Q: Use the following function rule
to find f(o).
f(x) = 5(10) *
f(0) =

Answer: Inductive reasoning.

Step-by-step explanation:

         This is an example of inductive reasoning. Inductive reasoning means going from a specific observation (these 10 red roses) to a general conclusion ("all roses are red").

3/14 chance. There are 1 more red marble, and 4 more green marbles. The probability of a blue marble is low, but could still happen.

Answer:

C(x) = 138.17

Step-by-step explanation:

The greatest common factor of 9ab², 108ab³ is 9ab².

The factor of a number is the number that divides a number evenly; without any remainders. The factors of a number can either be positive or negative. For example, a factor of 10 is 2. This is because 10 divided by 2 is 5. 2 divides 10 evenly.

The greatest common factor is the highest factor that is common to two or more numbers. The highest common factor of 10 and 20 is 10. This is because it is the greatest common factor that is common to both numbers.

Factors of  9ab², 108ab³ = 3ab², 9ab²

The greatest common factor = 9ab²

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Answer:

$324,870.00

Step-by-step explanation:

357,000.00 x .09 = $32,130.00

357,000.00  - $$32,130.00 = $324,870.00

Answer:

Step-by-step explanation:

Hello,

\((1+1/3)^2-\dfrac{2}{9}=\left( \dfrac{3+1}{3}\right)^2-\dfrac{2}{9}\\\\=\dfrac{16}{9}-\dfrac{2}{9}\\\\=\dfrac{16-2}{9}\\\\=\boxed{\dfrac{14}{9}\\\\}\)

Thanks

The ball will hit the ground at 0.125 seconds

The equation of the function is a quadratic function, and the function is given as:

\(h = -16t^2 + 2t\)

When the ball hits the ground, the value of h is 0.

So, the equation of the function becomes

\(-16t^2 + 2t = 0\)

Subtract 2t from both sides of the equation

\(-16t^2 =- 2t\)

Divide both sides by -2t

\(8t =1\)

Divide both sides by 8

\(t =0.125\)

Hence, the ball will hit the ground at 0.125 seconds

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Using translation concepts, function g(x) is given as follows:

g(x) = x² - 3.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Researching this problem on the internet, g(x) is a shift down of 3 units of f(x) = x², hence:

g(x) = x² - 3.

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Answer:

C= 2.90x+ 70

this is the answer

Answer:

70 + 2.90c = X

Step-by-step explanation:

The fixed cost is 70 dollars which means that value stays the same. If each dream catcher costs $2.90, we can write that as 2.90c. This leads to the equation 70 + 2.90c = X

Based on the information provided, the missing number, in this case, would be 0.04.

Addition is one of the four main operations used in math, as its name indicates in addition we need to add or combine numbers. Based on this principle, let's add number by number to find the total we have, and then let's use subtraction to find the missing number. This means after we add all the numbers we will subtract the total, which is 35.149.

The process is shown below:

\(30 + 5 = 35\\35 + 0.1 = 35.1\\35.1 + 0.009 = 35.109\\\\35.149 - 35.109 = 0.04\\35.109 + 0.04 = 35.149\)

Therefore the missing number is 0.04.

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(a) 0.5, (b) f_Y(y) = 12y(1-y), (c) 9/128, (d) 7/36 - Probability calculations using joint density function.

(a) To find the Probability that the Turkish tobacco represents over a portion of the mix, we want to incorporate the joint thickness capability over the district where x > 0.5 and y < 1 - x. This gives:

P(X > 0.5) = ∫[0.5,1]∫[0,1-x] 24xy dy dx = 0.5

Consequently, the Probability that the Turkish tobacco represents over around 50% of the mix is 0.5.

(b) To find the negligible thickness capability for the extent of homegrown tobacco, we really want to incorporate the joint thickness capability over all potential upsides of Turkish tobacco:

f_Y(y) = ∫[0,1-y] 24xy dx = 12y(1-y) ; 0 < y < 1

Thusly, the peripheral thickness capability for the extent of homegrown tobacco is f_Y(y) = 12y(1-y).

