Pls help me I am stuck I. This question

Answer:

x = 38

Step-by-step explanation:

180° - 142° = 38 °

....

The equation of the tangent line to the serpentine curve at the point (3, 0.30) is y = -0.08x + 0.54.

To find the equation of the tangent line to the serpentine curve at the point (3, 0.30), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of the function y = x/(1 + x²) and evaluating it at x = 3.

Taking the derivative of y = x/(1 + x²) with respect to x, we get:

dy/dx = (1 + x²)(1) - x(2x)/(1 + x²)²

= (1 + x² - 2x²)/(1 + x²)²

= (1 - x²)/(1 + x²)²

Now, let's evaluate the derivative at x = 3:

dy/dx = (1 - (3)²)/(1 + (3)²)²

= (1 - 9)/(1 + 9)²

= (-8)/(10)²

= -8/100

= -0.08

So, the slope of the tangent line at the point (3, 0.30) is -0.08.

Next, we can use the point-slope form of the equation of a line to find the equation of the tangent line. The point-slope form is:

y - y₁ = m(x - x₁),

where (x₁, y₁) is the given point on the line and m is the slope.

Using the point (3, 0.30) and the slope -0.08, we have:

y - 0.30 = -0.08(x - 3).

Simplifying, we get:

y - 0.30 = -0.08x + 0.24.

Now, rearranging the equation to the slope-intercept form, we have:

y = -0.08x + 0.54.

So, the equation of the tangent line to the serpentine curve at the point (3, 0.30) is y = -0.08x + 0.54.

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after rotation, the points will become (0, 6), (8, 2) and (3, -8).

Rotation 180 degrees about the origin:

Point (x, y) will become (-x, -y)

So, here the points of the triangle are:

(0, -6)

(-8, -2)

(-3, 8)

These will become:

(0, 6)

(8, 2)

(3, -8)

Therefore, after rotation, the points will become (0, 6), (8, 2) and (3, -8).

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Answer: y=-0.5x-8

Step-by-step explanation:

Choose two points on the line: (0,-8) and (-6,-5)

Hence,

x₁=0   x₂=-6   y₁=-8   y₂=-5

\(\displaystyle\\The\ slope=\frac{y_2-y_1}{x_2-x_1}\\\\The\ slope=\frac{-5-(-8)}{-6-0} \\\\The\ slope=\frac{-5+8}{-6} \\\\The\ slope=\frac{3}{(3)(-2)}\\\\The\ slope=\frac{1}{-2} \\\\The\ slope=-\frac{1}{2}\\\\The\ slope=-0.5\)

\(y=kx+b\\k=the\ slope=-0.5\\(0,-8) \ hence,\\-8=-0,5*0+b\\-8=0+b\\-8=b\\Thus,\\y=-0.5x-8\)

The algebraic expression that is equivalent to (4x + 12) + 9x is:  C. (4x + 9x) + 12.

Algebraic expressions are equivalent to each other if they have he same value when simplified or evaluated.

Given the expression, (4x + 12) + 9x, we have:

4x + 12 + 9x

Add like terms

13x + 12

Also, simplifying (4x + 9x) + 12, we give us the following:

4x + 9x + 12

13x + 12

Therefore, the algebraic expression that is equivalent to (4x + 12) + 9x is:  C. (4x + 9x) + 12.

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Answer:

h=2

Step-by-step explanation:

7h=−(2h−18)

Distribute the minus sign

7h = -2h +18

Add 2h to each side

7h +2h = -2h+2h +18

9h = 18

Divide each side by 9

9h/9 =18/9

h =2

Answer:

h = 2

I got it right on Kahn Academy

Step-by-step explanation:

3³⁸ - 3³⁷

= 3³⁷(3 - 1)

= 2 * 3³⁷

= 2 / [3^(-37)].

Hence x = -37.

Number line can be found in the picture attached below

Answer:

The claim is incorrect ; Point S will be located to the left of Point P

2.5 > 1.25

Step-by-step explanation:

Location of point S = 5/4 = 1 1/4 = 1.25

From the number line ; location of point P = 2.5

Point S is lesser than P, therefore, point S would be located to the left of point P on the number line.

