CALCULUS: For an object whose velocity in ft/sec is given by v(t) = sin(t), what is its distance, in feet, travelled on the interval t = 1 to t = 5?
A. 0.45
B. 2.82
C. 0.03

Answer:

52

Step-by-step explanation:

Answer:52

Step-by-step explanation:

Answer:

175.5in

Step-by-step explanation:

12 x 9 + 67.5

If this answer is incorrect (Which it should not be) than try 243

Answer:

9 + 3 + 3 = 15

15 x 12 x 1/2(basically just dividing by 2) = 90

9 x 12 = 108

108 + 90 = 198 in^2 for a

7 x 7 = 49

7 x 7 = 49, 49 divided by 2 ( x 1/2) = 24.5

49 + 24.5 = 73.5 ft^2 for b

a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

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Answer:

The graph is in the pic

Step-by-step explanation:

The percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78% and 9 cm respectively

Percentage of the boys in the class deals with a ratio of the boys to the number of students in the class

The given parameters that will help us to get the percentage are

Mean height of the class = 152 cm

Mean height of the boys = 158 cm

The standard deviation of the boys = 5 cm

Mean height of the girls = 148 cm

Standard deviation of the girls = 4 cm

(1) The percentage of boys in the class is

Total mean height = 158 +148 = 306

Percentage = 158/306 * 100 = 51.6%

Then the  percentages 51.6/100 * 152 = 78%

(2) The total standard deviation of all the students

Boys + girls = 5+4 = 9 cm

Therefore, the percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78 students and 9 cm respectively

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The resulting graph is a circle with center at (-3,-1) and radius 3.

The graph of the equation (x+3)²+(y+1)²=9

is a circle with center at (-3,-1) and radius 3. The equation of a circle with center (a,b) and radius r is given by the equation (x-a)² + (y-b)² = r². By comparing the given equation with the standard equation of a circle, we can easily see that the center of the circle is (-3,-1) and the radius is 3. To graph a circle, we need to first plot the center of the circle, which is (-3,-1) in this case. Next, we need to mark the radius of the circle, which is 3 units. We can do this by measuring 3 units from the center in any direction and marking the point. Since the radius of the circle is the same in all directions, we can repeat this process for other directions to get points on the circumference of the circle. We can use a compass to make this process easier. After plotting a sufficient number of points, we can draw a smooth curve passing through all the points to obtain the graph of the circle.

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Answer:

4y

Step-by-step explanation:

y - (-3y)

y + 3y

4y

When you see two negatives they basically become an addition symbol. In this case you then add the like terms which are y and 3y to get 4y. Hope this helps!!

Answer:

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

As per recipe, 700 g apples is enough to make apple crumble for 8 people.

For 6 people Shahina needs:

Since she has 550 grams of apple, which is more than 525 grams, she can make it for 6 people.

Answer:

With 550g of apples and enough other ingredients, Shahina can make apple crumble for 6 people according to the given recipe.

Step-by-step explanation:

Let's compare the recipe requirements with the available ingredients to determine whether Shahina can make apple crumble for 6 people with the given ingredients.

The recipe serves 8 people and requires the following quantities of ingredients:

Shahina has 550g of apples, which is sufficient to meet the apple requirement of the recipe.

Now, let's calculate the ratio of the other ingredients needed per person

For sugar:

240g / 8 people = 30g/person

For flour:

180g / 8 people = 22.5g/person

For butter:

40g / 8 people = 5g/person

Since the recipe is designed to serve 8 people, we can use these ratios to adjust the quantities for 6 people:

For sugar:

30g/person * 6 people = 180g

For flour:

22.5g/person * 6 people = 135g

For butter:

5g/person * 6 people = 30g

Comparing these adjusted quantities to the available ingredients, we see that Shahina has enough sugar, flour, and butter to make an apple crumble for 6 people.

Answer:

What does P stand for

Step-by-step explanation:

It should say

Answer:

p - 6

is just 5 i think

Step-by-step explanation:

if this helps please mark brainlist

Answer:

The answer is B(6 2/3)

semoga membantu

Answer:

So you can make an equation.

So lets make the unknown number “x”

So it’s twice a number and it’s decreased by 3.
So 2x-3

The result is 25
2x-3=25
Now just solve for the number or “x”

X= 14

The values that we have here, the distance of the car from the point P is 71.43 meters

From the question we have the following details

the balloon rises at 50 degrees

Angle of depression = 35 degrees

x has been defined to be the pint where the car is parked

Such that we would have 90 - 35 = 55 degrees

Using the sine theorem, we would have:

50 / sin 35 = x / sin 55

50 / 0.5735 = x / 0.8191

from here we would have to cross multiply to get the value of x

x * 0.5735 = 50 x 0.8191

x = 40.597 / 0.5735

x = 71.43 meters

Hence we would say that given the values that we have here, the distance of the car from the point P is 71.43 meters

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The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

\(w = \frac{5}{8}, v = \frac{21}{2}\)

Step-by-step explanation:

With given information, we have \(\frac{TR}{TQ} = \frac{TS}{TP}\), so \(\frac{5}{13} = \frac{3w}{3w+3}\), which gives us \(w=\frac{5}{8}\). Meanwhile, we have \(\frac{TR}{TQ}=\frac{RS}{QP}\), so \(\frac{5}{13}=\frac{10}{2v+5}\), which gives us \(v = \frac{21}{2}\).

