Not sure about this

Answer:

The slope of given equation in standard form

                \(m = \frac{-7}{9}\)

Step-by-step explanation:

Explanation:-

Given equation of the line 7x + 9y = 14

The given equation in slope-intercept form, y = mx + b

Slope - intercept form   \(y = \frac{-7}{9} x + \frac{14}{9}\)

Comparing  m = - 7/9

Here m = -7/9

        C = 14/9

The slope of given equation in standard form

                \(m = \frac{-7}{9}\)

Answer:

Pathegon Therom A^2 + B^2 = C^2

13 - 6 = 7

7^2 = 49

49 + 3^2 = 58

58 squared = 7.61577...

rounded = 7.616

rounded = 7.62 is your answer

Answer:

Step-by-step explanation:

Use Pythagorean theorem,

AC² = AB² + BC²

x² = 7² + 3²

   = 49 + 9

   = 57

x = √57

x = 7.6

Answer:

y = - \(\frac{1}{3}\) x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c (m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 6, - 3) and (x₂, y₂ ) = (6, - 7) ← 2 points on the line

m = \(\frac{-7-(-3)}{6-(-6)}\) = \(\frac{-7+3}{6+6}\) = \(\frac{-4}{12}\) = - \(\frac{1}{3}\)

The line crosses the y- axis at (0, - 5 ) ⇒ c = - 5

y = - \(\frac{1}{3}\) x - 5 ← equation of line

Answer:

6x^2 + 23x -18

Step-by-step explanation:

The solution as a trinomial of the given algebraic factor (3x-2)(2x+9) will be 6x² - 23x - 18.

An algebraic factor is the multiplication of two algebraic terms.

That term could be in form of summation multiplication or in subtraction.

The root of the quadratic equation formed by the algebraic factor is always real.

As per the given algebraic factor,

(3x-2)(2x+9)

⇒ 3x(2x) + 3x(9) - 2(2x) - 2(9)

⇒ 6x² + 27x - 4x - 18

⇒ 6x² - 23x - 18

Hence "The solution as a trinomial of the given algebraic factor (3x-2)(2x+9) will be 6x² - 23x - 18".

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Answer: D'C'

Step-by-step explanation:

Dilations preserve parallelism, so AB is parallel to A'B' and CD is parallel to C'D'.

Since Q is a trapezoid, AB is parallel to CD.

So, A'B' is parallel to C'D'.

Yes, it is a rhombus because the diagonals are congruent.

Firstly, we will need to try the following options one after the other in order to ascertain our answer

The first option

To find the distance between two points

Distance = Higher number - Lower number

-3 - 20

= - 23

This is very wrong because it has a negative sign

The second option

7 - (-16)

In mathematics, - x - = +

7 + 16

7 + 16 = 23

The answer is OPTION B

Answer:

4 + 3p ≥ 40

Step-by-step explanation:

4 points in the first round plus 3p (identical scores) has to be at least 40 points or higher to move on.

Answer:

IG: yiimbert

Sure, here are the calculations for both sides step by step:

(2x3²)²

= (2x9)²   // Evaluate the exponent 3² to get 9

= 18²     // Multiply 2 and 9 to get 18

= 324    // Square 18 to get 324

Therefore, (2x3²)² = 324

(3²)²

= 9²     // Evaluate the exponent 3² to get 9

= 81    // Square 9 to get 81

Therefore, (3²)² = 81

As we can see, (2x3²)² = 324 and (3²)² = 81, and they are not the same value.

The value of z is given as follows:

z = 12.

First we apply the Pythagorean Theorem to obtain the altitude of the triangle, as follows:

\(x^2 + 6^2 = (6\sqrt{3})^2\)

\(x = \sqrt{(6\sqrt{3})^2 - 6^2}\)

x = 8.49.

Then the value of z is obtained applying the geometric mean theorem, as follows:

8.49² = 6z

z = 8.49²/6

z = 12.

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For a larger input size of 320,000 elements, it will take 240 ms to sort each half and 24 ms to merge the sorted halves, resulting in a total time of 264 ms.

The given information describes the time required for sorting and merging operations on two different input sizes. For 80,000 elements, it takes 18 ms to sort each half, resulting in a total of 36 ms for sorting. Merging the two sorted halves with 80,000 numbers in each takes 40 - 18 = 22 ms.

When the input size is doubled to 320,000 elements, the sorting time for each half increases to 240 ms, as it scales linearly with the input size. The merging time, however, remains constant at 4 ms since the size of the sorted halves being merged is the same.

Thus, the total time for sorting and merging 320,000 elements is the sum of the sorting time (240 ms) and the merging time (4 ms), resulting in a total of 264 ms.

Therefore, based on the given information, the total time required for sorting and merging 320,000 elements is 264 ms.

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The numbers 31.3 sec, 41.05 sec, and 42.015 sec represent continuous data since time measurements can take on any value within a given range. Therefore, these numbers are not discrete but continuous.

The numbers, 31.3 sec, 41.05 sec, and 42.015 sec, represent the times taken by the runners to complete their runs. In this case, the numbers are continuous.

Continuous data refers to measurements that can take any value within a certain range or interval. In the context of measuring time, it is possible to have infinitely many possible values between any two given points. For example, between 31.3 sec and 31.31 sec, there can be an infinite number of additional decimal places.

Discrete data, on the other hand, consists of values that are separate and distinct with no intermediate values possible. Discrete data is typically based on counting or whole numbers, such as the number of runners or the number of wins in a competition.

In this scenario, the times of the runners are measured using a continuous scale, where the smallest unit of time can be divided further into smaller increments. Therefore, the times of the runners, 31.3 sec, 41.05 sec, and 42.015 sec, are considered continuous data.

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The club has to sell each box for $84 to make a profit of $39 per box because each box costs $45.

Profit = price charged  - the cost of goods

$39 = price - $45

Price = $84

So, they have to charge $84 per box. Since there are 60 bars in each box, the price per bar has to be:

$84/60 = $1.4 per bar

It's costing the club $45/60=$0.75 per candy bar to buy.

The club sells each candy bar for $1.4, making a profit of $0.65 per candy bar.

60*$0.65=$39

Thus, the club has to sell each box for $84 to make a profit of $39 per box because each box costs $45.

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$39 = price - $45

Price = $84

$84/60 = $1.4 per bar

It's costing the club $45/60=$0.75 per candy bar to buy.

60*$0.65=$39

Thus, the club has to sell each box for $84 to make a profit of $39 per box because each box costs $45.

The length of HI is given as follows:

HI = 15.

Two triangles are defined as similar triangles when they share these two features listed as follows:

The proportional relationship for the side lengths in this problem is given as follows:

3/HI = 5/25

Applying cross multiplication, the length of HI is given as follows:

3/HI = 1/5

HI = 3 x 5

HI = 15.

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Answer:

lower quartile - 38

upper quartile - 59

maximum - 62

median - 46.5

minimum - 32

I hope this help. Have a great day!

Answer:

1/15 or approximately 0.067 or 6.7%.

Step-by-step explanation:

The total number of marbles in the bag is 3+2+4+1=10.

The probability of pulling a red marble on the first draw is 3/10, since there are 3 red marbles out of 10 total marbles.

Since we are not replacing the marble after each draw, the probability of pulling another red marble on the second draw decreases slightly. After one red marble has been drawn, there are only 2 red marbles left out of 9 total marbles. So the probability of pulling a second red marble is 2/9.

Therefore, the theoretical probability of pulling two red marbles without replacement is:

P(Red, Red) = P(Red on first draw) x P(Red on second draw, given that the first marble was red)

= 3/10 x 2/9

= 1/15

So the theoretical probability of pulling a red marble without replacement is 1/15 or approximately 0.067 or 6.7%.

