What value of x makes the equation -0.2(3x – 25) = -0.1x + 7 true?

Answer:

2

Step-by-step explanation:

2.36 would need to be at least 2.50 or higher to be rounded to 3 so we round down to 2

hope this helps <3

The length of FG chord is 5 units.

What bout chord?

A chord is a line segment that joins two points on the circumference of a circle. More specifically, a chord is a straight line that intersects a circle at two points, and the segment of the line between these two points is called a chord.

The length of a chord can be calculated using the Pythagorean theorem, given the radius of the circle and the distance between the two points on the circumference. The length of a chord is always less than or equal to the diameter of the circle.

Chords have various applications in geometry, trigonometry, and calculus. For example, in trigonometry, the chord function is defined as the ratio of the length of a chord to the radius of the circle. In calculus, chords are used in the definition of the derivative, which is the slope of the tangent line to a curve at a given point.

According to the given information:

2(x + 2 )=  ( 5 x - 5 )

2x + 4 = 5x -5

9 = 3x

3 = x

The length of FG is = x+2 = 3+2 = 5 units

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The length of FG chord is 5 units.

What bout chord?

A chord is a line segment that joins two points on the circumference of a circle. More specifically, a chord is a straight line that intersects a circle at two points, and the segment of the line between these two points is called a chord.

The length of a chord can be calculated using the Pythagorean theorem, given the radius of the circle and the distance between the two points on the circumference. The length of a chord is always less than or equal to the diameter of the circle.

Chords have various applications in geometry, trigonometry, and calculus. For example, in trigonometry, the chord function is defined as the ratio of the length of a chord to the radius of the circle. In calculus, chords are used in the definition of the derivative, which is the slope of the tangent line to a curve at a given point.

According to the given information:

2(x + 2 )=  ( 5 x - 5 )

2x + 4 = 5x -5

9 = 3x

3 = x

The length of FG is = x+2 = 3+2 = 5 units

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The First group i.e 1-10 include more prime numbers .(2,3,5,7,1)

Answer:

Step-by-step explanation:

There is one even prime number - 2.

All the rest primes are odd numbers.

Therefore odd numbers include more primes.

Integer - 19 (1/8)inch board would be left after cutting from 34(1/4) inch board

What is an Integer ?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. When expressed in mathematical terms,

34 (1/4) inch board = 137/4 ----(1)

Cut piece = 14 3/4 = 59/4 ----(2)

saw cut 3/8 = 3/8 --------(3)

To calculate the board which is left after cutting will be

                                                          = 137 / 4 - 59 / 4 - 3/8

                                                          = 137 - 59 / 4 - 3 / 8

                                                          = 39 / 2 - 3 / 8

                                                          = 312 - 6 / 8

                                                          = 306 / 16

                                                          = 153 / 8

or,                                                       = 19 (1/8)inch

Hence, 19(1/8)inch board will be left after cutting

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Answer:   Simplified

31. 13a2 + 10a

35. 9a2 - 21a + 12

37. 2x2 - 8x

Step-by-step explanation:

Answer:

Step-by-step explanation:

13.3 + 6.7 = 20

\(\frac{13.3}{20} = \frac{x}{x + 10} \\\\ 20x = 13.3(x + 10) \\\ 20x = 13.3x + 133 \\\ 20x - 13.3x = 133 \\\ 6.7x = 133 \\\ x = \frac{133}{6.7} \\\\ x ≈ 19.85 \\\ x ≈ 20\)

I hope I've helped you.

Answer:

  48.6

Step-by-step explanation:

Put the values in place of the variables and simplify according to the Order of Operations in the usual way.

  10.2x +9.4y

  = 10.2(2) +9.4(3) . . . . . 2 is substituted for x; 3 is substituted for y

  = 20.4 +28.2

  = 48.6

Answer:

----------------------

There are various combinations of coins.

In total there are:

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

The best prediction of the number of clicks on the advertisement if 1,500 people visit the website is; C: 83

We want to find the best prediction of the number of clicks on the advertisement if 1,500 people visit the website.

Now, we see the coordinates from the table;

(1045, 60)

(1106, 63)

(1500, y)

where y  is the best prediction of the number of clicks on the advertisement if 1,500 people visit the website.

By interpolation, we can say that;

(y - 63)/(1500 - 1106) = (63 - 60)/(1106 - 1045)

(y - 63)/394 = 3/39

(y - 63)/394 = 1/13

Cross multiply to get;

y - 63 = 394/13

y = 93

Looking at the options, the closest option is option C.

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Answer:

The variable must be alone or isolated on one side of the equation.

Isolate the variable by using inverse or opposite operations.

The equation must remain balanced.

Explanation:

Let me just make sure!

The recursive rule is f(n) = f(n - 1) * 2; f(1) = 9 and the explicit rule is f(n) = 9(2)^n-1

The recursive rule

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

The table

The table definitions imply that we simply multiply 2 to the previous term to get the current term

This means that

f(n) = f(n - 1) * 2

Where

f(1) = 9

The explicit rule

The table definitions imply that we simply multiply 2 to the previous term to get the current term

a = 9

r = 2

So we have

f(n) = a * r^n-1

This gives

f(n) = 9(2)^n-1

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Answer:A

Step-by-step explanation:horizontal asymptote at y=0

The statement i.e. true when there is given graph of the equation so it should be  that There is a horizontal asymptote at y = 0.

It should be arise with respect to the rational function at the point when the denominator should be zero and the numerator should not be equivalent to zero.

So based on this, we can say that The statement i.e. true when there is given graph of the equation so it should be  that There is a horizontal asymptote at y = 0.

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Written in the form z = a + jb, the 8 8th roots of unity are:

1 + 0j

0 + 1j

-1 + 0j

0 - 1j

0 - 1j

-1 + 0j

0 + 1j

1 + 0j

The eighth root of 1 is the eight complex numbers that satisfy the equation z^8 = 1. where z is a complex number.

These zeros can be written in the form z = a + jb. where a is the real part and b is the imaginary part.

To find the 8th root of 1, start by finding the primitive 8th root of 1, a complex number z such that z^8 = 1 and z is not a low root of 1. You can find the primitive 8th root of unity by setting z = cos(2pi/8) + jsin(2×pi/8) . This will tell you:

z = cos(pi/4) + jsin(pi/4) = sqrt(2)/2 + jsqrt(2)/2 = 1/sqrt(2) + j/sqrt(2)

The other seven 8th roots of 1 can be found by multiplying the primitive 8th root of 1 by the power of i. where i is the imaginary unit. Powers of i are in the order 1, i, -1, -i, -i, -1, i, 1. So the unified 8 8th root is:

1 + j0 = 1 + 0j

0 + j1 = 0 + 1j

-1 + j0 = -1 + 0j

0 - j1 = 0 - 1j

0 - j1 = 0 - 1j

-1 + j0 = -1 + 0j

0 + j1 = 0 + 1j

1 + j0 = 1 + 0j

Written in the form z = a + jb, the 8 8th root of 1 is

1 + 0j

0 + 1j

-1 + 0j

0 - 1j

0 - 1j

-1 + 0j

0 + 1j

1 + 0j

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Answer:

hindi ko po maintin dihan sorryyyyyyyyyy

Answer:

J=35  K=63  L=42

Step-by-step explanation:

Answer:

\(3\sqrt{22}\)

Step-by-step explanation:

The product of roots with the same index is equal to the root of the product \(3\sqrt{11*2}\)

Multiply

Answer:

As

Step-by-step explanation:

Aaa

"Distance traveled is a function of time." In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.

Distance is a fundamental concept in physics and mathematics that measures the extent or length between two points.

It represents the amount of ground covered or space traveled. When we say that distance is a function of various factors, it means that different variables or parameters can influence the distance traveled.

In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.

The sentence "Distance traveled is a function of time" expresses this relationship, indicating that the distance traveled can be determined or calculated based on the value of time.

Thus, it implies that as time changes, the corresponding distance traveled also changes, establishing a functional relationship between the two variables.

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Approximately 18% of the population is represented by the sample.

To determine the proportion of the population that is represented by the sample, we can use the formula:

Proportion of population in sample = (Sample size / Population size)

In this case, the sample size is 2,880 houses, and the population size is approximately 16,000 houses. Using the given values, we can calculate the proportion:

Proportion of population in sample = (2,880 / 16,000) ≈ 0.18

Therefore, approximately 18% of the population is represented by the sample.

