the top and bottom ends of a windshield wiper blade are 30 inches and 13 inches, respectively, from the pivot point. while in operation, the wiper sweeps through 135°.

Answer:

a) 2.083

b) 4.713

I hope this helps. :) ( I also multiplied them to check)

Answer:  A

Step-by-step explanation:

Answer:

42.68

Step-by-step explanation:

21.34 * 2= 42.68

The solutions for the cube function are x=64 or x= -64.

The main power rules are presented below.

The question gives the equation \(x^{2/3}\)=16, you can rewrite it as: \(\sqrt[3]{x^2}\)=16.

For eliminating the cubic root, you should apply the power 3 ib both sides. See:

\((\sqrt[3]{x^2})^3\)= 16³

x²= 4096

Finally, you have x=64 or x=-64

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Answer:

A integer is any number that is not either a decimal or a fraction (however, both 2.000 and 2/2 are integers because they can be simplified into non-decimal and non-fractional numbers), this includes negative numbers. A whole number is any positive number(0 through infinity) (including non-integers)

Step-by-step explanation:

it's basically a just any number but can't be a decimal or fraction

Answer:

A set of whole numbers and their opposites.

Step-by-step explanation:

...... -4 -3 -2 - 1 0 1 2 3 4......

For the given line, the graph is given below -

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

For the given line,

y = 1/4x + 2

the coordinates will be -

for x = 4, y = 3

(4,3)

for x = 8, y = 4

(8,4)

for x = 0, y = 2

(0,2)

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Delilah is baking cupcakes for her brother's birthday party. She has already made 14 cupcakes and is making 2 cupcakes per hour. How many cupcakes will she have in 10 hours? How many hours does it take to make 20 cupcakes?

From the correlation table , based on the correlation values , then the predictor that would lead to least prediction error in predicting happiness using simple regression is stats class .

What is Predictor Variable ?

The predictor variable is used to predict the future outcome based on some given circumstances. The Other names by which predictor variable is known as "criterion variable" and "explanatory variable" .

the best predictor from the given correlation table is the highest value in the table ; irrespective of the sign .

We have to predict happiness using the simple regression ;

So to find the predictor , we select the row in the happiness row ,

we can see that the biggest value for the happiness row is 0.41 , which is the stats class .

Therefore , The predictor that lead to least prediction error is Stats Class .

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The process of minimizing or maximizing an objective function f(x) parameterized by x is referred to as optimization. In terms of deep learning or machine learning

Finding the values of the parameters of a function (linear regression, logistic regression, etc.) that is used to lower a cost function is done using the optimization process known as gradient descent. The ratio of the vertical change to the horizontal change between any two points on a line is known as the slope (Slope = y/x). It is used to specify the direction of the line as well as its steepness.

When making the modifications to the parameters, we use batch gradient descent, which involves adding up all of the examples from each iteration. Based on the batch size, Mini-batch Gradient Descent adds up over fewer samples. Each example's parameters are updated using stochastic gradient descent (SGD).

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The expression to evaluate is 2xe^y, where x and y are functions of t, and the initial conditions are given by x(t=0) = x_0 and y(t=0) = y_0.

To evaluate 2xe^y, we substitute the values of x and y in terms of t into the expression. Since x and y are functions of t, we need to know their specific forms or have additional information about them to proceed with the evaluation.

Without knowing the explicit expressions for x and y or any additional information, we cannot provide a specific numerical evaluation of 2xe^y. However, if you have the specific forms of x(t) and y(t) or any other relevant information, please provide them so that we can assist you further in evaluating the expression.

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Solving the given equation,

Substituting the value of x in the original equation,

Thus, x=8 is an extraneours solution.

Answer:

12\(x^{2}\)-5x+10

4\(x^{2}\)+8+8\(x^{2}\)-5x+2

( group like terms )

4\(x^{2}\)+8\(x^{2}\)-5x+8+2

( add 8+2 )

4\(x^{2}\)+8\(x^{2}\)-5x+10

Add similar elements :4\(x^{2}\)+8\(x^{2}\)=12\(x^{2}\)

12\(x^{2}\)-5x+10

Step-by-step explanation:

The base of the triangle is 24 yards, and the altitude is 18 yards.

Let's denote the base of the triangle as 'b' and the altitude as 'h'. We are given that the area of the triangle is 216 square yards and that the altitude is 6 yards shorter than the base.

