Please help I really need this answer thanks a lot 40 points needs to be Explained or I’m going to Report and get my Points Back from you

Answer:

6,15

Step-by-step explanation:

A dilation is the changing of a size. A scale factor is a proportional number that tells us how much we change a shape.

If the scale factor is over 1, the new image will stretch.

If the scale factor is under 1, the new image will shrink

Since we are asked to find A' (which is prime notation) meaning that we are asked to find the coordinates where A' is at on the new image.

Since the scale factor is 3,

3 is greater than 1 so it will stretch.

Now, multiply 3 to each number

to find it new location.

\( \frac{2}{5} \times \frac{3}{3} = \frac{6}{15} \)

So the coordinates are at 6,15

Answer:

I'm pretty sure you multiply each number in (2,5) by the 3 to get new coordinates of (6,15)

that's the only answer that could fit :)

The value of n from the given expression is y =  (x-2)/z

The subject of formula is a way of representing a variable in terms of other variables.

Given the expression

x-2/y = z

Cross multiply

x - 2 = yz

Divide both sides by z

(x-2)/z = yz/z

(x-2)/z = y

Swap

y =  (x-2)/z

Hence the value of n from the given expression is y =  (x-2)/z

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Answer :

\(\frac{( x - 2 )}{z} = y\)

Step-by-step explanation:

\(\frac{(x-2)}{y} =z\)

Use cross multiplication.

\(( x - 2 ) = yz\)

Now, to make y the subject divide both sides by z.

\(\frac{( x - 2 )}{z} = y\)

It is requred to test the exactness of the given ODE and then find its general solution. Then, if the given ODE is not exact, an integrating factor must be used to make it exact.

This given ODE is:(2xy - 2y²e^(3x))dx + (x² - 2ye^(2x))dy = 0.To verify the exactness of the given ODE, we determine whether or not ∂Q/∂x = ∂P/∂y, where P and Q are the coefficients of dx and dy respectively, as follows: P = 2xy - 2y²e^(3x) and Q = x² - 2ye^(2x).Then, we have ∂P/∂y = 2x - 4ye^(3x) and ∂Q/∂x = 2x - 4ye^(2x).Thus, since ∂Q/∂x = ∂P/∂y, the given ODE is exact.To solve the given ODE, we have to find a function F(x,y) that satisfies the equation Mdx + Ndy = 0, where M and N are the coefficients of dx and dy respectively. This is accomplished by integrating both P and Q with respect to their respective variables. We have:∫Pdx = ∫(2xy - 2y²e^(3x))dx = x²y - y²e^(3x) + g(y), where g(y) is a function of y. We differentiate both sides of this equation with respect to y, set it equal to Q, and then solve for g(y). We have:(d/dy)(x²y - y²e^(3x) + g(y)) = x² - 2ye^(2x)Thus, g'(y) = 0 and g(y) = C, where C is a constant.Substituting the value of g(y) in the equation above, we get:x²y - y²e^(3x) + C = 0, as the general solution.The given ODE is exact, so we can solve it by finding a function that satisfies the equation Mdx + Ndy = 0. After integrating both P and Q with respect to their respective variables, we find that the general solution of the given ODE is x²y - y²e^(3x) + C = 0.

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The side lengths mentioned in option E are the sides of the right angled triangle.

Three given side lengths of a triangle a, b and c are said to be the sides of the right triangled triangle if -

a² = b² + c²

We can write for the given set of numbers in option 5 as -

(13)² = (12)² + (5)²

169 = 144 + 25

169 = 169

LHS = RHS

So, the side lengths mentioned in option E are the sides of the right angled triangle.

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The p-value is less than the significance level (typically 0.05), we reject the null hypothesis and conclude that the majority of teens in this age range do not respond better to the new drug therapy for autism.

The correct answer is not provided in the question. The chi-square test statistic cannot be used for testing hypotheses about a single proportion. Instead, we use a z-test for proportions. To find the test statistic, we first calculate the sample proportion:

p-hat = 411/900 = 0.4578

Then, we calculate the standard error:

SE = \(\sqrt{[p-hat(1-p-hat)/n] } = \sqrt{[(0.4578)(1-0.4578)/900]}\) = 0.0241

Next, we calculate the z-score:

z = (p-hat - p) / SE = (0.4578 - 0.50) / 0.0241 = -1.77

Finally, we find the p-value using a normal distribution table or calculator. The p-value is the probability of getting a z-score as extreme or more extreme than -1.77, assuming the null hypothesis is true. The p-value is approximately 0.0392.

Since the p-value is less than the significance level (typically 0.05), we reject the null hypothesis and conclude that the majority of teens in this age range do not respond better to the new drug therapy for autism.

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Answer:

\(\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: Solution : \:-10x + 42}}}}}}}}\)

Step-by-step explanation:

\(\sf{-3(2x + 1) - 4x + 45}\\\\\sf{Multiply \: the \: numbers : -3(2x + 1)}\\\\\sf{=( -3 * 2x) +( -3*1 )- 4x + 45}\\\sf{= -6x - 3 - 4x + 45}\\\\\sf{Rearrange \: the \: terms \: and \: do \: the \: operations} \\\\\sf{= -6x - 4x - 3 + 45}\\=\large{\boxed{\tt{ -10x + 42}}}\\\)

_______

Hope it helps!

\(\mathfrak{Lucazz}\)

We have found two integers, m = 59 and n = −24, such that 70 × 59 + 99 × (−24) = 1.The Euclidean Algorithm to find the greatest common divisor (gcd) of two integers is explained below: By dividing the larger number with the smaller number, we obtain a quotient and a remainder.

We will then divide the small integer by the obtained remainder and repeat the process until the remainder is 0.After performing these operations, the second divisor of the final step is the gcd.

Let us now use the Euclidean Algorithm to determine gcd

(70, 99):99 = 70 × 1 + 29 (Step 1)70 = 29 × 2 + 12 (Step 2)29 = 12 × 2 + 5 (Step 3)12 = 5 × 2 + 2 (Step 4)5 = 2 × 2 + 1 (Step 5)2 = 1 × 2 + 0 (Step 6)Therefore, gcd(70,99) = 1.

Now let's figure out all of the integer solutions for 70m + 99n = 1.We can employ the Extended Euclidean Algorithm to find integer solutions. The steps are as follows:

To begin, we'll need to apply the Euclidean Algorithm to obtain gcd(70, 99), which we've already done. Next, we'll rewrite the final equation of Step 5 of the Euclidean Algorithm as follows:

1 = 5 − 2 × 2. Substitute 2 in the equation 2 = 12 − 5 × 2 to get:1 = 5 − 2(12 − 5 × 2) = 11 × 5 − 2 × 12.Substitute 5 in the equation 5 = 29 − 2 × 12 to get:

1 = 11 × (29 − 2 × 12) − 2 × 12 = 11 × 29 − 24 × 12.

Substitute 12 in the equation 12 = 70 − 2 × 29 to get:1 = 11 × 29 − 24 × (70 − 2 × 29) = 59 × 29 − 24 × 70.We have found two integers, m = 59 and n = −24, such that 70 × 59 + 99 × (−24) = 1.

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Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

Answer:

4.025 acres

Step-by-step explanation:

16.1*0.25 which is 4.025

Hope this helps plz hit the crown :D

Answer:15.28

Step-by-step explanation:.25 of 61.1 is 15.28

Answer:

you have given no information.

Step-by-step explanation:

You just say one large pizza and some soft drinks..

Answer:

1st: Is the first answer. Circle P.

2nd: the central angle is , Angle BPC

3rd: The minor arc is BC

4th: MAjor arc is BAC

5th: Semicircle is ABC

Answer:

(-7, -5)

Step-by-step explanation:

y = x + 2

2x - 3y = 1

2x - 3(x + 2) = 1

2x - 3x - 6 = 1

-x - 6 = 1

    +6  +6

---------------

-x = 7

÷-1  ÷-1

-------------

x = -7

y = x + 2

y = -7 + 2

y = -5

I hope this helps!

Answer:

Step-by-step explanation:

A. The data appears to be reported. The heights occur with roughly the same frequency.

A histogram is a graphical representation of a frequency distribution, where the x-axis represents the values of the data, and the y-axis represents the frequency of those values. If the heights are reported, the last digit of the heights should be randomly distributed and the frequency of each digit should be roughly the same, which is the case in a histogram with uniform distribution. This is in contrast to a histogram with non-uniform distribution, where certain heights occur a disproportionate number of times, which is more likely to happen when the heights are measured. Therefore, based on the information provided, it can be concluded that the data appears to be reported.

In both cases, the subject term (S) and the predicate term (P) are distributed, which means that the proposition makes a claim about the entire class of S and the entire class of P.

Traditional categorical logic, a proposition with both of its terms (subject and predicate) distributed is called a universal proposition.

Stronger claim than a particular proposition.

A universal proposition is a statement that applies to all members of a category or class.

Asserts that the subject term is either entirely included or entirely excluded from the predicate term.

There are two types of universal propositions:

Universal affirmative proposition (A): All S are P.

Universal negative proposition (E): No S are P.

"All mammals are warm-blooded" is a universal affirmative proposition (A) because it claims that the subject term (mammals) is entirely included in the predicate term (warm-blooded).

It distributes both terms and claims the most knowledge.

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The conclusion we can draw from the circle graph is (2) Jazz is the preferred music for 56 students.

From the circle graph, we can draw the following conclusions:

Pop is the preferred music for 35% of the sample, which is equivalent to 0.35 x 400 = 140 students.

Therefore, conclusion (1) is incorrect.

Jazz is the preferred music for 14% of the sample, which is equivalent to 0.14 x 400 = 56 students.

Therefore, conclusion (2) is correct.

The combined percentage of Hip Hop, Rock, and Jazz is 13% + 25% + 14% = 52%, which is more than half of the sample.

Therefore, conclusion (3) is incorrect.

Hip Hop and Pop are the preferred music for 25% + 35% = 60% of the sample, which is equivalent to 0.6 x 400 = 240 students.

Therefore, conclusion (4) is incorrect.

Therefore, the only correct conclusion that can be drawn from the circle graph is that Jazz is the preferred music for 56 students.

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The derivative of function f(x) = x sinh(x) - 7 cosh(x) is f'(x) = x cosh(x) - 6 sinh(x) - 7 cosh(x).

To find the derivative of the function f(x) = x sinh(x) - 7 cosh(x), we need to apply the product rule of differentiation. The product rule states that the derivative of the product of two functions u(x) and v(x) is given by u'(x)v(x) + u(x)v'(x). So, let's start by finding the derivatives of the two functions: f(x) = x sinh(x) - 7 cosh(x), f'(x) = (x)' sinh(x) + x(sinh(x))' - (7)'cosh(x) - 7(cosh(x))'

Using the derivatives of the hyperbolic sine and cosine functions, we get f'(x) = sinh(x) + x cosh(x) - 7 (-sinh(x)) - 7 (cosh(x)). Simplifying further, we get: f'(x) = x cosh(x) - 6 sinh(x) - 7 cosh(x)

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True. The correlation coefficient (r) must also be positive, indicating a strong positive linear relationship between the two variables.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where a value of -1 indicates a perfectly negative linear relationship, a value of 1 indicates a perfectly positive linear relationship, and a value of 0 indicates no linear relationship.  If the slope (b) of ŷ is positive, it means that as the independent variable increases, the dependent variable also increases.

In addition to the above explanation, it is important to note that while a positive slope (b) of ŷ indicates a positive linear relationship between two variables, it does not necessarily mean that the correlation coefficient (r) will always be positive. For example, if there is a weak positive linear relationship between two variables, the correlation coefficient (r) may still be positive but not as strong as if there was a strong positive linear relationship. Similarly, there may be situations where the correlation coefficient (r) is positive but the slope (b) of ŷ is not positive, such as in a curvilinear relationship where the relationship between the two variables is not linear.

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Answer:

b^2√30b

Step-by-step explanation:

√30b^5 - Original

Break down the radical with its factors (factor tree)

√3*2*5*b*b*b*b*b  

See what perfect squares you can take out (Can take out four b terms)  You cant take out any perfect squares involving 30 since there are no perfect squares

b^2√3*2*5*b

b^2√30b

The indefinite integral of x^2 / √(4-x) dx is (-8/3)(4-x)^(3/2) + C, where C is the constant of integration.

To evaluate this integral, we can use the substitution method. Let u = 4-x. Then, du = -dx, and we can rewrite the integral as ∫ -x^2 / √u du. Next, we substitute u = 4-x back into the integral to obtain ∫ -x^2 / √(4-x) dx = -∫ x^2 / √u du.

Now, we can simplify the integral by factoring out the constant -1 from the integrand: -∫ x^2 / √u du = -∫ -x^2 / √u du = ∫ x^2 / √u du.

To proceed, we apply the power rule for integration, which states that ∫ x^n dx = (x^(n+1))/(n+1) + C. In this case, we have n = 2, so the integral becomes ∫ x^2 / √u du = (√u)^3/3 + C = (4-x)^(3/2)/3 + C.

