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3 years ago

Please help 45 = 32 - 47n

Mathematics

2 answers:

goldfiish [28.3K]3 years ago

5 0

Step-by-step explanation:

45=32-47n

45-32=-47n

13=-47n

13/-47=n

0.276=n

n=0.276

Scilla [17]3 years ago

4 0

Answer:

45=32-47n

Step-by-step explanation:

4n7=45+35

47n=80

n=80:47

n=80/47

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What are the solutions of x^2-2x+5=0

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The solution of $x^{2}-2 x+5=0$ are 1 + 2i and 1 – 2i

Solution:

Given, equation is $x^{2}-2 x+5=0$

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Now, let us use the quadratic formula

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ --- (1)

Let us determine the nature of roots:

Here in $x^{2}-2 x+5=0$ a = 1 ; b = -2 ; c = 5

$b^2 - 4ac = 2^2 - 4(1)(5) = 4 - 20 = -16$

Since $b^2 - 4ac < 0$ , the roots obtained will be complex conjugates.

Now plug in values in eqn 1, we get,

$x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4 \times 1 \times 5}}{2 \times 1}$

On solving we get,

$x=\frac{2 \pm \sqrt{4-20}}{2}$

$x=\frac{2 \pm \sqrt{-16}}{2}$

$x=\frac{2 \pm \sqrt{16} \times \sqrt{-1}}{2}$

we know that square root of -1 is "i" which is a complex number

$\begin{array}{l}{\mathrm{x}=\frac{2 \pm 4 i}{2}} \\\\ {\mathrm{x}=1 \pm 2 i}\end{array}$

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3 years ago

The ratio of boys to girls in the ninth grade is 6:5. If there are 185 girls in the class, how many boys are there?

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Answer:

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Step-by-step explanation:

Let $x$ = total number of ninth graders. By knowing how many students there are in the grade, we can find for the number of boys.

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3 years ago

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The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the

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Answer:

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Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

$P(t)=a(1+r)^t$

where

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we have

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substitute

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Part 2) China

we have

$a=1,261,832,000\\r=0.9\%=0.9\100=0.009$

substitute

$P(t)=1,261,832,000(1+0.009)^t$

$P(t)=1,261,832,000(1.009)^t$

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substitute the value of t in the equation

$P(5)=1,261,832,000(1.009)^5=1,319,645,764\ people$

Part 3) Mexico

we have

$a=100,350,000\\r=1.8\%=1.8\100=0.018$

substitute

$P(t)=100,350,000(1+0.018)^t$

$P(t)=100,350,000(1.018)^t$

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substitute the value of t in the equation

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substitute

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3 years ago

Larry earns $11.25/hour selling televisions. He also earns 4.5% commission on his sales. What is his

monitta

Answer:

C) $573.75

Step-by-step explanation:

We can come up with the equation of this Gross Weekly pay as:

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Where P is the amount Larry will get paid, t is the time worked and S is the amount of sales he generated that week. This was derived from the fact that 11.25 is the slope and 0.045S is the y-intercept. By plugging in those values we have:

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3 years ago

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Alberto and 9 of his friends went out to eat.
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3 years ago

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