Given f(x) = 5 - x?, find f(3).

Answer:

(140, 30,072) and (380, 19608).

Step-by-step explanation:

We are given that the revenue function for selling the kitchen table given its price is:

[tex]R(x)=-0.68x^2+310x[/tex]

And the cost function is:

[tex]C(x)=-43.6x+36176[/tex]

At the breakeven point, the revenue equals the cost. Therefore:

[tex]R(x)=C(x)[/tex]

Substitute:

[tex]-0.68x^2+310x=-43.6x+36176[/tex]

We can solve for x.

Adding 0.68x² to both sides and subtracting 310x from both sides yields:

[tex]0.68x^2-353.6x+36176=0[/tex]

We can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 0.68, b = -353.6, and c = 36176. Substitute:

[tex]\displaystyle x=\frac{-(-353.6)\pm\sqrt{(-353.6)^2-4(0.68)(36176)}}{2(0.68)}[/tex]

Simplify:

[tex]\displaystyle x=\frac{353.6\pm\sqrt{26684.24}}{1.36}[/tex]

So, our two solutions are:

[tex]\displaystyle x=\frac{353.6+\sqrt{26684.24}}{1.36}\text{ or } x=\frac{353.6-\sqrt{26684.24}}{1.36}[/tex]

Use a calculator:

[tex]x\approx 380\text{ or } x\approx 140[/tex]

Our answers are:

(140, 30,072) and (380, 19608).

Answer:

(140, 30,072) and (380, 19608)

Step-by-step explanation:

i got it right

Answer:

Step-by-step explanation:

Answer:

Area = 7

Perimeter = 21 m

Step-by-step explanation:

Remark

The perimeter is just the sum of the three sides of the triangle.

The Area is the base * height /2

Givens

Perimeter: Three sides: 5 + 7 + 9

height: 2 meters

Formula

Area = 1/2 Base * Height

Area = 1/2 7 * 2

Note:

Just so you  know the height should be almost 5. 2 is an impossible amount for the height.

Area = 1/2 *  7 * 2

Area = 7 m^2

Perimeter = 5 + 7 + 9

Perimeter = 21

Answer:

No, because he has a sum of 0.

Step-by-step explanation:

3+11-5-8-2+1

=14-5-8-2+1

=9-8-2+1

=1-2+1

=-1+1

=0

Answer:

Step-by-step explanation:

we need the arc length formula . it's Arc length = 2πr (θ/360)

Arc length = 2π5 (144/360)

Arc length = 12.56637 cm  

Yes,

Step-by-step explanation:

you constantly add 15

or technically the constant difference between the consecutive numbers is -15

Answer:

x=8

Step-by-step explanation:

Remember that the variables a and b in the formula are the legs and c is the hypotenuse. So that means that 15 and x are the legs and 17 is the hypotenuse. Plug those numbers where they go in the formula like below:

15^2+x^2=17^2

Go ahead and square the 15 and 17 to simplify it a little.

225+x^2=289

Now, get the x by itself by subtracting 225 from each side

x^2=64

Take the square root of each side to remove the squared on x and solve.

x=8

Answer:

100

Step-by-step explanation:

80+20=100

Answer:

100 cubic units

Step-by-step explanation:

I'm just different like that man

Given:

The data values are:

12, 3, 7, 8, 9, 12, 10

To find:

The mean,median ,and mode for the given set of date.

Solution:

We have,

12, 3, 7, 8, 9, 12, 10

Arrange the values in ascending order.

3, 7, 8, 9, 10, 12, 12

Mean of the data set is:

[tex]\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]

[tex]\text{Mean}=\dfrac{3+7+8+9+10+12+12}{7}[/tex]

[tex]\text{Mean}=\dfrac{61}{7}[/tex]

[tex]\text{Mean}\approx 8.7143[/tex]

Number of observations is 7 which is an odd number. So, the median is:

[tex]Median=\dfrac{n+1}{2}\text{th term}[/tex]

[tex]Median=\dfrac{7+1}{2}\text{th term}[/tex]

[tex]Median=\dfrac{8}{2}\text{th term}[/tex]

[tex]Median=4\text{th term}[/tex]

The 4th term from the arranged data set is 9.

[tex]Median=9[/tex]

Here, the most frequent number is 12 because it occurs 2 times. So, the mode of the data set is 12.

Therefore, the mean of the data set is 8.7143, median is 9 and mode is 12.

Answer:

Option 3: "Add 1,105.28 + 200.96 + 200.96"

Step-by-step explanation:

Just follow the rule: add each area of the net. Ignore the 22 mm because that does not represent the area. Got this question right in an assignment.

Mark Brainliest pls!

You can find the surface area by Adding 1,105.28 + 200.96 + 200.96.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

The surface area will be calculated as:-

SA = 1,105.28 + 200.96 + 200.96.

SA = 1507.2

Therefore the surface area by Adding 1,105.28 + 200.96 + 200.96.

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I'm not sure if I did this right.

Answer:

2

Step-by-step explanation:

[tex]1^2+x^2=\sqrt{5}^2[/tex]

[tex]x^2+1=5[/tex]

[tex]x=\frac{+}{-} \sqrt{4}[/tex]

2 or -2

Answer:

A) 42 boys can count. B) 42/53

Step-by-step explanation:

Good luckk

Answer:

Have you gotten the answers yet?

