If a parakeet costs p dollars and a baby parrot costs d dollars, record using algebra:

If I had $80.00 and bought 3 parakeets and 4 baby parrots, how much money do I have left?

A. The period of its rotation is 5 s

B. The frequency of its rotation is 0.2 Hz

The period of the rotation can be obtained as follow:

T = t/n

T = 50 / 10

T = 5 s

The frequency of the rotation can be obtained as follow:

f = 1/T

f = 1/5

f = 0.2 Hz

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Answer:

f(-6)= -8

Step-by-step explanation:

just look at where x is -6 and y is -8 so f(-6) is -8

Hopes this helps please mark brainliest

The number of phones sold would be 20

And, the number of accessories sold would be 26.

Used the concept of an equation that states,

An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.

Given that,

Kylie earns a $15 commission for every phone she sells and a $2 commission for every accessory she sells.

And, On a given day, Kylie made a total of $352 in commission and sold 6 more accessories than phones.

Let us assume that,

The number of phones sold = x

And, the number of accessories sold = y

Hence, the equation becomes,

15x + 2y = 352   .. (i)

And, y = x + 6  .. (ii)

Substitute the value of y in (i);

15x + 2y = 352  

15x + 2 (x + 6) = 352

15x + 2x + 12 = 352

17x + 12 = 352

17x = 352 - 12

17x = 340

x = 340/17

x = 20

From (ii);

y = x + 6

y = 20 + 6

y = 26

Therefore,  The number of phones sold = 20

And, the number of accessories sold = 26

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Answer:

6 1/2 (mixed) or 25/4 (improper)

Step-by-step explanation:

Firstly, I made the mixed number an improper fraction; 5/4

Then I did the equation;

5/1 x 5/4 = 25/4

25/4 is 6.25 when divided, then made it a fraction; 6 1/4

Hope this helps!

Answer:

All whole numbers are integer

All natural numbers are rational numbers

Step-by-step explanation:

Answer:

2, 4, 5

Step-by-step explanation:

edge 2021 :)

The base case for which the inductive proof for p(n) is defined, is the smallest value of n for which p(n) is defined.

Mathematical induction refers to a strategy for demonstrating a theorem's correctness by first demonstrating that, if it holds true in one particular situation, it will also hold true in all subsequent cases in the series.

Now,

Hence, the base case for which the inductive proof for p(n) is defined, is the smallest value of n for which p(n) is defined.

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Answer:

x=1

Step-by-step explanation:

10(x-1) =0

We want to use the distributive property.

10x -10 =0

Add 10 to each side.

10x-10+10 = 10

10x = 10

Divide each side by 10.

10x/10 = 10/10

x = 1

The taxable income of Marcel and Stephanie is less than their annual salary because they are allowed to make deductions from their income before calculating their taxable income.

These deductions include contributions to retirement plans, health insurance premiums, and other eligible expenses. The amount of deductions varies depending on factors such as the type of expense and the individual's tax filing status.

Thus, the taxable income is the amount of income that is subject to taxation, and it is generally lower than the individual's annual salary. In the case of Marcel and Stephanie, their taxable incomes are calculated by subtracting their deductions from their respective annual salaries.

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Complete Question:

Why are Marcel's and Stephanie's taxable incomes less than their annual salary? Marcel's annual salary is $30,000 and his income is $17,450. Stephanie's annual salary is $50,000 and her income is $37,600.

Answer:

3x+6-14

Step-by-step explanation:

If Sarah wanted her total payments to be even lower, then she can either choose a different plan or increase the amount she is paying every month.

Usually, income-based repayment plans are typically used by people who do not make a lot of money and would prefer to pay smaller debt repayment installments. These plans will limit her monthly payments to 10% - 20% of her income.

The problem with these is that the debt will take longer to pay off with lower monthly/periodic payments. This will allow interest to accumulate on the debt for a longer period of time, resulting in her paying more than she would have if she had not used income-based repayment plans. However, if she want her total payments to be even lower, then she can either choose a different plan or increase the amount she is paying every month.

Missing words "Sarah looks at these results and realizes her monthly payment would be lower with most of the income-based repayment plans. But then, she looks at the Total Amount Paid and realizes that the loan price increases when she chooses these plans."

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The differential equation of  the amount of a subject memorized in time t > 0 is k. a(t) + da(t)/dt = km, where k is a constant representing the rate  at which a subject is memorized.

Translate the given word problem into an algebraic expression.

Let m be the total amount of a subject to be memorized.

Let  a(t) be the amount memorized in time t > 0.

Let c(t) be the amount that is left to be memorized in time t > 0.

Then,

c(t) = m - a(t)

From the problem, the rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized. It means:

da(t)/dt = k. c(t),  where k is a constant

da(t)/dt = k. (m - a(t))

k. a(t) + da(t)/dt = km

Hence, the differential equation is k. a(t) + da(t)/dt = km

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The area of the larger figure that is similar to the smaller one is: 28.2 m².

Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:

Area of figure A / Area of figure B = a²/b².

Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:

Perimeter of smaller figure = 20 m

Area of smaller figure = 19.6 m²

Perimeter of larger figure = 34m

Area of larger figure = x

Therefore:

20/34 = a/b

Simplify:

10/17 = a/b.

Find the area (x) of the larger figure using the formula given above:

10²/12² = 19.6/x

100/144 = 19.6/x

100x = 2,822.4

x = 2,822.4/100

x ≈ 28.2 m²

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Answer:

256

Step-by-step explanation:

2⁸ = 256

Answer: 3.14159265358979.....

Step-by-step explanation:

Answer:

3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 7067.

The 95% confidence interval estimate of the population mean rating for Miami International Airport is approximately 5.50 to 6.74 (rounded to two decimal places).

To develop a 95% confidence interval estimate of the population mean rating for Miami International Airport, we can use the sample data provided. Here are the steps to calculate the confidence interval:

Step 1: Calculate the sample mean and sample standard deviation (s) from the given ratings.

Step 2: Determine the critical value (t*) for a 95% confidence level. Since the sample size is small (n = 50), we need to use the t-distribution. The degrees of freedom (df) will be n - 1 = 50 - 1 = 49.

Step 3: Calculate the standard error (SE) using the formula: SE = s / √n, where n is the sample size.

Step 4: Calculate the margin of error (ME) using the formula: ME = t* * SE.

Let's proceed with the calculations:

Step 1: Calculate the sample mean and sample standard deviation (s).

Sample ratings: 7 7 3 8 4 4 4 5 5 5 5 4 9 10 9 9 8 10 4 5 4 10 10 10 11 4 9 7 5 4 4 5 5 4 3 10 10 4 4 8 7 7 4 9 5 9 4 4 4 4

Sample size (n) = 50

Sample mean = (Sum of ratings) / n = (306) / 50 = 6.12

Sample standard deviation (s) = 2.18

Step 2: Determine the critical value (t*) for a 95% confidence level.

Using a t-distribution with 49 degrees of freedom and a 95% confidence level, the critical value (t*) is approximately 2.01.

Step 3: Calculate the standard error (SE).

SE = s / √n = 2.18 / √50 ≈ 0.308

Step 4: Calculate the margin of error (ME).

ME = t* * SE = 2.01 * 0.308 ≈ 0.619

Step 5: Construct the confidence interval.

Confidence Interval = 6.12 ± 0.619

Lower bound = 6.12 - 0.619 ≈ 5.501

Upper bound = 6.12 + 0.619 ≈ 6.739

The 95% confidence interval estimate of the population mean rating for Miami International Airport is approximately 5.50 to 6.74 (rounded to two decimal places).

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Answer:

I looked at it

Step-by-step explanation:

False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.

To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).

Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.

Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:

f'(x) = 5cos(x) - sin(x).

This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).

In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).

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Answer:

Length of MN = 48 units

Step-by-step explanation:

AB is the diameter of the larger circle which is perpendicular to both the chords PQ (chord of the smaller circle) and MN(chord of the larger circle).

Theorem says,

"Radius or a diameter of a circle which is perpendicular to the chord divides the chord in two equal parts."

Therefore, MO ≅ ON

m(MO) = m(ON)

7x - 4 = 6x

7x - 6x = 4

x = 4

m(MN) = m(MO) + m(ON)

           = (7x - 4) + (6x)

           = 13x - 4

           = (13 × 4) - 4

           = 52 - 4

           = 48

Length of chord MN will be 48 units.

Answer:

The polygons will have its vertices after a reflection over the y=x will be:

Step-by-step explanation:

We know that when we reflect a point across the line y = x, the x-coordinate, and y-coordinate tend to replace their places.

i.e.

The reflection of the point (x,y) across  the line y = x is the point (y, x).

P(x, y) = P'(y, x)

Given the points before the a refecltion over y=x

Thus, the coordinates after the polygon are reflected over the y=x will be:

P(x, y) = P'(y, x)

J(-1, 4) = J'(4, -1)

K(2, 5) = K'(5, 2)

L(5, 2) = L'(2, 5)

M(4, -1) = M'(-1, 4)

Therefore, the polygons will have its vertices after a reflection over the y=x will be:

Answer:

-2

Step-by-step explanation:

f(-2) = -(-2) - 4

= 2-4

= -2

Answer:

x>=9

Step-by-step explanation:

so, we can plot this on a number line

the point at 9 is a solid dot, since brackets (not parenthasis) indicates that we including the number. the shaded part of the line extends all the way to positive infinity. the shaded part means that it is a solution, while the un-shaded parts aren't solutions to [9,infinity) it is x>=9 and not x>9 because 9 is included.

x>=9 is the answer

the general solution of the given differential equation is: y = C7 + C8/x.

The differential equation 7xy'' + 7y' = 0 can be solved as follows: 7xy'' + 7y' = 0

The given differential equation is a second-order linear differential equation of the form y'' + f(x) y' + g(x) y = 0, where f(x) = 7/x and g(x) = 0.

On dividing both sides by 7x, we get:y''/x + y'/x = 0

Now, substituting p = y'/x, we get:y''/x = dp/dx + p/x

Hence, the given differential equation can be written as:dp/dx + p/x = 0

This is a first-order linear differential equation of the form dy/dx + P(x) y = Q(x), where P(x) = 1/x and Q(x) = 0.

Now, multiplying both sides by the integrating factor I(x) = e^∫P(x)dx = e^∫(1/x)dx = e^lnx = x, we get:x dp/dx + p = 0

Multiplying both sides by dx and integrating, we get:∫x dp/p = -∫dxln |p| = -ln |p| + C1x ln |p| = C2

Taking antilogarithm on both sides, we get:|p| = e^(C2/x)Multiplying both sides by a constant of integration C3, we get:

p = ± C3 e^(C2/x)But p = y'/xHence, y'/x = ± C3 e^(C2/x)

Integrating both sides with respect to x, we get:y = C4 + C5 ∫e^(C2/x) dxwhere C4 and C5 are constants of integration.

Using the substitution t = C2/x, we get:dy/dt = - C5/t²Hence, y = C4 - C5 ∫dt/t²= C4 + C5/t + C6 where C6 is a constant of integration.

Substituting t = C2/x, we get:y = C4 + C5 C2/x + C6x= C7 + C8/x where C7 and C8 are constants of integration.

Hence, the general solution of the given differential equation is: y = C7 + C8/x.

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The exponential function passing through the points (-3, 1/2) and (3, 32) can be represented by the equation \(f(x) = (2^{(5/6)}) * (2^{(x/6)})\).

To find the exponential function passing through the given points, we can start by assuming the general form of an exponential function, \(f(x) = a * (b^x)\), where a and b are constants to be determined. Plugging in the coordinates (-3, 1/2) into this equation gives us \(1/2 = a * (b^{(-3)})\), and plugging in (3, 32) gives us \(32 = a * (b^3)\).

Now, we can solve this system of equations to find the values of a and b. Taking the ratio of the two equations, we get \((1/2) / 32 = (a * (b^{(-3)})) / (a * (b^3))\), which simplifies to \(1/64 = 1/b^6\). Solving for b, we find \(b = 2^{(1/6)\).

Substituting this value back into either of the original equations, we can solve for a. Using the equation \(1/2 = a * (2^{(-3/6)})\), we find \(a = 2^{(5/6)\).

Therefore, the exponential function passing through the given points is \(f(x) = (2^{(5/6)}) * (2^{(x/6)})\).

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Answer:

1.x^7

2.x^10

3.a^2

4. 5

Step-by-step explanation:

1. x^(5+2)=x^7

2.x^(5*2)=x^10

3.a^(5-3)=a^2

4. 5 * 1=5

Answer:

x power 7

x power 10

a²

1

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

In order to calculate the total number of iterations of a nested loop, you need to add the number of iterations of all the loops. This is because the iterations of each loop are cumulative and dependent on each other. Therefore, adding the number of iterations of all the loops will give you the total number of iterations of the nested loop.

In a nested loop, the inner loop will always complete its iteration each time the outer loop runs once. Thus, the total number of iterations of a nested loop is the sum of the iterations of all the loops. For example, if the outer loop has 5 iterations and the inner loop has 3 iterations, then the total number of iterations of the nested loop would be 5 x 3 = 15. Similarly, if there are more than two loops nested together, the total number of iterations of the nested loop would be the sum of the iterations of all the loops.

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Answer:

Pretty Sure False.

Answer: false

Step-by-step explanation: a pex

Answer:

This will explain it

Step-by-step explanation:

To answer the question, you need to determine the amount Mr. Traeger has left to spend, then find the maximum number of outfits that will cost less than that remaining amount.

Spent so far:

... 273.98 + 3×7.23 +42.36 = 338.03

Remaining available funds:

... 500.00 -338.03 = 161.97

The cycling outfits are about $80 (slightly less), and this amount is about $160 (slightly more), which is 2 × $80.

Mr. Traeger can buy two (2) cycling outfits with the remaining money.

_____

The remaining money is 161.97/78.12 = 2.0733 times the cost of a cycling outfit. We're sure he has no interest in purchasing a fraction of an outfit, so he can afford to buy 2 outfits.