Mr. Saunder bought a 19 pound turkey for Thankgiving. The total cot of the turkey wa $25. 65. What wa the cot of turkey per pound? Write an equation to repreent the ituation

The information given regarding the hair products, a styling cream and a mousse shows that it's not double bind.

The subjects in a single-blind study are not made aware of the research treatment, if any, they are receiving. In a double-blind study, the researchers and participants are both unaware of the treatment allocation.

Due to the fact that neither the participant nor the researcher are aware of who has got what therapy, double-blind trials are regarded as the most credible type of research. This is done in an effort to lessen bias and the placebo effect.

It should be noted that in this case, one group was assigned to use the styling cream for the next two weeks and the other group was assigned to use the mousse.

Both groups should have been given same product to illustrate the double bind in the experiment.

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Answer:

A = 125º

Step-by-step explanation:

Missing angle is the supplement of 157.5

180 - 157.5 = 22.5

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

Sum of angles in triangle is 180

22.5 + (-10x) + (-x + 20) = 180

Combine like terms

-11x + 42.5 = 180

Subtract 42.5 from both sides

-11x = 137.5

Divide both sides by -11

x = -12.5

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

A = -10(-12.5)

A = 125º

Answer:

a) Given two perpendicular sides of a square (as given in the diagram), we can construct two more perpendicular lines that are parallel to the initial two (since we are given their slopes). The intersection of these two lines is the unknown point.

b) From points A and C we can construct lines perpendicular from the lines coming out of point B. The intersections of these lines will be our unknown point.

Using proportions, it is found that the cost of a single rose is of 3.225 dollars = 322.5 cents.

A proportion is a fraction of a total amount.

In this problem, 12 roses cost $38.70, hence the price of a single rose is given by:

p = $38.70/12 = $3.225.

Considering one dollar has 100 cents, the price in cents is given by:

C = 3.225 x 100 = 322.5.

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Step-by-step explanation:

f + g and f - g are very simple concepts.

(f+g)(x) = f(x) + g(x)

and

(f-g)(x) = f(x) - g(x)

and so. ..

(f-g)(x) = 2x³ + 7x² - 4x - 5 - 3x - -2 = 2x³ + 7x² - 7x - 3

The value of solution is,

P(2Y ≥ X) = 7/18.

To find the value of c, we need to use the fact that the sum of the joint probabilities over all possible values of x and y must be equal to 1:

∑∑P(x, y) = 1

Hence, By Using the given probabilities, we get:

P(1, 1) + P(2, 1) + P(2, 2) + P(3, 1)

= c(1)(1) + c(2)(1) + c(2)(2) + c(3)(1)

= 9c = 1

Solving for c, we get:

c = 1/9

Now, to compute P(2Y ≥ X), we first need to find the region of the probability distribution that satisfies the inequality 2Y ≥ X.

This region is a triangle with vertices at (1/2, 1), (1, 1), and (1, 2): (1/2, 1)  (1,1) (1,2)

To find the probability of this region, we integrate the joint probability distribution function over this triangle:

P(2Y ≥ X) = ∫∫(x, y ∈ triangle) P(x, y) dx dy

Breaking up the integral into two parts (one for the triangle above the line y=x/2 and one for the triangle below), we get:

P(2Y ≥ X) = ∫(y=1/2 to y=1) ∫(x=2y to x=2) cxy dxdy + ∫(y=1 to y=2) ∫(x=y/2 to x=2) cxy dxdy

Evaluating the integrals, we get:

P(2Y ≥ X) = (1/3) c [(2) - (1/2)] + (1/3) c [(2) - (1/4)] = 7/18

Therefore, P(2Y ≥ X) = 7/18.

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There are a total of 7 ways to seat eight people around a table if Alice and Bob won't sit next to each other. This is because the seating arrangement must be a permutation of the seven people not including Alice and Bob.

We can calculate this by taking the factorial of the number of people not including Alice and Bob, which is seven. Since a factorial is the product of an integer and all the integers below it, we can calculate the factorial of seven by multiplying all the integers from one to seven.

