induction can be used to prove the following is true for every nonnegitive integer n

Answer:

35

Step-by-step explanation:

\(\frac{21}{60}\) x 100% = 35

Answer:

-1 27/56

Step-by-step explanation:

Using the given fractions,

−58+−67

Applying the fractions formula for addition,

=(−5×7)+(−6×8)8×7

=−35+−4856

=−8356

Simplifying -83/56, the answer is

=−12756

Answer:

  √29 ≈ 5.39

Step-by-step explanation:

There are an infinite number of irrational numbers between any pair of numbers you care to name. Some are "algebraic" in that they are roots of polynomials. Some are not. You can make up one simply by identifying a rule that can be used to determine the value.

  π + 2.2 ≈ 5.34 . . . . sum of rational and irrational

  √29 ≈ 5.39 . . . . . . root of a number that is not a square

  5.21234567891011121314151617181920... digits are sequential integers

     ≈ 5.21

  ∛150 ≈ 5.31 . . . . . . root of a number that is not a cube

Combining like terms yields 7x⁵ - x³ - x² + 4x.

By applying the law of sine, the length of side BD is equal to 9.05 cm and the image of right-angled triangle BCD is shown in the image attached below.

In order to determine the length of side BD, we would apply the law of sine because both side BD and side BC represent the opposite side and hypotenuse of right-angled triangle BCD respectively.

Mathematically, the law of sine is given by this mathematical expression:

sin(θ) = Opp/Hyp

Where:

Substituting the parameters into the formula, we have;

sin(θ) = BD/BC

sin(74) = BD/9.41

Cross-multiplying, we have:

BD = 9.41 × sin(74)

BD = 9.41 × 0.9613

BD = 9.05 cm.

By applying the law of sine, the length of side BD is equal to 9.05 cm and the image of right-angled triangle BCD is shown in the image attached below.

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Answer:

4 oranges, 5 apples, 6 pears in each bag

Step-by-step explanation:

theyre all divisible by 4

Answer:

  - 250

Step-by-step explanation:

Pick two points along the line of the graph

(4,7000) and (8,6000)

Using the slope formula

m = (y2-y1)/(x2-x1)

    = (6000-7000)/(8-4)

    -1000/4

   - 250

Answer:

-250

Step-by-step explanation:

Answer:

45.7 meters

Step-by-step explanation:

15 = 6 + 7y

9 = 7y

y = 1.3

The two lengths are still the same, so you can set the two parts equal to the whole. Now that you have y you can substitute it in and add all the sides together.

3y + 7y + 3y + 6y + 6 +15 = P

3(1.3) + 7(1.3) + 3(1.3) + 6(1.3) + 6 + 15 = P

P = 45.7 meters

Answer:

mean: 46.63636

median: 34

mode: 87

range:95

How To:

Step 1 : To find Mean

    Average = ( 1 + 5 + 5 + 7 + 8 + 10 ) / 6

             =36 / 6

    Mean = 6

Step 2 : To find Median

   Middle value = ( 5 + 7 ) / 2

               = 12 / 2

    Median = 6

Step 3 : To find Mode

   Mode = 5 (The number with more repetition, here 5 is repeated two times)

Step 4 : To find Range

    Range = Largest number - Smallest number

       = 10-1

       = 9

Range = 9

Answer:

Mean: 46.6

Mode: 87

Median: 34

Range: 95

Step-by-step explanation:

Mean: (finding the average)

Median: (the middle number of the data set)

Mode: (the most number repeated from the data set)

Range: (is the difference between the highest value and the lowest value)

first arrange the following data set.

23, 87, 19, 34, 37, 87, 81, 5, 14, 100, 26

so:

5, 14, 19, 23, 26, 34, 37, 81, 87, 87, 100

Lets us first find the mean by adding up all the numbers and dividing it by the amount of numbers in the data set.

Mean: 5 + 14 + 19 + 23 + 26 + 34 + 37 + 81 + 87 + 87 + 100 = 513/11 = 46.6

Mode: 87

Median: 34

Range: 100 - 5 = 95

Answer:

D

Step-by-step explanation:

I got it right

Using the normal distribution, it is found that 66.9% of filled boxes of rice have a weight between 28 and 29 ounces.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, the mean and the standard deviation are given, respectively, by: \(\mu = 28.2, \sigma = 0.4\).

The proportion of filled boxes of rice have a weight between 28 and 29 ounces is the p-value of Z when X = 29 subtracted by the p-value of Z when X = 28, hence:

X = 29:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{29 - 28.2}{0.4}\)

Z = 2

Z = 2 has a p-value of 0.977.

X = 28:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{28 - 28.2}{0.4}\)

Z = -0.5

Z = -0.5 has a p-value of 0.308.

0.977 - 0.308 = 0.669 = 66.9%.

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Answer:

X= 9//

Step-by-step explanation:

abc = efg

ac + cd = eg + gh

9 + (x+2) = 6 + (2x-4)

9 - 6 = 2x-4 - (x+2)

3 = x - 6

3+6 = x

9 = x//

Answer: The expected number of bulbs that would last longer than 22,250 hours is approximately 2,857.

