You are building a rectangular dog pen with an area of 90ft^2.you want the length of the pen to be 3ft longer than twice its width. write an equation that can be used to find the width w of the pen

Answer:

Greta, Betty, Tuan and Hiroshi

Step-by-step explanation:

Start from the beginning:

3 - Greta

Then, continue with the next numbers:

9 -  skip (there is no student numbered with a 9)

6 - Betty

6 - skip (Betty is already chosen)

1 - Tuan

5 - Hiroshi  

Answer:

the answer is true

Step-by-step explanation:

it's what I got

The probability that a person chosen at random is female, given they like comedy, is approximately 0.53 or 53% .

First, let's find the total number of females who like comedy. In the Venn diagram, there are 8 females who like comedy. There are also 7 males who like comedy. So, there are 15 people who like comedy in total.

Next, we need to determine the total number of females. There are 16 females who like drama, and 4 females who like sports. Adding these together, we get 20 females in total.

Now, we can calculate the conditional probability that a female likes comedy given that she was chosen at random. The formula for conditional probability is P(A|B) = P(AnB) / P(B). In this case, event A is "being female" and event B is "liking comedy."

P(A|B) = (Number of females who like comedy) / (Total number of people who like comedy)

P(A|B) = 8 / 15

To express this as a percentage, multiply by 100:

P(A|B) * 100 ≈ 0.5333

Rounded to the nearest hundredth, the probability is 0.53 or 53%.

The probability that a person chosen at random is female, given they like comedy, is approximately 0.53 or 53% .

First, let's find the total number of females who like comedy. In the Venn diagram, there are 8 females who like comedy. There are also 7 males who like comedy. So, there are 15 people who like comedy in total.

Next, we need to determine the total number of females. There are 16 females who like drama, and 4 females who like sports. Adding these together, we get 20 females in total.

Now, we can calculate the conditional probability that a female likes comedy given that she was chosen at random. The formula for conditional probability is P(A|B) = P(AnB) / P(B). In this case, event A is "being female" and event B is "liking comedy."

P(A|B) = (Number of females who like comedy) / (Total number of people who like comedy)

P(A|B) = 8 / 15

To express this as a percentage, multiply by 100:

P(A|B) * 100 ≈ 0.5333

Rounded to the nearest hundredth, the probability is 0.53 or 53%.

Answer:

The sum of the numbers is [tex]8.79+6.0=14.79[/tex]

Step-by-step explanation:

To find : Express the sum of 8.79 m and 6.0 m using the correct number of significant digits.

Solution :

Writing the sum of the numbers according to significant digits by writing in their place value,

 8 . 7 9

+6 . 0 0

----------

14 . 7 9

Therefore, The sum of the numbers is [tex]8.79+6.0=14.79[/tex]

As of Thursday, August 17, 2017, based from the data of the latest United Nations estimates, the current population of China is 1,388,979,446.

China’s population is equivalent to 18.47% of the total world population.

18.47% of the total world population is composed by China’s population.

China is ranked number 1 in the list of countries by population.

Rounding that number off to the nearest 100,000, it would be 1,388,980,000.

As of Thursday, August 17, 2017, based from the data of the latest United Nations estimates, the current population of India is 1,344,431,890.

17.86% of the total world population is composed by India’s population.

India is ranked number 2 in the list of countries by population.

Rounding that number off to the nearest 100,000, it would be 1,344,400,000.

Answer:

correct option is B) 2

Step-by-step explanation:

Slope of line is calculated by formula :-

Suppose two points on line are [tex](x_1, y_1) and (x_2 ,y_2)[/tex] then slope 'm' is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

We can see two points on line of graph are :- (-1, -4) and (2,2)

then slope will be calculated as,

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

since [tex]x_1 = -1, x_2 =2, y_1=-4\;and\; y_2=2[/tex]

now, put in formula

[tex]m=\frac{2-(-4)}{2-(-1)}[/tex]

[tex]m=\frac{2+4}{2+1}[/tex]

[tex]m=\frac{6}{3}[/tex]

[tex]m=2[/tex]

Hence, slope is 2 of the provided graph.

Therefore, correct option is B) 2

The dimensions of the rectangle are a length of 16 yds and a width of 18 yds.

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

Given that the perimeter is 68 yd

We know that the perimeter of a rectangle is:

P = 2(L + W)

∴ P = 68

68 = 2(L + W)

68/2 = L + W

34 = L + W

34 - L = W ....(i)

The area of a rectangle is:

A = L × W ....(ii)

∴ A = 288

Substitute the value W = 34 - L in equation (ii), and solve for L

288 = L(34 - L)

288 = 34L - L²

L² - 34L + 288 = 0

(L - 16)(L - 18)

L - 16 = 0 and L - 18 = 0

L = 16 and L = 18

Take L = 16 and substitute the value in the equation (i)

So, W = 34 - 16 = 18

Therefore, the rectangle's length is 16 yds and its width is 18 yds.

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The conditions to be added are:

The two triangles have congruent angles between the sides that are not the common side.

The two triangles have congruent lengths for the sides adjacent to the congruent angles.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The SAS (Side-Angle-Side) triangle congruence theorem states that if two triangles have two sides and the included angle of one triangle is congruent to two sides and the included angle of the other triangle, then the two triangles are congruent.

Therefore, in addition to sharing a common side, the two triangles must have congruent angles between the sides that are not the common side. Specifically, the angle opposite the common side must be congruent in both triangles.

To summarize, for the SAS triangle congruence theorem to apply, the following conditions must be met:

The two triangles share a common side.

The two triangles have congruent angles between the sides that are not the common side.

The two triangles have congruent lengths for the sides adjacent to the congruent angles (the "included" side).

Thus,

The conditions to be added are:

The two triangles have congruent angles between the sides that are not the common side.

The two triangles have congruent lengths for the sides adjacent to the congruent angles.

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The probability that the next flip results in a head​ is 50% or 0.5.

We have,

Total number of coins tossed = 100

Number of heads outcome = 76

Number of tails outcome = 24

Now,

The probability of getting heads in the tossing of coins 100 times.

= 76/100

= 0.76

= 76%

Now,

Generally for an unbiased coin.

The probability of getting a head in tossing a coin is 50%.

So,

Based on the results of the first 100 coin tosses, even if the probability of getting a head is 76% the probability that the next flip results in a head is still 50%.

Thus,

The probability that the next flip results in a head​ is 50% or 0.5.

Learn more about probability here:

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Final answer:

The function t(x) with ordered pairs (0, 1), (1, 3), and (3, 27) most likely represents the exponential function because it shows rapidly increasing growth rates, which is a defining feature of exponential behavior.

Explanation:

The function that most likely represents the exponential function is the one whose growth rate increases significantly for larger values of x. Examining the ordered pairs, the function t(x), which passes through the points (0, 1), (1, 3), and (3, 27), clearly demonstrates this behavior as the increase between the y-values gets dramatically larger as x increases.

This is a classic characteristic of exponential growth. In contrast, the function p(x) that passes through (0, 2), (1, 3), (3, 11), (5, 27), and (6, 38) shows a more consistent increase in y-values as x increases, indicative of a quadratic function.

It is given in the question that

[tex]f(x) = 16x^5 -48x^4-8x^3 \ and \  g(x) = 8x^2[/tex]

And we have to find the value of

[tex]\frac{f(x)}{g(x)}[/tex]

Substituting the values of two functions, we will get

[tex]=\frac{16x^5 -48x^4 -8x^3}{8x^2}[/tex]

8x^3 is common in the numerator, and on taking it out, we will get

[tex]= \frac{8x^3(2x^2 -6x-1)}{8x^2} = x(2x^2 -6x-1)[/tex]

And that's the required answer .

Answer:  

-3

Step-by-step explanation:

The rate of change of function 2 is 3 times greater than the rate of change of function 1.

The rate of change of a function measures how much the output of the function changes when the input changes by 1 unit. In function 1, since the graph is a straight line, the rate of change is constant. We can find the rate of change of function 1 by finding the slope of the line, which represents the rate of change. In function 2, the equation is y = 3x + 1, so the rate of change is 3. Therefore, the rate of change of function 2 is 3 times greater than the rate of change of function 1.

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multiply 4 by the cos(45)

4 x cos(45) = 2sqrt(2) approximately 2.828cm

so depending how you are supposed to answer, either 2 sqrt(2) or approximately 2.83 cm

this has been asked at least 3 times so far today

 18/3*3 = 18/9 = 2

answer is 2

use AE and CE to find the angle

AE = 20, CE = 6

 so the angle FOR CAE = tan^-1(6/20) = 16.7 degrees

 to Find DF

a^2 = b^2 +c^2-2abcos(A)

a^2 = 10^2 + 14^2 -2(14)(10)cos(16.7)

a^2 = 30

sqrt((30)=5.47 rounded to 5.5

EF =

a^2 = b^2 +c^2-2abcos(A)

a^2 = 20^2 + 14^2 -2(14)(20)cos(16.7)

a^2 = 64

sqrt(64)=8

see the formula in the picture

R is larger diameter, r is smaller diameter