PLEASE HELP .. At the beginning of the school year, the number of students in the band was the same as the number of students in the choir. Throughout the school year, the number of students in the band decreased by 8, and the number of students in the choir decreased by 4. At the end of the school year, the number of students in the choir was 25% more than the number of students in the band. How many students were in the band at the beginning of the school year?

Answer:

B.)

Step-by-step explanation:

A rational number is a number with no repeating decimals or decimals that go on “forever” like pi.  An expample of a rational number is 2 where 2.3333333... is not a rational number.  Pi isn’t a rational number either since forth there is no known end to that.  

So, when solved:

A.) = 1.58113883...  (irrational)

B.) = -8 (rational)

C.) = 8.94427191... (irrational)

D.) = 3.794733192... (irrational)

I hope you see the pattern.  Hope this helps!

\(\qquad\qquad\huge\underline{{\sf Answer}}\)

The range for the given function is ~

\(\qquad \tt \dashrightarrow \: - 6 \leqslant y \leqslant 9\)

Because, maximum value of y is 9 and minimum value is -6. so range lies between these two points (including them).

Answer:

900,000

Step-by-step explanation:

The straight-line distance from the wilderness area to the Morrisons' campsite is approximately 5 miles.

To find the straight-line distance from the wilderness area to the Morrisons' campsite, we can use the Pythagorean theorem.

Let's consider the campsite as the origin (0, 0) on a coordinate plane. The wilderness area is located 3 miles due north and 4 miles due east from the campsite. Therefore, its coordinates are (4, 3).

Using the Pythagorean theorem, the straight-line distance d is given by:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Substituting the coordinates of the campsite (0, 0) and the wilderness area (4, 3) into the formula, we get:

d = √((4 - 0)² + (3 - 0)²)

= √(4² + 3²)

= √(16 + 9)

= √25

= 5

Therefore, the straight-line distance from the wilderness area to the Morrisons' campsite is approximately 5 miles.

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The smallest three-digit number divisible by the first three prime numbers (2, 3, and 5) and the first three composite numbers (4, 6, and 8) is 120.

The first three prime numbers are 2, 3, and 5. The first three composite numbers are 4, 6, and 8. In order for a number to be divisible by all six of these numbers, it must be divisible by their least common multiple (LCM).

The LCM of 2, 3, 5, 4, 6, and 8 is 120. Therefore, the smallest three-digit number divisible by the first three prime numbers and the first three composite numbers is 120.

Here is a more detailed explanation of how to calculate the LCM:

Find the prime factorization of each number.

Find the highest power of each prime factor.

Multiply the prime factors together, using the highest power for each factor.

The highest power of 2 that appears in any of the prime factorizations is 2^3.

The highest power of 3 that appears in any of the prime factorizations is 3^1.

The highest power of 5 that appears in any of the prime factorizations is 5^1.

Therefore, the LCM of 2, 3, 5, 4, 6, and 8 is 2^3 * 3^1 * 5^1 = 120.

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Answer:

5

Step-by-step explanation:

3(2x-5)-2=x+8

6x-15-2=x+8

6x-17=x+8

6x-x-17=8

5x-17=8

5x=8+17

5x=25

x=25/5

x=5

The number of lattice paths from (2, 1) to (24, 30) with a constraint of passing through (8, 10) but not (7, 7) or (16, 25) is a complex problem that requires a detailed mathematical calculation, that is explained below.

Lattice paths are sequences of steps in the form of up steps (U) and right steps (R) that connect two points in a grid. The number of lattice paths from one point to another can be calculated using combinatorics.

To determine the number of lattice paths from (2, 1) to (24, 30) that pass through the point (8, 10) but do not pass through either of the points (7, 7) and (16, 25), we need to calculate the total number of paths and subtract the number of paths that pass through the restricted points.

Let's call the total number of paths T, the number of paths that pass through (8, 10) P, the number of paths that pass through (7, 7) Q, and the number of paths that pass through (16, 25) R.

The number of paths from (2, 1) to (8, 10) is given by the binomial coefficient C(10 - 1, 8 - 2) = C(9, 6) = 84.

The number of paths from (8, 10) to (24, 30) is given by the binomial coefficient C(30 - 10, 24 - 8) = C(20, 16) = 18564.

The number of paths from (2, 1) to (24, 30) that pass through (8, 10) is given by T = P = 84 * 18564 = 1,547,136.

Similarly, the number of paths from (2, 1) to (7, 7) is given by the binomial coefficient C(7 - 1, 7 - 2) = C(6, 5) = 15.

The number of paths from (7, 7) to (24, 30) is given by the binomial coefficient C(30 - 7, 24 - 7) = C(23, 17) = 9,139,554.

The number of paths from (2, 1) to (24, 30) that pass through (7, 7) is given by Q = 15 * 9139554 = 137,093,310.

The number of paths from (2, 1) to (16, 25) is given by the binomial coefficient C(25 - 1, 16 - 2) = C(24, 14) = 3003.

The number of paths from (16, 25) to (24, 30) is given by the binomial coefficient C(30 - 25, 24 - 16) = C(5, 8) = 70.

The number of paths from (2, 1) to (24, 30) that pass through (16, 25) is given by R = 3003 * 70 = 210,210.

Finally, the number of paths from (2, 1) to (24, 30) that pass through (8, 10) but do not pass through either of the points (7, 7) and (16, 25) is T - P - Q - R = 1547136 - 137,093,310 - 210,210 = -135,599,384.

The number of lattice paths from (2, 1) to (24, 30) that pass through (8, 10) but do not pass through either of the points (7, 7) and (16, 25) is zero, as the result is negative.

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Bar graph. This type of graph is ideal for comparing the number of sneakers sold by brand, as it clearly displays the numerical differences between them. It is also easy to interpret and visually appealing.

A bar graph is the best choice for displaying the number of sneakers sold by brand for the month. Bar graphs are used to compare data and show the differences between them. Each brand would be represented by its own bar, and the length of each bar would be determined by the number of sneakers sold. The bars can be labeled with the brand's name, and a numerical scale would be used at the bottom of the graph to indicate the number of sneakers sold. The data can be organized by either the number of sneakers sold (descending) or by the brand name (alphabetically). The bar graph would be easy to interpret and visually appealing. It is also a great way to compare the performance of different brands in a given period.

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The solution to the system of equations in this problem is given as follows:

The system of equations for this problem is defined as follows:

From the first equation, we have that:

ab^6 = 42

a = 42/(b^6)

a = 42b^(-6).

Replacing on the second equation, we have that the value of b is obtained as follows:

15 = 42b^(-6) x b^9

15 = 42b³

b = (15/42)^(1/3)

b = 0.71.

Then the value of a is obtained as follows:

a = 42 x (0.71)^(-6)

a = 327.9.

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Answer:

the answer is $4968

Step-by-step explanation:

$184 x 27= 4968

Answer:

you would do this 27 x 184 = and get the answer which is $4968.

Step-by-step explanation:

hope it helps.

The standard deviation for the total portfolio returns can be calculated using the weighted average of the standard deviations of the index fund and the risk-free asset. The standard deviation for the total portfolio returns is 10.5%.


The standard deviation of a portfolio measures the variability or risk associated with the portfolio's returns. In this case, the portfolio is 70% invested in an index fund (with a standard deviation of returns of 15%) and 30% invested in a risk-free asset.

To calculate the standard deviation of the total portfolio returns, we use the weighted average formula:

Standard deviation of portfolio returns = √[(Weight of index fund * Standard deviation of index fund)^2 + (Weight of risk-free asset * Standard deviation of risk-free asset)^2 + 2 * (Weight of index fund * Weight of risk-free asset * 1Covariance  between index fund and risk-free asset)]

Since the risk-free asset has a standard deviation of zero (as it is risk-free), the second term in the formula becomes zero. Additionally, the covariance between the index fund and the risk-free asset is also zero because they are independent. Therefore, the formula simplifies to:

Standard deviation of portfolio returns = Weight of index fund * Standard deviation of index fund

Plugging in the values, we get:

Standard deviation of portfolio returns = 0.70 * 15% = 10.5%

Hence, the standard deviation for the total portfolio returns is 10.5%. This means that the total portfolio's returns are expected to have a variability or risk represented by this standard deviation.

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Answer:

Step-by-step explanation:

PLEASE HELP EMERGENCY!!

Given f(x) = x2 – 10x + k, and the remainder

when f(x) is divided by x + 2 is 32, then what is

the value of k?

Answer:

b.300cm

Step-by-step explanation:

Molly conjectured that for any number x greater than 0, x^3 is always greater than 3x^3. However, we need to find a counterexample that disproves her conjecture. We can test the given values -5, 0, 2, and 10 to see if any of them satisfy the inequality.

To determine a counterexample, we substitute the values -5, 0, 2, and 10 into the inequality x^3 > 3x and check if the inequality holds true for any of them.

For -5, we have (-5)^3 = -125 and 3(-5) = -15. Since -125 is not greater than -15, -5 is not a counterexample.

For 0, we have 0^3 = 0 and 3(0) = 0. Since 0 is not greater than 0, 0 is not a counterexample.

For 2, we have 2^3 = 8 and 3(2) = 6. Since 8 is greater than 6, 2 is not a counterexample.

For 10, we have 10^3 = 1000 and 3(10) = 30. Since 1000 is greater than 30, 10 is a counterexample.

Therefore, the value 10 is a counterexample to Molly's conjecture, as it satisfies the inequality x^3 > 3x.

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Answer:

\({ \red{ \bold{ = 1 \times 10 {}^{4}}}}\)

Step-by-step explanation:

Step 1: Write the initial number as a product of its first digit and matching place value

\( {\red {\bold{10 \: 000 = 1 \times 10 \: 000}}}\)

Step 2: Write 10000 as 10 to the power of 4

\({ \boxed{ \red{ \bold{10 \: 000 = 1 \times 10 {}^{4}}}}}\)

Hence, This is the expanded form with exponents of the initial number !

Answer:

∠1 = 73

∠2 = 107

∠4 = 107

Step-by-step explanation:

∠1 and ∠3 are vertical angles

Vertical angles are congruent

Which means that because ∠3 = 73°, ∠1 also equals 73°

∠2 and ∠3 are supplementary angles

supplementary angles add up to equal 180

Thus, ∠2 + ∠3 = 180

If ∠3 = 73° then ∠2 + 73 = 180

180 - 73 = 107

Hence, ∠2 = 107

∠2 and ∠4 are vertical angles

Like stated previously vertical angles are congruent

Which means that because ∠2 = 107°, ∠4 also equals 107°

Answer:

10

Step-by-step explanation:

48-20=28

28-18=10

that is how I see it at least

Answer:

The height of the tree to the nearest foot is 75.

Step-by-step explanation:

The height is opposite the angle of elevation, and the 45 ft distance to the tree is adjacent to it.

tangent = opposite/adjacent

\(\frac{tan(59)}{1} = \frac{h}{45}\)

h = tan(59) * 45

h ≈ 74.89

To the nearest foot, 74.89 is 75 ft.

The function value at the minimum is -9

The function is given as:

f(x) = x^2 - 6x

Differentiate the function

So, we have

f'(x) = 2x - 6

Set the function to 0

So, we have

2x - 6 = 0

This gives

2x = 6

Divide by 2

x = 3

Substitute x = 3 in f(x) = x^2 - 6x

f(3) = 3^2 - 6(3)

Evaluate

f(3) = -9

Hence, the function value at the minimum is -9

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Answer:

The m is 16 so you do 2 x 16 which is 32 + 7

Step-by-step explanation:

16x2=32 + 7 = 39

Answer:

39

Step-by-step explanation:

whereas: m =16

n =7

2m+n

2×16+7

32+7

39

Step-by-step explanation:

11 cm, 6 cm, 17 cm

Answer::

11cm, 6cm, 17cm

step by step explanation:

the correct answer is 11cm 6cm and 17cm

because in a right angled triangle, the square of the hypothenus is equal to the square of the sum of the other two sides

hypothenus= 17cm other two sides=11cm and 6cm

Answer:

Option D is correct.

A voluntary response error was made in this design. This type of sampling only targets those who are passionate about a specific act and call in to vote; it is not a good representation of the population.

Step-by-step explanation:

When humans are given the choice whether to participate in a survey like in this question, most often than not, the survey becomes biased.

This is because only the people or set of people who feel strongly the most about the subject matter of the poll will participate in the survey. This favours the group that disagrees as this group, if given the choice to express their opinion, will most likely be the set of people that will readily express their discontent.

Discontent is more visibly and strongly expressed in humans.

In order to remove this bias, people should have been chosen at random and their responses recorded.

Hope this Helps!!!

Answer:im not sure i wish i can help but goodluck

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

First picture:

So first i split it apart and as you can see if you divide by 11 then you divide everything.

Into three 11

Second picture:

Because we know if you time 11 three times it equals to 1331, so yea but on the top it says 3 and on the radical it also says three, you can cross it out so its 11.

Hope you could read my write :)

It was also right for khan academy so if you wanna do that its right :)

Brainliest please?

There are total 8000000 phone numbers which don't start with 0 or 1.

The first can’t be 0 or 1 so that means that it can be 2,3,4,5,6,7,8,9 which is 8 numbers

Now we have settle what the first digit can or can’t be, there are 6 numbers left.

Because there are no more restrictions for phone numbers that don’t work (first digit can’t be one or zero was the only restriction) . when you are counting the amount of numbers between let’s say a and b inclusive, the amount of numbers between them inclusive is |a-b| +1. Example : The amount of numbers between 2 and 13 inclusive is just |2–13|+1 which is 12. 2,3,4,5,6,7,8,9,10,11,12,13 is 12 numbers so |a-b|+1 works for the amount of numbers between a and b inclusive.

There are, 999999–000000+1 means there are 1000000 or 1 million possible 6 digit numbers. But that’s not the answer to the problem because each 1 of those 1 million 6 digit numbers needs a 7th digit which and be any number from 2–8 . This means that you need to multiply 1000000 by 8 to get 8 million possible phone numbers. If your wondering why I multiplied by 8, let’s say the number abcdef is one of the possible 6 digit numbers. If you add a 7th digit 2–9 to our number abcdef, then our number abcdef can be 2abcdef, 3abcdef, 4abcdef, 5abcdef, 6abcdef, 7abcdef, 8abcdef, 9abcdef.

Just a quick side note for any misconceptions, when I say the number abcdef, I don’t mean a times b times c times d times e times f, I mean a is the number in the hundred thousands place, b is the number in the 10 thousands place, c is the number in the thousands place, d is the number in the hundreds place, e is the number in the tens place, f is the number in the ones place.

Back to the problem, because there are 8 possible numbers for the 7th digit  you need to multiply the 1000000 different 6 numbers by 8 because each of those numbers has 8 variations.

Therefore, there are 8*1000000 or 8 million different phone numbers whose digits aren’t 0 or 1.

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The given series is sum_{n=1}^{\infty} (-7)sin (4n).
To test the series for convergence or divergence, we need to use the Divergence Test. This test states that if the limit of the absolute value of the terms in the series is a positive real number, then the series diverges; if the limit is 0, then the series converges.

To apply the test, we take the limit of the absolute value of the terms in the series: lim_{n to infty} left|(-7)sin (4n)right= -7dot lim_{n to infty} leftsin (4n)right= 7dot 0 = 0.
Since the limit of the absolute value of the terms in the series is 0, the series converges.

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The correct option is c. no, because its determinant is zero.

A square matrix is said to be invertible when and only when the determinant is not exactly zero.

A matrix is an rectangular array or table that contains numbers, signs, or expressions structured in rows and columns and is used to depict a mathematical object or a property of one.

The matrix is given as,

\(A=\left[\begin{array}{cc}6 & -4 \\-9 & 6\end{array}\right]\)

Calculate the determinant of the matrix.

D = ( 6 x 6 ) - ( -9 x -4 )

D = ( 36 - 36 )

D = 0

The matrix's determinant is zero in this case. As a result, the matrix cannot be inverted.

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The complete question is-

Select the correct answer.

justify whether matrix a is invertible.

\(A=\left[\begin{array}{cc}6 & -4 \\-9 & 6\end{array}\right]\)

a. yes, because its determinant is not equal to zero.

b. yes, because its determinant is greater than zero.

c. no, because its determinant is zero.

d. no, because its determinant is less than zero. e. no, because its determinant is not equal to zero.

Answer:

The answer is 6 marbels.

Hope this helps!

The multiplication equation to find 5 divided by 1/3 is 5 x 3 = 15.

The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.

At an elementary level the division of two natural numbers is, among other possible interpretations, the process of calculating the number of times one number is contained within another.

Unlike the other basic operations, when dividing natural numbers there is sometimes a remainder that will not go evenly into the dividend.

Division has two parts dividend and divisor.

Division is not commutative, meaning that a / b is not always equal to b / a.

Division is also not, in general, associative.

Division is traditionally considered as left-associative.

Division is right-distributive over addition and subtraction.

Division is shown in algebra and science by placing the dividend over the divisor with a horizontal line, also called a fraction bar, between them. For example, "a divided by b" can written as:

a/b

Now it is given that,

5 divided by 1/3

This can be expressed as,

5 divided by 1/3 = 5 ÷ 1/3

Since to convert the division of fraction into multiplication, we reciprocate the fraction

So, applying division we get,

5 ÷ 1/3 = 5 x 3

So, the multiplication equation is,

5 x 3

Now multiplying 5 and 3 we get,

5 x 3 = 15

this is the required multiplication equation of 5 divided by 1/3.

Thus, the multiplication equation to find 5 divided by 1/3 is 5 x 3 = 15.

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