This gives us 7=5040, which is the total number of ways to seat eight people around a table if Alice and Bob won't sit next to each other.

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Answer: I am terrible at these kinds of "sit-uating" problems (haha). My idea is that the three people can be situated in (3−1)!

ways and that the rest can be situated in (5−1)!

ways. Then, the ordering of the five people depends on the partitions of 5 into 3 groups:

Step-by-step explanation:

The required answer is  B. Test-takers who planned to apply for financial aid had scores with a smaller standard deviation, so this group had more consistent scores.

The College Board analyzed SAT scores in 2015. Math scores for the group who planned to apply for financial aid and the group who did not plan to apply for financial aid were both analyzed.

Test-takers who planned to apply for financial aid had a mean score of 507 and a standard deviation of 113.

Testtakers who did not plan to apply for financial aid had a mean score of 556 and a standard deviation of 118. To determine which group had a more consistent set of scores, we need to compare the standard deviations of the two groups.

Smaller standard deviation suggests that the values in a dataset are close to the mean while a larger standard deviation indicates that the values are widely spread out from the mean.

The required answer is  B. Test-takers who planned to apply for financial aid had scores with a smaller standard deviation, so this group had more consistent scores.

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The formula for the function P(x) representing the population of the town x years after 2003 is P(x) = 50,800 + 3,500x. Using this formula, the population of the town in 2015 will be 59,800 people.

To find the formula for the function P(x) representing the population of the town x years after 2003, we start with the initial population in 2003, which is 50,800 people. Since the population has been growing linearly by approximately 3,500 people each year, we can express this growth rate as 3,500x, where x represents the number of years after 2003.

Thus, the formula for the function P(x) is given by:

P(x) = 50,800 + 3,500x.

To determine the population of the town in the year 2015, we substitute x = 12 into the formula:

P(12) = 50,800 + 3,500(12) = 50,800 + 42,000 = 92,800.

Therefore, in 2015, the population of the town will be 92,800 people.

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The two numbers are 3 and 11 respectively

From the information given, we have that

The first number is x

The second number is y

Also,

2x - y = -5

x + y = 14

Make 'x' the subject from equation 2

x = 14 - y

Make 'x' the subject

2(14-y) - y = -5

28 - 2y - y= -5

collect like terms

-3y = -33

y = 11

Substitute the values

x = 3

Hence, the values are 3 and 11

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Answer:

18 and 3/4 rows of radishes

Step-by-step explanation:

6 + 4 + 7 = 17

3/4 + 3/4 + 1/4 = 7/4

7/4  = 1 3/4

17 + 1 3/4 = 18 3/4

Answer: 18 and 3/4 rows of radishes

Since all the fractions have the same denominator,

you can combine 3/4 + 3/4 + 1/4 together into 1 and 3/4

Adding in the numbers 7 + 4+ 6 and the 1 and 3/4 would amount to 18 and 3/4

Answer:

x=20

Step-by-step explanation:

The lines on the top and bottom are shown to be parallel and the line in between is a transversal. This means that the same side interior theorem applies. The same side interior theorem states that 2 angles on the same side of a transversal, inside 2 parallel lines will sum 180 degrees.

So, to solve, add the expressions together and set them equal to 180.

80+(4x+20)= 180

4x+100=180

4x=80

x=20

Answer:

Step-by-step explanation:

Let the number of miles = x

Rent charged by company A = 15 + 0.5x

Rent collected by company B = 25 + 0.25x

15 + 0.5x = 25 + 0.25x

0.5x - 0.25x + 15 = 25

0.25x + 15 = 25

0.25x = 25 - 15

0.25x = 10

x = 10/0.25 = 1000/25

x = 40 miles

Rental charge for both companies is same at 40 miles

The z-score for a data value of 80 in a data set with a mean of 52 and a standard deviation of 9 is approximately 3.1.

The formula for calculating the z-score is:

z = (x - μ) / σ

where x is the data value, μ is the mean, and σ is the standard deviation.

