A rock is dropped from the edge of a cliff. The equation below gives the distance, d, the rock travels in t seconds.
d=5t^2 + 5t
How long does it take for the rock to travel 30 meters?
A. 3 seconds
B.5 seconds
C.6 seconds
D.2 seconds
pls !! help !!!

The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.

By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.

The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.

First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.

Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.

Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.

More on Linnaean class system: https://brainly.com/question/2548027

#SPJ11

Responder:

27 de enero

Horas de visita al abuelo antes de que coincida el horario = 1 vez

Horas de visita a Sofía antes de que coincida el horario = 2 veces

Explicación paso a paso:

Para obtener la hora en la que coincidirá su visita, obtenemos la L. C. M de 12 y 8

Abuelos (cada 12 días)

12:12, 24, 36, 48, 60, ...

Sofia (cada 8 días)

8: 8, 16, 24, 32, 40, ....

El mínimo común múltiplo de 12 y 8 es 24.

De ahí que su encuentro vuelva a coincidir a los 24 días.

3 de enero + 24 días = 27 de enero

Horas de visita al abuelo antes de que coincida el horario = 1 vez

Horas de visita a Sofía antes de que coincida el horario = 2 veces

Answer: have a good day :)

\(f^{-1} (x)=\sqrt[5]{x+2}\)

The derivative of the expression is y' = \(-\frac{-y}{x}\).

What is derivative?

Differentiation refers to the method of determining the derivative. Anti-differentiation is the term for the opposite process. We'll calculate the derivative of the function y = f. (x). It represents the rate at which the value of y varies in relation to the change in the variable x. It is referred to as the "f" derivative with regard to the variable x.

Here the given expression is \(x^2y^2=10\) then

=> f(x,y) = \(x^2y^2-10\)

To find \(\frac{dy}{dx}\) by using the formula \(\frac{dy}dx}=-\frac{f_x}{f_y}\) and first find \(f_x , f_y\)

Now ,

=> \(f_x =\frac{d}{dx}x^2y^2-10\)

=> \(f_x=2xy^2\)

Now,

=> \(f_y=\frac{d}{dy}x^2y^2-10\)

=> \(f_y=2x^2y\)

Now substitute into formula then

=> \(y' = -\frac{2xy^2}{2x^2y}\)

=> y' = \(-\frac{-y}{x}\)

Hence the derivative of the expression is y' = \(-\frac{-y}{x}\).

To learn more about derivative refer the below link

https://brainly.com/question/28376218

#SPJ4

The function that describes the fund that was raised is 0.05³ - 30x - 12425

The revenue is  R (z) = 0.05x³ + 75

the cost = C(z) = 30x + 12,500.

Please note that the equation for revenue missed a sign in the question so I made use of the plus sign

We would have revenue - cost

Hence ( 0.05x³ + 75) - (30x + 12,500)

We would open the bracket

0.05x³ + 75 -30x -12500

We would take the like term to

0.05³ - 30x -12500 + 75

0.05³ - 30x - 12425

The function that describes the fund that was raised is 0.05³ - 30x - 12425

Read more on cost function here

https://brainly.com/question/2292799

#SPJ1

Answer: F(x)=0.05x^3-30x-12,575

Step-by-step explanation:

Correct on test.

Answer:

x=20

Step-by-step explanation:

Let  = a 30 day period

The first equation is 50 - 2x (because you start with $50 and subtract 2 for each 30 day period)

The second equation is 40-1.5x

Set them equal to each other:  50 - 2x = 40 - 1.5x

Solve for x:

50 - 2x = 40 - 1.5 x

    +2x         +2x

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

50 = 40 + 0.5 x

-40   -40

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

10 = 0.5 x

20 = x

So there will be 20 30-day periods until the cards will be equal in value.

Check:  After 20 periods, 50 - 2(20) = $10 left

40 - 1.5(20) = also $10 left

Answer:

(A) ✔ 0.45

(B) ✔ 0.06

(C) ✔ 0.39

(D) ✔ 7.77

Step-by-step explanation:

Got it right, hope this helps!

To find the number of acres that had been cultivated in the field 12 hours after Carrie started, we need to calculate the rate of cultivation per hour and multiply it by 12.

To calculate the rate of cultivation per hour, we need to determine how many acres Carrie cultivates in one hour. Let's assume she cultivates x acres in one hour. Then, the rate of cultivation per hour is x acres/hour.

To find the number of acres cultivated in 12 hours, we multiply the rate of cultivation per hour (x acres/hour) by the number of hours (12):

Number of acres = Rate of cultivation per hour * Number of hours

Number of acres = x acres/hour * 12 hours = 12x acres

So, the calculation needed to find the number of acres cultivated in the field after 12 hours is simply multiplying the rate of cultivation per hour by 12. The actual value of x (the rate of cultivation per hour) would need to be given in order to find the specific number of acres cultivated in the field after 12 hours.

Learn more about the rate  here:- brainly.com/question/25565101

#SPJ11

a)

Values of the given angles  ∠A = 123°  , ∠B = 123° ,∠C = 57.

Given ,

One angle of the figure as 123°.

Now,

∠C and 123° form linear pair.

So,

∠C + 123° = 180°

∠C = 57°

Now,

∠C and ∠B are pairs of interior angles on same side of transversal, thus they are supplementary.

∠C + ∠B = 180°

Substitute the value of ∠C

53° + ∠B = 180°

∠B = 127°

Now,

∠B and ∠A are vertically opposite angles.

Thus,

∠B = ∠A

So,

∠A = 127° .

Hence,

∠A= 127°

∠B = 127°

∠C = 57°

b)

Values of ∠D = 98°, ∠E = 98°, ∠F = 98° .

Given one angle as 82°

Now,

∠F and 82° form linear pair.

So,

∠F + 82° = 180°

∠F = 98°

Now,

∠D and ∠F are corresponding angles. Thus,

∠D = ∠F

∠D = 98° .

Now,

∠D and ∠E are vertically opposite angles.

Thus,

∠D = ∠E

∠E = 98°.

Hence,

∠D = 98°

∠E = 98°

∠F = 98°

c)

Values of ∠G = 75° and ∠H = 75°

Given one angle as 75° .

∠H and 75° are corresponding angles. Thus,

∠H = 75°

Now,

∠H and ∠G are vertically opposite angles.

So,

∠G = 75° .

Hence,

∠G = 75°

∠H = 75°

To learn more about angles by transversal line,

https://brainly.com/question/11293539

#SPJ1

Using subtraction, weight put on by kitten is 1,298.43.

When we subtract from the group, the total number of items falls or gets less. The minuend, subtrahend, and difference are the elements of a subtraction problem.

It involves calculating the difference between two numbers. The icon looks like this: (minus). In this operation, we take a number and divide it by a smaller number. In other words, we divide one integer by another.

Weight of kitten when Madison brought her = 787.37 grams

Current weight of Madison = 2085.8 grams

Using subtraction,

Total weight Kitten put on = (2085.8 - 787.37)grams

= 1,298.43

To learn more about Subtraction from given link

https://brainly.com/question/28467694

#SPJ1

Answer:

1. could be the next step.

3. could be the next step.

Step-by-step explanation:

The number of different orders in which the songs can be played is given as follows:

720 different orders.

The formula for the arrangements of n elements is obtained considering the factorial of the number n, as follows:

A(n) = n!.

In this problem, we are going to order 6 music files, which is also an arrangement of six elements, hence the number of different orders in which the songs can be played is obtained as follows:

A(6) = 6! = 720 different orders.

More can be learned about the arrangements formula at https://brainly.com/question/20255195

#SPJ1

Answer:

First we need to convert those feet into inches.

0.5 x 12 = 6 inches

1.5 x 12 = 18 inches

4 inches is just 4 inches

Now we just find the surface area:

6 x 4 = 24

24 x 2 = 48

18 x 4 = 72

72 x 2 = 144

6 x 18 = 108

108 x 2 = 216

Now lets add all the given areas:

48 + 144 + 216 = 408 square inches (just do the number since they tell you not to use the unit)

By fitting a regression line to this data, we can calculate the values of b₀ and b₁. These coefficients can then be used to predict the total points earned for different values of hours spent studying.

To develop an estimated regression equation showing how total points earned is related to hours spent studying, we need to perform a regression analysis.

The estimated regression model will help us understand how changes in the independent variable (hours spent studying) impact the dependent variable (total points earned).

The estimated regression equation can be represented as:
Total Points Earned = b₀ + b₁ * Hours Spent Studying

In this equation, b0 represents the intercept (the estimated total points earned when no hours are spent studying), and b1 represents the slope (the estimated change in total points earned for each additional hour spent studying).

To obtain the estimated regression model, we would need data on the total points earned and the corresponding hours spent studying.

By fitting a regression line to this data, we can calculate the values of b₀ and b₁.

These coefficients can then be used to predict the total points earned for different values of hours spent studying.

For example, if the estimated intercept (b₀) is 60 and the estimated slope (b₁) is 2, the estimated regression model would be:
Total Points Earned = 60 + 2 * Hours Spent Studying

This means that for every additional hour spent studying, the total points earned is expected to increase by 2.

Please note that the actual estimated regression model will depend on the data used and the regression analysis performed. The values provided in this example are for illustration purposes only.

To know more about equation, visit:

https://brainly.com/question/29538993

#SPJ11

This statement is true, as the test statistic represents the number of standard deviations between the observed sample proportion and the claimed value (po) under the null hypothesis.

- The large value of the test statistic means that our observed data are not surprising when the null hypothesis is true. This statement is false. A large test statistic implies that the observed data is surprising when the null hypothesis is true, which means there is evidence against the null hypothesis.
- The researcher should fail to reject the null hypothesis. This statement is false. A large test statistic suggests evidence against the null hypothesis, so the researcher should reject the null hypothesis in favor of the alternative hypothesis.

- When the null hypothesis is true, the test statistic comes from a standard normal distribution. This statement is true, as the test statistic follows a standard normal distribution when the null hypothesis is true.
- There is a 4.318% chance that the alternative hypothesis is true. This statement is false. The test statistic does not directly provide the probability of the alternative hypothesis being true. Instead, we can use the test statistic to calculate the p-value, which represents the probability of obtaining a test statistic as extreme as the observed one, assuming the null hypothesis is true.

To know more about "Hypothesis test" refer her:

https://brainly.com/question/4232174

#SPJ11

Answer:

D) $28,224.00

Step-by-step explanation:

1st hour: 480 ticket sales

2nd hour: 480 + 40% of 480 = 480 + 0.4 × 480 = 480 + 192 = 672

Total ticket sales in first 2 hours: 480 + 672 = 1152

Ticket price: $24.50

Total sales: 1152 × $24.50 = $28,224

Answer:  3 meters downward per second

Step-by-step explanation:

If it moved downward 15 meters for every 5 seconds and to find the change in the elevation each second then divide the meters by 5.

15/5 =  3  

3 meters  per second

Profitability index is 1.387. Thus, the correct option is (c) 1.387.

The formula for calculating the profitability index is:

P.I = PV of Future Cash Flows / Initial Investment

Where,

P.I is the profitability index

PV is the present value of future cash flows

The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.

The present value of cash flows can be calculated using the formula:

PV = CF / (1 + r)ⁿ

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

n is the number of periods

For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.

Substituting the values, we get:

PV = 2.85 / (1 + 0.11)¹ = $2.56 million

To calculate the present value of all future cash flows, we can use the formula:

PV = CF / (r - g)

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

g is the constant growth rate

For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.

Substituting the values, we get:

PV = 2.85 / (0.11 - 0.0385) = $39.90 million

The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.

PV of future cash flows = $39.90 million + $2.56 million = $42.46 million

Profitability index (P.I) = PV of future cash flows / Initial investment

= 42.46 / 30

= 1.387

Therefore, the correct option is (c) 1.387.

Learn more about Profitability index

https://brainly.com/question/30641835

#SPJ11

The domain of g(x) is all real numbers, and the range is (61, ∞) and the range is (61, ∞).

The domain of a function is the set of all possible input values for which the function is defined, while the range is the set of all possible output values.

For the given function g(x) = -1/4 (x−17)² + 61, the domain is all real numbers since there are no restrictions on the input values.

To find the range, we can use the fact that the vertex of the parabola is at (17, 61) and the coefficient of the squared term is negative, indicating a downward opening parabola.

Thus, the maximum value of the function occurs at the vertex and is 61, which is also the minimum possible value. Therefore, the range is (61, ∞).

In summary, the domain of g(x) is all real numbers, and the range is (61, ∞).

For more questions like Domain click the link below:

https://brainly.com/question/28135761

#SPJ4

Answer:

I hope this helps

Answer:

\(\huge\boxed{y=\frac{1}{4}x + \frac{13}{4}}\)

Step-by-step explanation:

In order to find the equation to this line, we need to note that we see two points on this graph. Using these two points, we can use them to find the slope of the graph and use one to find the y-intercept.

We know that the slope of a line is defined by \(\frac{\Delta y}{\Delta x}\) (change in y / change in x). Therefore, we can use our two points that we know - (-5, 2) and (3, 4) to find the slope.

The change in y is \(4 - 2 = 2\), and the change in x is \(3 - (-5) = 3+5= 8\). Therefore, our slope is \(\frac{2}{8} = \frac{1}{4}\).

Now that we know our slope, our equation in slope-intercept form looks something like this.

\(y = \frac{1}{4}x + b\)

However, we still have b to solve for. We can solve for this by substituting a point we already know into the equation. Let's substitute (3, 4) inside.

So now we know that the y-intercept is \(\frac{13}{4}\). Plugging that into our equation finishes it off, leaving our final equation to be \(y = \frac{1}{4}x + \frac{13}{4}\).

Hope this helped!

Answer:

y= 1/4 + 13/4

Step-by-step explanation:

mark brainless please..

;-;

(did this question before)

lol

In the 8 Axioms, 4 and 6 axioms fails to holds and S is not a vector space. Rest of the axioms try to hold the vector space.

To demonstrate that S is not a vector space, we must demonstrate that at least one of the eight vector space axioms fails to hold. Let us examine each axiom in turn:

Therefore, axioms 4 and 6 fail to hold, and S is not a vector space.

Learn more about Scalar Multiplication:

https://brainly.com/question/28890483

#SPJ4

The correct question:

Let S be the set of all ordered pairs of real numbers. Define scalar multiplication and addition on S by α(x₁, x₂) = (αx₁, αx₂); (x₁, x₂) ⊕ (y₁, y₂) = (x₁ + y₁, 0). We use the symbol ⊕ to denote the addition operation for this system in order to avoid confusion with the usual addition x + y of row vectors. Show that S, together with the ordinary scalar multiplication and the addition operation ⊕, is not a vector space. Which of the eight axioms fail to hold?

The weight of an object with a mass of 2 kg would be 6 N on this planet, assuming the direct variation relationship holds.According to the given information, the weight of an object varies directly with its mass.

This implies that there is a constant of proportionality between weight and mass. Let's denote this constant as k.

From the given data, we have:

Mass = 5 kg

Weight = 15 N

Using the direct variation equation, we can write:

Weight = k * Mass

Substituting the given values, we have:

15 N = k * 5 kg

To find the value of k, we divide both sides of the equation by 5 kg:

k = 15 N / 5 kg = 3 N/kg

Now that we know the constant of proportionality, we can find the weight of an object with a mass of 2 kg:

Weight = k * Mass = 3 N/kg * 2 kg = 6 N.

For such more questions on Weight:

https://brainly.com/question/25973294

#SPJ11

Answer:

11 = 132, 5 = 60

Step-by-step explanation:

First, you have to divide 4 by 4 and 48 by 4 to get 1 and 12 then times both by 5 to see how much it would cost for 5 tickets and by 11 to see how much money for 11 tickets.

Questions that require responses at fixed intervals along a scale of answers are called scale questions.

Closed-ended questions, such as the Likert Scale, are one of the most popular methods for gauging public opinion. To gauge people's opinions, attitudes, and beliefs, they employ psychometric testing. Statements are used in the questions, and respondents are asked how much they agree or disagree with each assertion. Likert Scale questions typically have a scale from 0 to 10, while shorter scales are also conceivable.

Every sort of research has benefits and drawbacks, and this particular question type has both in spades. The fundamental benefit of Likert Scale questions is that they follow a standard way of data collection, making them simple to comprehend.

Hence, according to the definition questions that require responses at fixed intervals along a scale of answers are called scale questions.

Learn more about scale questions here:

https://brainly.com/question/28274248

#SPJ4

The person's total salary over the first 6 years is $231,750.

To determine the person's total salary over the first 6 years, we need to calculate the sum of the salary for each year.

Given information:

- Initial salary: $34,000

- Annual raise: $1,850

- Number of years: 6

To calculate the total salary, we can use the arithmetic progression formula:

[ S = frac{n}{2} left(2a + (n - 1)dright) ]

Where:

- ( S ) is the sum of the salaries

- ( n ) is the number of terms (years)

- ( a ) is the first term (initial salary)

- ( d ) is the common difference (annual raise)

Substituting the given values, we have:

[ S = frac{6}{2} left(2(34000) + (6 - 1)(1850)right) ]

Simplifying the expression:

[ S = 3 left( 68000 + 5 times 1850 right) ]

[ S = 3 left( 68000 + 9250 right) ]

[ S = 3 times 77250 ]

[ S = 231750 ]

Therefore, the person's total salary over the first 6 years is $231,750.

Learn more about arithmetic progression from :

https://brainly.com/question/6561461

#SPJ11

Answer:

A. 312

Step-by-step explanation:

For the rectangle center multiply 6*4=24

Area of a trapezoid: ((a+b)/2)h so with this we can determine that the area of one side is 40, since there are 2 sides the area would be 80 total

24+80=104

For 3 bows: 104*3=312