The area of a sector of a circle is
18 pie cm². The radius of the circle is
6 cm. The angle in the sector is

The potential solutions to the equation are x = -2 and x = -4

A logarithm is the power to which a number must be raised in order to get some other number .

The given expression is ln(x + 3) = 0

It can be rewritten as

[tex]ln _e (x + 3) = 0[/tex]

[Since base of a natural logarithm is considered as e]

[tex]e^0 = (x + 3)[/tex]

Since in a logarithmic function if log b with base e = c

Then we further solve the expression to get the possible roots.

x + 3 = 1

x =  1-3

x = -2

Therefore, the potential solutions are x = -2 and x = -4

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Answer:

1/8 square miles

Step-by-step explanation:

1/4 times 1/2 = 1/8

Answer:

the median is 26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

first list in numerical order

18,20,20,21,25,27,28,30,30,31

/ / / / / / / /

you are left with 25 and 27 and in-between that is 26 so 26 is the median

Answer:

When I used a cylinder calculator I got 6785.84 yd^3

Step-by-step explanation:

Answer: 8 dogs

Step-by-step explanation:

There are 96 animals in the shelter.

1/3 are ferrets which means that the number of ferrets is:

= 1/3 * 96

= 32 ferrets

Remaining animals:

= 96 - 32

= 64 animals

7/8 of the remaining are rabbits:

= 7/8 * 64

= 56 rabbits

Number of dogs is what is left so:

= 64 - 56

= 8 dogs

Answer:

28d + 60

Step-by-step explanation:

4d + 36 + 24d + 24

28d + 60

First I used distributive property to expand. Then I rewrote my answer into simplest form possible. As we know that two negatives equal postive which is what I did to get the correct answer.

Answer:

The answer is D

Step-by-step explanation:

55 miles multiplied by 1 hour is 55,

55 miles multiplied by 2 hours is 110,

55 miles multiplied by 3 hours is 165,

55 miles multiplied by 4 hours is 220,

and 55 miles multiplied by 5 hours is 275

Length = 20 ft

If he uses 60 ft of fencing to line his rectangular backyard, then the perimeter is 60 ft.

Perimeter formula is ((Width × 2) + (Length × 2))

10 × 2 = 20

20 × 2 = 40

40 + 20 = 60

Answer:

120

Step-by-step explanation:

Answer:

C will be the answer for this

The conclusion on if there is convincing evidence that the one detergent is better than the other is; Option D: No, because a difference in mean rating of 1.5 or more occurred 23 out of 200 times, meaning the difference is not statistically significant and there is not convincing evidence that one brand is better than the other.

We are told that, 25 pieces are randomly assigned to be cleaned with detergent A, while the remaining 25 pieces are cleaned with detergent B.

Therefore, we can say that the sample size for both detergent A and detergent B is same. We can also say that the sample is distributed randomly which means that the sample is unbiased (fair).

We are also told that the mean rating for detergent B is found to be significantly less than the mean rating for detergent A.  Since we know that the mean is the average of a set of given numbers, then we can conclude that there is No evidence that the one detergent is better than the other because a difference in mean rating of 1.5 or more occurred 23 out of 200 times, meaning the difference is not statistically significant and there is not convincing evidence that one brand is better than the other.

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Answer: It should be 2 x 2 x 5 = 20cm

Step-by-step explanation: Formula- volume = length x width x height

I hope this helps:)

Answer:It would be..

Step-by-step explanation:

5 x 2 = 10, And then we multply the with the 10. 10 x 2 = 20,

The Answer is 20.

The parabola is open upward direction. The vertex is the minimum value of the parabola.

What is a parabola?

A parabola is a planar curve that is mirror-symmetrical and roughly U-shaped in mathematics. It fits various seemingly disparate mathematical descriptions, all of which can be shown to define the same curves. A point and a line are two ways to describe a parabola.

Given quadratic function is

f(x) = 5x² -3x

The leading term of the given function is 5x².

The sign of the leading term is positive, thus it is open upward direction.

