [38]

Answer:

Step-by-step explanation:

By Pythagoras' Theorem, a² + b² = c².

Substituting the values of a and b, we get:

7² + 25² = c²

49 + 625 = c²

c² = 674

c ≈ 26.0 (to 1 d.p.)

5 0

3 years ago

Read 2 more answers