Need help with this question please! The second drop down box options are quotientdifferenceproductsum

The distance between the two buildings is 844.23 feet apart, we go this answer by simply applying the SOH CAH TOA method

Given Data

Applying the SOH CAH TOA Approach we have

Tan  θ = Opp/Adj

Substituting our given data we have

Tan 35 = 400/x

0.4738 = 400/x

make x subject of the formula we have

x = 400/0.4738

x = 844.23 feet

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Answer:

-4

Step-by-step explanation:

When talking about integers key words like below or anything being  Loss means Negative.And anything relating to an positive like   above or receive means positive which means anything  that your gaining or getting.

Answer:  18954

Step-by-step explanation:

The given format for password :  Each password will have one digit, followed by one letter, followed by two digits. The digit 7 will not be used. So, there are 26 letters and 9 digits that will be used.

We assume that the digits can be repeated.

Then by using fundamental principle of counting,

Number of passwords can be created =  (Number of digits) x (Number of letters) x (Number of digits)x(Number of digits)    

= 9 x 26 x 9 x 9

=  18954

Hence, Number of passwords can be created=  18954

Answer: im not good at math

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

15, 17, 19, 21

Find the next term

_______________

Looking at the four numbers, we need to find a pattern within them, as we can see, there is 15 that goes to 17, which follows with 17 going to 19.

The sequence here is x + 2.

Every number gets added by two to get the next term.

Therefore we will need to add 2 to 21 to get our answer :

21 + 2

23

Answer:

23

Step-by-step explanation:

you add 2 everytime and i made a 100% on quiz!

p-value of 0.0918, the z-score is approximately -1.34, while for a p-value of 0.9802, the z-score is approximately 2.05. These z-scores can be used to calculate confidence intervals, test hypotheses, and perform other statistical analyses.

1. The p-value is a measure used in statistical hypothesis testing to determine the statistical significance of a test. It is the probability of obtaining an observed sample statistic (or one more extreme in favor of the alternative hypothesis) if the null hypothesis is true. If the p-value is less than or equal to a predetermined level of significance, such as 0.05 or 0.01, the null hypothesis is rejected. It is represented in the z-distribution table by looking up the probability in the body of the table and identifying the corresponding z-score in the margins or using a calculator or software program.

2. The area beyond the z-value of 1.96 is the area in the right tail of the standard normal distribution that corresponds to a z-score of 1.96. This area is equal to 0.025, which is the probability of obtaining a z-score greater than 1.96 or less than -1.96 under the null hypothesis of no effect. This p-value is commonly used to test the null hypothesis that a population mean is equal to a hypothesized value, based on a sample mean and standard deviation.

3. To find the z-value corresponding to a p-value of 0.0918 or 0.9802, we can use a z-table or calculator to look up the probability in the body of the table and identify the corresponding z-score in the margins or using a calculator or software program. For a p-value of 0.0918, the z-score is approximately -1.34, while for a p-value of 0.9802, the z-score is approximately 2.05. These z-scores can be used to calculate confidence intervals, test hypotheses, and perform other statistical analyses.

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The given equation i.e. f (x) = 90 (-) 2 x is an example of linear decay.

What is linear decay?

A straight line which has a downward slope can be used to represent linear decline. The linear model, which has the simplest straightforward decay function, has a constant rate of decay.

We are given an equation as f (x) = 90 (-) 2 x.

This equation is an example of linear decay because the function is a linear function and the slope of the function is negative which is -2.

Hence, the given equation is an example of linear decay.

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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

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The mixed-number that is equal to 4 7/5 is 4 7/5 itself. The correct option is B) 4 7/5, using conversion into improper-fraction & vice-versa.

To convert the mixed number 4 7/5 into an improper fraction,

we will multiply the denominator by the whole number and add the numerator. 4 × 5 + 7 = 27.

Thus, 4 7/5 as an improper fraction is 27/5.

Now, we have to convert the given mixed numbers into improper fractions one by one, and then

compare it to 27/5 , is the fraction equivalent to 4 7/5.

Let's do it:

Option A:9 2/5 = 47/5

Divide 47 by 5 and we get 9 with a remainder of 2.

