evaluate abc² if a= -3, b= 6, and c= -8​

Hey there!

Functions are basically like machines you put a number into and they give you a new one as an output. This f represents this machine. f(x) represents whatever the output is because it is the x after it has gone through the function machine.

We want to figure out what x is when f(x)=12. Well, we can simply replace f(x) with 12 in the first equation and solve for x!

12=-16x+8

We flip the equation so x is on the left side.

-16x+8=12

We subtract 8 from both sides.

-16x=4

We divide both sides by -16.

x=-1/4

Have a wonderful day! :D

Answer:

f(x) = -16x + 8

F(x) = 12

=> f(12) = -16x + 8

=> 12-8 = -16x + 8 - 8

=> 4 = 16x

=> 4/16 = 16x/16

=> 1/4 = x

So, the answer is 1/4.

You can just keep 0 as the whole number to answer this question.

5)

we need first to calculate the radius of the circumference, this is the distance between the center to any point of the circumference, then the radius will be:

then the circumference equation is:

The coordinates of point C must be (-4, 0), which is our answer.

To find the coordinates of point C, we need to use the ratio given to us and the concept of collinear points.

First, let's find the coordinates of the point that divides the line segment OP into the ratio 3:5. We can use the formula for finding a point on a line segment:

(x, y) = [(5 * x2 + 3 * x1) / 8, (5 * y2 + 3 * y1) / 8]

Where (x1, y1) is the coordinate of one endpoint (in this case O), (x2, y2) is the coordinate of the other endpoint (in this case P), and the ratio 3:5 is expressed as 3 parts for x2 and y2 and 5 parts for x1 and y1.

Substituting the given coordinates, we get:

(x, y) = [(5 * (-2) + 3 * (-10)) / 8, (5 * 8 + 3 * (-8)) / 8]
      = [-4, 0]

So the coordinates of the point that divides the line segment OP into the ratio 3:5 are (-4, 0).

Since O, C, and P are collinear, point C must also lie on the line segment OP. Therefore, the coordinates of point C must be (-4, 0), which is our answer.

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Answer:

D:  x = -4

Step-by-step explanation:

Given equation:

(2x - 10)(3x + 12) = 0

Therefore:

⇒ 2x - 10 = 0

⇒ 2x = 10

⇒ x = 5

And:

⇒ 3x + 12 = 0

⇒ 3x = -12

⇒ x = -4

So the possible solutions of the equation are x = 5 or x = -4

Answer:

D: r = -4

Explanation:

\(\rightarrow \sf (2x-10)(3x+12)=0\)

set to zero

\(\rightarrow \sf 2x-10=0, \:3x+12=0\)

change sides

\(\rightarrow \sf 2x=10, \:3x=-12\)

simplify

\(\sf \rightarrow x=5,\:x=-4\)

Sherry's commitment and love for reading allowed her to embark on a literary adventure that spanned two days. From the initial taste of 1/3 to the final bite of the remaining line 2/3, she had read the entire book, savoring every word and getting lost in the magic of storytelling.

Sherry's reading adventure began with her diving into a book, eager to explore its contents. She managed to devour a portion of the book, specifically 1/3 of it, before feeling the sweet embrace of sleep and deciding to call it a night.

The following day arrived, and Sherry's desire to unravel the remaining mysteries of the book was still burning bright within her. Determined to quench her thirst for knowledge, she dedicated herself to reading the rest of the book. With focused determination, she turned page after page, immersing herself in the story's captivating world.

As the hours ticked by, Sherry felt the satisfaction of progress. With each passing chapter, she could sense herself inching closer to the climax and resolution of the story. The characters became like old friends, and the plot twists kept her on the edge of her seat.

Finally, as the sun dipped below the horizon, Sherry turned the last page and completed the final chapter. She had done it. She had finished reading the entire book. The sense of accomplishment washed over her, accompanied by a bittersweet feeling that the journey had come to an end.

Reflecting on her reading experience, Sherry realized that she had initially read 1/3 of the book before retiring for the night. That meant there were still 2/3 of the book left for her to discover on the subsequent day. And indeed, she did just that. She dedicated her time and energy to devouring the remaining 2/3 of the book, leaving no page unturned.

