Find the length of BM.

1. Perimeter is 3 + 3 +3 +4 +5 = 18 feet

 Area = 3*3 = 9, 1/2*3*4 = 6, 9 + 6 =15 square feet

2. perimeter = 2.5 +2.5+ 2.5+2.5+0.5+0.5 = 11 meters

  Area = 3*.5 = 1.5, 3*2=6,  6+1.5 = 7.5 square meters

3. perimeter = 3.14*2*3 = 18.84 +8 = 26.8 inches

  Area = 6*4 = 24 + 3.14*3^2 = 28.26 = 28.26 +24 = 52.3 inches  

4. surface area = 2*π*6*20+2*π*6^2= 980.2 yards

Volume = π*6^2*20 = 2261.9 cubic yards

5.surface area = 2*(9*7+2*2+2*9) = 190 cm

Volume = 2*7*9 = 126 cubic cm

6. surface area = 2*(11*11+11*11+11*11) = 726 mm

 Volume = 11 *11*11 = 1331 cubic cm

The predicted population of Tanzania 5.5 years ago is approximately 46.1 million. This estimation is based on the current population, the population growth rate, and the formula for exponential population growth.

To predict the population of Tanzania 5.5 years ago, we need to use the population growth rate and the current population.

The formula for exponential population growth is:

P = P0 * e^(rt)

Where:

P = population after time t

P0 = initial population

r = growth rate (expressed as a decimal)

t = time in years

e = Euler's number (approximately 2.71828)

Given information:

Current population (P0) = 50.3 million

Growth rate (r) = 2.14% per year

Time (t) = -5.5 years (5.5 years ago)

Converting the growth rate to decimal form:

r = 2.14% = 0.0214

Substituting the values into the formula:

P = 50.3 million * e^(0.0214 * -5.5)

Calculating the exponential growth:

P = 50.3 million * e^(-0.1177)

P ≈ 46.1 million

Rounding the answer to one decimal place and expressing it in millions, the predicted population of Tanzania 5.5 years ago is approximately 46.1 million.

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Answer:

4n-2

Step-by-step explanation:

two less means its being subtracted from a number.

four times a number is 4 times n (number)

so 2 less than 4n is 4n-2

Answer:

4x - 2

Step-by-step explanation:

The anti-derivative of g(x) is G(x) = x3 + 3x2 and the anti-derivative of f(x) is F(x) = x2 + 2x.

Part a:

The value of the integral from 0 to 6 of f(x)dx is 16. This can be calculated using the Fundamental Theorem of Calculus (FTC) which states that the integral of a function is equal to the anti-derivative of that function evaluated at the upper limit minus the anti-derivative of that function evaluated at the lower limit. This can be written as:

∫f(x)dx = F(6) - F(0)

The anti-derivative of f(x) is F(x) = x2 + 2x, so the value of the integral is:

∫f(x)dx = (62 + 2*6) - (02 + 2*0) = 36 - 0 = 16.

Part b:

The value of the integral from 4 to 9 of g(x)dx is 20. This can be calculated using the FTC which states that the integral of a function is equal to the anti-derivative of that function evaluated at the upper limit minus the anti-derivative of that function evaluated at the lower limit. This can be written as:

∫g(x)dx = G(9) - G(4)

The anti-derivative of g(x) is G(x) = x3 + 3x2, so the value of the integral is:

∫g(x)dx = (93 + 3*9) - (43 + 3*4) = 729 - 168 = 20.

Part c:

The value of the integral from 4 to 9 of 2*g(x) - f(x)dx is 68. This can be calculated using the FTC which states that the integral of a function is equal to the anti-derivative of that function evaluated at the upper limit minus the anti-derivative of that function evaluated at the lower limit. This can be written as:

∫(2*g(x) - f(x))dx = 2*G(9) - F(9) - [2*G(4) - F(4)]

The anti-derivative of g(x) is G(x) = x3 + 3x2 and the anti-derivative of f(x) is F(x) = x2 + 2x, so the value of the integral is:

∫(2*g(x) - f(x))dx = (2*(93 + 3*9) - (92 + 2*9)) - [2*(43 + 3*4) - (42 + 2*4)]

= (1854 - 19) - (544 - 16) = 1735 - 528 = 68.

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Answer:

\(t = \frac{2-3q}{q+4}\)

Step-by-step explanation:

\(q = \frac{2-4t}{t+3}\\\\\)

Cross multiply,

q(t+3) = 2 - 4t        

Use distributive property: a*(b + c) =(a*b) + (a*c)

qt + 3q = 2- 4t

qt + 4t + 3q = 2

  qt + 4t     = 2 - 3q

    t(q + 4)  = 2 -3q

               \(t = \frac{2-3q}{q+4}\)

By solving a system of equations we will see that she has 9 quarters and 15 dimes.

Let's define the variables.

