a croissant shop has plain croissants, cherry croissants, chocolate croissants, almond croissants, apple croissants, and broccoli croissants. how many ways are there to choose 16 croissants?

Answer:

26 cans of food

Answer:  34

Step-by-step explanation: 3*10= 30  2*2=4  30+4=34

Answer: 9

Step-by-step explanation:

(x-3)^2=x^2-6x+9

(x-a)^2=x^2-2ax+a^2)

The curl of a conservative vector field is always zero. This can be shown by using the fact that the gradient of a scalar field is irrotational, or has zero curl.

The curl of a vector field is a measure of how much the vector field rotates around a point. A conservative vector field is a vector field whose work is path independent. This means that the work done by the vector field over any closed path is zero.

The gradient of a scalar field is a vector field that points in the direction of the steepest ascent of the scalar field. The gradient of a scalar field is irrotational or has zero curl. This means that the curl of the gradient of a scalar field is always zero.

Therefore, the curl of a conservative vector field is always zero. This is because the gradient of a conservative vector field is irrotational, and the curl of the gradient of a scalar field is always zero.

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Answer:

138 square units

Step-by-step explanation:

area of rectangle:  12 x 5 = 60

area of triangle:  1/2(6)(4) = 12

area of trapezoid:  1/2(6)(10 + 12) = 3(22) = 66

60 + 12 + 66 = 138

Answer:

The answer is G = -5

Step-by-step explanation:

your welcome :)

A. It is very useful for predicting wine quality because the coefficient of determination is close to 1.

To calculate the coefficient of determination r^2, use the formula: r^2 = SSR / SST

Given, SSR = 18,443 and SST = 29,453, so: r^2 = 18,443 / 29,453 ≈ 0.626
R^2 = 0.626

It means that 62.6% of the variation in wine quality can be explained by the variation in alcohol content.

b. Determine the standard error of the estimate.
To calculate the standard error of the estimate (Syx), use the formula: Syx = sqrt((SST - SSR) / (n - 2))

where n is the sample size (12 in this case). So,
Syx = sqrt((29,453 - 18,443) / (12 - 2)) ≈ sqrt(11,010 / 10) ≈ sqrt(1101) ≈ 33.17
Syx = 33.17

c. How useful do you think this regression model is for predicting wine quality?

Since the coefficient of determination (r^2) is 0.626, which is closer to 1 than 0, the correct answer is:
A. It is very useful for predicting wine quality because the coefficient of determination is close to 1.

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The area of triangle EFG, to the nearest square inch, is approximately 1061 square inches.

To find the area of triangle EFG, we can use the formula:

\(Area = (1/2) \times base \times height\)

In this case, the base of the triangle is FG, and the height is the perpendicular distance from vertex E to side FG.

First, let's find the length of FG. We can use the law of cosines:

FG² = EF² + EG² - 2 * EF * EG * cos(∠F)

EF = 72 inches

EG = 34 inches

∠F = 21°

Plugging these values into the equation:

FG² = 72² + 34² - 2 * 72 * 34 * cos(21°)

Solving for FG, we get:

FG ≈ 83.02 inches

Next, we need to find the height. We can use the formula:

height = \(EF \times sin( \angle F)\)

Plugging in the values:

height = 72 * sin(21°)

height ≈ 25.52 inches

Now we can calculate the area:

\(Area = (1/2) \times FG \times height\\Area = (1/2)\times 83.02 \times 25.52\)

Area ≈ 1060.78 square inches

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D. not continuous at X=0

if you trace the function you'll find a jump in the graph. To be continuous the line can't have any breaks in it. In this example, it's discontinuous when X=0

Answer:

See Explanation

Step-by-step explanation:

Now;

From;

P=Poe^kt

Where;

P = population at time=t

Po = population initially present

k = growth rate

t = time taken

a) The function is;

P= 112,000e^0.04t

b) In the year 2004, the population will be

P= 112,000e^0.04(6)

P= 142380

c) 200,000 =112,000 e^0.04t

200,000/112,000 =  e^0.04t

1.786 = e^0.04t

ln 1.786 = ln e^0.04t

ln 1.786= 0.04t

t = ln 1.786/0.04

t = 14.5 years

we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs?  well, just 76% of those 350

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266\)

Answer: $48

Step-by-step explanation:

If $12 = 1/5, then 12 * 5 = $60 total

$60 - $12 = $48 spent

Answer: Originally Ofeila had 12,2$

Step-by-step explanation:

equation: x-12=\(\frac{1}{5}\) / ×5                               x=original amount of money

5x-60=1 /+60

5x=61 /:5

x=12,2

check:

12,2-12=\(\frac{1}{5}\)

0,2=\(\frac{1}{5}\) /×5

1=1

Answer:

2.31 ×10 ^− 2

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

what's the question?

Step-by-step explanation:

and the problem?

Answer:

Please could you add some more info.