Answer:

a. 4.5 miles per hour

b. 4 hours

c. 31.5 miles

Step-by-step explanation:

1. Easy since its half an hour multiply by 2

4 2/4=4 1/2 or 4.5

2. 18 miles would take

18 divided by 4.5 is equal to

4 hours

3. & hours just multiply 4.5 by 7

31.5 miles

Answer:

ABCD

Step-by-step explanation:

ABCD

The rate of interest per annum is 12%

We are informed that the interest is one rupee in the query.

Therefore, the monthly interest rate on the principal sum is one rupee. For instance: One hundred rupees are borrowed at a one rupee interest rate. He must therefore pay one rupee in interest each month. Now that we are aware, a year has twelve months.

Consequently, the person will have to pay a total of in a year.

Re1×12=Rs12.

As a result, a 100 rupee principal sum requires a yearly interest payment of 12 rupees.

The interest rate on the principle amount is now calculated.

We are aware that the interest rate is Interest/Principal100%.

Therefore, we obtain the interest rate as R=Rs12/Rs100*100%.

Now that the numerator and denominator have been cancelled, we have R=12%.

As a result, the annual interest rate for one rupee interest for a thousand rupee principal is 12%.

As a result, "12% per annum" is the right response.

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The rest wavelength of the emission line observed at 2148 nanometers in the galaxy 100 million light-years away is approximately 2103 nanometers.

The rest wavelength of an emission line can be determined by applying the concept of redshift, which is a phenomenon observed in astrophysics where light from distant objects is shifted towards longer wavelengths due to the expansion of the universe.

In this case, the emission line is observed at 2148 nanometers (or 2.148 micrometers) in a galaxy located 100 million light-years away. To calculate the rest wavelength, we need to consider the redshift factor. Redshift, denoted by z, is defined as the observed wavelength divided by the rest wavelength minus 1.

Given that the observed wavelength is 2.148 micrometers and the galaxy is located 100 million light-years away, we need to convert the distance into a redshift factor using the cosmological relationship between redshift and distance. Assuming a standard cosmological model, we can use the Hubble constant to estimate the redshift.

The Hubble constant represents the rate at which the universe is expanding. Taking a typical value of the Hubble constant as 70 kilometers per second per megaparsec, we find that the redshift factor, z, is approximately 0.021.

To determine the rest wavelength, we rearrange the redshift equation as \((observed wavelength) = (1 + z) \times (rest wavelength)\). Substituting the values, we get \((2.148 micrometers) = (1 + 0.021) \times (rest wavelength).\)

Simplifying the equation, we find the rest wavelength to be approximately 2.103 micrometers or 2103 nanometers.

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Answer:

\(2x^{2} +13x-45\)

Step-by-step explanation:

By using FOIL method.

We have that

When a number doesn't have a sign we just suppose that it is a plus. For example,

Therefore,

Remember that if we multiply equal sings, we get a plus. Thus,

Answer: 30+15 = 45

Step-by-step explanation: your welcome

Answer:

O V=3(10XB)(12)

Step-by-step explanation:

A perfect square refers to a number that is the result of multiplying an integer by itself. In this case, 6^1 is equal to 6.

However, 6 is not a perfect square because it cannot be obtained by multiplying an integer by itself. The perfect squares up to 6^1 would be 1^2 = 1 and 2^2 = 4.

Each letter should be matched to its correct term as follows;

1. A ⇔ Efficiency.

2. B ⇔ Impossible.

3. C ⇔ Inefficiency.

In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;

Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;

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Answer: Therefore, the answer is (G) 1/2.

Step-by-step explanation:  Let's first express the perimeter of the square and the equilateral triangle in terms of x:

Perimeter of the square: 4(2x+2) = 8x + 8

Perimeter of the equilateral triangle: 3(4) = 12

Since the two shapes have equal perimeters, we can set the two expressions equal to each other and solve for x:

8x + 8 = 12

8x = 4

x = 1/2

Answer:

sorry

Step-by-step explanation:

Answer:

20\(c^{6}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

(- 4c³)(- 5c³) ← remove parenthesis

= - 4 × c³ × - 5 × c³

= - 4 × - 5 × c³ × c³

= 20 × \(c^{(3+3)}\)

= 20\(c^{6}\)

Answer:

3

Step-by-step explanation:

6(5)-10(3)+3(1)

6*5=30

10*3=30

3*1=3

30-30+3=3