Find the solution to the system of equations x + y = 9 and x - y = -1.

5) 6 with the exponent.

6 can be with any exponent (since you haven't given it) like, 6¹, 6², 6³, 6⁴ etc. But, since the value is not given..it'll most probably be 6¹.

6) 10 × 10 × 10 = 10³

7) 3 × 3 × 3 × 3 = 3⁴

_____

Hope it helps ⚜

Answer:

$15.69

Step-by-step explanation:

multiply the retail price by 1.06 to get the price after taxes.

find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer

The angle m∠J  in the right angle triangle is 58.1 degrees.

One of the angle of a right tangle triangle is 90 degrees. The sum of

angles in a triangle is 180 degrees.

Therefore, the side length LK can be found using Pythagoras's theorem and the angle can be found using trigonometric ratios.

Hence,

tan ∠J = opposite / adjacent

tan ∠J = 15.1 / 9.4

∠J = tan⁻¹ 1.60638297872

∠J = 58.0909229196

Therefore,

m∠J = 58.1 degrees

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The solution to the given inequality 3 - x ≤ 19

or - x ≥ 24 is x ≥ -16 or x ≤ -24

An inequality is a statement that is of two quantities; one is specifically less than or greater than another. Inequality symbols are:

3 - x ≤ 19

or

- x ≥ 24

3 - x ≤ 19

-x ≤ 19 - 3

- x ≤ 16

divide both sides by -1

x ≤ 16/-1

x ≥ -16

or

- x ≥ 24

x ≥ 24/-1

x ≤ -24

In conclusion, the solution to the inequality is given by x ≥ -16 or x ≤ -24

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Answer:

x = 10

Step-by-step explanation:

2+3+4+5+6 = 20

(20 + x) / 6 = 5

cross-multiply:

20 + x = 30

x = 10

Answer:

x = 10

Step-by-step explanation:

There are 6 numbers in total: 2, 3, 4, 5, 6, and whatever x is. In order for the average to be 5 in this scenario, all numbers must add up to 30, because 30/6 = 5.

2 + 3 + 4 + 5 + 6 = 20. 30-20=10. This means x would need to equal 10.

The function represented by the table is given by the rate of change of

the x and y-values which are constant indicating a  linear function.

Response:

The statement that could be used to justify that the table represents a linear function is as following;

The table of of a linear function is one in which the first difference in

the y-values is constant given that the difference in the x-values are also

constant.

From the table, the first difference between each y-value and the

previous y-value is found as follows;

20 - 35 = -15

5 - 20 = -15

-10 - 5 = -15

While the difference between the corresponding x-values = 1 as follows;

0 - (-1) = 1

1 - 0 = 1

2 - 1 = 1

Therefore;

The (rate of) change in the x and y -values in the table are constant, and

the function is a linear function.

The correct statement is therefore;

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The correct answer is March, as it was the month in which the average number of hours worked by the website designers was closest to 50 hours.

A month is a unit of time typically consisting of 30 or 31 days. It is used for measuring periods of time, for example, when we say something happened "a month ago". Months are used in both the Gregorian calendar and the Julian calendar.

This data was gathered from a survey of website designers, which was conducted to determine the average number of hours each month that these professionals spent working.

In January, the average number of hours worked was 46.5. In February, it was 48.8. However, in March, the average number of hours worked was 49.4, which was the closest to 50 hours. This was followed by April, in which the average was 49.7.

Overall, it can be concluded that March was the month in which the average number of hours worked by website designers was closest to 50 hours. This is important data for website designers, as it allows them to understand the amount of time they should be spending on their work in order to be successful. It also helps employers gauge the workload of their website designers and ensure they are providing an adequate amount of work.

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Answer:

false

Step-by-step explanation:

5-3=2

7(2)=14

14(8)=112

112 does not equal 100-12 which is 88

Answer:

where is the equation please put it

(f/g)(-5) is equal to 1/4, and the value -1 is not in the domain of f/g.

To find (f/g)(-5), we need to substitute -5 into the functions f(x) and g(x) and then divide f(-5) by g(-5).

Given:

f(x) = (4+x)(6+x)

g(x) = 1+x

Substituting -5 into the functions:

f(-5) = (4+(-5))(6+(-5)) = (-1)(1) = -1

g(-5) = 1+(-5) = -4

Now, we can calculate (f/g)(-5):

(f/g)(-5) = f(-5) / g(-5) = -1 / -4 = 1/4

Therefore, (f/g)(-5) equals 1/4.

Now let's determine the values that are not in the domain of f/g. The values that are not in the domain of f/g are the values that make the denominator g(x) equal to zero. In this case, the denominator is g(x) = 1+x.

To find the values that make the denominator zero, we solve the equation:

1 + x = 0

Subtracting 1 from both sides, we get:

x = -1

So, the value x = -1 is not in the domain of f/g because it would make the denominator equal to zero.

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Here we have to find zeroes of the given function.

Let's start solving!

\(f(x) = x ^{3} + 9x ^{2} + 6x - 16\)

\(0 = x ^{3} + 9x ^{2} + 6x - 16\)

\(0 - x ^{3} - 9x ^{2} - 6x + 16 = 0\)

\( - x ^{3} + x ^{2} - 10x ^{2} + 10x - 16x + 16 = 0\)

\( - x ^{2} (x - 1) - 10x(x - 1) - 16(x - 1) = 0\)

\( - (x - 1) \times (x ^{2} + 10x + 16) = 0\)

\( - (x - 1) \times (x ^{2} + 8x + 2x + 16) = 0\)

\( - (x - 1) \times (x \times (x + 8) + 2(x + 8)) = 0\)

\( - (x - 1) \times (x + 8) \times (x + 2) = 0\)

\((x - 1)(x + 8)(x + 2) = 0\)

\(x - 1 = 0 \\ x + 8 = 0 \\ x + 2 = 0\)

\(x = 1 \\ x = - 8 \\ x = - 2\)

\( x_{1} = 8, x_{2} = - 2, x_{3} = 1\)

Answer:

x=6root15

Step-by-step explanation:

24^2-6^2=x^2

x^2=540

x=6root15

Answer:

x=23.2379

Step-by-step explanation:

Answer:

600 000

Step-by-step explanation:

took the same test nav

Answer:

I think that answer is C i believe

Answer:

pppppppppppppppppppppppppppppppppppppppppp

The list that gives the sample space for pulling two slips of paper out of the bucket with replacement is List 4.

Probability is a branch of mathematics that deals with the study of randomness and uncertainty in events. It is the measure of the likelihood or chance that an event will occur. Probability is expressed as a number between 0 and 1, where 0 indicates that the event will not occur and 1 indicates that the event will occur with certainty.

The sample space for pulling two slips of paper out of the bucket with replacement means that after drawing the first slip of paper, it is returned to the bucket before drawing the second slip. This means that each draw is independent of the previous draw, and the possible outcomes of each draw remain the same for all subsequent draws.

The possible outcomes for each draw are {Red, Blue, Yellow}, and there are three possible outcomes for each draw.

Since we are drawing with replacement, each draw has the same possible outcomes and the same number of outcomes. So, the total number of possible outcomes for two draws is simply the number of outcomes for a single draw raised to the power of 2:

\(3^2 = 9\)

Therefore, the list that gives the sample space for pulling two slips of paper out of the bucket with replacement is List 4.

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In the question, we can draw the conclusion that, according to the formula, it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.

A formula is a set of mathematical signs and figures that demonstrate how to solve a problem.

Formulas for calculating the volume of \(3D\) objects and formulas for measuring the perimeter and area of \(2D\) shapes are two examples.

A formula is a fact or a rule in mathematical symbols. In most cases, an equal sign connects two or more values. If you know the value of one, you can use a formula to calculate the value of another quantity.

We need to know the average pace at which they went to figure how long it would take to get from City A to City B at the same rate.

total distance / time taken = average speed

\(415 miles\) per day \(2075/ 5\), it would take them \(10\) days to get from City A to City B because

Time taken = \(2075/415\) per days \(= 5 days\)

Therefore it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.

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After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.

To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.

Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.

Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.

Experimental probability of heads: 160/300 = 0.5333

Experimental probability of tails: 140/300 = 0.4667

Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.

