Maureen bought cupcakes for her sister's birthday party. 40% of the 95 cupcakes had
sprinkles on top. How many cupcakes had sprinkles?

The answer from part A tells us that the trout population was 10 in the first month after it was introduced.

A. P(0) = 740 / (1 + 73e^-0) = 740 / (1 + 73) = 740 / 74 = 10, so the answer is 10.

B. The answer from part A tells us that the trout population was 10 in the first month after it was introduced.

C. To find the number of trout in the lake after 1 year, we need to find P(12): P(12) = 740 / (1 + 73e^-0.07*12) = 740 / (1 + 73e^-0.84) ≈ 490, so the answer is 490.

D. To find the number of trout in the lake after 10 years, we need to find P(120): P(120) = 740 / (1 + 73e^-0.07*120) = 740 / (1 + 73e^-8.4) ≈ 740, so the answer is 740.

E. lim t→∞ P(t) = 740, so the answer is 740.

F. The answer from part E tells us that as the number of months t approaches infinity, the trout population will approach 740. This means that the trout population will eventually stabilize at 740 if no other factors such as predators, disease, or lack of food affect the population.

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Answer:

Step-by-step explanation:

To check whether the given credit card number is valid or not, we need to apply the Luhn algorithm or the mod-10 algorithm. The Luhn algorithm works by adding up all the digits in the credit card number and checking if the sum is divisible by 10 or not. If it is, then the credit card number is considered valid, otherwise, it is invalid.

Let's apply the Luhn algorithm to the given credit card number:

Step 1: Starting from the rightmost digit, double every second digit

| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

| | 8 | | 8 | | 16| | 6 | | 14| | 0 | | 0 | | 10|

Step 2: If the doubled value is greater than 9, add the digits of the result

| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

| | 8 | | 8 | | 7 | | 6 | | 5 | | 0 | | 0 | | 1 |

Step 3: Add up all the digits in the credit card number, including the check digit

5 + 4 + 2 + 4 + 9 + 8 + 1 + 3 + 2 + 7 + 2 + 0 + 0 + 0 + 8 + 5 + 1 = 61

Step 4: If the sum is divisible by 10, then the credit card number is valid, otherwise, it is invalid.

61 is not divisible by 10, therefore the given credit card number is invalid.

Hence, it can be concluded that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.

63 degrees is the angle.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle is a right angle triangle.

The opposite side length is 85 and the adjacent side is 38.

Opposite side=85

Adjacent side=38.

Calculate Opposite/Adjacent

= 85/38= 2.236

Which is tanθ=2.236

Now tan inverse on both the sides

θ=tan⁻¹2.236

θ=tan⁻¹2

θ=63 degrees.

Hence, the angle is 63 degrees.

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Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Answer: 1/16

Step-by-step explanation:

4^4*4^(-7)*4

= 4^(-3)*4

=4^(-2)

= 1/16

Applying the trigonometry ratios to solve the geometry, we have:

1. x = 9√3; y = 18     2. x = 3; y = 6    3. x = 18; y = 6√3

Geometry is a branch of mathematics that studies the properties and relationships of points, lines, shapes, and solids in space.

1. To find x, apply the tangent ratio:

tan 30 = 9/x

x = 9/tan 30

x = 9 / 1/√3 (tan 30 = 1/√3)

x = 9 * √3/1

x = x = 9√3

Using the sine ratio:

sin 30 = 9/y

y = 9/sin 30

y = 9/ 1/2 (sin 30 = 1/2)

y = 9 * 2/1

y = 18

2. tan 60 = 3√3 / x

x = 3√3 / tan 60

x = 3√3 / √3 (tan 60 = √3)

x = 3

sin 60 = 3√3 / y

y = 3√3 / sin 60

y = 3√3 / √3/2 (sin 60 = √3/2)

y = 3√3 * 2/√3

y = 6√3/√3

y = 6

3. cos 30 = x/12√3

x = cos 30 * 12√3

x = √3/2 * 12√3 (cos 30 = √3/2)

x = (3 * 12) / 2

x = 18

sin 30 = y/12√3

y = sin 30 * 12√3

y = 1/2 * 12√3 (sin 30 = 1/2)

y = 6√3

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The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

A stew recipe uses 3 teaspoons of salt for every 4 cups of water.

There is a ratio issue here.

As X is to three, 3 is to 4.

3 : 4 :: X : 3

To eliminate the fractions, multiply each integer in the ratio by 12.

9 : 12 :: 9X : 12

This is a portion of what is

9 / 12 = 9X / 12

to obtain, cross-multiply.

9 / 12 = 3 teaspoons of salt,

Check: 3 cup of flour yields 3 cups, which is a 4x increase.

The amount of salt in 9/12 tablespoons is four times that of 3 tablespoons.

The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

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Answer:

=2x2+7x+5

Step-by-step explanation:

Answer:

2x^2 + 7 x + 5

Step-by-step explanation:

I can't waste time giving an explanation if you're timed ;) if this helped you, leave a brainliest! :)

To find the additional cost incurred when production is increased from 2 units to 13 units, we need to calculate the difference between the total cost of producing 13 units and the total cost of producing 2 units.

The total cost of producing x units is given by the antiderivative of the marginal cost function:

C(x) = ∫ C′(t) dt = 0.04t^3 - 2t^2 + 80t + C

where C is an arbitrary constant of integration.

To find the value of C, we can use the fact that the total cost of producing 2 units is known:

C(2) = 0.04(2)^3 - 2(2)^2 + 80(2) + C = 162 + C

We know from the problem statement that the total cost of producing 2 units is $162, so we can solve for C:

162 + C = C(2) = 0.12(2)^2 - 4(2) + 80 = 68

C = -94

Now we can find the total cost of producing 13 units:

C(13) = 0.04(13)^3 - 2(13)^2 + 80(13) - 94 = 1956

The additional cost incurred when production is increased from 2 units to 13 units is:

C(13) - C(2) = 1956 - 162 = $1794

Therefore, the additional cost incurred in dollars when production is increased from 2 units to 13 units is $1794.

the assumption being that whilst "x" is just a simple variable, "y" is really a function in x-terms, so

\(sin(xy)=y\implies \stackrel{\textit{\Large chain~rule}}{cos(xy)\stackrel{product~rule}{\left( y+x\cfrac{dy}{dx} \right)}}=\cfrac{dy}{dx}\implies ycos(xy)+cos(xy)x\cfrac{dy}{dx}=\cfrac{dy}{dx} \\\\\\ ycos(xy)=\cfrac{dy}{dx}-cos(xy)x\cfrac{dy}{dx}\implies ycos(xy)=\cfrac{dy}{dx}( ~~ 1-cos(xy)x ~~ ) \\\\\\ \left. \cfrac{ycos(xy)}{1-cos(xy)x}=\cfrac{dy}{dx} \right|_{\frac{\pi }{2},1}\implies \cfrac{1cos\left( \frac{\pi }{2}\cdot 1 \right)}{1-cos\left( \frac{\pi }{2}\cdot 1 \right)\frac{\pi }{2}}\implies 0\)

\(~\dotfill\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{0}(x-\stackrel{x_1}{\frac{\pi }{2}})\implies {\Large \begin{array}{llll} y=1 \end{array}}\)

Answer:

0.074

0.044

0.041

0.083

0.0357

0.0674

0.0556

0.0833

0.0625

Answer:

Step-b0.074

0.044

0.041

0.083

0.0357

0.0674

0.0556

0.0833

0.0625y-step explanation:

Answer: 1.) 10

Step-by-step explanation:

-4 + 4 = 0

0 + 6 = 6

6 + 4 = 10

Answer:

3. Z=10 4. B=60

Step-by-step explanation:

For number 3 we work backwards. So, 6 - (-4) would equal 10. To check this -4  + 10 = 6. For number 4, we also work backwards, so 12 x 5 = 60. To check this 60/5 = 12. So z = 10 B = 60.

Applying the tangent ratio, the value of x in the image, rounded to the nearest thousandth is: 15.824.

The tangent ratio, commonly referred to as "tangent," is a trigonometric function that relates the ratio of the length of the side opposite an angle to the length of the side adjacent to that angle in a right triangle. It is expressed as:

tan (∅) = opposite/adjacent

We have the following:

Reference angle (∅) = 53 degrees

Length of opposite side = 21

Length of adjacent side = x

Plug in the values:

tan 53 = 21/x

x * tan 53 = 21

x = 21 / tan 53

x = 15.824

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Answer:

700 i think-

Step-by-step explanation:

The dimensions of the box if it is to use the minimum possible amount of metal are,

⇒ 2.714 m, 2.714 m, 1.358 m

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A container with an open top is to have 10 m³ capacity.

Now,

Let the dimensions are x, y and z.

Since, Volume of box = 10 m³

Hence, We get;

⇒ xyz = 10

⇒ z = 10/xy

Since, A container is open in top.

Hence, The surface area = 2xz + 2yz + xy

Substitute z = 10/xy;

⇒ S.A = 2x (10/xy) + 2y (10/xy) + xy

          = 20/y + 20/x + xy

For minimum metal;

⇒ d (S.A)/ dx = 0

⇒ - 20/x² + y = 0

⇒ y = 20/x²  ..(i)

And, d (S.A) / dy = 0

⇒ - 20/y² + x = 0

⇒ x = 20/y²   ..(ii)

Divide equation (i) and ((ii);

⇒ x = y

Hence, We get;

⇒ xyz = 10

⇒ x³ = 10

⇒ x = 2.714

And, y = 2.714

So, The value of z is,

⇒ z = 10/xy

⇒ z = 10 / 2.714×2.714

⇒ z = 1.358 m

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Step-by-step explanation:

no she exceeded number of shirts with 40

Answer:6 1/5

Step-by-step explanation:

Lets start by saying that one dozen is 12 and not a bakers dozen (13)

We will first see how many times 2 1/2 can go into 15 1/2 by dividing the two

\(15\frac{1}{2} /2\frac{1}{2}=6\frac{1}{5}\)

then we can verify by multiplying 2 1/2 and 6 1/5

\(2\frac{1}{2} *6\frac{1}{5} =15\frac{1}{2}\)

Given :

Question 5: find

the function f^-1 represent the inverse of the function f

so,

The value of angle ABC in the equilateral triangle formed by points D, E, and C, given angle EAB is 80°, is 50°.

Let's solve the problem step by step:

In an equilateral triangle, all three angles are equal. Let's denote the measure of angle ABC as x.

Since the triangle is equilateral, angle BAC is also equal to x.

The sum of angles in a triangle is

=180°

Therefore, we can write the equation:

= x + 80 + x = 180.

Simplifying the equation, we have:

= 2x + 80 = 180.

Subtracting 80 from both sides:

= 2x = 100.

Dividing both sides by 2:

=x = 50.

Thus, angle ABC measures 50°.

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The complete question is:

The shaded triangle formed by points D, E and C is equilateral. If angle EAB is 80°, then what is the value of angle ABC? Give your answer in degrees (°).

Answer:

b:not similar

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

using the Sine rule in Δ ABC

\(\frac{a}{sinA}\) = \(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)

where a is the side opposite ∠ A , b opposite ∠ B , c opposite ∠ C

we require to calculate ∠ C

∠ C = 180° - (64 + 85)° = 180° - 149° = 31°

then to find a , using

\(\frac{a}{sinA}\) = \(\frac{c}{sinC}\)

\(\frac{a}{sin64}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )

a × sin31° = 9.3 × sin64° ( divide both sides by sin31° )

a = \(\frac{9.3sin64}{sin31}\) ≈ 16.23 ( to 2 decimal places )

then to find b , using

\(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)

\(\frac{b}{sin85}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )

b × sin31° = 9.3 × sin85° ( divide both sides by sin31° )

b = \(\frac{9.3sin85}{sin31}\) ≈ 17.99 ( to 2 decimal places )

Answer:

To find 40% of a number, you can multiply the number by 0.4 or divide it by 2.5.

Using this method, we get:

40% of 100 is 40 (100 x 0.4 or 100 ÷ 2.5)

40% of 110 is 44 (110 x 0.4 or 110 ÷ 2.5)

40% of 140 is 56 (140 x 0.4 or 140 ÷ 2.5)

40% of 120 is 48 (120 x 0.4 or 120 ÷ 2.5)

Therefore, 40% of 100 is 40, 40% of 110 is 44, 40% of 140 is 56, and 40% of 120 is 48.

Answer:

The correct answer is "The term number, n"

Answer:

the term number, n

Step-by-step explanation:

Answer:

400 students

Step-by-step explanation:

So 15 percent is 60 students

make an equation

0.15x=60

X stands for the total amount fo students and multiply that 0.15 becuase we know ti equals 60 and finding X will solve both problems

that’ll give you 400 students

if you check

400*0.15=60

So its correct

Answer: To find out what grade the student must get on the next test, we can use the following formula:

(current total of scores + desired score) / (total number of scores) = desired average

We know that the student's current total of scores is 60 + 78 + 65 + 68 + 72 = 363, and the desired average is 70. We also know that the student has taken five tests, so there is one test remaining.

Therefore, we can plug in these values into the formula:

(363 + x) / 6 = 70

Where x is the grade the student must get on the next test.

We can solve for x by multiplying both sides of the equation by 6:

363 + x = 420

x = 57

Therefore, the student must get a grade of 57 on the next test in order to have an average of 70.

Step-by-step explanation:

For the linear function built from the scatter plot, it is found that:

The slope-intercept representation of a linear function is the rule presented as follows:

y = mx + b

The coefficients of the function and their meaning are listed as follows:

From the graph, we have that when x = 0, y = 500, hence the intercept of the line is:

b = 500.

When the input increases by 200, the output increases by 1000, hence the slope is:

m = 1000/2 = 5.

Thus the equation is:

y = 5x + 500.

The graph is given by the image at the end of the answer.

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Answer:

Step-by-step explanation:

RSB is a right angle

12. RSB is 90 degrees

13. A right angle is 90 degrees

H is between P and S

14. PS + PH = HS

15. Deductive Reasoning

Answer:

3?

Step-by-step explanation:

Answer:

C Is The Correct Answer