If f(x) = 2x + 7 and g(x) = 3x - 6, then what is (f + g)(x)?

Applying the tangent ratio, the value of x in the image, rounded to the nearest thousandth is: 15.824.

The tangent ratio, commonly referred to as "tangent," is a trigonometric function that relates the ratio of the length of the side opposite an angle to the length of the side adjacent to that angle in a right triangle. It is expressed as:

tan (∅) = opposite/adjacent

We have the following:

Reference angle (∅) = 53 degrees

Length of opposite side = 21

Length of adjacent side = x

Plug in the values:

tan 53 = 21/x

x * tan 53 = 21

x = 21 / tan 53

x = 15.824

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Answer:

The \(n^{th}\) sequence aₙ = -15 +5n

The fifth term of the sequence

a₅ = 10

Step-by-step explanation:

Step(i):-

Given sequence

           -10,-5,0,5,10,15,20,.....

The first term = -10

The difference of two terms in the given sequence is equal

d = -5-(-10) = -5 + 10 = 5

d = 0 -(-5) = 5

The given sequence is in arithmetic progression

Step(ii):-

The \(n^{th}\) sequence

\(a_{n} = a+(n-1) d\)

aₙ = -10 +(n-1) 5

aₙ = -10 + 5n -5

aₙ = -15 +5n

Step(iii):-

The \(n^{th}\) sequence aₙ = -15 +5n

put n = 5

a₅ = -15 + 5(5) = -15 +25 = 10

Final answer:-

The \(n^{th}\) sequence aₙ = -15 +5n

The fifth term of the sequence

a₅ = 10

Answer:

The sequence starts with -10, and the index starts at 1. So, the index of -10 is 1.

n = 5 refers to the fifth term of the sequence, which is 10.

Step-by-step explanation:

Plato Answer

Mean and IQR (Interquartile Range) give the best tools for measuring the center and spread. So, the correct option is C.

The mean is a measure of central tendency that is calculated by adding up all the values in a dataset and dividing by the number of values. The mean is sensitive to extreme values, also known as outliers, and can be affected by skewed data.

The IQR is a measure of spread that gives the range of the middle 50% of the data. It is calculated by finding the difference between the 75th percentile (Q3) and the 25th percentile (Q1) of the data. The IQR is less sensitive to outliers than the standard deviation, which is a measure of spread that gives the average distance of the data points from the mean.

The median is a measure of central tendency that is the middle value in a dataset when the values are arranged in order. It is less sensitive to extreme values than the mean and is useful when the data is skewed.

While mean and standard deviation are commonly used measures of center and spread, they may not be appropriate for all datasets, especially those that are skewed or contain outliers. Therefore, mean and IQR are often preferred for summarizing the center and spread of such data.

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Huda's error in evaluating (3) squared incorrectly led to the incorrect final result.

The correct answer should be -20, not 34.

Huda's error was that she evaluated (3) squared incorrectly.

Instead of calculating 3 squared as 9, she mistakenly considered it as 3. This error led to incorrect subsequent calculations and the final result of 34, which is not the correct answer.

To evaluate the expression correctly, let's go through the steps:

Negative 3 (8 minus 5) squared minus (negative 7) \(= -3(3)^2 - (-7)\)

First, we simplify the expression within the parentheses:

\(-3(3)^2 - (-7) = -3(9) - (-7)\)

Next, we evaluate the exponent:

-3(9) - (-7) = -3(9) + 7

Now, we perform the multiplication and addition/subtraction:

-3(9) + 7 = -27 + 7 = -20

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Answer:

0.75

Step-by-step explanation:

45 divided by 60 = 0.75 so, the answer is 0.75

The calculated value of the probability of B is (c) 0.25

From the question, we have the following parameters that can be used in our computation:

P(A or B) = 0.3

P(A and B) = 0.2

P(A/B) =0.8

First, we have

P(A/B) = P(A and B)/P(B)

Substitute the known values in the above equation, so, we have the following representation

0.2/P(B) = 0.8

So, we have

P(B) = 0.2/0.8

Evaluate

P(B) = 0.25

Hence, the probability of B is 0.25

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Answer: you need to add

Step-by-step explanation: I would ask your teacher to help you understand the lesson.  

Answer:

Step-by-step explanation:Combine like terms:

2p+3p+5=6p+9

5p+5=6p+9

5p+5=6p+9

     5         9

5p=6p+4

5p=6p+4

6p       6p

p=-4

Answer:

Step-by-step explanation:] Answer would be 400%

New value - Original Cost

         Original value

= 20 - 4/4

= 16/4

= 4 x 100

= 400%

The two numbers are 6 and 20 respectively.

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given is that one number is 10 less than 5 times the second number. Their sum is 26.

Let the numbers be [x] and [y] repsectively. Then, we can write that -

x + y = 26        ..... Eq[1]

x = 5y - 10        ..... Eq[2]

We can write -

x + y = 26

5y - 10 + y = 26

6y = 36

y = 6

Then, we can write [x] as -

x = 5 x 6 - 10 = 30 - 10 = 20

x = 20

Therefore, the two numbers are 6 and 20 respectively.

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Answer:x=-4

Step-by-step explanation:

Answer:

D) 8\(\frac{1}{2}\)

Step-by-step explanation:
5\(\frac{2}{3}\) ÷ \(\frac{2}{3}\) = 8\(\frac{1}{2}\)

The length of AC is 12.5 and the length of AD is 3.

A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is the sum of its internal angles to 180 degrees

Given triangle ABC,

and D is a point on AB and E is a point on AC,

and forms a triangle ADE,

and  DE is parallel to AC,

taking ΔABC and ΔBDE

∠B = ∠B  (common angle)

because DE is parallel to AC, so corresponding angles are equal,

so ∠A = ∠D

and ∠C = ∠E

ΔABC ≈ ΔBDE (triangles are similar)

since both triangles are similar the ratio of their corresponding sides is equal,

AB/BD = AC/DE = BC/BE

given BD = 2, BE = 4, DE = 5 and EC = 6

BC = EC + BE = 4 + 6

BC = 10

AC/DE = BC/BE

AC = 5(10/4)

AC = 12.5

and AB/BD = BC/BE

AB = 2(10/4)

AB = 5

AD = AB - BD

AD = 5 - 2

AD = 3

Hence AC = 12.5 and AD = 3.

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The figure is in image.

The equation to represent the orbit of Pluto around the Sun will be x²/4659.42 + y²/4566.31 = 1.

The distance from the center of the elliptical orbit to the sun is 897.5 million miles. The aphelion will be:

= 5448.5 + 897.5

= 6346 million miles

The equation of ellipse will be:

x²/a² + y²/b² = 1

x²/4659.42 + y²/4566.31 = 1

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Answer:

Graph on a coordinate plane or explain how to graph: x  = 5

Step-by-step explanation:

The statement which best describes the data given is C) The data can be modeled by a quadratic function.

Given a data,

The numbers of customers that visited a store each hour for several hours after the store opened at 8 am are shown in the table.

It is clear that the number of customers increases to 18 for the first 4 hours and then decreases to 0 after 9 hours.

So this data cannot be modeled by a linear function or an exponential function.

Also since the number of customers arriving is not constant, this cannot be expressed as constant function.

So it is quadratic function.

Hence the correct option is c.

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Answer:

28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Gabi has 20

Lauren has 20 * 1 2/5

20*1 2/5 = 20*7/5 = 28

Answer:

0.607, 6.07, 60.7, 607

Step-by-step explanation:

Answer:

Yes because putting value of x and y as 1 and -1 in equation :

y=3x-4

-1 = 3 * 1 - 4

-1 = -1 (True)

f Step-by-step explanatin

so you add the thing and you add this thing

stu   pid     i d i o t

Answer:

21 yd^2 (you can remove the ^2 if you want)

Step-by-step explanation:

1/3 =0.33333333333 so 2.33333333333x9=21

The correct inequalities in this problem are given as follows:

A. 7.5 > 5.7.

B. 5.7 > -7.5.

C. -7.5 < -5.7.

The four inequalities symbols are given as follows:

In item a, the numbers 7.5 and 5.7 are compared, and in fact, 7.5 is greater than 5.7, hence the inequality is correct.

In item b, the numbers -7.5 and 5.7 are compared, and in fact, 5.7 is greater than -7.5, hence the inequality is correct. This is because a positive number is always greater than a negative numbers, as it is always positioned to the right on the number line.

For negative numbers, the lower absolute values mean that the number is greater, hence -7.5 is less than -5.7, that is, -5.7 is greater than -7.5, meaning that statement C is also correct.

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Answer: 7

Step-by-step explanation:

Since there are 42 tubes and each tray can hold 6 tubes, it will be 42/6 which is 7.

Ok, seriously, if you're in college and asking this you're seriously not smart.

Everytime Amber goes running she runs 1 mile.

She runs 4 times each week. How many miles does she run in one week.

Number of mile(s) ran in one session =  1 mile.

Number of running sessions in a single week = 4

Total distance covered = 1 x 4 = 4 miles.

Answer:

D

Step-by-step explanation:

You want to make sure your coefficients in the first equation are 0.25 and 0.05 and add up to the total price. (3.65)

You want to make sure you have an equation that models the amount of coins, which was said to be 20 coins.

Answer:

80%

Step-by-step explanation:

100/5*4

Answer:

simon does not need more time than phil

Answer:

State C : $30.9 Million       State D : $25.7 Million

Step-by-step explanation:

It may help to just forget about the word "million" and focus on the decimal number part,so one you get the deciaml number you can just put the word million after it as your answer.

First do 56.6 divided by 2, which equals 28.3. Since it said that State C spends 2.6 million more, you hvae to add 28.3 and 2.6 together, which also equals 30.9. So now you know State C spends $30.9 million total. In order to find out how much money State D sends, you have to do 56.6 - 30.9,which comes up to 25.7. So finnaly you know that State C spends 30.9 million dollars and State D spends 25.7 million dollars.