This means that the researcher has sampled about 18% of the houses in the small town to estimate the proportion of houses with garages. Since the sample size is less than 10% of the population, the independence assumption is reasonable.

The independence assumption is important for hypothesis testing and constructing confidence intervals because it ensures that the observations in the sample are independent of each other and representative of the population.

By randomly selecting a sample that is less than 10% of the population, we can reasonably assume that the observations in the sample are independent and reflect the characteristics of the larger population. This allows us to make valid statistical inferences and draw conclusions about the population based on the sample data.

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Answer:

A = 530.929158457

Answer:

Area = 706.8583471

Explanation:

The used law to measure the surface area of the sphere is

\(area \: = 4\pi \: {r}^{2} \)

Where (r) is the radius. The radius is half the diameter, so it will be half 13 which is equal to 7.5. By using this law:

\(4\pi \: {7.5}^{2} = 706.8583471\)

Its a weird problem but I think u should use formula:

(a+b)^2=a^2+2ab+b^2

5(q+p+3)=5q+15+5p=(√5q+√5p)^2

it is only thing u can do.

The most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.

Number is an abstract concept used to count or measure something. It is present in many aspects of our lives, from counting the number of people in a room to measuring a distance between two points. Numbers are also used to represent information and to quantify facts. We use numbers in mathematics, science, engineering, business, and many other fields. Numbers are also used in everyday life, such as for telling time, counting items, and measuring distances.

The most reasonable explanation for why Medera received zero calls between the hours of 3pm and 5pm is that Medera turned the phone off while playing in a soccer game. This can be seen by looking at the histogram, which shows that there were zero calls received around this time, while Medera was likely playing in the game. The graph also shows that Medera usually receives a cluster of calls at certain times. This is also evidence that she turned her phone off while playing in the game, as it would be unlikely that she would receive no calls if her phone was still on. Additionally, it is unlikely that Medera's phone can only receive 22 calls a day, as this would be an unusually low limit. Furthermore, it is unlikely that Medera lost her phone for two hours, as this would not explain why there were zero calls received. Therefore, the most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.

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The hours when no calls were received were most likely when Madera turned off the phone while practising soccer.

According to the question,

Madera, a middle school student, got phone calls from 10 a.m. to 10 p.m. on one Saturday.

From the scenarios presented, the one that would suggest this would be when Medera turned off his phone while playing soccer. This is because, her phone was turned off, it was not receiving any phone signal, which meant that no inbound calls were received during that time. Medara lost her phone for two hours, but even though she didn't have it with her, the phone was still on and connected to a network, indicating that calls were still streaming.

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Answer:

  14 units

Step-by-step explanation:

The two given points have the same y-coordinate, so lie on the horizontal line y = -8. The distance between the points will be the difference of their x-coordinates.

  distance = 10 -(-4) = 10 +4 = 14

The distance between the points is 14 units.

Answer:

14 units

The two given points have the same y-coordinate, so lie on the horizontal line y = -8. The distance between the points will be the difference of their x-coordinates.

Step-by-step explanation:

The two given points have the same y-coordinate, so lie on the horizontal line y = -8. The distance between the points will be the difference of their x-coordinates.

 distance = 10 -(-4) = 10 +4 = 14

The distance between the points is 14 units.

The solution to the inequality expression 3x + 4 > 16 is x > 4

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

3x + 4 > 16

Subtract 4 from both sides of the expression

So, we have the following representation

3x > 12

Divide by 3

x > 4

Hence, the solution is x > 4

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Answer: number 7. 7

Step-by-step explanation:

Simplifying

7X + 1 + -5X = 15

Reorder the terms:

1 + 7X + -5X = 15

Combine like terms: 7X + -5X = 2X

1 + 2X = 15

Solving

1 + 2X = 15

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + 2X = 15 + -1

Combine like terms: 1 + -1 = 0

0 + 2X = 15 + -1

2X = 15 + -1

Combine like terms: 15 + -1 = 14

2X = 14

Divide each side by '2'.

X = 7

Simplifying

X = 7

Using the concept of a statistical question, this question is not one example of those, as it cannot be answered collecting data that vary.

It is a question that can be answered collecting data that vary, for example, the number of Buffalo Bills fans in a sample of 1000 people.

In this problem, the number of days in June is a fixed amount(30), hence it is not a statistical question.

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