Inequality that describes the relationship between the value of point P and point S ;

Point P = 2.5 ; Point S = 1.25

Point P > Point S

2.5 > 1.25

Answer:

Speed of plane in still air = 780 km/h

Speed of air = 52 km/hr

Step-by-step explanation:

Let the speed of plane in still air = u km/h

Let the speed of air = v km/h

Against the air, the resultant speed = (u-v) km/hr

With the air, the resultant speed = (u+v) km/hr

Formula for speed is given as:

\(Speed = \dfrac{Distance}{Time }\)

Given that:

Distance = 5824 km

Time taken against the wind = 8 hours

Speed against the wind:

\(u-v = \dfrac{5824}{8} \\\Rightarrow u-v = 728 ...... (1)\)

Time taken with the wind = 7 hours

Speed with the wind:

\(u+v = \dfrac{5824}{7} \\\Rightarrow u+v = 832 ...... (2)\)

Adding (1) and (2):

\(2u=1560\\\Rightarrow u = 780\ km/hr\)

By equation (1):

\(780-v=728\\\Rightarrow v = 52\ km/hr\)

Speed of plane in still air = 780 km/h

Speed of air = 52 km/hr

Answer:

esla  de f                     b

Step-by-step explanation:

Answer:

\(\displaystyle y = \frac{t^2}{16} + 18\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Calculus

Derivatives

Derivative Notation

Antiderivatives - Integrals

Integration Constant C

Integration Rule [Reverse Power Rule]:                                                                   \(\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C\)

Integration Property [Multiplied Constant]:                                                             \(\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx\)

Step-by-step explanation:

Step 1: Define

Identify

Point (0, 18)

\(\displaystyle \frac{dy}{dt} = \frac{1}{8} t\)

Step 2: Find General Solution

Use integration

Step 3: Find Particular Solution

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Integration

Book: College Calculus 10e

Answer:

Use: sin

h= 78.8

Step-by-step explanation:

Answer:

Step-by-step

3

This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

A = (5 x 2)

A = 10 square units.

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

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26.32 is the result when the number 28 is decreased by 6%.

What is percent decrease?

Calculate the % of the amount to be increased or decreased, and then either add the result to the amount to make it larger or subtract it to make it smaller.

First to calculate the 6% of 28.

Multiply 28 by 6%,

\(28(0.06) = 1.68\)

Now subtract this amount from 28,

\(28 - 1.68 = 26.32\)

Therefore, 26.32 is the result when the number 28 is decreased by 6%.

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We are evaluating a project that costs $786,000, has an eight-year life, and has no salvage value. Assume that depreciation is straight-line to zero over the life of the project. Sales are projected at 65,000 units per year. Price per unit is $48, variable cost per unit is $25, and fixed costs are $725,000 per year. The tax rate is 22 percent, and we require a return of 10 percent on this project

The tax rate for 10% is IRR = 78%.

The Initial evaluating cost is $786000 and the

Depreciation expense per year will be  = $786,000 / 8 = $98,250.

and the contribution margin per unit = $48 - $25 = $23

total units sold  Projected per year = 65,000

fixed costs  will be per year = $725,000

At Present the tax rate = 22%

Net cost fixed per year  = -$786,000

Net Cost Fixed year 1-8 = {[($23 x 65,000) - $98,250 - $725,000] x 0.78} + $98,250 = $622,215

Net Per Variable  = $2,533,471.10

Hence the answer is, The tax rate for 10% is IRR = 78%.

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Answer:

Constants are 3, 2, and 9 because they are alone without a variable. 4 Would be a coefficient because it has a variable.

Step-by-step explanation:

Answer- 33

We are told that A=6, there for we can right out our equation fully.

(5 x 6)+3. Our multiplication sentence with go in parentheses ( ) so we know to do that part of our equation first.  5 times 6 is 30. After we multiply we add our outside number(s). 30 plus 3 is 33. Which means the solution to the equation is 33.

5a +3= 33 or (5x6) +3 = 33

Hope this helps! and GOOD LUCK.

Answer:

y= 2/5x+3.6

Step-by-step explanation

used the formula

mark brainlist pls

Answer:

Hill 1: F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 2: F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 3: F(x) = 4(x - 2)(x + 5)

Step-by-step explanation:

Hill 1

You must go up and down to make a peak, so your function must cross the x-axis six times. You need six zeros.

Also, the end behaviour must have F(x) ⟶ -∞ as x ⟶ -∞ and F(x) ⟶ -∞ as x⟶ ∞. You need a negative sign in front of the binomials.

One possibility is

F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 2

Multiplying the polynomial by -½ makes the slopes shallower. You must multiply by -2 to make them steeper. Of course, flipping the hills converts them into valleys.