Thus, 9 2/5 = 47/5 which is not equal to 27/5.

Option B:4 7/5 = 27/5

As we know 4 7/5 as an improper fraction is 27/5, and it matches our answer with the given mixed number.

Option C:5 2/9 = 47/9

Divide 47 by 9 and we get 5 with a remainder of 2.

Thus, 5 2/9 = 47/9 which is not equal to 27/5.

Option D:4/5 = 0.8

Clearly, 0.8 is not equal to 27/5.

So, the mixed number that is equal to 4 7/5 is 4 7/5 itself. The correct option is B) 4 7/5.

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Answer:

Point M

1 divided by 3 is 0.3 (repeated)

jump 3 times from 5 and go in the middle of the 0.3 and 0.2 and it should be around the middle which is point M.

Answer:operation

Step-by-step explanation:

The stock worth at the close is $45.00

Answer:

Explanation:

Here, we want to write the equation of the quadratic function

We have the general form as:

from the question, we have the horizontal intercepts at t= 3 and t =4

that means (t-3) is a factor and also (t-4) is another root of the equation

The product of these two is as follows:

Finally, we need to find the value of a

We can do this by making a substitution

We substitute 1 for t and -3 on the other side of the equation

Mathematically, we have this as:

Thus, we have the equation as:

Answer:  median would be less than the mean.

Missing terms of the geometric sequence = -10, -5, -2.5

For the geometric sequence to the nth term, the formula is

\(t_{n}\) = a \(r^{n-1}\)

Here the sequence is -20, __ , __, __, -1.25...

So we have to find the 2nd, 3rd and 4th terms of the sequence.

We know the 5th term of the series by which we can find out the common ratio.

\(t_{5}\) = -20 \(r^{5-1}\)

-1.25 = -20 \(r^{4}\)

\(r^{4}\) = 1.25/20

   = 1/16

r = 1/2

The common ratio is 1/2

\(t_{2}\) = -20 \((\frac{1}{2})\)

   = -10

\(t_{3}\) = -20 \((\frac{1}{2} )^{2}\)

  = -20 \(\frac{1}{4}\)

  = -5

\(t_{4}\) = -20 \((\frac{1}{2} )^{3}\)

   = -20\(\frac{1}{8}\)

   = -2.5

Therefore the missing terms are -10, -5 and -2.5.

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Answer:

17

Step-by-step explanation:

Set up a ratio and solve

(4x + 12) / 192 = 70 / 168

(4x + 12) * 168 = 192 * 70

672x + 2016 = 13440

672x = 11424

x = 17

\(\huge \rm༆ Answer ༄\)

The equivalent expression is ~

Refer to attachment for solution ~

For x such that 0 < x < \(\frac{\pi}{2}\), the mathematical expression is:

\(\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = 1+1=2\)

Given the following data:

In Trigonometry, you should take note of the following mathematical expression:

\(sin^2x + cos^2x = 1\)

Therefore, we can obtain the following:

\(sin^2x = 1 - cos^2x\)   ...equation 1.

\(cos^2x = 1 - sin^2x\)    ...equation 2.

Substituting the equations respectively, we have:

\(\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = \frac{\sqrt{sin^2x} }{sinx} + \frac{\sqrt{cos^2x} }{cosx}\\\\\)

Taking the square roots, we have:

\(\frac{sinx}{sinx} + \frac{cosx}{cosx} = 1 +1\\\\1+1=2\)

Therefore, for x such that 0 < x < \(\frac{\pi}{2}\), the expression is:

\(\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = 1+1=2\)

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The length of the line segment connecting the two points of intersection between the parabola y = (x+8)² and the line y = 36 is 12 units. The answer is D.

To find the points of intersection, we need to set the equations of the parabola and the line equal to each other:

(x+8)² = 36

Taking the square root of both sides, we get:

x+8 = ±√36

x+8 = ±6

Solving for x, we have two possible values:

x = -8 ± 6

Therefore, the x-coordinates of the two points of intersection are x = -2 and x = -14.

Substituting these x-values back into either equation, we can find the corresponding y-values:

For x = -2: y = (-2+8)² = 36

For x = -14: y = (-14+8)² = 36

Hence, the two points of intersection are (-2, 36) and (-14, 36).

