the bakers at noah's bagels can make 340 bagels in 4 hours so how many can they make in 10 hours ?​

AB and AC are equal in length and are represented by x, while BC (the hypotenuse) is √2 times the length of either leg.

We have,

The given triangle is an isosceles triangle.

So,

The angles opposite to the equal sides are equal.

The other angle = 90

Now,

The sum of the triangle = 180

So,

90 + 2x = 180

2x = 180 - 90

2x = 90

x = 45

Now,

In a right triangle with ∠A = 90 degrees, ∠B = 45 degrees, and ∠C = 45 degrees, we have a special case known as a 45-45-90 triangle.

In a 45-45-90 triangle, the sides are in a specific ratio: 1 : 1 : √2.

Let's use this ratio to find the lengths of the sides:

Since AB = AC, let's denote both lengths as x.

AB = AC = x

BC is the hypotenuse, which is √2 times the length of either leg:

BC = √2x

So, the lengths of the sides are:

AB = AC = x

BC = √2 * x

Therefore,

AB and AC are equal in length and are represented by x, while BC (the hypotenuse) is √2 times the length of either leg.

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To determine the sample size needed, we would need the value of the population standard deviation (σ) in order to calculate it using the equation n = σ² / s², where n represents the sample size and s represents the standard deviation of the sampling distribution.

To find the sample size needed, we can use the equation that relates the population standard deviation (σ), the sampling distribution's standard deviation (s), and the sample size (n). The equation is:

s = σ / √n

We are given that the standard deviation of the sampling distribution (s) is 0.01 grams per mile. We need to rearrange the equation to solve for the sample size (n). By squaring both sides of the equation, we get:

s² = (σ / √n)²

s² = σ² / n

n = σ² / s²

Therefore, to find the sample size needed, we divide the population standard deviation (σ) squared by the sampling distribution's standard deviation (s) squared.

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Answer:

We get t= 7.22 and t=0.28

The correct options are Option A and Option G

Step-by-step explanation:

The height h of toy rocket at time t seconds after  launch is given by the equation \(h(t) = -16t^2 + 120t + 8\)

We need to find how many seconds  until the rocket is 40 feet?

We are given height of rocket h(t) = 40 feet

and we need to find time t

Using the equation \(h(t) = -16t^2 + 120t + 8\) we can find time t

We have h(t)=40

\(h(t) = -16t^2 + 120t + 8\\Put\:h(t)=40\\40= -16t^2 + 120t + 8\\16t^2-120t-8+40=0\\16t^2-120t+32=0\)

Now, we will solve the quadratic equation using quadratic formula: \(t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

We have a =16, b=-120 and c=32

Putting values and finding t

\(t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\t=\frac{-(-120)\pm\sqrt{(-120)^2-4(16)(32)}}{2(16)}\\t=\frac{120\pm\sqrt{14400-2048}}{32}\\t=\frac{120\pm\sqrt{12352}}{32}\\t=\frac{120\pm111.12}{32}\\t=\frac{120+111.12}{32}, t=\frac{120-111.12}{32}\\t=7.22\:,\:t=0.28\)

So, we get t= 7.22 and t=0.28

The correct options are Option A and Option G

Answer:

y = 4(0.75) or y = 3

Step-by-step explanation:

The question is incomplete. Here is the complete question:

The cost saver grocery club sells sheet cakes. Each 1/4 sheet of cake requires 0.75 teaspoon of baking soda. Which expression can be used to find the amount of baking soda needed for a whole cake? Select all the expressions that apply.

Let the amount baking soda required for a whole cake be y.

If each 1/4 sheet of cake requires 0.75 teaspoon of baking soda, the expression that can be used to find the amount of baking soda needed for a whole is as shown below;

1/4 sheet of cake = 0.75 teaspoon of soda

1 sheet of cake = y teaspoon of soda

cross multiply

1/4 * y = 1 * 0.75

y/4 = 0.75

multiply both sides by 4

y/4 * 4 = 0.75 * 4

y = 4(0.75)

y =  3 teaspoon of baking soda

Answer:

t = 3.46 hours, or 3 hours 28 minutes

Step-by-step explanation:

78 dozen donuts in 2 hours immediately reduces to 39 dozen/hour.

Donuts produced as a function of time:   D(t), where t is the number of hours the macine runs.

Set D(t) = 135 dozen = (39 dozen/hr)t.

Solving this equation for t, we get:

t = 135/39 hours, or t = 3.46 hours, or 3 hours 28 minutes

The profit-maximizing number of years (t) that a forester would wait before harvesting the timber is approximately 9.9 years.

Given the volume of timber in a forest at a certain time (t) as: V(t) = 10t - 0.2t^2

Let's differentiate the given volume function w.r.t 't' to find the maximum value of timber as follows:

           dV(t)/dt = 10 - 0.4t

Now, equate dV(t)/dt = 0 to find the value of 't' for which V(t) is maximum.0

                                   = 10 - 0.4t0.4t = 10t

                                   = 10/0.4t = 25years

Therefore, the number of years that would be associated with the maximum volume of timber is 25 years.

Let's suppose the volume of timber in a forest is given by the function: V(t) = 20t

We need to find the profit-maximizing number of years (t) that a forester would wait before harvesting the timber when the interest rate is 20%.

It is given that, the interest rate (i) = 20%

                                                        =0.2

The cost of harvesting the timber is given by the formula:

                                           C = K +r*W where K is the fixed cost,

r is the interest rate,

and W is the amount of timber harvested.

Let's suppose the fixed cost (K) = $50 and the price of timber (p)

                                                    = $10 per unit.

Therefore, the profit function can be written as:

P(t) = p*V(t) - C

     = $10*20t - (50 + 0.2*10t)

     = $200t - 50 - 2t= 198t - 50

Now, differentiate P(t) w.r.t t to find the value of t for which P(t) is maximum.

dP(t)/dt = 198Equating dP(t)/dt  

= 0, we get,0

= 198t

= 198/20t

= 9.9

Therefore, the profit-maximizing number of years (t) that a forester would wait before harvesting the timber is approximately 9.9 years.

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The area to the right of the z-score 1.40 and to the left of the z-score 1.58 is the difference between the areas to the left of these two z-scores.

To find the area to the right of the z-score 1.40 and to the left of the z-score 1.58 under the standard normal curve,

we can use a standard normal distribution table or a calculator that provides the area under the normal curve.

The area to the right of a z-score is equal to 1 minus the area to the left of that z-score.

Therefore, the area to the right of the z-score 1.40 and to the left of the z-score 1.58 is the difference between the areas to the left of these two z-scores.

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Answer:

i need a picture for this problem.

Step-by-step explanation:

Answer:

250°

Step-by-step explanation:

Got it right on edge

Answer:

\(x->-2^{-}, p(x)->-\infty\) and as \(x->-2^{+}, p(x)->-\infty\)

Step-by-step explanation:

Given

\(p(x) = \frac{x^2-2x-3}{x+2}\) -- Missing from the question

Required

The behavior of the function around its vertical asymptote at \(x = -2\)

\(p(x) = \frac{x^2-2x-3}{x+2}\)

Expand the numerator

\(p(x) = \frac{x^2 + x -3x - 3}{x+2}\)

Factorize

\(p(x) = \frac{x(x + 1) -3(x + 1)}{x+2}\)

Factor out x + 1

\(p(x) = \frac{(x -3)(x + 1)}{x+2}\)

We test the function using values close to -2 (one value will be less than -2 while the other will be greater than -2)

We are only interested in the sign of the result

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

As x approaches -2 implies that:

\(x -> -2^{-}\) Say x = -3

\(p(x) = \frac{(x -3)(x + 1)}{x+2}\)

\(p(-3) = \frac{(-3-3)(-3+1)}{-3+2} = \frac{-6 * -2}{-1} = \frac{+12}{-1} = -12\)

We have a negative value (-12); This will be called negative infinity

This implies that as x approaches -2, p(x) approaches negative infinity

\(x->-2^{-}, p(x)->-\infty\)

Take note of the superscript of 2 (this implies that, we approach 2 from a value less than 2)

As x leaves -2 implies that: \(x>-2\)

Say x = -2.1

\(p(-2.1) = \frac{(-2.1-3)(-2.1+1)}{-2.1+2} = \frac{-5.1 * -1.1}{-0.1} = \frac{+5.61}{-0.1} = -56.1\)

We have a negative value (-56.1); This will be called negative infinity

This implies that as x leaves -2, p(x) approaches negative infinity

\(x->-2^{+}, p(x)->-\infty\)

So, the behavior is:

\(x->-2^{-}, p(x)->-\infty\) and as \(x->-2^{+}, p(x)->-\infty\)

The graph of a proportional relationship is a line through the origin or a ray whose endpoint is the origin

3. No because it's a line that doesn't go through the origin

4. Yes because it's a line through the origin

5. Yes because 1/3 = 2/6 = 3/9 = 4/12

6. No because 4/2 isn't equal to 8/5

7. Draw a graph just like 4., but change the y-axis

8. a. Let the equation be y = ax. 27 = 3a. a = 9. Therefore the equation is y = 9x.

8. b. 9

8. c. 9 * 5 = 45

9. a. The car travels 25 (> 18) miles per gallon of gasoline.

9. b. 25 * 8 - 18 * 8 = 7 * 8 = 56

Hello !

Answer:

\(\boxed{\sf d=\sqrt{41}\approx6.4}\)

Step-by-step explanation:

The distance between two points A and B is given by the following formula:

\(\sf AB=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\)  considering \(\sf A(x_A,y_A)\) and \(\sf B(x_B,y_B)\).

Given :

Let's replace the coordinates with their values in the previous formula :

\(\sf AB=\sqrt{(-2-(-6))^2+(7-2)^2}\\AB=\sqrt{4^2+5^2}\\AB=\sqrt{16+25}\\\boxed{\sf AB=\sqrt{41}\approx6.4}\)

Have a nice day ;)

The median for the given sample of data is A. 20.

To find the median for the given sample of data, we need to arrange the numbers in ascending order and then find the middle value.

Arranging the numbers in ascending order: 16, 17, 18, 18, 19, 19, 21, 22, 22, 23, 25

There are 11 numbers in the sample, so the middle value is the (11 + 1) / 2 = 6th value.

The 6th value in the ordered list is 19.

Therefore, the median for this sample of data is A. 20.

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Hence, while purchasing 4 books, both book clubs will impose the same price. Thus, 4 books are the correct response (C).

The volume, quantity, or level about something measured every unit of another. a payment or charge that is predicated on another sum. specifically: the premium per insurance unit. rate transitive

Let's designate "Cost A" for the overall cost of joining a book club and purchasing a specific quantity of titles from club A, and "Cost B" for the overall cost of joining a book club and purchasing a specific quantity of titles from club B.

Cost A = $6 + $3 x (number of books)

Cost B = $2 + $4 x (number of books)

The quantity of books where Cost A = Cost B is what we're looking for is:

$6 + $3 x (number of books) = $2 + $4 x (number of books)

When we simplify this equation, we obtain:

$4 = $1 x (number of books)

Number of books = 4

So, the two book clubs will charge the same price when buying 4 books. Therefore, the answer is (C) 4 books.

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Answer:

0.72727272727

Step-by-step explanation:

Answer:

\(\frac{8}{11}\)

Step-by-step explanation:

You need to make it into an improper fraction first. Multiply 1 times 8 and add the three to get the numerator, which is 11. The improper fraction is \(\frac{11}{8}\). To find the reciprocal, all you need to do is flip it. This gives you \(\frac{8}{11}\).

Answer:

Q = 12 units

Step-by-step explanation:

Pythagoras’ Theorem

a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substitute given values into the formula and solve for Q:

⇒ a² + b² = c²

⇒ 5² + Q² = 13²

⇒ 25 + Q² = 169

⇒ Q² = 169 - 25

⇒ Q² = 144

⇒ Q = √144

⇒ Q = 12 units

Answer:

Q = 12 units

Step-by-step explanation:

Answer:

  6

Step-by-step explanation:

You want to know the number of uphill integers divisible by 15, where an uphill integer is one that has its digits strictly increasing.

An integer will be divisible by 15 if and only if it is divisible by 3 and 5. An integer is divisible by 5 if it ends in 5 or 0. An uphill integer cannot end in 0, so must end in 5.

An integer is divisible by 3 if the sum of its digits is divisible by 3

An uphill integer will have differences between successive digits that are positive integers. In order for the final digit to be 5, the sum of these differences must be 5. Hence we can find uphill integers by considering the "integer partitions" of 5: the sets of positive integers whose total is 5. Those sets would be ...

  {5}, {4, 1}, {3, 1, 1}, {2, 2, 1}, {2, 1, 1, 1}, {1, 1, 1, 1, 1}

Uphill integers will also have digit differences that are some permutation of each of these sets. For example, the digit differences may be {4, 1} or {1, 4}, corresponding to the numbers 45 or 15.

The uphill integers that end in 5 are ...

  5, 45, 15, 35, 25, 345, 145, 125, 245, 235, 135, 2345, 1345, 1245, 1235, 12345

We already know each of these is divisible by 5. The ones that have a digit total that is a multiple of 3 are ...

  15, 45, 135, 345, 1245, 12345

There are 6 uphill integers divisible by 15.

Answer:

40+s

Step-by-step explanation:

Answer:

40+s

Step-by-step explanation:

Matt has 40 big spoons.

He has s small spoons.

We need to add these together to find the total number of spoons.

It would simply be number of big spoons plus number of small spoons.

Therefore, the expression would be 40+s

This situation should be analyzed using a two-sample independent method. The two-sample independent method is used when comparing two independent groups, in this case, taxi ride times in San Diego and Phoenix. The two-sample paired method is used when comparing the same group under two different conditions, which is not the case here, as the taxi ride times are taken from two separate cities. There is no common characteristic that makes these data paired.

A two-sample independent method is used to compare the means of two independent populations, which is appropriate for this situation. The independent samples t-test is a common statistical test used to compare the means of two independent populations.On the other hand, if the data were obtained from the same set of taxis in both cities or from the same set of riders in both cities, then the situation would be a paired situation, and a two-sample paired method would be more appropriate.Paired data refers to data that is collected from the same sample, subject, or group at different points in time or under different conditions. For example, if the data were obtained from the same set of taxis in both cities, then the data would be paired because each taxi in San Diego would have a corresponding taxi in Phoenix. Similarly, if the data were obtained from the same set of riders in both cities, then the data would be paired because each rider in San Diego would have a corresponding rider in Phoenix.In summary, since the data in this situation were obtained from two different cities, a two-sample independent method is appropriate. If the data were obtained from the same set of taxis or riders in both cities, a two-sample paired method would be appropriate.

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Answer: 420 kg

Step-by-step explanation: 80(the weight of each person) x5 (the ppl) = 400

400+20(the weight of tools) =420

The correct graph that models this exponential decay would show a decreasing trend as x (the number of years) increases. we need to consider the information given regarding its decrease in value.

The piece of machinery decreases in value by 22.5% each year. This means that its value after one year is \(100\% - 22.5\% = 77.5\%\) of its original value. In other words, its value is 0.775 times its original value.

To model the value of the machinery after x years, we need to consider the exponential decay function. The general form of an exponential decay function is:

y = \(a(1 - r)^x\)

Where:

- y represents the value after x years.

- a represents the initial value.

- r represents the decay rate (expressed as a decimal).

In this case, the initial value (a) is $150,000 and the decay rate (r) is 22.5% or 0.225.

Therefore, the equation representing the value of the piece of machinery after x years would be:

y = \(\$150,000 * (1 - 0.225)^x\)

Simplifying the equation further, we have:

y = \(\$150,000 * (0.775)^x\)

From this equation, we can see that the value of the machinery decreases exponentially over time. The correct graph that models this exponential decay would show a decreasing trend as x (the number of years) increases.

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Answer:

B!

Step-by-step explanation:

you have to simply the 2/6 to 1/3

Answer:

7/12

Step-by-step explanation

Write all numerators above the LCD (least common denominator) 12

Answer:

number of students that play an instrument= 61

Step-by-step explanation:

Giving the following information:

20% of the students play an instrument

Number fo students= 305

To calculate the number of students that play an instrument, we need to use the following formula:

number of students that play an instrument= total students*proportion of students

number of students that play an instrument= 305*0.2

number of students that play an instrument= 61

what is 20 percent of 305

61

just did a test with that question got it right

Answer:

Answer is D

Just expand

And remember

\( \sqrt{ - a} = \sqrt{a} i\)

Goodluck tomorrow

Answer:

hfjf fnnc v jud dbhj  ejem emd  jfbf

Step-by-step explanation:

Answer:

option d. Both A and B must be true.

13√5a+√a

Step-by-step explanation:

Rút các số hạng ra khỏi dấu căn (√), giả sử là các số thực dương.

The null hypothesis to be that the man has no heart attack. the probability of making a type ii error is: true

Define the type-ii error in the context of hypothesis testing as

Type -ii error

Not rejecting the null hypothesis (\(m_{0}\)); When \(m_{0}\) is actually false

Therefore P(Type-ii error)

=P[Not rejecting \(m_{0}\)/\(m_{0}\) is actually false]

In the given scenario; the null and alternative hypothesis are defined as

\(m_{0}\): the man has no heart attack

\(m_{1}\): the has a heart attack

Now, the probability of committing a type-ii error, can be defined as

P(Type-ii error) = P[The hospital does not admit him as a heart attack patient(i.e., \(m_{0}\) is not rejected) | the man has a heart attack (i.e., \(m_{0}\) is actually false)]

Hence, the given statement is true.

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