Using the following image, find the midpoint of the line by completing the problems below. The midpoint is what?

When the wheel weighs 19.5 pounds, this implies that each hub cover weighs approximately 11.08 pounds.

A mathematical equation is a statement that expresses the connection between two or more quantities using symbols like elements, numbers, and mathematical operations. It may also signify a requirement that must be met or an issue that must be resolved. There are numerous ways to express equations in writing, including the algebraic, geometric, logarithmic, and exponential formats. The expression y = mx + b, for instance, depicts a linear connection between variables x and y, with m denoting the line's slope and b its y-intercept. The sine function and the variable x are related in a trigonometric way by the solution sin(x) = 0.5, where sin(x) is the ratio of a right triangle's opposing side's length to its hypotenuse's length.

given

Let's suppose that each hubcap weighs x pounds.

Since there are 6 of the same hubcaps, their combined weight is 6.

The hubcaps and the tire together weigh 86 pounds, according to the issue. Thus, the following solution can be written:

6x + 19.5 = 86

We can begin by removing 19.5 from both sides to find x:

6x = 86 - 19.5

6x = 66.5

Finally, we can identify x by dividing both sides by 6:

x = 11.08

When the wheel weighs 19.5 pounds, this implies that each hub cover weighs approximately 11.08 pounds.

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Answer: Angle DBC = 72

Step-by-step explanation:

\(7q-46+3q+6=180 (Linear Pair)\\\)

To Find q:

= \(7q+3q-46+6=180\)

= \(10q-46+6=180\)

= \(10q-40=180\)

= \(10q=180+40\)

= \(10q=220\)

= \(q = \frac{220}{10}\)

= q = 22

To Find Angle DBC:

Q= 22

\(3\cdot q+6\)

\(3*22+6 = 72\)

DBC = 72

Solution

We are given only two sample space 3,6

The probability of selecting either 3 or 6 is

0.5, 0.5

Answer:

x = 6

y° = 125°

Step-by-step explanation:

9x + 1 and 7x + 13 are alternate angles and has same measurement

9x + 1 = 7x + 13

9x - 7x = 13 - 1

2x = 12

x = 6

y° and 7x + 13 are supplementary angles so their sum is 180°

7x + 13 ➡ 7×6 + 13 = 55°

55 + y° = 180 subtract 55 from both sides

y° = 125°

Answer:

7/12 ≈ 0.583

Step-by-step explanation:

See picture below. There are 21 totals higher than 6 out of 36 possible outcomes. The probability is therefore 21/36 = 7/12.

Answer: 21/36 or 7/12. = 58.33%

Step-by-step explanation: 36 possible outcomes

Of those, combinations resulting in numbers greater than 6 are:

# | combinations

7 | 6

8 | 5

9 | 4

10 | 3

11 | 2

12 | 1

The sum of those combinations is 21.

So 21/36 = 0.5833

or 7/12 = 58.33%

Answer:

57%

Step-by-step explanation:

200+245+125 = 570

570/1000 = .57

Answer:

57%

Step-by-step explanation:

First find the total number of families in the sample.

Total = 350 + 200 + 245 + 125 + 66 + 10 + 4

Total = 1000

Next find the number of families that have 3, 4 or 5 people.

Total(3,4 or 5) = 200 + 245 + 125

Total(3,4 or 5) = 570

Now the % = (Total 3,4 or 5) / Total ) * 100

% = 570 / 1000 * 100

% = 57%

Step-by-step explanation:

For any quadrilateral to be a parallelogram

i) either both the pairs of opposite sides must be equal

ii) Both the pairs of opposite sides must be parallel

iii) Opposite pairs of angles must be equal

iv) Diagonals must bisect each other.

v) A pair of opposite sides must be parallel and equal

Here we are already given that AB || CD

So either we should be given that AD || BC

or we must be given that AB = CD

Here it is given AB = CD as an option.

So Option A) or the first option is the right answer that AB ≅CD is needed to prove ABCD is a parallelogram

Answer:

its a

Step-by-step explanation:

h(2.5) = 47, and this mean that the height of the football after 2.5 seconds is 47 feet, using the quadratic function h(t) = -16t² + 58t + 2.

In the question, we are given that during a local high school football game, the height of h feet of a football after t seconds can be represented by the quadratic function h(t) = -16t² + 58t + 2.

We are asked to find h(2.5) and explain its meaning.

To find h(2.5), we substitute t = 2.5, in the quadratic function h(t) = -16t² + 58t + 2.

Thus,

h(2.5) = - 16(2.5)² + 58(2.5) + 2,

or, h(2.5) = - 16(6.25) + 145 + 2,

or, h(2.5) = -100 + 147,

or, h(2.5) = 47.

Hence, h(2.5) = 47, and this mean that the height of the football after 2.5 seconds is 47 feet, using the quadratic function h(t) = -16t² + 58t + 2.

