I only need the two equations

Answer:172.72

Step-by-step explanation:

68 inches = 172.72 centimeter

How to convert inches to centimeter ?

Add 2.54 centimeters to the provided inch value to convert it to centimeters. For instance, multiply 7 by 2.54 to translate from inches to centimeters.

What is centimeter ?

The International System of Units' centimeter (SI symbol cm), sometimes known as a centimeter (international spelling) or centimeter (American spelling), is a unit of length (SI),

Exactly how big is one inch?

A yard and a foot are equivalent to an inch. A metric inch is precisely 2.54 centimeters. One whole inch is made up of two half inches and four quarter inches.

what is a inch ?

The British imperial and American customary systems of measurement both use the inch as their standard unit of length (symbolised as in or ′′). It is the same as 1/36 of a yard 

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Answer: option C.

Step-by-step explanation:

If city X is in the point (0,0)

Now, we can use that a displacement of L in distance with an angle A, gives us that the components of the displacement are:

X = L*cos(A)

Y = L*sin(A)

So we know that the city Y is located in:

(40m*cos(40°), 40m*sin(40°))

Now, from this point he moves other 40m with an angle of 140°.

The new position is

(40m*cos(40°) + 40m*cos(140°), 40m*sin(40°) + 40m*sin(140°))

this is:

40m*(cos(40°) + cos(140°), sin(40°) + sin(140°)) = 40m*( 0, 1.28)

the new position is (0, 51.2m)

This means that for a new displacement L and angle A we have:

X = L*cos(A) = 0

Y = L*sin(A) = 51.2m

Cos(A) is only 0 when A = 90° or 270°,

and we know that sin(90°) = 1 and sin(270°) = -1

As we have a positive number in the Y equation, we can conclude that A must be 90°.

Then

Y = L*sin(90°) = L = 51.2m

Here we finded that the bearing of Z from city X is 90°

Answer:

28 of the student do not snowboard

Step-by-step explanation:

Answer:

2

I am surprised to know that some people don't know that (no offense.)

Step-by-step explanation:

I don't know how to explain it LOL

Answer:

2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

-2 + 3x  = 6wv

Add 2 to both sides

3x = 6wv + 2

Divide the entire equation by 3

\(\dfrac{3x}{3}=\dfrac{6wv+2}{3}\\\\\\x = \dfrac{6wv+2}{3}\)

Answer: C

Step-by-step explanation: it says that As Treatment X became more effective(In the graph it shows its increases) Treatment Y became less effective. The graph shows as one is increasing other decrease.

The scatter plot C best demonstrates this relationship.

An inverse relation is a relation in which value of two variable is inversely proportional to each other.

Given,

When treatment X became more effective, treatment Y became less effective.

Also, when treatment Y became more effective, treatment X became

less effective.

Therefore, variables X and Y follows inverse relationship.

Hence, Graph between X and Y is correct in option C.

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Answer:x=4 y=6.66666666667

Step-by-step explanation:

MedianThe formula to calculate the median of the given data is:Median = [(n+1)/2]th. The given data for sales and salesman is as follows:No of Sales: 0-4 5-9 10-14 15-19 20-24 25-29.

Number of Salesman: 1 14 23 21 15 6MeanThe formula to calculate the mean of the given data is:Mean (X) = (ΣX)/n where, ΣX is the sum of all the values in the given data and n is the total number of values.Mean = (0x1 + 5x14 + 10x23 + 15x21 + 20x15 + 25x6)/(1+14+23+21+15+6)= 371/80

Mean = 4.64 approx.MedianThe formula to calculate the median of the given data is:

Median = [(n+1)/2]th observation when n is odd

Median = ([n/2]th observation + [(n/2)+1]th observation)/2 when n is even.To calculate the median, we need to arrange the given data in ascending order:No of Sales: 0-4 5-9 10-14 15-19 20-24 25-29 Number of Salesman: 1 14 23 21 15 6Arranging in ascending order: No of Sales: 0-4 5-9 10-14 15-19 20-24 25-29 Number of Salesman: 1 14 15 21 23 6Median = ([n/2]th observation + [(n/2)+1]th observation)/2

when n is even= ([80/2]th observation + [(80/2)+1]th observation)/2

= (40th observation + 41st observation)/2

= (21 + 23)/2

Median = 22

Mode The mode is the value that appears most frequently in the given data. The value 10-14 appears most frequently in the given data. Therefore, the mode is 10-14.VarianceThe formula to calculate the variance of the given data is:σ2 = Σ(x - μ)2 / N where,σ2 is the variance,x is the value in the data set,μ is the mean of the data set,N is the total number of values.

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Answer:

$450

Step-by-step explanation:

You want to calculate the interest on $3000 at 3% interest per year after 5 year(s).

The formula we'll use for this is the simple interest formula, or:

Where:

P is the principal amount, $3000.00.

r is the interest rate, 3% per year, or in decimal form, 3/100=0.03.

t is the time involved, 5....year(s) time periods.

