What is the equation of the line in point slope form containing the point (2, -7) and the slope of 4?

Answer:175.368421

Step-by-step explanation:

I'm not sure if this is right but I think you have to divide the 3,332 people by the 19 rows.

Answer:No real solutions

Step-by-step explanation:Let's solve your equation step-by-step.

−3x2−4x−4=0

For this equation: a=-3, b=-4, c=-4

−3x2+−4x+−4=0

Step 1: Use quadratic formula with a=-3, b=-4, c=-4.

x=

−b±√b2−4ac

2a

x=

−(−4)±√(−4)2−4(−3)(−4)

2(−3)

x=

4±√−32

−6

A 4.5 magnitude earthquake is approximately 316.22776 times less powerful than a 6.3 magnitude earthquake.

The Richter scale is a logarithmic scale that measures the magnitude or strength of earthquakes. Each whole number increase on the Richter scale represents a tenfold increase in the amplitude of seismic waves and approximately 31.6 times more energy released. Therefore, to compare the power or strength of two earthquakes on the Richter scale, we can use the formula:

Ratio =\(10^((Magnitude2 - Magnitude1) * 1.5)\)

In this case, we want to compare a 4.5 magnitude earthquake to a 6.3 magnitude earthquake. Plugging the values into the formula, we get:

Ratio = 1\(0^((6.3 - 4.5) * 1.5) ≈ 316.22776\)

This means that the 4.5 magnitude earthquake is approximately 316.22776 times less powerful than the 6.3 magnitude earthquake.

Learn more about whole number here:

https://brainly.com/question/29766862

#SPJ11

To find the missing value of x in a triangle, subtract the sum of the two angles from 180 degrees.

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. Having three edges and three vertices, a triangle is a polygon. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C.

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

Learn more about triangles on:

https://brainly.com/question/17335144

#SPJ1

Answer:

3 1/5+4.5+5 3/10=

16/5+4.5+53/10=

3.2+4.5+5.3=

13

Step-by-step explanation:

the function y = f(x) that satisfies the given conditions is y = 2x^3 - x^2 - 5x + C2, where C2 is a constant that can take any real value.

First, integrate y' with respect to x to find the first derivative y:

∫(y') dx = ∫(12x - 2) dx

y = 6x^2 - 2x + C1

Next, integrate y with respect to x to find the function f(x):

∫y dx = ∫(6x^2 - 2x + C1) dx

f(x) = 2x^3 - x^2 + C1x + C2

To determine the specific values of C1 and C2, we use the given condition that the line y = -x + 5 is tangent to the graph at x = 1.

Since the tangent line has the same slope as the function f(x) at x = 1, we can equate their derivatives:

f'(1) = -1

Taking the derivative of f(x), we have:

f'(x) = 6x^2 - 2x + C1

Substituting x = 1 and equating f'(1) to -1, we can solve for C1:

6(1)^2 - 2(1) + C1 = -1

6 - 2 + C1 = -1

C1 = -5

Now we have the values of C1 and C2. Plugging them back into the equation for f(x), we obtain the final function:

f(x) = 2x^3 - x^2 - 5x + C2

To learn more about tangent line : brainly.com/question/23416900

#SPJ11

Answer:

y = x + 8

Step-by-step explanation:

find slope, solve for y-intercept, plug into y = mx + b

Answer:

57

Step-by-step explanation:

I don't know that Ise ay but I think it's 57 haha if it's not after i'm sorry

Answer: D. the y-intercept is (0,1)

Step-by-step explanation:

For all exponential functions without a vertical shift, the y-intercept is (0,1).

The income plainness of demand for eatery reflections is Income plainness = 200/ 20 = 10

Chance is a way of expressing a volume as a bit of 100. It's frequently denoted using the percent symbol(), which represents" per hundred". For illustration, 25 is original to25/100 or0.25 as a numeric.

By question-

The income plainness of demand measures the responsiveness of the volume demanded of a good or service to a change in income, all other effects being equal .However, it means that the good is a normal good, and the volume demanded increases as income increases, If the income plainness is positive. However, it means that the good is an inferior good, and the volume demanded diminishments as income increases, If the income plainness is negative.

In this case, John's pay increased by 20 percent, and the average number of eatery reflections he consumed increased from one a week to three a week. We can calculate the income plainness of demand for eatery reflections as follows

Income plainness = chance change in volume demanded/ chance change in income

The chance change in volume demanded is

( 3 reflections per week- 1 mess per week)/ 1 mess per week) x 100 = 200

The chance change in income is 20

thus, the income plainness of demand for eatery reflections is

Income plainness = 200/ 20 = 10

Since the income plainness is positive and lesser than 1, we can conclude that eatery reflections are a luxury good for John. Option( b) is the correct answer.

To learn more about demand:

https://brainly.com/question/29703449

#SPJ1

Step-by-step explanation:

To find the volume of this solid, we will use the method of cylindrical shells. We will integrate the cross-sectional area of the equilateral triangles over the height of the solid.

The height of the solid is given by the difference between the upper and lower bounds of the base, which are y = 4 and y = x^2, respectively. The cross-sectional area of an equilateral triangle with sides of length 2x is given by (x^2 * √3)/4.

So, the volume of the solid is given by the integral:

V = ∫[x^2, 4] (x^2 * √3)/4 dx

Using the antiderivative of x^2 * √3 / 4, which is (2x^3 * √3)/(12), we can find the definite integral:

V = [2x^3 * √3]/12 from x^2 to 4

Evaluating the definite integral and simplifying, we get:

V = 16 units^3

So, the volume of the solid is 16 units^3.

Answer:

the volume of the solid is 16 units^3

Step-by-step explanation:

Answer:

OPTION B

Step-by-step explanation:

A PERSON HEIGHT IS NOT ZERO WHEN BORN

Answer:

9 1/2

Step-by-step explanation:

Add 2 1/2 plus 3 1/2 plus 3 1/2 to get 9 1/2.

A quantitative variable x is a random variable if the value that x takes on in a given experiment or observation is a chance or random outcome.

A random variable is a mathematical concept used in probability theory and statistics to describe uncertain quantities or outcomes. It is denoted by a capital letter, such as X.

In the context of a quantitative variable, a random variable represents the numerical outcome or value that the variable can take on as a result of a chance or random process. For example, if we are interested in the number of successes in a series of coin flips, we can define a random variable X to represent the number of heads obtained.

There are different types of random variables, and in the case of a quantitative variable, it can be categorized as either discrete or continuous.

Discrete Random Variable: A discrete random variable can only take on a countable set of distinct values. For example, the number of heads obtained in a series of coin flips is a discrete random variable because it can only be 0, 1, 2, and so on. The probability distribution that describes the likelihood of each possible value is called a probability mass function.

Continuous Random Variable: A continuous random variable can take on any value within a specified range or interval. For example, the height of individuals in a population is a continuous random variable because it can take on any value within a certain range. The probability distribution that describes the likelihood of different intervals or ranges of values is called a probability density function.

To learn more about random variable

https://brainly.com/question/17481850

#SPJ11

Answer:

answer is

D. 45. hhhisukwk

Step-by-step explanation: 2/9 x 2 = 4/18, so 4 out of 18 mixed nuts were almonds.

Answer:

4

Step-by-step explanation:

4

Answer:

Speed

Step-by-step explanation:

Speed is given . Divide Speed by time . You will get your answer

Answer:

1) x = 6

2) x = 14

3) x = 4

4) x = 7

Step-by-step explanation:

1) x+5=11

x = 11-5

x =6

2) x-6=8

x = 8+6

x = 14

3) 3+x=7

x = 7-3

x = 4

4) 12=x+5

12-5 = x

7 = x

=========================================================

Explanation:

The angle adjacent to the 146 degree angle is 180-146 = 34 degrees.

In other words, the angles 34 and 146 combine to 180. These angles are supplementary.

The tickmarks on this triangle tell us it is isosceles. The angles opposite the congruent sides are congruent angles. So the unmarked interior angles (not marked x) are 34 degrees each.

Now use the fact that any triangle has its interior angles always add to 180

x+34+34 = 180

x+68 = 180

x = 180-68

x = 112

Answer:

h = 12

Step-by-step explanation:

h = 12 units

Answer:

b

Step-by-step explanation:

Answer:

D, C, A

Step-by-step explanation:

since it shows jane worked for 2 hours and she got 16 dollars she got 8 dollars for the last hour and an additional 8 dollars for the second hour. A

The total money for 5 hours of babysitting is 40 dollars because if you go to five and look at the point it is at 40. C

Point A does show the amount of money earned because it's not just directly on 2 it's above it at 16 dollars which means A means the amount of money earned. D

sorry I'm not the best at explaining :,) but I hope this helped

Answer:

2.83 seconds

Step-by-step explanation:

In the given equation, h represents the height (in feet) of the rock above the river at time t seconds after it is dropped, and the equation is h = -16t^2 + 128.

When the rock reaches the river, its height above the river will be zero. So, we can set h = 0 in the equation and solve for t:

0 = -16t^2 + 128

Dividing both sides by -16, we get:

t^2 = 128/16

t^2 = 8

Taking the square root of both sides, we get:

t = ±√8

Since time cannot be negative, we take the positive square root:

t = √8 ≈ 2.83 seconds

Therefore, it will take the rock approximately 2.83 seconds to reach the river.

Answer:

10x+12 is the answer in my calculation.

Answer:

A

Step-by-step explanation:

0 - 1400 = -1400 + 1400 = 0

Answer:

Step-by-step explanation:

You can use the definition of a directly variating function to deduce which table represents such function.

The fourth table represents direct variation with coefficient of variation as 2.5

A function y = f(x) is said to be directly variating if we can write the function as: y = kx for some constant value k.

For x = -3, y = -4.5, thus k = y/x = -4.5/-3 = -1.5

Lets check if this k is preserved for next pairs of values.

For x = -1, we will have y = 1.5 times -1 = -1.5 but y = -3 thus this table doesn't represent direct variation.

For  x = -5.5, y = 10, thus k = y/x = 10/-5.5 = -1.818..

Now for x = -4.5, y should be kx = -4.5 times -1.818.. = 8.18.. but given y is 8. Thus this table doesn't represent direct variation.

For x = -5.5, there are many values of y. But since k is assumed constant and x = -5.5 is also a constant thus y should be a unique constant and is not supposed to have multiple values as shown in table, thus it doesn't represent direct variation.

Actually, this isn't a function either since for one input, a function always outputs only one output.

For x -3, y = -7.5, thus k = y/x = -7.5/-3 = 2.5

Now for rest of the values of x, we expect these values:

\(x = -1, y = kx = 2.5 \times -1 = -2.5\\\\ x = 2, y = kx = 2.5 \times 2 = 5.0\\\\ x = 5, y= kx = 2.5 \times 5 = 1.25\\\\ x = 10, y= kx = 2.5 \times 10 = 25.0\)

Since given y values are same as we obtained, thus, this table represents direct variation with factor 2.5

Thus, fourth table represents direct variation with coefficient of variation as 2.5

Learn more about direct variation function here:

https://brainly.com/question/14028990

Answer:

mean: 3.5

standard deviation: 3

median: 3.5

IQR: 3

Step-by-step explanation:

I mean all you gotta do is look at the table that is shown and since the graph is symmetrical the median and mean would be at the center and the standard deviation is basically how far away most of the data points is going to be from the center and the IQR is easy you get the Q1 and Q3 then subtract then and you get 3. So ya.

The expected number of minutes until the frogs stop jumping is 4, regardless of their initial positions.

Let's consider the probability that all three frogs are at different vertices at a given time. The first frog can land on any of the 12 vertices, the second frog can land on either of the two adjacent vertices to the first frog, and the third frog can land on either of the two adjacent vertices to the second frog that are not adjacent to the first frog. Therefore, the probability that all three frogs are at different vertices is:

\(P(all $ different) = 12 * 2/11 * 2/10 = 24/55\)

If all three frogs are at different vertices, then none of them can jump to the other two vertices adjacent to their current position, otherwise they will meet. Therefore, the next time they can meet is after the first jump of the frog that is alone, and this will happen with probability 1/3.

If two frogs meet, the expected number of minutes until the third frog joins them is just the expected number of minutes until two frogs meet, which is the same as the expected number of minutes until the frogs stop jumping. Therefore, it suffices to compute the expected number of minutes until the frogs jump to the same vertex for the first time, given that all three frogs are at different vertices.

Let T be the expected number of minutes until the frogs jump to the same vertex for the first time. Conditioning on the first jump, we have:

\(T = 1/3 * 1 + 2/3 * (T + 1)\)

The first term corresponds to the case where the frog that is alone jumps to one of the two vertices adjacent to one of the other frogs and they meet. The second term corresponds to the case where the frog that is alone jumps to the vertex adjacent to the other frog and the third frog jumps to the same vertex with probability 1/2, or they jump to different vertices with probability 1/2 and we are back to the starting position, but with one less frog being alone.

Solving for T, we get:

T = 4

Therefore, the expected number of minutes until the frogs stop jumping is 4, regardless of their initial positions.

Learn more about "Probability" :

https://brainly.com/question/23417919

#SPJ11