Solve step by step 249×625

There are no critical points, as p(x) is not 0 in (-1, 1). The correct answer is D.

To identify the critical point(s) in the interval (-1, 1) for the polynomial p(x) = x^4 + x^3 - 7x^2 - x + 6, we need to find the points where the derivative of p(x) is equal to zero or undefined.

First, let's find the derivative of p(x) using the power rule:

p'(x) = 4x^3 + 3x^2 - 14x - 1

Now, we can set p'(x) equal to zero and solve for x:

4x^3 + 3x^2 - 14x - 1 = 0

Unfortunately, finding the exact solutions for this cubic equation can be quite challenging. However, we can use numerical methods or a graphing calculator to estimate the values.

Using a graphing calculator or plotting the graph of p'(x), we can observe that there is a critical point within the interval (-1, 1). Let's evaluate the answer choices to determine which one corresponds to this critical point:

A) 0

B) -0.72, 0.75

C) -0.07046

D) There are no critical points, as p(x) is not 0 in (-1, 1)

E) 0, 0.25, 0.57

From the given options, we can eliminate options A, D, and E since they either do not fall within the interval (-1, 1) or do not correspond to critical points.

Now, let's evaluate option B (-0.72, 0.75) and option C (-0.07046):

Substituting x = -0.72 into p'(x), we get p'(-0.72) ≈ 18.43

Substituting x = 0.75 into p'(x), we get p'(0.75) ≈ -14.61

Since p'(-0.72) > 0 and p'(0.75) < 0, neither of these values corresponds to a critical point in the interval (-1, 1).

Therefore, the correct answer is D) There are no critical points, as p(x) is not 0 in (-1, 1).

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Answer:

It would be the second question,

Step-by-step explanation:

y 7/8 x + 3/2

The y-intercept for the regression equation is 3, given that b = 4, Mx = 12, and My = 51. So, the correct option is C).

The formula for the y-intercept of the regression equation is

a = My - b(Mx)

where My is the mean of the dependent variable (y), b is the slope, and Mx is the mean of the independent variable (x).

Given that b = 4, Mx = 12, and My = 51, we can substitute these values in the formula to find the y-intercept

a = 51 - 4(12)

a = 51 - 48

a = 3

Therefore, the y-intercept (a) for the regression equation is 3.

The correct Answer is C) 3.

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--The given question is incomplete, the complete question is given

" A set of X and Y scores has b = 4, Mx = 12, and My = 51. What is the y-intercept (a) for the regression equation? O 9.75 17.36 3.00 8.25 "--

PV = 8 VT = 4√3

Step-by-step explanation:

Given

PT = 4

With reference angle 30°

perpendicular (p) = 4

hypotenuse (h) = ?

sin 30° = p/h

1/ 2 = 4 / h

cross multiply

h = 8

with reference angle 60°

perpendicular (p) = ?

hypotenuse (h) = 8

sin 60° = p/h

√3 / 2 = p / 8

Cross multiply

2p = √3 * 8

p = 4 √3

To find the five-number summary of the given data, we have to arrange the data in order:5, 11, 12, 17, 17, 21, 22, 28, 32, 35, 38, 42

Minimum value = 5

Q1 = 16 (Average of 5 and 12),(Q2) = 21 (Average of 17 and 22),Q3 = 35 (Average of 32 and 38)

Maximum value = 42

The five-point summary of the thefts per 1000 individuals for Worcester county during the evening hours from 6 pm to 2 am is as follows:

Minimum value = 8

Q1 = 10,Q2 = 12,Q3 = 17

Maximum value = 41

The box plot of the evening hours data is as follows:

Comparing the box plots of the two data sets, we can see that the evening hours data is skewed towards the right, which implies that the data is more spread out towards the higher values. While the daytime data is somewhat normally distributed with no outliers.

The median of the daytime data is 21, and the median of the evening hours data is 12. The maximum value of the daytime data is 42, and the maximum value of the evening hours data is 41.

Hence, we can conclude that the number of thefts is more in the day time than the evening hours in Worcester County.

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Answer:

in Desmos there should be a plus sign right above the list of your equations on the left side. Click that plus sign and then click "table". then enter your numbers. then your points will be shown on the graph

to turn this into a line long press on the button next "y" on the table you have made, then select "lines"

Answer:

you go to desmos and you go to the left side of the website. choose which graph you want to do. if you want to use a regression line graph, or anything else. lmk if you need help

Step-by-step explanation:

The right answer to your question is b: 10-2=8 which is a counting number

The value of x in the triangle is 90 degrees.

The exterior angle of a triangle is equal to the sum of the two opposite interior angles (remote interior angles).

This is also known as the Exterior Angle theorem.

The triangle is an isosceles triangle. Therefore, the base angles are equal.

Hence,

180 - 135 = 45°(sum of angles on a straight line)

Therefore, using external triangle theorem,

45 + x = 135

subtract 45 from both sides of the equation

45 - 45 + x = 135 - 45

x  = 90 degrees.

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There are approximately 2.97 billion droplets per acre being sprayed.

To calculate the number of droplets per acre, we need to first convert the diameter of the droplets from microns to inches (since we are using acres as our unit of area). There are 25,400 microns in one inch, so the diameter of the droplets in inches is 250/25,400 = 0.0098 inches.

Next, we need to calculate the area of one droplet. The formula for the area of a circle is A = πr², so the area of one droplet is A = π(0.0049)² = 0.0000754 square inches.

Finally, we can calculate the number of droplets per acre by dividing the total area of one acre (43,560 square feet) by the area of one droplet: 43,560 / 0.0000754 = 2.97 billion droplets per acre.

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Answer:

This is a rectangle

Step-by-step explanation:

Ac = 24

BD= 24

Answer:  x = 200    

Step-by-step explanation:

x-30% of x=140

x = 200    

x-(30/100)*x=140   [Add the parentheses]

x-30x/100=140

100x-30x/100= 140

70x/100= 140

70x=140*100

70x=14000

x=14000/70

x=200                 [Correct]

Step-by-step explanation:

Probably a cylinder would work best

volume of a cylinder = pi r^2 h

The given differential equation is dt = (ty)2, which is a separable equation. We can separate the variables t and y on opposite sides of the equation and integrate both sides to obtain the general solution.

Starting with dt = (ty)2, we can rearrange it to (1/t2) dt = y2 dt. Now we integrate both sides, yielding ∫ (1/t2) dt = ∫ y2 dt. The left-hand side integrates to -1/t + C1, where C1 is the constant of integration. The right-hand side integrates to (1/3)y3 + C2, where C2 is another constant of integration.

Therefore, our general solution is -1/t + C1 = (1/3)y3 + C2. To solve for y explicitly, we can isolate y on one side of the equation by multiplying both sides by 3 and then taking the cube root: y = [(3(-1/t + C1) - C2) / 3]1/3. This gives us a family of solutions that satisfy the given differential equation.

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Answer:

14.765 units

Step-by-step explanation:

distance formula

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(4 + 3)² + (8 + 5)²]

d = √(7²) + (13²)

d = √(49 + 169)

d = √218

d = 14.765

Answer:

4x²-12x+9

Step-by-step explanation:

(2x-3)(2x-3)

2x(2x-3)

=4x²-6x

-3(2x-3)

=-6x+9

Then join the two

4x²-6x-6x+9

Then add the like terms

4x²-12x+9

We will choose a 3x3 matrix A that satisfies the given conditions. Then, we will plug the matrix A into the characteristic polynomial and evaluate the resulting matrix.

Let's choose the matrix A as follows:

A = [1 0 2;

3 4 0;

0 5 6]

To calculate the characteristic polynomial P of matrix A, we need to find the determinant of the matrix (A - λI), where λ is the variable and I is the identity matrix of the same size as A. Using the formula for a 3x3 matrix, we have:

(A - λI) = [1-λ 0 2;

3 4-λ 0;

0 5 6-λ]

Calculating the determinant of (A - λI), we get:

det(A - λI) = (1-λ)((4-λ)(6-λ) - 0) - 0 - (3(6-λ)) + (0 - (3(4-λ))(5)) = -λ³ + 11λ² - 34λ + 30

Therefore, the characteristic polynomial P is given by P(λ) = -λ³ + 11λ² - 34λ + 30.

To evaluate A³ - 2A + 1, we substitute the matrix A into the characteristic polynomial:

A³ - 2A + 1 = (-A³ + 11A² - 34A + 30) - 2A + 1 = -A³ + 11A² - 36A + 31

Using matrix multiplication and scalar multiplication, we can calculate the resulting matrix.

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Answer:i tink its D) - 4/3

Step-by-step explanation:

im bad at mat, so im sorry if im wron

Answer:a

Step-by-step explanation:

a

Answer:   -25x + 15

Step-by-step explanation:

Because you asked

Answer:

To simplify the expression, we can use the rules of order of operations, which dictate that we should perform operations in the following order:

Perform any calculations inside parentheses or other grouping symbols, working from the innermost set of parentheses to the outermost.

Perform any exponents or radicals.

Perform all multiplications and divisions, working from left to right.

Perform all additions and subtractions, working from left to right.

Applying these rules to the expression -5(-3 + 5x), we get:

Perform any calculations inside parentheses or other grouping symbols, working from the innermost set of parentheses to the outermost:

$-5(-3 + 5x)$

$-5(-3) + -5(5x)$

$15 + -5(5x)$

Perform any exponents or radicals:

$15 + -5(5x)$

Perform all multiplications and divisions, working from left to right:

$15 + -5(5x)$

$15 + -25x$

Perform all additions and subtractions, working from left to right:

$15 + -25x$

Therefore, the simplified expression is 15 + -25x.

Step-by-step explanation:

45 Distinct handshakes took place when every player shook hands with everyone who played.

To find out how many distinct handshakes took place if every player shook hands with everyone who played, we will

use the concept of combinations.

Identify the number of players involved, which is 10 (you plus 9 friends).

Use the formula for combinations: C(n, k) = n! / [k! × (n-k)!],

where n is the total number of players and k is the number of players in each handshake (which is 2).

Plug in the values: C(10, 2) = 10! / [2! × (10-2)!].