So, t is 5....year time periods.

To find the simple interest, we multiply 3000 × 0.03 × 5 to get that:

The interest is: $450.00

Usually now, the interest is added onto the principal to figure some new amount after 5 year(s),

or 3000.00 + 450.00 = 3450.00.

Answer:

y=586.4

Step-by-step explanation:

64^2= 64x64 = 4096

4096-7y+9=0

4105-7y=0    1. +7y on both sides

4105=7y       2. /7 on both sides

y=586.4

Running a 60-watt LED light bulb for 24 hours would consume 1.44 kilowatt-hours (kWh) of electricity, which, depending on the cost of electricity in your area, could range from around $0.10 to $0.30.

To calculate the cost of running a 60-watt LED light bulb for 24 hours, we need to determine the energy consumption in kilowatt-hours (kWh) and multiply it by the cost per kWh in your area.

First, convert the wattage to kilowatts by dividing it by 1000: 60 watts ÷ 1000 = 0.06 kilowatts.

Next, calculate the energy consumption by multiplying the power (0.06 kW) by the time (24 hours): 0.06 kW × 24 hours = 1.44 kWh.

The cost will vary depending on your location and the price of electricity. In the United States, the average residential electricity rate is around $0.13 per kWh. Multiplying the energy consumption (1.44 kWh) by the electricity rate ($0.13) gives us the cost: 1.44 kWh × $0.13/kWh = $0.1872.

Therefore, the cost to run a 60-watt LED light bulb for 24 hours would be around $0.10 to $0.30, depending on the specific electricity rates in your area.

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The pH is calculated using the formula:

The question gives the pH of lemon juice to be 2.2.

Hence, the formula is written to be:

Multiply both sides by -1:

Since the log is in base 10, we have:

Apply the law of log

The two numbers are 0.72 and 2.780 when the product is 2.0016.

Let x be the other number that when multiplied with 0.72 gives us the product of 2.0016. We can set up the following equation:

0.72 * x = 2.0016

To solve for x, we can divide both sides of the equation by 0.72:

x = 2.0016 / 0.72

x ≈ 2.780

Therefore, the two numbers are 0.72 and 2.780.

We can check our answer by multiplying these two numbers together:

0.72 * 2.780 ≈ 2.0016

Our answer checks out, and we can confirm that the product of 0.72 and 2.780 is indeed 2.0016.

In summary, given the product of two numbers, we can find the other number when one of them is known by setting up an equation and solving for the unknown number. In this case, we found that the two numbers are 0.72 and 2.780.

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Answer:

1) a 2) b

Step-by-step explanation:

Answer:

1.)A    2.)B

Step-by-step explanation:

The formula is y=mx+b, so whatever number is in the b spot that is your intercept and where you start and the slope is rise/run so that is how many times you move. Hope this helps:)

Answer:

147 square yards

Step-by-step explanation:

Area = 21 x 14 x 1/2

Area = 294 x 1/2

Area = 147 yd ^ 2

Hope that helps! :)

-Aphrodite

To solve the first equation, f(x) = x^2 - 7x^2 + 2x + 9 = 0, we can use the quadratic formula. The quadratic formula states that for an equation in the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In our case, the equation is x^2 - 7x^2 + 2x + 9 = 0, so a = 1, b = -7, and c = 2.

Plugging in these values into the quadratic formula, we have:

x = (-(-7) ± √((-7)^2 - 4(1)(2))) / (2(1))

Simplifying further:

x = (7 ± √(49 - 8)) / 2

x = (7 ± √41) / 2

Now, let's approximate the roots up to 4 significant digits:

x ≈ (7 + √41) / 2 ≈ 6.7053

x ≈ (7 - √41) / 2 ≈ 1.3259

Therefore, the roots of the equation f(x) = 0 are approximately x = 6.7053 and x = 1.3259.

For the second equation, x^2 + 2x + 4 = 0, we can also use the quadratic formula. In this case, a = 1, b = 2, and c = 4.

Applying the quadratic formula:

x = (-2 ± √(2^2 - 4(1)(4))) / (2(1))

x = (-2 ± √(4 - 16)) / 2

x = (-2 ± √(-12)) / 2

Since the term under the square root is negative, we have complex roots. Simplifying further:

x = (-2 ± √(12)i) / 2

x = -1 ± √3i

Therefore, the roots of the equation x^2 + 2x + 4 = 0 are approximately x = -1 + √3i and x = -1 - √3i.

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Using the binomial distribution, there is a 0.6328 = 63.28% probability that she wins at most 1 prize.

For each box, there are only two possible outcomes, either it has a prize, or it does not. The probability of a box having a prize is independent of any other box, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The probability is:

\(P(X \leq 1) = P(X = 0) + P(X = 1)\)

Hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{5,0}.(0.25)^{0}.(0.75)^{5} = 0.2373\)

\(P(X = 1) = C_{5,1}.(0.25)^{1}.(0.75)^{4} = 0.3955\)

Then

\(P(X \leq 1) = P(X = 0) + P(X = 1) = 0.2373 + 0.3955 = 0.6328\)

0.6328 = 63.28% probability that she wins at most 1 prize.

