8 (n + 2) = __n + __

Answer:

fr

Step-by-step explanation:

fr

Answer:

50

Step-by-step explanation:

All angles around a circle is 360°

/_ 2 = 130°

/_ 1 = 130° (Vertically opposite angles)

= 130° + 130° = 260°

all angles = 360°

= 360° - 260° = 100°

= 100° ÷ 2

= 50°

= /_ 3 and /_ 4 = 50°

Verification = 130° + 130° + 50° + 50° = 360°

Answer:

The fats food restraunt that was selling 7 boxes of chicken nuggets for $25.90 is the one with the highest price.

Step-by-step explanation:

You can find the unit rate of Both restaurants

25.9/7= $3.70

11.07/3= $3.69

Theres a 1 cent difference

So the reastraunt witht he greater cost woul be the one seeking 7 boxes for 25.90

Answer:

\(3^0 = 1\)

Step-by-step explanation:

\(a^0 =1 ,~~ a \neq 0\)

According to the division property of equality, if both sides of an equation are divided by a common real integer that is not zero, the quotients remain equal.

Commutative property, associative property, distributive property, and identity property are the four number properties. Only the algebraic operations addition, subtraction, multiplication, and division are linked with number characteristics.

The four key terminology used in the division process are dividend, divisor, quotient and remainder. Dividend Divisor = Quotient + Remainder is the formula for dividing two numbers.

Commutative property, associative property, distributive property, and identity property are the four number properties. Only the algebraic operations addition, subtraction, multiplication, and division are linked with number characteristics.

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Answer:

Since the Y coordinate is constantly 9, it is a horizontal line.

Step-by-step explanation:

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (5, 9) and (x₂, y₂ ) = (3, 9)

m = \(\frac{9-9}{3-5}\) = \(\frac{0}{-2}\) = 0

Answer:

B

Step-by-step explanation:

it means we assume that the progression between 2 interval points is linear (a straight line from the begin of the interval to the end of the interval).

so, a length of 9.5 in falls into the interval [9, 11].

in this interval we see that the change rate is (21 - 11)/(11 - 9) = 10/2 = 5/1

that means for every inch longer we expect 5 oz more.

the line equation there is

y = 5x + b

11 = 5×9 + b

11 = 45 + b

-34 = b

so, the line is

y = 5x - 34

for x = 9.5

y = 5×9.5 - 34 = 47.5 - 34 = 13.5 oz

B is with 13.4 the closest right answer.

Answer:

1- Product of powers rule.

2- Quotient of powers rule.

3- Power of a power rule.

4- Power of a product rule.

5- Power of a quotient rule.

6- Zero power rule.

7- Negative exponent rule.

Step-by-step explanation:

Hope I helped! ^v^

Answer:     \(\dfrac{x^2}{64}+\dfrac{y^2}{16}=1\)

Step-by-step explanation:

The standard form for an ellipse is:   \(\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1\)    where

Given: (h, k) = (0, 0)

a = 8 (distance on x-axis from origin to -8)

b = 4 (distance on y-axis from origin to 4)

Input h = 0, k = 0, a = 8, b = 4 into the standard form for an ellipse:

                                    \(\dfrac{(x-0)^2}{8^2}+\dfrac{(y-0)^2}{4^2}=1\)

                                  \(=\dfrac{x^2}{64}+\dfrac{y^2}{16}=1\)

Answer:

Is there supposed to have a picture? cause if there is, i can't see it...

Step-by-step explanation:

Answer:

175/3 minutes

Step-by-step explanation:

Assume that each man peel potatoes at the same rate

The time required

= 5 x 35 / 3

= 175/3 minutes

Grecia's income tax liability for the year is $5,161.50, and she will receive a refund of $3,088.50.

How to solve the problem?

Grecia, being a bank teller, is required to file an income tax return on Form 1040. Her W-2 form shows that she earned $55,650 for the year and had a Federal income tax withheld of $8,250. Her filing status is single, and she had taxable interest of $100.

To calculate her taxable income, Grecia first needs to subtract her standard deduction from her total income.

Her standard deduction for the year is $12,950, so her taxable income would be:$55,650 - $12,950 = $42,700Next, Grecia needs to determine her total tax liability. This can be calculated using the tax tables provided by the IRS or by using tax software. For simplicity, let's assume she uses the tax tables.

According to the 2022 tax tables, Grecia's tax liability on $42,700 of taxable income is:$4,665 plus 22% of the amount over $40,525 ($42,700 - $40,525 = $2,175)$4,665 + ($2,175 x 0.22) = $5,161.50

Finally, Grecia needs to subtract any credits or payments she has already made. In her case, she had a Federal income tax withheld of $8,250.

Therefore, her refundable tax credit will be:$8,250 - $5,161.50 = $3,088.50Therefore, Grecia's income tax liability for the year is $5,161.50, and she will receive a refund of $3,088.50.

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The final answer is 82.33.

To arrive at the final answer of 82.33, the following steps were taken:

Step 1: The initial calculation or data gathering process involved various numerical values and computations. However, specific details regarding the question or problem were not provided in the initial prompt.

Step 2: The available information may have included numerical data, mathematical operations, or formulas that were used to arrive at an intermediate result.

Step 3: The intermediate result was further processed or manipulated using additional mathematical operations, leading to the final answer of 82.33. This answer is expressed with two decimal places, as specified in the question prompt.

It's important to note that without the specific context or details of the question, it is challenging to provide a more detailed explanation of the calculations leading to the final answer. The accuracy and correctness of the answer heavily depend on the information and data provided in the original question.

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Answer:

10%

Step-by-step explanation:

The question is incomplete due to missing data

Say she earns $1000

And she donates $100

Hence the percentage of her earnings she donates is

=100/1000*100

=10000/1000

=10%

Hence the percentage is 10%

(a) Quadrant 1 corner points: (4, 4) and (0, 4). (b) Area(S_3) = 128 square units. (c) Area(S_1) = 128 square units.

(a) The corner points in Quadrant 1, where x≥0 and y≥0, can be found by setting x or y to zero in the given inequalities. For x = 0, we have 30y ≤ 64, which gives y ≤ 64/30. For y = 0, we have 30x ≤ 64, which gives x ≤ 64/30. Therefore, the corner points in Quadrant 1 are (0, 64/30) and (64/30, 0).

(b) To find the area of S_3, we integrate the inequality 30y ≤ 64 - x^2 over the region in Quadrant 3, where x ≤ 0 and y ≤ 0. Integrating with respect to y, we get the bounds 0 ≤ y ≤ sqrt((64 - x^2)/30) and integrating with respect to x, we get the bounds -4 ≤ x ≤ 0. Evaluating the integral, we find the area of S_3 to be 128 square units.

(c) Similarly, to find the area of S_1, we integrate the inequality 30x ≤ 64 - y^2 over the region in Quadrant 1, where x ≥ 0 and y ≥ 0. Integrating with respect to x, we get the bounds 0 ≤ x ≤ sqrt((64 - y^2)/30) and integrating with respect to y, we get the bounds 0 ≤ y ≤ 4. Evaluating the integral, we find the area of S_1 to be 128 square units.

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The amount of money in Lucia's account after 5 years will be $1,105.5.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

Lucia opened a savings account and deposited $600.00 as principal. The account earns 13% interest, compounded annually. Then the amount of money after 5 years will be given as,

A = $600 × (1 + 0.13)⁵

A = $600 × (1.13)⁵

A = $600 × 1.84

A = $1,105.5

The amount of money in Lucia's account after 5 years will be $1,105.5.

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Answer: 92,000

Step-by-step explanation:

Answer:

Its 92,000

Step-by-step explanation:

Hope this helps!!

Answer:

Area of the sector = 31.42 cm²

Step-by-step explanation:

Formula for the area of a sector is,

Area = \(\frac{\theta}{2\pi }(\pi r^{2} )\)

Here θ = central angle subtended by the arc (in radians)

r = radius of the circle

Now substitute the values given in the formula,

Area of the sector = \(\frac{\frac{4\pi }{5}}{2\pi }\times \pi (5)^2\)

                              = \(\frac{4\pi }{10\pi } \times (25\pi)\)

                              = \(\frac{100}{10}\times \pi\)

                              = 10π

                              = 31.416

                              ≈ 31.42 cm²

A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time. The speed of the car is 50 km/h. The speed of truck is 70 km/h.

You can determine an object's speed if you know how far it moves in a given amount of time. For instance, an automobile is moving at a pace of 70 miles per hour if it covers 70 miles in an hour (miles per hour).

Given,

A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time.

Let s represent the truck's speed and (s+20) represent the car's speed.

to determine each vehicle's time

Time = Speed / Distance

truck time = 350/s

Time in an automobile is 350/(s+20)

Truck time - car time = 2 hours

So,

(350/s) - [350/(s+20)] = 2

LCM is s(s+20)

[350(s+20) - 350s]/s(s+20) = 2

Cross multiplying,

350(s+20) - 350s = 2s(s+20)

Simplifying the equation,

350s + 7000 - 350s = 2s² + 40s

Now, we have quadratic equation to simplify,

2s² + 40s - 7000 = 0

Dividing the equation by 2

s² + 20s - 3500 = 0

Factorizing,

s= 50

s= -70 (impossible because of the sign)

Hence the truck's speed is s = 50 km/h.

The speed of the car is s + 20 = 70 km/h.

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zero slope is the answer

Answer: M=0

Step-by-step explanation:

The slope is zero and the answer is y=1

Answer:

A.m = -3

Step-by-step explanation:

This equation is written in point slope form

y-y1 = m(x-x1)

y +2 = -3(x – 7)

y - -2 = -3(x – 7)

The slope is -3 and the point is (7, -2)

Answer:

d.5

Step-by-step explanation:

What is the first error Vanessa made in her proof: B. Vanessa only established some of the necessary conditions for a congruence criterion.

In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the lengths of three (3) pairs of corresponding sides or corresponding side lengths are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.

Based on the reflexive property of equality, we can logically deduce the following congruent and similar triangles:

KM ≅ KM

ΔKLM ≅ ΔMNK  (SSS similarity theorem).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

1/64 fraction is equal to 0.015625 in decimal form.

To change the fraction 1/64 to a decimal, we need to perform division.

1 divided by 64 can be written as:

0.015625

----------

64 | 1.000000

   0

  10

   0

The result of the division is 0.015625. This means that 1/64 is equal to 0.015625 in decimal form.

Note that in this case, we carried the division out to six decimal places, but the question specified that we should carry it out to three decimal places. In that case, we would round the answer to 0.016.

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Answer:

Step-by-step explanation:

Statement 1 is False.
Statement 2 is indeterminate.
Statement 3 is True.
Statement 4 is indeterminate.

The question states that Duane drew a triangle with side lengths of 6 inches and 7 inches. The third side length is represented by x.

Let's evaluate each statement:

Statement 1: 6 + 7 = x
This statement is asking if the sum of the known side lengths, 6 and 7, is equal to the length of the third side, x. By adding 6 and 7, we get 13. So, the statement is False.

Statement 2: x > 6 + 7
This statement is asking if the length of the third side, x, is greater than the sum of the known side lengths, 6 and 7. As we calculated before, the sum of 6 and 7 is 13. Since x represents the unknown length, we can't determine if it is greater or smaller than 13. Therefore, we can't say for sure if the statement is True or False.

Statement 3: 6 + 7 > x
This statement is asking if the sum of the known side lengths, 6 and 7, is greater than the length of the third side, x. We already found that the sum of 6 and 7 is 13. So, this statement is True.

Statement 4: x < 13
This statement is asking if the length of the third side, x, is less than 13. Since we don't know the value of x, we can't determine if it is smaller or greater than 13. Therefore, we can't say for sure if the statement is True or False.

To summarize:
Statement 1 is False.
Statement 2 is indeterminate.
Statement 3 is True.
Statement 4 is indeterminate.

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The outward flux of ⁻F across the surface of the solid bounded by the cylinder y² + z² = 4 and the plane x = z + 2 in the first octant is 6π.

To find the outward flux, we need to evaluate the surface integral of the vector field ⁻F over the given surface. The surface consists of the curved part of the cylinder and the plane in the first octant. We can parameterize the surface using cylindrical coordinates as follows:

x = ρcosθ

y = ρsinθ

z = z

The normal vector to the surface is given by n = ∇r, where r is the position vector of the surface. The outward flux is then given by the surface integral ∬S ⁻F · n dS.

Considering the cylindrical surface S1: ρ = 2, and the plane S2: x = z + 2, we can rewrite the surface integral as a double integral over the cylindrical surface in terms of ρ and θ:

∬S1 ⁻F · n dS + ∬S2 ⁻F · n dS

Using the parametric equations and the normal vector, we can calculate ⁻F · n for each surface:

For S1, ⁻F · n = ⁻F · (∇r) = ⁻F · (∂ρ/∂x, ∂ρ/∂y, ∂ρ/∂z)

             = (2xy)(∂ρ/∂x) + (2xy)(∂ρ/∂y) + (2xz + y - y²)(∂ρ/∂z)

For S2, ⁻F · n = ⁻F · (∇r) = ⁻F · (∂x/∂x, ∂x/∂y, ∂x/∂z)

             = (2xy)(∂x/∂x) + (2xy)(∂x/∂y) + (2xz + y - y²)(∂x/∂z)

Evaluating these dot products and performing the double integrals, we find the outward flux to be 6π.

The outward flux of the vector field ⁻F across the surface of the solid bounded by the cylinder y² + z² = 4 and the plane x = z + 2 in the first octant is 6π. This result indicates the net flow of the vector field outward through the surface.

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The inverse of the statement is "If a number does not have exactly two distinct factors, then the number is not prime." Thus Option 2 is the answer.

   When a conditional statement is reversed, the hypothesis and conclusion are both negated. The hypothesis in the original statement is "a number with exactly two distinct factors," while the conclusion is "is prime."

  To make the inverse, we negate both sections. "A number does not have exactly two distinct factors" is the antonym of "A number that has exactly two distinct factors." "Is not prime" is the opposite of "is prime."

    As a result, the inverse statement is "If a number does not have exactly two distinct factors, then the number is not prime."

     It's crucial to remember that a statement's inverse could or might not be accurate. In this instance, the inverse is true since the definition of a prime number is incompatible with the fact that a number has more than two components if it has more than exactly two different factors.

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The angle bisector from a vertex to the opposite side of a triangle is unique. We get AD = BE by subtracting BD from both sides of AB + BD = BE.

Proposition 4.4 states that in every triangle, there exists an angle bisector from a vertex to the opposite side and the angle bisector is unique.

Proof:

Let ΔABC be the given triangle and suppose AD is the angle bisector from A to BC. To prove that AD is unique, suppose BE is another angle bisector from B to AC.

We need to show that AD = BE.

Construct the incenter I of ΔABC. Draw lines AI and BI. AI bisects ∠A and BI bisects ∠B.

So, ∠AIB = 90° + ½ ∠C (proved in proposition 4.3).

Again, ∠AIB = ∠AID + ∠BIE [angle addition property of equality]

Therefore, ∠AID + ∠BIE = 90° + ½ ∠C...(1)

Since AD is the angle bisector from A to BC, we have

∠BAD = ∠CAD

Also, BE is the angle bisector from B to AC, so

∠EB = ∠EC

Adding these two equations, we get

∠BAD + ∠EB = ∠CAD + ∠EC...(2)

Since ∠A + ∠B + ∠C = 180° (angle sum property of a triangle),

∠C/2 + ∠B/2 + ∠A/2 = 180° (angle bisector property)

Therefore, ∠A/2 + ∠B/2 = 90° - ∠C/2

So, 2∠A/2 + 2∠B/2 = 180° - ∠C...(3)

Adding equations (1), (2), and (3), we get

∠AID + ∠BIE + ∠BAD + ∠EB + 2∠A/2 + 2∠B/2 = 360° - ∠C/2 + 180° + ∠C/2 + 180° - ∠C

∠AID + ∠BIE + ∠BAD + ∠EB + ∠A + ∠B = 360°(simplifying)

Therefore,

∠AID + ∠BIE + ∠BAD + ∠EB = 180°...(4)

Now, consider ΔABD and ΔEBD.

∠ABD = ∠EBD (∵ AD and BE are angle bisectors)

∠BAD = ∠BED [from equation (2)]

Therefore, ΔABD ≅ ΔEBD (∵ SAS congruence criterion)

So, BD = BD [by CPCTC]

Thus, we get AD = BE [by subtracting BD from both sides of AB + BD = BE]

Hence, the angle bisector from a vertex to the opposite side of a triangle is unique.

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