A woodworker cuts a board into 5 equal pieces. Each pieces measures 1.871 feet. What was length of the entire board before it was cut? PLEASE SHOW WORK ITS THE 3RD TIME I POST THIS

Answer:

Oh the answer is yes!

Step-by-step explanation:

If you graph (0,0) it will be in the gray area. Therefore, if the point is inside the gray, then the answer is yes.

Explanation: For this question, we can use a drawing to represent the rotation and then another draw to represent the reflection after the rotation.

Step 1: Let's visualize the rotation counter-clockwise first

Step 2: Now let's represent the reflection across a vertical line

Final answer: As we can see the final shape is identical to trapezoid b so the final answer is trapezoid B

The probability of obtaining the observed results or more extreme results under the assumption of the null hypothesis.

The P value is a statistical measure that helps to determine the level of significance of a hypothesis test. In hypothesis testing, the null hypothesis is the initial assumption that is tested against an alternative hypothesis.

The decision criterion for a hypothesis test using the P value is to compare the calculated P value with the specified significance level, denoted by alpha (α).
If the calculated P value is less than or equal to the specified significance level, we reject the null hypothesis.

This means that we have sufficient evidence to support the alternative hypothesis, which is the opposite of the null hypothesis.

The significance level is typically set at 0.05 or 0.01, which means that we are willing to accept a 5% or 1% chance of making a type I error (rejecting the null hypothesis when it is actually true).
It simply means that we do not have enough evidence to reject it at the specified significance level.
In conclusion,

The decision criterion for a hypothesis test using the P value is straightforward.

If the P value is less than or equal to the specified significance level, we reject the null hypothesis.

Otherwise, we do not reject the null hypothesis.

This decision is based on the level of evidence that is provided by the calculated P value.

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Answer:

(-4,-1)

Step-by-step explanation:

If I am reading this question correctly, to find a solution to a graph you find the ordered pair of where the two lines intersect.

these two lines intersect at, (-4, -1)

Use the following terms in your answer,

Student question: when the degree of the numerator is the same as the degree of the denominator, the limit is equal to the ratio of the coefficients.  T/F.

What are the criteria for the limit of the function?                                                                                                                                              The answer is: Always be factually accurate, professional, and friendly. Be concise and do not provide extraneous amounts of detail.

When the degree of the numerator is the same as the degree of the denominator, the limit is equal to the ratio of the coefficients. True. When the degree of the numerator is equal to the degree of the denominator, the limit is equal to the ratio of the coefficients.

This is a basic rule for computing limits of rational functions. To compute the limit of a function when x is approaching a value, substitute x into the function and evaluate it. This is a straightforward approach. It is essential to check whether the limit exists or not. If the limit does not exist, then the function is said to be divergent. If the limit exists, then the function is said to be convergent.

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Answer:

x = 31

Step-by-step explanation:

Exterior Angle Theorem

The exterior angle theorem states that when a triangle's side is extended, the resultant exterior angle formed is equal to the sum of the measures of the two opposite interior angles of the triangle.

In this particular triangle, the angle with measurement 121° is the exterior angle

The two interior angles are x and the one which is 90°

Therefore by the exterior angle theorem,
90° + x° = 121°

Subtract 90 from both sides
x = 121 - 90

giving

x = 31

Answer:

The answer is 30

Step-by-step explanation:

To calculate the original price of an object that is 20% savings, multiply the savings by 0.2 (20x0.2=6)

Answer:

3/5

Step-by-step explanation:

P ( walks or takes the bus) = walks or takes the bus/ total

walks = 10

takes the bus = 25+ 20+5 = 50

There is no overlap

P ( walks or takes the bus) = walks or takes the bus/ total

                                             = (10+ 50)/ 100

                                             = 60/100

                                             =3/5

Answer:3/5

Step-by-step explanation:

Just put the answer in and it’s right

Answer:f

Step-by-step explanation:

its not that hard

The function is concave up for  x < 1 and concave down for x > 1 because the second derivative is positive for x < 1 and negative for x > 1. As a result, the critical point at x  < 1 is a relative maximum.

A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is common to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. A function is an equation that depicts the connection between an input x and an output y, with precisely one output for each input. Another name for input is domain, while another one for output is range.

Here,

The derivative of the function f(x) can be found by taking the derivative of the expression e^(-x) (x^2 + 2x) using the product rule:

f'(x) = -e^(-x) (x^2 + 2x) + e^(-x) (2x + 2) = 2e^(-x) - 2xe^(-x) (x + 1)

Setting f'(x) equal to zero and solving for x gives us the critical points:

0 = 2e^(-x) - 2xe^(-x).(x + 1)

2xe^(-x).(x + 1) = 2e^(-x)

x(x + 1) = e^x

x^2 + x - e^x = 0

Next, we determine the concavity of the function at the critical points by analyzing the second derivative of the function:

f''(x) = 2e^(-x) + 2xe^(-x) + 2xe^(-x).(x + 1) - 2e^(-x).(x + 1)

= 2e^(-x).(1 - x)

Since the second derivative is positive for x < 1 and negative for x > 1, the function is concave up for x < 1 and concave down for x > 1. Thus, the critical point at x < 1 corresponds to a relative maximum.

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The size sample would be needed to estimate the proportion of black with an error of no more than 0.05 and a confidence level of 95% is 289.

The size sample can be calculated with the equation as follows:

\(n=(\frac{Z_{1-\frac{a}{2} }^ }{a})^{2} P (1-P)\)

where,

n = size sample

\(Z_{1-\frac{a}{2} }^{2}\) = 1.96 for \(a\)=0.05

\(P\) = population

\(a\) = margin of error

Therefore,

\(n=(\frac{1.96^{}}{0.05})^{2} 0.25(1-0.25)\)

\(n=(\frac{1.96^{}}{0.05})^{2} 0.25(0.75)\)

\(n=288.12\) ≈ 289

The number of size sample is 289

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A right angle is an angle measuring exactly 90 degrees. A congruent angle is an angle that has the same measure as another angle. Therefore, for two angles to be congruent, they must have the same measure, and if they are right angles, they must each measure exactly 90 degrees.

Since both angles measure exactly 90 degrees, and any two right angles are always equal, the hypothesis that "If two angles are right angles, then they are congruent" is true. A right angle is one of the most common types of angles and is found in a variety of geometric shapes, including squares, rectangles, and triangles.

Because they always measure exactly 90 degrees, they are easy to identify and work with when solving geometry problems. In conclusion, two angles are congruent if they have the same measure, and if they are both right angles, they are also congruent because they both measure exactly 90 degrees.

The hypothesis that "If two angles are right angles, then they are congruent" is true.

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Answer:

C. 32

Step-by-step explanation:

The shipment for 100 parts is received by a manufacturer. Shipment will be rejected if more than 5 parts are defective. The manufacturer selects a sample and based on that selected sample he accepts or rejects the whole shipment. The minimum size of the sample should be 32 based on the probability of less than 0.1 and then  decision should be made whether to accept or reject the shipment. If no defective part is found in the sample, shipment should be accepted.

The expressions are expanded to give;

1. 2x² - 5x

2. 6x² + 8x

3. 6x² - 12xy

Algebraic expressions are defined as expressions consisting of  variables, coefficients, constants, terms and factors.

These expressions are also known to consist of mathematical operations, which includes;

From the information given, we have that;

a. x (2x - 5)

expand the bracket

2x² - 5x

b. 2x (3x+4)

expand the bracket

6x² + 8x

c. 6x(x-2y)

expand the bracket

6x² - 12xy

Hence, the expressions are 2x² - 5x, 6x² + 8x and 6x² - 12xy

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Answer:

1) 2x² - 5x

2) 6x² + 8x

3) 6x² - 12xy

Step-by-step explanation:

1) x ( 2x - 5 )

To expand the above, multiply both terms inside the brackets by x.

2x² - 5x

2) 2x ( 3x + 4 )

To expand the above, multiply both terms inside the brackets by 2x.

6x² + 8x

3) 6x ( x - 2y )

To expand the above, multiply both terms inside the brackets by 6x.

6x² - 12xy

The Exponential function y = 20 * 3^x satisfies the given conditions and passes through the points (0, 20) and (2, 180).

To write an exponential function in the form y = ab^x that passes through the points (0, 20) and (2, 180), we can use the given points to find the values of a and b.

Let's start with the point (0, 20). Substituting the x and y values into the equation, we have:

20 = ab^0

Since any number raised to the power of 0 is 1, we can simplify the equation to:

20 = a(1)

This implies that a = 20.

Now let's use the second point (2, 180) to find the value of b. Substituting the x and y values, we get:

180 = 20b^2

Dividing both sides of the equation by 20, we have:

9 = b^2

Taking the square root of both sides, we find:

b = ±3

Since b represents the base of the exponential function, we can discard the negative value since it would result in a decreasing function. Therefore, b = 3.

Now that we have the values of a and b, we can write the exponential function as:

y = 20 * 3^x

This function will pass through the points (0, 20) and (2, 180). When x = 0, we have:

y = 20 * 3^0

y = 20 * 1

y = 20

And when x = 2, we have:

y = 20 * 3^2

y = 20 * 9

y = 180

Thus, the exponential function y = 20 * 3^x satisfies the given conditions and passes through the points (0, 20) and (2, 180).

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Answer:

18. Its 2 meters.

19. Its 0.2 grams

20. Its 1,920

Step-by-step explanation:

When you convert 200 centimeters to meters its 2.

When you convert 2,000 milligrams in grams its 0.2

15% of 12, 800 is 1,920

Hope this helps:)

Answer:

A and E

Step-by-step explanation:

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\) ← distance formula

it is important that the x and y coordinates are placed correctly, that is not mixed together.

First version

let (x₁, y₁ ) = X (- 5,  4 ) and (x₂, y₂ ) = Y (7, 15 ) , then

XY = \(\sqrt{(7-(-5)^2+(15-4)^2}\) → A

or

Second version

let (x₁, y₁ ) = Y (7, 15 ) and (x₂, y₂ ) = X (- 5, 4 ) , then

XY = \(\sqrt{(-5-7)^2+(4-15)^2}\) → E

Answer:

Game 2

Step-by-step explanation:

Each hit the points would double (point(x2))

Example:

1x2=2, 2x2=4, 4x2=8, 8x2= 16, 16x2=32, and so on.

Answer:

It Depends

Step-by-step explanation:

Sample Answer: For up to 11 hits, Game 1 gives the player higher scores. But for 12 or more hits, Game 2 does. That's because exponential growth eventually exceeds linear growth.

The break-even point for the smart collars is 4,ollars sold at a cost of $5,800. The correct option is (Option D).

Break-even point is a term used to describe the point at which total cost equals total revenue. It is defined as the point at which the income from selling a product or service equals the costs of producing it.

This concept is an essential component of cost-volume-profit analysis (CVP), which is used to evaluate how changes in a company's costs and sales levels will impact its profits.

Hence, to calculate the break-000 even point, one needs to equate the cost equation with the revenue equation. That is;

0.25x + 4800 = 1.45x

To solve for x, subtract 0.25x from both sides and get;

0.25x + 4800 - 0.25x

= 1.45x - 0.25x or 4800

= 1.2x

Dividing both sides by 1.2 gives;

x = 4,000 units (rounded to the nearest whole number).

Therefore, the break-even point for the smart collars is 4,dollars sold at a cost of $5,800 (Option D).

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The expression that best represents the volume is (b) \(V = \pi (13.5)^2 (4)\)

The given parameters are:

Diameter, d = 27

Height, h = 4

Start by calculating the radius using:

r = d/2

This gives

r = 27/2

r = 13.5

The volume is then calculated as:

\(V = \pi r^2 h\)

This gives

\(V = \pi (13.5)^2 (4)\)

Hence, the expression that best represents the volume is (b) \(V = \pi (13.5)^2 (4)\)

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Answer:

The answer is 30 :)

Step-by-step explanation:

I had this question on khan academy

have a good day and stay safe!

The value of expression at x = 3 is,

⇒ 30

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 6² + x - x²

Now, We can simplify as;

⇒ 6² + x - x²

⇒ 36 + x - x²

Put x = 3;

⇒ 36 + 3 - 3²

⇒ 36 + 3 - 9

⇒ 36 - 6

⇒ 30

Thus, The value of expression at x = 3 is,

⇒ 30

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Answer:

x=0

Hope this helped

If sinA = 3/8, the value of cosec A - sec A is (72√55 - 440)/495

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Sin(tetha) = opp/hyp

cos(tetha) = adj/hyp

tan(tetha) = opp/adj

If sin A = 3/8

and SinA = opp/ hyp

opp = 3 and hyp = 8

using Pythagoras theorem

8² = 3²+adj²

adj = √ 8²-3²

adj = √64-9

adj = √55

cos A = √55/8

sec A = 1/CosA = 8/√55

cosec A = 1/sinA = 8/3

cosec A-sec A = 8/ √55 - 8/3

= (24-8√55)/3√55

= (72√55 - 440)/495

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Answer:2/5=4/10 and 1/4=2/8

Step-by-step explanation: you can simplify 4/10 to get 2/5 and same with 2/8. You would divide the fraction by two.

Answer:

30

Step-by-step explanation:

3:7

30 students

3\10×30=9

7\10×30=21

9+21=30

The similarity between <2 and <B is that both arcs have a 65° measure.

When two angles add up to 180 degrees, they are said to be each other's auxiliary angles.

For instance, since x + y = 180°, x and y are complementary angles to one another.

The triangle's angles are 50° and 65°.

50° and 65° are the angles on the path.

We are aware that a triangle's total number of angles is 180°. Consequently, the B measure is

50° + 65° + ∠B = 180°

∠B = 180° - (50° + 65°)

∠B = 65°

So, 65 degrees is the gauge of the B.

The total number of angles on the specified line will be due to the fact that all angles are extra angles, and will be 180 degrees.

∠2 + 50° + 65° = 180°

∠2 = = 65°

As a result, 65° is the measure of the 2.

As we can see, both arcs have a measure of 65 degrees.

Therefore, the relationship between 2 and B is that both angles have a value of 65°.

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In a heap, the height is defined as the number of edges on the longest path from the root to a leaf node. The height of a heap with n elements is at most log₂(n+1).

To find the minimum and maximum numbers of elements in a heap of height h, we can use the formula:

The minimum number of elements in a heap of height h is 2^h (a complete binary tree of height h with the minimum number of nodes).

The maximum number of elements in a heap of height h is 2^(h+1) - 1 (a complete binary tree of height h with the maximum number of nodes).

Therefore, the minimum and maximum numbers of elements in a heap of height h are:

Minimum: 2^h

Maximum: 2^(h+1) - 1

Note that not all values of h are valid heap heights. A heap must be a complete binary tree, so its height can only take on values that satisfy the formula: \(h < = log₂(n+1),\)where n is the number of elements in the heap.

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Answer:

The formula for n natural no.'s =n(n+1)/2

=100(100+1)/2

=100×101/2

=50×101

=5050

\(\large\underline{\sf{Solution-}}\)

Given series is

\(\rm \longmapsto\:1 + 2 + 3 + - - - + 100\)

Its an AP series with

\(\rm \longmapsto\:a = 1\)

\(\rm \longmapsto\:d = 1\)

\(\rm \longmapsto\: {n}^{th} \: term = 100\)

Wᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ,

↝ nᵗʰ term of an arithmetic sequence is,

\(\begin{gathered}\:\:{\underline{\orange{\boxed{\bf{\green{a_n\:=\:a\:+\:(n\:-\:1)\:d}}}}}} \\ \end{gathered}\)

Wʜᴇʀᴇ,

Tʜᴜs,

\(\rm \longmapsto\:100 = 1 + (n - 1) \times 1\)

\(\rm \longmapsto\:100 = 1 + n - 1\)

\(\bf\implies \:n = 100\)

Now,

Wᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ,

↝ Sum of n  terms of an arithmetic sequence is,

\(\begin{gathered}\:\:{\underline{\orange{\boxed{\bf{\green{S_n\:=\dfrac{n}{2} \bigg(2 \:a\:+\:(n\:-\:1)\:d \bigg)}}}}}} \\ \end{gathered}\)

Wʜᴇʀᴇ,

So, on substituting the values, we get

\(\rm \longmapsto\:S_n = \dfrac{100}{2} \bigg(2 \times 1 + (100 - 1) \times 1\bigg) \)

\(\rm \longmapsto\:S_n =50 \times \bigg(2 + 100 - 1\bigg) \)

\(\rm \longmapsto\:S_n =50 \times \bigg(101\bigg) \)

\(\bf\implies \:S_n = 5050\)

Short Cut

Sum of first n natural numbers is

\(\boxed{\tt{ \displaystyle\sum_{n=1}^n\rm n \: = \: \frac{n(n \: + \: 1)}{2} \: }}\)

So,

\(\red{\rm \longmapsto\:\displaystyle\sum_{n=1}^{100}\rm n = \frac{100(100 + 1)}{2} = 5050}\)

Answer:

C, my friend. Trust the BlueDragon

Step-by-step explanation:

30% of $30 is 9, $30-$9 is $21.00

He saved $9.00