True or false: Row operations on a matrix do not change its eigenvalues

Answer:

100/60 = 42 / x

Step-by-step explanation:

Given that :

Number of dogs at shelter = 42

Capacity of shelter = 60%

Number of dogs shelter can cater for :

Let number of dogs shelter can cater for = x

60% of 42 = x

(60/100) * 42 = x

60/100 = x / 42

Reciprocal of both sides

100/60 = 42 / x

Answer:

60/100=42/x

Step-by-step explanation:

Answer:

Cone or Cylinder, Sphere

Step-by-step explanation:

Answer: The surface area of a cone can be found by drawing a net and adding the area of all their respective two - diamasional surface. Use the formula 4πr2 to find the surface area of a Sphere where r is the radius of the figure.  

Step-by-step explanation:

Around 9.49% more population increase live in Staverton every year.

Calculating the overall percentage change as a result of multiple successive percentage changes is required for repeated percentage change questions.

Let P be the town's current population, and let r represent the growth rate in decimal form. In six years, the population can be stated as follows:

P * (1 + r)⁶

The problem states that this population is 60% more than the present population, or

P * (1 + 0.6) = 1.6P

Therefore:

1.6P = P * (1 + r)⁶

Dividing both sides by P:

1.6 = (1 + r)⁶

Taking the sixth root of both sides:

(1 + r) = 1.6(1/6)

Subtracting 1 from both sides:

r = 1.6(1/6) - 1

Using a calculator, we find that:

r ≈ 0.0949 or about 9.49%

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Step-by-step explanation:

15 dollar for each

15*70*12

then 84*70

total amount. the above

Answer:

:>

Step-by-step explanation:

15 dollar for each

15*70*12

then 84*70

total amount. the above

Answer:

Exponential Regression. An exponential regression is the process of finding the equation of the exponential function that fits best for a set of data. As a result, we get an equation of the form y=abx where a≠0 .

Step-by-step explanation:

The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

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Answer: 62.4$

Step-by-step explanation: 20% of 52 is 10.4

X -> times 2 -> plus 4 -> r(x)

Step-by-step explanation:

-4=x -4=r(x) -4 x 2=-8 -8+4=-4

Answer:

If on imagine math then its on the picture, have a nice day!

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Traditionally, a radical or irrational number cannot be left in the denominator (the bottom) of a fraction. When a radical does appear in the denominator, you need to multiply the fraction by a term or set of terms that can remove that radical expression.

Answer:

Step-by-step explanation:

y = 3x - 2

Answer:

it aint they are both the same

Both the functions are equal to each other. Then the value of x is -1. And they intersect at (-1, 8).

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

Graph the functions \(\rm f \rm (x) =-6x +14\) and \(\rm g (x)=-2x +6\) are on the same coordinate plane.

For the value of x, both the function are equal to each other.

\(\begin{aligned} f(x) &= g(x)\\\\6x + 14 &= -2x + 6\\\\8x &= -8 \\\\x &= -1\end{aligned}\)

The graphs are shown below.

Thus, the value of x is -1.

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Answer:

X= 2

X= 4

Step-by-step explanation:

I took the test

Answer:

answer: 521

Hope that helps!

Answer:

x = -23

Step-by-step explanation:

Answer:

for this one

midpoint=(0.5,6.5)

distance=7.1

Step-by-step explanation:

hope this help u

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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The perimeter of the triangle is 7 + 7/2✓3 units.

In a 30-60-90 triangle, the sides are in the ratio of 1:sqrt(3):2, where the hypotenuse is twice the length of the shorter leg.

Let's call the shorter leg x, then the longer leg would be x✓(3), and the hypotenuse would be 2x.

Given that the hypotenuse is 7 units, we can solve for x by dividing 7 by 2:

2x = 7

x = 7/2

So the shorter leg of the triangle is 7/2 units, and the longer leg is (7/2)✓(3) units.

Perimeter = x + ✓(3) + 2x

Perimeter = (7/2) + (7/2)✓(3) + 2(7/2)

Perimeter = 7/2 + 7/2✓(3) + 7

Perimeter = 7 + 7/2✓(3)

Therefore, the perimeter of the triangle is 7 + 7/2✓(3) units.