Substituting the given values, we get:

z = (80 - 52) / 9 = 3.11 (rounded to two decimal places)

Therefore, the z-score for a data value of 80 in a data set with a mean of 52 and a standard deviation of 9 is approximately 3.1.

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The z-score for a data value of 80 in this data set is approximately 3.1.

Calculate the z-score for a data value of 80 in a data set with a mean of 52 and a standard deviation of 9.

To find the z-score, follow these steps:

Identify the data value (x), mean (µ), and standard deviation (σ).

In this case, x = 80, µ = 52, and σ = 9.

Use the z-score formula:

z = (x - µ) / σ

Plug in the values:

z = (80 - 52) / 9

Perform the calculations:

z = 28 / 9

Round the answer to the nearest tenth: z ≈ 3.1

So, the z-score for a data value of 80 in this data set is approximately 3.1.

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Answer:

If 1 m/s is 1 meter per second, then it would take 5 seconds.

Answer:

Yes, it is correct

Step-by-step explanation:

If the temperature did not drop below 60 degrees, that means that it only stayed at 60 degrees or was higher than 60 degrees.

D is greater than or equal to 60 is the right inequality then.

Answer:

Option C

Step-by-step explanation:

\(\boxed{Log \ \dfrac{a}{b}=log \ a - log \ b}\\\\\boxed{(log \ a)^b=b*log \ a}\)

\(\sf log_w \ \dfrac{(x^{2}-6)^4}{\sqrt[3]{x^2+8} }=log_w \ (x^2-6)^4 - log_w(x^2+8)^{\frac{1}{3}}\)

                       \(\sf = 4*log_w \ (x^2 -6) - \dfrac{1}{3}log_w \ (x^2 + 8)\)

Given:

The inequality is

\(3|p+4|+5<8\)

To find:

The solution set for the given inequality.

Solution:

We have,

\(3|p+4|+5<8\)

\(3|p+4|<8-5\)

\(3|p+4|<3\)

Divide both sides by 3.

\(|p+4|<1\)

It can be written as

\(-1<p+4<1\)

Subtracting 4 from each side, we get

\(-1-4<p+4-4<1-4\)

\(-5<p<-3\)

The solution set of the given inequality is (-5,-3).

Therefore, the correct option is A.

Answer:

It's B

Step-by-step explanation:

edge2021

We will see that g(x) is a reflection over the y-axis of f(x).

For a given function f(x), we can define:

In this case we have:

f(x) = 0.7*(6)^x

g(x) = 0.7*(6)^-x = f(-x)

So is ratter easy to notice that g(x) is a reflection over the y-axis of f(x), so the correct option is:

"g(x) is the reflection of f(x) over the y-axis."

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x = 147 / 0.5446 ≈ 270.2 ft

To find the length of the guy wire for a radio transmission tower, trigonometry concepts are applied. Given a tower height of 160 feet, with the wire attached 13 feet from the top and making an angle of 29° with the ground, we can solve for the length of the guy wire, represented by x.

Using the Pythagorean theorem and considering the right triangle formed by the tower height, the wire attachment point, and the ground, we can set up the equation:

x = √((160 - 13)² + x²)

Next, we apply the tangent function to the given angle:

tan(29°) = (160 - 13) / x

Simplifying, we have:

0.5446 = 147 / x

To solve for x, we rearrange the equation:

x = 147 / 0.5446 ≈ 270.2 ft

Rounding to the nearest tenth of a foot, the length of the guy wire required is approximately 270.2 feet. This wire is attached 13 feet from the top of the tower and makes a 29° angle with the ground.

Trigonometry plays a crucial role in solving real-world problems involving angles and distances. It provides a mathematical framework for calculating unknown values based on known information, enabling accurate measurements and constructions.

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Answer:

Let -5x+y=-3 be the first equation, and 3x-8y=24 be the second. Let's manipulate the first equation by adding 5x to both side; resulting in y=-3+5x, or 5x-3. Now let's plug in 5x-3 for wherever y has been in the second formula. 3x-8(5x-3)=24. This is now pretty straightforward to solve for x. We distribute the 8 into (5x-3) and get 3x-40x-24=24. -48=27x. x=-48/27, x=-16/9.

