Ella already knew 5 appetizer recipes before starting culinary school, and she will learn 2 new

appetizer recipes during each week of school. Write an equation that shows the relationship

between the number of weeks w and the number of appetizer recipes a.

Write your answer as an equation with a first, followed by an equals sign.

Answer:

Check the explanation

Step-by-step explanation:

(a)Let p be the smallest prime divisor of (n!)^2+1 if p<=n then p|n! Hence p can not divide (n!)^2+1. Hence p>n

(b) (n!)^2=-1 mod p now by format theorem (n!)^(p-1)= 1 mod p ( as p doesn't divide (n!)^2)

Hence (-1)^(p-1)/2= 1 mod p hence [ as p-1/2 is an integer] and hence( p-1)/2 is even number hence p is of the form 4k+1

(C) now let p be the largest prime of the form 4k+1 consider x= (p!)^2+1 . Let q be the smallest prime dividing x . By the previous exercises q> p and q is also of the form 4k+1 hence contradiction. Hence P_1 is infinite

Answer:

y = 8.1

Step-by-step explanation:

y+2.9=11

Subtract 2.9 from each side

y+2.9-2.9 = 11-2.9

y =8.1

Answer:

The answer is 16x^2-8x+8

The answer is c

Step-by-step explanation:

Answer:

The radius of hole is 5 feet

Step-by-step explanation:

Depth of conical hole = 9 feet

Let the radius of hole be r

Volume of conical hole =[tex]\frac{1}{3} \pi r^2 h[/tex]

So, Volume of conical hole =[tex]\frac{1}{3} \pi \times r^2 \times 9[/tex]

We are given that volume of a CONE-shaped hole is 75pi ft cubed.

So,[tex]\frac{1}{3} \pi \times r^2 \times 9=75 \pi[/tex]

[tex]\frac{1}{3} \times r^2 \times 9=75[/tex]

[tex]r^2=\frac{75 \times 3}{9}[/tex]

[tex]r=\sqrt{\frac{75 \times 3}{9}}[/tex]

r=5

Hence The radius of hole is 5 feet

Answer:

12 feet.

Step-by-step explanation:

Note that by definition of a square, all side measurements are the same (as all sides are congruent).

You can solve the area of square by using the following equation:

A (square) = s²

A (square) = side x side.

Plug in 9 for A in the equation:

9 = s²

Isolate the variable, s. Root both sides:

√9 = √s²

s = √9 = √(3 * 3) = 3

One side of the square is 3 feet.

Next, solve for the perimeter. A square has 4 congruent sides, so multiply 3 with 4:

3 x 4 = 12 feet

12 feet is your answer.

~

Answer:

  33 ft

Step-by-step explanation:

In a diagram of the geometry, you see that the angle of elevation is opposite the triangle leg representing the tree height, and is adjacent to the triangle leg representing distance from the tree.

The tangent ratio relates these lengths to the angle:

  Tan = Opposite/Adjacent

  Opposite = Adjacent×Tan

  tree height = (47 ft)tan(35°) ≈ 33 ft

The height of the tree is about 33 feet.

Answer:

B ✔️

Step-by-step explanation:

"Cell phones as an educational tool"

find the leght of the arch for one degree by doing

2.25 ÷ 114°

u will get

0.0197368421 ft every 1°

and since a full circumference is equal to 360°, just do this:

0.0197368421 ft × 360° = 7.10526315789 ft

ROUND IT OFFFFFF

u get 7.105 ft

VOILA

Answer: correct: B. If the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time, so the test is not statistically significant.

Step-by-step explanation:

the test of the statistical p helps us to find the probability that a statistical value occurs in the null hypothesis, in the exercise we obtain a value of p of 0.21, we assume that for it to have statistical significance the value must be less than 0.05 which is constant, if this result is higher it indicates that there is no statistically significant evidence

The expected mean weight gain of the broiler chickens after 5 generations of selection is 900 grams.

The expected mean weight gain of the broiler chickens can be calculated using the equation:

Σ = µ + (h^2 * S * t)

where µ is the initial population mean, h^2 is the heritability, S is the selection differential, and t is the number of generations.

From the question:

Substituting these values into the equation gives:

Σ = 700g + (0.80 * 50g * 5) = 700g + 200g = 900g

So, the expected mean weight gain after 5 generations of selection is 900 grams.

https://brainly.com/question/10458236

#SPJ11

After 5 generations of selection with a heritability of 0.80 and a selection differential of 50 g, the expected mean weight gain for the flock is 900 g.

To determine the expected mean weight gain after 5 generations, we use the breeder's equation, which is R = h²S, where R is the response to selection, h² is the narrow-sense heritability, and S is the selection differential.

⇒ R = h² x S

⇒ 0.80 x 50 g = 40 g

⇒ Total gain = R x 5

⇒ 40g/generations x 5 generations = 200 g

⇒ Expected mean weight gain after 5 generations = 700 g + 200 g

= 900 g

Thus, the expected mean weight gain after 5 generations of selection is 900 g.

Answer: Gary can travel 22 miles on 1 gallon gas.

Step-by-step explanation:

176/8 = 22

Answer:

C≈15.71cm

Step-by-step explanation:

C=2πr

d=2r

C=πd=π·5≈15.70796cm

The word that describes the four angles formed by the intersection of two perpendicular lines is "right angles" because they each measure 90 degrees and create an L-shaped corner.

The four angles formed by the intersection of two perpendicular lines are often described as "right angles." A right angle measures exactly 90 degrees, and it is the angle at which two lines meet and form a perfect L shape.

Right angles are a fundamental concept in geometry and have many practical applications in everyday life. They are essential in fields such as architecture, engineering, and mathematics. Right angles are known for their symmetry and balance, making them a crucial element in various geometric shapes and constructions.

In summary, the word that describes the four angles formed by the intersection of two perpendicular lines is "right angles" due to their characteristic 90-degree measurement and significance in geometry.

For more such questions on perpendicular lines

https://brainly.com/question/1202004

#SPJ3

Complete question below :

What word describes the four angles formed by the intersection of two perpendicular lines?

The final result is 17 hours and 50 minutes, or in military time format, 1750.

To subtract the military times 2330 and 0540, we can approach it as a regular subtraction problem, but we need to borrow from the hour when the minutes in the subtrahend (0540) are larger than the minutes in the minuend (2330). Since military time is on a 24-hour clock, we treat 2330 as 23 hours and 30 minutes, and 0540 as 5 hours and 40 minutes.

Step 1: Since we cannot subtract 40 minutes from 30 minutes, we need to borrow 1 hour from the 23 hours, converting it to 22 hours and 90 minutes.

Step 2: Now we subtract the minutes: 90 minutes - 40 minutes = 50 minutes.

Step 3: Then we subtract the hours: 22 hours - 5 hours = 17 hours.

So, the final result is 17 hours and 50 minutes, or in military time format, 1750.

Answer:

b

Step-by-step explanation:

all the options reflect the college's official's ability ot generalize the survey results except b. Option b represents a particular group of the total population.

The ability to generalize survey results is compromised when the survey is biased, the sample size is inadequate relative to the population, or the response rate is low. Each of the listed issues affects the generalizability of the survey outcome, with specific concerns in terms of sample representativeness and potential biases.

The question concerns the ability to generalize survey results to a larger population of dormitory students. Options a, b, and c each presents issues related to sample representativeness and survey methodology, which can affect the college official's ability to generalize findings.

Option a suggests that the sample may be too small relative to the total population. However, a random sample of 500 can theoretically represent 5,000 students well if selected appropriately. Option b indicates a selection bias because only first-year students were surveyed, which does not reflect the entirety of dormitory residents.

Option c points to a low response rate, which can result in nonresponse bias if the 160 respondents have different preferences than those who did not respond.

Answer: x=-5 or x=-8

Step-by-step explanation:

x^2+13x+40=0

x^2 + 8x + 5x +40=0

x(x+8)+5(x+8)=0

(x+5)(x+8)=0

x+5=0 or x+8=0

x=-5 or x=-8

Answer:

y=-3x2 - 12x+6 ,     x = -(-12)/2*3 = 2  this one has axis of symmetry  x = 2

Step-by-step explanation:

y = 3x² + 12x+6  :    x = -12/6 = -2

y = 3x2 - 6x+12 ,    x = -(-6)/2*3 = -1

y=-3x2 - 12x+6 ,     x = -(-12)/2*3 = 2  this one

y=-3x2 + 12x+6 ,   x = -12/2*3 = -2

Answer:

26

Step-by-step explanation:

To find the area of a triangle, you simply need to multiply the base by the height and divide by 2. In this case, 13*4/2=26 square centimeters. Hope this helps!

Answer:

8% probability that Anthony will soon be playing on the Acme golf team

Step-by-step explanation:

We have these following probabilities:

10% probability that he is hired by the corporation.

If he is hired by the corporation, an 80% probability that he will earn a spot on the golf team.

Given this information we can estimate that the likelihood that Anthony will soon be playing on the Acme golf team to be:

80% of 10%

So

P = 0.8*0.1 = 0.08

8% probability that Anthony will soon be playing on the Acme golf team

Answer:

Area: 48 sq. units

Perim: 28 units

Step-by-step explanation:

The distance between (-4, 3) and (-4,-3) is 6. The distance between (-4,-3) and (4,-3) is 8. So, 6 x 8 is 48, and that is the area.

6, 6, 8, and 8 are the lengths, so add those up to find the perimeter and you get 28.

Answer:

the answer is answer b, or 30.83ft

Step-by-step explanation:

Step-by-step explanation:

10= - 9 - X

- x - 9 = 10

-× = 10 + 19

-× =19

× = -19

Answer:

96 apples

Step-by-step explanation:

100-4=96

Answer:

96

Step-by-step explanation:

Bruh just subtract 4 from 100 like seriously XD

Answer:

y=-28

Step-by-step explanation:

add 4 to both sides which gets you -y =28. Then you have to move the negative sign to the other side because y can't end with a negative

Answer:

John had $572 in his savings account.

Step-by-step explanation:

Let the total amount John took from his savings account be T.

He spent $52. That means he has $(T - 52) left.

He then spent 1/2 of what was left on presents for his friends. That is:

[tex]\frac{1}{2} * (T - 52) = \frac{T - 52}{2}[/tex]

Which means he is left with another half of what was left, that is, [tex]\frac{T - 52}{2}[/tex]

Of the money remaining, John put 4/13 into checking account.

This means that he is left with 9/13 of [tex]\frac{T - 52}{2}[/tex].

We are told that this is equivalent to the last remaining $180 that John left to charity.

=> [tex]\frac{9}{13} * \frac{T - 52}{2} = 108[/tex]

Hence:

[tex]\frac{9(T - 52)}{13 * 2} = 180\\\\9(T - 52) = 180 * 13 * 2\\\\9(T - 52) = 4680\\\\T - 52 = \frac{4680}{9} = 520\\\\[/tex]

=> T = 520 + 52 = $572

Hence, John took $572 from his savings account. Since this is all he had in his savings account, John had $572 in his savings account.

Working backward, we determined that John originally had $572 in his savings account before spending on the radio, presents, putting money into his checking account, and giving to charity.

To solve this mathematics problem, we need to work backward from the information provided. John spent $52 on a radio and then spent half of the remaining amount on presents. After that, he put 4/13 of the remaining money into his checking account and then gave $180 to charity. Let's represent the original amount of money John had as x.

After buying the radio, John had x - $52 left. He then spent half on presents, so he had (x - $52)/2 remaining. After putting 4/13 of what was left into his checking, the equation becomes ((x - $52)/2) * (9/13) since 9/13 is the complement of 4/13, which goes into the checking account. This amount equaled the last remaining $180.

The equation to find the original amount x is:
(((x - $52) / 2) * (9/13)) = $180

Now solve for x:

So, the original amount of money John had was $572.

https://brainly.com/question/28904617

#SPJ3

Answer:

  £7.43

Step-by-step explanation:

The total cost is ...

  13s +22t = 363.01

  13(15.35) +22t = 363.01 . . . . fill in the cost of a shirt

  22t = 163.46 . . . . . . . . . . . . . subtract 199.55

  t = 7.43 . . . . . . . . . . . divide by 22

The cost of a tie is £7.43.

Answer:

The Null Hypothesis is  [tex]H_o:k_o = 0.07[/tex]

The alternative hypothesis is  [tex]H_a :k_o \ne 0.07[/tex]

Decision rule

    If the test staistics is  greater than the critical value of significance level then [tex]H_o[/tex] is accepted else [tex]H_o[/tex]  is rejected

With the above in mind

       The critical value of the significance level which is obtained from the table is

     [tex]t_{0.05} = 1.645[/tex]

Now since the critical value of significance level is greater than the test  staistics then the null hypothesis will be rejected

Conclusion

The information is not enough to back the claim that state differs from the nation

Step-by-step explanation:

From the question we are told that

The percentage of US female workers paid at the minimum wage or less is  [tex]k_o =[/tex] 7% = 0.07

  The sample size is  [tex]n = 500[/tex]

    The number paid minimum wage or less is  x = 42

    The significance level is [tex]\alpha =[/tex]5%  = 0.05

Now the probability of getting a US female workers paid at the minimum wage or less is mathematically represented as

         [tex]\= k = \frac{x}{n}[/tex]

substituting value

        [tex]\= k = \frac{42}{500}[/tex]

        [tex]\= k = 0.084[/tex]

The Null Hypothesis is  [tex]H_o:k_o = 0.07[/tex]

The alternative hypothesis is  [tex]H_a :k_o \ne 0.07[/tex]

Generally the test statistics is mathematically evaluated as

        [tex]z = \frac{\= k - k_o}{\sqrt{\frac{k_o(1-k_o)}{n} } }[/tex]

substituting value

      [tex]z = \frac{0.084 - 0.07}{\sqrt{\frac{0.07 (1-0.07)}{500} } }[/tex]

     [tex]z = 1.23[/tex]

Now the Decision rule is stated as  

        If the test staistics is  greater than the critical value of significance level then [tex]H_o[/tex] is accepted else [tex]H_o[/tex]  is rejected

With the above in mind

       The critical value of the significance level which is obtained from the table is

     [tex]t_{0.05} = 1.645[/tex]

Now since the critical value of significance level is greater than the test  staistics then the null hypothesis will be rejected

   So the conclusion will be

   The information is not enough to back the claim that state differs from the nation

Answer:

D.

Step-by-step explanation:

i took the quiz

Answer:

351.68

Step-by-step explanation:

c = 2πr

c = 2(3.14)(56)

c = 6.28(56)

c = 351.68

Answer:

Step-by-step explanation:

Answer:28.8 m

Step-by-step explanation:

length of arc=theta/360 x 2 x π x radius

Length of arc=150/360 x 2 x3.14x11

length of arc=(150x2x3.14x11) ➗ 360

Length of arc =10362 ➗ 360

Length of arc =28.8