If i gain 5 coins a minute and after 4 hours the amount i gain per minute goes up by 1, now 52674 hours have passed how many coins have i gained up till now

Answer:

A

the tiles add up to x^2 + 4x + 3

(x + 1) (x + 3)

factor it out, and you get x^2 + 4x + 3.

The values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.

We know that the amplitude, A = 2 + T; the angular velocity, ω = 4 + U rad/s; and time, t = 1s. Here, the value of T = 1 and the value of U = 4 (as mentioned in the question).

Harmonic motion is a motion that repeats itself after a certain period of time.

Harmonic motion is caused by the restoring force that is proportional to the displacement from equilibrium.

The three types of harmonic motions are as follows: Free harmonic motion: When an object is set to oscillate, and there is no external force acting on it, the motion is known as free harmonic motion.

Damped harmonic motion: When an external force is acting on a system, and that force opposes the system's motion, it is called damped harmonic motion.

Forced harmonic motion: When an external periodic force is applied to a system, it is known as forced harmonic motion.Vectorial formVibrations of harmonic motion can be represented in a vectorial form.

A simple harmonic motion is a projection of uniform circular motion in a straight line.

The displacement, velocity, and acceleration of a particle in simple harmonic motion are all vector quantities, and their magnitudes and directions can be determined using a coordinate system.

Let's now calculate the values of displacement, velocity, and acceleration.

Displacement, s = A sin (ωt)

Here, A = 2 + 1 = 3 (since T = 1)and, ω = 4 + 4 = 8 (since U = 4)

So, s = 3 sin (8 x 1) = 2.68 m (approx)

Velocity, v = Aω cos(ωt)

Here, v = 3 x 8 cos (8 x 1) = 2.24 m/s (approx)

Acceleration, a = -Aω2 sin(ωt)

Here, a = -3 x 82 sin(8 x 1) = -18.07 m/s2 (approx)

Thus, the values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.

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Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.

The number of degrees of freedom is large, then the student's T distribution is close to the normal distribution.

The degrees of freedom is the number of observation in a sample that are free to vary when we estimate the statistical data. Degree of freedom will also indicate the independent piece of information in the data.

Basically, the T distribution or student's distribution is a family's of distribution that look identical to the normal distribution.

So, the number of degrees of the freedom is large then it will closely related to normal distribution.

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Answer:

if 100% of something is the whole thing and she increased it by 100% that means the price she sold the shoes is 200%. 200÷2 100. original price was $100

Answer:200+200=400

Step-by-step explanation:

Answer:

tan B =8/15

Step-by-step explanation:

take angle B as reference angle

tan rule

tan B=opposite / adjacent

= 8/15

Tan∅ = b/h

so,

= 8/15 is your answer!

The calculated expectation of X is 0.1

From the question, we have the following parameters that can be used in our computation:

P{X = -1}=0.2, P{X = 0} = 0.5, P{X = 1}=0.3

The expectation of X is calculated as

E(x) = ∑xp(x)

So, we have

E(x) = -1 * 0.2 + 0 * 0.5 + 1 * 0.3

Evaluate

E(x) = 0.1

Hence, the expectation of X is 0.1

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The measure of angle ABD (m ∠ABD) is 44°

The measure of angle CBD (m ∠CBD) is 44°

The measure of angle ABC (m ∠ABC) is 88°

From the question, we are to calculate the measures of the given angles

From the given, information, we have that BD bisects ∠ABC

Thus,

m ∠ABD = m ∠CBD

From the given diagram,

m ∠ABD = (6x + 14)°

and

m ∠CBD = (3x + 29)°

Then,

(6x + 14)° = (3x + 29)°

Solve for x

(6x + 14)° = (3x + 29)°

6x + 14 = 3x + 29

Collect like terms

6x - 3x = 29 - 14

3x = 15

x = 15/3

x = 5

Put the value of x into the equations

m ∠ABD = (6(5) + 14)°

m ∠ABD = (30 + 14)°

m ∠ABD = 44°

Since

m ∠ABD = m ∠CBD

Then,

m ∠CBD = 44°

and

m ∠ABC = m ∠ABD + m ∠CBD

m ∠ABC = 44° + 44°

m ∠ABC = 88°

Hence, the m ∠ABD = 44°, m ∠CBD = 44°, and m ∠ABC = 88°

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Answer:

B

Step-by-step explanation:

We know that it costs 37 cents to mail a letter that weighs 1 oz or less. This would mean that for x ≤ 1, P(x) should equal 37. Already, we can eliminate A and D.

