A step that has a height of 6 inches. A ramp starts 5 feet away from the base of the step,making a 5.7 angle with ground. what can you say about the angle the ramp would make with the ground if the starts closer to the step?

Answer:

f(x)=7

Explanation

The derivative of the function F(x) = x³ - x² + x - 1, f'(2) is 9.

To find the derivative of the function F(x) = x³ - x² + x - 1, we need to take the derivative with respect to x using the power rule.

Applying the power rule to each term of F(x), we get:

F'(x) = d/dx (x³) - d/dx (x²) + d/dx (x) - d/dx (1)

Now, we can find the derivatives of each term:

d/dx (x³) = 3x²

d/dx (x²) = 2x

d/dx (x) = 1

d/dx (1) = 0

Putting it all together, we get:

F'(x) = 3x² - 2x + 1

Now, to find f'(2), we simply plug x = 2 into the derivative:

F'(2) = 3(2)² - 2(2) + 1

F'(2) = 3(4) - 4 + 1

F'(2) = 12 - 4 + 1

F'(2) = 9

So, f'(2) = 9.

Learn more about derivatives here: https://brainly.com/question/31399608

#SPJ3

The auxiliary equation associated with the given differential equation,15y''' + 4y' - 3y = 0 is 15r² + 4r - 3 = 0.

The general solution to the given differential equation is y(t) = C₁e^(2t/3) + C₂e^(-6t/5), where C₁ and C₂ are arbitrary constants.

The given differential equation is 15y''' + 4y' - 3y = 0, where y represents the function of the variable t.

To find the auxiliary equation, we replace the derivatives in the differential equation with powers of the variable r. Let's denote y' as y₁ and y'' as y₂. Substituting these notations, we have 15y₂' + 4y₁ - 3y = 0.

Rearranging the equation, we obtain 15y₂' = -4y₁ + 3y.

Now, let's replace y₂' with r², y₁ with r, and y with 1 in the equation. This gives us 15r² + 4r - 3 = 0, which is the auxiliary equation associated with the given differential equation.

To find the roots of the auxiliary equation, we can either factor or use the quadratic formula. Assuming the equation does not factor easily, we can apply the quadratic formula to find the roots:

r = (-4 ± √(4² - 4(15)(-3))) / (2(15))

r = (-4 ± √(16 + 180)) / 30

r = (-4 ± √196) / 30

r = (-4 ± 14) / 30

Thus, the roots of the auxiliary equation are r₁ = 10/15 = 2/3 and r₂ = -18/15 = -6/5.

The general solution to the given differential equation is y(t) = C₁e^(2t/3) + C₂e^(-6t/5), where C₁ and C₂ are arbitrary constants.

Learn more about roots here:

https://brainly.com/question/16932611

#SPJ11

The linear function which represents the total cost is:

c = 11.95 + 48t

The general form of linear function is:

c = mt + b

where m is the cost per ticket

b is the service fee ($11.95)

Total cost of 4 tickets = $203.95

Cost of 4 tickets without service fee =  $203.95 - $11.95 = $192

Cost per ticket (m) =  $192/4 = 48

Thus, the linear function which represents the total cost will be:

c = 48t + 11.95

c = 11.95 + 48t  (When rearranged)

Learn more about linear function on:

brainly.com/question/29330381

#SPJ1

Answer:

angle

Step-by-step explanation:

An angle consists of two rays joined together.  The rays are joined at the vertex.

Answer:

angle

Step-by-step explanation:

An angle consists of two different rays with a common endpoint.

The value stored in the variable x after the execution of the following code snippet will be b) 2.

The right-click context menu option or a combination of hotkeys can be used to add code snippets, which are compact chunks of reusable code, to a code file. Although try-finally and if-else blocks, for example, are frequently used code blocks found in code snippets, you can also use them to add whole classes or methods.

Learn more about using the templates tool to create reusable emails. Applications and web pages use snippets. Snippets are made to be reusable and to add functionality, like connecting various parts of a program.

To learn more about code snippet: https://brainly.com/question/29845639

#SPJ4

Answer:

A,B,D,E

Step-by-step explanation:

The statements which are true shown below,

From graph attached below, It is observed that

Learn more:

https://brainly.com/question/19742435

The empirical formula of the uranium chloride is UCl₁.