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Answer:   " 42 r ³ "

_______

Step-by-step explanation:

Given:  " (6r²) (7r) ";  Simplify the expression:
        →  (6r²) (7r)  ;

                       =  6 * r² * 7 * r ;  
       Now; rearrange to write the "like terms" in close proximity— starting with the numbers:
                       =  6 * 7 * r² * r ;
                      =   (6 * 7) * (r² * r) ;

                       =   (42) *  (r² * r) ;  {Note that: " r = r¹ " } ;                                

                       =  (42) *  (r² * r¹)

              Note: " r² * r¹  = r ⁽² ⁺ ¹⁾ = r³ ";

              Note the addition property of exponents:
                    " xᵃ * xᵇ  =  x⁽ᵃ ⁺ ᵇ ⁾ ";

 Now, note that we can rewrite the simplified expression; which is:
                      →   " 42 r ³ " ;  which is our answer.
____
Hope this is helpful to you!

  Best wishes!

____
               

Answer:

6 x 2 =12

Step-by-step explanation:

or it could be 6 + 6=12

Answer:

I am not good at this but a good app for math is Math

way

~Hope this helps!!Stay safe~

Answer:

g(4) = 5

Step-by-step explanation:

Substitute 4 for each occurrence of x in the given function:

g(4) = 2(4) - 3 = 8 - 3 = 5

g(4) = 5

The probability that a poisonous mushroom in the forest is red is 50%.

To find the probability that a poisonous mushroom in the forest is red, we need to consider the probabilities of a mushroom being red and poisonous, and compare it to the overall probability of a mushroom being poisonous.

Let's denote the events as follows:

R: Mushroom is red

P: Mushroom is poisonous

P(R) = 20% = 0.20 (probability of a mushroom being red)

P(P|R) = 20% = 0.20 (probability of a red mushroom being poisonous)

P(P|not R) = 5% = 0.05 (probability of a non-red mushroom being poisonous)

We want to calculate:

P(R|P) = ? (probability that a poisonous mushroom is red)

We can use Bayes' theorem to calculate this probability:

P(R|P) = (P(P|R) * P(R)) / P(P)

To calculate P(P), the overall probability of a mushroom being poisonous, we can use the law of total probability:

P(P) = P(P|R) * P(R) + P(P|not R) * P(not R)

P(not R) = 1 - P(R) = 1 - 0.20 = 0.80 (probability of a mushroom not being red)

Now, we can calculate P(P):

P(P) = P(P|R) * P(R) + P(P|not R) * P(not R)

      = 0.20 * 0.20 + 0.05 * 0.80

      = 0.04 + 0.04

      = 0.08

Finally, we can calculate P(R|P) using Bayes' theorem:

P(R|P) = (P(P|R) * P(R)) / P(P)

      = (0.20 * 0.20) / 0.08

      = 0.04 / 0.08

      = 0.50

Therefore, the probability that a poisonous mushroom in the forest is red is 50%.

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Answer:

10000000.9

Step-by-step explanation:

c. None of these. is the correct option. None of the options provided (a, b, c, d, or e) accurately represent Ayla's taxable income based on the information given.

Based on the information provided, Ayla's taxable income can be calculated by adding her interest income from the bank savings account ($2,000) and her income from the part-time job ($4,200).
Therefore, Ayla's taxable income is $6,200.
However, since she is claimed as a dependent by her parents, her taxable income may be subject to different rules and deductions. It would be best to consult a tax professional or refer to the specific tax laws in your jurisdiction to determine the exact amount of Ayla's taxable income.
Therefore, none of the options provided (a, b, c, d, or e) accurately represent Ayla's taxable income based on the information given.

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Answer: I'm 90% sure that the S inside the angle is spatial points

The full Definition of the symbol combination is approximately equal to Spatial points?

Step-by-step explanation:

I searched s inside angle symbol and these are my results. "The angle symbol is a mathematical symbol that is placed ahead of character s, usually uppercase italic letters representing spatial points, to describe a geometric angle formed by the intersection of two lines, line segments, or rays."   I'm sorry if I'm wrong.

The final velocity of the jet flying in the north direction after accelerating for 15s is 473 m/s.

When observed from a specific point of view and as measured by a specific unit of time, velocity is the direction at which an item is moving and serves as a measure of the pace at which its position is changing. How quickly or slowly an object is travelling can be determined by its velocity and speed. Being a vector quantity, we need to define velocity in terms of both magnitude (speed) and direction. A body is considered to be accelerating if the magnitude or direction of its velocity changes.

Given,

The initial velocity u = 200 m/s

Acceleration of jet a = 18.2 m/s²

Time taken t = 15s

We are asked to find the final velocity v of the jet.

W can use the following formula to find the final velocity.

v = u+ at

  = 200 + (18.2) × 15

 = 473 m/s (north)

Therefore the final velocity of the jet flying in the north direction after accelerating for 15s is 473 m/s.

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Answer:

35

Step-by-step explanation:

9^2 is 81, and  then 81-46 is 35.

The answer is 35.

Hope this helps plz mark brainliest:D

Answer:

32?

Step-by-step explanation:

hope this helps!!!!!!!

-BB

Answer:

\(\angle N\cong \angle Z\)

Step-by-step explanation:

Given:

In ΔLMN and ΔXYZ, \(MN=3\,,\,LN=2\,,\,YZ=9\,,\,XZ=6\)

To find: criteria that needs to be shown to prove ΔLMN \(\sim\) ΔXYZ using SAS similarity theorem

Solution:

According to SAS Similarity Theorem, if two sides in one triangle are proportional to two sides in another triangle and the included angle between the sides are congruent, then the two triangles are said to be similar.

In ΔLMN and ΔXYZ,

\(\frac{LN}{XZ}=\frac{2}{6}=\frac{1}{3}\\\frac{MN}{YZ}=\frac{3}{9}=\frac{1}{3}\\\therefore \frac{LN}{XZ}=\frac{MN}{YZ}\)

So, ΔLMN \(\sim\) ΔXYZ by SAS similarity theorem if \(\angle N\cong \angle Z\)

For both triangles to be proven to be similar by the SAS similarity theorem, the additional information needed to be shown is a pair of congruent included angles, which is: a. ∠N ≅ ∠Z

The SAS Similarity Theorem states that two triangles are similar to each other if they have two pairs of corresponding sides that are proportional to each other and a pair included angles that are congruent.

△LMN and △XYZ have:

two pairs of corresponding sides that are proportional (YZ/MN = XZ/LN = 3)

Therefore, for both triangles to be proven to be similar by the SAS similarity theorem, the additional information needed to be shown is a pair of congruent included angles, which is: a. ∠N ≅ ∠Z

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Answer on pic above

Hope this helps

Answer:

7

Step-by-step explanation:

Answer:

the original price was $13

Step-by-step explanation:

hope this helps!

Answer: $16

Step-by-step explanation:

Since there is a 30% discount, that means that $11.20 is 100% - 30% = 70%

The original price would be 100/70 times more than the sale price (100% for original, 70% for discount)

11.20*100/70 = $16

The shaded area should be adjusted to reflect the new producer surplus for Micronesian firms, which will be larger than it was before trade due to higher price they can receive by exporting their timber to world market.

The measure of the size of a two-dimensional surface or shape is area. It is typically measured in square units, such as square meters or square feet, and represents the amount of space that is enclosed by the shape or surface.

To shift the world price line in a way that results in Micronesia exporting timber, we need to assume that the world price of timber is higher than the domestic price in Micronesia before trade. This would create an incentive for Micronesian firms to sell their timber on the world market, where they can receive a higher price.

Shift the world price line upward to a point where it intersects with Micronesia's supply curve.

This will create a new equilibrium point where the quantity of timber supplied by Micronesia equals the quantity demanded by the world market.

To adjust the shaded area to correctly represent producer surplus for Micronesia's firms once the country is open to international trade, we need to consider the changes in producer surplus resulting from the new equilibrium price.

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The population means may be the same

So, option D is correct.

What is meant by confidence interval?

In statistics, the probability that a population parameter will fall between a set of values a predefined percentage of the time is known as the confidence interval. Analysts typically use confidence intervals that cover 95% or 99% of the expected observations while assessing data. In frequentist statistics, an estimation range for an unknown parameter is referred to as a confidence interval. The most common confidence level for computing confidence intervals is 95%, however other levels, such 90% or 99%, are also occasionally employed. The conclusion is reached that the result is statistically significant if the confidence interval eliminates the value of zero effect.

If (μ₁- μ₂=0) is included in the confidence interval, that means this two means have the same difference that is zero.

Therefore, they may be nearly same,

So, The population means may be the same

Hence, option D is correct.

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a) The 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).

b) The 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).

To calculate the confidence intervals for the population proportion, we can use the formula:

Confidence Interval = sample proportion ± margin of error

The margin of error can be calculated using the formula:

Margin of Error = critical value * standard error

where the critical value is determined based on the desired confidence level and the standard error is calculated as:

Standard Error = \(\sqrt{((p * (1 - p)) / n)}\)

Given that the sample proportion (p) is 0.81 and the sample size (n) is 500, we can calculate the confidence intervals.

a. 90% Confidence Interval:

To find the critical value for a 90% confidence interval, we need to determine the z-score associated with the desired confidence level. The z-score can be found using a standard normal distribution table or calculator. For a 90% confidence level, the critical value is approximately 1.645.

Margin of Error = \(1.645 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)

≈ 0.0323

Confidence Interval = 0.81 ± 0.0323

≈ (0.7777, 0.8423)

Therefore, the 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).

b. 95% Confidence Interval:

For a 95% confidence level, the critical value is approximately 1.96.

Margin of Error = \(1.96 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)

≈ 0.0363

Confidence Interval = 0.81 ± 0.0363

≈ (0.7737, 0.8463)

Thus, the 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).

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Answer:

In 2022 the population will be 78196

Step-by-step explanation:

Nf - number of foxes = ?
No - number of foxes in 2000 = 21700
p - growth rate = 6%
n - numebr of years = 22

\(N_{f}=N_{o} * (1+\frac{p}{100})^{n}\)

\(N_{f}=21700 * (1+\frac{6}{100})^{22}\)

\(N_{f} = 78196 foxes\)

For the given figure, where m and nare relatively prime positive integers. The value of m+n is 32.

The law of cosines, also known as the law of cosines, relates all three sides of a triangle to one angle of the triangle. Most useful for searching for missing information in triangles. For example, if you know all three sides of a triangle, you can use the law of cosines to find the measure of the angle. Similarly, if you know two sides and the angle between them, you can find the length of the third side by the law of cosines.

Let X be the intersection of the circles with centers B and E, and Y be the intersection of the circles with centers C and E.

Since the radius of B is 3, AX = 4.

Assume AE = p.

Then EX and EY are radii of circle E and have length 4 + p.

AC = 8, and ∠CAE = 60° because we are given that triangle T is equilateral.

Using the Law of Cosines on Δ CAE, we obtain

(6+p)² =p² + 64 - 2(8)(p) cos 60

The 2 and the cos 60 terms cancel out:

p² + 12p + 36 = p² + 64 - 8p

12p+ 36 = 64 - 8p

p = 28/20

= 7/5

The radius of circle E is 4 + (7/5)

= 27/5,

So, the answer is 27 + 5 = 32

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Answer:

12

Step-by-step explanation:

He would have to work 12 weekends at $25. 25x11+220=$520

Answer: 15

Step-by-step explanation: have a great day!

The Logarithmic function is a mathematical operation that is used to determine the logarithm of a number.

The logarithm of a number x is the exponent to which a fixed number, the base, must be raised to produce x. The most common bases used are 10 and e. The formula for determining the logarithm of a number x base d is: log base d of x = (log base d of x)/(log base d of b).

For example, if we want to calculate the log base 10 of a number x, we would use the formula: log base 10 of x = (log base 10 of x)/(log base 10 of b). We can calculate the log base 10 of a number x by taking the logarithm of x and dividing it by the logarithm of the base, 10. The result will be the log base 10 of x.

For example, if we want to calculate the log base 10 of 25, we would calculate the logarithm of 25 and divide it by the logarithm of 10. The calculation would be: log base 10 of 25 = (log base 10 of 25)/(log base 10 of 10) = (1.3979)/(1) = 1.3979. This means that the log base 10 of 25 is 1.3979.

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Answer:

you would put a solid circle on the 3 and go to the left, for example:

Step-by-step explanation:

You would want the variable to be on the left, so you would need to see that the 3 is bigger or equal to a.