Which shows sets to which the number
on the number line belongs

Answer:

\(3x - 10 = 2(x + 6) \\ 3x - 10 = 2x + 12 \\ 3x - 2x = 12 + 10 \\ \boxed{x = 22}✓\)

Answer:

2 x-intercepts at 3 and 9

Step-by-step explanation:

x^2-12x+27=0

(factoring)

(x-3)(x-9)=0

this tells us that there is going to be a x-intercept at both 3, and 9, and that there is no stretching of it. It would look like this.

The formula to calculate the new value after an increase is to multiply the original value by the percentage of the increase.

The formula to calculate the new value after an increase is to multiply the original value by the percent of the increase. For example, if the original value is $100 and the increase is 10%, the new value would be $100 x 1.10 = $110. This formula can be applied to any original value and any percentage increase. It is useful for calculating the new value after applying a percentage increase, such as when calculating a pay raise or the cost of goods after a price increase. The formula can also be applied to calculate the new value after a percentage decrease, by multiplying the original value by 1 minus the percentage of the decrease.

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The complete question is

the formula for calculating the value after an increase by multiplying the original value by the percent for a new value is: value after increase  by multiplying the original value by the percent for a new value?

Answer:

m=2j+10

m+j=52

Step-by-step explanation:

m = maria

j = juan

Answer:

at x=2, the graph of y=(1/x^2)-(1/x^3) has a point of inflection

Step-by-step explanation:

Answer:

\(\frac{27}{26}\) or 1\(\frac{1}{26}\)

Step-by-step explanation:

Answer:

Jessica can make 12 bracelet in 180 minutes (3 hours).

Step-by-step explanation:

Number of bracelet Jessica can make in 30 minutes=2

Number of bracelet Jessica can make in 180 minutes=(180×2)/30=12

or,

Number of bracelet made by Jessica is directly proportional to the time taken by her.

Number of bracelet made by Jessica=k×time taken by her, where k is a constant

In all cases value of k is 15

Therefore,

Let the number of bracelet be x and putting the value of k, we get

xk=180 minutes (3 hours)

15x=180

x=180/15

x=12

Based on the calculations,  it would not be very unusual to have more than 153 dentists recommend mintyfresh toothpaste.

The proportion of dentists who recommend mintyfresh toothpaste is 7/8 = 0.875. The expected number of dentists who recommend mintyfresh toothpaste in a sample of 170 is 170 x 0.875 = 148.75. The standard deviation of the sampling distribution is √(np(1-p)) = √(170 x 0.875 x 0.125) = 4.71.

To find the probability of having more than 153 dentists recommend mintyfresh toothpaste, we calculate the z-score as (153 - 148.75) / 4.71 = 0.91. Using a standard normal distribution table, we find that the probability of having a z-score greater than 0.91 is approximately 0.1826, or 18.26%.

Therefore, it would not be very unusual to have more than 153 dentists recommend mintyfresh toothpaste.

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Hurricanes are classified into five levels based upon their wind speed.

The minimum wind speed of a level-1 hurricane is approximately 67% of the minimum wind speed of a level-3 hurricane.

The given, minimum wind speed of a level-3 hurricane is 111 miles per hour

We need to find the minimum wind speed of a level-1 hurricane.

Let the minimum wind speed of a level-1 hurricane be x miles per hour.

Applying the given, 67% of the minimum wind speed of a level-3 hurricane is equal to the minimum wind speed of a level-1 hurricane67% of 111 mph is equal to x mph.

67/100 × 111 = x mph

         74.37 = x mph (approx)

Therefore, the minimum wind speed of a level-1 hurricane is 74 miles per hour (approx).

Hence, the solution is "The minimum wind speed of a level-1 hurricane is 74 miles per hour (approx)."

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The minimum wind speed of a level-1 hurricane is given as follows:

74 miles per hour.

The minimum wind speed of a level-1 hurricane is obtained applying the proportions in the context of the problem.

For a level-3 hurricane, the wind speed is given as follows:

111 miles per hour.

The proportion for the level-1 hurricane wind speed is given as follows:

0.67.

Hence the minimum wind speed of a level-1 hurricane is given as follows:

0.67 x 111 = 74 miles per hour.

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Answer:

2.5782963e+29

Step-by-step explanation:

basically 19 times itself 63 times

Answer:

19^63  ,  3.6431483821774E+80

Step-by-step explanation:

Answer:

the answer is c :)

Step-by-step explanation:

Step-by-step explanation:

Area of this kit = 1/2 (gf * hf)    

   258 yd^2  = 1/2 (43 * HF )

      HF =   258 *2 / 43 = 12 yds

The magnitude of the wind velocity can be determined by calculating the component of the plane's ground speed that is perpendicular to its heading. The direction of the wind velocity can be found by considering the angle between the plane's heading and its ground track.

(a) The magnitude of the wind velocity is 62 km/h.

(b) The direction of the wind velocity is 1.72° east of due south.

To find the magnitude of the wind velocity, we need to calculate the difference between the ground speed and the airspeed of the plane. The ground speed is the resultant vector of the plane's airspeed and the wind velocity. Since the ground speed is perpendicular to the plane's heading, we can use trigonometry to find the component of the ground speed that is perpendicular to the heading.

First, we convert the airspeed and distance traveled to meters per second and meters, respectively:

Airspeed = 490 km/h = 490 * 1000 m / 3600 s ≈ 136.11 m/s

Distance = 770 km = 770 * 1000 m ≈ 770,000 m

The time taken is given as 2.00 hours, which we convert to seconds:

Time = 2.00 hours * 3600 s/hour = 7200 s

Using the equation:

Distance = Speed * Time,

we can calculate the ground speed:

Ground Speed = Distance / Time

Next, we calculate the component of the ground speed perpendicular to the heading. Since the plane is headed 16.0° east of due north, the perpendicular component of the ground speed is:

Perpendicular Component = Ground Speed * sin(16.0°)

Finally, we subtract the airspeed of the plane from the perpendicular component of the ground speed to find the magnitude of the wind velocity:

Magnitude of Wind Velocity = Perpendicular Component - Airspeed

To find the direction of the wind velocity, we consider the angle between the plane's heading and its ground track. Since the plane is headed 16.0° east of due north, the ground track is 16.0° east of due north as well. However, we need to express the direction relative to due west, where north of west is a positive angle and south of west is a negative angle. Therefore, we subtract 90° from the angle to obtain the direction of the wind velocity relative to due west:

Direction = 16.0° - 90° = -74.0°

So, the direction of the wind velocity is 74.0° east of due west or 1.72° east of due south.

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They should use 6 cup of Noah's measuring cup

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Calculating the number of cup the should use:

Number of cup = Recipe call / Noah's cup

Number of cup = (3/4) / (1/8)

Number of cup = 3*8 / 4*1

Number of cup = 24/4

Number of cup = 6

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Correctly written question:

Melanie and Noah are baking a birthday cake for Francesca. The recipe call for 3/4 measuring cup and Noah has a 1/8 measuring cup. Which cup should they use?

The probabilities are a) 0.2015 ,b)  0.283, c) 0.585.

a) Given that the vaccine was tested on 10,000 volunteers and it is shown that 65% of those tested do not get sick from the coronavirus. Therefore, the probability that a randomly vaccinated person does not get sick from the coronavirus = 65/100 = 0.65 And, the probability of getting side effects among those who did not get sick = 0.31

P(A and B) = P(A) * P(B|A), where A and B are two independent events

Hence, the probability that a randomly vaccinated person does not get sick from the coronavirus and does not get side effects P(A and B) = P(not sick) * P(no side effects|not sick)

= (0.65) * (0.31) = 0.2015 or 20.15%

Therefore, the probability that a randomly vaccinated person does not get sick from the coronavirus and does not get side effects is 0.2015 or 20.15%.

b) Probability of getting side effects among those who did not get sick = 0.31. Probability of getting side effects among those who became ill with corona despite vaccination = 0.15. Therefore, the probability that a randomly vaccinated person gets side effects

P(Side Effects) = P(no sick) * P(no side effects|no sick) + P(sick) * P(side effects|sick)= (0.65) * (0.31) + (1 - 0.65) * (0.15)

= 0.283

Therefore, the probability that a randomly vaccinated person gets side effects is 0.283 or 28.3%.

c) The probability of a randomly vaccinated person who has not had any side effects = P(no side effects)= P(no side effects and no sick) + P(no side effects and sick)= P(no side effects | no sick) * P(no sick) + P(no side effects | sick) * P(sick)= 0.31 * 0.65 + 0.85 * (1 - 0.65)= 0.585

Therefore, the probability of a randomly vaccinated person who has not had any side effects do not get sick from the coronavirus is 0.585 or 58.5%.

Therefore, the probabilities are a) 0.2015 ,b)  0.283, c) 0.585.

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Explanation:

The blue rectangle has area of 4a^2*6a^2 = 24a^4

The red rectangle has area 4a^2*9a = 36a^3

The green rectangle has area 4a^2*3 = 12a^2

The total area is 24a^4 + 36a^3 + 12a^2

Answer:

22.5% increase.

Step-by-step explanation:

Because her collection grows by 9, that means it increases by 9/40 total. As a decimal, this would be 0.225. Then, as a percent you multiply that by 100 to get 22.5%. Pilar's collection increased by 22.5%

Answer:

hahaha is

easy hmm..........

A deck has a total of 52 cards.

The probability of getting a black 4 is then:

The numbering system we commonly use is called the decimal numbering system because it uses 10 symbols to represent all possible numbers.

A way of writing numbers is known as a number system.

There are the following number systems:

Hence, we can say that the numbering system we commonly use is called the decimal numbering system because it uses 10 symbols to represent all possible numbers.

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Answer:

adding up all the sides

Step-by-step explanation:

Answer:

I LIKE BAKED BEANS (ToT)

Step-by-step explanation:

The 90% confidence interval for the average speed of all the cars passing through the intersection is (41.29, 42.71) miles per hour.

To calculate the confidence interval, we can use the formula:

Confidence interval = Sample mean ± (Critical value * Standard error)

Given that the sample mean is 42 miles per hour and the standard deviation is 4.2 miles per hour, we need to determine the critical value and the standard error.

Since we have a sample size of 85, we can use the t-distribution with (n-1) degrees of freedom to find the critical value. With a 90% confidence level, the corresponding critical value for a two-tailed test is approximately 1.66.

The standard error is calculated as the standard deviation divided by the square root of the sample size:

Standard error = (Standard deviation) / √(Sample size)

Standard error = 4.2 / √85 ≈ 0.456

Now we can plug in the values into the confidence interval formula:

Confidence interval = 42 ± (1.66 * 0.456)

Confidence interval ≈ (41.29, 42.71)

Therefore, the 90% confidence interval for the average speed of all the cars passing through the intersection is (41.29, 42.71) miles per hour.

Based on the given data and calculations, we can conclude that with 90% confidence, the average speed of all the cars passing through the intersection falls within the range of 41.29 to 42.71 miles per hour.

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The length of AC in triangle BAC is equal 10.7 units

In trigonometry, the cosine rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The formula is given as

AC² = AB² + BC² - 2(AB)(BC) cos AC

AC² = 6² + 7² - 2(6)(7)cos110

AC = 10.7

Using cosine rule, the length of AC is 10.7 unit.

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The general solution to the given differential equation is y(x) = c1 e²ˣ + c2 cos(3x) + c3 sin(3x), where c1, c2, and c3 are constants determined by initial conditions.

The characteristic polynomial is r³ + 2r² - 54r - 10 = 0, which can be factored as (r + 2)(r - 3i)(r + 3i) = 0. Since r = -2 is a root of the polynomial, the homogeneous solution contains the term e²ˣ. The other two roots, 3i and -3i, contribute the terms cos(3x) and sin(3x), respectively, to the solution.

This is due to the fact that the real part of a complex root gives a cosine term and the imaginary part gives a sine term. The general solution is a linear combination of these three terms, and the constants are determined by any initial conditions provided.

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The range of the function represented by the graph is

{1, 2, 3, 4}.

Option B is the correct answer.

We have,

The range of a function represents the set of all possible output values or the y-values of the function.

To find the range of the function represented by the given set of points, we need to examine the y-values.

The given set of points is (0, 1), (1, 2), (2, 3), and (3, 4).

By observing the y-values, we can see that the range of this function is {1, 2, 3, 4}.

In other words,

The range of the function represented by the graph is

{1, 2, 3, 4}, which means that the function can output any of these values.

Thus,

The range of the function represented by the graph is

{1, 2, 3, 4}.

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The values of x and y using the concept of similar figures are:

y = 166 and x = 3.33 units

Two triangles are said to be similar if their corresponding side proportions are the same and their corresponding pairs of angles are the same. When two or more figures have the same shape but different sizes, such objects are called similar figures.  

We are told that Polygon ABCD is similar to Polygon EFGH and as such applying the similar figure definition above, we can say that:

∠B = ∠F

Thus:

∠B = 360 - (61 + 116 + 90)

∠B = 360 - 267

∠B = 93°

Thus:

y - 73 = 93

y = 166

Using the concept of similar figures, then:

6/4 = 5/x

x = 20/6

x = 3.33 units

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The chance that each number will occur in a randomly generated list of numbers from 0 to 7, A. 1 / 8.

In a randomly generated list of numbers from 0 to 7, there are 8 possible numbers that can occur (0, 1, 2, 3, 4, 5, 6, and 7). If the list is generated randomly, each of these numbers has an equal chance of occurring.

Therefore, the chance that each number will occur is 1/8, or approximately 0.125. This means that if the list is generated many times, each number should occur approximately 1/8 of the time on average.

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We are given the parametric equations x = cos(2t) and y = cos(t) for a particle's position (x, y) as t varies in the interval 0 ≤ t ≤ 6π.

We need to find the distance traveled by the particle during this time interval and compare it with the length of the curve.

To find the distance traveled by the particle, we need to calculate the arc length of the curve defined by the parametric equations. The arc length formula for a parametric curve is given by:

L = ∫[a,b] sqrt[(dx/dt)^2 + (dy/dt)^2] dt

In our case, we have x = cos(2t) and y = cos(t), so we need to find dx/dt and dy/dt:

dx/dt = -2sin(2t)

dy/dt = -sin(t)

Substituting these derivatives into the arc length formula, we have:

L = ∫[0,6π] sqrt[(-2sin(2t))^2 + (-sin(t))^2] dt

Simplifying the expression inside the square root, we get:

L = ∫[0,6π] sqrt[4sin^2(2t) + sin^2(t)] dt

We can then evaluate this integral using appropriate techniques, such as trigonometric identities and integration rules. After finding the value of L, we can compare it with the distance traveled by the particle to see if they are the same or different.

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Answer:

60

Step-by-step explanation:

8640/60 is 144. 144 is a perfect square. 12*12 is 144

Hey there! I'm happy to help!

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INTRO TO PERFECT CUBES

A perfect cube is any number whose cube root is an integer. In English, that means that if you take any number without a fraction (this is called an integer, such as -7, 8, 100, none have fractions) and multiply it by itself three times, you get a perfect cube.

If you cube the number 4, you get 64, which is (4×4×4). 64 is an example of a perfect cube.

You can use the cube root button on your calculator to see if a number is a perfect cube. If you do the cube root of 64, you get 4, telling you that 64 is a perfect cube. The cube root of 10 is 2.154434...... so 10 is not a perfect square because it does not give you an integer (number that does not have a fraction) as the answer.

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SOLVING THE PROBLEM

So, we want to find the smallest numbers we can divide 8640 to equal a perfect cube.

I will assume that we will not be dividing by fractions but only whole numbers (positive integers).

We could try dividing by 1, but we see that 8640 is not a perfect cube because it's cube root is 20.519711....

Let's just keep counting up! The first divisor we run into that gives a quotient that it is a perfect cube is the smallest whole number possible that will give us that result.

8640÷2=4320

∛4320≈16.2865....... Not a perfect cube

8640÷3=2880

∛2880≈14.22757..... Not a perfect cube

8640÷4=2160

∛2160≈12.92660..... Not a perfect cube

8640÷5=1728

∛1728=12, a perfect cube!

Since 12 cubed is equal to 1728, this means that 1728 is a perfect square, so 5 is the smallest number we can divide 8640 by to get a perfect square.

The answer is 5.

I hope that this helps! Have a wonderful day! :D

Answer: Distributive Property

Step-by-step explanation: