In a survey 36% of the students said that they kept an electronic diary. There were 900 students who kept an electronic diary. How many students were in the survey, please explain. :)) <33

The product of the rational expressions given is; (7x²-7x)/(x²-4)

The given rational expressions are;

Hence, the product of the two Rational Expressions can be evaluated as follows;

The product of the rational expressions given is therefore; (7x²-7x)/(x²-4)

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the minimum number of degrees that may be rotated to satisfy rotational symmetry in this figure is 60°.

What is rotational symmetry?

Rotational symmetry is a type of symmetry where a shape or object can be rotated by a certain angle and still appear exactly the same as it did before the rotation. The smallest angle of rotation for which the shape or object appears the same is called the angle of rotational symmetry or the order of the rotational symmetry.

In light of the posed query

There is rotational symmetry in the image.

This picture can be seen as a circle. A whole circle has 360 degrees.

Six wings cover the figure.

360/6

=60°

Hence, the minimum number of degrees that may be rotated to satisfy rotational symmetry in this figure is 60°.

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Answer: y = -1/3x + 3.7

Step-by-step explanation:

To find the equation of the line perpendicular to y = 3x - 6, you first need to find the slope. The slope of a line perpendicular to another will always be the opposite value and reciprocal of the other line.

In this case, the slope 3, or 3/1 has a perpendicular slope of -1/3

Now, we need to find the y-intercept. To do that, we will use the equation y = mx + b, the slope -1/3, and our given point (2,3). Y is our y-coordinate, m is the slope, x is our x-coordinate, and b is the y-intercept.

First, we plug in the values:

3 = -1/3(2) + b

Simplfy.

3 = -2/3 + b

Add 2/3 to both sides.

3 + 2/3 = -2/3 + 2/3 + b

Combine like terms.

3 2/3 = b

Simplify.

3 2/3 = 11/3 = 3.7 (3.66666666... rounded to the nearest tenth)

b = 3.7

Now, we put everything together!

The equation to the line perpendicular to y = 3x - 6 that runs through the point (2,3) is y = -1/3x + 3.7

The decimal equivalent of the largest Absolute value, 987654321, is 987,654,321.  the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.

The largest and smallest absolute values using the digits 1 to 9, we need to arrange them in a way that maximizes or minimizes the resulting number. Let's consider the boxes as placeholders for the digits.

To determine the largest absolute value:

We place the digit 9 in the leftmost box, as it is the largest digit among 1 to 9. Then we arrange the remaining digits, 8, 7, 6, 5, 4, 3, 2, and 1, from largest to smallest in the remaining boxes. This gives us the number 987654321, which is the largest possible number using the given digits. Therefore, the largest absolute value is 987654321.

To determine the smallest absolute value:

We place the digit 1 in the leftmost box, as it is the smallest digit among 1 to 9. Then we arrange the remaining digits, 2, 3, 4, 5, 6, 7, 8, and 9, from smallest to largest in the remaining boxes. This gives us the number 123456789, which is the smallest possible number using the given digits. Therefore, the smallest absolute value is 123456789.

To find the decimal equivalent of these numbers, we simply read the digits from left to right. The decimal equivalent of the largest absolute value, 987654321, is 987,654,321. The decimal equivalent of the smallest absolute value, 123456789, is 123,456,789.

Thus, the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.

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Answer:

im pretty sure that the answer is 28

Answer:

\(1.739\)

Step-by-step explanation:

We know that \(3.7=37/10\).

We also know that \(0.47=47/100\).

The product of these is \(37/10*47/100=(37*47)/1000=1739/1000=1.739\).

So, the answer is \(\boxed{1.739}\)

Answer:

Dawn10÷4=40% Elena50÷25=50% 50 is better than 40

Answer:

he buys 40 juice boxes

Step-by-step explanation:

Answer: good boy good boy

Answer:

0.74

Step-by-step explanation:

Given :

__________________ STRENGTH __

__________________High _ Low

High conductivity _____ 74 __ 8

Low conductivity _____ 15 ___ 3

Probability that conductivity is high and strength is high :

This the probability of High conductivity n High strength = P(High conductivity n High strength)

Probability = required outcome / Total possible outcomes

Required outcome = P(High conductivity n High strength) = 74 (from table)

Total possible outcomes = total sample size = 100

Hence,

P(High conductivity n High strength) = 74 / 100 = 0.74

Answer:

Step-by-step explanation:

Surface area comprises of:

Correct option is C

Answer:

its 31.25 i took the test and got it right

Step-by-step explanation:

Answer:

\(m=\frac{5}{7}\)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-9, -10)

Point (-2, -5)

Step 2: Find slope m

And we have our final answer!

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

all sides are equal

Answer:

72 percent

Step-by-step explanation:

7/25, x 4 to get a fraction of 100

28/100

100 - 28 = 72

72 percent

Answer:

Ashley still needs to finish 72 percent of her homework

Step-by-step explanation:

Happy to help!! :D

Answer:

Probability that the coin lands heads on the first toss is [math] \frac {1} {2} [/math] ... Expect the answer to be less than the individual probabilities of either event A or ... What is the probability of obtaining 3 heads when a fair coin is tossed 7 times? ... that outcome, your second flip has the coin starting with the heads side up.

Step-by-step explanation: Probability that the coin lands heads on the first toss is [math] \frac {1} {2} [/math] ... Expect the answer to be less than the individual probabilities of either event A or ... What is the probability of obtaining 3 heads when a fair coin is tossed 7 times? ... that outcome, your second flip has the coin starting with the heads side up.

Answer:

okay, so we have a wall that is 60 ft. The area of the wall because the wall is a square is just side squared. So the area of the wall is \(60^{2}\), which is 30 600 square feet. The mirror is 20 ft by 60 ft. So the area of the mirror, because its a rectangle is length times width, so that's 20 a 60 so 20 x 60 is gonna give me 1200 square feet. So if we take the area of the mirror and put that over the area, the wall we get 1200 over 30 600, which reduces to one over three. So the mirror is one third the area of the wall.

Step-by-step explanation:

Answer:

After 4 weeks: $45, After w weeks: 5w + 25

Step-by-step explanation:

5 per week is 20 for 4 weeks. $25 + $20 = $45.

5w is 5 times the week. +25 because he had 25 to begin with. 5w+25.

Answer:

x=60 all you have to do is take 140 and subtract it from 80 that is it

Answer:

x= 40°

Step-by-step explanation:

here

x°+140°+80°= 180°

or , x°+220°=180

or , x°=220°–180°

•

• • x= 40°

a) The value in four years is 2,207,626

b) The growth rate percent is 102.5 %

c) It would attain the value in 11 years.

We know that a function has to do with a mathematical rule that is used for the establishment of a fact. We have from the question that the function that models the car is; V = 2000000(1.025)^n

Let us recall that n has to do with the number of years.

a) In four years, the value of the car would be;

V = 2000000(1.025)^4

V = 2,207,626

b) The growth rate percent of the function can  be obtained as;

1.025 * 100 = 102.5 %

c) To obtain the year in which the value of the car would reach 2624173.32, we have;

2624173.32 = 2000000(1.025)^n

2624173.32/2000000 = (1.025)^n

1.312 = (1.025)^n

ln1.312 = n ln (1.025)

n = ln1.312 /ln (1.025)

n = 0.272/0.025

n = 11

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The intersection of vertical lines A and B is  3 and 4.

We are going to apply the sets theory here. In sets theory, the intersection of two elements means the values those elements have in common.

So given: A = {1, 2, 3, 4} and B = {3, 4, 5}

The intersection of A = {1, 2, 3, 4} and B = {3, 4, 5} is {3,4} since they both have 3 and 4 common.

Therefore, vertical lines A and B have intersection of 3 and 4.

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Answer:

A rectangle in the coordinate plane with vertices at negative 3 comma negative 1, 1 comma 5, 4 comma 3, and 0 comma negative 3.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Answer:

I suggest you use Socratic, it solves questions like this.

Step-by-step explanation:

Answer:

if you are looking for how many miles the car will travel for 2 hours then it would be 110

Step-by-step explanation:

55×2=110

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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