17. Given f(x) = 3x - 1, find f(2)

Answer:

0.110 its best if you wait for more responses

Step-by-step explanation:

1.99 divided by 18 is 0.110

Answer:

184

Step-by-step explanation:

The prime numbers between 40 and 56​ are 41, 43, 47, and 53.

Add the prime numbers.

41 + 43 + 47 + 53

= 184

Answer:

184

Step-by-step explanation:

Prime numbers between 40 and 56: 41, 43, 47, 53.

41+43+47+53=

84+47+53=

131+53=

184

Answer:

Input 4 , Output 6

Input 2 , Output 5

Input 6 , Output 2

Input 1 , Output 0

Step-by-step explanation:

The input is the X, The output is the Y.

Answer:

0.032

Step-by-step explanation:

Answer:  0.03284281007

Step-by-step explanation:

The amplitudes of functions are a) 8 and b) 6.

Given are the functions we need to determine the amplitude of function,

a) y = 8 Sin (x/2) + 3

b) y = 6 Cos x + 2

So,

To determine the amplitude of a trigonometric function, you can follow these steps:

For a sine function of the form y = A×sin(Bx + C) + D:

The amplitude is equal to the absolute value of the coefficient A.

For a cosine function of the form y = A×cos(Bx + C) + D:

The amplitude is equal to the absolute value of the coefficient A.

Let's apply these steps to the given functions:

a) y = 8×sin(x/2) + 3

The coefficient of sin in this function is 8, so the amplitude is |8| = 8.

Therefore, the amplitude of function a) is 8.

b) y = 6×cos(x) + 2

The coefficient of cos in this function is 6, so the amplitude is |6| = 6.

Therefore, the amplitude of function b) is 6.

Hence the amplitudes of functions are a) 8 and b) 6.

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Answer:

a ) dAt/dt  =  50,24 in/min

dh/dt  =  -  0,125 in/min

Step-by-step explanation:

The area of the top is At :

At = π*r²

a)  Tacking derivatives with respect to time:

dAt/dt  =  2* π*r * dr/dt

At   t  =  t₁      r  = 16 in     and  dr/dt =  0,5

Then

dAt/dt  =  2*3,14*16*0,5   in/min

a ) dAt/dt  =  50,24 in/min

b) The volume of the cylinder is:

Vc =  π*r²*h     ( where h is the heigh of the cylinder )

Tacking derivatives with respect to time

dVc/dt  =  2* π*r*h*dr/dt  +  π*r²*dh/dt

But  dVc/dt  = 0  since the volume remains constant, then:

π*r²*dh/dt  = -  2* π*r*h*dr/dt

r*dh/dt  =  -  2*h*dr/dt

dh/dt  = - 2*0,5*2/16  in/min

dh/dt  =  -  0,125 in/min

Answer:

Step-by-step explanation:

a) Let's denote the number of coffees sold as 'x' and the number of cappuccinos sold as 'y'.

The equation that represents the given information is:

2.50x + 3.75y = 222.50

b) To solve the equation, we need to find the values of 'x' and 'y' that satisfy the equation.

Since we have two variables and only one equation, we cannot determine the exact values of 'x' and 'y' independently. However, we can find possible combinations that satisfy the equation.

Let's proceed by assuming values for one of the variables and solving for the other. For example, let's assume 'x' is 40 (number of coffees):

2.50(40) + 3.75y = 222.50

100 + 3.75y = 222.50

3.75y = 222.50 - 100

3.75y = 122.50

y = 122.50 / 3.75

y ≈ 32.67

In this case, assuming 40 coffees were sold, we get approximately 32.67 cappuccinos.

We can also assume different values for 'x' and solve for 'y' to find other possible combinations. However, keep in mind that the number of drinks sold should be a whole number since it cannot be fractional.

Therefore, one possible combination could be around 40 coffees and 33 cappuccinos sold.

Answer:

Here are the angles in each quadrant with a common reference angle of 165°:

First quadrant: angle is 15° (subtract 165° from 180°)

Second quadrant: angle is 195° (subtract 165° from 180° and add the result to 180°)

Third quadrant: angle is 195° (subtract 165° from 180° and then subtract the result from 180°)

Fourth quadrant: angle is 195° (subtract 165° from 360°)

Answer:

2.75

Step-by-step explanation:

So lets work this out:

First, we will need to convert 85 cm to meters. That would be 0.85 meters.

Now we can take 0.85 meters and subtract it from 3.6. This equals 2.75.

