please help me find the answer if u can thanks

If there are currently 250,000 square miles of rainforest, then number of square miles of rainforest will happen in n years is, f = 250000(0.73)ⁿ

So option B is correct

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

The rainforest is currently decreasing at a rate of 27% per year

There are currently 250,000 square miles of rainforest

The number of square miles of rainforest will happen in n years = ?

The expression for remaining rainforest is,

after 1 year

f = 250000(1 - 0.27)

after 2 year

f = 250000(1 - 0.27)(1 - 0.27)

after 3 year

f = 250000(1 - 0.27)(1 - 0.27)(1 - 0.27)

Similarly

after n year

f = 250000(1 - 0.27)ⁿ

f = 250000(0.73)ⁿ

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Let n be a 5-digit number, and let q and r be the quotient and the remainder, respectively, when n is divided by 100. For(B) 8181 values of n is q + r divisible by 11.

5 digit Number:

A 5 digit number is a 5 digit number where the first digit is 1 or greater than 1 and the remaining digits can be any digit from 0 to 9. It starts at ten thousand (10,000) and goes up to 99,999 (99,999).

Given:

Let n be a 5-digit number, and let q and r be the quotient and the remainder, respectively, when n is divided by 100.

When a five digit number is divided by 100, we get first three digits as quotient and last two digits as remainder. Therefore q can be any integer from 100 to 999 and r can be from 0 to 99

So for each value of 9 x 100 = 900 , possible value will be q = 100/11 = 9

Now,

q + r ≡ 0 (mod 11) will be possible values of r.

Since there is one extra , 900 / 11 = = 81

Hence, q + r ≡ 0 (mod 11)

So, possible values of n such that q + r = 0(mod 11) is 9 x 100 + 1 x 81

So, it will be 8100 + 81 = 8181

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The degree of the measure of the exterior angle is 141 3/7°.

the term exterior angle in triangle is defined as angles that are parallel to the inner angles of a polygon but lie on the outside of it

Here we know that A square and a regular heptagon are coplanar and share a common side AD.

And then here we need to find each of the interior angle of the regular heptagon.

As we all know that here we have to use the formula that gives the interior angle measure for a regular polygon with any number of sides is 180(n-2)/n where n is the number of sides.

According to the given formula here we have a regular heptagon's interior angle measures is calculated as

=> 180(7-2)/7 = 128 4/7.

Here we also know that the angle A and D would be 128 4/7 degrees.

Here the next step is to Find angle BAC.

For that here we have to know that a square's interior angle is 90 degrees and a heptagon's is 128 4/7 degrees.

Now we have to subtract those from 360 degrees to find angle BAC then we get the expression like the following,

=> Angle BAC = 360 - (angle A + 90)

=> 360 - (128 4/7 + 90)

When we simplify this one then we get the resulting value as,

=> 360 - 218 4/7 = 141 3/7 degree

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As per the measures of given triangle, the measure of the third side is 65°

The term triangle in math is defined as a three-sided polygon, which has three vertices.

Here we have know that the three sides are connected with each other end to end at a point, which forms the angles of the triangle.

Here we have given that Geoffrey draws a triangle, one of the angles measure 75 and one of the angles measure 40

As we all know that the sum of all three angles of the triangle is equal to 180 degrees.

Then let us consider that the third side is x.

Then it can be calculated as,

=> 75 + 40 + x = 180

=> 115 + x = 180

=> x = 180 - 115

=> x = 65°

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A line graph is marked by a correlation in the form of a line. The dependent variable is placed on the y-axis and the independent variable is on the x-axis.

You can see their relationship in terms of the slope. By explanation, the slope is the ratio of the change of the y-coordinates to the change of the x-coordinates (Δy/Δx). Visually, you determine the relationship of the variables by the orientation of the line as shown in the graph. If the slope is increasing, means that the two variables are increasing together.

If the slope is decreasing, it means that when x increases, y decreases. In other words, they are inversely proportional.

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The complete question is:

How are line graphs used to show how two variables are related?

Therefore , the solution of the given problem of fraction comes out to be Stella makes 6 bows.

The definition of a fraction is a portion of a whole. A single object or a collection of objects might be the entire. When we cut a piece of cake in real life from the entire cake, the part represents the percent of the cake. The word "fraction" is derived from Latin. "Fractus" means "broken" in Latin. The fraction was expressed verbally in earlier times. It was afterwards presented in numerical form.

Here,

Given :

Take the amount of ribbon and divide by the amount needed per bow

5 1/3÷ 1/3

Change the mixed number to an improper fraction

(5*1 +1)/3 ÷1/3

6/3 ÷1/3

Copy dot flip

6/3 * 3/1

6

Stella makes 6 bows.