The length of the line segment connecting these two points can be calculated using the distance formula:

Length = √[(x₂ - x₁)² + (y₂ - y₁)²]

Length = √[(-14 - (-2))² + (36 - 36)²]

Length = √[(-14 + 2)² + 0²]

Length = √[(-12)²]

Length = √144

Length = 12

Therefore, the length of the line segment connecting the two points of intersection is 12 units. The answer is D.

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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: =1

Step-by-step explanation:

\(\left(11-6\right)^2+6\cdot \:2-\left(3+3\right)^2\)

\(=5^2+6\cdot \:2-\left(3+3\right)^2\)

\(=5^2+6\cdot \:2-6^2\)

\(=25+6\cdot \:2-6^2\)

\(=25+6\cdot \:2-36\)

\(=25+12-36\)

\(=1\)

The minimum number of unbroken briquets the bag would have to contain for the company to avoid having to replace the bag for free is b) 411.

A standard deviation (or σ) is a degree of the way dispersed the records is with regards to the mean. Low standard deviation approach records are clustered across the mean, and excessive widespread deviation suggests records are greater unfold out. The interval of filled bags is at confidence interval of 95%. At 95% confidence interval, Z=1.96 (from Z tables).But, Z= (x-mean)/SD => 1.96 = (x-450)/20 => x (upper limit)= 20*1.96+450489 bags. Lower limit or minimum number bags to avoid replace= 450-1.96*20 =411 bags.

Therefore, the correct option is b.

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The probability that a package shipped in a small size box will weigh more than 6 pounds is 0.9236, or 92.36%.

To find the probability that a package shipped in a small size box will weigh more than 6 pounds, we need to convert the weight of 6 pounds to the same unit as the mean and standard deviation given in the problem, which is pounds.

Since 1 pound is equal to 16 ounces, 6 pounds can be expressed as 6 * 16 = 96 ounces. Converting 96 ounces to pounds gives us 96 / 16 = 6 pounds.

Now that we have the weight in pounds, we can use the normal distribution to calculate the probability.

The mean weight of small packages is given as 6.9 pounds, and the standard deviation is 10 ounces, which is equivalent to 0.63 pounds. To find the probability that a package weighs more than 6 pounds, we need to calculate the area under the curve to the right of 6 pounds.

To do this, we can use a standard normal distribution table or a statistical calculator. Using the standard normal distribution table, we can find the corresponding z-score for 6 pounds by subtracting the mean from 6 pounds and dividing by the standard deviation:

z = (6 - 6.9) / 0.63 = -1.429

Looking up the z-score of -1.429 in the standard normal distribution table, we find that the corresponding area to the right of -1.429 is 0.9236.

Therefore, the probability that a package shipped in a small size box will weigh more than 6 pounds is 0.9236, or 92.36%.

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Negation of square root is never considered a number while rest any number comes under the category of the Real number

The Numbers here are divided into two categories: Real and Imaginary. In addition to being divided into Rational and Irrational numbers. In the category of rational numbers, fractions and integers  fall under the category. The decimal numbers which are unconvertable to the fraction  form are known as irrational numbers. This means that here in the question √-15 = 15i(where i = √-1, the imaginary number)

Hence √-15 is not considered a number while  -1.96312... comes under the category of a Real Number.

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The  total distance it flies, rounded to the nearest mile is: d. 1,692 miles .

First distance= 550 miles (given)

Second distance=483 miles (given)

Now let find the third distance

Let x represent the third distance

Hence:

x/sin79 = 550/sin55

x= 659.1

Now let calculate the total distance

Total distance=550+483+659.1

Total distance= 1692.1

Total distance= 1692 miles (rounded)

Therefore the correct option is d.

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The area of the region bounded by the curves y=x^2 +4, y=x, x=0 and x=3 is 16.5 square units.

Integrate the function using partial fractions:

∫ [(x+1)(x−2)(x+3)] / [2x² + 9x - 35] dx

The area A between the curves y=f(x) and y=g(x) from x=a to x=b is given by:

A = ∫ |f(x) - g(x)| dx, from x=a to x=b

The absolute difference between these two functions on this interval is:

|x² + 4 - x|

x² + 4 - x = x² - x + 4

Therefore, the area A is:

A = ∫ (x² - x + 4) dx, from x=0 to x=3

A = [1/3x³ - 1/2x² + 4x] (from 0 to 3)

= (1/33³ - 1/23² + 43) - (1/30³ - 1/20² + 40)

= 9 - 4.5 + 12

= 16.5 square units

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3. Integrate - \int \frac{(x+1)(x-2)(x+3)}{2x^{2}+9x-35} dx = \frac{54}{7} \ln|x-5| + \frac{5}{12} \ln|2x+7| + C

4. The required area of the region is 27/2.

3. Integrating using partial fractions:

To solve the following integral, we will begin by performing the partial fraction decomposition of the given function. Here, we have a quadratic factor, so we will begin by setting the function equal to the sum of two fractions that have first-degree polynomial denominators like this :

\frac{(x+1)(x-2)(x+3)}{2x^{2}+9x-35} = \frac{A}{x-5}+\frac{B}{2x+7}

Since the denominators are of different degrees, we must find the least common denominator of both sides.

That is (x-5)(2x+7)

Multiplying by this common denominator, we have (x+1)(x-2)(x+3) = A(2x+7) + B(x-5)

Let us now solve for A and B by substituting the values of x:

\begin{aligned}\text{Let }x&=5:\ \ 6 \cdot 8 \cdot 8 = 7A\\A&=\frac{384}{7}\\\\\text{Let }x&=-\frac{7}{2}:\ \ \frac{5}{2} \cdot -\frac{9}{2} \cdot -\frac{1}{2} = -\frac{9}{2}B\\B&=\frac{5}{6}\end{aligned}

Therefore,\begin{aligned}\frac{(x+1)(x-2)(x+3)}{2x^{2}+9x-35} &= \frac{\frac{384}{7}}{x-5}+\frac{\frac{5}{6}}{2x+7}\\\\&=\frac{54}{7} \int \frac{1}{x-5}dx + \frac{5}{6} \int \frac{1}{2x+7}dx\\\\&=\frac{54}{7} \ln|x-5| + \frac{5}{12} \ln|2x+7| + C\end{aligned}

Thus,\int \frac{(x+1)(x-2)(x+3)}{2x^{2}+9x-35} dx = \frac{54}{7} \ln|x-5| + \frac{5}{12} \ln|2x+7| + C

4. Area of the region bounded by the curves:

The area of the region bounded by the curves y=x^2, y=x, x=0, and x=3 is given by\int_0^3 (x^2-x) dx = \frac{1}{3}x^3-\frac{1}{2}x^2 \Bigg|_0^3 = \boxed{\frac{27}{2}}

Hence, the required area of the region is 27/2.

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Answer:

C. P = 30

Step-by-step explanation:

Parallelogram opposite (or parallel) sides are equal,

so:

2x = x + 2

5y - 9 = 2y + 3

For x:

2x = x + 2

2x - x = 2

x = 2

For y:

5y - 9 = 2y + 3

5y - 2y = 3 + 9

3y = 12

y = 4

the smallest sides are equal 2x and x + 2 => 2 * 2 = 4

the biggest sides are equal 5y - 9 and 2y + 3 => 2 * 4 + 3 = 11

P = 2 * (a + b)

P = 2 * (4 + 11)

P = 2 * 15

P = 30

Step-by-step explanation:

2x-y=4 means y=2x-4. -> slope of the parallel line is 2.

so using pt slope form,

y+11=2(x+3)

y+11=2x+6

y=2x-5

The y-intercept of the function f is 5.

In mathematics, a function is a rule that associates each input value from one set, called the domain, to a unique output value in another set, called the range. The input values are often represented by the variable x, while the output values are represented by the variable y or f(x).

Functions can be represented using various mathematical notations, such as equations, graphs, or tables. For example, the function f(x) = x^2 represents a rule that takes any input value x and returns the corresponding output value, which is the square of x.

To find the y-intercept of the function f, we need to find the value of y when x=0.

From the given function, we have:

y = -3x + 5

When x = 0, we have:

y = -3(0) + 5

y = 5

Therefore, the y-intercept of the function f is 5.

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