Simplify this expression-
-6(2 + x)

answer: 1

step-by-step explanation:  n + 8 = 9

therefore 9-8 = 1

The solution to the equation n+ 8 = 9 is 1 from the set {0,1,17,72} n = 1 satisfy the provided equation.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a linear function in terms of n:

n + 8 = 9

Subtract 8 both side:

n + 8 – 8 = 9 – 8

n = 1

From the set, we can see the element 1 is the solution to the given equation.

Thus, the solution to the equation n+ 8 = 9 is 1 from the set {0,1,17,72} n = 1 satisfy the provided equation.

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Answer:

x=110

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

45+65 = x

110 =x

Answer:

x = 110

Step-by-step explanation:

the other angle of the triangle is 70

so x= 180-70 x = 110

Answer:

in still water, a boat averages 8 miles per hour. It takes the same amount of time to travel 30 miles downstream, with the current, as 18 miles upstream, against the current. What is the rate of the water's current.

Step-by-step explanation:

Let c=speed of current in mph

c+8=speed of boat downstream in mph

c-8=speed of boat upstream in mph

Travel time= distance/speed

30/8+c=18/8-c

240-30c=144+18c

48c=96

c=2 mph

ans

rate of water's current = 2 mph

Answer:

x = -14

Step-by-step explanation:

The first thing you are trying to do is get the x alone. so first you will look at 10 and do the opposite of the sign that you have. So you would take the -10 and make it +10. you would solve -10 + 10 and 32 + 10 because whatever you do to one side you do to the other. -10 +10= 0 and 32+10 = 42. Your equation now is -3x=42. we do not put -3x+0=42 because zero does not have a value. From here we would look at the -3x and do the opposite sign, which means dividing. whenever a number is next to x or any variable it is multiplication. For example, 7x is the same as 7*x. The opposite of multiplication is division. so we would do -3x/-3. We do 42/-3 because whatever we do to one side we do to the other. On the left side we are left with x then you add the equal sign and the quotient of 42/-3.

Answer: x = -14

The pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.

What is vertical opposite angle ?

When 2 lines meet one another, then the other angles, shaped thanks to intersection ar known as vertical angles or vertically opposite angles. A try of vertically opposite angles ar continuously adequate to one another. Also, a angle and its adjacent angle are supplementary angles, i.e., they add up to a hundred and eighty degrees.

Main body:

1st pair of line intersect each other , so ∠1 = ∠2 by using vertical opposite angle.

2nd pair of line also intersect each other , so ∠3 ,∠4 are adjacent angles.

Hence ,pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.

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Answer:

I assume this is area.

5×7=35

12×9= 108

add 35 and 108 = 143

if this isn't area send a comment and I'll give the answer if it's something different

Answer:

50

Step-by-step explanation:

If R is 65, then T must also be 65 because both of the sides are congruent. 65+65=130 and all angles on a triangle add to 180. Therefore 180-130 is 50

You can use scatter plots to present bivariate data. The data can be used to create coordinate pairs.

The relationship between the two variables in a bivariate data set is graphically represented by a scatter plot. Consider them to be the graphic depiction of two data sets that have been combined by allocating each axis in the plot to a distinct variable.

Due to the presence of two variables, this type of data is known as bivariate data. Only 1 variable may be displayed on a line plot. You can use scatter plots to present bivariate data. The data can be used to create coordinate pairs.

The standard deviation of each variable and the covariance between them must first be determined in order to calculate the Pearson correlation. Covariance is subtracted from the product of the standard deviations of the two variables to get the correlation coefficient.

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Answer:

Yes answer is 8.20

Step-by-step explanation:

mrk as brainliest

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Explanation:

4,987,000 meters = 4,987 kilometers

Divide by 1000 to go from meters to kilometers. This is because 1 km = 1000 m. Or in short, we just chop off those last three zeros at the end.

Also, because 1 mile = 1.609 km (approximate), this means we divide by 1.609 when converting from km to miles

So,

4,987 km = 4987/(1.609) = 3,099.4406 miles approximately

This rounds to 3099 miles

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You can optionally show your work like this:

\(4,987,000 \text{ m} * \frac{1 \text{ km}}{1000 \text{ m}}*\frac{1 \text{ mi}}{1.609 \text{ km}}\\\\ = \frac{4,987,000*1*1}{1000*1.609} \text{ mi} \\\\\approx 3099.4406 \text{ mi}\\\\ \approx \textbf{3099 mi}\)

Notice that the "km" and "m" units cancel out when going from the first step to the second step. All that's left is the "mile" unit.

The given statement is FALSE.

If one or more data items are much greater than the other items, the median, rather than the mean, is more representative of the data.

When one or more data items are much greater than the other items, these extreme values can greatly influence the mean.

When you have a skewed distribution, the median is a better measure of central tendency than the mean

The median and mean can only have one value for a given data set. The mode can have more than one value

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Answer: 5 and 14.

Step-by-step explanation:

We know that the Raiders and Wildcats both scored the same number of points in the first quarter so let a,a+d,a+2d,a+3d be the quarterly scores for the Wildcats. The sum of the Raiders scores is a(1+r+r^{2}+r^{3}) and the sum of the Wildcats scores is 4a+6d. Now we can narrow our search for the values of a,d, and r. Because points are always measured in positive integers, we can conclude that a and d are positive integers. We can also conclude that $r$ is a positive integer by writing down the equation:

a(1+r+r^{2}+r^{3})=4a+6d+1

Now we can start trying out some values of r. We try r=2, which gives

15a=4a+6d+1

11a=6d+1

We need the smallest multiple of 11 (to satisfy the <100 condition) that is 1 (mod 6). We see that this is 55, and therefore a=5 and d=9.

So the Raiders' first two scores were 5 and 10 and the Wildcats' first two scores were 5 and 14.

B.

I think B will make more B make more sense because you say he gets 75 a week.

Answer:

Option D

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are right angled triangle, scalene triangle, equilateral triangle and isosceles triangle.

A right angled triangle is a triangle in which one of the angles is 90°. The side opposite the 90° is known as the hypotenuse while the remaining sides is known as the leg. Let us assume a right triangle with legs of a, b and a hypotenuse of c. Then using Pythagoras theorem:

c² = a² + b²

From the options, option d is the correct option.

For option D, the hypotenuse is c and one leg is a. Let x represent the second leg. Hence:

c² = a² + x²

x² = c² - a²

x = √(c² - a²)

Therefore the other leg would be √(c² - a²)

Thales of Miletus is believed to be the first person who claimed that natural phenomena could be described by mathematics.

Thales of Miletus was a Greek philosopher, mathematician, and astronomer who lived around 624 BCE to 546 BCE. He is widely regarded as one of the Seven Sages of Greece and is known for his contributions to various fields, including geometry, astronomy, and philosophy.

Thales believed that everything in the universe could be explained by natural causes rather than the actions of gods or other supernatural forces. He also believed that these natural phenomena could be described mathematically. For example, Thales was able to predict an eclipse of the sun using his knowledge of geometry and astronomy.

Therefore, Thales of Miletus is often regarded as the first scientist in history because of his emphasis on using reason and evidence to explain the natural world.

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Answer:

problem is x^2 +6=0

Step-by-step explanation:

Answer:

no real solutions

Step-by-step explanation:

Given

x² + 6 = 0 ( subtract 6 from both sides )

x² = - 6 ( take the square root of both sides )

x = ± \(\sqrt{-6}\)

\(\sqrt{-6}\)  has no real solutions

Answer: 2.6 Corresponding angle

Step-by-step explanation:

Greetings from Brasil...

We can use similarity of figures. Note that the problem figure can be divided into 2 similar ones.

Its applicable AA Similarity Criterion

So,

2.2/6.6 = Y/13.2

Answer:

x=60

Step-by-step explanation:

1/5x=12

this is the equation your question isn't quite clear so I'm not sure if you want the equation or the evaluated problem.

(5/1) 1/5x=12 (5)

x=60

I hope this helps :)

Answer:

65

Step-by-step explanation:

First let's multiply both the numerator and denominator by 100 so that the decimal number becomes a whole number.

15.6 * 100 / 0.24 * 100

= 1560 / 24

= 65

Answer: 32 ounces

Step-by-step explanation: 64 divide 2 = 32 ounces

Answer:

The point

Step-by-step explanation:

I hope this helps. Have a good day!

We can use a calculator to evaluate the sum of the logarithms and then exponentiate the result to obtain the number of possible playlists.

To determine the number of possible playlists, we need to calculate the number of permutations of the 15,246 songs taken 150 at a time.

The formula for the number of permutations of n objects taken r at a time is given by:

P(n, r) = n! / (n - r)!

where n! represents the factorial of n.

In this case, we have n = 15,246 (the total number of songs) and r = 150 (the number of songs on the playlist).

Using the formula, we can calculate the number of possible playlists:

P(15,246, 150) = 15,246! / (15,246 - 150)!

Calculating the factorial terms:

15,246! = 15,246 × 15,245 × 15,244 × ... × 15,097 × 15,096 × 15,095!

(15,246 - 150)! = 15,096!

Now we can simplify the expression:

P(15,246, 150) = (15,246 × 15,245 × 15,244 × ... × 15,097 × 15,096 × 15,095!) / 15,096!

A lot of terms will cancel out:

P(15,246, 150) = 15,246 × 15,245 × 15,244 × ... × 15,097

The remaining terms are the number of possible playlists:

P(15,246, 150) = 15,246 × 15,245 × 15,244 × ... × 15,097

Calculating this value may not be feasible due to the large number of terms involved. However, we can use the logarithmic property to estimate the number of possible playlists:

log(P(15,246, 150)) = log(15,246) + log(15,245) + log(15,244) + ... + log(15,097)

Using logarithms, we can perform the calculation more easily:

log(P(15,246, 150)) ≈ log(15,246) + log(15,245) + log(15,244) + ... + log(15,097)

Finally, we can use a calculator to evaluate the sum of the logarithms and then exponentiate the result to obtain the number of possible playlists.

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150 songs chosen from a collection of 15,246 songs might be used to make about 4.528 × 10¹⁶ different playlists.

To calculate the number of possible playlists, we need to find the number of permutations of 150 songs selected from a collection of 15,246 songs.

The formula to calculate permutations is:

\(\begin{equation}P(n, r) = \frac{n!}{(n - r)!}\)

Where:

n is the total number of songs (15,246)

r is the number of songs in the playlist (150)

Using this formula, the number of possible playlists can be calculated as:

\(P(15,246, 150) = \dfrac{15246!}{(15246-150)!}\)

Calculating this directly would involve very large numbers, so it's more practical to use logarithms to approximate the value.

Using the natural logarithm (ln), we can simplify the calculation as follows:

ln(P(15,246, 150)) = ln(15,246!) - ln((15,246 - 150)!)

Now we can calculate the approximate value using the logarithms:

ln(P(15,246, 150)) ≈ 34,012.2242 - 33,973.8287

ln(P(15,246, 150)) ≈ 38.3955

Finally, we can obtain the actual value by taking the exponential of both sides:

\(\[P(15,246, 150) \approx e^{38.3955}\]\)

P(15,246, 150) ≈ 4.528 x 10¹⁶

Therefore, you could create approximately 4.528 x 10¹⁶ possible playlists with 150 songs selected from a collection of 15,246 songs.

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Answer:

Not enough info

Step-by-step explanation:

Not enough info sry

Answer:

C

Step-by-step explanation:

Domain is what x values are allowed in a function

At the end of the eighth week, there will be 51,200 ants in the colony.

To determine the number of ants in the colony at the end of the eighth week, we need to consider that the number of ants doubles each week. Starting with 400 ants, we can calculate the number of ants at the end of each week using exponential growth.

Week 1: 400 ants

Week 2: 400 * 2 = 800 ants

Week 3: 800 * 2 = 1600 ants

Week 4: 1600 * 2 = 3200 ants

Week 5: 3200 * 2 = 6400 ants

Week 6: 6400 * 2 = 12800 ants

Week 7: 12800 * 2 = 25600 ants

Week 8: 25600 * 2 = 51200 ants

It's important to note that this calculation assumes ideal conditions of exponential growth and does not account for any factors that could limit or affect the ant population in real-life situations. Additionally, the actual growth of an ant colony may be influenced by various factors, such as resource availability, competition, and external threats.

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