A plank of wood is 3.6 meters long. 85 cm is sawn off.  How long is the remaining plank? 2.75 meters

Also no thank you I am a lady

Answer:

32 goldfish

Step-by-step explanation:

Given:

Number of fish per tank = water per tank ÷ water per goldfish

                                        = 5544 ÷ 1386

                                        = 4

Therefore, each tank can hold a maximum of 4 goldfish.

Greatest number of goldfish = number of tanks × fish per tank

                                               = 8 × 4

                                               = 32

Answer:

4.50 is for two scoops and a normal cone. Upgrades on cone is $0.50 and any additional toppings are also $0.50

Answer:5 × t = 6

Step-by-step explanation:

Step 1: 4.50 + 0.50 = 5

Step 2: We has 5t is 5 × t

Step 3: 5 × t = 6

Answer: C, 2 3/5

Step-by-step explanation:

7 1/5 = 6 6/5 (1 is equal to 5/5 so we take that from the 7 and add it to the fraction)

4 3/5 remains the same because this is what we are subtracting

7 1/5 - 4 3/5 will be subsituted for 6 6/5 - 4 3/5=? because it's equivilant

I like to break this into two parts to make it less complicated, fraction then number

This will give you the proper fraction for the result of your equation

2+3/5=2 3/5

2 3/5

Based on the question:

x = number of bags Megan plans to make

y = total number of cookies Megan needs to bake

The equation y = 8x means that for every bag of cookies, Megan has to bake 8 cookies. For example, if Megan wants to make 2 bags, she has to bake 16 cookies.

Now, looking at the table that Heidi recorded, we can divide the number of cookies by the number of bags to see much Heidi needs to bake for every bag. See table below.

As we can see in the table above, for every bag of cookies, Heidi only needs to bake 6 cookies.

Therefore, if they are going to make the same number of bags of cookies, Heidi will have to make the least amount of cookies. (Option 1)

Example: 6 bags of cookies

Megan has to bake 6 bags x 8 cookies = 48 cookies.

Heidi has to bake 6 bags x 6 cookies = 36 cookies only.

Whwn the line of sight from the park ranger station, P, to the lifeguard chair, L, the length of PL is 0.76 miles.

It should be noted that since the line of sight from the park ranger station, P, to the lifeguard chair, L, on the beach of a lake is perpendicular to the path joining the campground, C, and the first aid station, F, then the path from the park ranger station to the lifeguard chair is the hypotenuse of a right triangle with legs of 0.35 miles and 0.65 miles.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. Therefore, the length of PL is equal to:

= ✓(0.35² + 0.65²)

= 0.76 miles.

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Answer:

Step-by-step explanation:

3/4 : 1/8 =

3/4 x 8 =

24/4 =

6

I Think Operation A is write

(Option D.) Shows the distribution of sample means from all possible samples given size.

A sampling distribution is a probability distribution of a statistic computed from a random sample of a population.

It shows the distribution of the sample means from all possible samples given size. This is helpful when trying to understand the behavior of a statistic and to make inferences about the population from which the sample was drawn. The sampling distribution will approximate the shape of the population distribution as the sample size increases. It also provides a way to estimate the variability of the statistic, which can be used in hypothesis testing.

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Answer:

The tax rate was 0.8%

Step-by-step explanation:

Set up an equation:

x = tax rate

1000/125000 = x/100

Cross multiply:

1000 × 100 = 125000 × x

100000 = 125000x

0.8 = x

Check your work:

1000/125000 = 0.8/100

0.008 = 0.008

Correct!

Another way to check your work:

1000 × 100 = 125000 × 0.8

100000 = 100000

Correct!

Answer:

  $4918

Step-by-step explanation:

You want the tax owed on $90,000 using the given tax rate table.

The tax is the sum of the amounts of tax due in each income range.

  tax = 0.0575(90,000 -17,000) +0.05(17,000 -5000) +0.03(5000 -3000) +0.02(3000)

  = 0.0575(90,000) -(17000(.0575 -.05) +5000(.05 -.03) +3000(.03 -.02))

  = 0.0575(90,000) -(127.50 +100 +30)

  = 5175 -257.50 = 4917.50

Rounded to the nearest dollar, the tax due is $4,918.

__

Additional comment

The tax will be the maximum of ...

You can compute them all and find the maximum, or you can choose the function applicable to the income amount. The result is the same.

<95141404393>

Answer:

43.6 has 3 significant figures.