The value of the theoretical probability of pulling a red marble without replacement is,

= 3/10

= 0.3

= 30%

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A bag has 3 red marbles, 2 blue, 4 green and 1 yellow.

Hence, Total marbles = 3 + 2 + 4 + 1 = 10

Thus, The value of the theoretical probability of pulling a red marble without replacement is,

P = Desired Outcomes / Total number of outcomes.

P = 3 / 10

P = 0.3

P = 30%

Thus, The value of the theoretical probability of pulling a red marble without replacement is,

= 3/10

= 0.3

= 30%

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There are 68,096 ways to distribute 8 different toys among six different children if at most 3 toys are given to the first two children combined.

The case where the first two children get zero toys. In this case, we need to distribute 8 toys among 4 children (since the first two children are not receiving any toys).

This can be done in \(4^8\) ways (since there are 4 choices for each toy and 8 toys in total).

Next, let's consider the case where the first two children get exactly one toy each.

In this case, we need to distribute the remaining 6 toys among 4 children (since the first two children already have a toy each).

This can be done in (4 choose 2) * \(2^6\) ways (since we need to choose which two children get a toy, and there are 2 choices for each of the remaining toys).

Finally, let's consider the case where the first two children get exactly two toys each.

In this case, we need to distribute the remaining 4 toys among 4 children (since the first two children already have 4 toys between them).

This can be done in (4 choose 2) * (2 choose 2) * \(4^4\)ways (since we need to choose which two children get two toys each, and then distribute the remaining toys among the remaining two children).

Therefore, the total number of ways to distribute 8 different toys among six different children if at most 3 toys are given to the first two children combined is:

\(4^8\) + (4 choose 2) * \(2^6\) + (4 choose 2) * (2 choose 2) * \(4^4\)

= 65,536 + 1,536 + 1,024

= 68,096

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Answer:

B is the answer because yes

The total income produced by a continuous income stream in the first 15 year is $2000.

What is continuous income?

We can see the money flowing into the account continuously rather than in a lot of discrete payments if the deposits are made often enough and the intervals between deposits are short compared to the account's overall lifespan. This scenario will be referred to as a constant revenue stream.

The rate of flow is given by the following​ function is

f(t) = 2000

Where t is the time in year.

Putting t = 15 in the given function.

f(15) = 2000

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Complete Question
The complete Question is attached

Answer:

Let's put the chart into ordered pairs:

(x, y)

(2,1)

(3,4)

(3,3)

(4,2)

(5,5)

In bold, we see that there are two y-values at x=3. This means that this relation fails the vertical line test (two points on the same verticle line). This is not a function. 

The answer options may be mis-written. 

The answer is no, because one x value corresponds to more than one y-value. 

Answer:

-1-8

Step-by-step explanation:

The graph showing one cycle of the trigonometric function y = 8 cos 8x is plotted and attached

Trigonometric graphs are graphical representations of trigonometric functions, which are functions that relate the angles of a right triangle to the ratios of its sides. The three most commonly used trigonometric functions are

The graphs of these functions are periodic, meaning they repeat themselves over a regular interval.

In the problem, the graph plotted is that of cosine function and the amplitude of is 8

The 5 points marked are

(-π/16, 0) - the first point

(0, 8) - showing the amplitude and 1/4 cycle

(π/16, 0) - 1/2 cycle

(-π/16, -8) - 3/4 cycle

(3π/16, 0) - one complete cycle

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Answer:

E

Step-by-step explanation:

Answer:

a. 26 ft

Step-by-step explanation:

When triangles are similar their sides are proportional

4/8 = h/(44+8)

1/2(52) = h

h = 26

The expected number of defective items and the probability of at least 4 are defective is equal to 3.6 and 0.370 or 37.0%.

Total number of items 'n' = 18

Probability of an item being defective 'p' =20%

                                                                    = 0.2  

Expected number of defective items,

Use the formula for the expected value of a binomial distribution,

E(X) = np

where X is the number of defective items.

Plug in the values we have,

E(X) = 18 x 0.2

      = 3.6

Expect average items out of 18 to be defective = 3.6  .

Probability that at least 4 items are defective,

Calculate the probability of 4, 5, 6, ..., 18 defective items

Use the complement rule to simplify it,

P(at least 4 defective)

= 1 - P(less than 4 defective)

Using the CDF function,

'binomcdf' is the binomial cumulative distribution function.

18 is the number of trials,

0.2 is the probability of success,

And 3 is the maximum number of successes

P(less than 4 defective)

= binomcdf (18, 0.2, 3)

= P(X <= 3)

=\(\sum_{x=0}^{3}\) ¹⁸Cₓ × (0.2)^x × (0.8)^(18-x)

= ¹⁸C₀× (0.2)^0 × (0.8)^(18-0) + ¹⁸C₁× (0.2)^1 × (0.8)^(18-1) + ¹⁸C₂× (0.2)^2 × (0.8)^(18-2) + ¹⁸C₃× (0.2)^3 × (0.8)^(18-3)

= (0.8)^(18) + 18× (0.2) × (0.8)^(17) + 153 × (0.04) × (0.8)^(16) + 1632× (0.008) × (0.8)^(15)

= 0.630

Plug in the values,

P(at least 4 defective)

= 1 - 0.630

= 0.370

Therefore, the expected items to be defective and probability that at least 4 items out of 18 are defective is equal to 3.6 and 0.370 or 37.0%.

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To earn a profit of $10, we need to buy and sell 10 dollars.

The difference between the buying and selling rates is the profit margin for the currency exchange. Here, the profit margin is 116.5 - 115.25 = 1.25 Rs per dollar.

To make a profit of $10, we need to buy and sell enough dollars to earn a profit of 1.25*10 = 12.5 Rs.

Let's assume we buy and sell x dollars. Then the cost of buying x dollars is 115.25x Rs, and the revenue from selling x dollars is 116.5x Rs.

So, the profit from buying and selling x dollars is (116.5x - 115.25x) = 1.25x Rs.

We need to find x such that 1.25x = 12.5, which gives x = 10.

Therefore, we need to buy and sell 10 dollars to earn a profit of $10.

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The slope of the line is 2 and Jan runs 2 laps for every minute.

The slope of the line is defined as the change in the y-coordinate with respect to the x- coordinate and the formula for slope is given by

Where (x₁, y₁) and (x₂, y₂) are points where the line passes through.

Here we have

The graph shows the number of laps that Jan runs  

From the graph,

The line that represents the situation will pass through (2, 4) and (5, 10)

Using the formula, Slope (m) = (y₂ - y₁) / (x₂ - x)  

Slope of the line = [10 - 4]/[5 - 2 ] = 6/3 = 2

This means that Jan runs 2 laps for every 1 minute  

Therefore,

The slope of the line is 2 and Jan runs 2 laps for every minute.

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The right answer is (B), which is $145,000, given that his building property insurance costs $652.50 annually.

In mathematics, interest usually refers to the sum of money that is charged or made over the course of a given period of time on a principal sum of money. In finance and economics, interest—which can be basic or compound—is frequently used to calculate borrowing costs and return on investment. The principal sum, the interest rate, and the duration for which the interest is being charged or earned are the three factors used to compute simple interest.

given

We are informed that Floyd's home is situated in a suburban area, where building property insurance costs $0.45 for every $100 of coverage.

Assume Floyd's home is worth x. Then, the yearly payment for his home's building property insurance is:

0.0045x = $652.50

After finding x, we obtain:

x = $652.50 ÷ 0.0045

x ≈ $145,000

Floyd's home is therefore currently worth about $145,000.

The correct response is (B ) $145,000 as  his building property insurance is $652.50 per year.

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