Step-by-step explanation:

To solve this problem, we can start by finding the z-score for 22,250 using the formula:z = (x - mean) / standard deviationz = (22,250 - 20,000) / 2,250 = 1Next, we need to find the proportion of bulbs lasting longer than 22,250. We can look up this proportion in a standard normal distribution table or use a calculator, which gives us a probability of 0.1587.Finally, we can use this probability to find the expected number of bulbs that will last longer than 22,250:Expected number of bulbs = probability * total number of bulbs sold Expected number of bulbs = 0.1587 * 18,000 = 2,857Therefore, we can expect that approximately 2,857 of the 18,000 bulbs sold will last longer than 22,250 running hours.

Answer:

the afternoon is the right one

Step-by-step explanation:

60/100 ×50

= 30 ........

The lines intercept at the point (3, 9), and:

A system of linear equations can have one solution, no solutions, and infinite solutions, these are the only options.

If we have a system of equations, the solutions of the system are the points where the graphs of the equations intercept.

Here we know that the solution of the system of linaer equations is (3, 9), this means that the interception of the linear equations is at that point.

Can you have more than one solution to a Linear system of equations?

Yes, you can have:

no solution.

one solution

infinite solutions.

These are the 3 options.

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Answer:

im pretty sure its A

Step-by-step explanation:

Answer:

the answer would be A. 3,150 / 75 x h

Step-by-step explanation:

Answer:

3,1

Step-by-step explanation:

the other person accidently did it wrong

Answer:

(4,12)

Step-by-step explanation:

Since the slope is (3,1) you go up 3, 1 and when you get 12,4 you graph x then y so, (x,y) = (4,12)

Hope it helps:)

The amount of fabric used to make the number cube is given as follows:

C. 294 cm².

The amount of fabric used to make the number cube is represented by the surface area of the number cube.

The surface area of a cube of side length a is given by the equation presented as follows:

S = 6a².

The side length for this problem is given as follows:

a = 7 cm.

Hence the surface area of the cube is calculated as follows:

S = 6 x 7²

S = 294 cm².

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Answer:

\(\dfrac{\pi}{4},\dfrac{3\pi}{4}\)

Step-by-step explanation:

\(2\sin^2(\theta)=1\)

Divide both sides by 2:

\(\sin^2(\theta)=\dfrac{1}{2}\)

Take the square root of both sides:

\(\sin(\theta)=\dfrac{1}{\sqrt{2}}=\dfrac{\sqrt{2}}{2}\)

The only two places on the unit circle where the y value of the point is \(\dfrac{\sqrt{2}}{2}\) are at:

\(\dfrac{\pi}{4},\dfrac{3\pi}{4}\)

Hope this helps!

π/4 , 3π/4 is the solution of the given equation

The equations that involve the trigonometric functions of a variable are called trigonometric equations. In the upcoming discussion, we will try to find the solutions to such equations. These equations have one or more trigonometric ratios of unknown angles. For example, cos x -sin2 x = 0, is a trigonometric equation that does not satisfy all the values of x. Hence for such equations, we have to find the values of x or find the solution.

According to the question

2\(sin^{2}\)θ = 1

Divide both sides by 2:

\(sin^{2}\)θ = 1/2

Take the square root of both sides:

sinθ = 1/\(\sqrt{2}\) = \(\sqrt{2}\)/2

The only two places on the unit circle where the y value of the point is  are at:

π/4 , 3π/4

Hence,π/4 , 3π/4 is the solution of the given equation

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Answer:

Step-by-step explanation:

A

Step-by-step explanation:

What do u mean by reflected on the axis? You want the equation?

Answer:

y=45

Step-by-step explanation:

Answer:

=45

Step-by-step explanation:

Answer:

(0, -23)

Step-by-step explanation:

the slope is -12/18 or -2/3 in reduced form

i used the point (-36,1) and -2/3 as the slope to find 'b' (the y-intercept):

y = mx + b

1 = -2/3(-36) + b

1 = 72/3 + b

1 = 24 + b

-23 = b

Answer:

2 units

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

Substitute -2/5(x) - 1 for y in 2x + 5y = 20

Therefore, the answer is no solutions.

Answer:

c=a2+b2=102+172≈19.72308

Step-by-step explanation:

a calculator bro its easy

The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.

To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).

Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.

Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:

Confidence Interval = 70 ± (2.576 * 6.4 / √48).

Simplifying the expression, we get:

Confidence Interval ≈ 70 ± 1.855.

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To begin, let's find how much the book is including tax and the student discount.  Once we find this, we can see if Lara or Alex is correct and if they can afford it.

First, we want to compute the student discount. The student discount is 35%. Thus, we can do 0.65 x 28.50 = 18.525. With 10% tax, we have 18.525 x 1.1 = 20.3775. Which will round up to $20.38.

Now, lets see what Alex did and if he got the same answer. First he takes 35% of $28.50 and subtracts it from the normal price.

.35 x 28.50 = 9.975

28.50 - 9.975 = 18.525

Then he takes 10% of this number and adds it back.

.10 x 18.525 = 1.8525

18.525 + 1.8525 = 20.3775

Alex has the correct answer.

Next, we will see if Lara computed it correctly.

First she takes 65% of the normal price.

0.65 x 28.50 = 18.525

Then she computes 110% of the reduced price.

18.525 x 1.10 = 20.3775

Lara also gets the correct answer.

So, do they have enough money to purchase the book?

YES:

$20.38 < $21

Is Alex correct?

YES

Is Lara correct?

YES

Although they used different methods to get the answer, they both got the right one!

Answer:

please attach the figure

Step-by-step explanation:

no figure provided

Answer:

There is no picture for the area of the figure

Step-by-step explanation:

Please attach the picture next time in order for me to help

Answer:

Step-by-step explanation: