How many 5​-digit numbers can be formed using the digits​ 0, 1,​ 2, 3,​ 4, 5,​ 6, 7,​ 8, 9, if repetitions of digits are​ allowed?

Answer:

− 2 B + 14 a + 4 b

The value of cos(2α + β) using trigonometric identities is; -1.0155

We are given;

α = sin⁻¹(4/5)

β = tan⁻¹(12/5)

Thus;

sin α = 4/5

tan β = 12/5

From trigonometric ratios, we can say that;

cos α = 3/5

sin β = 12/13

cos β = 5/13

We know from trigonometric identities that  cos (a + b) = cos a cos b - sin a sin b.

Thus;

cos(2α + β) = cos 2α cos β - sin 2α sin β

Thus;

cos(2α + β) = 2(3/5) * (5/13)) - ((2 * 4/5 * 12/13))

= 0.4615 - 1.477

= -1.0155

Read more about Trigonometric Identities at: https://brainly.com/question/7331447

#SPJ1

Answer:

Do you have an attached picture?

Step-by-step explanation:

Answer:

There's nothing there

Step-by-step explanation:

The correct statement is: g(x) is translated up 5 units compared to f(x).

The correct answer is A.

The correct answer is A.

For such more questions on translated

https://brainly.com/question/12861087

#SPJ8

So...you are one of those people who write a question without an image.


Well for now I will answer the question with assumed information.

You are looking for expressions equivalent to 5x-2.


Some sample answers:
-2+5x
x5-2

2(2.5x-1)

\(\frac{10x-4}{2}\)

Answer: 2x−2+3x, hopefully, this is the answer that you are looking for.

The exact binomial probability that 45 or more people in the survey get enough exercise is 0.0853.

The mean (also called the arithmetic mean or average) is a measure of central tendency that represents the typical or average value of a set of data. The mean is calculated by summing up all the values in the data set and dividing by the number of values.

a. To calculate the probability that 45 or more people in the survey get enough exercise using a normal approximation for p hat, we need to first find the mean and standard deviation of the sample proportion.

The mean of the sample proportion is:

μ = p = 0.20

The sample proportion's standard deviation is:

σ = √[(p(1-p))/n] = √[(0.20)(0.80)/200] = 0.034

Using the normal distribution with a continuity correction, we can find the probability of 45 or more people getting enough exercise:

z = (45 - 0.20200 + 0.5) / √(0.200.80*200) = 1.24

P(Z > 1.24) = 0.1082

Therefore, the probability that 45 or more people in the survey get enough exercise is approximately 0.1082.

b. To find the exact binomial probability that 45 or more people in the survey get enough exercise, we can use the binomial cumulative distribution function (CDF) with n = 200 and p = 0.20:

P(X ≥ 45) = 1 - P(X < 45) = 1 - binomcdf(200, 0.20, 44) = 0.0853

Therefore, the exact binomial probability that 45 or more people in the survey get enough exercise is 0.0853.

To know more about mean visit:

https://brainly.com/question/23631778

#SPJ1

Answer:

R=417.46 N

Step-by-step explanation:

If ans is correct you can ask me for explanation .

The gradient of the line is -2.

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

A surface with a rising or falling surface; one end or side that is higher than the other.

Gradient means the slope.

y= 5-2x

Slop intercept form of a line is y= mx+b .......(1), m=slope, b= y intercept

Rewrite the given equation in the form of equation 1

y= -2x+5

On comparing with (1), m= -2

So, gradient of the line is -2.

To learn more about the slope from the given link

https://brainly.com/question/16949303

#SPJ4

Answer: 1/6

Step-by-step explanation:

The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.

Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.

To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.

Let's start with the first equation:

2 + x = 5

Subtract 2 from both sides:

x = 3

Now let's move on to the second equation:

x + 1 = 4

Subtract 1 from both sides:

x = 3

Notice that we got the same value of x for both equations, so they are equivalent.

Next, let's look at the third equation:

9 + x = 6

Subtract 9 from both sides:

x = -3

Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.

Now, let's move on to the fourth equation:

x + (-4) = 7

Add 4 to both sides:

x = 11

This value of x is also different from the first two equations, so it is not equivalent to them.

Finally, let's look at the fifth equation:

-5 + x = -2

Add 5 to both sides:

x = 3

Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.

So, correct options are A, B and E.

To learn more about equations click on,

https://brainly.com/question/29266004

#SPJ1

Complete question is:

Which of the following equations are equivalent? Select three options.

2 + x = 5

x + 1 = 4

9 + x = 6

x + (- 4) = 7

- 5 + x = - 2

Answer:

Step-by-step explanation:

3.8cm by 2.4cm

The grams of cocoa does it contains is 36.57 grams

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

Weight of the chocolate bar = 69

Proportion = 53%

This implies that

Grams of cocoa = weight of the chocolate bar * Proportion

Substitute the known values in the above equation, so, we have the following representation

Grams of cocoa = 53% * 69

Evaluate the products

Grams of cocoa = 36.57

Read more about percentage at

https://brainly.com/question/843074

#SPJ1

Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.

aggregate attempting to determine the whole amount, time, or quantity. The amount at issue or under investigation is very active. the overall outcome, significance, or import. a third accounting, the principal, and the interest. There are word forms for quantities, amounting, and amounted. adaptable noun A thing's quantity is how much of it there is, that however much someone have, the amount you require or how much you can get. He needs that much money to make ends meet.

given

You can use a fraction to express the percentage 20%.

This is inferred from the fact that the sign for percentage,% means to divide by 100.

Therefore, it is important to understand that 20% equals 20/100, or 1/5.

As a result, the 20% tip represents one-fifth of the total.

Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.

To know more about amount visit :-

brainly.com/question/8082054

#SPJ1

Answer: -11/7

Step-by-step explanation: Got it right

The slope of the given relation 2x³ - 3xy + y³ = -1 is -11/7. Option (A) is correct option.

The value of the steepness or the direction of a line in a coordinate plane is known as the slope of a line, often known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope can be determined using a variety of techniques.

the slope of any funtion y = f(x) can be given as dy/dx.

The given relation is,

2x³ - 3xy + y³ = -1

To find the slope of the graph of the given relation,

Differentiate relation with respect to x,

d/dx(2x³ - 3xy + y³) = d/dx(-1)

6x² - 3x dy/dx - 3y + 3y²dy/dx = 0

6x² - 3y = 3x dy/dx -3y² (dy/dx)

dy / dx =(6x² - 3y)/3x - 3y²

dy / dx = 2x²  - y / x -y²

The slope at point (2, -3)

dy / dx = 2(2)²  - (-3) / 2 - (-3)²  

= 8 + 3 / 2 - 9

= 11/ -7

= -11/7

The slope of the given relation is -11/7.

To know more about Slope on:

https://brainly.com/question/16941905

#SPJ2

Answer:

1.01 × \(10^{-5}\)

2.7 × \(10^{-5}\)

1.01 × \(10^{-4}\)

2.7 × \(10^{5}\)

Step-by-step explanation:

The negative exponent automatically makes it smaller than the positive exponent. The more negative the exponent is, the less the value it will be. However, since 1.01 < 2.7, then it is less.

All work and answers are provided in the attached screenshot! :)

Answer:

S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:

(3,p): The first element is 3 and the second element is p.

(3,0): The first element is 3 and the second element is 0.

(4,q): The first element is 4 and the second element is q.

(1,4): The first element is 1 and the second element is 4.

Answer:

0.40

Step-by-step explanation:

5/13 = 0.38461538461. Hundreths place is the 2nd number after decimal so if you round 8 it'll be .40

Answer:

5/13 as a decimal to the nearest hundredth is 0.39 or 0.40.

Step-by-step explanation:

You simply need to divide 5 by 13, and you get 0.384615, but round to the nearest hundredth gets you 0.40

See the attachment  for the graphed inequalities.

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(x-y=8\implies -y=-x+8\implies y=\stackrel{\stackrel{m}{\downarrow }}{1}x-8\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ 1 \implies \cfrac{1}{\underline{1}}} ~\hfill \stackrel{reciprocal}{\cfrac{\underline{1}}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{\underline{1}}{1} \implies \text{\LARGE -1}}}\)

Answer:

B, C, G

Step-by-step explanation:

If we look at the graph, it shows that if an employee works for 5 hours, then they will earn $36.25.

We can take 36.25 and divide that by 5 to get the hourly wage.

36.25 ÷ 5 = 7.25

We now know that employees get $7.25 every hour.

Using this we can look back to the graph.

'A' says that if an employee does not work, they will earn $7.25.

We know that this is wrong because if you do not work, then you do not earn money.

Let's look at 'B'.

If employees work for one hour, they will earn $7.25

We know this is correct because we now know the hourly wage.

Let's look at 'C'

If employees work for 4 hours, then they will get a revenue of $29.

We can figure this out by using this equation.

number of hours × hourly wage = total payment

4 × 7.25 = 29

Then this means that this is correct.

Let's look at 'D'

It says that if employees work for 10 hours, they will earn $73

Let's use that same equation again.

10 × 7.25 = 72.5

Employees earn $72.5 for working 10 hours, not $73.

So, this is obviously incorrect.

Let's look at 'E'

It says that if employees work for 3.5 hours, they will get a revenue of $21.75.

3.5 × 7.25 = 25.375

Therefore, this is incorrect.

Now let's take a look at 'F'.

It says that if employees work for 7.25 hours, then they earn $1.

This is incorrect.

And lastly, 'G'.

We know that if you do not work, then you do not earn money.

Therefore, A, B and G are the correct answers.

Answer:

should be complementary angles

Answer:

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

The range of the given function has one restriction, its denominator can't be zero, hence:

Therefore the function can get any value but zero:

The matching answer choice is D.

Linear function is f(x) = mx + b.

Reciprocal of a function f(x)  is 1/f(x).

So the reciprocal of linear function has a form of f(x) = 1 / (mx + b).

The only answer choice in same form is D.

Substitute x = - 5/3 into function to get:

This is undefined value, therefore it represents the vertical asymptote.

The function gets close to - ∞ when x → - 5/3 from left and gets close to +∞ when x → - 5/3 from right (see attached graph).

Therefore the correct choice is B.

Answer:

see explanation

Step-by-step explanation:

(16)

The mid segment ZW is half the sum of the parallel bases

ZW = \(\frac{38+20}{2}\) = \(\frac{58}{2}\) = 29

(17)

The lower base angles are congruent , so

∠ UYX = ∠ VXY = 35°

(18)

Any lower base angle is supplementary to any upper base angle , then

∠ VUY = 180° - ∠ UYX = 180° - 35° = 145°

(19)

\(\frac{UV+XY}{2}\) = ZW

\(\frac{3x-1+7x+1}{2}\) = 10 ( multiply both sides by 2 to clear the fraction )

10x = 20 ( divide both sides by 10 )

x = 2

Then

XY = 7x + 1 = 7(2) + 1 = 14 + 1 = 15

(20)

The legs are congruent , so

UY = VX

5a - 6 = 3a + 2 ( subtract 3a from both sides )

2a - 6 = 2 ( add 6 to both sides )

2a = 8 ( divide both sides by 2 )

a = 4

Answer:

18, there are 18 blueberries

Step-by-step explanation:

81÷9=9

2×9=18

Answer:

18 blueberries

Step-by-step explanation:

Let no. of blueberries be b.

=> 2 : 9 = b : 81

=> b = 2 x 81 / 9

=> b = 2 x 9

=> 18 blueberries

Question: \(2*3y^{2} -2(x-y^{2} )\)

Answer: \(8y^{2} -2x\)

Answer:

\(m=\frac{y-b}{x}\)

Step-by-step explanation:

\(y=mx+b\\\\y-b=mx+b-b\\\\y-b=mx\\\\\frac{y-b}{x}=\frac{mx}{x}\\\\\frac{y-b}{x}=m\)

a) The rule that represents the height as a function of the number of bounces is described by H(n) = 1.5 · (71 / 100)ˣ⁻¹. (Correct choice: B)

b) The height at the top of the sixth path is equal to 0.27 meters. (Correct choice: B)

In this problem we need to derive the equation that represents maximum height as a function of the number of bounces:

H(n) = a · (r / 100)ˣ⁻¹

Where:

If we know that a = 1.5 m and r = 71, then the rule for the sequence is:

H(n) = 1.5 · (71 / 100)ˣ⁻¹

And the height at the top of the sixth path:

H(6) = 1.5 · (71 / 100)⁶⁻¹

H(6) = 0.27 m

To learn more on exponential functions: https://brainly.com/question/11154952

#SPJ1

Answer:

There is a 0.0107% probability that you could be denied boarding if the carrier is Atlantic Southeast Airlines.

Step-by-step explanation:

EDMENTUM

Answer:  0.0107%

Step-by-step explanation: