BÀI TẬP CHƯƠNG 1_T...2021 (1).pdf

Answer:

m⁴n³n

Explanation:

Given the expression:

We can write the negative exponent as a fraction:

The simplified expression is m⁴n³.

EXPLANATION:

Given;

We are given a cubic function as shown in the attached image.

Required;

We are required to determine the average rate of change of the function on the interval,

Step-by-step solution;

To solve this question using the line segment from the point where the value of the input is -7 up to -3, we would have the following;

Observe that the change in y is from 0 to -8 that is -8, while the change in x is from -7 to -3, that is 4.

In other words, what we have is;

The average rate of change is given by the formula;

ANSWER:

The average rate of change on the given interval therefore is -2.

The solution for x in the given equation (x-c)/2 = d is x = 2d + c.

What is the solution for x in the given equation?

Given the equation in the question;

(x-c)/2 = d

x = ?

To solve for x, cross multiply and simplify.

(x-c)/2 = d

x - c = d × 2

x - c = 2d

Add +c to both sides

x - c + c = 2d + c

x = 2d + c

Therefore, the solution for x in the given equation (x-c)/2 = d is x = 2d + c.

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In order to find the polynomials that have these roots, we can use the factored form of a polynomial with 4 roots:

So the polynomials that have the roots -1, -2, 3 and 7 are:

Since a can be any real value, so there is an infinite number of polynomials with these roots.

If the polynomial has 4 roots, it is a 4th-degree polynomial.

Since (x-7) is a factor of P(x), we can write P(x) = (x-7)Q(x).

The degree of Q(x) is 3, since one of the roots was "removed" from P(x).

Since (x+8) is not a factor of P(x), we can't write P(x) = (x+8)Q(x).

look at the screen shot ya know

The equation of a hyperbola that models the sides of the drum assuming that the center of the hyperbola is (35 + a)²/a² - 8²/b² = 1 and (22+ a)²/a² - 4²/b² = 1

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the total height of the drum is 35 inches.

The diameter at the top of the drum = is 16 inches, and

The minimum diameter is 8 inches, occurring at a height of 22 inches.

The equation of the hyperbola be denoted as;

x²/a² - y²/b² = 1

From the question, with x and y coordinates representing height and radius respectively,

Then,

When  x = 35 + a, y is = 16/2 = 8 and

At x = 22+ a, y  is = 8/2 = 4

Thus,

(35 + a)²/a² - 8²/b² = 1

(22+ a)²/a² - 4²/b² = 1

By solving, we have, a = 128.95 and b = 14.75

Therefore a= 128.95 and b = 14.75

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We have got 10 invitations, 4 are i blue paper, so 6 are not in blue paper.

To find the probability, we will calculate how many combinations are there and how many combination in which exactly 2 out of 5 of the invitations are blue.

The total combinations of the 5 are just 10! over 5!:

The combinations of ecatly 2 blue starts with 4*3/2!, becase initially we have 4 to choose from but the second we have one less. Now we multiply by the same for the non blue, so 6*5*4/3!, and we get:

The probability is the combinations of the event we want, B, divided by the total combinations, T:

So, the probability that exactly 2 of the choosen invitations are printed in blue is 0.0040.

Answer:

-1/2 > x

Step-by-step explanation:

−2x − 4 > 8 x −6 x −2

Combine like terms

-2x -4 > 2x -2

Add 2x to each side

−2x+2x − 4 > 2x+2x −2

-4 > 4x-2

Add 2 to each side

-4 +2 > 4x -2 +2

-2 >4x

Divide each side by 4

-2/4 > 4x/4

-1/2 > x

Answer:

-3

Step-by-step explanation:

sense its between -2 and -4

*question

Answer:

\(\mathrm{\frac{n(n-1)}{2}}\)

Step-by-step explanation:

\(\mathrm{The\ formula\ for\ the\ number\ of\ handshakes\ possible\ among\ n\ participants\ is:}\\ \mathrm{ \frac{n(n-1)}{2}}\\\mathrm{It's\ because\ each\ of\ the\ n\ participants\ may\ shake\ hands\ with\ n-1\ people}\mathrm{(they}\\\mathrm{cannot\ shake\ their\ own\ hands)\ and\ the\ handshake\ between\ two\ people\ is\ not}\\ \mathrm{counted\ twice.}\)

Answer:

1. 3 and 1/5 improper: 11/15

2. 3 and 3/4 improper: 15/16

3. 1 and 2/3 improper: 5/6

4. 2 and 1/2 improper: 5/6

5. 3 and 2/10 improper: 32/40

6. 3 and 3/9 improper: 30/36

7. 1 and 2/6 improper: 8/12

Answer:

what do u need help with

Step-by-step explanation:

??

9514 1404 393

Answer:

  7.24 miles

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  time = distance/speed

For distance d in miles, her time in hours walking to school is d/6. Her time traveling home is d/35. The difference of these is 1 hour:

  d/6 -d/35 = 1

  d(1/6 -1/35) = 1

  d(35 -6)/(35·6) = 1

  d = 35·6/29 ≈ 7 7/29 ≈ 7.2414 . . . . miles

The school is about 7.24 miles from Diana's home.

_____

Additional comment

Diana is quite the athlete. World-class race-walking speeds are on the order of 8 miles per hour. Casual walking speeds are on the order of 3 miles per hour.

Answer:

0.7

Step-by-step explanation:

49 out of 63 so it is 49/63 which is 0.7777 inf

Answer:

9 and 11

Step-by-step explanation:

thats all you need to know

The total surface area of the figure will be 1968.85 square meters.

To determine  the surface area of the figure, we need to find the area of each face and then add them together.

Surface Area of the rectangular prism = 2(lb + bh + hl)

= 2(16 × 9.5) + 2(9.5 × 14) + 2(16 × 14)

= 2(152 + 133 + 224) = 2(509)

= 1018 m²

Next, we need to find the area of the triangular prism on the front with dimensions 11 m, 12.7 m, and 14 m:

Surface Area of the triangular prism;

= (11 × 14) + 2(0.5 × 11 × 12.7) + 2(0.5 × 12.7 × 14)

= (154 + 350.35 + 445.5)

= 950.85 m²

Therefore, the total surface area of the figure will be;

Total Surface Area = Surface Area of rectangular prism + Surface Area of triangular prism

= 1018 m² + 950.85 m²

= 1968.85 m²

So, the surface area of the figure is 1968.85 square meters.

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Answer:

x=15

Step-by-step explanation:

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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Answer:

All real numbers

Step-by-step explanation:

The domain of the function is the set of real values that can be substituted into a function to produce a valid output. Any real number can be substituted into the function (y = x), and produce a valid output. Thus, the domain is all real numbers.

Answer:

B).

Step-by-step explanation:

Add 8 to half the difference of 6 and 2 then subtract 1.

Answer:

I apologize but I haven't worked for an answer. but my mind is, what is the point of this question? everyone is familiar with the "when am I ever going to use this in life and why do I need to learn this?" but this is a whole new level of w t f.

Answer:

c

Step-by-step explanation:

ESPERO TE A YDUE :)

The gardner is correct Because the total distance traveled by the roller is greater than the length of the bowling green.

A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

For the gardener to be correct,

8×Perimeter of the roller = Length of the bowling green

Therefore,

Let use first find the perimeter of the roller

Where:

Substitute these values into equation 1

For 8 full rotation,

Comparing the distance for 8 revolution of the roller with the length of the bowling green,

Therefore, the gardner is correct

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Answer: 10 ounces for $2.40

Step-by-step explanation: The trick behind these problems, always divide. 2.40/10ounces is $0.24. 2.08/8ounces is $0.26. Better deal, therefore smaller answer of the 2, because it's cheaper.

Answer:

C.  5x(-x + 2)

Step-by-step explanation:

To factor the expression -5x² + 10x, we need to look for a common factor that can be factored out.

Finding a common factor involves identifying a term or expression that can be factored out from each term of a given expression.

Both terms have the common factor of 5x, so we can factor out 5x:

5x(-x + 2)

Therefore, the factored form of -5x² + 10x is -5x(x - 2).

\(\hrulefill\)

Additional notes:

If we expand the expressions in the given answer options, we get:

  A.  −5x(x + 2) = -5x² - 10x

  B.  5(−x² + 10x) = -5x² + 50x

  C.  5x(−x + 2) = -5x² + 10x

  D.  x(5x + 10) = 5x² + 10x

Hence confirming that the correct answer is option C.

To factor \(-5x^2+10x\), we can begin by factoring out the greatest common factor, which is \(-5x\):

We can check our answer by distributing \(-5x\) to the expression inside the parentheses:

\(\therefore\) The answer is \(-5x(x-2)\).

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Pie graphs can be used to display percentages of an entire group and depict percentages at a certain moment. Customers contacted via the web = x(let) then.as a result, customers contacted online (chart = x = 100), 25 customers were reached by social media, or x/4

Pie charts can be used to show percentages for the whole group or for a specific time period.

In contrast to bar and line graphs, pie charts do not show changes over time.

The following pages provide descriptions of the various pie chart elements.

Since the slices of a pie chart represent different parts of the whole, their sum must always equal 100%.

Number of customers overall = 250 clients were contacted via email for every 500 customers contacted via phone, or 50% of phone contacts.

=(50÷100)×250

=125

Customers reached via social media

= total customers + 250 + 125 + x+1 = 500 x+1

=125 × 5

T=125

x=100.

Customers contacted via the web = x(let) then.

as a result, customers contacted online (chart = x = 100)

25 customers were reached by social media, or x/4

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A. The distributions of the periods is that using the five number summary is that

B. The box and whisker plot of the periods is attached

From the question, we have the following parameters that can be used in our computation:

7th Period

66, 72, 77, 78, 78, 80, 82, 84, 84, 87, 88, 88, 89, 89, 90 92, 92, 93, 94, 94 96, 96

3rd Period

52, 60, 62, 64, 64, 65, 68, 71, 72, 74, 75, 76, 78, 79, 83, 84, 85, 88, 89, 93, 94, 97

The distributions of the periods will be compared using the five-number summaries

Using a graphing tool, the five-number summaries are:

7th Period

3rd Period

The box and whisker plot of the periods is added as an attachment

From the box and whisker plot attached, we can see the five-number summaries of the periods

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"The correct answer is option A." The missing coordinates of point Q are (a, c/2).We are given the coordinates of points P and N as (0, c) and (2a, 0), respectively. We are also given that point Q lies on the same line as points P, Q, and N. We need to find the missing coordinates of point Q.

Since point Q lies on the same line as P, Q, and N, its x-coordinate must be halfway between the x-coordinates of points P and N. That is, the x-coordinate of Q is:

x-coordinate of Q = (x-coordinate of P + x-coordinate of N) / 2

x-coordinate of Q = (0 + 2a) / 2 = a

So, we know that the x-coordinate of point Q is a.

To find the y-coordinate of point Q, we can use the fact that point Q lies on the same line as point P, which has coordinates (0, c). The equation of the line passing through P and N is:

y - c = (0 - c) / (2a - 0) * (x - 0)

Simplifying this equation gives:

y - c = -c/2a * xy = -c/2a * x + c

Substituting x = a in this equation gives:

y = -c/2a * a + cy = -c/2 + cy = c/2

So, we know that the y-coordinate of point Q is c/2.

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Answer:

the inside angle beside 101 is 180-101 = 79 degrees.

the angle beside x = 180-(79+38).

that is 63 degrees.

therefore the angle x = 180-63 that's

117 degrees

3900000×18% = 702000

702000÷2500 = 280.8 per share dividend

450×280.8 = 126360