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svetoff [14.1K]
4 years ago
12

Where is the answer to the expression 3 − 7 located on a horizontal number line?

Mathematics
1 answer:
crimeas [40]4 years ago
3 0
-4 is the correct answer
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If 2i is a zero of f(x)=x^4+x^2+a, find the value of a
Sedbober [7]

By the polynomial remainder theorem, because <em>x</em> = 2<em>i</em> is a zero of <em>f(x)</em>, we have no remainder upon dividing <em>f(x)</em> by <em>x</em> - 2<em>i</em>.

Computing the quotient yields

\dfrac{x^4+x^2+a}{x-2i} = x^3+2ix^2-3x-6i+\dfrac{12+a}{x-2i}

Then if the remainder term is 0, follows that <em>a</em> = -12.

5 0
3 years ago
The executives of CareFree Insurance, Inc. feel that "a majority of our employees perceive a participatory management style at C
Mandarinka [93]

Answer:

Step-by-step explanation:

H_0: p = 0.5\\H_a : p >0.5

(One tailed test at 5% significance level)

Sample size =200 and sample proportion =\frac{80}{200} =0.40

Std error of p = \sqrt{\frac{pq}{n} } \\=\sqrt{\frac{0.4(0.6)}{200} } \\=0.0346

Test statistic = p diff/std error = -2.89

p value = 0.001926

So we reject H0 and accept alternate hypothesis.

8 0
4 years ago
Jacobs college savings are invested in a bond that pays an annual interest of 6.2% compounded continuously. How long will it tak
DiKsa [7]

Answer:

Therefore the value of bond will triple after 17.72 years.

Step-by-step explanation:

The formula of Compounded continuously

A=Pe^{rt}

A= Amount after t year

P= initial amount

r = rate of interest

t= time in year.

Given that,

Jacobs college saving are invested in bond that pay 6.2% compounded continuously.

Let after t years the initial amount P will be triple i.e 3P.

Here P=P, A=3P, r= 6.2%=0.062

\therefore 3P=Pe^{0.062t}

\Rightarrow 3=e^{0.062t}   [ Multiply \frac 1P both sides]

Taking ln both sides

\Rightarrow ln3=ln(e^{0.062t})

\Rightarrow ln3={0.062t}        [ since ln(e^a)=a ]

\Rightarrow t=\frac{ln3}{0.062}

\Rightarrow t\approx 17.72 years

Therefore the value of bond will triple after 17.72 years.

4 0
3 years ago
I need help with these *45 points*
tekilochka [14]

Answer:

i will help you what is the problem

Step-by-step explanation:

8 0
3 years ago
What is -2.24 plz help me
igomit [66]
The answer would be the third choice, 2.24.
7 0
3 years ago
Read 2 more answers
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