Step-by-step explanation:

Answer:

here you go

Step-by-step explanation:

the second picture is to part D if you can't see it

Answer:

Option D.

Step-by-step explanation:

Have a fantastic Day !

Answer: I think it's 24

Step-by-step explanation:

Answer:

This is binomial.

Here n = 5

p = 2/7

mean = np = 5*2/7 = 10/7 = 1.42857

standard deviation = sqrt(npq) = sqrt(5*2/7*5/7) = 1.01015

Step-by-step explanation:

Work Shown.

The probability that exactly two of the five students of the class were born on weekend is 0.2975

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

n = 5

The probability that any student was born on weekend, P(W) = (2 / 7)

and, the probability that any student was not born on weekend

P(W') = {1 - P(W)}

        = {1 - (2 / 7)}

        = (5 / 7).

Thus, the probability that exactly two of the five students of the class were born on weekend

= ([tex]^5C_2[/tex]) x {P(W)}² x {P(W')}³

= 10 x {(2 / 7)²} * {(5 / 7)³}

= 10 x (4 / 49) x (125 / 343)

= (5000 / 16807)

≈ 0.2975

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Answer:

[tex]a =\frac{\sqrt 3}{2}[/tex] mi

[tex]b =\frac{1}{2}[/tex] mi

Step-by-step explanation:

Given

The attached triangle

Required

Find a and b

To do this, we make use of the following trigonometry ratio

[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

So, we have:

[tex]\sin(60) = \frac{a}{c}[/tex]

[tex]\sin(30) = \frac{b}{c}[/tex]

Where

[tex]c = 1[/tex]

So, we have:

[tex]\sin(60) = \frac{a}{c} =\frac{a}{1}[/tex]

[tex]\sin(60) = a[/tex]

[tex]a = \sin(60)[/tex]

In radical form:

[tex]\sin(60) = \frac{\sqrt 3}{2}[/tex]

Hence:

[tex]a =\frac{\sqrt 3}{2}[/tex]

[tex]\sin(30) = \frac{b}{c}[/tex]

[tex]\sin(30) = \frac{b}{1}[/tex]

[tex]\sin(30) = b[/tex]

Rewrite as:

[tex]b =\sin(30)[/tex]

In radical form:

[tex]\sin(30) = \frac{1}{2}[/tex]

Hence:

[tex]b =\frac{1}{2}[/tex]

Answer:

im pretty sure its either 1 or 7

Step-by-step explanation:

8x7=56, so 56 students can sit at a table, 58-56=2 students without a table.

Your answer would be 2.

Answer:

2 students cannot sit down at tables.

Step-by-step explanation:

Since there are a total of 58 students and only 7 tables and each table can only fit 8 students, you'll need to calculate how many students can sit at 7 tables first:

7(8) = 56 So, with 8 students sitting at all 7 tables, there are 56 students that can sit at a table.

To find how many students can't sit at a table you'll have to subtract 56 from 58,

58-56 = 2 So, 2 students will not be able to sit down at tables.

Answer:

6 and 8

Step-by-step explanation:

9514 1404 393

Answer:

  7 cm

Step-by-step explanation:

The formula for the area of a rectangle tells you the area is the product of length and width:

  A = LW

  56 = 8W

From your knowledge of multiplication tables, you know that ...

  56 = 8·7

That is, W = 7 . . . cm.

The width of the card is 7 cm.

Answer:

Step-by-step explanation:

Answer:

It 13

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{ - 16}{11} + \frac{ - 3}{9} = \frac{ - 48 - 11}{33} = \frac{ - 59}{33} [/tex]

Answer:

d

Step-by-step explanation:

it should be the one with the greatest power to the lowest power If I remember correctly.

Answer:

The answer is D

Step-by-step explanation:

It is descending from greatest to least

Answer: for question 2

B

Step-by-step explanation:

23.15

+12.67

------------

35.82

40.00

- 35.82

---------

4.18

Amelia would have to multiply the number 7/10 on the price on the tags that she has to pay.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

The discount on new camera bought by Amelia = 30%.

To find the number that Amelia should multiply to pay,

Let The required number be x,

and total price of the camera is 100%

So after discount the price of camera = 100 - 30 = 70%

Implies that,

100 × x = 70

x = 70 / 100

x = 7 / 10

So the required number is 7/10 that Amelia should multiply the price she would have to pay.

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Answer:

Obtuse

Step-by-step explanation:

Obtuse is larger then 90°

Right angle is exactly 90°

Acute angle is smaller then 90°

Answer:

1/2 x base x height our base being 140 and our height being 80 and the answer is 5600

Answer: d is your answer hope this helped

plz make brainly

Step-by-step explanation:

14.87

Step-by-step explanation:

use the Pythagorean theorem

a^2+b^2=c^2

C being the longest side of the triangle

14^2+5^2=C^2

196+25=C^2

221=C^

find the square root of 221

C=14.866

rounded to nearest tenth

C=14.87

Answer:

15

Step-by-step explanation:

5^2 +14^2=C^2

25+196=C^2

221=C^2

√221=√C^2

14.86=C

appr 15 =C