What are the Applications of Differentiation of Trigonometric Functions?

The distance that Audra's frog jumped is given as follows:

7/12 of a yard.

The distance that Audra's dog jumped is obtained applying the proportions in the context of this problem.

The distance jumped by Noah's frog is given as follows:

7/8 of a yard.

Audra’s frog jumped 2/3 of the distance Noah’s frog jumped, hence the distance is given as follows:

d = 2/3 x 7/8

d = 14/24

d = 7/12 of a yard.

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Answer:

4 feet

Step-by-step explanation:

We can use the formula for the area of a rectangle to find the width of the coffee table:

Area = Length x Width

Substituting the given values, we get:

14 = 3.5 x Width

To solve for the width, we can divide both sides by 3.5:

Width = 14 / 3.5

Simplifying the right-hand side, we get:

Width = 4

Therefore, the width of the top of the coffee table is 4 feet.

The correct ranking of the spheres according to the magnitude of the electric field they produce at point P (greatest first) is: 1 > 2 > 3. The answer is option C.

Since all three spheres have the same charge Q and radius, the magnitude of the electric field at point P due to each sphere is proportional to 1/d^2, where d is the distance between the center of the sphere and point P. Therefore, the sphere closest to point P will produce the greatest electric field at that point.

Assuming that the three spheres are arranged in a straight line with sphere 1 being the closest to point P and sphere 3 being the farthest, we can rank the spheres according to the magnitude of the electric field they produce at point P as follows:

Sphere 1 produces the greatest electric field at point P since it is the closest to it.

Sphere 2 produces the second greatest electric field at point P since it is farther away from point P than sphere 1 but closer than sphere 3.

Sphere 3 produces the smallest electric field at point P since it is the farthest from it.

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Answer:

Binomial

Step-by-step explanation:

This expression is a binomial due to it having 2 terms.

bi=2

nomial=number or term

Answer:

The height of the plant now is 7 3/4 inches, as it has grown by 1 1/4 inches from the previous measurement of 6 1/2 inches.

Step-by-step explanation of how to calculate the height of the plant:

1. Measure the height of the plant last week, and record it (it is 6 1/2 inches).

2. Measure the height of the plant this week, and record it (it is 7 3/4 inches).

3. Subtract the height measured last week from the height measured this week (7 3/4 - 6 1/2 = 1 1/4 inches). This result indicates the amount the plant has grown.

4. Add the result from Step 3 (1 1/4 inches) to the height that was recorded last week (6 1/2 inches).

5. The final result is the current height of the plant, which is 7 3/4 inches.

The term 4c defines the constant term 4 is multiplied by c.

A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it.

Terms that have the same variables raised to the same power are referred to as like terms. The only difference is in the numerical coefficients.

Suppose we have an equation 2x + 3, In algebra, we don't write 2×x + 3.

We simply write 2x + 3.

Similarly, 4c mean 4 is multiplied by c, 4×c, Where 4 is the coefficient and c is the variable.

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Answer:

Step-by-step explanation:

2.8 is greater than 2.58 - because 2.8 is closer to 3 on the number line.

Answer:

(C)

Step-by-step explanation:

2.8 is greater than 2.58 - because 2.8 is closer to 3 on the number line.

Answer:

There is an error in finding the difference. The expression (x²+x) - (2x²-3x) can be simplified as follows:

(x²+x) - (2x²-3x) = x²+x + (-2x²+3x) = x² - 2x² + x + 3x = -x² + 4x

So, the correct answer is -x² + 4x, not -2²-2r.

Step-by-step explanation:

pls mark brainlist also:)

Answer:

The value of x could be anything. You need to give me a formula or I can't give you the answer.

Step-by-step explanation:

Answer:

x can be any number, 1, 2, 3, 4, 5, etc.....

If you have a formula, then I can solve it and find what number x is.

So remember, x can be any number, depending on the formula.

Hope this Helped!

Have a GOOD DAY!

Applying the centroid theorem, the length of QK in the triangle is: 10.

The centroid of a triangle is the point of intersection of the three medians of the triangle. A median is a line segment that connects a vertex of a triangle to the midpoint of the opposing side. T

The Centroid Theorem states that the centroid of a triangle is located two-thirds of the distance from each vertex to the midpoint of the opposite side.

In other words, if G is the centroid of triangle ABC, then AG = (2/3)AD, BG = (2/3)BE, and CG = (2/3)CF, where D, E, and F are the midpoints of sides BC, AC, and AB, respectively.

Therefore, given that:

Q is the centroid of ΔJKL

PQ = 5

Thus, PQ = 1/3(PK) [according to the centroid theorem]

Substitute:

5 = 1/3(PK)

15 = PK

PK = 15

QK = PK - PQ

QK = 15 - 5

QK = 10 units

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The both answers are- How much does it take to fill the cylinder? and How much is needed to completely fill the cylinder?

The cylindrical, which is routinely a two half solid, is one of the most basic curved geometric patterns. In simple geometry, it is known as a pyramid with a ring as its basis. The term "cyl" is also used to refer to a continuously curved surface in a broad range of contemporary areas of mathematics and geometry. A "cylinder" is a four structure made up of sloping surfaces with circle tops and bases. A canister is a muti solid figure with three grounds that have two identical circles connected at its height, which is defined by the separation of the structures from the centre. Examples of canisters are chilled drinks cans and toilet tissue wicks.

given

All four statements stats about cylinders .

How much does it take to cover the cylinder? and How much does it take to fill the cylinder? are both not showing volume or capacity of cylinder.

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Answer: ?

Step-by-step explanation: ?

Kinsey must save $72 per month to achieve her goal is the true statement, Option B is correct.

Two or more expressions with an Equal sign is called as Equation.

Given that Kinsey has a plan to save $60 a month for 16 months so that she can purchase a new television.

If the most that Kinsey can possibly save is $80 per month then which of the given statements will be true.

After 11 months Kinsey has saved $600.

Now let us find for 16 months.

Goal over 16 months: $60 x 16 = $960

Collected after 11 months: $600

$360 still needed to reach the goal.

5 months lefts.

Divide 360 by 5

$360 ÷ 5 = $72

Hence, Kinsey must save $72 per month to achieve her goal, option B is correct.

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Complete question

Kinsey has a plan to save $60 a month for 16 months so that she can purchase a new television. After 11 months Kinsey has saved $600. If the most that Kinsey can possibly save is $80 per month, which of the following statements is true? a. Kinsey will meet her goal and does not need to adjust her plan. b. Kinsey must save $72 per month to achieve her goal. c. Kinsey must save $75 per month to achieve her goal. d. Kinsey will not be able to achieve her goal. Please select the best answer from the choices provided A B C D

8) The percent of people that said that Pinocchio was their favorite Disney Movie is of: 28%.

9) The percent of people that said that Pinocchio or Cars was their favorite Disney movie is of: 39%.

10) The two movies that about half the people say were their favorite is of: Pinocchio and Toy Story.

From the pizza graph, the sum of all the percentages must be of 100%, hence the Pinocchio percentage is obtained as follows:

10 + 11 + 14 + 15 + 22 + P = 100

72 + P = 100

P = 100 - 72

P = 28%.

Then the percentage for Pinocchio or Cars is of:

28 + 11 = 39%.

The percentage for Pinocchio or Toy Story is of:

28 + 22 = 50%.

(about half).

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The measure of angle fge is 53.13°.

The equation used to find the measure of angle fge is the Law of Cosines. The Law of Cosines states that for any triangle, the square of the length of any side is equal to the sum of the squares of the other two sides, minus twice the product of those sides and the cosine of the angle opposite the side.

Using the Law of Cosines, we can solve for the measure of angle fge as follows:

[tex]fge = cos-1((a^2 + b^2 - c^2) / 2ab)[/tex]

For example, if the length of side a is 3, the length of side b is 4, and the length of side c is 5, then the measure of angle fge can be calculated as follows:

fge =[tex]cos-1((3^2 + 4^2 - 5^2) / 2(3)(4))[/tex]

fge = [tex]cos-1(1/6)[/tex]

fge = 53.13°

Therefore, the measure of angle fge is 53.13°.

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Answer:

the answer is 11.1 minute

Step-by-step explanation:

divide 35600 by 3200

The sample space for flipping four coins is  {HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTHT, HTTH, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH, TTTT}.

The sample space for flipping four coins can be represented as a set of all possible outcomes, where each outcome is a sequence of four coin tosses. Each coin toss can result in either heads (H) or tails (T).

The sample space, Ω, for this experiment can be expressed as:

Ω = {HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTHT, HTTH, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH, TTTT}

Here, for example, the outcome HHHT means that the first three coins landed heads, while the last coin landed tails.

The outcome HTHH means that the first coin landed heads, the second and third coins landed tails, and the fourth coin landed heads.

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The value of x for the given angles will be x = 20. The correct option is A.

The lines are the collection of collinear points arranged in a straight path. Types of lines can be a ray, segment, etc. The angle is the space between the two intersecting lines calculated in degrees.

Given that the two opposite angles when two lines intersect each other are,

(x + 40)°

(3x)°

The value of x will be calculated as:-

x + 40 = 3x

3x - x = 40

2x = 40

x = 20

Therefore, the value of x for the given angles will be x = 20. The correct option is A.

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The requried expressions that when added together have a sum of -4 n + 6 are -3n - 2 + 7n + 8 and -5n - 1 + 9n + 7.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
We can write two expressions that when added together have a sum of -4n + 6 as follows,

-3n - 2 + 7n + 8

Here, the first expression is -3n - 2, and the second expression is 7n + 8.

When we add these two expressions together, we get:

(-3n) + (7n) + (-2) + 8 = 4n + 6

So the sum of the two expressions is -4n + 6.

Again,
-5n - 1 + 9n + 7

Here, the first expression is -5n - 1, and the second expression is 9n + 7.

When we add these two expressions together, we get:

(-5n) + (9n) + (-1) + 7 = 4n + 6

So the sum of the two expressions is -4n + 6.

Thus, the requried expression that when added together have a sum of -4 n + 6 are -3n - 2 + 7n + 8 and -5n - 1 + 9n + 7.

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The common ratio of y and x in a table is identified dividing a value of y by it's respective value of x.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

The constant represents the common ratio, which is calculated as follows:

k = y/x.

Meaning that we must divide a value of y by it's respective value of x.

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Answer: (0,6), (1,5), (2,4), (3,3)

Step-by-step explanation:

I don't think I can add a picture but I can give you points and you can just draw a line through all of them

(0,6), (1,5), (2,4), (3,3)

If you want to, you can use a graphing calculator and just put the equation in. If you don't have an actual graphing calculator, I recommend using desmos online graphing calculator because it works really well.

The principal investment was $[tex]1,200.[/tex] Answer: $[tex]1,200.[/tex]

We know that after 5 years, the amount of money earned on the savings account is $ [tex]1,422[/tex], and the equation that relates the amount A to the principal P and the time t is:

[tex]A = P(1 + 0.037t)[/tex]

We can use this equation to find the value of P:

A = $[tex]1,422[/tex]

t = 5 years

[tex]0.037[/tex] is the interest rate per year

[tex]A = P(1 + 0.037t)[/tex]

$[tex]1,422 = P(1 + 0.037\Ttimes 5)[/tex]

$[tex]1,422 = P(1.185)[/tex]

To solve for P, we divide both sides of the equation by 1.185:

[tex]P = $1,200[/tex]

Therefore, the principal investment was $1,200. Answer: $1,200.

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To convert milliliters (ml) to ounces (oz), multiply the number of milliliters by 0.033814. The conversion factor of 1 ml = 0.033814 oz is used to convert any given volume in milliliters to ounces.

In order to convert milliliters (ml) to ounces (oz), we use the conversion factor of 1 ml = 0.033814 oz. This means that one milliliter is equivalent to 0.033814 ounces. To convert any given volume in milliliters to ounces, we multiply that value by the conversion factor of 0.033814.

The result should be rounded off to an appropriate number of decimal places based on the level of precision required for the particular application.

For example, if we want to convert 500 ml to ounces, we would do:

500 ml * 0.033814 oz/ml = 16.907 oz

So, 500 milliliters is equal to 16.907 ounces.

Note that this conversion factor is exact, meaning that it has an infinite number of decimal places. However, when we round off the final result, we should choose an appropriate number of decimal places based on the level of precision that we need for the particular application.

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How to Convert ml to Ounces?

Option a is correct- The length of MC is 16mm.

The equilateral triangle has its three sides with the same length.

So if the perimeter is 96 mm, we have,

perimeter = 3 * side

3 * side = 96

side = 32mm

The segment MA is the height of the equilateral triangle, and its length can be calculated with the equation,

height = (side * root(3))/2

height = 16root(3)

Using the Pythagoras' theorem in the triangle ACM, we have,

side^2 = MC^2 +height ^2

1024 = MC^2 + 768

MC^2 = 256

MC = 16mm

so, The length of MC is 16mm.

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Answer:

Step-by-step explanation: Answer c the -1 is equivalent to the -0 and -* to the third power equaled the equation mathematics of it being c

Thus, the answer c

Sample space describing all the possible outcomes,

S = { A,,C,D,E,F,G,H,I} and outcomes for choosing vowel ,V={A,E,I}.

A sample is a set of possible outcomes from a random experiment. The subset of a space is called as event.

A bag has nine balls labeled A, B, C, D, E, F, G, H, and I.

One ball will be randomly picked, and its letter will be recorded as the outcome.

Let S be the sample space describing all the possible outcomes,

S = { A,,C,D,E,F,G,H,I}

Number of elements in S , n(S) = 9.

Let V be the event of choosing a vowel as outcomes,

V={A,E,I}

Number of outcomes in V, n(V) = 3

Hence, sample space describing all the possible outcomes,

S = { A,,C,D,E,F,G,H,I} and outcomes for choosing vowel ,V={A,E,I}.

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Answer:

S)  9/25 = 36/100

W) 1/18 = 10/180

D) 7/20 = 35/100

N) 2/15 = 4/30

T) 9/10 = 36/40

F) 7/12 = 84/144

M) 19/20 = 95/100

Step-by-step explanation:

S) 9/25 = 36/100   We times 4 top and bottom

W) 1/18 = 10/180     We times 10 top and bottom

D) 7/20 = 35/100   We times 5 top and bottom

N) 2/15 = 4/30        We times 2 top and bottom

T) 9/10 = 36/40      We time 4 top and bottom

F) 7/12 = 84/144      We time 12 top and bottom

M) 19/20 = 95/100  We time 5 top and bottom

Circumference of the circle with the given diameter is 69.08 inches.

Circumference of a circle is defined as the total length of the boundary of the circle.

The concept is same as the perimeter for straight sided figures.

Given,

Diameter of the circle = 22 inches

Radius of the circle = Diameter / 2 = 22 / 2 = 11 inches

Circumference of a circle = 2πr, where r is the radius of the circle and the value of π is 3.14.

Circumference = 2 × 3.14 × 11 = 69.08 inches

Hence 69.08 inches is the circumference of the circle.

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Answer:

b

Step-by-step explanation:

Use the Avogadro constant of 6.02 x 10^23