PLS PLS PLS help me I'm reposting this question bc no one helped me
Determine whether line segment AB is a diameter of the circle.

O Yes, Triangle CAB is congruent to triangle DAB by the SAS Congruence Theorem, so line segment BC is congruent to line segment BD. This means that line segment AB is a perpendicular bisector of line segment CD.

O Yes, The endpoints of line segment AB lie on the circle, so line segment AB is a diameter by the definition of a diameter.

O No, because line segment AB does not bisect line segment CD, line segment AB cannot be a diameter

O No, line segment AB is not perpendicular to line segment CD, so the Perpendicular Chord Bisector Theorem cannot be used to conclude that line segment AB is a diameter

The probability that a camper entering the Luray Caverns has Canadian license plates is 0.3214.

A = a vehicle entering the Luray caverns has Canadian license plates

B = it is a camper

P(A) = 0.12

P(B) = 0.28

P(A∩B) = 0.09

P(A|B) = P(A∩B) / P(B)

P(A|B) = 0.09 / 0.28

P(A|B) = 0.3214

Hence,  the probability that a camper entering the Luray Caverns has Canadian license plates is 0.3214

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a and c are directly proportional to each other when a and b are directly proportional and b and c are directly proportional.

If a and b are directly proportional and b and c are directly proportional, it means that their ratios are equal. Direct proportionality implies that as one variable increases, the other also increases in proportion and as one variable decreases, the other also decreases in proportion.

Mathematically, this can be written as

a = kb and b = mc, where k and m are constants of proportionality.

Multiplying these two equations gives: a = kbm

Substituting the value of b from the second equation in the first equation, we get: a = kmc

Therefore, a and c are also directly proportional to each other with a constant of proportionality km.

Thus, if a increases by a certain factor, c will also increase by the same factor.

If a and b are directly proportional and b and c are directly proportional, then it can be concluded that a and c are directly proportional as well.

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Answer:

Step-by-step explanation:

Step-1: Add the ratios:

Step-2: Divide 800 by the sum of the ratios:

Step-3: Multiply 50 with each ratio:

Hence, the numerator '9's share is 450 and the denominator '7's share is 350.

Hoped this helped.

\(BrainiacUser1357\)

Sharing 800 in the ratio of 9:7 gives us two shares as 450 and 350 respectively.

A ratio is a pair of numbers, say x and y, written as x:y, said as x is to y, and used as the fraction x/y, where y ≠ 0.

We are asked to share 800 in the ratio of 9:7.

To do this, we denote the share as 9x and 7x respectively.

Sum of the shares = 9x + 7x = 16x.

This sum needs to be equal to the total we are asked to share, that is, 800.

∴ 16x = 800

Dividing both sides by 16, we get

16x/16 = 800/16

or, x = 50.

To determine each share, we multiply the value of x = 50.

∴ Shares are:

9x = 9 * 50 = 450

7x = 7 * 50 = 350

So sharing 800 in the ratio of 9:7 gives us two shares as 450 and 350 respectively.

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Answer:

7748do it your self

Answer:

It will take 4 hours. hi

Step-by-step explanation:

-24 / -6 = 4

Plz mark as brainliest if this helped! Have a nice day!!!

-Lil_G

Answer:

(\(\frac{49}{29},\frac{19}{29}\))

Explanation:

7x - 15y = 2  (1)

x + 2y = 3 (2)

x + 2y = 3

x + 2y - 2y = 3 - 2y

x = 3 - 2y  (3)

Substitute (3) to (1)

7x - 15y = 2

7(3 - 2y) - 15y = 2

21 - 14y -15y = 2

21 - 21 - 29y = 2 - 21

-29y = -19

y = \(\frac{19}{29}\)  (4)

Plug (4) into (2)

x + 2y = 3

x + 2\(\frac{19}{29}\) = 3

x + \(\frac{38}{29}\) = 3

x = 3 - \(\frac{38}{29}\)

\(x = \frac{87}{29}-\frac{38}{29} =\frac{49}{29}\)

(\(\frac{49}{29},\frac{19}{29}\))

Answer:

oiie4546

Step-by-step explanation:

When ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.

We are given that ab = 0, where a and b are variables or numbers.

According to the zero-product property, if the product of two factors is equal to zero, then at least one of the factors must be zero.

In our case, we have ab = 0. This means that the product of a and b is equal to zero.

