\(2\sqrt} 5+3\sqrt} 75\)

Answer: y = 6/5x + 4

Step-by-step explanation: The equation is in form y = mx + b, where m is the slope and b is the y-intercept. You already have the y-intercept, which is 4. To find the slope, use rise over run. y2 - y1 / x2 - x1 = 10-4/5-0 = 6/5.

when a person's test performance can be compared with that of a representative and pretested sample of people, the test is said to be norm-referenced.

Norm-referenced tests are assessments that measure an individual's performance against a predetermined group, or norm. A norm-referenced test is designed to evaluate how a person performs in comparison to a representative and pretested sample of people. This type of testing is especially common with achievement tests, such as the SAT or IQ tests, where the scores are meant to represent how the individual compares to others of the same age or in the same educational setting. The results of norm-referenced tests can be used to rank individuals according to their performance on the test, allowing for an easy comparison between individuals. Norm-referenced tests are designed to provide a comprehensive view of an individual’s strengths and weaknesses in comparison to a predetermined group.

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The value of x that satisfies the equation is x = 15/8, which is equivalent to 1.875.

To solve the equation (2/3)x - (1/5)x = x - 1 and find the value of x, we can follow these steps:

Combine like terms on the left side of the equation:

(2/3 - 1/5)x = x - 1

Find a common denominator for the fractions on the left side. The common denominator for 3 and 5 is 15, so we rewrite the equation as:

(10/15 - 3/15)x = x - 1

Simplify the left side of the equation:

(7/15)x = x - 1

To eliminate the fraction, we can multiply both sides of the equation by the denominator of the fraction, which is 15:

15 * (7/15)x = 15 * (x - 1)

This simplifies to:

7x = 15x - 15

Subtract 15x from both sides of the equation to isolate the x term:

7x - 15x = -15

Simplifying further:

-8x = -15

Divide both sides of the equation by -8 to solve for x:

x = (-15) / (-8)

Simplifying the division:

x = 15/8

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Let a function f be analytic everywhere in a domain D. Prove that if f(z) is real-valued for all z in D, then f(z) must be constant throughout D. Suppose a function f(z) is analytic and real-valued throughout a domain D. Assume that there are two different points in D, say w and z, so that f(z) ≠ f(w). Therefore, we have a closed path consisting of the line segment from z to w and the line segment from w to z. Now let γ be any closed path in D that encloses the path from z to w.  Since f(z) ≠ f(w), f(z) - f(w) ≠ 0, so f(z) - f(w) / z - w ≠ 0. This makes the function 1 / (f(z) - f(w)) analytic throughout D. Thus, by Cauchy's theorem, $\oint_{\gamma } \frac{1}{f(z)-f(w)}dz = 0$.where gamma is a function.

frac stands for fraction. This leads to $\int_{w}^{z} \{1}/{f(z)-f(w)}dz + \int_{z}^{w} \{1}/{f(z)-f(w)}dz = 0$. But by substituting f(w) = f(z) and reversing the direction of integration in the second integral, we get, $\int_{w}^{z} \frac{1}{f(z)-f(w)}dz - \int_{w}^{z} \frac{1}{f(w)-f(z)}dz = 0$ . This results in the integral$\int_{w}^{z} \frac{f'(w)}{f(z)-f(w)}dz - \int_{w}^{z} \frac{f'(z)}{f(w)-f(z)}dz = 0$. Now it is time to simplify and evaluate each of the integrals. The first integral has value $\ln|f(z)-f(w)|$ and the second integral has value $\ln|f(z)-f(w)|$. Therefore, $f'(z)/f(z)-f(w) = f'(w)/(f(w)-f(z))$. This equation, however, is not possible unless $f(z) = f(w)$. Hence, we conclude that the function f(z) is constant throughout D.

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\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Value of m is equal to :

\( \large \boxed{ \mathfrak{Explanation}}\)

➢ 15 = 2m - 9

➢ 15 + 9 = 2m

➢ 2m = 24

➢ m = 24 ÷ 2

➢ m = 12

\( \mathfrak{hope \: \: it \: \: helps\;\; Rainbow ~ \: \: }\)

Answer:

5700

Step-by-step explanation:

Answer:

5700

Step-by-step explanation:

Hope this helps

Answer:

2x + 5 = 61

Step-by-step explanation:

Let x be equal to the temperature in Boise.

Since the temperature in San Diego is 5 degrees warmer than twice the temperature in Boise, we must double the temperature in Boise and then add 5 degrees. To do this we put a 2 in front of the x and then add 5 to that.

2x + 5

Since we know the temperature in San Diego is 61 we can make the equation equal to 61.

2x + 5 = 61

Answer:61-5=56÷2=28

Step-by-step explanation:First, you want to find the San Diego temp minus 5. Once you find that it is 56, you divide that by two because it says that the temp in Boise would be half of it. Then you find the answer of 28. Hope this helps.

Answer:

Step-by-step explanation:

1. -10+18+6=8+6=14

2. -1+84=83

3. -2×(−6)2 +7=12×2+7=24+7=31

4. 50-(−6)2 +(−8)=50+12-8=62-8=54

5. (-2+2)× (−3)3=0× (−3)3=0

6. 30+8-42=38-42=-4

7. -9-2-1=-12

8. -32+6+6=-20

9. -10×3÷5+9=-30÷5+9=-6+9=3

10. -24÷ 8 + 33=-3+33=30

"a ∝ b" means "a is proportional to b", which in turn means there is some constant k such that

a = kb

We're given that a = 18 and b = 3, so that

18 = 3k   ⇒   k = 6

Then when b = 5, we would have

a = 6 × 5 = 30

Answer: 5

Step-by-step explanation: Sum of Angles = 900'. 6 right angles

= 540', leaving 360', which is impossible.

The farming conglomerate will use approximately 36,912.51 megaliters of water 5 years from now.

To calculate the amount of water the farming conglomerate will use 5 years from now, we can use the given information that its water usage increases at a rate of 7% every year.

Let's denote the current water usage as W₀ and the water usage after 5 years as W₅.

We know that W₅ = W₀ * (1 + r)^n, where r is the growth rate (in decimal form) and n is the number of years.

In this case, W₀ = 28,390 megaliters, r = 7% = 0.07, and n = 5.

Substituting these values into the formula, we have:

W₅ = 28,390 * (1 + 0.07)^5

Calculating this expression, we get:

W₅ ≈ 28,390 * (1.07)^5 ≈ 36,912.51 megaliters

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Answer:851

Step-by-step explanation:

The equation of the circle in standard form is (x - 3)²+ y² = 1.

The standard form of the equation of a circle is:

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and r is its radius.

This equation represents all points in the xy-plane that are equidistant from the center (h, k) of the circle. The squared terms (x - h)² and (y - k)² represent the distances between the center and any point (x, y) on the circle, and r² is the squared length of the radius of the circle.

In the given question,

The center of the circle is (3, 0), and the radius extends to the point (4, 0), which means the radius has a length of 1 unit.

Substituting the values of the center and radius into the standard form equation of a circle, we get:

(x - 3)² + (y - 0)² = 1²

Simplifying, we get:

(x - 3)² + y² = 1

Therefore, the equation of the circle in standard form is:

(x - 3)² + y² = 1.

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Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

For how to graph this, best to look at the guidelines for graphing a break-even formula.

What we do want to know is where these two values equal each other.

So, set:  400 + 0.20X = 800 + 0.10X

Subtract 400 from both sides; also subtract 0.10X from both sides, to get:

0.10X = 400

To solve for "X", divide out both sides by:  0.10, to get:

X = 4,000

What can can glean from this, is that:

(1)  The sales person is better off accepting the higher base salary, up to the point of sales being no more than $4,000;

(2)  The sales person is better off accepting the lower base salary, if their sales are normally expected to exceed $4,000.

