In September, a website had 11,513 visitors. In October, the website had 23,190 more visitors than it did in September. The website had the same number of visitors in November as it did in October. How many visitors did the website have in September, October, and November combined?

80 is the greatest common factor .

What is a factor in math?

A number or algebraic expression that divides another evenly, i.e. without leaving a residue, is referred to in mathematics as a factor. For instance, the precise values of 12 3 = 4 and 12 6 = 2 show that 3 and 6 are factors of 12. 1, 2, 4, and 12 are additional factors of 12.

the prime factorization of 400

400 = 2 × 2 × 2 × 2 × 5 × 5

the prime factorization of 560

560 = 2 × 2 × 2 × 2 × 5 × 7

the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 2 × 2 × 2 × 5

GCF = 80

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Answer: 34.64

Step-by-step explanation: you multiply 10 and 2 and that gives you 20 and then u square root 20 and 3 and you get your answer.

The tortoise won the race.To determine who won the race and by how much, we need to compare the distances traveled by the hare and the tortoise within 1 hour.

The distance traveled by the hare, H(t), is given by integrating its speed function over the time interval [0, 1]:
\[D_H = \int_{0}^{1} H(t) dt = \int_{0}^{1} \left(\frac{1}{2} - \frac{1}{2}\cos(2\pi t)\right) dt\]

Evaluating the integral:
\[D_H = \left[\frac{1}{2}t - \frac{1}{4\pi}\sin(2\pi t)\right]_0^1 = \frac{1}{2} - \frac{1}{4\pi}\sin(2\pi) - \left(0 - \frac{1}{4\pi}\sin(0)\right)\]
\[D_H = \frac{1}{2} - \frac{1}{4\pi}\sin(2\pi) = \frac{1}{2}\]

The distance traveled by the tortoise, T(t), is obtained by integrating its speed function over the time interval [0, 1]:
\[D_T = \int_{0}^{1} T(t) dt = \int_{0}^{1} \sqrt{t} dt\]

Evaluating the integral:
\[D_T = \left[\frac{2}{3}t^{3/2}\right]_0^1 = \frac{2}{3} - 0 = \frac{2}{3}\]

Comparing the distances traveled, we find that \(D_H = \frac{1}{2}\) and \(D_T = \frac{2}{3}\). Therefore, the tortoise won the race by \(\frac{2}{3} - \frac{1}{2} = \frac{1}{6}\) of a kilometer.:

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The length of the each side of the square garden of Jessica is found as 10.77 ft.

For the given question,

Jessica is making a square garden in her backyard.

The compost bought is to cover the area of the 116 ft².

The formula for the area is given as;

A = s² , where s is the length of the side of the square.

Put the values.

116 = s²

Taking square root both side.

s = √116

s = 10.77

Thus, the length of the each side of the square garden of Jessica is found as 10.77 ft.

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Answer:

-2

Step-by-step explanation:

At first, you might think that -5 is bigger than -2 because 5 > 2, right? Actually, no, that's not how it works. The "rules" for numbers are flipped when you are dealing with negative numbers, so therefore, -2 is bigger. Basically, what I'm saying is that the smaller the number after the negative sign, the bigger the number is and vice versa.

Answer:

Answer is - 2

Step-by-step explanation:

Because in case of negative numbers the number which is smaller in negative no is bigger in negative

numbers I hope you understand....Mark me as brainliest

The value of probability will give you the likelihood of obtaining 9 or fewer students who say they like fruit for lunch in a sample of size 40, assuming a true population proportion of 0.30.

To determine the likelihood of obtaining 9 or fewer students who say they like fruit for lunch in a sample of size 40, we need to use the binomial distribution.

Given that the true population proportion is 0.30, we can consider this as the probability of success, denoted as p. The probability of a student saying they like fruit for lunch is 0.30.

The sample size is 40, denoted as n.

Now we can calculate the probability using the binomial distribution formula:

P(X ≤ 9) = Σ (from k = 0 to 9) [nCk * p^k * (1 - p)^(n - k)]

Where:

P(X ≤ 9) is the probability of having 9 or fewer students say they like fruit for lunch.

nCk is the number of combinations of choosing k successes out of n trials.

p^k is the probability of k successes.

(1 - p)^(n - k) is the probability of (n - k) failures.

Using statistical software or a calculator, you can compute the probability. Alternatively, you can use the cumulative distribution function (CDF) for the binomial distribution.

For example, in R programming language, you can use the function pbinom() to calculate the probability:

p <- 0.30

n <- 40

probability <- pbinom(9, n, p)

The value of probability will give you the likelihood of obtaining 9 or fewer students who say they like fruit for lunch in a sample of size 40, assuming a true population proportion of 0.30.

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Answer:

answer for qn 10, 11, 12 is C, F, I, L

answer for 14, 15, 16 is A, E, G

Step-by-step explanation:

for angles larger than 90⁰ its considered obtuse

angles smaller than 90⁰ its called acute

right angles are 90⁰

Answer:

2400 grams

Step-by-step explanation:

The bears are fed from a 4 kg bucket each day. If the bears eat 3/5 of that bucket, therefore, the amount of fish that the bears eat is:

3 / 5 * 4 = 2.4 kg

Converting this to grams:

1 kg = 1000 g

2.4 kg = 2.4 * 1000 = 2400 grams

The bears feed is 2400 grams

Answer:

\(12/19\)

Step-by-step explanation:

When multiplying fractions, just multiply the numerator and the denominator. In this case, a whole number, or 3 is also known as \(3/1\).

\(\frac{4}{19} * \frac{3}{1}\)

You will get 12 for the numerator and 19 as the denominator.

Answer:

(7, -1)

Step-by-step explanation:

3x + 7y = 14

y = x - 8

3x + 7(x - 8) = 14

3x + 7x - 56 = 14

10x - 56 = 14

Add 56 to both sides.

10x = 70

Divide both sides by 10.

x = 7

3(7) + 7y = 14

21 + 7y = 14

Subtract 21 from both sides.

7y = -7

Divide both sides by 7.

y = -1

(7, -1)

The fair return for Castle Black Camping (CBC) is 20%.

This is calculated by subtracting the risk-free rate (2%) from the market's expected return (11%), and then multiplying the result by 2 (since CBC is twice as risky as the average stock).

To form a portfolio that is half Harlan County Safety Co. (HCSC) and half CBC, we need to calculate the portfolio's beta. This is done by multiplying each stock's beta by its weight in the portfolio, and then adding the results. In this case, the portfolio's beta would be 0.6 (1.2 x 0.5 + 2 x 0.5).

The fair return for the portfolio is then calculated by adding the risk-free rate to the product of the portfolio's beta and the market's expected return. This gives us a fair return of 16.4% for the HCSC and CBC portfolio.

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The book is opened to pages 11 and 12.

How to get the product of the page

x * (x + 1) = 132

Expanding the equation, we get:

x² + x = 132

To solve for x, we need to rewrite the equation as a quadratic equation:

x²+ x - 132 = 0

Now, we can factor the quadratic equation:

(x - 11)(x + 12) = 0

This equation has two solutions for x:

x = 11

x = -12

Since page numbers cannot be negative, we discard the second solution. Thus, the left-hand page number is 11, and the right-hand page number is 11 + 1 = 12.

So, the book is opened to pages 11 and 12.

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Answer:

$7875

Step-by-step explanation:

Interest is calculated by the formula: I = Prt

I (interest)

P (principle)

r (rate)

t (time)

Substitute

I = (7000)(0.075)(15)

I = 7875

Thus, our interest is $7875

The slope of the line is -1.

Given is a line we need to find the slope,

The line passing through (0, 1) and (1, 0).

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by = y₂ - y₁ / x₂ - x₁

Here, (x₁, y₁) and (x₂, y₂) = (0, 1) and (1, 0)

So,

Slope = 0-1 / 1-0 = -1.

We know that,

The greater the slope, the greater the rate of change.

Hence the slope of the line is -1.

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Let Xk be independent and normally distributed with common mean 22 and standard deviation 11 (so their common variance is 1.1.). The value of p(-[infinity] ≤ ∑k=181 Xk ≤ 172.89) ≈ 0.0265.

The common variance of independent and normally distributed random variables with a common mean can be computed with the formula

σ² = Var[Xk]

= 1.1.

This can be solved by finding the standard deviation, which is equal to the square root of the variance as

σ = sqrt(1.1)

= 1.0488.

The sum of the independent and identically distributed normal random variables can be expressed as a normal random variable with a mean equal to the sum of the individual means and a variance equal to the sum of the individual variances.

Thus, we can express this random variable as ∑k=181 Xk ~ N(22 * 181, 1.1 * 181).

To solve the given problem, we need to compute the probability that the sum of the random variables lies between -infinity and 172.89.

Since the sum of normal random variables follows the normal distribution, we can standardize the sum by subtracting the mean and dividing by the standard deviation.

Let Z be the standardized random variable.

Then Z = (X - μ)/σ

Z = (∑k=181 Xk - μ)/σ, where μ = 22 * 181 and σ = sqrt(1.1 * 181).

We need to compute P(-infinity ≤ Z ≤ (172.89 - μ)/σ) = P(Z ≤ (172.89 - μ)/σ) .

Since the standard normal distribution is symmetric about zero.

This can be solved using standard normal tables or a calculator to obtain P(Z ≤ -1.9309) ≈ 0.0265 (rounded to four decimal places).

Therefore, p(-[infinity] ≤ ∑k=181 Xk ≤ 172.89) ≈ 0.0265 (rounded to four decimal places).

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Answer:

12709 balls

Step-by-step explanation:

Given

Dimension of Room = 15 ft by 20 ft by 10 ft

Diameter of Ball = 9.2 inches

Required

Determine the number of balls that can be occupied by the room

First, we need to calculate the volume of the room

This is done by multiplying the dimensions of the room

\(Volume = 15ft * 20ft * 10ft\)

\(Volume = 3000ft^3\)

Next, we calculate the volume of the ball.

The ball is a sphere.

So:

\(Volume = \frac{4}{3}\pi r^3\)

Where

\(r = \frac{1}{2} * Diameter\)

\(r = \frac{1}{2} * 9.2\)

\(r = 4.6\ in\)

So:

\(Volume = \frac{4}{3}\ * \frac{22}{7} * (4.6in)^3\)

\(Volume = 407.88419\ in^3\)

To calculate the number of balls, we then divide the volume of the room by volume of a ball

\(Balls = \frac{3000\ ft^3}{407.88419\ in^3}\)

Convert ft^3 to in^3

\(Balls = \frac{3000 * 1728in^3}{407.88419\ in^3}\)

\(Balls = \frac{3000 * 1728}{407.88419}\)

\(Balls = \frac{5184000}{407.88419}\)

\(Balls = 12709.4899167\)

\(Balls = 12709\) -- approximated

Hence, the room will contain 12709 balls

Answer:

The answer is

m<p =66°21'14"

m<R =37°38'46"

PR =28,6

Step-by-step explanation:

\( {pr}^{2} = {18}^{2} + {27}^{2} - 2 \times 18 \times 27 \cos(76) = 817.85 \\ pr = 28.6 \\ \cos(p) = \frac{ {18}^{2} + {28.6}^{2} - { {27}^{2} } }{2 \times 18 \times 28.6 } = 0.4 \\ m < p = 66.42 \\ m < r = 180 - 76 - 66.42 = 37.58\)

Answer:

\(V_f=450ml/hr\)

Step-by-step explanation:

From the question we are told that:

Mass \(m=15kg\)

Amount of NaCl IV \(n=0.9\%\)

Rate \(R=30ml/kg/hr\)

Generally the equation for fluid rate be for your IV pump is mathematically given by

\(V_f=mR\)

Since

Rate is

30ml/kg/hr at 1kg patient Weight

Therefore

\(V_f=15*30\)

\(V_f=450ml/hr\)

Answer:

I think it's 2.5 million liters

Step-by-step explanation:

I asked  my mom. And sister but my sister got a different answer but I took my mom answer.

The values of a and b that make the piecewise defined function f(x) = 3x + 4, for x < -3, and f(x) = 2x^2 + ax + b, for x > -3, both continuous and differentiable everywhere are a = 6 and b = 9.

To ensure that the piecewise defined function is continuous at the point where x = -3, we need the left-hand limit and right-hand limit to be equal. The left-hand limit is given by the expression 3x + 4 as x approaches -3, which evaluates to 3(-3) + 4 = -5.

On the right-hand side of the function, when x > -3, we have the expression 2x^2 + ax + b. To find the value of a, we need the derivative of this expression to be continuous at x = -3. Taking the derivative, we get 4x + a. Evaluating it at x = -3, we have 4(-3) + a = -12 + a. To make this expression continuous, a must be equal to 6.

Next, we find the value of b by considering the right-hand limit of the piecewise function as x approaches -3. Substituting x = -3 into the expression 2x^2 + ax + b, we get 2(-3)^2 + 6(-3) + b = 18 - 18 + b = b. To make the function continuous, b must equal 9.

Therefore, the values of a and b that make the piecewise defined function both continuous and differentiable everywhere are a = 6 and b = 9.

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5 gallons of gas can u buy and It would cost you $19.94 to get gas and cool whip

Given that

We are on your way to Thanksgiving Dinner. Uncle Joe forgot to pick up Cool Whip for his famous pumpkin pie.

You gladly help out since we planned to stop for gas by the grocery store anyway.

You get to the store and realize your wallet is at home

a crumpled $20 bill in your jacket

If the cool whip is $2.19 per tub

gas is $3.55 per gallon,

20 - 2.19 = 17.81

17.81/3.55 = 5.01690140845 (rounded to the nearest hundredth is, 5.02) 5.02 would cost over $20 though, so we round it to $5

5 (3.55) = 17.75

17.75 + 2.19 = 19.94

It would cost you $19.94 to get gas and cool whip.

5 gallons of gas can u buy and It would cost you $19.94 to get gas and cool whip.

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Answer:

1- Because the degree is two, we either have two real roots or two complex roots

The roots are non-real because the discriminant is < 0

2x^2  + 4x +  7  = 0   subtract 7 from both sides

2x^2  +  4x  = -7

2 (x ^2 + 2x)  = -7    divide both sides by 2

x^2 + 2x   =  -7/2

Take 1/2 of 2  = 1.....square it  =  1   add it to both sides

x^2 + 2x + 1  =  -7/2 + 1   factor the left, simplify the right

(x + 1) ^2  =  -5/2       take both roots

x + 1  =  ± √[ -5/2 ]    subtract 1  and simplify the right

x  = ± √[5/2] i    - 1  .

2- (a) The graph is shown below.

(b)

x-intercept = (1, 0)

y-intercept = (0, -3)

Step-by-step explanation:

Given:

The function is given as: (a)

In order to plot the graph, we need to find some points on it. We also need to find the maximum and minimum of the function.

Let us find the maximum and minimum of the function. The maxima or minima occurs when the derivative of the function is 0.

Differentiating the function with respect to 'x', we get:

Now, equating  to 0, we solve for 'x'. This gives,

Now, let us find the 'y' values for the above 'x' values

When

So, the point of maxima is (-1.33, -1.8) and point of minima is (0, -3). Mark these two points on the graph.

Let us take another random point for 'x'. Let

. Mark the point (-1, -2) on the graph.

Now, let . The value of 'y' is:

. Mark the point (1, 0) on the graph.

Now, draw a smooth curve passing through all of these points with a maximum curve at (-1.33, -1.8) and minimum curve at (0, -3).