To determine the empirical formula of the uranium chloride, we need to calculate the mole ratio of uranium to chloride in the compound.

First, we need to find the moles of uranium and chloride in the given sample.

Mass of uranium (U) = 0.176 g

Atomic mass of uranium (U) = 238.03 g/mol

Moles of uranium (U) = mass / atomic mass = 0.176 g / 238.03 g/mol ≈ 0.0007387 mol

Since the molar ratio between uranium and chloride is 1:1 in the empirical formula, the moles of chloride will also be approximately 0.0007387 mol.

Next, we can convert the moles of chloride to grams using the molar mass of chloride.

Mass of chloride (Cl) = 0.255 g - 0.176 g = 0.079 g

Now, we can calculate the molar mass of chloride (Cl).

Molar mass of chloride (Cl) = mass / moles = 0.079 g / 0.0007387 mol ≈ 107 g/mol

The empirical formula of the uranium chloride can be determined by dividing the subscripts of each element by their greatest common divisor (GCD). In this case, the GCD of 1 and 1 is 1.

Therefore, the empirical formula of the uranium chloride is UCl₁.

Learn more about   formula from

https://brainly.com/question/657646

#SPJ11

Answer:

Approximately 439.6 square millimeters.

Step-by-step explanation:

The formula for the surface area of a cone is the following:

\(A=\pi r^2+\pi r l\)

Where, r is the radius and l is the slant height.

The radius is 7 and the slant height is 13. We also use 3.14 for π Thus:

\(A=(3.14)(7)^2+(3.14)(7)(13)\\\text{Use a Calculator}\\A\approx 439.6\)

Answer:

292.77

Step-by-step explanation:

πr(r+\(\sqrt{h2+r2}\))

13 x 2 = 26

7 x 2 = 14

26 + 14 = 40

\(\sqrt{40}\) = 6.32

7 + 6.32 = 13.32

3.14 x 7 = 21.98

21.98 x 13.32 =

292.77

The required area of the parallelogram and pentagon is 91 unit² and 75 unit².

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram  = 13 × 7 = 91 unit²

Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
                                 = 5 [1/2 × 5 × 6]

                                 = 75 suqare units.

Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².

Learn more about the surface area here: https://brainly.com/question/2835293

#SPJ1

Answer: The overall average of the weights is 24 pounds.

Step-by-step explanation:

To find the overall average of the weights, we need to calculate the weighted mean. A weighted mean is a type of average that takes into account the number of items or observations in each group.

In this case, we know that the average of the first 3 weights is 20 pounds and the average of the next 12 weights is 25 pounds.

To find the overall average, we will use the following formula:

( (number of items in first group * average of first group) + (number of items in second group * average of second group) ) / (number of items in first group + number of items in second group)

The formula can be applied as:

( (3 * 20) + (12 * 25) ) / (3 + 12) = (60 + 300) / 15 = 360 / 15 = 24

- C

Answer:

\( \frac{29}{9} \)

Step-by-step explanation:

3.2 repeating = 3.2222....

let's make it equal to x

x = 3.2222....

we want to eliminate the infinitely repeating digits, so let's multiply 3.2222.... by 10 and equate it to 10x

3.2222.... × 10 = 32.2222....

10x = 32.2222....

Now we have

x = 3.2222....

10x = 32.2222....

They both have an infinite number of repeating twos so subtract x from 10x to get rid of the repeating digits after the decimal point

Rewriting it as

10x = 32.2222....

x = 3.2222....

10x - x = 9x and 32.2222.... - 3.2222.... = 29

equate both

9x = 29

divide both sides by 9

x = 29/9

Answer:

"With the high level of interest in our 45-70

Step-by-step explanation:

Answer:

How much would it cost to buy 10 pounds of peanuts?

Answer: $35

What is the cost per pound?

Answer: $3.50

Step-by-step explanation:

So first, to find the anser to the first question, we need to find out the second question. So, what is the cost per pound.

Well if she got 4 pounds for $14, we should try dividing 14 by 4.

14 divided by 4 = 3.5 ($3.50)

So the cost per pound is $3.50

Now to find out how much it costs if Lulu bought 10 pounds, we need to multiply.

10 x 3.5 = 35

So if she bought 10 pounds, she would play $35

Answer:

2/21+6/7 = 20/21

Step-by-step explanation:

2/21+6/7

=2/21+(6*3/7*3)

=2/21+18/21

=20/21

Hope this helps! Comment any questions <3

Answer:

20/21

Step-by-step explanation:

2/21 + 6/7

Get a common denominator of 21

2/21  + 6/7 *3/3

2/21 + 18/21

20/21

Answer

x = 18

You're welcome

Answer:

The answer would be x=18

The solution to the equation is x = -2 or x = 5

The equation is given as

3x^2-9x=30

Rewrite properly as

3x^2 - 9x = 30

Divide through by 3

So, the equation becomes

x^2 - 3x = 10

Rewrite the equation

So, the equation becomes

x^2 - 3x - 10 = 0

Expand the equation

So, the equation becomes

x^2  + 2x - 5x - 10 = 0

Factorize the equation

So, the equation becomes

x(x  + 2) - 5(x + 2) = 0

This gives

(x + 2)(x - 5) = 0

Evaluate

x = -2 or x = 5

Hence, the solution to the equation is x = -2 or x = 5

Read more about equations at

https://brainly.com/question/13763238

#SPJ1

Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

The ratios involved in the ROI formula are the net profit and the investment cost.

The ROI (Return on Investment) formula includes the following ratios:

Net Profit: The net profit represents the profit gained from an investment after deducting expenses, costs, and taxes.

Investment Cost: The investment cost refers to the total amount of money invested in a project, including initial capital, expenses, and any additional costs incurred.

The ROI formula is calculated by dividing the net profit by the investment cost and expressing it as a percentage.

ROI = (Net Profit / Investment Cost) * 100%

Therefore, the ratios involved in the ROI formula are the net profit and the investment cost.

for such more question on  net profit

https://brainly.com/question/4177260

#SPJ8

Answer:

-2

Step-by-step explanation:

-8 + 2 = -6; -6=3y; then -6 divided by 3 = -2

The answer is (8,8).

If x varies directly with the square of y​ and inversely with the cube root of z​, the value of x when y = 1 and z = 27 is x = 1.

Given that,

x varies directly with the square of y​ and inversely with the cube root of z.

For some constant k,

x = k y²/ ∛z

Also, we have, x=24​ when y=4​ and z=8.

24 = k (4)²/ ∛(8)

24 = 16 k / 2

24 = 8k

k = 3

So the equation is,

x = 3y²/ ∛z

When y = 1 and z = 27,

x = 3 (1)²/ ∛(27)

x = 3 / 3

x = 1

Hence the value of x = 1.

Learn more about Direct and Inverse Variation here :

https://brainly.com/question/31742414

#SPJ1

Answer:

Perimeter = 168\(6x^{2} =684\\\\\frac{6x^{2} }{6} =\frac{684}{6} \\\\x^{2} =114\\\\x=12Therefore, the width is 12cmand the length is 6*12cm= 72cmSo the perimeter is 12cm+12cm+72cm+72cm = 168cm\)cm

Step-by-step explanation:

If the length of a rectangle is 6 times greater than the width

We'll take width as x and then length will be 6x since length is 6 times greater than the width

so in order to find the value of x
We'll have to find like this

Answer:

x = 11

x = -4

Step-by-step explanation:

The value of k so that the equation has two equal roots is 4

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

The quadratic equation is given as

kx^2 - 4x + 1

A quadratic equation is represented as

ax^2 + bx + c

This means that

a = k, b = -4 and c = 1

When the equation has equal roots, we have

b^2 = 4ac

So, we have

(-4)^2 = 4 * k * 1

Evaluate

k = 4

Hence, the value of k is 4

Read more about quadratic equations at

https://brainly.com/question/1214333

#SPJ1

Answer:

Step-by-step explanation:

1500

Answer:

13500

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

I'm not sure but like this

(ADC)=16

(ACB)=12

16+2=(DCB)=28

Answer:

16 mph

Step-by-step explanation:

Givens:

4 hours total time

48 miles total distance

So our equation should look like this.

48 = 2x(2) + x(2)

Where x = speed second half of trip.

x = 8

x*2 = 16 mph

hope this helps you.