Answer:

x=3/4

Step-by-step explanation:

Answer:

X= 3/4

Step-by-step explanation:

Distribute

Combine like terms

Add 2 to both sides of the equation

Simplify

Divide both side s of the equation by the same turm

Simplify

The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%

a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.

b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).

Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).

Now, let's calculate the real interest rate.

Real interest rate in base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)

= 19.22%.

The real interest rate has moved in the direction to move inflation rate towards its target.

c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.

Inflation gap is 0% in both the scenarios

Inflation rate is 3.14% and in scenario C, inflation rate is 2%.

Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)

= 20.15%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.

The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.

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Answer:

A≈166.28cm²

Step-by-step explanation:

Using the formulas

A=33

2a2

P=6a

A=3P2

24=3·482

24≈166.27688cm²

All the solutions are,

⇒ x = 1/2 (w- v)

⇒ x = (b - 9)/(a - 2)

⇒ x = (4 + w) / (7 - v)

⇒ x = 2 / (v + w)

⇒ x = 7v/(3w - 4)

Given that;

Expressions are,

⇒ 6x + v = 4x + w

⇒ ax + 9 = 2x + b

⇒ 7x - w = vx+4

⇒ 6 - wx = vx + 4

⇒ 3(wx - v) = 4(x + v)

We can simplify as;

⇒ 6x + v = 4x + w

⇒ 6x - 4x = w - v

⇒ 2x = w - v

⇒ x = 1/2 (w- v)

⇒ ax + 9 = 2x + b

⇒ ax - 2x = b - 9

⇒ (a - 2)x = b - 9

⇒ x = (b - 9)/(a - 2)

⇒ 7x - w = vx+4

⇒ 7x - vx = 4 + w

⇒ (7 - v) x = 4 + w

⇒ x = (4 + w) / (7 - v)

⇒ 6 - wx = vx + 4

⇒ vx + wx = 6 - 4

⇒ (v + w)x = 2

⇒ x = 2 / (v + w)

⇒ 3(wx - v) = 4(x + v)

⇒ 3wx - 3v = 4x + 4v

⇒ 3wx - 4x = 7v

⇒ (3w - 4)x = 7v

⇒ x = 7v/(3w - 4)

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Answer:

Bananas to apples are 9:7

Plums to apples are 3:7

apples to plums are 7:3

Bananas to plum are 3:1

Step-by-step explanation:

For every Plum there are 3 bananas.

The ratio of apples to plums are 7:3.

For every apple there are 7/9 banana.  

Let x be the number of panels plant A produces and lat y be the number of panels plant B produces.

We knot that plant A produces 4 times as many panels as plant B, this means that:

We also know that 5% of panels produced by plant A are defective, this can be express as:

3% of panels produced by plant B are defective, this can be express as:

And we know that the sum of defective panels is equal to 2530, then we have:

Hence we have the system of equations:

To solve it we plug the value of x from the first equation into the second one and solve for y:

Since y is the number of panels plant B produced we conclude that plant B produced 11,000 panels.

The third side of the triangle 12.5

A triangle is a polygon with three edges and three vertices. The important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.

we the measurements of given two sides of the triangle 16.5 and 29

In a triangle, the sum of any two sides should be greater than the third side and the difference between any two sides should be lesser than that of the third side.

The sum of two sides rule

\(x + 16.5 > 29\\ x > 29 - 16.5\\ x > 12.5\\\)

The difference between the two sides rule

\(29 - 16.5 < x \\ 12.5 < x\)

Therefore, the value of x is 12.5

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The shaded area under the curve is equal to 0.6826.

From the information provided, we have the following parameters:

Mean, μ = 501

Standard deviation, σ = 55.00

In this exercise, you are required the shaded area under the curve and this can be represented or modeled by this mathematical expression:

446 ≤ x ≤ 556

The lower limit (boundary) is equal to 446 i.e x₁ = 446.

The upper limit (boundary) is equal to 556 i.e x₂ = 556.

Next, we would determine the z-score for both limits as follows:

Z-score = (x₁ - μ)/σ

Z-score = (446 - 501)/55.00

Z-score = -55/55.00

Z-score = -1.00

For the upper limit, we have:

Z-score = (x₂ - μ)/σ

Z-score = (556 - 501)/55.00

Z-score = 55/55.00

Z-score = 1.00

By using a z-score calculator, the area is given by:

P(446 ≤ x ≤ 556) = P(-1.00 ≤ x ≤ 1.00)

P(-1.00 ≤ x ≤ 1.00) = P(x ≤ 1.00) - P(x ≤ -1.00)

P(-1.00 ≤ x ≤ 1.00) = 0.6826.

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