The principal spent $500 to buy new classroom materials. 40% of the money he spent went towards pencils. How much money did the principal spend on pencils?

Answer:

ok so if the bird is on the top at 15 and a half then goes down six feet substrate 15 and a half from six and you get nine and half from the ground to the bird

Step-by-step explanation:

Answer:

8+7=13-2

Step-by-step explanation:

8+7 = 15

13-2 = 11

Answer:

8+7 = 13 - 2

Step-by-step explanation:

8+7 is 15 and 13 - 2 is 11 so that should be your answer

Answer:

y = 3x + 4

Step-by-step explanation:

Given:

Coordinates

(-3 , -5)

Slope m = 3

Find;

Equation of slope

Computation:

Given, x1 = -3 and y1 = -5

Equation of slope = y - y1 = m(x - x1)

Equation of slope = y - (-5) = 3(x + 3)

Equation of slope = y + 5 = 3x + 9

Equation of slope = y = 3x + 9 - 5

Equation of slope = y = 3x + 4

y = 3x + 4

In probability plotting, a graph of the cumulative distribution function (CDF) is plotted against a transformed version of the data to determine if the data come from a particular distribution.

The distance between the two lines is equal to the product of the critical value of the t-distribution and the standard error estimate.

This can be used to analyze the times to failure (i.e., loss of acceptable sharpness) for a random selection of ten drill bits from a process that follows a Weibull distribution.

To estimate the shape and scale parameters

follow these steps:

Step 1: Rank the data from smallest to largest

Step 2: Calculate the failure probability of each data point using the formula: i/(n+1), where i is the rank of the data point and n is the number of data points.

Step 3: Transform the failure probabilities using the inverse Weibull distribution function: F^(-1)(p) = (−ln(1−p))^β for a given shape parameter β and scale parameter η.

Step 4: Plot the transformed data against the theoretical distribution, which is a straight line for the Weibull distribution.

Step 5: Find the best-fitting line by eye, or by using regression analysis.

The slope of the line is equal to the shape parameter β, and the intercept is equal to the logarithm of the scale parameter ln(η).

The Weibull distribution can be represented as:\(F(x) = 1 − e^(-(x/η)^β)\), where β is the shape parameter and η is the scale parameter. The CDF model corresponding to your parameter estimates can be plotted by using the formula . This can be done by calculating the standard deviation of the residuals, and then calculating the upper and lower limits of the confidence interval using the t-distribution.

The confidence interval can be calculated as:β ± t(n−2,α/2) x SE(β)ln(η) ± t(n−2,α/2) x SE(ln(η))where SE(β) is the standard error estimate for the shape parameter, SE(ln(η)) is the standard error estimate for the logarithm of the scale parameter, and t(n−2,α/2) is the critical value of the t-distribution with n−2 degrees of freedom and a significance level of α/2.The confidence limits can be plotted as two parallel lines around the best-fitting line. The distance between the two lines is equal to the product of the critical value of the t-distribution and the standard error estimate.

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Answer:

1 13/50

Step-by-step explanation:

4 1/5 * 3/10

Change the mixed number to an improper fraction

4 1/5 = (5*4+1)/5 = 21/5

21/5 *3/10

63/50

Changing back to a mixed number

1 13/50

Answer:

1 13/50

Step-by-step explanation:

4⅕ × 3/10

21/5 × 3/10

63/50

1 13/50

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence.

A sequence in mathematics is an ordered collection of numbers that is typically defined by a formula or rule. Every number in the series is referred to as a term, and its location within the sequence is referred to as its index. Depending on whether the list of terms stops or continues indefinitely, sequences can either be finite or infinite. By their patterns or uniformity, sequences can be categorised, and the study of sequences is crucial to many areas of mathematics, such as calculus, number theory, and combinatorics. Mathematical, geometrical, and Fibonacci sequences are a few examples of popular sequence types.

given

The sequence's terms are all different by 7 (i.e., 12 - 5 = 19 - 12 = 26 - 19 =... = 7).

The following is a definition of a recursive formula for the nth element of the sequence:

a 1 = 5 (the first term of the series is 5) (the first term of the sequence is 5)

For n > 1, each term is derived by adding 7 to the preceding term, so a n = a n-1 + 7.

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence. For instance, we have

a_2 = a_1 + 7 = 5 + 7 = 12

a_3 = a_2 + 7 = 12 + 7 = 19

a_4 = a_3 + 7 = 19 + 7 = 26

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The general solution of the differential equation is: y =\(c1x^9 + c2x^2\).

This is a Cauchy-Euler differential equation of the form:

\(x^5^y'' - 10x^5^y' + 18y = 0\)

To solve this equation, we assume a solution of the form\(y = x^r\), where r is some constant. We then take the first and second derivatives of y with respect to x:

y = \(x^r\)

y' = \(rx^(^r^-^1^)\)

y'' = \(r(r-1)x^(^r^-^2^)\)

Substituting these expressions into the differential equation, we get:

\(x^5^(^r^(^r^-^1^)x^(^r^-2^)^) - 10x^5(^r^x^(^r-^1)^) + 18(x^r^) = 0\)

Simplifying, we get:

\(r(r-1)x^r - 10rx^r + 18x^r = 0\)

\(x^r(r^2 - 10r + 18) = 0\)

Since \(x^r\) cannot be zero, we must have:

\(r^2 - 10r + 18 = 0\)

Solving this quadratic equation, we get:

r = 9 or r = 2

Therefore, the general solution of the differential equation is:

y = \(c1x^9 + c2x^2\)

where c1 and c2 are constants determined by initial or boundary conditions.

So this is the answer, and the steps are explained above.

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4:42 p.m

You start with 9:17 and you subtract 4 hours. That gives you 5:17. Now you have to subtract the remaining 35 minutes. To make things easy we can make 5:17, five o-clock. We can do this by subtracting 17 then you'll get five o-clock. Now you have another 28 minutes to subtract. 5:00 - 28 = 4:42. Then you add the p.m.

The probability that z lies between -2.41 and 0 is approximately 0.9911.

To find the probability that a standard normal variable, z, falls within a specific range, we can use the standard normal distribution table or a statistical calculator.

In this case, we want to find the probability that z lies between -2.41 and 0. By referencing the standard normal distribution table or using a calculator, we can determine the area under the curve corresponding to this range. The resulting value represents the probability of z falling within that range.

Approximately 0.9911 is the probability that z lies between -2.41 and 0 when rounded to four decimal places. This means that there is a high likelihood (approximately 99.11%) that a randomly chosen value of z from a standard normal distribution falls within this range.

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Answer:

I'm pretty sure it's -1 but correct me if I'm wrong

Answer: x=-1

Step-by-step explanation:

x=-1

because

2x - 10

over = 3x

4

we can put everything in parentheses and multiply by 4

2x - 10

4( over )= (3x) 4

4

The 4's on the left side will cancel out around and leave

2x - 10

on the right we multiply 3x x 4 which equals 12x

rewrite the equation

2x - 10 = 12x

subtract 2x on each side with the variable.

2x - 10 = 12x

-2x -2x

the 2x's on the left will cancel out.

on the right 12x - 2x equals 10x

now the equation is

-10=10x

but we are not done

divide 10 on each side

on the left -10/ 10 equals -1 because one number is negative and that does not give a postive result.

on the right 10x/ 10 the 10's cancel out leaving the varible x

we are left with

x=-1

Answer:36.48

Step-by-step explanation:

Answer:

First you need to set up an equation y = mx + b. m would be the monthly charge and b would be the one time fee. x represents the number of months.

To solve for the number of months with a total price of 240 we substitute 240 in for y and solve for x.

240 = 25x + 40

subtract 40 from each side

200= 25x

divide by 25

8 = x

8 months

10 + 7r = 45

7r = 35

r = 5

5 milesStep-by-step explanation:

The rate of change is 5.

The rate of change of anything is how rapidly it changes over time (ROC).

You must first create the equation

y = mx + b,

where m represents the monthly price and b represents the one-time cost. Months are represented by the number x.

We replace 240 for y and solve for x to find the total number of months at a price of 240.

40 is subtracted from either side of 240 = 25x + 40.

200 = 25x

25 divided

8 months equals 8.

10 + 7r = 45

7r = 35

r = 5

Therefore, 5 is the rate of change.

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Answer:

Step-by-step explanation:

8 I think

Answer:

Defination:

.the collection of distinct elements or members.

Step-by-step explanation:

Step-by-step explanation:

Hey there!

Given;

The triangle is a right angled triangle, whose one side is 26 and another side is X. It has also one angle that is 41°.

Now, taking reference angle as angle 41°. We get;

Perpendicular= 26

Base = X

and Reference angle = 41°.

We know that the ratio of tan is p/b. So, let's use this ratio.

\( \tan(41°) = \frac{26}{x} \)

\(0.869 \times x = 26\)

\(x = \frac{26}{0.869} \)

Therefore, The value of x is 29.90.

Hope it helps...

The total return will be $5611.8

A 2 year investment of $5,300 earns 2.9%

The investment is compounded annually

The total return can be calculated as follows

= 5300 (2.9/100 + 1)

= 5300 (0.029 + 1)

= 5300(1.029)²

= 5300(1.0588)

= $5611.8

Hence the total return is $5611.8

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Answer:

4 and (q − 18 + p)

Step-by-step explanation:

Given:

4(q−18+p)

The factors are

4 and (q − 18 + p)

A factor refers to something which is multiplied by something else. It could be a number, variable, term, or a longer expression.

For example. The factors of the expression 6x(y +2)

are 6, x and (y+2)

Step-by-step explanation:

4 × 11 = 44

44 × 9 = 396

therefore it is 396ft

Answer:

4 x 11 = 44

44 x 9 = 396

It will be 396 ft

Step-by-step explanation:

he distance between u and v is sqrt(6), or approximately 2.45 units. To find the distance between two points in Euclidean space, we can use the distance formula:

d(u, v) = sqrt((u1 - v1)^2 + (u2 - v2)^2 + (u3 - v3)^2)
Using the values given for u and v, we can plug them into the formula and simplify:
d(u, v) = sqrt((3 - 1)^2 + (1 - 2)^2 + (2 - 3)^2)
d(u, v) = sqrt(4 + 1 + 1)
d(u, v) = sqrt(6)
Therefore, the distance between u and v is sqrt(6), or approximately 2.45 units.
The distance formula is a fundamental concept in mathematics that is used to find the distance between two points in Euclidean space. This formula can be extended to n-dimensional space as well. In this case, we are given two points, u and v, that are in three-dimensional space. By plugging these values into the formula, we can calculate the distance between them. It is important to note that the distance between two points is always positive and symmetric, meaning that d(u, v) = d(v, u). Additionally, the distance formula can be used to calculate the distance between any two points in space, whether they are in the same plane or in different planes. Overall, understanding the distance formula is crucial for many mathematical applications, such as geometry, physics, and computer science.

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Answer:

Step-by-step explanation:

An equation in the point slope form of the line that passes through point (x₁,y₁) and has a slope of m, is: y - y₁ = m(x - x₁)

m = ¹/₄

(-2, 1)  ⇒   x₁ = -2,  y₁ = 1

Therefore, the equation in the point slope form of the line that passes through point (-2,1) and has a slope of ¹/₄ is:

y - 1 = ¹/₄(x - (-2))

y - 1 = ¹/₄(x + 2)

The equation that could be used to find the cost C of a ticket after L losses is (40.65-0.23L), the total change in the cost of a ticket after the team loses 23 games is and the price of the ticket after the team losses 23 games is .

