Extra point hereWhich metric unit would be best to measure the diameter of a pencil?

Answer: 3,000

Step-by-step explanation: the 7 in the hundreds place is greater than 5 so you increase the 2 in the thousands place by 1

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).

To learn more about derivative, click here: brainly.com/question/23819325

#SPJ11

The value of the Nintendo after 35 years is $2455

Since the formula f(x) = 3x² - 40x + 180 predicts the value of the Nintendo x years after 1986.

Since we require the value in 2021, x years after 1986 is 2021 - 1986 = 35 years.

Substituting x = 35 into the equation, we have

f(x) = 3x² - 40x + 180

f(x) = 3(35)² - 40(35) + 180

f(x) = 3(1225) - 40(35) + 180

f(x) = 3675 - 1400 + 180

f(x) = 2275 + 180

f(x) = 2455

So, the value of the Nintendo after 35 years is $2455

Do you think this is a realistic prediction of the value of that Nintendo?

This is not a realistic prediction for the value of the Nintendo, because, it is too high.

Learn more about quadratic equations here:

https://brainly.com/question/13704125

Answer:

(0,8)

this is my guess because 90° would move it from axis to axis, switching the x & y numbers. i could be wrong though & my appologies if i am incorrect

Step-by-step explanation:

Answer: 10x² + 3x + 4

Step-by-step explanation: I hate math.

Yes the ratios are equivalent and the value is  3 : 1

This is a term used to refer to relations between two values which shows the number of times one of the value is contained in the other value.

Given data

18 balloons for every 6 centerpieces _____ratio 1

27 balloons for every 9 centerpieces _____ratio 2

18 for 6 is

18 : 6 this is simplified further to 3 : 1

27 for 9 is

27 : 9 this is simplified further to 3 : 1

since both simplifies to same values 3 : 1 they are said to be equivalent

Read more on ratios here: https://brainly.com/question/2328454

#SPJ1

The probability of having a 5-card hand that is a flush or royal flush is 0.00196

Probability: Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Flush, straight flush, and royal flush probabilities are calculated as follows: 5148/2598960≅0.00198

A flush's likelihood (while eliminating straight and royal flushes) is 5108/2598960, ≅0.00196.

Finding the fraction with the number of ways to have a flush as the numerator and the number of possible five-card hands as the denominator will allow us to determine the likelihood.

Combinations will be used to find each of these numbers (we don't care about the draw order; only about what shows up in our hand). Combinations' general formula is Cn,k=n!/(k)!(n-k)! with k=picks and n=population

Let's first determine the denominator by selecting 5 cards at random from a deck of 52 cards: C52,5=52!/(5)!(525)!

=52!/(5!)(47!)

Let's assess it!

52×51×50^10×49×48^2×47!/5×4×3×2×47!=52×51×10×49×2=2,598,960

Let's now determine the numerator.

In order to examine each hand with five cards of the same suit, we will compute all hands that feature a flush (including straight flushes, royal flushes, and flushes) (with a suit having 13 cards in total). We can say that we understand this by:

C13,5

Remember that there are 4 suites in which this might occur, but we only want 1, so multiply by C4,1. Putting it all together, we obtain:

C4,1×C13,5=4!/(1!)(4−1)!×13!/(5!)(13−5)!=4!13!/3!5!8!

Let's assess this.

4!×13×12×11×10×9^3×8!/3×2×5×4!×8!=13×12×11×3=5148

(Remember that we just calculated all hands, including straight flushes and royal flushes, that have a flush component to them!

The probability of getting a hand with a flush is:

5148/2598960≅.00198

We may exclude straight and royal flush possibilities from the 5148 flush hands by excluding those hands (which are hands with 5 consecutive value cards in the same suit, such as 3, 4, 5, 6, and 7 of hearts). Since there are four suits and 10 potential ways to get a straight (A-5, 2-6, 3-7,..., 10-A), we can subtract 4 from 5148 to get 5108 hands, which gives us the result 5108/2598960=0.00196.

The probability of having a 5-card hand that is a flush or royal flush is 0.00196

To learn more about Probability visit:

brainly.com/question/11234923

#SPJ4

Dante and Mia lost a total of 100 + 50 = 150 pennies.

Let's denote the number of pennies Dante initially had as "D" and the number of pennies Mia initially had as "M." According to the given information, we know that D + M = 350.

After Dante lost half of his pennies, he would have (1/2)D pennies remaining, and after Mia lost one-third of her pennies, she would have (2/3)M pennies remaining. It is stated that they both had an equal number of pennies after these losses.

Therefore, we can set up the following equation:

(1/2)D = (2/3)M

To simplify this equation, we can multiply both sides by 6 to eliminate the fractions:

3D = 4M

Now we have a system of equations:

D + M = 350
3D = 4M

We can solve this system to find the values of D and M. Multiplying the first equation by 4, we get:

4D + 4M = 1400

Substituting 3D for 4M from the second equation, we have:

4D + 3D = 1400
7D = 1400
D = 200

Substituting D = 200 back into the first equation, we find:

200 + M = 350
M = 150

So, Dante initially had 200 pennies, and Mia initially had 150 pennies.

To find out how many pennies they lost, we need to calculate the difference between their initial amounts and their final amounts:

Dante lost: 200 - (1/2)D = 200 - (1/2)(200) = 200 - 100 = 100 pennies
Mia lost: 150 - (2/3)M = 150 - (2/3)(150) = 150 - 100 = 50 pennies

Therefore, Dante and Mia lost a total of 100 + 50 = 150 pennies.

To know more about equation click-
http://brainly.com/question/2972832
#SPJ11

Answer:

2x + 10

_______

x^3 - 4x

Step-by-step explanation:

this is the answer

The function f(x) is defined as f(x) = 4x/8x-6.

This can be simplified to f(x) = 1/2x-3. The horizontal asymptote for this function is y = 0, as its denominator approaches 0 as x approaches infinity or negative infinity.The function f(x) is defined as f(x) = 4x/8x-6.  To find the vertical asymptote, we need to set the denominator to 0. We can solve this equation to find that the vertical asymptote of f(x) is x = 6. This means that as x approaches the value of 6, the function approaches infinity. Therefore, the horizontal asymptote of this function is y = 0 and the vertical asymptote is x = 6.

Learn more about vertical asymptote here:

https://brainly.com/question/12191454

#SPJ4

The cash value can be used to pay the premium for approximately 43 months.

To determine the number of months the cash value can be used to pay the premium, we need to find the total number of premiums that can be covered by the current cash value.

Let's denote:

P = Premium per month = $105

C = Current cash value = $4560

The number of months, M, can be calculated by dividing the cash value by the premium:

M = C / P

Substituting the given values:

M = $4560 / $105

M ≈ 43.43

Since we cannot have a fraction of a month, we round the result to the nearest whole month.

Therefore, the cash value can be used to pay the premium for approximately 43 months.

Learn more about cash value at https://brainly.com/question/31812454

#SPJ11

Given

A stock market broker lists a stock with an expected growth of 9.84% and a margin of error of £ 1.08%. What is the minimum expected growth percent for that stock?

Solution

The final answer

The minimum expected is 8.76% Euros

A card is drawn randomly from a standard 52-card deck. then the probabilities are a) 1/13 b) 3/13 and c) 10/13

There are four 3's in the deck. This means that, from 52 possible cards to drawn, we have 4 chances of drawing a 3. This means that the probability will be:

p = 4/52

p= 1/13

b.

For every suit, there are three face cards, J, Q and K. There are 4 suits, so, the total number of face cards its:

4*3 =12

The total possible cards are, still, 52, so, the probability will be

p= 12/52

p=3/13

c.

We know that the card drawn must be a face card, o not being a face card. There is no third choice here. So, the probability of drawing a face card OR not drawing a face card its:

p=52/52

p=1

so

p( the card is a face card ) + p( the card is not a face card) =1

but, we know that

p( the card is a face card ) =3/13

so

p( the card is not a face card) =1- 3/13

                                                 = 10/13

learn more about of probability here

https://brainly.com/question/13293035

#SPJ4

To find out how much the Guilderian trader must pay for the same 50 flop barrel of pickles, we need to calculate the cost per gulp and then multiply it by the number of gulps in the barrel.

Given that the Guilderian trader initially exchanged 25 gulps for the 50 flop barrel of pickles, we can determine the cost per gulp by dividing the total cost (50 flops) by the number of gulps (25).  Cost per gulp = 50 flops / 25 gulps = 2 flops/gulp . Since the gulp depreciates to 0.5 flops per gulp, the Guilderian trader must pay 0.5 flops per gulp for the same barrel of pickles.

Therefore, the Guilderian trader must pay 0.5 flops/gulp * 25 gulps = 12.5 flops for the 50 flop barrel of pickles. For the Florish trader, we need to calculate the cost per flop and then multiply it by the number of flops in the crate.

Given that the Florish trader initially exchanged 40 flops for the 20 gulp crate of apples, we can determine the cost per flop by dividing the total cost (40 flops) by the number of flops (20).

Cost per flop = 40 flops / 20 flops

= 2 flops/flop .

Therefore, the Florish trader must pay 2 flops per flop for the same crate of apples.

The Guilderian trader must pay 12.5 flops for the same 50 flop barrel of pickles, and the Florish trader must pay 2 flops for the same 20 gulp crate of apples.

To learn more about cost visit:

brainly.com/question/34278449

#SPJ11

Answer:

12ft

Step-by-step explanation:

Answer:

The kite is 15ft from the ground

Step-by-step explanation:

Answer:

nine dollars and 27 cents

Step-by-step explanation:

if u minus 14.50 minus 5.25 u get 9.27 9 dollars and 27 cents

Yw!

Answer:

9.25

Step-by-step explanation:

subtract 5.25 from 14.50

Answer:

D) 56 inches to 74 inches

Step-by-step explanation:

By the Empirical Rule, 99.7% of data in a normal distribution spread across ±3σ standard deviations from the mean μ.

Hence, the range maximum is μ+3σ = 65+3(3) = 65+9 = 74 inches, and the range minimum is μ-3σ = 65-3(3) = 65-9 = 56 inches

Thus, 99.7% of the population will have a height within the range of 56 inches to 74 inches

Answer:

according to the rules of math and echo the answer is csgo globaloffense with the ration 12.10

Step-by-step explanation:

Answer:

im him

Step-by-step explanation:

The solution of the inequality 3x + 4y ≤ 5 is (2, -1)

In mathematics, Inequality is a mathematical statement that gives unequal comparisons between algebraic terms or algebraic equations using the signs like less than, greater than, etc. The solution to an inequality is a value that satisfies the given inequality.    

Here we have

The inequality 3x + 4y ≤ 5  

To be the solution to given inequality, the ordered pair must satisfy the given equation  

So to find the correct solution check which of the following will satisfy the given inequality.    

At A. (7, 2)  

=>  3x + 4y ≤ 5  

=>  3(7) + 4(2) ≤ 5    

=>  29 ≤ 5   [ which is not true ]  

∴ A. (7, 2) is not a solution to the given inequality  

At B. (2, -1)

=> 3(2) + 4(-1) ≤ 5    

=> 6 - 4 ≤ 5  

=> 2 ≤ 5     [ which is true ]

∴ B. (2, -1) will be a solution to the given inequality  

C. (6, 1)

=> 3(6) + 4(1) ≤ 5    

=> 18 + 4 ≤ 5    

=> 22 ≤ 5    [ which is not true ]

∴ C. (6, 1) is not a solution to the given inequality

D. (5, -1)​  

=> 3(5) + 4(-1) ≤ 5  

=> 15 - 4 ≤ 5  

=> 11 ≤ 5   [ which is not true ]

∴ D. (5, -1)​ is not a solution to the given inequality

Therefore,

The solution of the inequality 3x + 4y ≤ 5 is (2, -1)

Learn more about Inequalities at

https://brainly.com/question/30231190

#SPJ1

Eigenvalues and eigenvectors can be calculated using these steps:

To find the eigenvalues and eigenvectors of a square matrix A, we follow a systematic process. Firstly, we consider the matrix A. Next, we solve the characteristic equation det(A - λI) = 0, where I is the identity matrix of the same size as A, and λ represents the eigenvalues we seek. The characteristic equation is formed by subtracting the eigenvalue (λ) times the identity matrix (I) from matrix A and taking its determinant. Solving this equation will give us the eigenvalues.