Finally, we substitute the original variable back in, giving us the final result: (-8/3)(4-x)^(3/2) + C. Therefore, the indefinite integral of x^2 / √(4-x) dx is (-8/3)(4-x)^(3/2) + C, where C is the constant of integration.

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7.500 (rounded to 4 decimals) sum of the numbers on the balls.

Suppose we select two distinct balls

Then we have the following possibilities of selecting two balls

(2,2), (2,2) ............, i.e. 2 ways to get a sum of 4...............(2+2 = 4 and 2+2 = 4)    

(2,5), (2,5), (5,2), (5,2), i.e. 4 ways to get a sum of 7...............(5+2 = 7 and 2+5 = 7)    

(2,6), (2,6), (2,6), (2,6), i.e. 4 ways to get a sum of 8...............(2+6 = 8 and 6+2 = 8)    

(6,5), (5,6) , i.e. 2 ways to get a sum of 11...............(5+6 = 11 and 6+5 = 11)    

total number of possible outcomes =  2(for a sum of 4) + 4(for a sum of 7) + 4(for a sum of 8) + 2 (for a sum of 11)

= 2 + 4 + 4+2

= 12

So, P(getting a sum of 4) = (number of ways to get a sum of 4)/total number = 2/12

similarly,

P(getting a sum of 7) = (number of ways to get a sum of 7)/total number = 4/12

P(getting a sum of 8) = (number of ways to get a sum of 8)/total number = 4/12

P(getting a sum of 11) = (number of ways to get a sum of 11)/total number = 2/12

We know that expected value E[x] = sum of all individual sum values by their respective probability

= 4*(2/12) +7*(4/12) +8*(4/12) +11*(2/12)

= 0.6667 + 2.3333 + 2.6667 + 1.8333

= 7.500 (rounded to 4 decimals)

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Answer:

4x+y=−3

Step-by-step explanation:

simplify −4(x+2).

Apply the distributive property.

y−5=−4x-4⋅2

Multiply −4 by 2.

y−5=  --4x−8

Move all terms containing variables to the left side of the equation.

4x+y=−3

Answer:

I will try and give you the answer

Answer:

Representative sample is your answer ....

By using the principal of mathematical induction, it can be proved that

\(a_n = a_{n-1} - 2a_{n-2}+2\) for \(a_n = n^2\)

What is Principle of Mathematical Induction?

Suppose a statement P(n) is given. At first P(n) is proved to be true for

n =  1. Then P(n) is assumed to be true for n = m. If it can be proved that P(n) is true for n = m + 1, then by principle of Mathematical Induction, it can be proved that P(n) is true for all natural numbers

Here

\(a_n = n^2\\P(n) = 2a_{n-1} - a_{n-2} + 2\\P(0) = 0^2 = 0\\P( 1)= 1^2 = 1\\P(2) = 2a_1-a_0 + 2\\P(2) = 2(1)^2 - 0^2+2 =4\)

Let us assume P(0), P(1),... P(k) is true

\(a_{k+1} = 2a_k - a_{k-1} + 2\\a_{k+1} = 2k^2 - (k-1)^2 + 2\\a_{k+1} = 2k^2 - k^2 +2k -1 + 2\\a_{k+1} = k^2+2k + 1\\a_{k+1} = (k+1)^2\)

P(k+1) is true

By Principle of Mathematical Induction,

P(n) is true for all natural numbers

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Triangle ABC, we are given the measure of angle A as 30 degrees, the length of side AC as 10.7 cm, and the length of side BC as 6.5 cm.

To work out the value of sin(ABC), we can use the trigonometric ratio of the sine function.

The sine function relates the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle.

In the given information, we don't have a right triangle or the length of the side opposite angle ABC.

Without this information, it is not possible to calculate the value of sin(ABC) accurately.

If you have any other information regarding the triangle, such as the length of side AB or the measure of angle B or C, please provide it so that I can assist you further in calculating sin(ABC).

We may utilise the sine function's trigonometric ratio to get the value of sin(ABC).

The sine function connects the ratio of the hypotenuse length of a right triangle to the length of the side opposite an angle.

A right triangle or the length of the side opposite angle ABC are absent from the provided information.

The value of sin(ABC) cannot be reliably calculated without these information.

Please share any more information you may have about the triangle, such as the length of side AB or the size of angles B or C, so I can help you with the calculation of sin(ABC).

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The work done by the man against gravity in climbing to the top is approximately 6038.3787 ft-lbs.

To calculate the work done by the man against gravity in climbing to the top of the silo, we need to consider the gravitational potential energy. The work done is equal to the change in potential energy.

The gravitational potential energy can be calculated using the formula:

PE = mgh,

where PE is the gravitational potential energy, m is the mass, g is the acceleration due to gravity (approximately 32.2 ft/s^2), and h is the height.

In this case, the height of the silo is 80 ft. However, the man is making four complete revolutions, which means he is covering a greater vertical distance.

The vertical distance covered in four complete revolutions can be calculated using the formula:

d = 2πr,

where d is the distance, π is pi (approximately 3.14159), and r is the radius of the silo.

Given that the radius of the silo is 15 ft, the distance covered in four complete revolutions is:

d = 2π(15) = 30π ft.

Therefore, the total vertical height covered by the man is 80 ft + 30π ft.

Now we can calculate the work done:

Work = ΔPE = mg(Δh),

where Δh is the change in height.

Since the man starts at the bottom and goes to the top, the change in height is the total height covered: Δh = 80 ft + 30π ft.

The mass of the man is 190 lb, which can be converted to slugs (1 slug = 32.2 lb·s^2/ft) by dividing by the acceleration due to gravity:

m = 190 lb / 32.2 lb·s^2/ft = 5.90062 slugs.

Now we can calculate the work done:

Work = 5.90062 slugs × 32.2 ft/s^2 × (80 ft + 30π ft) = 6038.3787 ft-lbs.

Therefore, the work done by the man against gravity in climbing to the top is approximately 6038.3787 ft-lbs.

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The point of intersection of the lines is x = 2

The point of intersection of two lines is where the two lines meet

Given: y = 2x - 3 and y = -x + 3

We will combine the two equations by equating them:

2x - 3 = -x + 3

2x + x = 3 + 3

3x = 6

x = 6/3 = 2

Therefore, the two lines have an intersection at point x = 2

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Answer:

so basically, you want to solve the fraction. Remember with exponents, if the base is the same (in this case it is), you can ADD the exponents. 2/3 + -1/4 = 8/12-3/12 = 5/12

5 = a

12 = b

HOPE THIS HELPS!!!

Answer:

\(a = \frac{7}{2}\)  and  \(b = \frac{-69}{4}\)

Step-by-step explanation:

Given

\(y = x^2 + 7x - 5\)

Required:

Write as:

\(y = (x + a)^2 + b\)

Determine the values of a and b

\(y = x^2 + 7x - 5\)

\(y = (x + a)^2 + b\)

Expand

\(y = x^2 + 2ax + a^2 + b\)

So, we have:

\(y = x^2 + 2ax + a^2 + b\)

\(y = x^2 + 7x - 5\)

By comparison:

\(2ax = 7x\)

\(a^2 + b = -5\)

Solve for x in: \(2ax = 7x\)

\(2a = 7\)

Divide through by 2

\(a = \frac{7}{2}\)

Substitute \(a = \frac{7}{2}\) in \(a^2 + b = -5\)

\((\frac{7}{2})^2 + b = -5\)

\(\frac{49}{4}+ b = -5\)

Make b the subject

\(b = -5 -\frac{49}{4}\)

\(b = \frac{-20-49}{4}\)

\(b = \frac{-69}{4}\)

The mean weight loss of people on this drug, population mean, could be as low as 29 lbs  and if the study is repeated, the sample size should be at least 48 to achieve a margin of error less than 2 lbs.

(a) According to the information provided, the mean weight loss of people on this drug, population mean, could be as low as 29 lbs. This is calculated by subtracting the margin of error (±4 lbs) from the average weight loss (33 lbs): 33 - 4 = 29 lbs.

(b) To determine the required sample size for the study to be repeated with a margin of error less than 2 lbs, we can use the following formula for the margin of error (ME) with a known standard deviation (SD) and a confidence level (CL) of 95%:

ME = (1.96 * SD) / sqrt(n)

Here, ME = 2, SD = 7, and n is the sample size we need to find. Rearranging the formula to solve for n:

\(n = (1.96 * 7 / 2)^2\\n = (13.72 / 2)^2\\n = 6.86^2\)
n ≈ 47.1

Since we can't have a fraction of a sample, we round up to the nearest whole number. Therefore, if the study is repeated, the sample size should be at least 48 to achieve a margin of error less than 2 lbs.

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