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Answer:

Each pair costs $8.86

Step-by-step explanation:

Divide 35.45 by 4

You get 8.8625

Round that to the nearest hundredth.

You get $8.86

Hope this helped!

Answer:

Lots of "ifs" here.

A=bh/2 is the formula for the area of a triangle.

A=bh is the formula for the area of a rectangle or a parallelogram.

If the 6 & 4 area the base & height of a rectangle, then (6)(4) = 24 in^2

If the 6 & 10 are the base and height of a triangle, then 1/2(6)(10) = 30 in^2

Step-by-step explanation:

Answer:

step one is the identitey  property step 2 is the communative property step 3 is the associative property

Step-by-step explanation:

Answer:

square root of 75, using Pythagorean theorem.

Step-by-step explanation:

Since the probability is less than 5%, which is the conventional threshold for unusual results, we can conclude that the time of 14.5 seconds is unusual for this school's 100 meter sprint. Therefore, the correct answer is D) −1.5; unusual.

To solve this question, we need to calculate the z-score using the formula:

z = (x - μ) / σ

Where x is the individual time, μ is the mean time, and σ is the standard deviation.

Substituting the given values, we get:

z = (14.5 - 17.6) / 2.1 = -1.48

Since the calculated z-score is negative, we need to refer to the standard normal distribution table to find the corresponding probability. Looking up the z-score -1.48 in the table, we find that the probability is 0.0694 or approximately 6.94%.

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Answer:

28 in

Step-by-step explanation:

Given is an isosceles triangle.

In an isosceles triangle, measure of the sides opposite to the equal angles are equal.

Therefore,

3x + 2 = x + 6

3x - x = 6 - 2

2x = 4

x = 4/2

x = 2 in

x + 6 = 2 + 6 = 8

Perimeter of the triangle

= 8 + 8 + 12

= 28 in

Answer:

the closet would have a width of 5 ft in real life. (5')

Step-by-step explanation:

When forming a blueprint, we often draw out / design the structure before building (so that we aren't just randomly building).

To do this, we are probably going to need to scale down the size of the measurements (scale down = make them each less at the same rate)

And, we usually need to include what the scale factor is (the amount that we are dividing/multiplying by to get from one size to another whilst staying at the same proportions).

If each inch on a map was ten miles, and you drew a 10 inch line, that would be representing a 100 mile line in real life.

1 : 10   =   10 : 100

\(\frac{1}{10}=\frac{10}{100}\)

(a scale factor of 10 is simple to work with logically. If the scale factor was a random number, like 7, finding equivalent ratios / fractions from dividing the original fraction to the value it is indicating. For example, if a map says 1 inch = 7 miles, I would know that whatever you have to multiply to get to 7 miles . There are 63,360 inches in a mile, so there are 443,520 inches in 7 miles. So, if I changed the area I am looking at to two inches, I must find how many inches would be in 2 x 7,  [7+7] miles. The method that I found this value through is by finding how much I had to change the 1 to get to 2. I had to multiply the original value by 2, so I also must multiply the corresponding ratio by 2).

So, if 1 inch is equivalent to 10 feet (1" = 10'), and the width on the blueprint is 0.5 inches, we need to find how to get from 1 to 0.5.

(we divide by 2 ;        1 / 0.5 =  2        ;       0.5 x 2 = 1)

If we are dividing by 2 to find one half of the ratio, we will also need to divide by the same value to find the second half of a ratio.

10 ft / 2 = 5 ft

So, the closet would have a width of 5 ft in real life. (5')

Answer:

0.43715

Step-by-step explanation:

We solve using z score calculator

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = $276,000

σ is the population standard deviation = 32,000

For x = $276,000

z = 276,000 - 276,000/32000

z = 0

Probability value from Z-Table:

P(x = 276000) = 0.5

For x = $325,000

z = 325,000 - 276,000/32000

z = 1.53125

Probability value from Z-Table:

P(x = 325000) = 0.93715

The probability that the next house in the community will sell for between $276,000 and $325,000 is

P(x = 325000) - P(x = 276000)

= 0.93715 - 0.5

= 0.43715

The another root for the given polynomial is 3 + 2i.

A complex number is defined as a number containing both real and imaginary part which is written as x + iy. The conjugate of a complex number can be obtained by changing the sign of the imaginary part of the number. the product of a complex number and its conjugate is the square of its magnitude.

One of the complex roots of a polynomial is given as 3 - 2i.

Since, all the coefficients of the polynomial P(x) are real.

The another root should be the complex conjugate of the given root.

Thus, the other root is given as below,

3 + 2i

Hence, the additional root is given as 3 + 2i.

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