Once we have the eigenvalues, we proceed to find the corresponding eigenvectors. For each eigenvalue λ, we need to solve the system of equations (A - λI)x = 0, where x is the eigenvector associated with that eigenvalue. This system of equations is homogeneous, and we aim to find non-zero solutions for x. This can be done by row-reducing the augmented matrix (A - λI|0) and solving for x.

After repeating this process for each eigenvalue, we obtain the set of eigenvalues and their corresponding eigenvectors for the matrix A. These eigenvalues represent the scalars by which the eigenvectors are scaled when the matrix A operates on them.

Learn more about eigenvectors here:

https://brainly.com/question/32593196

#SPJ11

The elementary matrix E = [1 0 0; 0 1 0; 5/3 -2 1] such that EC = A.

To find an elementary matrix E such that EC = A, we need to perform row operations on the matrix C such that it becomes A.

We can achieve this by performing the following row operations on C:

R3 ← R3 + R1

R1 ← R1/3

R2 ← R2 - 3R1

R3 ← R3 + 5R2

The resulting matrix after these row operations is:

1 0 0

0 1 0

5/3 -2 1

Therefore, the elementary matrix E that corresponds to these row operations is:

1 0 0

0 1 0

5/3 -2 1

We can verify that EC = A by multiplying EC:

[0 3 -5 0 1 2-1 2 0 0 0 0-1 2 0 0 0 0] x [0 3 -5 0 1 2                      

0 1 2 0 0 0                      -1 2 0 0 0 0]

= [0 3 -5 1 -1 2   -1 2 0 0 0 0   0 3 -5 0 1 2]

= A

To know more about elementary matrix, refer to the link below:

https://brainly.com/question/30760739#

#SPJ11

Answer:

See attached graph

Step-by-step explanation:

The equation is given as;

\(y=\frac{2}{3} x^{2} +4x+4\)

Use a graph tool to graph and view as attached;

Answer:

Step-by-step explanation:

There are 3432 bit strings of length 14 with the same number of 0s as 1s.

(a) How many bit strings of length 14 have exactly three 0s?
To find this, we can use the combination formula: C(n, k) = n! / (k!(n-k)!), where n = 14 (length of the bit string) and k = 3 (number of 0s).
C(14, 3) = 14! / (3!(14-3)!) = 14! / (3! * 11!) = 364
So, there are 364 bit strings of length 14 with exactly three 0s.

(b) How many bit strings of length 14 have the same number of 0s as 1s?
Since the bit string has 14 bits, we need 7 0s and 7 1s for the same count.

C(14, 7) = 14! / (7!(14-7)!) = 14! / (7! * 7!) = 3432
So, there are 3432 bit strings of length 14 with the same number of 0s as 1s.

Learn more about bit strings

brainly.com/question/14229889

#SPJ11

Answer:

13

Step-by-step explanation:

i answered this for someone else a little bit ago and i got a thanks on it and i chose that answer because 13 is already on the triangle and n is too small to match up with the 13cm

Answer:

16/51

Step-by-step explanation:

simplify -4/7 divided by -3/4

then you will get -16/51 but you have to add the rule so its 16/51

I hope this is the correct answer

Answer:

y = 60

Step-by-step explanation:

Given

22 + 54 = y + 16 , that is

76 = y + 16 ( subtract 16 from both sides )

60 = y

Answer: y=60

Step-by-step explanation:

(A) If Two independent events, A and B, are such that P(A) = 0. 2 P(A U B) = 0. 8, then probability P(B) =  5/8.

The possibility of the result of any random event is referred to as probability. This term refers to determining how likely an event is to occur. What are the chances of getting a head when we toss a coin in the air, for instance? The quantity of outcomes depends on the response to this question. Here, the outcome could be either head or tail. Thus, there is a 50% chance that the result will be a head.

The probability serves as a gauge for the likelihood that an event will occur. It gauges how likely an event is to occur. The probability equation is given by;

P(E) = Number of Favourable Outcomes/Number of total outcomes

We know that

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = P(A) + P(B) - P(A).P(B)

0.8 = 0.2 + P(B) - 0.2.P(B)

0.5 = P(B)  - 0.2.P(B)

0.5 = 0.8.P(B)

P(B) = 0.5/0.8

P(B) = 5/8

Learn more about probability

https://brainly.com/question/24756209

#SPJ4