If a line on a graph is horizontal, what kind of slope does it have?
a.) undefined slope
b.) negative slope
c.) zero slope
d.) positive slope

1a. 10. 24

1b. 125/243

2a. 0. 0048

2b. 32/3125

3a. 0. 64

3b. 0. 0031

4a. 2/5

4b. 48. 735

5a. 2. 36

5b. 1. 39

1a. Given the values

(2/5)^2/(1/2)^6

Multiply both the numerator and denominator by the powers

⇒ \(\frac{\frac{4}{25} }{\frac{1}{64} }\)

To find the common ration, multiply thus;

⇒ \(\frac{4}{25}\) × \(\frac{64}{1}\)

⇒ \(\frac{256}{25}\)

= 10. 24

1b. (5/7)^2 × (5/7)^1

= \(\frac{25}{49}\) × \(\frac{5}{7}\)

= \(\frac{125}{343}\)

= 125/243

2a. 0. 6^1  × 0. 2^3

= 0. 6 × 0. 008

= 0. 0048

2b. (2/5)^3 × (2/5)^2

= \(\frac{8}{125}\) × \(\frac{4}{25}\)

= \(\frac{32}{3125}\)

= 32/ 3125

3a. 1^99 - 0. 6^2

= 1 - 0. 36

= 0. 64

3b. (0. 2 ) ^1 × (1/8)^2

= 0. 2 × 1/64

= 0. 2 × 0. 016

= 0. 0031

4a. (1/2)^2/ (5/8)^1

= \(\frac{\frac{1}{4} }{\frac{5}{8} }\)

Take the inverse of the denominator

= \(\frac{1}{4}\) × \(\frac{8}{5}\)

= 2/5

4b. 7^2 - 0. 5^3

= 49 - 0. 125

= 48. 875

5a. 3^1 - 0. 8 ^2

= 3 - 0. 64

= 2. 36

5b. 0. 7^2 + 0. 9^1

= 0. 49 + 0. 9

= 1. 39

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Answer:

m=13

Step-by-step explanation:

7m+21=5m-5

7m-5m=2m

2m+21=-5

-5-21=-26

2m=-26

-26/2

13

13=m

Answer:

m=-13

Step by step is glitching out

Answer:

r is around 14 in

Step-by-step explanation:

615.8* pi*r^2

hope this helps! :)

Answer:

12.483

Step-by-step explanation:

\(S=\pi r\sqrt{r^{2} +h^{2} }\)

\(121=\pi 3\sqrt{3^{2} +h^{2} }\)

\(121 =9.425\sqrt{3^{2} +h^{2} }\)

\(12.838^{2} =\sqrt{3^{2} +h^{2} }^{2}\)

\(164.814=3^{2} +h^{2}\)

\(164.814=9 +h^{2}\)

\(155.814=h^{2}\)

\(\sqrt{155.814}=\sqrt{ h^{2}\)

12.483=h

Answer:If 1200 square inch of material is available to make a box with a square base and no top

Step-by-step explanation:

The interior angle of a parallelogram is proportional to the measure of another angle with a ratio of 0.25:1.

A parallelogram is a four-sided flat shape that has opposite sides that are parallel and equal in length. The sum of the interior angles of a parallelogram is equal to 360 degrees. If the measure of one interior angle is 0.25 times the measure of another angle, this means that there is a proportionate relationship between the two angles. To find the measure of the second angle, we can use the formula:

Angle 2 = (Angle 1) / 0.25

For example, if Angle 1 is 100 degrees, then Angle 2 is 100 / 0.25 = 400 degrees. This means that if one angle measures 100 degrees, the other angle measures 400 degrees. The sum of the two angles is 500 degrees, which is still less than the total sum of interior angles in a parallelogram, which is 360 degrees.

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The number of ways to chose a president, vice president, secretary, and treasurer of the club, where no person can hold more than one office is 11880.

If the person cannot hold more than one office.

Then the number of ways of selecting a president, vice president, secretary and treasurer of the club from the club consisting of 12 member is given by the permutation ¹²P₄.

Because we have to select four member out of 12,

So, solving further,

= ¹²P₄

= 12!/(12-4)!

= 12!/8!

= 12 x 11 x 10 x 9

= 11880.

So, there are a total of 11880 ways to chose the members.

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Complete question - A club has 12 members A president, a vice president, a secretary, and a treasurer are to be chosen from these members. A member cannot serve for more than one position. In how many ways can this be down?

The position of the particle at time t = 14 is 4692.

We are given that the acceleration of a particle is a(t) = 6t + 18.

We need to find the position of the particle at time t = 14, given that its position at time t = 0 is s(0) = 2 and its velocity at time t = 0 is v(0) = 13.

To find the position of the particle at time t = 14, we need to integrate the acceleration function twice with respect to time to get the position function.

First, we integrate the acceleration function to get the velocity function:

v(t) = ∫ a(t) dt = ∫ (6t + 18) dt = 3t² + 18t + C1

We know that the velocity at time t = 0 is v(0) = 13. Substituting this value, we get:

v(0) = 3(0)² + 18(0) + C1 = C1 = 13

So, the velocity function is:

v(t) = 3t² + 18t + 13

Next, we integrate the velocity function to get the position function:

s(t) = ∫ v(t) dt = ∫ (3t² + 18t + 13) dt = t³ + 9t² + 13t + C2

We know that the position at time t = 0 is s(0) = 2. Substituting this value, we get:

s(0) = (0)³ + 9(0)² + 13(0) + C2 = C2 = 2

So, the position function is:

s(t) = t³ + 9t² + 13t + 2

Finally, we can find the position of the particle at time t = 14 by substituting t = 14 into the position function:

s(14) = (14)³ + 9(14)² + 13(14) + 2 = 2744 + 1764 + 182 + 2 = 4692

Therefore, the position of the particle at time t = 14 is 4692.

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Answer:

A.B.C.D.H

Step-by-step explanation:

Answer:

This is not a lie... "A" "B" "C" "D" and, "H" is quite literally the answer.

Step-by-step explanation:

I was seriously doubting that the answer was going to be that, but... dang It's right.... that comment must really like "terms" this question.... Juan is about to check which taco he likes for every term.... which ones should he check? carne asada? pollo asado? pork?...... but wait.... there's combination flavors... o.o, he decides to choose all that apply to his liking.

I'm sorry but I couldn't help myself, Mexicans might understand better lol.

Have a Jocular Day

The Slope of the line passing through the points (-2,1) and (2,-1) is -1/2 .

The Slope(m) of the line is defined as the change in y coordinate with respect to change in x coordinate ,

The Slope(m) of line passing through the points A(a,b) and B(c,d) is calculated using the formula

m = (d-b)/(c-a)

In the question

it is given that the line passes through the points (-2,1) and (2,-1) .

name the points as A(-2,1) and B(2,-1) .

the values are a=-2  ,  b=1  ,  c=2  ,  d=-1 .

Substituting the values in the formula of Slope we get

m = (-1-1)/(2-(-2))

= -2/(2 + 2)

= -2/4

= -1/2

Therefore , the slope of the line passing through the points (-2,1) and (2,-1)  is -1/2 .

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Answer:

Step-by-step explanation:

The Slope of the line passing through the points (-2,1) and (2,-1) is -1/2 .

The complete graph with 100 vertices will have \(\( \binom{100}{2} = 4950 \)\)edges. Therefore, the correct option is (a) 4950. A connected graph with 100 vertices must have at least 99 edges.

1. A complete graph with 100 vertices means that there is an edge between every pair of vertices. The number of edges in a complete graph with n vertices is given by the formula \(\( \binom{n}{2} = \frac{n(n-1)}{2} \)\). Substituting n = 100, we get\(\( \frac{100 \cdot 99}{2} = 4950 \)\) edges.

2. In a connected graph with n vertices, the minimum number of edges required to ensure connectivity is n - 1. Therefore, a connected graph with 100 vertices must have at least 99 edges.

3. The given algorithm has a loop that divides the value of k by 2 in each iteration. As long as k is greater than or equal to 1, the loop continues. Since the value of k is halved in each iteration, the loop will run approximately \log ntimes. Therefore, the complexity of the algorithm is \(\( O(\log n) \)\).

4. The Minimum Spanning Tree algorithm is a Greedy method because it makes locally optimal choices at each step to construct the minimum spanning tree.

5. A graph is called connected if there is a path between every pair of vertices. Therefore, if a graph has a path between each two vertices, it is a connected graph.

6. NP-Complete problems are a subset of problems in the NP-class and are also NP-Hard. Therefore, any problem in the NP-Complete class is in both NP-class and NP-Hard class.

7. The algorithm with linear complexity is the Max is in-place Algorithm, which finds the maximum element in an array by comparing each element with the current maximum and updating it if necessary.

8. The worst-case time complexity of Insertion Sort is\(\( O(n^2) \)\) because in the worst case, for each element, it may need to be compared and shifted with every element to its left.

9. Dijkstra's algorithm is an example of the Greedy method for finding the shortest path in a graph.

10. The correct option is not provided for question 10, as none of the given options

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Answer:

Explanation:

Generally, the slope-intercept form of the equation of a line is given as;

where m = the slope of the line

b = y-intercept of the line

From the question, we're told that the required line will pass through the origin and (3, 2), so we can find our slope(m) of the line using the given coordinates x1 = 0, y1 = 0, x2 = 3, and y2 = 2;

So the slope(m) of the line is 2/3.

Since we're told that the line will pass through the origin, it means that the y-intercept (b) = 0.

Since the gragh will be shaded above the dashed line, it means that the inequality will have a greater than sign(>).

We're told that the line will be dashed, it means that the function have only the greater than sign(>) without the equal to sign(=).

Combining all the information above, the function for the line can be

\(\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\frac{11\pi }{6}\\[1em] r=18 \end{cases}\implies s=18\cdot \cfrac{11\pi }{6}\implies s=33\pi \implies s\approx 104~cm\)

The value of cos2x when sine of x equals negative 15 over 17 and cos x > 0 is -161/289.

The ratio of the neighboring side's length to the longest side, or hypotenuse, in a right triangle is known as the cosine. Let's say that the hypotenuse of a triangle ABC is written as AB, and the angle between the hypotenuse and base is written as.

It's interesting to see that cos's value varies depending on the quadrant. As observed in the above table, cos 0°, 30°, etc. have positive values while cos 120°, 150°, and 180° have negative values. Cos will have a good value in the first and fourth quadrants.

Given that, sin x equals negative 15 over 17.

Using the Pythagoras theorem we have:

(17)² = (- 15)² + y²

y = 8

The value of cos x = 8/17

Then the value of cos2(x) is calculated using the formula:

cos2x = cos²x - sin²x

cos2x = (8/17)² - (15/17)²

cos2x = -161/289

Hence, the value of cos2x when sine of x equals negative 15 over 17 and cos x > 0 is -161/289.

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The car must achieve an acceleration of 120 mi/hr^2 during the 10-minute interval according to the Mean Value Theorem. To find the acceleration of the car, we can use the Mean Value Theorem, which states that there must be a point in time between 2:00pm and 2:10pm where the instantaneous velocity of the car is equal to the average velocity over that time period.

The average velocity of the car over this time period is: Average velocity = (change in distance) / (change in time)
Average velocity = (70 - 50) / 10 minutes = 2 mi/min
To convert mi/min to mi/hr, we multiply by 60:
Average velocity = 2 mi/min * 60 min/hr = 120 mi/hr
So, there must be a point in time where the instantaneous velocity of the car is equal to 120 mi/hr. Now, we can use the formula for acceleration: Acceleration = (change in velocity) / (change in time)
We know the change in velocity is 70 - 50 = 20 mi/hr, and the change in time is 10 minutes, or 1/6 hour.
Acceleration = (20 mi/hr) / (1/6 hour) = 120 mi/hr^2
Therefore, the acceleration the car must achieve is 120 mi/hr^2.

Using the Mean Value Theorem and the formula for acceleration, we found that the car must achieve an acceleration of 120 mi/hr^2 between 2:00pm and 2:10pm.
Answer: Using the Mean Value Theorem, we can determine the acceleration the car must achieve between 2:00 pm and 2:10 pm. In the given scenario, the car's speed changes from 50 mph to 70 mph over a 10-minute time interval. To apply the Mean Value Theorem, first, we need to convert the time interval to hours. Ten minutes is equal to 1/6 of an hour (10/60). Now, we can find the average rate of change in speed (also known as acceleration) by dividing the change in speed by the change in time. The change in speed is 70 mph - 50 mph = 20 mph. The change in time is 1/6 of an hour. Therefore, the acceleration is: Acceleration = (Change in Speed) / (Change in Time) = 20 mph / (1/6 hr) = 120 mi/hr^2.

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The value of x is 5 / 12.

