A student is solving the problem |2−9x|=29. They know that one answer can be found by solving the equation 2−9x = 29. They subtract 2 to get −9x=27 and then divide by -9 to get x=−3. They think that this is one answer, and then take the absolute value of this to get their other answer of x=3. Did this student solve this problem correctly? If so, how can you show that they got it correct. If not, what mistake did they make and what should they have done instead?

Answer:

100

Step-by-step explanation:

angles CHF and EHI are congruent angles because CD is a straight line.

Therefore EHI must be 20 degrees.

angles DIG and EIH are congruent angles because CD is a straight line.

Therefore EIH must be 60 degrees.

Now that you know two of the three angles in the triangle HEI,

Total degrees in a triangle - EIH - EHI = HEI

180 - 60 - 20 = 100

Answer:

between one and 6

Step-by-step explanation:

musrbe the answer

Answer:

Just plot one point on (0, 5) and the other one on (6, 8)

Step-by-step explanation:

You just plot (0, 5) then you go 1 up and 8 to the right and plot another point there.

Hope it helps!

y = -4x - 1

the gradient of the parallel line will be the same as the given line so you just need to change the y intercept

Answer:

y=12x+2

Step-by-step explanation:

Answer:

cljbgahkbvjdnm

Step-by-step explanation:

Evaluating the integral over the interval θ = π/8 to θ = 5π/8, we can find the area of the intersection of the regions enclosed by the two graphs.

To find the area of the intersection of the regions enclosed by the graphs of the polar equations r = 3sin(2θ) and r = 3cos(2θ), we need to determine the values of θ where the two curves intersect.

First, let's set the two equations equal to each other:

3sin(2θ) = 3cos(2θ)

Dividing both sides by 3, we have: sin(2θ) = cos(2θ)

Using the identity sin(θ) = cos(π/2 - θ), we can rewrite the equation as:

sin(2θ) = sin(π/2 - 2θ)

For two trigonometric functions to be equal, their arguments must differ by multiples of π. Therefore, we have:

2θ = π/2 - 2θ + nπ, where n is an integer.

Simplifying the equation, we get: 4θ = π/2 + nπ

Solving for θ, we have: θ = (π/8 + nπ/4), where n is an integer.

The values of θ that satisfy the equation are θ = π/8, 5π/8, 9π/8, 13π/8, etc.

To find the area of the intersection, we integrate the difference between the two curves over the interval of θ values that satisfy the equation.

The area is given by: A = 1/2 ∫[(3sin(2θ))^2 - (3cos(2θ))^2] dθ

Evaluating the integral over the interval θ = π/8 to θ = 5π/8, we can find the area of the intersection of the regions enclosed by the two graphs.

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Answer:

Find all real solutions of the equation ( 7 j + 9 ) 2 = 9 . Write your answers as a list of integers or reduced fractions in the form A/B. For example, if your answers are 2/3 and 5, you would enter 2/3,5

Step-by-step explanation:

Given:

In a geometric sequence,

First term = 11

Common ratio = 4

To find:

The function for the geometric sequence.

Solution:

We have,

First term: a = 11

Common ratio: r = 4

We know that, nth term of a geometric sequence is

\(a_n=ar^{n-1}\)

Putting a=11 and r=4, we get

\(a_n=(11)(4)^{n-1}\)

The function notation is

\(f(n)=(11)(4)^{n-1}\)

Therefore, the function for the geometric sequence is \(f(n)=(11)(4)^{n-1}\), where n is a positive integer.

The simplified expression of 17 - 7a + 12a + 6 is 5a + 23.

An algebraic expression is an expression which is made up of variables and constants, along with algebraic operations such as addition, subtraction, division, multiplication etc.

Simplifying expressions mean rewriting the same algebraic expression with no like terms and in a compact form.

Therefore, let's simplify the expression as follows:

17 - 7a + 12a + 6

Hence,

17 - 7a + 12a + 6

let's combine like terms

17 - 7a + 12a + 6

17 + 6 - 7a + 12a

23 + 5a

Therefore, the simplified expression is  5a + 23

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Answer:

5a + 23

Step-by-step explanation:

Now we have to,

→ Simplify the given expression.

The expression is,

→ 17 - 7a + 12a + 6

Let's simplify the expression,

→ 17 - 7a + 12a + 6

→ -7a + 12a + 17 + 6

→ (-7a + 12a) + (17 + 6)

→ (5a) + (23)

→ 5a + 23

Hence, the answer is 5a + 23.

The probability that the two selected chips are of different colors is 15/32

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

Blue = 5

Yellow = 3

This means that

Total = 5 + 3

Total = 8

The probability of different color is then calculated as

P(Different) = Yellow and Blue or Blue and Yellow

So, we have

P = 3/8 * 5/8 * 2

Evaluate

P = 30/64

Simplify

P = 15/32

Hence, the probability is 15/32

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Step-by-step explanation:

I think the answer is 8036

Answer:

d ≈ 9.5

Step-by-step explanation:

Calculate the distance using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (8, 2) and (x₂, y₂ ) = (- 1, 5)

d = \(\sqrt{(-1-8)^2+(5-2)^2}\)

   = \(\sqrt{(-9)^2+3^2}\)

   = \(\sqrt{81+9}\)

    = \(\sqrt{90}\)

    ≈ 9.5 ( to the nearest tenth )

Answer:

28√108

Step-by-step explanation:

4√6 * 7√18

28√108

Thank You

Hope u understand

Please mark as brainliest

Answer: the answer is B: f(x) = –2(x – 5)(x – 1)

Step-by-step explanation: i took the test

Answer:ITS A

Step-by-step explanation:

cuz I got it wrong and it showed me the right answer

The simplification of the expression 4a + 3b - a + 3b + 6 is 3(a + 2b + 2)

Simplify 4a + 3b - a + 3b + 6

collect like terms

= 4a - a + 3b + 3b + 6

= 3a + 6b + 6

factorize

= 3(a + 2b + 2)

side a = 3x - 5

side b = 2x - 1

side c = x + 1

Perimeter = 31 cm

The perimeter of a triangle = side a + side b + side c

31 = (3x - 5) + (2x - 1) + (x + 1)

31 = 3x - 5 + 2x - 1 + x + 1

31 = 6x - 5

Add 5 to both sides

31 + 5 = 6x

36 = 6x

divide both sides by 6

x = 36/6

x = 6

Therefore, the value of x from the perimeter of the triangle is 6

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The given sequence starts with the term f(0) = -5, and each subsequent term is obtained by adding 8 to the previous term. The first five terms of the sequence are -5, 3, 11, 19, and 27.

The sequence is defined recursively, where f(n) represents the nth term of the sequence. According to the given rule, each term is obtained by adding 8 to the previous term, f(n-1).

To find the first five terms of the sequence, we can use the recursive definition. Starting with f(0) = -5, we can calculate each subsequent term:

f(1) = f(0) + 8 = -5 + 8 = 3

f(2) = f(1) + 8 = 3 + 8 = 11

f(3) = f(2) + 8 = 11 + 8 = 19

f(4) = f(3) + 8 = 19 + 8 = 27

Therefore, the first five terms of the sequence are -5, 3, 11, 19, and 27. Each term is obtained by adding 8 to the previous term, resulting in a pattern of increasing values.

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Step-by-step explanation:

what type of help u want......

The natural logarithm is commonly used to approximate growth rates in various fields such as finance, economics, and biology. However, there are potential problems that can arise when using the natural logarithm for this purpose. Some of these problems include:

1. Non-linear growth: The natural logarithm assumes a constant growth rate over time, which may not accurately represent real-world scenarios. In many cases, growth rates may change over time, leading to non-linear patterns that cannot be accurately captured using the natural logarithm.
2. Negative growth rates: The natural logarithm cannot handle negative growth rates. If a variable experiences negative growth, such as a population declining or a stock losing value, the natural logarithm will produce an undefined result. This limitation can hinder the use of the natural logarithm in situations where negative growth rates are present.
3. Sensitivity to small changes: The natural logarithm is highly sensitive to small changes in values. This means that even a slight deviation in the growth rate can result in a significant difference in the calculated approximation. This sensitivity can introduce errors and inaccuracies in the estimation of growth rates.
4. Lack of interpretability: While the natural logarithm provides a mathematical approximation of growth rates, it may not always have a clear interpretation in real-world terms. For example, if the natural logarithm yields a growth rate of 0.05, it may not be immediately obvious what this means in practical terms. This lack of interpretability can make it challenging to communicate and understand the results.

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Answer:

6<X<14

Step-by-step explanation:

The United States will have 16 additional​ shirt(s) after the trade ​(enter a numeric response using an​ integer) and 0 additional​ boot(s). At the same​ time, Canada will be able to consume 14 additional​ shirt(s) as a result of the trade and 0 additional​ boot

With Alaska in the northwest and Hawaii extending the country's reach into the Pacific Ocean, the United States is a confederation of 50 states that encloses a sizable portion of North America. Significant Atlantic Coast cities include Washington, DC, and New York, a centre of international culture and economics. Chicago, a major city in the Midwest, is renowned for its significant architecture, whereas Hollywood, near Los Angeles on the west coast, is renowned for its film production.

If the data are graphed symmetrically, the distribution demonstrates 0% skewness regardless of how long or fat the tails are. When the median of a data set is utilized, 50% of the data points in the collection have values lower than or equal to the median, and 50% of them have values greater than or equal to the median. The middle score in the set is known as the median. The first step in calculating the median is to order the data points from smallest to greatest. The median in an odd-numbered set will be the value that falls exactly in the middle of the list. You must determine the average of the two middle numbers in a set of even numbers. The average is determined by summing up each value individually and dividing that sum by the total number of observations.

The US will consume 16 shirts with trade. (4+12=16 and 16-2=14) The US will have 14 additional shirts.

With commerce, the US will consume 18 boots. 18-18=0

0 additional boots.

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According to the question two dice are tossed. let x be the random variable that shows the maximum of the two tosses are as follows :

a. To find the distribution of x, we need to determine the possible values of x and their corresponding probabilities.

When two dice are tossed, the possible outcomes for each die are numbers from 1 to 6. The maximum value obtained from two tosses can be any number from 1 to 6.

Let's calculate the probabilities for each possible value of x:

P(x = 1) = P(both dice show 1) = (1/6) * (1/6) = 1/36

\

P(x = 2) = P(one die shows 2, the other shows 1 or 2) + P(one die shows 1 or 2, the other shows 2) = 2 * (1/6) * (2/6) = 2/36

P(x = 3) = P(one die shows 3, the other shows 1, 2, or 3) + P(one die shows 1, 2, or 3, the other shows 3) = 2 * (1/6) * (3/6) = 6/36

P(x = 4) = P(one die shows 4, the other shows 1, 2, 3, or 4) + P(one die shows 1, 2, 3, or 4, the other shows 4) = 2 * (1/6) * (4/6) = 8/36

P(x = 5) = P(one die shows 5, the other shows 1, 2, 3, 4, or 5) + P(one die shows 1, 2, 3, 4, or 5, the other shows 5) = 2 * (1/6) * (5/6) = 10/36

P(x = 6) = P(both dice show 6) = (1/6) * (1/6) = 1/36

Therefore, the distribution of x is:

x | 1 | 2 | 3 | 4 | 5 | 6

P(x) | 1/36| 2/36| 6/36| 8/36|10/36| 1/36

b. To find P(x ≤ 3), we sum the probabilities of all values of x less than or equal to 3:

P(x ≤ 3) = P(x = 1) + P(x = 2) + P(x = 3) = 1/36 + 2/36 + 6/36 = 9/36 = 1/4

c. To find the expected value of x (E(x)), we multiply each value of x by its corresponding probability and sum them up:

E(x) = 1*(1/36) + 2*(2/36) + 3*(6/36) + 4*(8/36) + 5*(10/36) + 6*(1/36)

= (1 + 4 + 18 + 32 + 50 + 6)/36

= 111/36

≈ 3.08

Therefore, the expected value of x is approximately 3.08.

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The exponential regression equation for the set of data is given as follows: y = 931.61(1.1)^x.

The number of bacteria after 16 hours is given as follows:

4,281 bacteria.

An exponential function has the definition presented as follows:

y = ab^x.

In which the parameters are given as follows:

For exponential regression, we must insert the points of a data-set into an exponential regression calculator.

The points for this problem are given as follows:

(0, 940), (1, 1034), (2, 1105), (3, 1223), (4, 1352), (5, 1520).

Inserting these points into a calculator, the equation is given as follows:

y = 931.61(1.1)^x.

The number of bacteria after 16 hours is given as follows:

y = 931.61 x (1.1)^16

y = 4,281 bacteria.

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Answer:

I can help, but can you label which is base, height, and length

Step-by-step explanation:

Answer:

x = -2/4 = -1/2

Step-by-step explanation:

The sum of 4 times a number and 5 is 3.

Let sum = +

times = *

is means =

a number = x

So, 4x + 5 = 3.  Then we solve it !

Subtract 5 to both sides to get 4x = - 2.

Next, we divide 4 to both sides to get x = -2/4 = -1/2

Answer:

The number is -8

Step-by-step explanation:

You can set up the question as (x/4)+5 = 3

x/4 = -2

x = -8

Answer:

Each friend is running a half mile.

They are running 1/2 mile.

The operations of addition, subtraction, multiplication, division, exponentiation, and modulus are carried out by the arithmetic operators.

They cover the study of numbers, including the order of operations, which are useful in algebra, data handling, and geometry, among other areas of mathematics.

Given Hotah and his 3 friends are each running 1/4 of a 2-mile relay race

total distance covered by them out of 2 miles is

2 x 1/4 = 1/2 miles

Therefore each person runs at 1/2 a mile.

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Every line on the graph is 1/2 unit.

When y = 0, x would be -0.25 and 1.25

When y = 2, x would be -0.5 and 1.5

The correct line of code that completes this operator which transforms a Point by dx and dy is shown below: Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Note that the function operator+ takes two arguments: an integer dx and an integer dy.

The function returns a point, which is created by adding dx to x and dy to y.The completed code is shown below:class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Therefore, the correct answer is: `Point(x_+dx,y_+dy)`

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