Adding 3 to a function shifts it up three units. To shift it three units to the right, you must subtract 3 from each value of x.

The transformed function should be

F(x)  = -2(x +1)(x)(x -2)(x -3)(x - 6)(x - 7)

Hill 3

To make a shallow parabola, you must divide it by a number. The factor should be ¼, not 4.

The zeroes of your picture run from -4 to +7.

One of the zeros of your parabola is +5 (2 less than 7).

Rather than put the other zero at ½, I would put it at (2 more than -4) to make the parabola cover the picture more evenly.

The function could be

F(x) = ¼(x - 2)(x + 5).

In the image below, Hill 1 is red, Hill 2 is blue, and Hill 3 is the shallow black parabola.

Hello,

I hope you and your family are doing well!

To calculate the amount of interest earned on a savings account, you can use the following formula:

interest = principal * rate * time

In this case, the principal is $9,500, the rate is 3.75%, and the time is 1 year. Plugging these values into the formula, we get:

interest = $9,500 * 3.75% * 1 year = $356.25

So, in a year, Alice would earn $356.25 in interest on her savings account.

-----

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The claim that the population mean is less than 125 (Option E) would

the interval tends to refute.

The 90% confidence interval for the population mean is 135 to 160. This means that if we were to repeat the process of taking samples from the same population and constructing a 90% confidence interval, we would expect 90% of the intervals to contain the true population mean.

With this in mind, let's consider each claim:

A. The interval does not rule out the possibility that the population mean is more than 110, as 110 is less than the lower bound of the interval.

B. The interval does not rule out the possibility that the population mean is less than 150, as 150 is greater than the upper bound of the interval.

C. The interval does not rule out the possibility that the population mean is between 140 and 150, as both of these values fall within the interval.

D. The interval does not rule out the possibility that the population mean is more than 140, as 140 is less than the upper bound of the interval.

E. The interval refutes the claim that the population mean is less than 125, as 125 is less than the lower bound of the interval.

Therefore, the answer is (E) The population mean is less than than 125.

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Answer:

Step-by-step explanation:

comp is 90

sup is 180

The complete question is

"Find the general solution of the given differential equation

y''-y=0, y1(t)=e^t , y2(t)=cosht

The function \(y(t)=e^t\)  is the solution of the given differential equation.

The function y(t)=cosht is the solution of given differential equation.

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

\(y_1(t) = e^t\)

Given differential equations are,

y''-y = 0

 So that,  

\(y' (t) = e^t, y'' (t) = e^t\)

Substitute values in the given differential equation.

\(e^t -e^t=0\)

Therefore, the function \(y(t)=e^t\)  is the solution of the given differential equation.

Another function;

\(y(t)=cosht\)  

So that,  

\(y"(t)=sinht\\\\y"(t)=cosht\)

Hence, function y(t)=cosht is solution of given differential equation.

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Answer:

The answer is -164.37 dollars in there bank account.

Step-by-step explanation:

you subtract the two fees first and then you subtract the two deposits from the bank and then you have your answer. I hope that this helps you :)

Answer:

239

Step-by-step explanation:

239 because do the answers in the parenthesis first then do the rest.

Answer:

tan A = 6

Step-by-step explanation:

tan = opposite side/adjacent side

tan A = 6/1 = 6

If f(x, y, z) = xyzi + yj + zk, the divergence of the curl of the vector field f is zero.

To find the divergence of the curl of the vector field f(x,y,z) = xyzi + yj + zk, we first need to compute the curl of f, which is given by:

curl f = (∇ × f) = ∂(zk)/∂y - ∂(yj)/∂z + (∂(yj)/∂x - ∂(xyzi)/∂y)k + (∂(xyzi)/∂z - ∂(zk)/∂x)j + (∂(zk)/∂x - ∂(yj)/∂y) i

Simplifying this expression, we get:

curl f = (-z)i + xj + yk

Next, we need to find the divergence of the curl of f, which is given by:

div(curl f) = ∇ · (∇ × f) = ∂(∂(zk)/∂y - ∂(yj)/∂z)/∂x + ∂(∂(yj)/∂x - ∂(xyzi)/∂y)/∂y + ∂(∂(xyzi)/∂z - ∂(zk)/∂x)/∂z

Substituting the values from the curl f expression, we get:

div(curl f) = ∂(-z)/∂x + ∂(x)/∂y + ∂(y)/∂z

Simplifying this expression, we get:

div(curl f) = 0

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