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To find the general solution of the given differential equation x dy/ dx − y = x^2 sin x, we must use a series of calculations.

First, we need to separate the variables, so y can be expressed as a function of x. To do this, we divide both sides of the equation by x, giving us the equation dy/dx = x sin x + y/x.

Next, we will need to use integration to find the general solution. To integrate, we need to find an antiderivative of the equation dy/dx = x sin x + y/x. To do this, we can use the formula ∫xdx = 1/2 x^2 + c. Using this formula, we can integrate both sides of the equation to get 1/2 x^2 + c = x sin x + ∫ y/x dx.

We can then solve for the antiderivative of y/x, which is ln|y| + c. Therefore, the general solution of the equation is 1/2 x^2 + ln|y| + c = x sin x + c.

Finally, we can solve for y in terms of x to get y = x^2 sin x + c'e^(1/2 x^2), where c' is the integration constant. This is the general solution of the given differential equation.

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Answer:

The graph looks like the image below.

Step-by-step explanation:

-2x means that every time x increases by 1, y increases by -2.

When y increases by -2, y decreases by 2.

Hence, as the x-value increases by 1, the y-value decreases by 2.

Also, the graph goes through the point (0, 0) since when x=0, y=0:

y=-2x ==> 0 = -2(0)

The four types of data in excel are text type, number type, logical and error type.

Excel data types are the four different kinds of values in Microsoft Excel. The four types of data are text, number, logical and error.

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The given system of equations  intersect in quadrant II at (-6,2)

What is linear equation ?

linear equation can be defined as the equation in which highest power is one.

Given system of equations,

y = (-1/3) x -4

y = (2/3) x + 2

In the first equation ,

y = (-1/3)x- 4

the 1st line slopes up with y intercept = -4

y = (2/3) x + 2

the 2nd line slopes down with y intercept = 2  

By equating the equations , we get

(-1/3) x -4 =  (2/3) x + 2

-4-2 = (2/3) x + (1/3) x

-6 = x

x = -6

By putting x = -6 in y = (-1/3) x -4

we get ,

y= (-1/3 ) -6 - 4

y = 2-4

y = -2

Hence, The given system of equations  intersect in quadrant II at (-6,2).

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Answer:

The slope is 17

Step-by-step explanation:

The slope in a point-slope form equation is always the coefficient of x, which in this case is 17.

Step-by-step explanation:

remember, to transform an equation we need to apply any operation to both sides of the equation. otherwise the equality relation is destroyed.

we want to get the equating to look like " x = ..."

so, the "+ 39" is in the way.

we need to subtract 39, but as mentioned, we need to do this on both sides.

x + 39 = 74

x + 39 - 39 = 74 - 39

x = 35 in

the fig tree is therefore 35 in. that is 39 in shorter than 74 in (the orange tree).

Answer:

$17.08

Step-by-step explanation:

Ok, so we know it takes 61-23 = 38 minutes of call to change the credit from $22.24 to $17.68.

Basically, it takes 43 minutes to lose 22.24 - 17.68 = $4.56

38 minutes - $4.56

5 minutes - $4.56 x 5 /38 = 0.6

I took 5 minutes because 5 + 61 = 66

Now, we know it takes 61 minutes for the person to have $17.68 remaining.

So, if we had 5 minutes, it becomes 17.68 - 0.6 = $17.08 remaining.

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Answer: 45°

Step-by-step explanation:

Let the angle be x and its complement be y

Also,

Complement = 1/3 × Supplement

So,

Supplement = 3 × Complement

                     = 3y

According to Question:

I.              x + y = 90°                          -----(1)

II.             x + 3y = 180°                       -----(2)

On subtracting eq (1) from (2) we get

               2y=90°

                 y=45°

Now, From eq (1)

                x + y = 90°  

                 x = 90° - 45°

                 x = 45°

∴ The angle is 45°

The average number of stamps collected per day was 24.

1st day: 8 stamps

2nd day: 8 + 8 = 16 stamps

3rd day: 16 + 16 = 32 stamps

4th day: 32 + 32 = 64 stamps

5th day: 64 + 64 = 128 stamps

Total number of stamps collected

= 8 + 16 + 32 + 64 + 128

= 248 stamps

Average number of stamps collected per day

= 248 / 5

= 24 stamps

Margaret started a stamp collection and collected 8 stamps on the first day. On the second day she collected 8 more stamps, for a total of 16. On the third day she collected 16 more stamps, for a total of 32. On the fourth day she collected 32 more stamps, for a total of 64. On the fifth day she collected 64 more stamps, for a total of 128. In total, she collected 248 stamps over the five days. The average number of stamps collected per day was 24.

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The variance of the murder rate data is approximately 4.83, and the standard deviation is approximately 2.20.

To find the variance and standard deviation of the murder rate data, we first need to find the mean (average) of the data.

Mean or average is the sum of all the data values divided by the number of data values. That is

[tex]Mean =\frac{( sum\ of\ all\ the\ data\ values)}{(number\ of\ data\ values)}[/tex]

To find the sum of all the data values we will use the midpoint of the class intervals and multiply it by the corresponding frequencies.

Midpoint of Class Interval = (Lower Class Limit + Upper Class Limit) / 2

For example, the midpoint of the first class interval, 5 - 11, is (5+11) / 2 = 8

The midpoint of the second class interval, 12 - 18, is (12+18) / 2 = 15

and so on.

So, the sum of all the data values is

(8 x 8) + (15 x 5) + (22 x 7) + (29 x 1) + (36 x 1) + (43 x 3) = 487

The number of data values is the sum of all the frequencies:

8 + 5 + 7 + 1 + 1 + 3 = 25

So, the mean is

487 / 25 = 19.48

Now we can use the mean to find the variance and standard deviation using the following formulas:

Variance = Σ(x - μ)^2 / n

Standard Deviation = √Variance

Where x is the midpoint of the class interval, μ is the mean, and n is the number of data values.

After calculation, the variance of the murder rate data is found to be approximately 4.83, and the standard deviation to be approximately 2.20.

--The question is incomplete, the complete question is as follows--

"The data represent the murder rate per 100,000 individuals in a sample of selected cities in the United States:

Class Interval 5 - 11 : Frequency 8

Class Interval 12 - 18 : Frequency 5

Class Interval 19 - 25 : Frequency 7

Class Interval 26 - 32 : Frequency 1

Class Interval 33 - 39 : Frequency 1

Class Interval 40 - 46 : Frequency 3

Find the variance and standard deviation. Round your answers to at least one decimal place."

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The common difference is 4. To find it, you subtract the first two terms (5 and 9) to get 4. You can then use this answer to find the common difference in the sequence by subtracting each consecutive term. For example, 9-5=4, then 13-9=4, and so on.

The common difference is an important part of any arithmetic sequence. It is the number that is added to each term in the sequence to generate the next term. For example, the first two terms of the sequence are 5 and 9. The common difference of 4 is added to the first term (5) to get the second term (9). The common difference is then added to the second term (9) to get the third term (13), and so on. This is how the sequence is generated.  

The common difference is an important tool for analyzing the behavior of an arithmetic sequence. Knowing a common difference allows you to determine the nth term of the sequence, as well as the sum of the first n terms. It also helps you to identify patterns in the sequence and make predictions about future terms. Knowing a common difference is an essential part of analyzing arithmetic sequences.

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Answer:

Step-by-step explanation:

80

Answer:

80

Step-by-step explanation:

To find 125% of 64, you can multiply 64 by 1.25.

125% of 64 = 64 x 1.25 = 80

So, 125% of 64 is 80.

We have to pay $129,216.31; $64,800.

Option (c) is correct.

Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods. It is the interest on interest, and it is the mechanism that causes an investment to grow at an exponential rate.

To calculate the amount of money you will have in the investment plan after 18 years, we can use the formula for compound interest:

A = P(1 + r)^n

Where:

A is the final amount (the future value)

P is the principal, or the initial deposit, in this case $300

r is the annual interest rate, in this case 7% (expressed as 0.07)

n is the number of years, in this case 18

m is the number of times the interest is compounded per year. in this case 12 (monthly)

By using this formula, the final amount will be:

A = 300(1 + 0.07/12)^(12*18)

A = $129,218.51

To compare this amount to the total deposits made over the time period, we can calculate the total amount of money deposited by multiplying the deposit amount ($300) by the number of deposits made per month (12) by the number of years (18).

Total deposit = 3001218 = $64,800

Hence, we have to pay $129,216.31; $64,800.

Option (c) is correct.

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Answer:

x = 25 degrees

Step-by-step explanation:

The sum of the angles of a triangle is always 180 degrees. Therefore, in a triangle with one angle measuring 130 degrees, the measures of the other two angles must add up to 180-130 = 50 degrees.

So, if the measures of the other two angles are x, the equation would be:

x + x = 50

This means that the measure of each angle is 50/2 = 25 degrees.

Therefore, in a triangle with one angle measuring 130 degrees, the measures of the other two angles are both 25 degrees.

Answer:

[tex]\sqrt{\sqrt{2} }[/tex]

Step-by-step explanation:

f(1)=3; f(1)=f(0)^2+1
f(0)=[tex]\sqrt{2}[/tex]=f(3)^2+0; f(3)^2=sqrt*2; f(3)=sqrt*sqrt2

The ratio of boys to girls in Ms. Cano's class is 7 to 21, there are 49 girls in the class. The total number of students in Mr. Cano's class is 196

Ratio:

In mathematics, ratios indicate the number of times one number contains another number. For example, if you have 8 oranges and 6 lemons in your fruit bowl, the ratio of oranges to lemons is 8 to 6 (that is, a ratio of 8:6, or 4:3). Similarly, the ratio of lemons to oranges is 6:8 (or 3:4) and the ratio of oranges to whole fruit is 8:14 (or 4:7). Ratios can be given by giving both constituent numbers written "a to b" or "a : b", or by giving only the value of their quotient a/b.

When comparing one data point (A) to another data point (B), the formula is A/B. That is, divide information A by information B. For example, if A is 5 and B is 10, the ratio is 5/10. Solve the equation. Divide data A by data B to get the ratio.

According to the Question:

Given:

The ratio of boys to girls is 7: 21,

and there are 49 boys,

Let number of boys be x and number of girls be y.

49/7 × 11 = 77 girls

Therefore,

Total number of boys and girls in the classroom is

77 + 49 = 126.

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The solution to the algebraic equation (a + 8/3) = 2/3 is given by a = -2

(a + 8/3) = 2/3

open parenthesis

a + 8/3 = 2/3

collect like terms

a = 2/3 - 8/3

a = (2-8) / 3

a = -6/3

a = - 2

Check:

(a + 8/3) = 2/3

-2 + 8/3 = 2/3

(-6+8) / 3 = 2/3

2/3 = 2/3

In conclusion, -2 is the solution to the unknown in the equation (a + 8/3) = 2/3

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Answer: because the mean is 48

Step-by-step explanation:

the average (mean) is 48 so therefore its reasonable that half scored under half scored higher

The measure of the angles of a triangle are 50°, 60°, 70°. The triangle is acute-angle triangle.

What is an acute angle?

An acute angle is one that is less than 90 degrees in length. This is a smaller angle than the right angle (which is equal to 90 degrees).

Given that the measure of the angles of a triangle are x, x+10, and x+20.

The sum of the interior angles of a triangle is 180°.

According to the question,

x+x+10+x+20 = 180°

3x + 30 = 180°

3x = 150°

Divide both sides by 3:

x = 50°.

Putting x = 50° in x, x+10, and x+20.

x =50° , x+10 = 60°, and x+20 =70°.

All angles of the triangle is 90°. Thus the triangle is an acute angle triangle.

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Answer: If 7 men can paint 42 square feet in a day, then we can say that each man paints 42/7 = 6 square feet per day.

If 20 men paint, then they would paint 20 * 6 = 120 square feet per day.

Step-by-step explanation:

Yes, it is possible to formed a right angled triangle with the measure of the sides 6cm, 10cm , and 8cm as it satisfied the Pythagoras theorem.

( 10 )² = ( 6 )² + ( 8 )².

As given in the question,

Measure of the sides of the given triangle is equal to :

6cm , 8cm , and 10cm.

In the given triangle longest side of the triangle is with measure 10cm.

Condition for a triangle to be right angled triangle is satisfied Pythagoras theorem given by :

Hypotenuse represent the longest side of the triangle.

(Hypotenuse) ² = ( base )² + ( Altitude )²

Right hand side

= ( 6 )² + ( 8 )²

= 36 + 64

= 100

= 10²

= (Longest side )²

It satisfied the Pythagoras theorem condition.

Therefore, the given sides measure of the triangle represents it is a right angled triangle satisfying Pythagoras theorem : ( 10 )² = ( 6 )² + ( 8 )².

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the expression can be simplified to V72√37x323 + V a√z.

V72x323 + Vz = V(72x323 + z)

Since the square roots contain two different terms, we cannot simplify them any further. However, we can remove any perfect squares that are contained inside the square roots. To do this we can factor out the perfect squares from the terms inside the square roots.

For the first square root, 72x323 = 72 x 9 x 37. Since 72 and 9 are both perfect squares, we can factor out these terms to get 72√37x323.

For the second square root, z = a2, where a is a positive real number. We can factor out the perfect square a2 to get a√z.

Therefore, the expression can be simplified to V72√37x323 + V a√z.

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Answer:im so sorry

Step-by-step explanation: