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Answer:

41 meters

Step-by-step explanation:

\(\frac{31}{64}\) = \(\frac{19.8}{x}\)

31x = (19.8)(64)

31x = 1267.2  Divide both sides by 31 and round

x = 41

Answer:

It add up by 6.

Step-by-step explanation:

6 plus 6 is 12 plus another is 18 and it keeps going.

Answer:

time x 6 = your distance

Step-by-step explanation:

Time x 6 = distance

EXample:

2 x 6 = 12

Hope this helps!

Answer:

Step-by-step explanation:

x-​4/​5+​9

As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.

In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).

By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.

In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;

As x → -1⁻, f(x) → ∞.

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Answer:

-34/45

Step-by-step explanation:

first step you wanna do is Multiply the numbers -1/5- 1 (-2/3)- (5/6)= -1/5 and -5/9 then subtract those two fractions and you get -34/45 since both of the fractions were negative the answer results as a negative aswell

Answer:

0.0195 = 1.95% probability that on any given day only John gets homework

Step-by-step explanation:

What is the probability that on any given day only John gets homework?

John has a 65% probability of getting homework.

Paul has a 100 - 80 = 20% probability of not getting homework.

Sonia has a 100 - 85 = 15% probability of not getting homework.

Since these events are independent, the probability is the multiplication.

0.65*0.2*0.15 = 0.0195

0.0195 = 1.95% probability that on any given day only John gets homework

Answer:

0.33 or 33%

Step-by-step explanation:

6  = white marbles

4  = black marbles

10 =  total marbles

6/10 - Pulling white marbles

4/10 - Pulling black marbles

10 - 4 = 6

2/6 - Pulling two white marbles

Answer:

B

Step-by-step explanation:

a prime polynomial is one which does not factor into 2 binomials.

its only factors are 1 and itself

attempt to factorise the given polynomials

3x³ + 3x² - 2x - 2 ( factor the first/second and third/fourth terms )

= 3x²(x + 1) - 2(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(3x² - 2) ← in factored form

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

3x³ - 2x² + 3x - 4 ( factor the first/second terms

= x²(3x - 2) + 3x - 4 ← 3x - 4 cannot be factored

thus this polynomial is prime

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

4x³ + 2x² + 6x + 3 ( factor first/second and third/fourth terms )

= 2x²(2x + 1) + 3(2x + 1) ← factor out common factor (2x + 1) from each term

= (2x + 1)(2x² + 3) ← in factored form

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

4x³ + 4x² - 3x - 3 ( factor first/second and third/fourth terms )

= 4x²(x + 1) - 3(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(4x² - 3) ← in factored form

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

the only polynomial which does not factorise is

3x³ - 2x² + 3x - 4

Answer:

  117.79 m

Step-by-step explanation:

You have an observer 337 m from a skyscraper who measures the angle of elevation from a point 1.75 m above the ground to be 19°. You want to know the height of the skyscraper.

The tangent relation tells you ...

  Tan = Opposite/Adjacent

Solving for the side opposite the angle, we get ...

  Opposite = Adjacent · Tan

In this scenario, the height of the building above the eye height is ...

  height above eyes = (337 m)(tan 19°) = 116.038 m

Then the height of the building is ...

  skyscraper height = eye height + height above eyes

  skyscraper height = 1.75 m + 116.038 m = 117.788 m

The height of the skyscraper is about 117.79 meters.

Answer:

Explained below.

Step-by-step explanation:

The sample space for flipping a dollar twice is:

S = {HH, HT, TH, TT}

n (S) = 4

Independent events are those events that does not affect each other.

In this case, the outcomes of the two tosses are independent, i.e. the outcome of the second toss does not depends on the second toss.