We also know that it costs an additional 26 cents for at most another ounce added to the original 1 ounce. This means that for 1 < x ≤ 2, P(x) = 26 + 37 = 63. This is shown by B.

Thus, the answer is B.

~ an aesthetics lover

Explanation

We will have to find the population density of each of the regions

To get the population density, we will have to divide the population of each region and then divide by the area of the of each region

For part A

The population density of region A is

For region B

The area of region B is

The population density of region B is

For region C

The population density of region C

Thus, we can observe that Region C has a population density lower than 60 animals per square miles

Thus, option C is correct

The toddler is at rest at t = 2 seconds. The toddler is at rest when the velocity, which is the derivative of the position function with respect to time, is equal to 0.

We need to find the time t for which s'(t) = 0.

Taking the derivative of s(t), we get:

s'(t) = 12t^3 - 24t^2 - 12t + 24

Setting s'(t) = 0, we can factor out a 12:

12(t^3 - 2t^2 - t + 2) = 0

We can see that t = 2 is a solution to the cubic equation in parentheses by plugging it in and verifying that the value of the expression is 0. We can then factor the cubic equation as:

(t - 2)(t^2 - t - 1) = 0

Using the quadratic formula or factoring further, we can find that the other two solutions are:

t = (1 ± sqrt(5))/2

However, we need to check that these solutions are valid by plugging them back into the original position function and making sure they correspond to a point where the toddler is at rest. We find that only t = 2 satisfies this condition, so the toddler is at rest at t = 2 seconds.

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The mathematical terms that are originated from the Arabic mathematician, al-Khwarizmi are algebra, root, and fraction (option a, c and f)

Algebra is one of the most prominent mathematical terms that originated from the work of al-Khwarizmi. The term "algebra" comes from the Arabic word "al-jabr," which means "reunion of broken parts." In his book "Kitab al-Jabr wa al-Muqabala," al-Khwarizmi introduced the concept of balancing equations and solving for unknown variables. This concept forms the basis of algebra as we know it today.

The concept of fractions is also attributed to al-Khwarizmi. In his book "Kitab al-Jam'a wal-tafriq bi-ḥisab al-Hind," he introduced the concept of breaking down quantities into smaller parts. This concept forms the basis of fractions, which are essential in mathematics and everyday life.

Lastly, the term "root" also has its origins in al-Khwarizmi's work. In his book "Kitab al-Jabr wa al-Muqabala," he introduced the concept of finding the square root of a number. This concept forms the basis of the square root function in mathematics.

Hence the options (a), (c), and (f).

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Complete Question:

Which mathematical terms originated from the Arabic mathematician, al-Khwarizmi?

Check all that apply.

A) algebra

B) decimal

C) fraction

D) perfect square

E) remainder

F) root

The probability that less than a third of the entry forms will include an order is 0.3760.

To solve this problem, we need to use the binomial distribution, which is a probability distribution that describes the number of successes in a fixed number of independent trials. In this case, we want to find the probability that less than a third of the 15 entries will include an order, given that the probability of receiving an order with an entry form is 0.5.

Let X be the random variable that represents the number of entries with an order out of the 15 total entries. Then X follows a binomial distribution with parameters n=15 and p=0.5. The probability of less than a third of the entries having an order is equivalent to the probability of X being less than or equal to 5, since 5 is one third of 15.

Using a binomial probability table or calculator, we can find that the probability of X being less than or equal to 5 is 0.3760, rounded to four decimal places.

In summary, we used the binomial distribution to model the number of entries with an order, and found the probability that less than a third of the entries will include an order. We obtained a probability of 0.3760, which represents the likelihood of observing 5 or fewer entries with an order out of the 15 total entries.

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Answer:

randomly choosing a marble from a bag, replacing it, and choosing again

rolling a number cube, rolling again, and trying to match the first roll

Explanation:

In an independent event, getting a certain outcome once does not change the probability of getting the same outcome again.

The second option (about the coins) is NOT independent because if you pull out a dime on your first try, there are fewer dimes in your pocket and you are less likely to pull out a dime the second try. The third option (about drawing a number) is also NOT independent for the same reason: you don't put the number back into the hat after drawing it out, so there's fewer numbers the second time and the probability is different.

Answer:

x = 28°

Step-by-step explanation:

using the cofunction identity

cos x = sin(90 - x) , then

cos62° = sin(90 - 62)° = sin28°

PLEASE GIVE ME BRAINLIEST! :)

Answer:

14.4

Step-by-step explanation:

To solve the equation 18/30 = x/24,

you can use cross-multiplication:

18/30 = x/24

Multiply both sides by 24:

(18/30) * 24 = x

Simplify:

(3/5) * 24 = xx = 14.4

Therefore, the solution is x = 14.4.

Answer:

x = 14.4

Step-by-step explanation:

\(\frac{18}{30} =\frac{x}{24}\)

Since we  have a proportion, we can cross multiply.

\(30x=432\)

Divide by 30

\(x=14.4\)

The teacher has to select four members out of a math club of twelve members. There are 495 possible ways for her to make the selection.

To determine the number of ways the teacher can select four members from a math club of twelve, we can use the concept of combinations. A combination is a selection of items without regard to the order in which they are chosen. In this case, the teacher needs to select four members, and the order in which they are chosen does not matter.

The formula for calculating combinations is given by "n choose k," which is denoted as C(n, k) or nCk. In this case, the teacher needs to choose four members out of twelve, so the calculation would be 12C4.

Using the formula for combinations, 12C4 = 12! / (4!(12-4)!), where "!" represents the factorial function. Simplifying the expression gives us 12! / (4!8!).

The factorial function represents the product of all positive integers up to a given number. So, 12! is equal to 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1.

Simplifying further, we have 12! / (4!8!) = (12 × 11 × 10 × 9) / (4 × 3 × 2 × 1).

Calculating the expression gives us (11880) / (24) = 495.

Therefore, there are 495 possible ways for the teacher to make her selection of four members from the math club of twelve.

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A player can choose 7 numbers from the numbers 1 to 40 in 85,900,584 different ways.

To determine the number of ways a player can choose 7 numbers from a pool of 40 numbers, we can use the concept of combinations.

The number of ways to choose 7 numbers from a set of 40 can be calculated using the binomial coefficient, denoted as "40 choose 7" or (40 C 7).

The formula for the binomial coefficient is given by:

(n C k) = n! / (k! * (n - k)!)

where n is the total number of items to choose from and k is the number of items to be chosen.

Applying this formula to our case, we have:

(40 C 7) = 40! / (7! * (40 - 7)!)

Simplifying this expression:

(40 C 7) = 40! / (7! * 33!)

Since 7! can be canceled out in the numerator and denominator, we have:

(40 C 7) = (40 * 39 * 38 * 37 * 36 * 35 * 34) / (7 * 6 * 5 * 4 * 3 * 2 * 1)

Calculating this expression:

(40 C 7) = 85,900,584

Therefore, a player can choose 7 numbers from the pool of 40 in 85,900,584 different ways.

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Answer:

Abiola stayed at work for 8 hours and 40 minutes.

Step-by-step explanation:

Abiola wasted 20 minutes waiting for her friend, so she actually left for work at 7:50 am (7:30 am + 20 minutes).

She arrived at work at 8:20 am, so she spent 30 minutes (8:20 am - 7:50 am) traveling to work.

Abiola worked from 8:20 am to 4:00 pm, which is a total of 7 hours and 40 minutes (4:00 pm - 8:20 am).

She then stayed at work for an additional 1 hour to watch African Magic, so in total, she was at work for 8 hours and 40 minutes (7 hours and 40 minutes of work + 1 hour of watching African Magic).

Therefore, Abiola stayed at work for 8 hours and 40 minutes.

Answer:

umm is there a diagram for this?

Answer:

The same shape but aren't always the size. Corresponding angles must be congruent. Corresponding sides are proportional.

Step-by-step explanation:

Answer: 2 ribbons can be cut

Since 3/4 divided by 1/3 = 2.25, therefore you can make 2 full sized ribbons. He will have 3/4 of a ribbon left.

Answer:

35.88

Step-by-step explanation:

92/100 = x/39. 100x = 3588. x = 35.88

The equations that have the same solution as 2X -5 equals 15 is option B and option D.

Given equation:

2x -5 = 15

solve for value of x

2x = 15 + 5

2x = 20

divide by 2 on both sides

x = 20/2

x = 10

A. 2x =10

x = 10/2

x = 5

B. 2x = 20

x = 20/2

x = 10

C. 2(x -5) = 15

2x -10  = 15

2x =25

x = 25/2

x = 12.5

D. 2x - 20 = 0

2x = 20

x = 20/2

x = 10

E. 15 = 5 - 2x

2x = 5 - 15

2x = -10

x = -5

From the option A,B,C,D,E we observe that only options B , D x value matches with the given equation x value so option B and option D is correct.

Therefore he equations that have the same solution as 2X -5 equals 15 is option B and option D.

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The probability to draw a green bead is 1/3 and the probability to draw a green or yellow bead is 2/3

It is given that the bag contains 1 red bead, 2 yellow beads, 2 green beads, and 1 blue bead.

Hence the total no. of beads in the bag = no. of red + yellow + green + blue beads

= 1 + 2 + 2 + 1 beads

= 6 beads.

Let the event to draw a green bead be A

Let the event to draw a yellow bead be B

Probability of any event = no. of outcomes favorable to that event/ total number of outcomes

Hence P(A) = no. of green beads/ total no. of beads

= 2/6

= 1/3

Hence the probability that a green bead is drawn is 1/3

P(B) = no. of yellow beads/ total no. of beads

2/6 = 1/3

We need to find P(A or B)

= P(A U B) = P(A) + P(B) - P(A ∩ B)

P(A ∩ B) = P(A and B)

Since no bead is of 2 colors, P(A ∩ B) = 0

Hence we get

P(A U B) = 1/3 + 1/3

= 2/3

Hence the probability to draw a green or yellow bead is 2/3

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Answer:

Part A: A = 8

B = 20

C = 28

D = 35  

E = 37

F = 72

G = 43

H = 57

I = 200

Part B: 18.5%

Part C:

D = People who do not like Orange Juice

B = People who do not like Apple Juice

I use the values of B and D because these are the values that represent dislike for that juice, and also because adding them together creates a value for not liking either juice.

D = 35

B = 20

So there is a greater dislike for Orange Juice.

Step-by-step explanation:

The height of the radio tower is 327.3070 feet.

EXPLANATION

Let's first sketch the problem.

From the sketch above, adjacent = 46 θ=82

opposite = h (height of the radio tower.

Using the trigonometric ratio,

Cross-multiply

h ≈ 327.3070 feet.

Therefore, the height of the radio tower is 327.3070 feet.

Answer:

Slope = 0.06

Step-by-step explanation:

From the question, we are not asked what to calculate but we can as welll look for the slope of the relationship.

Slope in this scenario will be the rate of change in price of milk with respect to time.

Slope = ∆P/∆t

The standard equation will be expressed as P = mt+c where

m is the slope

t is time

P is the price of milk.

Comparing this with the given model

P(t)=0.06t+2.52

On comparison, we can see that;

m = 0.06

Hence the slope of the expression is 0.06

Answer:

Slope = 0.06

Step-by-step explanation:

From the question, we are not asked what to calculate but we can as welll look for the slope of the relationship.

Slope in this scenario will be the rate of change in price of milk with respect to time.

Slope = ∆P/∆t

The standard equation will be expressed as P = mt+c where

m is the slope

t is time

P is the price of milk.

Comparing this with the given model

P(t)=0.06t+2.52

On comparison, we can see that;

m = 0.06

Hence the slope of the expression is 0.06