Rewrite the given function in the form f(x) = a(x - h)² + k

f(x) = 5x² -3x

f(x) = 5( x² - 3/5 x)

f(x) = 5( x² - 3/5 x + 9/100 - 9/100)

f(x) = 5( x² - 3/5 x + 9/100) - 5 × 9/100

f(x) = 5( x -  3/10)² - 9/20

f(x) = 5( x -  3/10)² + (-9/20)

The vertex of the parabola is (3/10, -9/20).

Since the parabola opens upward direction, thus the vertex of the parabole is a minimum value.

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Answer: Values; 6,8,10

Step-by-step explanation:

❌ 2 + 5 > 10

❌ 4 + 5 > 10

✔️ 6 + 5 > 10

✔️ 8 + 5 > 10

✔️ 10 + 5 > 10

Answer:

Step-by-step explanation:

Remark

You are trying to find one of the legs of a right triangle. All you need is the Pythagorean Theorem.

Formula

x^2 + y^2 = c^2

Givens

x = ?

y = 0.9

c = 1.5

Solution

x^2 + 0.9^2 = 1.5^2

x^2 + 0.81 = 2.25         Subtract 0.81 from both sides

x^2 = 2.25 - 0.81

x^2 = 1.44                     Take the square root of both sides

sqrt(x^2) = sqrt(1.44)

x = 1.2  

Answer:

not really understanding this question, but I think 6.

Step-by-step explanation:

3/4=6/8

The percent increase is 50%.

The percentage increase in a quantity is the rate of difference in the old and new value to the old value, express in percentage.

i.e percentage increase = (old value - new value)/ old value

If the new quantity were be have decreased, then the percentage decrease can also be determined.

Considering the given question, the percentage increase can be determined by;

old quantity = 8

new quantity = 4

So that,

percentage increase = (old value - new value)/ old value

                                   = (8 - 4)/ 8 *100%

                                   = 4/ 8 * 100%

percentage increase = 50%

The percent increase is 50%.

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The area of the shaded region is 26.088 sq units.

A circle is a particular type of ellipse in mathematics or geometry where the eccentricity is zero and the two foci are congruent. A circle is also known as the location of points that are evenly spaced out from the center.

The radius of a circle is measured from the center to the edge. The line that splits a circle into two identical halves is its diameter, which is also twice as wide as its radius.

Area of a 60-degree sector of a circle with radius 12  = 60/360 pi 12^2    Since, there are two of these minus the area of equilateral triangle =                 sqrt3 /4  12^2  = 60/360 pi 12^2 * 2 -  sqrt3 /4  12^2 *2  =  26.088 sq units

Thus, the area of the shaded region is 26.088 sq units.

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Answer:

Day 13

Step-by-step explanation:

The question can be represented with a geometric sequence

Where,

a = 5

Common ratio , r = 2

v(t) = a * r^(t - 1)

v(t) = 5 * 2^(t-1)

20,000 = 5 * 2^(t-1)

Divide both sides by 5

20,000 / 5 = 5 * 2^(t-1) / 5

4,000 = 2^(t-1)

2^12 = 2^(t-1)

12 = t - 1

12 + 1 = t

t = 13 days

What would be the day when more than 20,000 people will see the video

Check:

v(t) = 5 * 2^(t-1)

= 5 * 2^(13-1)

= 5 * 2^12

= 5 * 4,096

= 20,480

Therefore,

The day when more than 20,000 people will see the video is day 13

Max mowed the lawns for 6 hours and tutored students for 8 hours.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.

Given is that Max has two part-time jobs. He makes $12 per hour mowing lawns and $15 per hour tutoring students. Over the weekend he worked for a total of 14 hours and made a total of $192.

We can write the system of equations as -

x + y = 14

12x + 15y = 192

Refer to the graph attached. On solving the equation graphically, we get-

x = 6, y = 8

Therefore, Max mowed the lawns for 6 hours and tutored students for 8 hours.

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The slope of the line through (-9,6) and (-6,-9) is -5

Now, According to the question:

Let's know:

What is slope and example?

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).

The formula for the slope of a line when two points (coordinate pairs)

[tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are given is :

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] ,  where m denotes the slope of the line.

Applying this formula, we get:

[tex]m = \frac{-9-6}{-6-(-9)}[/tex]

[tex]m = \frac{-15}{-6+9}[/tex]

m = [tex]\frac{-15}{3}[/tex]

m = -5

Hence, The slope of the line through (-9,6) and (-6,-9) is -5.

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The complete question is this:

What is the slope of the line through (-9,6) and (-6,-9) ?

Answer:

C,A, and F

Step-by-step explanation:

the ones that basically give him a chance is the very first one on the left side and the 3rd one down on the left side and the 2nd column the 2nd one hope this helps

Answer:

ioujyghfdgtrssssfhyjukh

Step-by-step explanation:

Answer:

c=100 the angles in a hexagon =720 so subtract all the angles from 720. 720-155-80-115-160-110=100

Yes it is possible to make the prediction about Ramiro's School but not completely.

It is possible to use the information from Ramiro's sample to make predictions about the school-wide results, but it is important to note that the sample may not be fully representative of the entire population of students at the school. There may be sampling biases or other factors that affect the results.

With that said, based on the information provided, we can calculate the proportion of students in Ramiro's sample who use the library in a certain way, and then use that proportion to estimate the number of students at the school who use the library in that way.

For example, if Ramiro's sample shows that 40 out of the 60 people he surveyed use the library to study, we can estimate that approximately 40/60 = 67% of the school's students use the library to study. We can then use this proportion to estimate that approximately 540 x 67% = 361 students at the school use the library to study.

It's important to note that these predictions are based on sample data and they may not be accurate. To make more accurate predictions, a larger, more representative sample would be needed.

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To tell if a log graph is a growth or decaying, look at the slope of the line. If the slope is positive, then it is growth; if the slope is negative, then it is decay.

A positive slope indicates that the value is increasing over time, while a negative slope indicates that the value is decreasing over time. To find the slope, take two points on the line and calculate the change in the y-value divided by the change in the x-value.

If the answer is positive, the graph is growth; if the answer is negative, the graph is decay. Additionally, you can look at the y-intercept of the graph, which is the value where the line meets the y-axis. If the y-intercept is positive, the graph is growth; if the y-intercept is negative, the graph is decay.

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The Pythagorean theorem can be solved using a C programme, therefore yes. The Pythagorean theorem states that the hypotenuse's square length of a right triangle equals the sum of the squares of its other two sides. The slope is the side that faces the right angle.

Therefore, given the lengths of the two shorter sides (a and b), the length of the hypotenuse can be calculated using the formula: c = sqrt(a^2 + b^2).

Here is an example C program that calculates the length of the hypotenuse of a right triangle given the lengths of the other two sides:

#include <stdio.h>

#include <math.h>

Above command is for library

int main() {

 double a, b, c;

Above command to initiate the variable.

  printf("enter the first side's length.: ");

 scanf("%lf", &a);

To enter the value in program

 printf("enter the second side's length.: ");

 scanf("%lf", &b);

Enter the value and print the value

  c = sqrt(a*a + b*b);

Arithmetic command

   print("The hypotenuse's length is: %lf\n", c); return 0;}

Print the value and return the program value to zero.

This program prompts the user to enter the lengths of the two shorter sides of the triangle, calculates the hypotenuse length using the Pythagorean theorem, and then prints the result.

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Answer:

  18 tickets at $7

Step-by-step explanation:

You want a "Singapore Math" model solution to the number of $7 tickets Mrs. Hana bought if she got $14 change from $200, and she received a total of 30 tickets, some of which cost $5 each.

The attachment shows the model we decided upon. Starting from $200, we subtract $14 in change, then divide the remainder into tickets costing $7 each and tickets costing $5 each. The point where the total number of tickets is 30 is the point that identifies the solution.

Mrs. Hana bought 12 tickets at $5 each, and 18 tickets at $7 each.

__

Additional comment

Most illustrations of Singapore Math models are solving for a single variable. Here, we must choose values for two variables (the numbers of $5 and $7 tickets) so the intended model isn't clear.

The model we have used is adequate for the purpose, but tedious to construct. It requires us to identify the point at which the count of $7 tickets (top bar) and the count of $5 tickets (bottom bar) has a sum of 30.