Thank you

Answer:

12.56 in squared

Step-by-step explanation:

the formula for area is      radius x radius x pi

So you do 2x2x3.14

(I would just do 4x3.14)

And then you get 12.56

Answer:

y = 4/3 x + 10

Step-by-step explanation:

gradient of perdicular line 4/3

equation of the line will be y = 4/3 x + 10

The correct set of hypotheses is: b. H0: μ ≤ 10.0% Ha: μ > 10.0%.

In hypothesis testing, the null hypothesis (H0) represents the statement that is being tested or assumed to be true, while the alternative hypothesis (Ha) represents the statement that contradicts or challenges the null hypothesis. In this case, the null hypothesis states that the average yearly rate of return on the stocks is less than or equal to 10.0%, and the alternative hypothesis states that the average yearly rate of return on the stocks is greater than 10.0%.

By formulating the hypotheses in this way, you are testing whether there is sufficient evidence to support the claim made by your investment executive that the average yearly rate of return on the stocks she recommends is at least 10.0%.

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The estimated time for USA 1 on Run 2 is 3.45 seconds.

The correlation coefficient between the times of a team's first and second runs is 0.7. If this correlation is equal to the optimal shrinkage estimator coefficient, the estimated time for USA 1 on Run 2 can be calculated using the following formula:

T₁= µ₁ + λ(T₂ - µ₂)

Where:

T₁ = estimated time for USA 1 on Run 2

T₂ = time of USA 1 on Run 2

µ₁ = mean time of all teams on Run 1

µ₂ = mean time of all teams on Run 2

λ = optimal shrinkage estimator coefficient

Let's substitute the given values:

T₂ = xµ₁ = yµ₂ = zλ = 0.7

We can use the following formula to calculate the mean time of all teams on each run:

Mean = Sum of values / Number of values

Let's calculate the mean time of all teams on Run 1:

Mean of Run 1 = (3.45 + 3.36 + 3.52 + 3.59 + 3.66 + 3.59 + 3.63 + 3.62 + 3.65 + 3.61) / 10= 35.28 / 10= 3.528

Let's calculate the mean time of all teams on Run 2:

Mean of Run 2 = (3.42 + 3.33 + 3.49 + 3.55 + 3.61 + 3.56 + 3.60 + 3.59 + 3.62 + x) / 10= (35.17 + x) / 10

To solve for x, we can use the following formula:

r = Σ[(x - y)(z - w)] / sqrt[Σ(x - y)² Σ(z - w)²]

Where:

r = 0.7x = T₂ = USA 1 on Run 2

y = µ₁ = Mean of Run 1

z = µ₂ = Mean of Run 2

w = λ(T₂ - µ₂)

r = 0.7 = Σ[(x - y)(z - w)] / sqrt[Σ(x - y)² Σ(z - w)²]

0.7 = [(x - y)(z - w)] / sqrt[Σ(x - y)² Σ(z - w)²]

Let's substitute the values:

(x - y) = (x - 3.528)(z - w)

= (35.17 + x - 0.7x - 35.28 / 9 = 3.9078 - 0.07778x)Σ(x - y)²

= (3.45 - 3.528)² + (3.36 - 3.528)² + ... + (3.61 - 3.528)² + (x - 3.528)²Σ(z - w)²

= (3.42 - 3.9078)² + (3.33 - 3.9078)² + ... + (3.62 - 3.9078)² + (x - 35.17 - 0.7x + 3.9078)²0.7 = [(x - 3.528)(3.9078 - 0.07778x)] / sqrt[Σ(x - 3.528)² Σ(3.9078 - 0.07778x)²]0.7

= [(x - 3.528)(3.9078 - 0.07778x)] / sqrt[0.015586(x - 3.528)² + 0.030651(3.9078 - 0.07778x)²]

We can solve for x using trial and error or using a graphing calculator.

By using the trial and error method, we get:

x = 3.45 seconds (rounded to two decimal places)

Therefore, the estimated time for USA 1 on Run 2 is 3.45 seconds.

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Answer:

Points (-4,0) and (5,0) will lie on the x axis.

Step-by-step explanation:

To know if a point lies on the x axis, the y - value of a coordinate will always be zero. Here is the graph below:

The probability of winning $2 without getting below $0 at any time is 1/4  or 0.25.

To calculate the probability of winning $2 without getting below $0 at any time, we can use a branching diagram to track the possible outcomes.

Starting from $0, there are two possible outcomes for the first flip: heads or tails. If the first flip heads, the outcome is $1 and there are two possible outcomes for the second flip: heads or tails. If the second flip heads, the outcome is $2 and we have won the game. If the second flip is tails, the outcome is back to $0 and we have to start over. If the first flip is tails, the outcome is $-1 and we also have two possible outcomes for the second flip: heads or tails. If the second flip heads, the outcome is back to $0 and we have to start over. If the second flip is tails, the outcome is $-2 and we have lost the game.

Putting all of the possible outcomes together, we get the following branching diagram:

              H                              T

         /          \                       /     \

       H             T                  H      T

     /     \          /                      \

    H      T     T                        H

   $2    $0   -$1                       -$2

The only way to win $2 without getting below $0 at any time is to get two heads in a row. This can only happen along the top branch of the diagram, which has a probability of (1/2) * (1/2) = 1/4.

Therefore, the probability of winning $2 without getting below $0 at any time is 1/4 or 0.25.

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The correct option that indicates how Christa sliced the rectangular pyramid is the second option.

Christa sliced the pyramid perpendicular to its base through two edges.

A rectangular pyramid is a pyramid with a rectangular base and four triangular faces.

The height of the cross section indicates that the location where Christa sliced the shape is lower than the apex of the pyramid.

The trapezoid shape of the cross section of the pyramid indicates that the top and base of the cross section are parallel, indicating that Christa sliced the pyramid parallel to a side of the base of the pyramid, such that it intersects two of the edges of the pyramid

The correct option is therefore the second option;

Christa sliced the pyramid perpendicular to its base through two edges

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Answer:

(-(11 w^2 - 13))

Step-by-step explanation:

Simplify the following:

2 w^2 - 13 w^2 + 13

Grouping like terms, 2 w^2 - 13 w^2 + 13 = (-13 w^2 + 2 w^2) + 13:

(-13 w^2 + 2 w^2) + 13

2 w^2 - 13 w^2 = -11 w^2:

-11 w^2 + 13

Factor -1 out of -11 w^2 + 13:

Answer: (-(11 w^2 - 13))

Jada's claim as a conjecture would be:
"All the segments in Δ ABC are parallel to the corresponding segments in Δ A'B'C' because both triangles are dilated from center P".

Whenever a shape is a dilation of another, we agree that the current shape and the dilated image's corresponding side lengths are in the same proportion and are all associated by the same scale factor, k.

Attached are the images showing the parallelity of the segments and their corresponding lines.

Hence, from the above, we can confirm that the above conjecture is true.

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Answer:

£54

Step-by-step explanation:

According to the ratio:

Bridget = 4/17

Brian = 9/17

Caroline = 4/17

____

So if Bridget and Caroline receive £48, that would mean £48 is 8/17 of the total amount. We can find 1/17 of the money by dividing £48 by 8.

48 / 8 = 6

And then multiply that by 9 to find 9/17 of the money (the amount Brian has).

6 x 9 = 54

Answer:

Step-by-step explanation:

(2+10)/(5+1)= 12/6 =2

y + 10 = 2(x + 1)

y + 10 = 2x + 2

y = 2x - 8

With the help of speed,distance and time formula we can say that it will take 66666mph speed of the earth in miles per hour.

According to our question?

Hence,With the help of speed,distance and time formula we can say that it will take 66666mph speed of the earth in miles per hour.

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Answer:

24 ounces for 6.00

Step-by-step explanation:

it has more in it.

Answer:

189 gallons

Step-by-step explanation:

7 gallons for 3 classrooms, so 7/3 for 1 classroom

multiply 7/3 * 129 to get 301 gallons at North High School

multiply 7/3 * 48 to get 112 gallons at Edgewater Elementary

301 - 112 = 189 gallons more at North High School than at Edgewater Elementary

The more gallons should be 189 gallons

7 gallons for 3 classrooms, so 7 by 3 for 1 classroom

Now  

we have to multiply 7 by 3 with 129 so that 301 gallons at North High School could come

Now  

multiply 7 by 3 with 48 to get 112 gallons at Edgewater Elementary

Now

=  301 - 112

= 189 gallons more

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Answer:

Step-by-step explanation:

Given the function

f(x) = 2x³ -3x²+ 7

putting x=-1 to find f(-1)

f(-1) =  2(-1)³ -3(-1)²+ 7

      = -2 + 3 + 7

      = 8

putting x=1 to find f(1)

f(1) =  2(1)³ -3(1)²+ 7

      = 2 - 3 + 7

      = 6

putting x=2 to find f(2)

f(2) =  2(2)³ -3(2)²+ 7

      = 16 - 12 + 7

      = 11

Therefore,

The roots of the function f(x) =\(x^3 + 3x^2 + x - 5\) are approximately x ≈ -2.27 (real root) and x ≈ -0.36 + 1.56i, x ≈ -0.36 - 1.56i,   \((x-1)(x^3+3x^2+x-5)\).

To find the roots of the function f(x) = x^3 + 3x^2 + x - 5, we need to solve for values of x that make the function equal to zero.

One approach to finding the roots is by using factoring or synthetic division, but in this case, the function does not have any obvious rational roots. Therefore, we can use numerical methods such as the Newton-Raphson method or graphing techniques to approximate the roots.

Using a graphing calculator or software, we can plot the function f(x) = x^3 + 3x^2 + x - 5. By analyzing the graph, we can estimate the x-values where the function intersects the x-axis, indicating the roots.

Upon analyzing the graph or using numerical methods, we find that the function has one real root approximately equal to x ≈ -2.27.

The other two roots are complex conjugates, which means they come in pairs of the form a + bi and a - bi. For this particular function, the complex roots are approximately x ≈ -0.36 + 1.56i and x ≈ -0.36 - 1.56i.

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Answer:

11 hours

Step-by-step explanation: