To which subset of the real number system does the number LaTeX: 1.\overline{5}1. 5 ¯ belong? Group of answer choices irrational numbers whole numbers natural numbers rational numbers

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Answer:

Quadrant 2

Step-by-step explanation:

The slope which shows  the cost per guest is $35 per guest

The given cost for 50 guests is $2150.

The cost for 75 guests is $3025.

It can also be represented as:

(Guest, Cost) =(50, $2150) & (75, $3025)

The slope can now be calculated as

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (50, $2150) & (75, $3025)

Substituting the given values in the equation as follows:

Slope = (3025 - 2150)/(75 - 50)

Slope = 35

Hence, the slope is $35 per guest.

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Answer:

10.7

Step-by-step explanation:

Since this is a right triangle, we can use trig functions to calculate the hypotenuse.

We know the opposite side from the angle labeled 59 degrees.

sin 59 = opp side / hypotenuse

sin 59 = 9.2/x

x = 9.2/ sin 59

x = 10.733

Answer:

\(\left(\dfrac{2}{5}\right)^{14}\\\\\)

also equal to

\(\dfrac{2^{14}}{5^{14}}\)

Step-by-step explanation:

We have to determine

\(\left[\left(\dfrac {2}{5}\right)^4 \times \left(\dfrac {2}{5}\right)^3\right]^2\)

When two exponents with the same base are multiplied, the resultant is the base raised to the sum of the exponents

\(\textrm{Thus $x^a \cdot x^b = x^{a + b}$}\\\\In the above expression the base $\dfrac{2}{5}$ is common :\\\\Therefore\left(\dfrac{2}{5}\right)^4 \times \left(\dfrac{2}{5}\right)^3= \left(\dfrac{2}{5}\right)^{4 + 3}\\= \left(\dfrac{2}{5}\right)^7\\\\\)

When we have an exponential term raised to another exponent, the exponents are multiplied:

\((x^a)^b = x^{a\cdot b}\)

Therefore:
\(\left[\left(\dfrac{2}{5}\right)^7\right]^2 = \left(\dfrac{2}{5}\right)^{7 \cdot 2} \\\\\\= \left(\dfrac{2}{5}\right)^{14}\\\\\)

We can also write this as:
\(\dfrac{2^{14}}{5^{14}}\)

since

\(\left(\dfrac{x}{y}\right)^a = \dfrac{x^a}{y^a}\\\)

Not sure which form you want it. I am giving both

x= -1/2 is the answer to your question. Mark as brainliest!!!!

Answer:

3×91+×=27

273+×=27

×=27-273

×= -246

Answer: x=−246

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The required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

Given the diagram of the hanger which one side has 10 + 5x  and other side has 11.

To find the equation, equate the expression of one side to the numerical value of the other side. On solving the equation gives the value of x.

Thus, the equation is 10 + 5x = 11.

Consider the equation 10 + 5x = 11

On subtracting 10 from each side gives,

5x = 1

Divide each side by 5 gives,

x = 1/5.

Hence,  the required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

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Answer:

5+5+9+9 = 28 cm

Step-by-step explanation:

to determine perimeter add the length of each side (2 sides = 5cm and two sides = 9cm.)

The sum of the geometric sequence in this problem is given as follows:

5.77.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.

The first term, the common ratio and the number of terms for this problem are given as follows:

\(a_1 = 10, q = -\frac{2}{3}, k = 8\)

The formula for the sum of the first n terms is given as follows:

\(S_n = a_1\frac{1 - r^n}{1 - r}\)

Hence the sum for this problem is given as follows:

\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)

\(S_8 = 5.77\)

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Answer:

DDDDDDDDDDDD

Step-by-step explanation:

i did the last unit test review. i got it from quizlet

Answer: D 16

Step-by-step explanation:

Answer:

123.8

Step-by-step explanation:

nearest tenth is 7 and the sixes aftr it are over half of a full decimal, so they round to 123.8

Answer:

the correct answer is c

Step-by-step explanation:

a = k/m    or       ma = k    

using 4 and 9     4* 9 = k = 36

then the equation becomes:

    ma = 36    

  using a = 6

      6 * m = 36     shows m = 6 kg

The range of the function on the graph would be: D. all real numbers greater than or equal to 2

To obtain the range, observe the y values whose result can be obtained by the function of x. To obtain this range, we examine the graph and note that the range begins from 2 on the y-axis and extends upwards.

So, if we wish to define our range, we will enter all real numbers that are equal to or greater than 2 as seen in the direction of the graph.

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Answer:

502

Step-by-step explanation:

100 * 5 + 2 = 505

Answer:

To find the 100th term of the sequence, we need to use the recursive rule and iterate it 99 times, since we are starting at the first term and need to get to the 100th term.

The recursive rule is given as 5, which means each term in the sequence is equal to the previous term times 5. Therefore:

The first term is 2.

The second term is 2 * 5 = 10.

The third term is 10 * 5 = 50.

The fourth term is 50 * 5 = 250.

And so on...

Iterating this rule 99 times gives us:

The 100th term is 2 * 5^99, which is approximately equal to 6.33825300114 × 10^66.

Therefore, the 100th term of the sequence starting with 2 and with a recursive rule of 5 is approximately 6.33825300114 × 10^66.

This table illustrates how many trials out of 100 resulted in each number of heads out of ten flips. Because it precisely depicts the possibility of each occurrence, this frequency table is the most likely to include the outcomes of the 100 trials.

The likelihood of receiving any number of heads out of ten flips is the same in a fair coin flip, therefore the table should show a fairly uniform distribution of trials across each number of heads. Overall, the frequency table most likely to capture the outcomes of the 100 trials has the number of heads out of 10 flips as rows and the number of trials out of 100 as columns.

This table may be used to precisely depict the data as well as determine the likelihood of each occurrence.

what is meant by frequancy table?

A frequency table is a way to organize and summarize data in a systematic way. It lists all of the different values (or categories) that appear in a dataset, along with the number of times each value appears. The goal of creating a frequency table is to get a better understanding of the data by seeing how frequently different values occur.

For example, let's say you have a dataset that contains the ages of a group of people. You could create a frequency table to see how many people are in each age range. The table might look something like this:

Age Range Frequency

0-9         5

10-19 8

20-29 12

30-39 10

40-49 7

50-59 4

60-69 3

70-79 2

80-89 1

90+ 1

In this frequency table, you can see that the most common age range is 20-29, with 12 people in that range. You can also see that there are very few people over the age of 80. This type of table can be helpful for understanding the distribution of values in a dataset and identifying patterns or trends.

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The absolute value function that matches the graph is given as follows:

y = -|x + 1| + 1.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex in this problem are given as follows:

(-1, 1).

Hence:

y = a|x + 1| + 1.

The function is reflected over the x-axis with a slope of -1, hence the leading coefficient a is given as follows:

a = -1.

Thus the function is:

y = -|x + 1| + 1.

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There is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

To determine whether there is enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes, we can conduct a one-sample t-test with the following hypotheses:

Null hypothesis: The true mean time in changing a muffler is equal to 13 minutes.

Alternative hypothesis: The true mean time in changing a muffler is less than 13 minutes.

Use the formula to calculate the test statistic,

\(t = \dfrac{(x - \mu)} { \dfrac{s} { \sqrt{n}}}\)

where x is the sample mean, μ is the hypothesized population mean (13 minutes), s is the sample standard deviation, and n is the sample size (6).

Plugging in the numbers, we get:

t = (12.3 - 13) / (2.3 / √6) = -0.72

Using a t-distribution table with 5 degrees of freedom (n - 1), we find that the critical value for a one-tailed test with α = 0.05 is -2.571. Since our calculated t-value (-0.72) is greater than the critical value, we fail to reject the null hypothesis.

Therefore, there is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

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Answer:

Final mixture is 120 gm

x = 10%      then   (120-x) = 25%

.25(120-x)    + .1 (x)    =  .15 (120)       solve for x= 10% amount

                                                                 then  25% amount = 120-x

Step-by-step explanation:

As per the given graph, the rational function that is graphed in the given image is option B: F(x) = x(x+3)(x-3) / (x-3)(x+3) as per the factors.

Based on the graph, we can see that the function has vertical asymptotes at x = -3 and x = 3.

Option A has only one factor of (x+3) and one factor of (x-3), so it would have only one vertical asymptote at x = 3 or x = -3, but not both.

Option B has two factors of (x-3) and two factors of (x+3), so it has two vertical asymptotes at x = 3 and x = -3, which matches the graph.

Option C has only one factor of (x-3) and no factor of (x+3), so it would have only one vertical asymptote at x = 3 or x = -3, but not both.

Option D has only one factor of (x+3) and no factor of (x-3), so it would have only one vertical asymptote at x = -3 or x = 3, but not both.

Therefore, the rational function that is graphed in the given image is option B: F(x) = x(x+3)(x-3) / (x-3)(x+3).

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Answer:

90????

Step-by-step explanation:

is this a tongue twister or what??

Answer:

9 laps takes 5 minutes 25 seconds.

Step-by-step explanation:

Here is given:

4 laps takes 6 minutes 12 seconds.

We have to find how long 1 lap takes.

4/4 6/4 12/4 --> 1 lap takes 2 minutes 33 seconds.

Now, multiply each by 9 because you want to find 9 laps, so:

1x9 2x9 33x9 --> 9 laps takes 5 minutes 25 seconds.

Hope this helps :)

A form possesses rotational symmetry, often referred to as radial symmetry, when it maintains its appearance following a partial turn rotation. The right answer is D.

A form possesses rotational symmetry, often referred to as radial symmetry, when it maintains its appearance following a partial turn rotation.

The number of alternative orientations in which an object can seem exactly the same for each revolution is the degree of rotational symmetry of that object.

Because of rotational symmetry, the figure should maintain its original appearance  even when rotated. So a rhombus is the shape that exhibits rotational symmetry. So, D is the right answer.

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Problem 5

Domain = \(-4 \le x \le 3\)

This is because the smallest x value allowed is x = -4 as shown by the left-most point. The right most point has x coordinate x = 3, so this is the largest value in the domain.

The domain in interval notation is [-4, 3]. The square brackets include the endpoint.

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

Range = \(-4 \le y \le 5\)

We're now looking at the possible y values. The lowest point happens when y = -4 and the highest point is when y = 5. We can have any y value between those endpoints.

The range in interval notation is [-4, 5]

=============================================================

Problem 6

Domain = \(-2 \le x < 2\)

Same idea as the previous problem. This time the left most point has x = -2 and the right most point has x coordinate x = 2.

The big difference here is that the open hole says to not include the endpoint. The domain in interval notation is [-2, 2) where we use a parenthesis to not include the endpoint.

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

Range = \(-4 \le y < 4\)

The smallest possible y value is y = -4. The ceiling for the y values is y = 4, but we can't actually reach this value due to the open hole.

The range in interval notation is [-4, 4)

=============================================================

Problem 7

Domain = \(-4 < x \le 2\)

Same idea as earlier. Now the open hole is at the left endpoint. The right most point occurs not at an endpoint this time.

The domain in interval notation is (-4, 2]

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

Range: \(-4 < y < 4\)

Both endpoints are open holes, so we exclude both endpoints.

The range in interval notation is (-4, 4). Unfortunately in this case, interval notation looks identical to ordered pair notation.

=============================================================

Problem 8

Domain = \(-5 < x < 3\)

Domain in interval notation = (-5, 3)

The graph is too blurry to be able to determine the range.

If we use the 1.5 * IQR rule to see if there are any outliers, the correct boundary is 43 days.

To use the 1.5 * IQR rule to determine whether there are any outliers in this data set, we need to first calculate the IQR. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1).

IQR = Q3 - Q1

= 28 - 18

= 10

Next, we can calculate the boundaries for potential outliers:

Lower boundary = Q1 - 1.5 * IQR

= 18 - 1.5 * 10

= 3

Upper boundary = Q3 + 1.5 * IQR

= 28 + 1.5 * 10

= 43

Since the maximum value in the data set is 56, there are no outliers above the upper boundary. Therefore, the right boundary is 43 days.

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Answer: it is D

Step-by-step explanation:

Answer:

-43

Step-by-step explanation:

Well we would do -28+15 since the temp is getting colder. The answer would be -43.

Hope this helps, BadAtMath99

Step by step explanation: -28-15

When adding negative with positive it will always be negative so for this question, subtract -28 with 15 which would be -43. So -43 would be the temperature in the evening.

Answer:

D) 0.72

Step-by-step explanation:

I took the test .

Answer: its (D) 0.72

Step-by-step explanation:

Basically, the ones who shopped with a shopping list and bought only the expected items is 0.43 and row totals is 0.60. So what you do here is either calculate on your own or a easy option, you can just go on the internet, ( 0.43 out of 0.60  or  43 out of 60 ) and there will be answer 0.716666667  and then you just round it, like the question asked you and get 0.72