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lord [1]
2 years ago
15

I need help on this question

Mathematics
1 answer:
Pie2 years ago
4 0

Answer:

(f-g)(4) = 10

Step-by-step explanation:

(f-g)(x) = f(x) - g(x)

= 1/2 x^2 - 1/4 x + 4 - 1/2 x + 1

= 1/2 x^2 - 1/4 x - 1/2 x + 4 + 1

= 1/2 x^2 - 3/4 x + 5

(f-g)(4)

= 1/2 (4)^2 - 3/4 (4) + 5

= 1/2 * 16 - 3 + 5

= 8 - 3 + 5

= 5 + 5

= 10

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The difference between two numbers is 28. The first number is three times the other number. What are the numbers? A. 14 and 42 B
nadezda [96]
The answer would be A. 14 and 42
4 0
3 years ago
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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

4 0
3 years ago
The radius of a circle is 18 yards. What is the circle's area?<br> Use 3.14 for ​.
IrinaVladis [17]

Solution:

<u>We know that:</u>

  • Radius: 18 yards
  • πr² = Area of circle
  • π = 3.14

<u>Finding the area of the circle:</u>

  • (π)(r²) = Area of circle
  • => (3.14)(18²) = Area of circle
  • => (3.14)(324) = Area of circle
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3 0
2 years ago
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Help please .. don’t understand
Grace [21]

Answer:

sinx = p/h , cosx = b/h , tanx = p/b

you can use these relations

Step-by-step explanation:

p = perpendicular = side opposite to the angle

h  = hypotenuse = side opposite to the right angle

b= base

if no angles are given, p and b can be interchanged

3 0
3 years ago
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Population a current census shows that the population of a city is 3.5 million using the formula p= aert find the expected popul
Yuki888 [10]

Answer: the expected population of the city in 30 years is 5470781

Step-by-step explanation:

The population growth is exponential. The growth rate is exponential. We would apply the formula for exponential growth which is expressed as

A = P(1 + r)^t

Where

A represents the population after t years.

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

P = 3.5 × 10^6

r = 1.5% = 1.5/100 = 0.015

t = 30 years

Therefore,

A = 3.5 × 10^6(1 + 0.015)^30

A = 3.5 × 10^6(1.015)^30

A = 5470781

6 0
3 years ago
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