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Its speed is closest to 414m/s

given that

A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles. This length is typically defined in wireless systems in metres (m), centimetres (cm), or millimetres (mm) (mm). The wavelength is more frequently described in nanometers (nm), which are units of 10-9 m, or angstroms (), which are units of 10-10 m, for infrared (IR), visible light (UV), and gamma radiation ().

Frequency, which is defined as the quantity of wave cycles per second, and wavelength have an inverse relationship. The wavelength of the signal decreases with increasing signal frequency.

a wave has a wavelength = 25.4cm

a frequency = 1.63khz

now, we need to find speed of the wave

speed = wavelength × frequency

speed = 25.4 × 16.3

           = 414m/s

speed = 414m/s

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Answer:

For Angles it is parallel angles on parallel lines are the same

Step-by-step explanation:

Answer:

C. 100°

Step-by-step explanation:

If ΔABC ≅ ΔDEF then

The sum of the interior angles of a triangle is 180°

Therefore, m∠A + m∠B + m∠C = 180°

⇒ 50° + 30° + m∠C = 180°

⇒ 80° + m∠C = 180°

⇒ m∠C = 180° - 80°

⇒ m∠C = 100°

There are 360 black counters and 306 white counter in 20:17 ratio.

Let's denote the number of black counters by B and the number of white counters by W. We know that the ratio of black to white counters is 20:17, which means that:

B/W = 20/17

We also know that there are 54 more black counters than white counters, which means that:

B = W + 54

We can use substitution to solve for B. Substituting the second equation into the first equation, we get:

(W + 54)/W = 20/17

Cross-multiplying, we get:

17(W + 54) = 20W

Expanding the left side, we get:

17W + 918 = 20W

Subtracting 17W from both sides, we get:

918 = 3W

Dividing both sides by 3, we get:

W = 306

Now we can use the second equation to find B:

B = W + 54 = 306 + 54 = 360

Therefore, there are 360 black counters in the bag.

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Answer:

8x-4<-36+4

8x<-32

----

8

x<-4

Answer:x<-4

Step-by-step explanation:

you would have to show your work and do it step by step and and dont stress about it

Answer:1130.97

Step-by-step explanation:

V=πr2h=π·62·10≈1130.97336

Declan's reasoning does make sense. This is because 3/4 and 1/2 have the same denominator, and 3/4 is a larger fraction than 1/2.

Therefore, it is reasonable to assume that 3/4 is greater than 6/12 because 6/12 simplifies to 1/2. Simplifying fractions means dividing the numerator and denominator by the same number, in this case, 6 is divisible by 2, so we can reduce the fraction to 1/2.

So, Declan is correct in his reasoning that 3/4 is greater than 6/12. It is important to understand the relationship between fractions and their denominators to make such comparisons accurately.

3/4 = 9/12

1/2 = 6/12

6/12 = 6/12

Since 9/12 (which is equivalent to 3/4) is greater than 6/12 (which is equivalent to 1/2), we can say that 3/4 is indeed greater than 6/12.

Therefore, Declan's reasoning is correct.

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Answer:

8 books each.

Step-by-step explanation:

32 books

4 shelves

1 shelf = 32books divided by 4shelves

Therefore 1 shelf will have 8 books each.

The arithmetic mean is 59.

What is arithmetic mean?

It is the sum of collection of numbers divided by the count of the numbers.

Conider AB is the nuber satisfying the condition. Hence,

\(10A+B=A+B+A\times B\\9A=A\times B\\\)

Since AB is a two digit number hence, \(A\neq 0\\\). Hence, divide both sides by \(A\).

\(9=B\)

Hence, B is 9 and A can take any value from 1 to 9.

Hence, numbers are 19, 29, 39, 49, 59, 69, 79, 89,99.

Now, calculate arithmetic mean as follows:

\(AM=\frac{Sum \ of \ numbes}{Count \ of \ numbers}\\=\frac{19+29+39+49+59+69+79+89+99}{9}\\=59\)

Hence, arithmetic mean of numbers is 59.

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The volume of the given solid over the indicated region of integration, f(x,y) = 2x + 2y - 5 and R = {(x,y): -4 ≤ x ≤ 1, 3 ≤ y ≤ 6}, is 63 units³.

To find the volume, we will integrate the function f(x,y) over the region R. Follow these steps:

1. Set up the double integral: ∬R (2x + 2y - 5) dA

2. Set up the limits of integration: ∫(from -4 to 1) ∫(from 3 to 6) (2x + 2y - 5) dy dx
3. Integrate with respect to y: ∫(from -4 to 1) [(2xy + 2y²/2 - 5y)] (evaluated from 3 to 6) dx
4. Simplify and evaluate: ∫(from -4 to 1) [6x + 18 - 5(6-3)] dx
5. Integrate with respect to x: [3x² + 18x - 15x] (evaluated from -4 to 1)
6. Simplify and evaluate: (3 + 18 - 15) - (-12 + 72 + 60)
7. Calculate the final result: 6 - (-30) = 36

The volume of the region is 63 units³.

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DOE is a statistical tool for analyzing reliability issues, while productivity is a measure of efficiency. Designs of experiments (DOE) is a statistical technique used in Six Sigma to collect, analyze, and interpret data.

It is a structured and organized method for determining whether there is a statistical correlation between two variables. DOE helps in identifying potential reliability problems and weaknesses in a product or process by systematically varying the factors and observing their impact on the output.

Productivity is a measure that broadly defines the efficiency of a process or system. It is calculated by dividing the output by the input. On the other hand, the quality-productivity ratio refers to the relationship between the quality and productivity of a product or process. It can be represented by the ratio of quality cost divided by production cost or the ratio of yield divided by total planned units.

In summary, DOE is a statistical tool for analyzing reliability issues, while productivity is a measure of efficiency. The quality-productivity ratio assesses the relationship between quality and productivity by considering factors such as quality cost, production cost, and yield.

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It would take approximately 5.27 minutes for the liquid to cool from an initial temperature of 160 degrees Fahrenheit to a temperature of 31 degrees Fahrenheit in a constant 15 degrees Fahrenheit environment.

To determine the time it takes for the liquid to reach a temperature of 31 degrees Fahrenheit, we can use the concept of thermal equilibrium and the rate of temperature change.

Given that the liquid is placed in a constant 15 degrees Fahrenheit environment, we can assume that the liquid follows a linear cooling pattern over time.

From the given information, we know that the initial temperature of the liquid is 160 degrees Fahrenheit, and after 4 minutes, it cools down to 62 degrees Fahrenheit.

To calculate the rate of temperature change per minute, we can find the difference in temperature and divide it by the time elapsed.

Temperature Change per Minute = (Final Temperature - Initial Temperature) / Time Elapsed

Temperature Change per Minute = (62 - 160) / 4

Temperature Change per Minute = -98 / 4

Temperature Change per Minute = -24.5 degrees Fahrenheit per minute

Now, to determine the time it takes for the liquid to reach 31 degrees Fahrenheit, we can use the rate of temperature change per minute and set it equal to the difference between the final temperature (31 degrees) and the initial temperature (160 degrees).

Time Required = (Final Temperature - Initial Temperature) / Temperature Change per Minute

Time Required = (31 - 160) / -24.5

Time Required ≈ -129 / -24.5

Time Required ≈ 5.27 minutes

Therefore, it would take approximately 5.27 minutes for the liquid to cool from an initial temperature of 160 degrees Fahrenheit to a temperature of 31 degrees Fahrenheit in a constant 15 degrees Fahrenheit environment.

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Answer:

Step-by-step explanation:

Remark

If the entire circle was shaded the radius sweeping out the circle would go through 360 degrees.

So the way to solve this problem is to multiply the entire area of the circle by (81/360)

Area of the sector = (81/360) * pi * r^2

pi = 3.14

r =8.91 cm

Area of the sector = (81/360) * 3.14 * 8.91^2

Area of the sector = 56.09

Rounded to the nearest tenth, the answer is 56.1

Answer: 56.1 cm^2

Answer: Your welcome :)

Step-by-step explanation:

Answer:

2x2x2x3

Step-by-step explanation:

Answer:

The answer is A

Answer:

15c+19d

Step-by-step explanation:

They are like terms.

Answer:

15c + 19d

Step-by-step explanation:

Identify all like terms, or all terms with a c variable and all with a d variable.

3c, c, and 11c are your c's, and 14d and 5d are your d's.

Add the coefficients of each term (no coefficient means it's a 1!)

For the c's, 3+1+11 = 15 and for the d's, 14+5 = 19.

This gets you 15c + 19d. (They're already in alphabetical order, but if they weren't in a future problem, it would be good form to arrange them like that!)

Answer:

15956

Step-by-step explanation:

i think this should be the answer are you learning about phrases

if you are then and is addition but if you are not then try to multipy the 15

Answer:

A) 21/20

Step-by-step explanation:

Tangent = Opposite/Adjacent

The total number of possible outcomes in this situation is 3 x 4 x 2 = 24. This is because the spinner has three equal-sized sections, the die has 4 sides, and the coin has two sides (heads and tails).

Outcome is the result or consequence of an action, situation or event.

For the spinner, there are three possible outcomes (Walk, Run, and Stop). For the die, there are four possible outcomes (1, 2, 3, and 4). For the coin, there are two possible outcomes (heads or tails).

Therefore, the total number of possible outcomes is 3 x 4 x 2 = 24.

This means that there are 24 different combinations of outcomes that Kadeem can experience when spinning the spinner, rolling the die, and flipping the coin.

Let us imagine that Kadeem rolls a 4 on the die, lands on Walk on the spinner, and gets tails on the coin. In this scenario, the outcome would be 4-Walk-Tails.

In this scenario, the outcome would be 4-Walk-Tails.

This is just one of the 24 possible outcomes that Kadeem could experience.

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