The graph is shown below.

(b)

The x-intercept is at the point when 'y' value is 0. So, the point on the graph is (1, 0).

The y-intercept is at the point when 'x' value is 0. So, the point on the graph is (0, -3).

The number of the cupcakes sold that day that were vanilla flavored is 172.

The number of the cupcakes sold that day that were vanilla flavored can be calculated using the following formula:

Number of vanilla flavored cupcakes sold = Total number of cupcakes sold * Percentage that were vanilla flavored .............. (1)

Substituting the relevant values into equation (1), we have:

Number of vanilla flavored cupcakes sold = 400 * 43% = 172

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Being able to inspect and adapt at scale is more what enterprise agile is all about.

What is enterprise ?

Despite being another word for a for-profit business or organization, the word "enterprise" is most frequently related to entrepreneurial endeavors. Those who are successful in business are frequently referred to as "enterprising." Legal businesses come in a variety of shapes and sizes, but the most popular ones in the US.

At the executive level, it's about placing smaller wagers. It involves being able to balance the sales and marketing side of the business with your capacity to develop useful products and then sustainably support those products.

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Step-by-step explanation:

”. What this means is that there is less than a 5% probability that the results happened just by random chance, and therefore a 95% probability that a results reflects a meaningful pattern in human psychology. We call this statistical significance, and, statistically speaking, this is a pretty high standard

If this means that there is still a 5% chance those results are due to chance. This, combined with publication bias , are two main contributing factors to the reproducibility crisis.

When the results of research investigations affect whether or not they are published, it is known as publication bias.

It alludes to the propensity of academics, journals and other interested parties to publish studies with statistically significant or favourable outcomes while omitting or underreporting those with non-significant or unfavourable outcomes.distorted and incomplete.

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one real eigenvalue. find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace.

What is eigenvalue?

In linear algebra, an eigenvector or characteristic vector of a linear transformation is a nonzero vector that, when the linear transformation is applied to it, changes at most by a scalar factor. The factor by which the eigenvector is scaled is known as the associated eigenvalue, frequently denoted by lambda.

a) -4

b) 1

c) 1

Step-by-step explanation:

a) The matrix A is given by:

\(A=\left[\begin{array}{ccc}-3 & 0 & 1 \\2 & -4 & 2 \\-3 & -2 & 1\end{array}\right]\\\)

where lambda are the eigenvalues and I is the identity matrix. By replacing you obtain:

\(A-\lambda I=\left[\begin{array}{ccc}-3-\lambda & 0 & 1 \\2 & -4-\lambda & 2 \\-3 & -2 & 1-\lambda\end{array}\right]\)

and by taking the determinant:\(\begin{aligned}& {[(-3-\lambda)(-4-\lambda)(1-\lambda)+(0)(2)(-3)+(2)(-2)(1)]-[(1)(-4-\lambda)(-3)+(0)(2)(1-} \\& \lambda)+(2)(-2)(-3-\lambda)]=0 \\& -\lambda^3-6 \lambda^2-12 \lambda-16=0\end{aligned}\)

and the roots of this polynomial is:

\(\begin{aligned}& \lambda_1=-4 \\& \lambda_2=-1+i \sqrt{3} \\& \lambda_3=-1-i \sqrt{3}\end{aligned}\)

hence, the real eigenvalue of the matrix A is -4.

b) The multiplicity of the eigenvalue is 1.

c) The dimension of the eigenspace is 1 (because the multiplicity determines the dimension of the eigenspace)

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Complete Quetion

The matrix A= (−3 0 1, 2 −4 2, −3 −2 1) has one real eigenvalue. Find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace. The eigen value = has multiplicity = and the dimension of the corresponding eigenspace is:_______.

Solution

Step 1

If k represents Kirsten's age

Kirsten's mum age = 3k - 2 years

Step 2

Sum of their ages

Final answer

2(2 k - 1)

4 k - 2

(3 k - 2) + k