Although a bigger random sample can aid in increasing the precision and decreasing the variability of a national opinion poll, it cannot ensure a decrease in bias, which is dependent on the efficacy of the sampling technique and the sample's representativeness.

A nationwide opinion poll's results are often less variable as the random sample size is increased since the bigger sample size more accurately represents the people being sampled.

It does not necessarily lessen bias, which is the term for systemic mistakes in the sampling process or polling methodology that may endure even with a larger sample size.

The accuracy of the poll's results can be improved by reducing random mistakes like sampling and measurement errors with a bigger sample size.

The standard error of the mean, a measurement of the variability of the sample mean from sample to sample, is often less the bigger the sample size.

A national opinion poll's measure of interest, the population mean, can be more accurately estimated with a smaller standard error.

If the sample is not completely random or representative of the population being investigated, bias may still exist in a bigger sample.

For instance, the findings may be biassed if the pollsters oversample a certain demographic group or geographic area.

Non-response bias can also happen if a certain group of people is less likely than others to reply to the survey.

As a result, while a bigger random sample can aid in increasing the precision and decreasing the variability of a national opinion poll, it cannot ensure a decrease in bias, which is dependent on the efficacy of the sampling technique and the sample's representativeness.

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Answer:

11.7

Step-by-step explanation:

(−7.8)(−1.5)

Hope ths helps

In general, solving equations involving quadratic residues can be complex and requires knowledge of advanced number theory.

To solve the equation a^2 = -1 mod m, where m is an odd positive integer, we can use the concept of quadratic residues.

First, we need to find a number b such that b^2 = -1 mod m. If such a number exists, then a = b^((m+1)/4) mod m is a solution to the equation a^2 = -1 mod m.

However, if no such b exists, then the equation has no solution. This is because for odd prime m, the congruence a^2 = -1 mod m has a solution if and only if m is congruent to 1 mod 4.

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For every circumference that the new tire does, the factory-installed tire will make 2.

The speedometer calculates the velocity using the number of revolutions.

So, with the new tire, the speedometer is going to say the half of the actual velocity. Therefore, you must stay at 27.5 (55/2=27.5) mph or below if you don't want to break the speed limit.

Answer: 55/2 mph = 27.5 mph

The amount to be paid is more on credit card 2 is more, it must be paid first.

Card 1:

Current balance = $8,312.69

Annual percentage rate APR = 24.16%

Credit limit = $10,000.

Used amount = $10,000 - $8,312.69

Used amount = 1687.31

A = P\((1 + r/n)^{nt}\)

P = $1687.31

r = 24.16% = 0.2416

Take n = 1 and time = 1 year.

A =  1687.31*\((1 + 0.2416/n)^{1*1}\)

A = 1687.31 * 1.2416

A = $2094.96

For Card 2:

Current balance = $1,180.34

APR = 21.15%

Credit limit = $75,00

Used amount = $75,00 - $1,180.34

Used amount = $6319.66

A = 6319.66*\((1 + 0.2115/n)^{1*1}\)

A = 6319.66 * 1.2115

A = $7656.26

As the amount to be paid is more on credit card 2 is more, it must be paid first.

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Answer:

3 ≤11 ≤ 11

Step-by-step explanation:

3x-4 = 2x +1

3x-5 = 2x

x-5 = 0

x= 5

3 ≤11 ≤ 11

Answer:

Formula: divide the value in centimeters per second by 100 because 1 meter per second equals 100 centimeters per second. So, 9000 centimeters per second = 9000100 = 90 meters per second.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

because if we add 8+6 is 14-26=12

The false positive and false negative rates for the medical test are given as:

A false positive is an outcome in which the model forecasts the positive class inaccurately. A real positive result is one in which the model accurately predicts the positive class.

To determine the false positives and false negatives of the tests, we use the principle of probability.