To satisfy the condition ab = 0, at least one of the factors (a or b) must be zero. If either a or b is zero, then when multiplied with the other factor, the product will be zero.

It is also possible for both a and b to be zero, as anything multiplied by zero gives zero.

Therefore, based on the zero-product property, we can infer that either a = 0 or b = 0 when ab = 0.

In summary, when ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.

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The value of the iterated integral in cylindrical coordinates ∫ 0 −2 ∫ √4 − x2 −√4 − x2 ∫ 3 0 xy^2 dz dy dx is 0.

To change the integral to cylindrical coordinates, we need to express the bounds and the integrand in terms of cylindrical coordinates.

In cylindrical coordinates, we have:

x = r cosθ

y = r sinθ

z = z

where r is the radius, θ is the angle in the xy-plane, and z is the height.

The region of integration is the cylinder with radius 2, centered at the origin, and height 3 to 0. So the bounds are:

0 ≤ r ≤ 2

0 ≤ θ ≤ 2π

0 ≤ z ≤ 3

The integrand is given by:

\(xy^2\)

Substituting x and y with their cylindrical coordinate expressions, we get:

\(xy^2\) = \(r^3\)cosθ \(sin^2\)θ

Therefore, the integral becomes:

∫₀² ∫₀²π ∫₀³ r³ cosθ sin²θ dz dθ dr

The innermost integral with respect to z is easy to compute:

∫₀³ r³ cosθ sin²θ dz = [r³ cosθ sin²θ z]₀³ = 3r³ cosθ sin²θ

The middle integral with respect to θ is also easy to compute:

∫₀²π 3r³ cosθ sin²θ dθ = 0 (by symmetry)

Therefore, the integral reduces to:

∫₀² 0 dr = 0

So the value of the iterated integral is 0.

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Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

Answer:

3 , 4 , 2 , 2 , 1 , 1

Step-by-step explanation:

tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AC}\) = \(\frac{a}{b}\) → 3

tan B = \(\frac{opposite}{adjacent}\) = \(\frac{AC}{BC}\) = \(\frac{b}{a}\) → 4

cos A = \(\frac{adjacent}{hypotenuse}\) = \(\frac{AC}{AB}\) = \(\frac{b}{c}\) → 2

sin B = \(\frac{opposite}{hypotenuse}\) = \(\frac{AC}{AB}\) = \(\frac{b}{c}\) → 2

sin A = \(\frac{opposite}{hypotenuse}\) = \(\frac{BC}{AB}\) = \(\frac{a}{c}\) → 1

cos B = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{AB}\) = \(\frac{a}{c}\) → 1

The graph of a proportional relationship is a line through the origin or a ray whose endpoint is the origin

3. No because it's a line that doesn't go through the origin

4. Yes because it's a line through the origin

5. Yes because 1/3 = 2/6 = 3/9 = 4/12

6. No because 4/2 isn't equal to 8/5

7. Draw a graph just like 4., but change the y-axis

8. a. Let the equation be y = ax. 27 = 3a. a = 9. Therefore the equation is y = 9x.

8. b. 9

8. c. 9 * 5 = 45

9. a. The car travels 25 (> 18) miles per gallon of gasoline.

9. b. 25 * 8 - 18 * 8 = 7 * 8 = 56

Answer:

1st

Step-by-step explanation: i think

Answers

πr^2h

Step-by-step explanation:

because this is the volume of a

Step-by-step explanation:

the volume of a cone is

base area × height / 3

pi×r² × height / 3

pi×10² × 12 / 3 = 100pi × 4 = 400pi in²

for the first cone

pi×5² × 12 / 3 = 25pi × 4 = 100pi in²

She received a 35% discount (A).

Answer:

81

Step-by-step explanation:

5 times 6 is 30 times 3 is 90 - 9 is 81

Answer: either 24 or -24

The number of bits transferred or received per unit of time is referred to as the "bit rate."

The term "bit rate" refers to the rate at which bits of data are transferred or received in a given unit of time. It measures the speed or capacity of a digital communication channel to transmit information.

Bit rate is typically expressed in bits per second (bps) or multiples thereof, such as kilobits per second (Kbps) or megabits per second (Mbps). It represents the amount of data that can be transmitted or received in a specific timeframe.

For example, a bit rate of 1 Mbps means that one million bits can be transferred or received in one second. Higher bit rates indicate a faster data transmission or reception capability.

Bandwidth, on the other hand, refers to the capacity of a communication channel to carry data and is typically measured in hertz (Hz). It represents the range of frequencies that can be transmitted through the channel.

Wireless fidelity (Wi-Fi) is a technology standard that enables wireless local area networking. While Wi-Fi can be used to transmit data wirelessly, the specific term for the rate at which data is transferred or received is still referred to as the "bit rate."

In summary, the term "bit rate" accurately describes the number of bits transferred or received per unit of time in a digital communication system.

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The equations that, together with y = -1.5x + 3, make a system with one solution are: 1. Y = -1.5x + 6, 4. 2Y + 3x = 6, 5. Y = -2x + 3

To find the equation that makes a system with one solution when paired with y = -1.5x + 3, we need to find an equation with a different slope and/or a different y-intercept.

Let's analyze each given equation:

1. Y = -1.5x + 6: This equation has the same slope as y = -1.5x + 3 but a different y-intercept, so it has one solution.

2. Y = -1.5x: This equation has the same slope as y = -1.5x + 3, and therefore has an infinite number of solutions (or is dependent), so it's not the answer.

3. 2Y = -3x + 6: To compare with the given equation, let's put it in the same format. Divide both sides by 2 to get Y = -1.5x + 3, which is the same as the given equation, so it's not the answer.

4. 2Y + 3x = 6: To compare with the given equation, let's put it in the same format. Divide both sides by 2 to get Y + 1.5x = 3. This equation has a different slope, so it has one solution.

5. Y = -2x + 3: This equation has a different slope and y-intercept, so it has one solution.

Thus, the equations that, together with y = -1.5x + 3, make a system with one solution are:

1. Y = -1.5x + 6
4. 2Y + 3x = 6
5. Y = -2x + 3

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Answer: Black

Step-by-step explanation: There are 12 squares, so just think of a multiple of 12 that is close to 64.

12*5 = 60

So the same pattern can be repeated 5 times, the 60th square would be the last one, so the new pattern starts with 61, which is black.

62 and 63 would be white, so 64 is the 4th square, which is black.

If the pattern is repeated than the color of square 61 is black.

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The given patterns has 12 square which has 4 black shades.

We have to find the color of the square which is at 61.

Let us find the number which is near to 61 and a multiple of 12.

Which is 64.

We know that  12×5 = 60

So the same pattern can be repeated 5 times, the 60th square would be the last one, so the new pattern starts with 61, which is black.

62 and 63 would be white, so 64 is the 4th square, which is black.

Hence, if the pattern is repeated than the color of square 61 is black.

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The quadrilateral described by the coordinates (0,0), (0,b), (a,b), and (a,0) in the first coordinate plane, where a is not equal to b, is a rectangle due to its right angles and equal opposite sides.

The quadrilateral described by the coordinates (0,0), (0,b), (a,b), and (a,0) in the first coordinate plane, where a is not equal to b, is actually a rectangle.

A rectangle is a quadrilateral with four right angles (90-degree angles). In this case, the sides connecting (0,0) to (0,b) and connecting (a,0) to (a,b) are vertical and have the same length of b, while the sides connecting (0,0) to (a,0) and connecting (0,b) to (a,b) are horizontal and have the same length of a. Thus, all four angles of the quadrilateral are right angles.

Since the opposite sides of the quadrilateral are parallel and equal in length, and all angles are right angles, the most accurate classification for this quadrilateral is indeed a rectangle.

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Answer:

11.25 miles

Step-by-step explanation:

To figure out how many miles John will travel in 1/2 an hour, we can use the following formula:

distance = rate x time

We know the rate, which is the number of miles John can travel per hour. We can find this by dividing the total distance by the total time:

rate = distance / time

rate = 45 miles / 2 hours

rate = 22.5 miles per hour

Now we can use this rate and the given time of 1/2 an hour to find the distance:

distance = rate x time

distance = 22.5 miles per hour x 1/2 hour

distance = 11.25 miles

Therefore, John will travel 11.25 miles in 1/2 an hour at this rate.

Answer:

88.4 centimeters

Step-by-step explanation:

I just finched the quiz 2.03

that was the right answer :)

Answer:

7. adjacent (next to each other)

8. vertical (right across from each other)

9. vertical (right across from each other)

10. neither

11. adjacent (right next to each other)

12. neither

Before I go on: all these angles have the same measure as the one across, so ∠SYX has the same measure as ∠UYV (76°), ∠XYW has the same measure as ∠TYU (40°), and ∠WYV has the same measure as ∠SYT (64°)...

13. ∠SYX = 76°

14. ∠XYW = 40°

15. ∠WYV = 64°

These last three are angles added together. They look tricky, but you just note the endpoints and add the measures of the included angles together.

16. ∠SYW = ∠SYX + ∠XYW = 76° + 40° = 106°

    ∠SYW = 106°

17. ∠TYX = ∠SYX + ∠SYT = 76° + 64° = 140°

    ∠TYX = 140°

18. ∠VYX = ∠WYV + ∠XYW = 64° + 40° = 104°

    ∠VYX  = 104°

I hope this helps you understand the concept! Have a great day!

Given the exponential expression

Give the general exponential equation

The equivalent logarithmic functions is given as:

Compared with the exponential function:

• a = 8

• b = 2/3

• y = 4

Substitute into the logarithm equivalent:

Answer:

19.6 is the correct answer

Answer:

19.6

Step-by-step explanation:

39.2/2

19.6

A set of values for the decision variables that satisfy all the constraints and yields the best objective function value is a feasible solution that optimizes the objective function.

In optimization problems, decision variables are the quantities that we can control or adjust to achieve a desired outcome. Constraints are the limitations or conditions that these decision variables must satisfy. The objective function represents the goal or objective we want to optimize.

A feasible solution refers to a set of values for the decision variables that satisfy all the given constraints. This means that the solution meets all the specified requirements and does not violate any constraints. However, there can be multiple feasible solutions that meet the constraints.

Among these feasible solutions, the one that yields the best objective function value is the optimal solution. The objective function value is a measure of how well the solution aligns with the desired objective. The goal is typically to maximize or minimize this objective function value, depending on the problem.

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For the first series, we can use the Limit Comparison Test by comparing it to the series 1/n^2. Specifically, we will take the limit as n approaches infinity of the quotient of the two series:

lim_n->∞ [(n + 7)/(n^3 - 3n + 3)] / (1/n^2)

= lim_n->∞ [(n + 7)/(n^3 - 3n + 3)] * (n^2/1)

= lim_n->∞ [(n^3 + 7n^2)/(n^3 - 3n + 3)]

Since the numerator and denominator both have degree 3, we can apply L'Hopital's rule:

= lim_n->∞ [(3n^2 + 14n)/(3n^2 - 3)]

= lim_n->∞ [3 + 14/n] / [3 - 3/n^2]

= 3/3 = 1

Since the limit is positive and finite, and the series 1/n^2 is known to converge, the original series also converges.

For the second series, we can use the Limit Comparison Test by comparing it to the series 1/n^2. Specifically, we will take the limit as n approaches infinity of the quotient of the two series:

lim_n->∞ [(n^(k-1))/(n^(k+7))] / (1/n^2)

= lim_n->∞ (n^(k-1) * n^2) / (n^(k+7))

= lim_n->∞ n^(k+1) / n^(k+7)

= lim_n->∞ 1/n^6

Since the limit is positive and finite, and the series 1/n^2 is known to converge, the original series also converges.

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Answer:

Step by step explanation:

To convert a radical in exponential form, the power inside the radical converts in the numerator of the exponential.

And the root converts in the denominator.

Then, in exponential form would be:

Answer:

Step-by-step explanation:

12. 15 (3x5x1)

13.  8  (4x2x1)

14. 18 (6x3x1)

Answer:

T=x/78

Step-by-step explanation:

the height, 6000, divided by 78, is equal to 76, not sure for the 12k one tho

The linear equation to represent the temperature T at an elevation of x, where x is in thousands of feet is T = -(2000/3)x + (4228/3).

The equation of a line in slope-intercept form is y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at

x = 0.

We know the slope is (y₂ - y₁)/(x₂ - x₁).

∴ Here the temperature is y and the height is x.

And the points are (6000, 76) and (12000, 49)

So, slope =(12000 - 6000)/(49 - 76).

Slope = (6000/-27).

Slope = -(2000/9).

Now we have to determine the y-intercept by putting any of the points in y = mx + b.

So, 76 = -(2000/9)×6000 + b.

76 = -(12000/9) + b.

76 = -(4000/3) + b.

b = 4000/3 + 76.

b = 4228/3.

∴ y = -(2000/3)x + (4228/3) or T = -(2000/3)x + (4228/3).

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