We know that Moolah has 24 coins, then:

d + q = 24

And the total value is $3.75, then:

q*0.25 + d*0.10 = 3.75

Then we can write the system of equations:

d + q = 24

q*0.25 + d*0.10 = 3.75

We can isolate d on the first equation to get:

d = 24 - q

Replacing that in the other equation we will get:

q*0.25 + (24 - q)*0.10 = 3.75

q*0.15 + 2.4 = 3.75

q*0.15 = 3.75 - 2.4

q*0.15 = 1.35

q = 1.35/0.15 = 9

So Moolah has 9 quarters and 15 dimes.

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Answer:

Let heads represent a person who exercises the given amount, and let tails represent a person who doesn’t. Because there are three people, flip the coin three times (once for each person) and note the results of each set of three flips. If all three flips land on tails, it would mean that all three randomly selected people do not exercise as much as 50% of Americans do.

Step-by-step explanation:

The fraction 1/4th of the animals at the Jackson Zoo are monkeys.

What is a fraction?

If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.

Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.

At the Jackson Zoo, 1/2 of the animals are primates

So if x is the total animals in that zoo, total primates are x/2.

Now out of them, 1/2 are monkeys i.e  1/2 of x/2

= x/4.

Hence 1/4 th fraction of the animals at the Jackson Zoo are monkeys.

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The palm tree is 21 feet tall.

To find the height of the palm tree, we can use the concept of similar triangles, where the ratio of corresponding sides is equal. In this case, the terms we need are Katie's height, her shadow length, the palm tree's shadow length, and the palm tree's height.

Step 1: Set up the proportion using the given information.
(Katie's Height / Katie's Shadow Length) = (Palm Tree Height / Palm Tree Shadow Length)

Step 2: Plug in the given values.
(6 ft / 2.5 ft) = (Palm Tree Height / 8.75 ft)

Step 3: Solve for Palm Tree Height.
(6 ft / 2.5 ft) * 8.75 ft = Palm Tree Height
2.4 * 8.75 ft = Palm Tree Height

Step 4: Calculate the height.
21 ft = Palm Tree Height

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Answer:

The decrease is 21%

Step-by-step explanation:

So lets say the Original area is Pi X (Radius^2)

Lets call Radius as R

For the new radius, it would be: R + 0.1R which is 1.1R

The new area is: Pi X 1.1R^2, which going further is 1.21 after squaring 1.1.

The Original area is: Pi X Radius^2

To find the percent decrease, subtract the new area by the original, cross out Pi X Radius squared and you are only left with 21%

I am in middle school so I don't know if it is going to be incorrect, but I ask you to give it a try and tell me if it was right or not. I have barely done this topic but recently I had a bonus homework question on a question almost exactly like this and this is the way I did it and I was correct. Thanks! Hope it helped! :)

Answer:

19%

Step-by-step explanation:

I got it correct in the rsm

Answer:

answer is D)10

Step-by-step explanation:

there's a square in the corner, and that tells you this angle is a right angle which is 90degrees

so 90-60=3x

30=3x

x=10

Answer:

A. 30

x=30

Step-by-step explanation:

That is a 90 degree angle. 90-60=30

Answer:

(-1,-4)

Step-by-step explanation:

The graph of a quadratic function is called a parabola. The vertex of the graph is, in this case, the bottom of the parabola.

If we look at the graph, we see that the vertex is located where

x = -1 and y = -4. Thus, the answer is (-1,-4).

Answer: -19.2

Step-by-step explanation:

Answer:

$825.28

Step-by-step explanation:

First, we need to calculate the 15% off sale:

870(0.85) = 739.50

Now, we will calculate and add on the sales tax:

739.50(1.116) = 825.28

So, the final price of the dresser will be $825.28

Hence, the total cost of the dresser is $ \(15.138\).

What is the percentage?

Percentages are generally defined as a ratio of any value to the whole value multiplied by \(100\).

The symbol used to represent the percentage is %. Percentage means a number or a ratio represented in the form of fractions of \(100\). It is represented using the percentage sign ‘%’.

Here given that,

A dresser is normally priced at $\(870\). ​ ​This weekend however, there is a sale where everything is \(15\)% off. ​ ​If the sales tax on items is \(11.6\)%,

Firstly we will calculate the \(15\)% off sale is

\(15\)%\(=\frac{15}{100}\\\\\)

\(15\)%\(=0.15\)

So,\(870(0.15) =130.5\)

Then,

\(\frac{11.6}{100}=0.116\) %

The sales tax on items is \(11.6\)% is

\(130.5(0.116)=15.138\) $

Hence, the total cost of the dresser is $ \(15.138\).

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Answer:

a

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Angle-Side-Angle. The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

The interpretation of the standard error of the mean is the amount of time it takes for students taking this statistics class to complete this multiple-choice assessment item would vary by 0.27 minutes.

The sample mean duration of time required to complete this question would normally deviate from the population mean by roughly 0.27 minutes if we randomly sampled a large number of students enrolled in this statistics course.

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The two numbers are x = 3.43 and y = 22.57.

What is a linear equation in two variables?

An equation is said to be a linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Let the first number be x and the second number be y. Then we can write the given information as a system of equations:

x + y = 26

(2/5)x + (3/8)y = 10

To solve this system, we can eliminate one of the variables by multiplying the first equation by 8 and the second equation by 5, then subtracting the resulting equations:

8x + 8y = 208

10x + 15y = 50

Subtracting these equations gives us:

-2x - 7y = -158

Dividing both sides by -7, we get:

x + y = 22.57

Substituting this back into the first equation, we get:

x + 22.57 = 26

Solving for x, we get:

x = 26 - 22.57

= 3.43

Substituting this back into the original equation x + y = 26, we get:

3.43 + y = 26

Solving for y, we get:

y = 26 - 3.43

= 22.57

Hence, the two numbers are x = 3.43 and y = 22.57.

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Equation of the direct variation described

a. g(t) = 25t + 80

b. The domain of the function is all non-negative real numbers, since time and the amount of water in the pool cannot be negative.

c. The range of the function is all values of g(t) such that g(t) >= 80 since the pool started with 80 gallons of water and only increased from there.

d. No, the function is not one-to-one, since multiple values of t can correspond to the same value of g(t). For example, both g(0) and g(1.84) are equal to 80.

e. Yes, the function is an example of direct variation, since the rate at which water is added to the pool is constant (25 gallons per minute) and directly proportional to the amount of time that has passed since 9 A.M. (t). This can be seen in the equation g(t) = 25t + 80, which is in the form of y = kx, where k is the constant rate of change.

This relationship is expressed mathematically through the equation g(t) = 25t + 80, where g(t) represents the number of gallons of water in the pool at time t. The constant term 80 represents the initial amount of water in the pool when Christina started adding water at 9 A.M., and the coefficient 25 represents the constant rate of change, or the number of gallons of water added per minute.

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Complete Question:

Write an equation of the direct variation described. At 9 A.M., Christina began to add water to a swimming pool at the rate of 25 gallons per minute. When she began, the pool contained 80 gallons of water. Christina stopped adding water to the pool at 4 P.M. Let be the number of gallons of water in the pool and  be the number of minutes that have past since 9 A.M.

a. Write an equation for g as a function of t

b. What is the domain of the function?

c. What is the range of the function?

d. Is the function one-to-one?

e. Is the function an example of direct variation? Explain why or why not.

Let's label the 8 questions as Q1, Q2, Q3, Q4, Q5, Q6, Q7, and Q8.

Let's label the 8 students as A, B, C, D, E, F, G, and H.

Since each problem has been correctly solved by exactly 5 students, we can say that the following is true:

Q1: A, B, C, D, E

Q2

Step-by-step explanation:

who has the problem gdjjsjegggshdgghdvdvvrbdhjlalalsleir

The three methods for the evaluation of the accuracy of a classifier are Hold-out method, Cross-validation, and Bootstrap. The major differences among the three methods are explained below:a) Hold-out method:This method divides the original dataset into two parts, a training set and a test set.

The training set is used to train the model, and the test set is used to evaluate the model's accuracy. The advantage of the hold-out method is that it is simple and easy to implement. The disadvantage is that it may have a high variance, meaning that the accuracy may vary depending on the particular training/test split.b) Cross-validation:This method involves dividing the original dataset into k equally sized parts, or folds. This process is repeated k times, with each fold used exactly once as the test set.

The advantage of cross-validation is that it provides a more accurate estimate of the model's accuracy than the hold-out method, as it uses all of the data for training and testing. The disadvantage is that it may be computationally expensive for large datasets, as it requires training and testing the model k times.c) Bootstrap:This method involves randomly sampling the original dataset with replacement to generate multiple datasets of the same size as the original. A model is trained on each of these datasets and tested on the remaining data.

In conclusion, the hold-out method is the simplest and easiest to implement, but may have a high variance. Cross-validation and bootstrap are more accurate methods, but may be computationally expensive for large datasets.

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Answer:

the median of th given data is 243

Given that △ABC and △DBE are similar triangles, the length of DB is: 25

The ratio if the corresponding sides of two triangles that are similar are the same, meaning, their sides are proportional.

Given that:

Thus:

Let DB = x

Therefore:

BD/BA = BE/CB

Substitute

x/(x + 5) = 10/12

Cross multiply

12x = 10x + 50

12x - 10x = 50

2x = 50

x = 25

Therefore, given that △ABC and △DBE are similar triangles, the length of DB is: 25

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Answer:

3

Step-by-step explanation:

Assuming that a regular triangle means an equilateral triangle, there are 3 lines of symmetry, by starting at the three angles of the triangle and drawing a line through the bisector of the side opposite to the angle.

Answer:

60 copies

Step-by-step explanation:

Answer: 60 copies

Step-by-step explanation:

Answer:

1500 is your answer

Step-by-step explanation:

Answer:

no hay numero entero y el decimal es un numero infinito.

Step-by-step explanation:

si dividimos 15/100 nos da un total de 3.333+ asi que no hay un numero entero que nos de este resultado