According to the question,

We have the following information:

A ticket to see your favorite baseball team costs ​$40.42. That price decreases by ​$0.23 for every game lost during the regular season.

So, we have:

40.42, 40.19, 39.96, ....

Now, this series is an A.P. because we have a common difference of -0.23.

The nth term of the series:

an = a+(n-1)d

C = 40.42+(L-1)-0.23

C = 40.42-0.23L+0.23

C = 40.65-0.23L

Now, the price of the ticket after the team loses 23 games:

C = 40.65-0.23*23

C = 40.65-5.29

C = $ 35.36

Now, the change in the price:

40.42-35.36

$ 5.06

The price has been decreased by $5.06.

Hence, the equation that could be used to find the cost C of a ticket after L losses is (40.65-0.23L), the total change in the cost of a ticket after the team loses 23 games is decrease by $5.06 and the price of the ticket after the team losses 23 games is $35.36.

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Answer:

4th option / (-8,-4)

Step-by-step explanation:

If you graph the point (8,-2) and you translate if 6 units down and you look at your new point then that's how you get the answer.

Answer:A

Step-by-step explanation:

Answer:

B. 105 ÷ 7 = x

Step-by-step explanation:

Step 1:

105 candies ÷ 7 kids = x amount of candies per kids          Equation

Step 2:

105 ÷ 7        Divide

Answer:

x = 15      

Hope This Helps :)

The Reduction in the Price of Computer is $56.25

What is Percentage?

A percentage is a figure or ratio that may be stated as a fraction of 100 in mathematics. If we need to compute the percentage of a number, divide it by the entire and multiply by 100. As a result, the percentage denotes a part per hundred. The term 100% refers to one hundred percent. It is denoted by the sign "%".

Solution:

To solve this problem we need to find 15% of $375

15 * 375 / 100 = 56.25 $

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The sphere fits inside a cube with edges 12 inches long. We need to find the radius of the sphere and the volume of the space between the sphere and the cube. The answer is 823.2 cubic inches

To find the radius of the sphere, we can use the fact that the sphere just fits inside a cube with edges 12 inches long. Since the edges of the cube are equal to the diameter of the sphere, we can divide the edge length by 2 to get the radius.

Radius = Edge length / 2

Radius = 12 in / 2

Radius = 6 inches

Therefore, the radius of the sphere is 6 inches.

To calculate the volume of the space between the sphere and the cube, we need to subtract the volume of the sphere from the volume of the cube.

Volume of the sphere = (4/3) * π * Radius^3

Volume of the sphere = (4/3) * π * 6^3 ≈ 904.78 cubic inches

Volume of the cube = Edge length^3

Volume of the cube = 12^3 = 1728 cubic inches

Volume of space = Volume of the cube - Volume of the sphere

Volume of space = 1728 - 904.78 ≈ 823.22 cubic inches (rounded to the nearest tenth)

Therefore, the volume of the space between the sphere and the cube is approximately 823.2 cubic inches (rounded to the nearest tenth).

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Hence, the probability that at least one hunter will hit the correct duck will be 1 - (1 - 1/n)^n.As n increases, the probability of hitting the correct duck by a hunter approaches 1/e. So, the probability that at least one hunter hits the correct duck approaches 1 - 1/e.

The given situation is the classic example of the problem of Derangement.

According to this problem, there are n people in a room and they have their respective hats.

They all put their hats in a bag and then randomly pick up a hat from the bag.

The formula for the same is P(D) = 1 - (1/1! - 1/2! + 1/3! - ... + (-1)^n / n!), where n is the number of people in the room.

The above formula gives the probability of derangement. The situation given in the question is almost similar to that of the problem of Derangement.

The probability of hitting the correct duck by the hunter is 1/n. The probability that none of the hunters will hit the correct duck will be (1 - 1/n)^n.

Hence, the probability that at least one hunter will hit the correct duck will be 1 - (1 - 1/n)^n.

As n increases, the probability of hitting the correct duck by a hunter approaches 1/e.

Hence, the probability that at least one hunter will hit the correct duck will be 1 - (1 - 1/n)^n.

As n increases, the probability of hitting the correct duck by a hunter approaches 1/e.

So, the probability that at least one hunter hits the correct duck approaches 1 - 1/e.

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The expected value of the continuous random variable V is 5. The expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.

To calculate the expected value of a continuous random variable V with a given probability density function (PDF), we integrate the product of V and the PDF over its entire range.

The PDF of V is defined as:

f(v) = 6/24 = 0.25 for 3 ≤ v ≤ 7, and 0 otherwise.

The expected value of V, denoted as E(V), can be calculated as:

E(V) = ∫v * f(v) dv

To find the expected value, we integrate v * f(v) over the range where the PDF is non-zero, which is 3 to 7.

E(V) = ∫v * (0.25) dv, with the limits of integration from 3 to 7.

E(V) = (0.25) * ∫v dv, with the limits of integration from 3 to 7.

E(V) = (0.25) * [(v^2) / 2] evaluated from 3 to 7.

E(V) = (0.25) * [(7^2 / 2) - (3^2 / 2)].

E(V) = (0.25) * [(49 / 2) - (9 / 2)].

E(V) = (0.25) * (40 / 2).

E(V) = (0.25) * 20.

E(V) = 5.

Therefore, the expected value of the continuous random variable V is 5.

The expected value represents the average value or mean of the random variable V. It is the weighted average of all possible values of V, with each value weighted by its corresponding probability. In this case, the expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.

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Answer:

60miles

Step-by-step explanation:

Answer:

60 miles

Step-by-step explanation:

If he's going 30 miles/hour, then you just multiply 30 by 2.

Answer:

answer of 2a)

He started with $24 and spent $16. Let a represent his account balance after he bought the notebook and pens. Then

24–16=a

His new account balance is $8.

He has $8 in his account and then he deposited b dollars. His account balance is now $28. Then

8+b=28

His deposited $20 in his account.

He has $28 and spent $34. Let c represent his account balance after he bought the book. Then

28–34=c

His new account balance is -$6.

He started with an account balance of -$6 and paid the debt off so his account balance is 0. If d is the amount money he deposited to pay off his debt, then

−6+d=0

He deposited $6.

answer of 2b)

If he spends more than he has in his account, then we are subtracting a bigger number from a smaller number, and the result is negative. ... The opposite of a positive number is a negative number, so it makes sense to represent his account balance with a negative number when he owes money to the bookstore.

please give me brainliest:))

Answer:

−28 + 12 − 28

Step-by-step explanation:

mark me as brainliest

The value of dI/da can be obtained by using the chain rule, which states that dI/da = (dI/dt) / (da/dt).

Given that I_dt = Floo and y = cos(4t^2) and y_dt = -8t*sin(4t^2), we can solve for dI/da by finding da/dt when t = 5 and substituting the values in the formula.

Let's first apply the chain rule to the equation y = cos(4t^2) to find dy/dt:

dy/dt = -sin(4t^2) * d/dt (4t^2) = -8t*sin(4t^2)

Next, we can use the given value I_dt = Floo, which means that dI/dt = 1.

To find da/dt, we need to differentiate a with respect to t. However, the value of a is not given explicitly in the equation. Therefore, we need to use the given information that when t = 5, a = -7. This means that we can write the equation for a as follows:

a = 5t - 42

Taking the derivative of both sides with respect to t, we get:

da/dt = 5

Now we can substitute the values we have found into the formula for dI/da:

dI/da = (dI/dt) / (da/dt) = 1 / 5 = 1/5

Therefore, the exact value of dI/da is 1/5.

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