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The length of the hypotenuse of a 30-60-90 triangle is 7 units. Find the perimeter of the triangle.

The coordinates of the vertices A,B,, and C of the triangle are A'(-10,15), B'(-15,-10), and C'(5,-5).

The dilation is defined as changing the size of the object whether it is increasing or decreasing. The image of the object is dilated by some scale factor and the increasing and decreasing nature of the object depends upon the scale factor.

Here is the question the vertices of the triangle ΔABC are dilated by a scale factor of 5 / 2.

The dilated vertices of the triangle will be calculated as:-

A(-4,6)⇒ A'(-4 x 5 / 2, 6 x 5 / 2) = A'(-10, 15)

B(-6,-4) ⇒B'(-6 x 5 / 2 , -4 x 5 / 2 ) = B'(-15,-10)

C(2,-2) ⇒ C'(2 x 5 / 2 , -2 x 5 / 2 ) = C'( 5,-5)

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The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

Given the equation x^2 = 2y.

The coordinates of the point are (4,1).We have to find the abscissa on the curve that is nearest to this point.So, let's solve this question:

To find the abscissa on the curve x2 = 2y which is nearest to the point (4,1), we need to apply the distance formula.In terms of x, the formula for the distance between a point on the curve and (4,1) can be written as:√[(x - 4)^2 + (y - 1)^2]But since x^2 = 2y, we can substitute 2x^2 for y:√[(x - 4)^2 + (2x^2 - 1)^2].

Now we need to find the value of x that will minimize this expression.

We can do this by finding the critical point of the function: f(x) = √[(x - 4)^2 + (2x^2 - 1)^2]To do this, we take the derivative of f(x) and set it equal to zero: f '(x) = (x - 4) / √[(x - 4)^2 + (2x^2 - 1)^2] + 4x(2x^2 - 1) / √[(x - 4)^2 + (2x^2 - 1)^2] = 0.

Now we can solve for x by simplifying this equation: (x - 4) + 4x(2x^2 - 1) = 0x - 4 + 8x^3 - 4x = 0x (8x^2 - 3) = 4x = √(3/8)The abscissa on the curve x^2 = 2y that is nearest to the point (4,1) is x = √(3/8).T

he main answer is that the abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

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Answer:

assume X dollar is $100

If so then,

$100-10% =$90

Thus,

$90x125%=$112.5

The total number of extra points earned is approximately 214 using Simpson's Rule.

Simpson's rule is a technique of numerical integration that approximates the value of a definite integral of a function by using quadratic functions. Here, you are supposed to create a spreadsheet to estimate the total number of extra points earned on the exam using Simpson's rule.Here is the table provided:

Number of hours of study, x1 2 3 4 5 6 7 8 9 10 11

Rate of extra points 4 8 14 11 12 16 22 20 22 24 26 earned on exam, f(x) OCIED

We first calculate h and represent it as follows:  

h = (b-a)/nwhere b = 11, a = 1, and n = 10.

 Therefore, h = (11-1)/10 = 1.

Substituting the values into the Simpson's Rule formula, we have:

∫ba{f(a) + 4f(a+h) + 2f(a+2h) + 4f(a+3h) + ... + 2f(b-h) + 4f(b-2h) + f(b)} / 3n

We have 10 intervals. Thus we have:

∫1111 {4 + 4(8) + 2(14) + 4(11) + 2(12) + 4(16) + 2(22) + 4(20) + 2(22) + 4(24) + 26} / 30≈ 214.0

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Using Standard deviation, approximately, 95% of the area under the normal curve falls between 2 standard deviations.

The area under a normal curve represents the total probability of an event occurring for a normally distributed random variable.

A normal distribution is a bell-shaped curve that describes a continuous probability distribution of a variable, where most values cluster around the mean, and the curve tapers off symmetrically on both sides.

The total area under the normal curve is equal to 1 or 100%, which means that the probability of all possible outcomes adds up to 1 or 100%.

The Empirical Rule states that:

Hence,

Approximately, 95% of the area under the normal curve falls between 2 standard deviations.

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Answer: 41$

Step-by-step explanation:

This is because 5x6=30 (To find how much money is made)

then 11+30=41 (add both amounts)

Answer:

423 v- 69ferr

Step-by-step explanation:

Answer: f(x) = -1/2(x+3)

Example: g(x) = -1/2(-x-3)

This function is a dilation and a reflection of the parent function f(x) because when graphed, the two functions have the same shape but are reflected over the y-axis and are half the size of the original.

The alternative hypothesis would be: The proportion of people who own cats is smaller than 90%.

The null hypothesis for this test would be: The proportion of people who own cats is equal to or greater than 90%.

To conduct the hypothesis test, we would need to collect a random sample of 1400 individuals and determine how many of them own cats. Based on this information, we could calculate the sample proportion of cat owners and use this to test the claim that the population proportion is smaller than 90%.

We would use a one-tailed hypothesis test with a significance level of 0.005. If the p-value for our test is less than 0.005, we would reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis that the proportion of people who own cats is smaller than 90%.
Hi! I'd be happy to help you with this question. You want to test the claim that the proportion of people who own cats is smaller than 90% at the 0.005 significance level.

To do this, we will set up our null and alternative hypotheses as follows:

Null Hypothesis (H0): The proportion of people who own cats is equal to 90% (p = 0.90)
Alternative Hypothesis (H1): The proportion of people who own cats is smaller than 90% (p < 0.90)

Here's a step-by-step explanation of how to test this claim:

1. Determine the sample size (n) and the number of cat owners in the sample (x): In this case, n = 1400, and x = 615.

2. Calculate the sample proportion (p-hat): p-hat = x/n = 615/1400 ≈ 0.439.

3. Determine the significance level (alpha): In this case, alpha = 0.005.

4. Calculate the standard error (SE) of the sample proportion: SE = sqrt[p*(1-p)/n] = sqrt[0.9*(1-0.9)/1400] ≈ 0.008.

5. Calculate the z-score: z = (p-hat - p)/SE = (0.439 - 0.9)/0.008 ≈ -57.63.

6. Find the critical z-value for a one-tailed test at the 0.005 significance level: z-critical = -2.576 (from a standard normal distribution table).

7. Compare the calculated z-score with the critical z-value: Since the calculated z-score (-57.63) is less than the critical z-value (-2.576), we reject the null hypothesis.

In conclusion, based on this analysis, we have enough evidence to support the alternative hypothesis that the proportion of people who own cats is smaller than 90% at the 0.005 significance level.

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After 15 years, the area of the forest will be approximately 693.63 km². To calculate the area of the forest after 15 years, we need to apply the given annual decrease rate of 7.25% for each year.

First, let's calculate the decrease in the forest's area for the first year:

Decrease in area = 7.25% of 1600 km²

                 = (7.25/100) * 1600 km²

                 = 0.0725 * 1600 km²

                 = 116 km²

After the first year, the area of the forest would be:

Area after 1 year = Initial area - Decrease in area

                 = 1600 km² - 116 km²

                 = 1484 km²

Now, we repeat this process for the subsequent years, decreasing the area by 7.25% each year:

Year 2:

Decrease in area = 7.25% of 1484 km²

                 = 0.0725 * 1484 km²

                 = 107.66 km²

Area after 2 years = 1484 km² - 107.66 km²

                 = 1376.34 km²

Year 3:

Decrease in area = 7.25% of 1376.34 km²

                 = 0.0725 * 1376.34 km²

                 = 99.9 km²

Area after 3 years = 1376.34 km² - 99.9 km²

                 = 1276.44 km²

We continue this process until we reach the 15th year:

Year 15:

Decrease in area = 7.25% of the area after 14 years

                 = 0.0725 * (area after 14 years)

Area after 15 years = (area after 14 years) - (Decrease in area)

After calculating this for the 15th year, we will have the final area of the forest.

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The complete question is:

A certain forest covers an area of 1600 km2. Suppose that each year this area decreases by 7.25%. What will the area be after 15years?