(c) To find the Probability that the extent of Turkish tobacco is under 1/8 given that the mix contains 3/4 homegrown tobacco, we really want to utilize Bayes' standard:

P(X < 1/8 | Y = 3/4) = P(X < 1/8 ∩ Y = 3/4)/P(Y = 3/4)

We can find the numerator by coordinating the joint thickness capability over the district where x < 1/8 and y = 3/4:

∫[0,1/8] 24xy dx = 27/128

To find the denominator, we coordinate the joint thickness capability over all potential upsides of Turkish tobacco when y = 3/4:

∫[0,1/4] 24xy dx = 3

Thusly, the contingent Probability is:

P(X < 1/8 | Y = 3/4) = (27/128)/3 = 9/128

(d) To find the likelihood that the extent of homegrown tobacco is over two times the extent of the Turkish tobacco, we want to incorporate the joint thickness capability over the area where y > 2x and x + y < 1. This gives:

P(Y > 2X) = ∫[0,1/3]∫[2x,1-x] 24xy dy dx + ∫[1/3,1/2]∫[2x,1-x] 24xy dy dx

= 7/36

Accordingly, the likelihood that the extent of homegrown tobacco is over two times the extent of the Turkish tobacco is 7/36

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The complete question is:

A tobacco company produces blends of tobacco, with each blend containing various proportions of Turkish, domestic, and other tobaccos. The proportions of Turkish and domestic in a blend are random variables with joint density function (X = Turkish and Y = domestic) 24xy ;0< x, y < 1, x +y<1 fx.y(1,7) (2) ; otherwise (a) (1 point) Find the probability that in a given box the Turkish tobacco accounts for over half the blend. Page 2 (b) (1 point) Find the marginal density function for the proportion of the domestic tobacco. (c) (1 point) Find the probability that the proportion of Turkish tobacco is less than 1/8 if it is known that the blend contains 3/4 domestic tobacco. (d) (2 points) Find the probability that the proportion of domestic tobacco is more than twice the proportion of the Turkish tobacco.

Answer:

(x+6)^2+(y-7)^2= 29

Step-by-step explanation:

general exqn-> (x-h)^2+(y-k)^2=(r)^2

here, h= -6 and k=7

r= √ 29

Therefore, exqn of circle=

(x+6)^2+(y-7)^2= 29

Answer:

(x + 6)² + (y - 7)² = 29

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 6, 7 ) and r = \(\sqrt{29}\) , then

(x - (- 6) )² + (y - 7)² = (\(\sqrt{29}\) )² , that is

(x + 6 )² + (y - 7 )² = 29

Answer:
V = 180 (vans)

S = 90 (small trucks)

L = 40 (large trucks)

Step-by-step explanation:

Set up the variables: Let V represent the number of vans, S represent the number of small trucks, and L represent the number of large trucks.

Write the equations:

V + S + L = 310 (total number of vehicles)

V = 2S (twice as many vans as small trucks)

35,000V + 70,000S + 60,000L = 15,000,000 (total cost of the vehicles)

Substitute equation 2) into equation 1):

2S + S + L = 310

3S + L = 310

Simplify equation 3) by substituting V = 2S:

70,000S + 70,000S + 60,000L = 15,000,000

140,000S + 60,000L = 15,000,000

Set up a system of equations:

3S + L = 310

140,000S + 60,000L = 15,000,000

Eliminate L by multiplying equation 1) by 60,000:

60,000(3S + L) = 60,000(310)

180,000S + 60,000L = 18,600,000

Subtract equation 2) from the new equation:

(180,000S + 60,000L) - (140,000S + 60,000L) = 18,600,000 - 15,000,000

40,000S = 3,600,000

Solve for S:

S = 90

Substitute the value of S into equation 1) to solve for L:

3(90) + L = 310

270 + L = 310

L = 40

Substitute the values of S and L into equation 2) to solve for V:

V = 2S

V = 2(90)

V = 180

The final answer is:

V = 180 (vans)

S = 90 (small trucks)

L = 40 (large trucks)

Answer:

180 Vans 90 Small trucks and 40 Large trucks

Step-by-step explanation:

The line which is on the same plane can be parallel, two lines are never parallel when they are in different planes, so option C is correct.

An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.

Given:

The given planes are A and B,

A new line, p, is drawn parallel to line l,

Line l in the diagram is located on plane A. Line p must be drawn on plane A in order to be parallel to line l. As a result, line p, which is located on plane B, will be perpendicular to line n and parallel to lines l and n.

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The image of the remaining question is attached below.

Answer:

See below for proof

Step-by-step explanation:

\(\displaystyle \frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{(1-\cos x)(1+\cos x)}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{1-\cos^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{\sin^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{1+\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\frac{1}{\sin x}+\frac{\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\csc x+\cot x\)

Answer:

hebsbbsbshsdbdbdjdjsjjdjdjdjbbfa I rbjf

Answer:

at least put the possible answers

The value of the variable x is 5

Using the Pythagorean theorem which states that the square of hypotenuse side is equal to the sum of the squares of the other two sides. we have that;

a²= b² + c²

Now, substitute the values, we get;

13² = 12² + c²

find the squares

169 = 144 + c²

collect like terms

c² = 25

find the square root

c = 5

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Answer: -0.333 repeating

Step-by-step explanation:

5/9 x -3/5 = -0.3 repeating decimal

Your answer for this would be -0.333 repeating decimal, which converts to ~-1/3 ! I hope this helps lol :)

Answer:

2.5, 2.05, 0, -5, -15

Step-by-step explanation:

for negative numbers the bigger is worth less

Answer:

5.25 lb

Step-by-step explanation:

Answer:

Step-by-step explanation:

Function representing the bacterial growth has been given as,

\(b_1(t)=1200(1.8)^t\)

a). Here 1200 represents the initial number of bacteria taken for the study (1).

b). 1.8 represents the growth factor by which the population of the bacteria is multiplying.

c). Second study is modeled by the function given as,

  \(b_2(t)=1000(1.8)^t\)

  Here, initial population of bacteria = 1000

  Difference in 1200 and 1000 in two studies means → Second study was conducted on 1000 bacteria while in study (1) number of bacteria were 1200.

The length of side x is approximately 24.87, rounded to the nearest hundredth.

how can we find side of the triangle?

To find the length of side x, we can use the sine function, which relates the opposite side to an angle to the hypotenuse:

sin(11°) = opposite side/hypotenuse

Rearranging this equation, we get:

opposite side = sin(11°) * hypotenuse

We know that the hypotenuse has a length of 130, so we can substitute that in:

opposite = sin(11°) * 130

Using a calculator, we can evaluate sin(11°) to be approximately 0.1919, so we can substitute that in as well:

opposite = 0.1919 * 130

Simplifying this expression, we get:

opposite ≈ 24.87

Therefore, the length of side x is approximately 24.87, rounded to the nearest hundredth.

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The surface area of the surface generated by rotating the curve y = x² about the y-axis, and we found that the surface area is approximately 54.33 square units.

In this case, the curve we want to rotate is y = x², and we want to rotate it about the y-axis. To use the formula above, we need to express the equation of the curve in terms of x. Therefore, we need to rewrite y = x² as x = √y.

Next, we need to find the derivative of x = √y with respect to y, which is:

dx/dy = 1/2√y

Substituting this into the formula for the surface area, we get:

Surface Area = 2π ∫[0,4] √y √(1+(1/2√y)²) dy

Simplifying the expression inside the square root, we get:

Surface Area = 2π ∫[0,4] √(y+(1/4)) dy

We can evaluate this integral using the power rule of integration, which gives:

Surface Area = 2π [2/3(y+(1/4))^(3/2)]₀⁴

Simplifying further, we get:

Surface Area = 2π [2/3(17/4)^(3/2)]

Surface Area ≈ 54.33 square units

Therefore, the surface area of the surface generated by rotating the curve y = x² about the y-axis is approximately 54.33 square units.

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Complete Question:

How do you find the area of the surface generated by rotating the curve about the y-axis y = x^2 , 0 ≤ x ≤ 2 ?

Answer:

2520

Step-by-step explanation:

There are 7 letters in MCHNLRN and they can be arranged into 7 ways:

7! = 5040 ways in total

However, the letter 'N' is repeated so we have to divide it by 2.

5040 ÷ 2 = 2520 ways

Answer:

2,520 ways

Step-by-step explanation:

MCHNLRN has 7 letters with one repetition.

therefore, =7!/2!

=2,520 ways

Problem

Determine if the following equation has "One Solution", "No Solutions", or "Infinite Many Solutions".

5x + 9 = 5x – 4

Solution

we have the following equation given:

5x + 9 = 5x – 4

If we subtract in both sides of the equation 5x we got:

9 = -4

Since 9 is not equal to -4 we can conclude that this equation has no solutions and the best answer would be:

No Solutions

Answer:

We have

tan 12.5  = 60 / adj       rearrange  as

adj = 60 / tan 12.5  = about 270.64 m

Step-by-step explanation:

Mark me brainllest

Answer:

Step-by-step explanation:

area = a² × √(25 + 10√5) / 4, where a is a side of a regular pentagon.

The exact answer without rounding is 146.14179 in2

The area of a hexagon can be calculated by finding the area of one of the six triangles that make it up by 6.

I added a picture below on how I got it and how it looked like!

—————

Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle

—————

Answer:

Hello

Step-by-step explanation:

The answer is 6 1/2