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4 years ago

PLEASE HELP NOW!! Will grant brainliest

Mathematics

1 answer:

slava [35]4 years ago

5 0

(f·g)(x) is x^5 - 5x^4 + 4x³ - x² + 5x - 4

Step-by-step explanation:

Step 1: Given, f(x) = x² - 5x + 4 and g(x) = x³ - 1 Find (f·g)(x)

(f·g)(x) = f(x)·g(x) = (x² - 5x + 4)(x³ - 1)

= x^5 - 5x^4 + 4x³ - x² + 5x - 4

= x^5 - 5x^4 + 4x³ - x² + 5x - 4

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Jamal deposits $1000 into a savings account on his 18th birthday. If the 2% interest is compounded yearly, how much will he have

dalvyx [7]

The number of years (n) that the deposit stayed in his balance is given by: 65 - 18 = 47 years.

The future value (FV) of a deposit (P), deposited at an interest rate of r% compounded yearly for n years is given by

$FV=P(1+r)^n$

Given that <span>Jamal deposits P = $1000 into a savings account on for n = 47years at 2% interest compounded yearly, the amount in his bank account at the end of the period is given by

$FV=1000(1+0.02)^{47} \\ \\ =1000(1.02)^{47}=1000(2.53634) \\ \\ =\$2,536.34$ </span>

8 0

3 years ago

Find the radius of a right cylinder with a volume of 350 cubic feet and a height of 4 feet. Round your answer to the nearest hun

frosja888 [35]

Answer:

Radius $=\sqrt{27.87}$ feet

Step-by-step explanation:

Volume of a right cylinder= $\pi *r^2*h$

Volume= $350 feet^3$

Height(h)= $4 feet$

As, $\pi =\frac{22}{7}=3.14$

$350=3.14*r^2*4\\\\350=12.56*r^2\\\\r^2=350/12.56\\\\r^2=27.87\\\\r=\sqrt{27.87}feet$

Radius $=\sqrt{27.87}$ feet

4 0

4 years ago

For each part of this problem, show all your work and write a probability statement.

AlladinOne [14]

Answer:

Follows are the answer to the given point.

Step-by-step explanation:

In point 1:

$\to P( \text{number of response}) = \frac{192}{338} \\$

$= \frac{96}{169}\\\\= 0.56$

In point 2:

$\to P| \text{(Zoloft and fill response)}| = \frac{27}{338}$

$= 0.079$

In point 3:

$\to P(\frac{\text{ full or partial}}{\text{St. John's Wort}}) = \frac{\frac{43}{338}}{\frac{113}{338}}$

$= \frac{43}{338} \times \frac{338} {113}\\\\= \frac{43}{113}\\\\= 0.38$

In point 4:

$\to P(\frac{\text{Placebo}}{\text{full or response}}) = P(\frac{(\text{Placebo} \cap \text{full or response})} {\text{p(full response)}})$

$= \frac{\frac{79}{338}}{ 1- \frac{91}{338}} \\\\ = \frac{\frac{79}{338}}{ \frac{338-91}{338}} \\\\ = \frac{\frac{79}{338}}{\frac{247}{338}} \\\\ = \frac{79}{338} \times \frac {338}{247} \\\\= \frac{79}{274} \\\\ = 0.28$

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3 years ago

Kevin is making a banner with area of 7 square ft width and length of banner is whole numbers what numbers are possible dimensio

stepladder [879]

Answer:

Length = 7, width = 1.

Step-by-step explanation:

7 and 1 are the only possible dimensions as 7 is a prime number.

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The best answer is C : The sum of the measures of two angles os 180 degrees .

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4 years ago