Now let's plug in the x for either one of the equations to get y. 3(-16/9)+8y=24. -16/3+8y=24. 8y=24+16/3. 24y=72+16. 24y=88. y=88/24, y=11/3.

Step-by-step explanation:

Answer:

2nd option: It does not represent a function because a vertical line will cross the graph at more than one point.

Step-by-step explanation:

Even function needs to be able to pass the vertical line test in order to be considered a function. There shouldn't be multiple y-values paired with a single x-value.

The true relationship between the angle and the side of the triangle is that the largest angle is opposite the largest side. The correct option is D.

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

The properties of a triangle are:

Therefore, the true relationship between the angle and the side of the triangle is that the largest angle is opposite the largest side. The correct option is D.

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Answer:

a = 25

b= 1

\(25(1 + \sqrt{2} )\)

-Expand the brackets first

-than rationalise , to remove the square root from the denominator.

-lastly, simplify.

Hope I was able to help:)))

Answer:

\( \boxed{25}( \boxed{1} + \sqrt{2} )\)

Step-by-step explanation:

\( \frac{ {( \sqrt{32} + \sqrt{2} })^{2} }{ \sqrt{8} - 2} \\ \\ = \frac{ {( 4\sqrt{2} + \sqrt{2} })^{2} }{2 \sqrt{2} - 2} \\ \\ = \frac{ { {( \sqrt{2} )}^{2} ( 4 + 1 })^{2} }{2 (\sqrt{2} - 1)} \\ \\ = \frac{ { {2 ( 5} })^{2} }{2 (\sqrt{2} - 1)} \\ \\ = \frac{ 25 }{ (\sqrt{2} - 1)} \\ \\ = \frac{ 25( \sqrt{2} + 1) }{ (\sqrt{2} - 1)( \sqrt{2} + 1)} \\ \\ = \frac{ 25(\sqrt{2} + 1)}{ (\sqrt{2}) ^{2} - {(1)}^{2} )} \\ \\ = \frac{ 25(\sqrt{2} + 1)}{2 - 1} \\ \\ = \frac{ 25(\sqrt{2} + 1)}{1} \\ \\ = \boxed{25}( \boxed{1} + \sqrt{2} )\)

Answer:

n^2 + 6n + 1

Step-by-step explanation:

Firstly, we have to evaluate AB

What we have to do is to multiply A and B

We have this as;

n(2n + 6) = 2n^2 + 6n

Now, we have to subtract the value of C from here and that is;

(2n^2 + 6n) - (n^2 - 1)

2n^2 + 6n - n^2 + 1

= 2n^2 -n^2 + 6n + 1

= n^2 + 6n + 1

Answer:

B

Step-by-step explanation:

The interval of convergence is [0, 4). To find the radius of convergence, we use the formula:

R = lim┬(n→∞)⁡|aₙ/aₙ₊₁|

Here, aₙ = 4ⁿ ln(n) and aₙ₊₁ = 4ⁿ⁺¹ ln(n+1). Thus,

|aₙ/aₙ₊₁| = |ln(n)/(1+1/n) ln(n+1)| = |ln(n)/(ln(n)+ln(n+1))| = |1/(1+ln(1+n)/ln(n))|

As n approaches infinity, ln(1+n)/ln(n) approaches 1, so 1/(1+ln(1+n)/ln(n)) approaches 1/2. Thus,

R = lim┬(n→∞)⁡|aₙ/aₙ₊₁| = |1/2| = 1/2

Therefore, the radius of convergence is 4(1/2) = 2.

To find the interval of convergence, we need to check the endpoints x = 2 - R = 0 and x = 2 + R = 4. When x = 0, the series becomes

∑┬(n=2)^(∞)⁡(4ln(n)/n)

which is a convergent series by the integral test. When x = 4, the series becomes

∑┬(n=2)^(∞)⁡(8ⁿln(n))

which diverges, again by the integral test. Therefore, the interval of convergence is [0, 4).

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Answer:

pretty sure it’s 35.6

Step-by-step explanation: