5x-9=2x+12
can somebody answer this and if possible, can you show work?​

Answer:

  2

Step-by-step explanation:

You want the slope of segment DC given points A, B, C, D are collinear and the rise between B and A is 2 units, while the run is 1 unit.

The slope of a line is the same everywhere on the line. It is the same for segment DC as for segment BA on the same line.

  slope = rise/run = 2/1 = 2

The slope of DC is 2.

<95141404393>

        Thanks for reposting the pertinent question:

        Therefore the SLOPE of DC:

         DC  =   2

        POINTS:  D, C, B, and A  are COLLINEAR

       SLOPE of:  DC  is  Equal (=)  To the SLOPE  of: AB

       AB  =   2/1   =  2

       Therefore the SLOPE of DC:

       DC  =   2

I hope this helps you!

The equation of the asymptote is: Growth; y = 0

The equation of the function is given as: f(x) = 12(2)^x.

Next, we plot the graph of the function f(x) = 12(2)^x

See attachment for the graph of the function f(x) = 12(2)^x

From the attached graph, we can see that the values of the graph increases as x increases.

This represents a function growth

To do this, we set the rate to 0

So, we have

y = 12 * 0

Evaluate

y = 0

Hence, the equation of the asymptote is y = 0

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Answer:

A. No, because (-1) and (-1, -2) have the same input value.

Step-by-step explanation:

So what exactly is a function? It's very similar to a relation where there is input and for each input we have some output and sometimes multiple. The difference is in a function there is only one output for each input. Now the outputs of two different inputs can be the same, such that the input 2 and 3 will both output 4 or any value, but we cannot have an input such as 2 outputting 3 and 4 since we can only have one output for each input.

In the table given, the input "-1" outputs "2" and -2" which means the table  does not represent a function.

This makes "A" the correct answer to whether it's a function or not and explanation.

The surface area of the wooden structure is approximately 1012 cm².

To calculate the surface area of the wooden structure, we need to find the surface area of the cone and the surface area of the hemispherical base, and then add them together.

Surface Area of the Cone:

The surface area of a cone is given by the formula:

A_{cone = \(\pi \times r_{cone} \times (r_{cone} + s_{cone})\), \(r_{cone\) is the radius of the base of the cone and \(s_{cone\) is the slant height of the cone.

The vertical height of the cone is 24 cm, and the base radius is 7 cm, we can calculate the slant height using the Pythagorean theorem:

\(s_{cone\) = \(\sqrt{(r_{cone}^2 + h_{cone}^2).\)

Using the given measurements:

\(s_{cone\) = √(7² + 24²) cm

\(s_{cone\) ≈ √(49 + 576) cm

\(s_{cone\) ≈ √625 cm

\(s_{cone\) ≈ 25 cm

Now, we can calculate the surface area of the cone:

\(A_{cone\) = π × 7 cm × (7 cm + 25 cm)

\(A_{cone\) = (22/7) × 7 cm × 32 cm

\(A_{cone\) = 704 cm²

Surface Area of the Hemispherical Base:

The surface area of a hemisphere is given by the formula:

\(A_{hemisphere\) = \(2 \times \pi \times r_{base}^2\), \(r_{base\) is the radius of the base of the hemisphere.

Given that the base radius is 7 cm, we can calculate the surface area of the hemispherical base:

\(A_{hemisphere\) = 2 × (22/7) × (7 cm)²

\(A_{hemisphere\) = (22/7) × 2 × 49 cm²

\(A_{hemisphere\) = 308 cm²

Total Surface Area:

To calculate the total surface area, we add the surface area of the cone and the surface area of the hemispherical base:

Total Surface Area = \(A_{cone} + A_{hemisphere}\)

Total Surface Area = 704 cm² + 308 cm²

Total Surface Area = 1012 cm²

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Answer:

Step-by-step explanation:

In this question, we need to use the formula of means to solve the. We can set the number of beads Rajiv brings as X, and use the formula of mean to get the total number of beads that the Four(4) children have and the total number of beads that the Five(5) children have.

Four(4) children each have some beads, the mean number of beads is: 8

        4 * 8 = 32

We set the number of beads Rajiv brings as:

x, so the total number of beads that the Five(5) children have is:

32  +  x

The mean number of the Five(5) children is now: 9

      5  *  9   =  45

     32 +  x    =    45

      x  +  32  =    45

           -  32  =   -32

       x            =     13

By solving the above equation, you can get:

x  =  13

       13

Hope this helps!

The principal when making the first payment 51 months later on a private student loan with a principal of $10,000 and a rate of 12.59% would be $15,307.13.

To calculate the principal when making the first payment 51 months later on a private student loan with a principal of $10,000 and a rate of 12.59%, we first need to calculate the amount of interest that has accrued over the 51 months.

Using the formula:

Interest = Principal x Rate x Time

where Principal = $10,000,

Rate = 12.59% per year,

Time = 51/12 years (since the interest is compounded monthly):

Interest = $10,000 x 0.1259 x (51/12)

= $5,307.13

So the total amount owed after 51 months would be:

Total amount owed = Principal + Interest

= $10,000 + $5,307.13

= $15,307.13

Therefore, the principal when making the first payment 51 months later on a private student loan with a principal of $10,000 and a rate of 12.59% would be $15,307.13.

As for recent examples of community change that involves a clash between different cultures that helped disadvantaged communities and the populations, one example is the Black Lives Matter movement, which has brought attention to systemic racism and police brutality in the United States.  Another example is the #MeToo movement, which has raised awareness about sexual harassment and assault and has led to changes in workplace policies and cultural attitudes toward these issues.

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Answer:

-7.225 according to a calculator.

Answer:

the answer is letter E.

see the attachment.

The type of sytudy that we have here is the observational study.

In an observational study, the researcher observes and analyzes data from individuals without actively intervening or manipulating any variables.

In this case, the researcher is observing and comparing the health outcomes of two groups of individuals: those who have eaten a vegan diet for the past five years and those who have not.

The participants are not randomly assigned to the groups, and the researcher does not actively control or manipulate the diet of the individuals.

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Answer:

300

Step-by-step explanation:

4:7

7-4=3

225/3=75

75x4=300

Answer:

x = - \(\frac{3}{4}\) , x = 1

Step-by-step explanation:

4x² = x + 3 ← subtract x + 3 from both sides

4x² - x - 3 = 0 ← in standard form

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 4 × - 3 = - 12 and sum = - 1

the factors are - 4 and + 3

use these factors to split the x- term

4x² - 4x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )

4x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(4x + 3) = 0 ← in factored form

equate each factor to zero and solve for x

4x + 3 = 0 ( subtract 3 from each side )

4x = - 3 ( divide both sides by 4 )

x = - \(\frac{3}{4}\)

x - 1 = 0 ( add 1 to both sides )

x = 1

solutions are x = - \(\frac{3}{4}\) , x = 1

Answer:

Choose any two numbers from 82 to 99.

Step-by-step explanation:

The square of 9 is 81, since 9 × 9 = 81.

The square of 10 is 100, since 10 × 10 = 100.

Choose any two numbers from 82 to 99; their square roots must, therefore, fall between 9 and 10.

Answer:

Step-by-step explanation:

x+9

Let x, be 4

4+9=13

given condition,

x+9<4x

4+9<4(4)

13<16

The answer is:

Work/explanation:

Our inequality is:

\(\sf{x+9 < 4x}\)

Flip it

\(\sf{4x > x+9}\)

Solve

\(\sf{4x-x > 9}\)

Combine like terms

\(\sf{3x > 9}\)

Divide each side by 3

\(\sf{x > 3}\)

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:

A. Area - space inside a figure perimeter - distance around figure

Step-by-step explanation:

I calculated it logically

Answer:

Below

Step-by-step explanation:

245.8 = .872 x      where x is the theoretic airflow

245.8 / .872 = x = 281.9 cfm

Answer:

20

Step-by-step explanation:

Answer:

Option C.

Step-by-step explanation:

The given expression is  

\(\sqrt{128x^8y^3z^9}\)

It can be written as

\(\sqrt{(64\cdot 2)\cdot x^8\cdot y^{2+1}\cdot z^{8+1}}\)

\(=\sqrt{8^2\cdot 2\cdot (x^4)^2\cdot y^{2}\cdot y\cdot (z^{4})^2\cdot z}\)

\(=\sqrt{(8x^4yz^4)^2\cdot 2yz}\)

\(=8x^4yz^4\sqrt{2yz}\)

Therefore, the correct option is C.

Answer:

c

Step-by-step explanation:

Answer:

x=122

Step-by-step explanation:

Answer:

 =6mx^4−7x^4

Step-by-step explanation:

(6m−7)(x^4)

=(6m+−7)(x^4)

=(6m)(x^4)+(−7)(x^4)

\(\huge\text{Hey there!}\)

\(\mathsf{(6m - 7)\times4}\)

\(\mathsf{= (6m - 7)(4)}\)

\(\mathsf{= (6m - 7) 4}\)

\(\mathsf{= 4(6m - 7)}\)

\(\mathsf{= 4(6m) - 4(-7)}\)

\(\mathsf{= 6m(4) + (-7)(4)}\)

\(\mathsf{= 6m(4) - 7(4)}\)

\(\mathsf{= 6m - 28}\)

\(\huge\textbf{Therefore, your answer should be:}\)

\(\huge\boxed{\frak{24m - 28}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

42

Step-by-step explanation:

Rectangle: A = 6 x 5 = 30

Triangle: A = 1/2(6 x 4) = 12

Area of figure: 30 + 12 = 42

Answer:

take a photo of the question so I can answer it please

Answer:

72 x 2 = 144

144/12 = 12

x = 12

Step-by-step explanation:

Working backwards, we know A = b*h/2

First we multiply 72 * 2, to get b*h

now we divide that by 12, the base

Then we get the hieght, 12

Case 1: a = 0; b = 0 --> Real Number

Case 2: a = 0; b ≠ 0 --> Non-Real Complex Number

Case 3: a ≠ 0; b = 0 --> Real Number

Case 4: a ≠ 0; b ≠ 0 --> Non-Real Complex Number

For each case, we can determine whether the expression a + bi represents a real number or a non-real complex number based on the values of a and b.

Case 1: a = 0; b = 0

In this case, both a and b are zero. The expression a + bi simplifies to 0 + 0i, which is equal to 0. Therefore, the expression represents a real number.

Case 2: a = 0; b ≠ 0

Here, a is zero, but b is nonzero. The expression a + bi becomes 0 + bi, where b is a nonzero real number multiplied by the imaginary unit i. Since the expression contains a nonzero imaginary part, it represents a non-real complex number.

Case 3: a ≠ 0; b = 0

In this case, a is nonzero, but b is zero. The expression a + bi simplifies to a + 0i, which is equal to a. As there is no imaginary part in the expression, it represents a real number.

Case 4: a ≠ 0; b ≠ 0

Here, both a and b are nonzero. The expression a + bi contains both a real part (a) and an imaginary part (bi). Thus, it represents a non-real complex number.

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Answer:

2

Step-by-step explanation:

6x2=12

6z=12=2

12/2=6

Answer:

a term

Step-by-step explanation:

Answer:

3.6miles

Step-by-step explanation:

Given:

distance of tent from the closest point on shore-line, d=3miles.

distance between shoreline point and coral reef, x=2miles

The shortest distance (say l) that the visitor runs towards the reef in order to swim a minimum distance which takes least time.

\(\therefore l^2=d^2+x^2\\l=\sqrt{3^2+3^2} \\l=3.6\ miles\)

Now on reaching at the shore at this point the visitor will have to swim the least distance due east to reach coral reef.

Answer:

B. 5 + 2(3 + 2x) = x + 3(x + 1)

Step-by-step explanation:

5 + 6 + 4x = x + 3x + 3

11 + 4x = 4x + 3

4x - 4x = 3 - 11

0 = - 8

There are no solutions.

Answer:

A

4(x+3)+2x=6(x+2)

4x+12+2x=6x+12

6x+12=6x+12

6x-6x=12-12

0=0

Answer: the answer is 90

Step-by-step explanation:There is only one number between 61 and 107 that is a multiple of 3, 5 and 9. So that number will be  90.

The larger the sample size, the smaller the SEM, and the more precise our estimates of the population mean become. However, it is important to note that the SEM only reflects the amount of error due to chance factors, and does not account for any bias or systematic error in the sampling process.

The standard deviation of the distribution of the sample means (sampling distribution) for all possible samples of size 81 that could be drawn from the parent population is known as the standard error of the mean (SEM). The SEM is calculated by dividing the population standard deviation by the square root of the sample size. Therefore, if the population standard deviation is known, we can calculate the SEM by dividing it by the square root of 81. If the population standard deviation is unknown, we can estimate it using the sample standard deviation.
The SEM represents the amount of variability in the sample means that we would expect to see if we repeatedly drew samples of size 81 from the same population. In other words, the SEM tells us how much error we would expect to see in our sample means due to chance factors alone.
The SEM is an important measure in inferential statistics because it helps us to calculate confidence intervals and to perform hypothesis tests. In general, the larger the sample size, the smaller the SEM, and the more precise our estimates of the population mean become. However, it is important to note that the SEM only reflects the amount of error due to chance factors, and does not account for any bias or systematic error in the sampling process.

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