Solve x using logarithmic 7^x=3^[x+4]

The values for the class width and sample size as obtained from the histogram are 3 and 30.

Class width refers to the interval used for each class in the distribution. The class interval is always equal across all classes.

From the x-axis of the histogram, the difference between each successive pair of values gives the class width.

Class width = 4 - 1 = 3

The sample size of the data is the sum frequency values of each class.

(2 + 10 + 3 + 6 + 5 + 4) = 30

Therefore, the class width and sample size are 3 and 30 respectively.

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Answer:

\( \frac{66}{125} \)

hours

Hope it helped

PLS mark BRAINLIEST

Answer:

75%

Step-by-step explanation:

\( \frac{42}{56} \times 100 = 75\)

Answer: c= 10/x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: y<3x-4

Step-by-step explanation:

\((0,-4) \ \ \ \ \ \ (1,-1)\)

                           The equation of the line

                                 \(\displaystyle\\\boxed {\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }\)

\(\displaystyle\\x_1=0\ \ \ \ x_2=1\ \ \ \ y_1=-4\ \ \ \ y_2=-1\\Hence,\\\frac{x-0}{1-0} =\frac{y-(-4)}{-1-(-4)} \\\\\frac{x}{1} =\frac{y+4}{-1+4} \\x=\frac{y+4}{3}\)

Умножьте обе части уравнения на 3:

\(3x=y+4\\3x-4=y+4-4\\3x-4=y\)

Thus, y<3x-4

Answer:

a

Step-by-step explanation:

Answer:

2 and 4 are correct

Step-by-step explanation:

1 is incorrect because 4/5 being bigger than 7/10

3 is incorrect because 2/3 is more than 5/9

Answer:

Klean company = 20 + 25h

Dustbuster cleaning services = 35h

Step-by-step explanation:

Let

Number of hours = h

Equation to calculate the cost of cleaning your house

Klean company = 20 + 25h

Dustbuster cleaning services = 35h

Find the number of hours when the cost of cleaning house by both companies will be equal

Klean company = Dustbuster cleaning services

20 + 25h = 35h

20 = 35h - 25h

20 = 10h

h = 20/10

h = 2 hours

Number of hours = h = 2 hours

The area of the triangle is mathematically given as

A=20.8cm

This is further explained below.

The region that is surrounded by the perimeter of the triangle, also known as the three sides of the triangle, is referred to as the area of the triangle.

The space that is encompassed by all three of a triangle's sides is referred to as the triangle's area.

It is computed with the assistance of a variety of formulae that differ according to the kind of triangle, and the results are represented in square units such as centimeters squared, inches squared, and so on.

Generally, the equation for Area the is mathematically given as

A = 1/2 * base * height

Therefore

A= 1/2 * 8 * 5.2

A=20.8cm

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To approach this type of problem, you have to make a couple of reasonable assumptions - first, that each worker works at the same pace, and second, that the effort to build each wall is the same.

Next, figure out how much effort is required to build one wall. The effort is measured in “working days”. So, how many days does one worker need to build one wall, or how many workers would be required to build one wall in one day? We can calculate this by dividing the 25 worker days used to build five walls by the number of walls (5). So we need five worker days per wall.

(5 workers) x (5 days) = 25 worker-days;

25 worker days/5 walls = 5 worker days per wall.

With 100 workers, it will take five days to build 100 walls. Each worker will build one wall in 5 days. So it will also take 5 days for all 100 workers to build all 100 walls.

100 x 5 = 500 worker days;

500 worker-days / 100 workers = 5 days (answer)

The equation 36.50x + 15.25 = 416.75 can be simplified to solve for x, representing the number of people who can go to the amusement park. By isolating the variable, we find that x is approximately 11, meaning that 11 people can go to the amusement park with the given budget.

The term x(36.50) represents the total cost of admission tickets for x number of people, and 15.25 represents the cost of parking. The sum of these costs must be equal to the total amount of money available, which is $416.75. To solve for x, we can first simplify the equation to 36.50x + 15.25 = 416.75, and then isolate the variable by subtracting 15.25 from both sides, giving 36.50x = 401.50. Finally, we can divide both sides by 36.50 to find that x is approximately 11, meaning that 11 people can go to the amusement park with the given budget.