(1)

Compute the probability of a head on the first flip:

The favorable outcomes are:

H₁ = {HH, HT}

n (H₁) = 2

\(P(H_{1})=\frac{n(H_{1})}{n(S)}=\frac{2}{4}=\frac{1}{2}=0.50\)

(2)

Compute the probability of a tail on the second flip given that the first toss was a head:

The favorable outcomes are:

T₂ | H₁ = {HT}

n (T₂ | H₁) = 1

\(P(T_{2}|H_{1})=\frac{n(T_{2}|H_{1})}{n(H_{1})}=\frac{1}{2}=0.50\)

(3)

Compute the probability of two tails:

T₁ and T₂ = {TT}

n (T₁ and T₂) = 1

\(P(T_{1}\cap T_{2})=\frac{n(T_{1}\cap T_{2})}{n(S)}=\frac{1}{4}=0.25\)

(4)

Compute the probability of a tail on the first and a head on the second:

T₁ and H₂ = {TH}

n (T₁ and H₂) = 1

\(P(T_{1}\cap H_{2})=\frac{n(T_{1}\cap H_{2})}{n(S)}=\frac{1}{4}=0.25\)

(5)

Compute the probability of at least one head on the two flips:

s = {HH, HT, TH}

n (s) = 3

\(P(s)=\frac{n(s)}{n(S)}=\frac{3}{4}=0.75\)

Answer:

$43,618

Step-by-step explanation:

Find the price of the car after this price increase.  Multiplying $38,600 by 1 yields the original price, whereas multiplying it by 0.13 yields the price increase.  Thus, we can answer this question by multiplying $38,600 by 1.13:

$38,600*1.13 = $43.618.  This is the price for which the dealer sells the car.

Answer:

The sampling distribution of the sample average score for this random sample of 64 students is approximately normal, with mean 19.6 and standard deviation 0.625.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 19.6 and a standard deviation of 5.0.

This means that \(\mu = 19.6, \sigma = 5\)

What is the sampling distribution of the sample average score for this random sample of 64 students?

By the Central Limit Thoerem, the sampling distribution of the sample average score for this random sample of 64 students is approximately normal, with mean 19.6 and standard deviation \(s = \frac{5}{\sqrt{64}} = \frac{5}{8} = 0.625\)

Answer:

737 747 4

Step-by-step explanation:

74747747

Answer:

79.8

Step-by-step explanation:

math

75% is the missing percentage in x% of 1000000 = 750000.

A fraction of a number in hundredths, or fractions with a denominator of 100 (such as 5/100), can be expressed as a percentage, also known as a %. The Latin phrase per centum, which means "per hundred," or the French word pour cent, which has a similar meaning to the Latin word, may have been the source of the word %. A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Percent is a unit of measurement.

Given,

Let x be the missing percentage,

x% of 1000000 = 750000

Dividing,

x% = 750000/1000000

x/100 = 0.75

Cross multiplying,

x = 75

75% is the missing percentage in x% of 1000000 = 750000.

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The algebraic property illustrated is the commutative property of multiplication

The properties of algebra are those properties mostly used in simplifying algebraic expressions.

Algebraic properties are:

From the expression given we have

4/5 • 5/4 = 1

= 4/ 5 × 5/ 4

= 1

Thus, the algebraic property illustrated is the commutative property of multiplication

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2/3 of 35 is 23. Kofi is 23.

We have that the equation of the line with slope -3/4 and passing through the point (-5,-2) is:

since we already know one point where the line passes, we need another point. For this, we can make x = -1 and solve for y:

then, since the line passes through (-5,-2) and (-1,-5), the line can bee seen in the plane like this:

Answer:

46

Step-by-step explanation:

convert it into an improper fraction then work it like you normally would.

The equation that represents the total cost of electric service using Zap Electric company is y = $0.06r + $6.55

The equation that represents the total cost of electric service using Bolt Electric Company is y = $0.12r + $2.83

The equation that can be used to determine the total cost of electric service is a linear equation. A linear equation is an equation that has a single variable that is raised to the power of one. When drawn on a graph, a linear equation is usually a straight line.

The total cost is the sum of the monthly service fee and the total cost of the kilowatt used.

Total cost = service fee + (charge per kilowatt x number of kilowatts used)

Zap Electric company : $0.06r + $6.55

Bolt Electric Company : y = $0.12r + $2.83

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Answer:

  about 14 months

Step-by-step explanation:

Questions regarding loan payments, values, interest amounts, number of payments, and so on, are conveniently answered by the financial formulas available in many apps, calculators, and spreadsheets. Here, we want to solve for the number of payments.

__

The time-value-of-money app on a TI-84 calculator tells us the number of monthly payments is 13.98. It will take about 14 months to pay off the credit card balance.

__

Alternate solutions

You can also use a graphing calculator to find the time value needed in the amortization formula that corresponds to a monthly payment amount of $300 on a loan of $3850 at 13.99% interest compounded 12 times per year. This is shown in the second attachment.

The algebraic solution is a little messy, and involves logarithms, but you can solve it that way, too.

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

gives the monthly payment A on a loan of principal P at annual rate r compounded n times per year for t years. We want to find the value of nt for P=3850, A=300, r=0.1399, n=12.

Putting in the numbers, we get ...

  300 = 3850(0.1399/12)/(1 -(1 +0.1399/12)^(-nt))

  (1.011658333...)^(-nt) = 0.8503847222... . . . . isolate nt term

  nt = -log(0.8503857222...)/log(1.011658333...) ≈ 13.982213...

Answer:

  2 mph

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  time = distance/speed

If s is the speed going up the mountain, then s+1 is the speed coming down. The total trip time for 6 miles up and 6 miles down is ...

  6/s +6/(s+1) = 5

  6(s+1) +6s = 5(s)(s+1)

  5s^2 -7x -6 = 0 . . . . subtract the left side, simplify to standard form

  (s -2)(5s +3) = 0 . . . . factor

  s = 2 or -3/5 . . . . values that make the factors 0

Their speed was 2 miles per hour going up the mountain.

__

Check

It took 6/2 = 3 hours to go up the mountain, and 6/(2+1) = 2 hours to come down, for a total of 5 hours.

Please find attached herewith the solution of your question.

Answer: 2.8 m

Hope it helps.

If you have any query, feel free to ask.

The table represents the relationship between favorite activities of teachers on different subject classes.

We know that for a relationship to be a function, a particular element on the Domain (in our case the subject the teachers teach) must associate with one and only one element in the Range (in our case the favorite activity). So we are particularly interested in finding if the repeated subjects relate with the same of different hobbies.

we cannot accept an element in the domain connecting with more than one element in the Range.

We notice that there are only two subjects repeated : English and Math.

and the great thing is that both English are connected to the same activity: "Wave surfing", so for this the relationship is still a true function. For the Math subject we are also lucky that the math teachers seem to prefer "Rock climbing". So the relationship IS a Function.

We are not somuch concerned with the other (non-repeated) subjects, since there is only one appearance of them in the relatonship.

so the function we define as the following pairs:

(Math, rock climbing); (English, Wave surfing), (History, Play cards), (Gym, Play cards), (spanish, Reading Books), (Physics, Wind surfing)

We gave the function in pair form.

The values into the slope-intercept form, we have y = -5x - 6

The slope-intercept form of a linear equation is given by:

y = mx + b

where 'm' represents the slope of the line, and 'b' represents the y-intercept.

In this case, the y-intercept is (0, -6), which means that the line crosses the y-axis at the point (0, -6).

The slope is given as -5.

Therefore, substituting the values into the slope-intercept form, we have:

y = -5x - 6

This equation represents the line with a y-intercept of (0, -6) and a slope of -5.

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Answer:

slope = 4

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (6, 24 ) and (x₂, y₂ ) = (0, 0 )

m = \(\frac{0-24}{0-6}\) = \(\frac{-24}{-6}\) = 4

Answer:

x = 5

Step-by-step explanation:

We know that BD = 2x - 1 and BC + CD = BD.  Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:

BC + CD = BD

x - 3 + 7 = 2x - 1

x + 4 = 2x - 1

x + 5 = 2x

5 = x

Thus, x = 5

Checking the validity of our answer:

We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:

5 - 3 + 7 = 2(5) - 1

2 + 7 = 10 - 1

9 = 9

Thus, our answer is correct.

Answer:

In the professional market there is always professional competition, because there are always different professionals competing or looking for the same jobs.

This has been the market where the demand and supply associated with work or labor elements are concentrated.

In a labor market, as in any other market, there are skills, in this context, job skills, because there are always several professionals looking for the same job offers or opportunities.

¡Hope this helped!

The smallest number that will make it divisible by 11 is n = 2 and the number is A = 7,01,69,302

Given data ,

Let the missing number be represented as n

Now , the value of the original number is A = 7,01,69,30*​

where * represents = n

To make a number divisible by 11, the difference between the sum of the digits in the odd-numbered positions and the sum of the digits in the even-numbered positions must be a multiple of 11.

On simplifying the equation , we get

To make the difference between the sums a multiple of 11, we need to add the smallest digit to the end. The smallest digit is 8

Hence , the number that is divisible by 11 is 7,01,69,302

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