The algebraic expression should often take one of the following forms: addition, subtraction, multiplication, or division. Bring the variable to the left and the remaining values to the right to determine the value of x. To determine the outcome, simplify the values.

Thus to solve for x you simply have to keep the like terms one side and the others on the other side .

The given equation is : 6x + 1 = -6 ( 1 - x)

6x + 1 = -6x + 6

12x = 5

x = 5 / 12

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Answer:

It would take 9 years for the population to fall below 10000.

Answer:

:>

Step-by-step explanation:

yufgvhjbfhbvnfmnbjgfkjbingmknb jgkfbm jnnmnnnnnn

Answer:

slopes points=4576789y5qscm

Answer:

Step-by-step explanation:

Answer: 1

Step-by-step explanation: 1.27 is 27 hundredths from 1, but 73 hundredths from 2. Therefore it's nearest whole number is 1.00 = 1.

Answer:

2 pounds per hour

Step-by-step explanation:

there is 24 hours in a day so 48 divided by 24 = 2

So they make 2 pounds per hour

Answer:

no, it does not

Step-by-step explanation:

Hello

-x+4y=-5

so

\(4y = x-5\\<=> y=\dfrac{1}{4}x-\dfrac{5}{4}\)

we say that y varies directly with x if y=kx

in this example we have an additional constant, the graph is not a line through the origin so this is not a direct variation

hope this helps

I dont know sorry but i bet someone else knows

ANSWER: The probability is 1/35.

To determine the probability of selecting all yellow envelopes, we need to calculate the ratio of favorable outcomes (selecting three yellow envelopes) to the total number of possible outcomes (selecting any three envelopes without replacement).

The total number of envelopes is 2 red + 1 blue + 1 green + 3 yellow = 7 envelopes.

The number of ways to choose three yellow envelopes from the collection is given by the combination formula:

C(3, 3) = 1

The number of ways to choose any three envelopes from the collection is given by:

C(7, 3) = 7! / (3! * (7 - 3)!) = 7! / (3! * 4!) = (7 * 6 * 5) / (3 * 2 * 1) = 35

Therefore, the probability of selecting all yellow envelopes is:

P(all yellow) = favorable outcomes / total outcomes = 1 / 35

The probability is therefore 1/35.

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The volume of the cone in this problem is given as follows:

V = 48π units³.

The volume of a cone of radius r and height h is given by the equation presented as follows:

V = πr²h/3.

From the image given in this problem, the parameters are given as follows:

r = 6 mm, h = 4 mm.

Hence the volume is given as follows:

V = π x 6² x 4/3

V = 48π units³.

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Answer:

The answer is1,2,3,6,9,or 18

Step-by-step explanation:

Sorry i was not there sooner hope you have a good night.

Answer:

The answer is 1,2,3,6,9, or 18

A correlation coefficient of -1.0 between two sets of numbers that when one set of numbers goes up, the other set goes down; a complete lack of any correlation between the two sets. The correct answer is d)

The correlation coefficient measures the strength and direction of the linear relationship between two sets of numbers. It ranges from -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no linear correlation.

When the correlation coefficient is -1.0, it signifies a perfect negative correlation. This means that when one set of numbers increases, the other set decreases in a perfectly linear fashion. As the value of one set of numbers increases, the value of the other set decreases in a proportional manner.

Therefore, option d) is the correct answer, as it accurately describes the behavior exhibited by a correlation coefficient of -1.0. It indicates a complete lack of any correlation between the two sets, with one set going up while the other set goes down in a perfectly linear relationship.

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Complete question is:

A correlation coefficient of -1.0 between two sets of numbers

a) indicates a positive correlation between the two sets.

b) that when one set of numbers goes up, so does the other set.

c) an indefinite relationship between the two sets.

d) that when one set of numbers goes up, the other set goes down a complete lack of any correlation between the two sets.

Each twelve-inch square tile weighs approximately 27 ounces.

To calculate the weight of each tile in ounces, we need to convert the weight of the box from pounds to ounces and divide it by the number of tiles in the box. Since there are 16 ounces in a pound, the weight of each box is 36 pounds * 16 ounces/pound = 576 ounces.

If there are 20 tiles in each box, we divide the weight of the box (576 ounces) by the number of tiles (20) to get the weight of each tile: 576 ounces / 20 tiles = 28.8 ounces. Rounding to the nearest ounce, each twelve-inch square tile weighs approximately 27 ounces.


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