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To calculate the probability of selecting a boy or a red-haired person as a homeroom representative to student council, we need to find the probability of each event and then use the formula P(A or B) = P(A) + P(B) - P(A and B).

There are 31 students in total (16 girls + 15 boys). The probability of selecting a boy is 15/31.

There are 5 red-haired students (3 girls + 2 boys). The probability of selecting a red-haired person is 5/31.

However, we need to account for the overlap between boys and red-haired students. There are 2 red-haired boys, so the probability of selecting a red-haired boy is 2/31.

Now we can use the formula: P(boy or red-haired) = P(boy) + P(red-haired) - P(boy and red-haired) = (15/31) + (5/31) - (2/31) = 18/31.

So, the probability of selecting a boy or a red-haired person as a homeroom representative to student council is 18/31.

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The problem requires us to determine the exact value of each function using the sum or difference identities.

The two functions are:

sin(60° + 45°) and cos(-α).

Solution:

We will use the following trigonometric identity:

sin(A + B) = sinA cosB + cosA sinBcos(-α) = cos α

Since the cosine function is an even function, cos(-α) = cos(α)

Using the above identities and given values, we can evaluate the two functions.

Solution of sin(60° + 45°)sin(60° + 45°) = sin 60° cos 45° + cos 60° sin 45°

Here, sin 60° = √3/2, cos 60° = 1/2, cos 45° = sin 45° = √2/2

Therefore, sin(60° + 45°) = (√3/2)(√2/2) + (1/2)(√2/2)= (√6 + √2) / 4

Solution of cos(-α)cos(-α) = cos α

As per the given function, α = 0cos(0) = 1

Therefore, cos(-α) = cos(0) = 1

The value of sin(60° + 45°) is (√6 + √2) / 4 and the value of cos(-α) is 1.

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Answer: 7

Step-by-step explanation:

6(2/3) + 3

= 6(2/3) + 9/3

= 12/3 + 9/3

= 21/3

= 7

A horizontal parabola with a right-facing opening and a vertex at (1,1) is we have positive direction.

In order to make the coefficients of either the variable x or the variable y numerically equal, first multiply both of the following equations by any suitable non-zero constants.

Finding the single equation of a curve in standard form with only the variables xs and ys constitutes the cartesian equation of that curve. You must simultaneously solve the parametric equations in order to arrive to this equation.

X and Y both

are t-related functions.

We have t=y1 after solving y=t+1 to get t as a function of y.

Thus, given x=t2+1, we have x=(y1)2+1x1=(y1) by substituting t=(y1).

A horizontal parabola with a right-facing opening and a vertex at (1,1) is what we have positive direction.

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Answer: i think it is C

Step-by-step explanation: brainiest please?

The volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.

The given vectors are:

A = [-4, 3, 2] cm, B = [2,1,3] cm and C= [1, 1, 4] cm

In order to calculate the volume of parallelepiped, we will use vector triple product equation:

Volume = A . (BXC)|, where BXC represents the cross product of vectors B and C.

Step-by-step solution:

We have, A = [-4, 3, 2] cm

B = [2,1,3] cm

C = [1, 1, 4] cm

Now, let's find BXC, using the cross product of vectors B and C.

BXC = | i    j     k|                    2      1     3                            1      1     4        | i    j     k |  = -i + 5j - 3k

Where, i, j, and k are the unit vectors along the x, y, and z-axes, respectively.

The volume of the parallelepiped is given by:

Volume = A . (BXC)|

Therefore, we have: Volume = A . (BXC)

\(Volume = [-4, 3, 2] . (-1, 5, -3)\\Volume = (-4 \times -1) + (3 \times 5) + (2 \times -3)\\Volume = 4 + 15 - 6\\Volume = 13\)

Therefore, the volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.

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False. The equation "ax = b" is not referred to as a vector equation. In linear algebra, the equation "ax = b" represents a system of linear equations.

Where "a" is a matrix, "x" is a vector of variables, and "b" is a vector of constants. This equation is commonly known as a matrix equation.

A vector equation, on the other hand, involves vectors on both sides of the equation. It typically represents geometric relationships, such as lines or planes in space. A vector equation might have the form "v = su + tv," where "v," "u," and "v" are vectors, and "s" and "t" are scalars.

The equation "ax = b" is different because it involves matrix multiplication, where the matrix "a" operates on the vector "x" to produce the vector "b." The matrix "a" represents the coefficients of the system of linear equations, while "x" represents the unknown variables, and "b" represents the constant terms.

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After reducing all the book prices by 50%, the new median price is determined to be $7.70 (B)

To find the new median price after reducing all the book prices by 50%, we first need to calculate the reduced prices. By reducing each given price by 50%, we get $6.375, $7.40, $9.995, $4.975, $8.00, and $8.975 respectively.

Next, we arrange these reduced prices in ascending order: $4.975, $6.375, $7.40, $8.00, $8.975, and $9.995. The median is the middle value in this ordered list. Since there are six prices, the middle two values are $7.40 and $8.00.

To find the median, we take the average of these two values, which gives us ($7.40 + $8.00) / 2 = $7.70.

Therefore, the new median price, after reducing all the book prices by 50%, is $7.70 (B). This means that the median price of the books, after the reduction, is $7.70.

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Answer:

DE = 32

EF = 34

Step-by-step explanation:

3x + 5 + 4x - 2 = 66

7x + 3 = 66

7x = 63

x = 9

DE = 3(9)+5 = 32

EF = 4(9)-2 = 34

check:  32 + 34 = 66

Answer:

DE = 32

EF = 34

DF = 66

Step-by-step explanation:

DE + EF = DF from the segment addition postulate

3x+5  + 4x-2 = 66

Combine like terms

7x+3 = 66

Subtract 3 from each side

7x+3-3 = 66-3

7x = 63

Divide each side by 7

7x/7 = 63/7

x = 9

DE = 3x+5 = 3(9)+5 = 27+5 = 32

EF = 4x-2 = 4(9) -2 = 36-2 = 34

DF = 66

Answer:

united States is the country that has Abt 99% of the population be immigrants

Answer:

(2+4) x 9

Step-by-step explanation:

The value of csca is -3/sqrt(13). Since the terminal ray of ∠a passes through the point (−4,−6), we can find the length of the hypotenuse of the right triangle formed by the terminal ray of ∠a, the x-axis, and the y-axis using the Pythagorean theorem.

Let r be the length of the hypotenuse. Then:

r^2 = (-4)^2 + (-6)^2 = 52

So, r = sqrt(52) = 2sqrt(13).

The value of csca is given by the ratio of the side opposite the angle ∠a to the hypotenuse r:

csca = (-6)/r = (-6)/(2sqrt(13)) = -3/sqrt(13)

Therefore, the value of csca is -3/sqrt(13).

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The temperature was 3 degrees colder in the afternoon.

Given the following temperature values

• Temperature of thermometer in the morning = -2°C.

• Temperature of thermometer in the evening = -5°C.

Find the change in temperature

Note that the lower the temperature, the colder it will be and the higher the temperature, the warmer.

Since the temperature in the afternoon is lower than the temperature in the morning, hence the temperature is colder in the afternoon.

Based on the explanations above we can conclude that the temperature was 3 degrees colder in the afternoon.

The total distance travelled covered by the Daren is greater than that of  Umberto.

Distance travelled is the product of speed of the body and the time for which it moved. Mathematically -

Distance = Speed x Time

Given is that Daren can run 8.55 kilometers in one hour. Umberto can run 9.5 kilometers in one hour. Now, Daren plans to run for 3.5 hours and Umberto plans to run for 3 hours.

Total distance travelled by Daren is -

d₁ = 8.55 x 3.5

d₁ = 29.925 Km

Total distance travelled by Umberto is -

d₂ = 9.5 x 3

d₂ = 28.5 Km

It can be seen that -

d₁ > d₂

Therefore, the total distance travelled covered by the Daren is greater than that of  Umberto.

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A Mathematical model for the determination of total area under glucose tolerance and other metabolic curves is called: Tai Mathematical model.

The Team Assisted Individualization method is a learning method developed by Slavin, Leavy, Kraweit and Madden in 1982 to 1985 in the book Cooperatine Learning: Theory, Research and Practice.

The Team Assisted Individualization method is structured to solve problems in teaching programs, for example in terms of individual student learning difficulties. This model pays attention to differences in the initial knowledge of each student to achieve learning achievement.

Students individually study learning material that has been prepared by the teacher. Individual learning outcomes are brought to groups to be discussed and mutually discussed by group members and all group members are responsible for the overall answer as a shared responsibility.

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