Probability (p) = Number of Favorable outcomes/Total number of Exhaustive outcomes

Recall that 240 of the 250 patients were accurately recognized. Also, 50 healthy people were diagnosed to have the ailment. Hence, the test's false positive (FP) and false negative (FN) rates can be estimated as follows:

Hence P (False Positive) = 50 / 750 = o.0667 or 6.67%

P (False Negative) = 10/750 = 0.0400 or 4.00%.

Therefore, the required rates are 6.67% and 4.00% accordingly.

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Full Question:

Testing the test Are false positives too common in some medical tests? Researchers conducted an experiment involving 250 patients with a medical condition and 750 other patients who did not have the medical condition. The medical technicians who were reading the test results were unaware that they were subjects in an experiment.

Question: Technicians correctly identified 240 of the 250 patients with the condition. They also identified 50 of the healthy patients as having the condition. What were the false positive and false negative rates for the test? (See table below)

                                        Medical patients             Other Conditions    Total

Correctly identified        240                                  700                            940

Incorrectly identified      10                                     50                              60

Total                                  250                                  750                            1000

let's consider the following problem:

Find the integral of the function \(\(f(x) = x^2 + 3x - 2\).\)

To solve this, we can use the power rule for integration. Applying the power rule, we get:

\(\[\int (x^2 + 3x - 2) \, dx = \frac{1}{3}x^3 + \frac{3}{2}x^2 - 2x + C\]\)

where \(\(C\)\) is the constant of integration.

So, the integral of \(\(f(x)\) is \(\frac{1}{3}x^3 + \frac{3}{2}x^2 - 2x + C\).\)

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Answer:

$27.50

Step-by-step explanation:

55*50%

=55*1/2

=55/2

=27.5

Answer:

27.5

Step-by-step explanation:

50 divided into 2 is 20.50

5 divided by 2 is 2.50

Answer:

a₂₉ = 141

Step-by-step explanation:

The nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 29 and d = a₂ - a₁ = 33 - 29 = 4 , then

a₂₉ = 29 + (28 × 4) = 29 + 112 = 141

Answer:

The 29th term of arithmetic sequence is 141.

Step-by-step explanation:

Here's the required formula to find the arithmetic sequence :

\(\longrightarrow{\pmb{\sf{a_n = a_1 + (n - 1)d}}}\)

Substituting all the given values in the formula to find the 29th term of arithmetic sequence :

\(\leadsto{\sf{ \: \: a_n = a_1 + (n - 1)d}}\)

\(\leadsto{\sf{ \: \: a_{29} = 29 + (29 - 1)4}}\)

\(\leadsto{\sf{ \: \: a_{29} = 29 + (28)4}}\)

\(\leadsto{\sf{ \: \: a_{29} = 29 + 28 \times 4}}\)

\(\leadsto{\sf{ \: \: a_{29} = 29 + 112}}\)

\(\leadsto{\sf{ \: \: a_{29} = 141}}\)

\(\star \: \: \red{\underline{\boxed{\sf{a_{29} = 141}}}}\)

Hence, the 29th term of arithmetic sequence is 141.

\(\rule{300}{2.5}\)

The eigenvalues of the coefficient matrix a(t) are 5,1,-1.

To find the eigenvalues of the coefficient matrix, we need to first form the coefficient matrix A by taking the partial derivatives of the given system of differential equations with respect to x, y, and z. This gives us:

A = [y, x, -1; 0, 5, 0; 0, 1, -1]

Next, we need to find the characteristic equation of A, which is given by:

det(A - λI) = 0

where I is the identity matrix and λ is the eigenvalue we are trying to find.

We can expand this determinant to get:

(λ - 5)(λ - 1)(λ + 1) = 0

Therefore, the eigenvalues of the coefficient matrix are λ = 5, λ = 1, and λ = -1.

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Answer:

5,4,1,3,2

Step-by-step explanation:

There's no problem doing these out of order.

Answer:

Step-by-step explanation:

X = 152 -90 = 62 degree