In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.

To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.

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The question probable may be:

Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.

Answer:

-1/3

Step-by-step explanation:

Answer:

Intersecting (fourth answer choice)

Step-by-step explanation:

First, let's convert both lines to slope-intercept form, whose general equation is y = mx + b, where

Converting y - 3x = 4x to slope-intercept form:

(y - 3x = 4x) + 3x

y = 7x

Thus, the slope of this line is 7 and the y-intercept is 0.

Converting 6 - 2y = 8x to slope-intercept form:

(6 - 2y = 8x) - 6

(-2y = 8x - 6) / -2

y = -4x + 3

Thus, the slope of this line is -4 and the y-intercept is 3.

Checking if y = 7x and y = -4x + 3 are perpendicular lines:

We can show this in the following formula:

m2 = -1 / m1, where

Thus, we only have to plug in one of the slopes for m1.  Let's do -4.  

m2 = -1 / -4

m2 = 1/4

Thus, the slopes 7 and -4 are not negative reciprocals of each other so the two lines are not perpendicular.

 Checking if y = 7x and y = -4x + 3 are parallel lines:

The slopes of parallel lines are equal to each other.

Because 7 and -4 are not equal, the two lines are not parallel.

Checking if the lines intersect:

Method to solve the system:  Elimination:

We can multiply the first equation by -1 and keep the second equation the same, which will allow us to:

-1 (y = 7x)

-y = -7x

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

    -y = -7x

+

    y = -4x + 3

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

(0 = -11x + 3) - 3

(-3 = -11x) / 11

3/11 = x

Now we can plug in 3/11 for x in y = 7x to find y:

y = 7(3/11)

y = 21/11

Thus, x = 3/11 and y = 21/11

We can check our answers by plugging in 3/11 for x 21/11 for y in both y = 7x and y = -4x + 3.  If we get the same answer on both sides of the equation for both equations, the lines intersect:

Checking solutions (x = 3/11 and y = 21/11) for y = 7x:

21/11 = 7(3/11)

21/11 = 21/11

Checking solutions (x = 3/11 and y = 21/11) for y = -4x + 3:

21/11 = -4(3/11) + 3

21/11 = -12/11 + (3 * 11/11)

21/11 = -12/11 + 33/11

21/11 = 21/11

Thus, the lines y = 3x = 4x and 6 - 2y = 8x are intersecting lines (the first answer choice).

This also means that lines are not skew since lines had to be neither perpendicular nor parallel nor intersecting to be skew.

Answer:

a) 53.33 miles per hour

b) 1.7 pages per minute

c)2.25 $ per avocado

Step-by-step explanation:

a) 320/6 = 53.33333

b) 68/40 = 1.7

c) 27 /12 = 2.25

Answer:

I would choose D

Step-by-step explanation:

im sorry if im wrong :( im not good at math..

Answer:

x  = 30

Step-by-step explanation:

All the angles on a point add up to 360°. Thus, you can find 2x easily.

2x = 360° - 300°

    = 60

x = 60 ÷ 2

  = 30

Answer:

360-300=60

30

Step-by-step explanation:

All the angles on a point add up to 360°. Thus, you can find 2x easily.

2x = 360° - 300°

   = 60

x = 60 ÷ 2

 = 30

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

(x-1)²+(y-3)²=65

Step-by-step explanation:

the common view of the equation of a circle is:

a) (x-a)²+(y-b)²=r², where (a;b) - the centre of the required circle, r - the radius of the required circle;

b) using the coordinates of the endpoint of the given diameter it is possible to calculate the coordinates of the centre of the required circle and its radius²:

the coordinate x of the required circle is: (9-7)/2=1;

the coordinate y of the required circle is: (2+4)/2=3.

the radius² of the required circle is:

r²=0.25*[(9- -7)²+(2-4)²]=0.25*260=65.

c) after the substitution the values of 'a'; 'b' and 'r²' into the common equation of the circle:

(x-1)²+(y-3)²=65.

PS. additional: the given points (9;2) and (-7;4) belong to the final equation, if to substitute their coordinates into it.

The suggested way of solution is not the only one.