Calculate the factorial values: 10! = 3,628,800, 2! = 2, and 8! = 40,320.

Plug in the factorial values and calculate: C(10, 2) = 3,628,800 / (2 × 40,320) = 3,628,800 / 80,640 = 45.

So, 45 distinct handshakes took place when every player shook hands with everyone who played.

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Step-by-step explanation:

5(2–m)-3(4 – 2m) = 20

10-5m-12+6m=20

m=22

hope it helps

answer

m =22

solution

5(2-m)-3(4-2m)=20

10-5m-12 +6m=20

-2+m =20

m= 20+2

m =22

Answer:

Step-by-step explanation:

To graph the monthly cost of the two cell phone plans, you can create a coordinate plane with the x-axis representing the number of gigabytes of data and the y-axis representing the cost in dollars.

First, you can plot the point for the "Talk-it-up" plan. Since this plan has a fixed monthly cost of $95, you can plot this point at the y-intercept, which is the point where the line intersects the y-axis. This point would be (0,95).

Next, you can plot the points for the "Talk-is-cheap" plan. This plan has a fixed monthly cost of $35 for unlimited text and talk, and an additional cost of $10 per gigabyte of data. To plot these points, you can start at the y-intercept (0,35) and then add $10 to the y-coordinate for each additional gigabyte of data. For example, if the plan includes 1 gigabyte of data, the point would be (1,45). If the plan includes 2 gigabytes of data, the point would be (2,55), and so on.

You can continue plotting points for the "Talk-is-cheap" plan until you have a complete line. Then, you can compare the two lines to see how the cost of each plan changes as the amount of data increases.

Money Jessica gets for her birthday = $10

Money she will get from her aunt Karin for her next birthday :-

= 20% more than the money she usually gets

= 20% more than 10

\( = 20 \times \frac{1}{10} + 10\)

\( = \frac{20}{10} + 10\)

\( = \frac{2}{1} + \frac{10}{1} \)

\( = 2 + 10\)

\( = $12\)

Therefore , Jessica will get $12 for her next birthday year .

Answer:

129 and two fourths

Step-by-step explanation:

4)518(129  

   4

    11      

    8

    38

     36

        2 < ----remainder

         ..

Answer:

To determine the number of miles Coroline runs per minute, we need to first convert the distance she runs to a fraction of a mile and the time it takes her to run that distance to a fraction of an hour.

3 1/2 miles is equivalent to 3 + 1/2 = 3 + 1/(2*1) = 7/2 miles.

22 1/4 minutes is equivalent to 22 + 1/4 = 22 + 1/(4*1) = 23/4 minutes.

To convert the time to hours, we can divide the number of minutes by the number of minutes per hour. There are 60 minutes per hour, so we have:

23/4 minutes / (60 minutes/hour) = (23/4) / (60/4) = 23/60 hours

To determine the number of miles Coroline runs per minute, we can divide the distance she runs by the time it takes her to run that distance:

(7/2 miles) / (23/60 hours) = (7/2) / (23/60) = (760) / (223) = 420/46

Simplifying, we have:

420/46 = 9 1/23

Therefore, Coroline runs approximately 9 1/23 miles per minute.

Step-by-step explanation:

Answer:

she runs 0.078 miles  per minute.

Step-by-step explanation:

Without the specific plan, side elevation, and front elevation provided, I cannot determine the shape of the solid made from centimeter cubes. Please provide the necessary information or a detailed description of the elevations and plan so that I can assist you further in identifying the shape.

The plan, side elevation, and front elevation are crucial for visualizing and understanding the three-dimensional shape. Each elevation provides information about the shape's dimensions, orientation, and the arrangement of the centimeter cubes. By analyzing these elevations collectively, we can determine the overall shape, such as a cube, rectangular prism, pyramid, or any other three-dimensional object. Once the specific elevations are provided, I can guide you through the process of identifying the shape accurately.

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A value at the center or middle of a data set is a measure of center. It  is a statistical value that represents the central or average value of a dataset.

In statistics, a measure of center refers to a value that represents the central tendency or average of a data set. It provides a single value that summarizes the central or typical value of the data. The measure of center is used to understand the central position or location of the data points.

Common measures of center include the mean, median, and mode. The mean is calculated by summing all the values in the data set and dividing by the total number of values. The median is the middle value of a sorted data set, or the average of the two middle values if there is an even number of values. The mode represents the value that occurs most frequently in the data set.

These measures of center help in understanding the central tendency of the data and provide a representative value around which the data points are distributed. They are useful for summarizing and analyzing data sets, allowing for comparisons and making inferences about the data.

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Probability that the second card is an ace, given that the first card is an ace is 1/ 221

Without replacement means drawing the card first but not putting back to the deck and then drawing again.

Total number of cards in a deck = 52

Number of an ace in whole deck = 4

let event of getting an ace in first draw be A

and event of getting an ace in second draw be B

P(A) = 4 / 52 = 1 /13

drawing without replacement

P(B) = 3 / 51 = 1 / 17

Probability that second card is an ace given that first card is an ace is

P(A).P(B) =

1/13 × 1/ 17 = 1 / 221

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