The formula to calculate the area of a triangle is:

Area = (1/2) * base * altitude

We can substitute the given values into this formula:

216 = (1/2) * b * (b - 6)

To solve for 'b', let's simplify the equation:

432 = b * (b - 6)

Expanding the equation further:

432 = b^2 - 6b

Rearranging the equation to make it a quadratic equation:

b^2 - 6b - 432 = 0

To solve this quadratic equation, we can factor it or use the quadratic formula. Factoring is not straightforward, so let's use the quadratic formula:

b = (-(-6) ± √((-6)^2 - 4 * 1 * -432)) / (2 * 1)

Simplifying further:

b = (6 ± √(36 + 1728)) / 2

b = (6 ± √1764) / 2

b = (6 ± 42) / 2

Now we have two possible values for 'b':

b1 = (6 + 42) / 2 = 48 / 2 = 24

b2 = (6 - 42) / 2 = -36 / 2 = -18

Since the base of a triangle cannot be negative, we disregard the second value.

Therefore, the base of the triangle is 24 yards.

We are also given that the altitude is 6 yards shorter than the base. Thus, the altitude can be calculated as:

h = b - 6

h = 24 - 6

h = 18 yards

Therefore, the base of the triangle is 24 yards, and the altitude is 18 yards.

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Answer:

A coeffient is the first number at the beginning of a problem

Ex.

2Na+3H ---> 4O+5S

2 would be the coeffient of Na

3 would be the coeffient of H

4 would be the coeffient of O

5 would be the coeffient of S

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

B) It is a relation but not a function of X

Explanation:

What Asha did was the vertical line test. This is a test to see if something is a function or not. Since a function can only have one output per input, if the vertical line intersects twice, it is not a function. However it is still a relation. A relation doesn't have to fit the rule that one output only has one input.

Answer:

z is equal to -0.88235294117

Step-by-step explanation:

so you first need to do is z minus 16z which is -17z.

you now have -17z is 15

you need to divide each side by -17z

so -17z divided by -17 is 1 z

and 15 divided by -17 is -0.88235294117

so z is equal to -0.88235294117

Hey there!

z - 16z = 15

-15z = 15

DIVIDE -15 to BOTH SIDES

-15z/-15 = 15/-15

CANCEL out: -15/-15 because that gives you 1

KEEP: 15/-15 because gives you the result of the z-value

SIMPLIFY IT

z = -1

Answer: z = -1

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The length of the arc of the curve from point P to point Q. y = 1/2 x^2, P (−7, 49/2) , Q (7, 49/2) is (50)7 + 1/2 in (√50 + 7/√50 - 7).

The core of calculus in mathematics is the concept of functions. The unique types of relations are the ones with functions. Mathematical functions are represented as a rule that, for each input x, produces a distinct result. Mathematicians refer to a function as being mapped or transformed. Typically, letters like f, g, and h are used to indicate these functions. The collection of all the values that the function is capable of accepting is referred to as the domain. The entire set of values that the associated function's output produces is known as the range. A function's co-domain is the collection of values that could be used as its outputs. Let's explore the world of arithmetic functions.

Given

Function

y = x²/2

Differentiate with respect to x

dy/dx

= d/ dx x²/2

= 1/2 d/dx x²

= 1/2 2x

= x

Squaring both sides,

(dy/dx)² = x²

Adding 1 on both sides,

1 + (dy/dx)² = 1 + x²

√1 + (dy/dx)² = √1 + x²

The length of the curve is given by,

S = ∫₋₇⁷ √1 + (dy/dx)² dx

S = ∫₋₇⁷ √1 +x² dx

Let

I = ∫ √1 + x²dx

Take x = tan∅

dx/d∅ = d/d∅ tan∅

= sec²∅

dx = sec²∅/d∅

Substitute x = tan∅ and dx = sec²∅ d∅

I =

∫√1 + tan²sec²d∅

∫ √sec²∅sec²d∅

∫ sec∅ sec² ∅d∅

Substituting,

∫₋₇⁷ √1 + x²

(1/2 (√1+x²)x + in (√1+x² + x )₇⁻⁷

(1/2(√50)7 + in(√50 + 7) - 1/2(√50)(-7) + in(√50 -7))

1/2((√50)(7) + In(√50 + 7) + (√50)7 + In(√50 - 7)

1/2(2(√50)7 + In(√50 + 7/ √50 - 7

(50)7 + 1/2 in (√50 + 7/√50 - 7)

The length of the arc of the curve from point P to point Q. y = 1/2 x^2, P (−7, 49/2) , Q (7, 49/2) is (50)7 + 1/2 in (√50 + 7/√50 - 7).

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The required answer is  the amplitude of the function is 3/4, and the period is (2π)/5.

Explanation:-

To find the amplitude and period of the function y = (3/4)cos(5x), follow these steps:

1. Identify the standard form of the function: y = A*cos(Bx), where A is the amplitude and the period is given by (2π)/B.
2. In your function, y = (3/4)cos(5x), compare it to the standard form and determine the values of A and B.
3. For amplitude, A = 3/4. This is the value that determines the maximum displacement from the x-axis.
4. For period, B = 5. Use the formula for period: Period = (2π)/B, and substitute B with the value found.
5. Calculate the period: Period = (2π)/5.

To find the amplitude and period of the function y=3/4 cos(5x), we can use the following formulas: Amplitude = |a| where a is the coefficient of the cosine function Period = 2π/b where b is the coefficient of x in the cosine function Using these formulas, we can see that the amplitude of y=3/4 cos(5x) is |3/4| = 3/4, since the coefficient of the cosine function is 3/4. The period of y=3/4 cos(5x) is 2π/5, since the coefficient of x in the cosine function is 5. Therefore, the period of the function is 2π/5.
So, the amplitude of the function is 3/4, and the period is (2π)/5.

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Answer:

Step-by-step explanation:

A binomial might look like x + 2.  Note how it has two terms.  " bi' " is a prefix meaning " two. "

A trinomial might look like 2x^2 - x + 1.  It has three terms.

Answer:

y = x + 5

Step-by-step explanation:

Slope: m = (y2-y1)/(x2-x1)

m = (16 - 5)/(9 - 0) = 9/9 = 1

Using m = 1, y = 5, x = 0

then y = mx + b

5 = 1(0) + b

b = 5

so y = x + 5

The correct answer is: c. The n-th error term (e_n) can be predicted with e_n = 0.91 * e_n - 1.

This statement indicates that there is a correlation or relationship between consecutive error terms, where the n-th error term can be predicted based on the previous error term. In a simple linear regression model, the error terms are assumed to be independent and have no correlation with each other.

However, if there is a correlation between the error terms, it violates the assumption of independence, which can lead to biased and unreliable regression results. Therefore, this condition suggests that the result from the simple linear regression model could be potentially misleading.

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This is a false dilemma, also known as a black-and-white fallacy, which presents only two extreme options and assumes that there are no other alternatives.

In this case, the dilemma suggests that the only two choices for the Mitchells are to get a divorce or to stay married, and both options have negative outcomes. However, there may be other alternatives that are not considered in this dilemma, such as counseling, financial planning, or other ways to improve their relationship and financial situation.

A possible refutation could be constructing a counterdilemma, such as:

Are there no other alternatives for the Mitchells to consider besides getting a divorce or staying married? What if they sought professional counseling or financial advice to address their issues?

Are poverty and misery the only possible outcomes for the Mitchells if they get a divorce or stay married? What if they found ways to improve their financial situation or relationship while living apart or together?

By questioning the premise of the dilemma and considering other options, we can escape between the horns or grasp the situation by the horns and find a better solution.

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Answer:

34 weeks

Step-by-step explanation:

Hello!

We can set up an equation to solve for the number of weeks.

Let w = the number of weeks he is saving up.

The equation is \(315 = 115 + 10w - 140\)

He needs to save up for 34 weeks.

The original number of men and women on the train when it left Erie is 33 and 66 respectively.

A word problem in maths is a maths question written as one sentence or more that requires children to apply their maths knowledge to a 'real-life' scenario.

To find the original number of men and women on the train, solve the word problem.

Step 1:

Step 2:

If at  York, 17 men get on, then the number of men in the train will increase to y+17

And at the same York, 16 women get off, then the number of women in the train decrease to 2y-16.

Step 3:

It there are now the same number of men and women in the the train

Then,

Step 4:

Solve for the value of y in equation 1 above.

The original number of women = 33×2 = 66.

Hence, the original number of men and women on the train is 33 and 66 respectively.

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Answer:

The answer is 6.

The change in temperature during the sleep over was 6°F.

Step-by-step explanation:

-1-(-7) = -1 + 7

=6

Answer:

64

Step-by-step explanation:

(2^3)^2 = (8)^2 = 64

Answer:

x = 35.20735

Step-by-step explanation:

Use tanФ = opposite/adjacent

tan58 = x/22

x = 35.20735