which is equivalent to (-2x^3y^5)^2

Which Is Equivalent To (-2x^3y^5)^2

Answers

Answer 1

Answer:

[tex]4x^{6} y^{10}[/tex]  A.


Related Questions

What are the x- and y- coordinates of point p on the directed line segment from k to j such that p is three-fifths the length of the line segment from k to j? x = (startfraction m over m n endfraction) (x 2 minus x 1) x 1 y = (startfraction m over m n endfraction) (y 2 minus y 1) y 1 (40, 96) (85, 105) (80, 104) (96, 72)

Answers

The coordinate of P is (A) ( 40, 96).

What are coordinates?Coordinates are two integers (Cartesian coordinates) or a letter and a number that point to a specific place on a grid known as a coordinate plane. A coordinate plane has four quadrants and two axes: x (horizontal) and y (vertical) (vertical).

To find What are the x- and y- coordinates of point p on the directed line segment from K to J:

It can be seen from the figure the coordinates of K and J:

K ( 160 ,120) and J (-40 , 80)

The coordinates of P can be determined as:

[tex]x=\frac{m}{m+n} (x_{2}-x_{1})+x_{1} } \\y=\frac{m}{m+n} (y_{2}-y_{1})+y_{1} } \\[/tex]

So, as the P point divides the line into three-fifths of the length,

KP = (3/5)KJ  JP = (2/5) KJ

Which gives the ratio as 3: 2.

m:n = 3:2

x = (3/5) (-40 -160) + (160)x = 40y = ( 3/5)(-40) +120y = 96

Therefore, the coordinate of P is (A) ( 40, 96).

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The complete question is shown below:

What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J?

x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1

y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1

(A) (40, 96)

(B) (85, 105)

(C) (80, 104)

(D) (96, 72)

pls help summer hw hurts my brain

Answers

Answer:

1. (3, 1)
2. (4, 4)
3. No solution

Hope this helps!

Answer:

1) (3,1)

2) (4,1)

3) No solution

Step-by-step explanation:

The solution is point where the graphs cross.  It is a little hard to see the pictures, but I think that I have the right ordered pairs.  The ordered pairs are in the order (x,y).  The x tells you how far (in these cases), the point is right of the origin (0,0 the middle of the whole graph).  The y tells us (in these cases) how high the point is from the origin (0,0).

The last answer has no solution because the lines are parallel and they do not cross.

15 points please help me ASAP

Answers

The distance between the means is equal to 4. The mean absolute deviation (MAD) for player A is equal to 2.The mean absolute deviation (MAD) for player B is equal to 2.Distance between the means = two (2) times the MAD.There is some overlap and the distance between the means is between 1 times the MAD and 5 times the MAD.

What is a number line?

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.

What is a line plot?

A line plot can be defined as a type of graph that is used to graphically represent a data set above a number line, while using crosses, dots, or any other mathematical symbol.

What is a mean?

A mean is also referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the distance between the means of both players A and B is given by:

Distance = Mean of player B - Mean of player A

Distance = 10 - 6

Distance = 4.

The mean absolute deviation (MAD) for player A is given by:

MAD A = 1/11[2(3 - 6) + 2(4 - 6) + (5 - 6) + (6 - 6) + (7 - 6) + 2(8 - 6) + 2(9 - 6)]

MAD A = 1/11[2(3) + 2(2) + (1) + (0) + (1) + 2(2) + 2(3)]

MAD A = 1/11[6 + 4 + 1 + 0 + 1 + 4 + 6]

MAD A = 1/11 × [22]

MAD A = 22/11

MAD A = 2.

Also, the mean absolute deviation (MAD) for player B is given by:

MAD B = 1/11[2(7 - 10) + 2(8 - 10) + (9 - 10) + (10 - 10) + (11 - 10) + 2(12 - 10) + 2(13 - 10)]

MAD B = 1/11[2(3) + 2(2) + (1) + (0) + (1) + 2(2) + 2(3)]

MAD B = 1/11[6 + 4 + 1 + 0 + 1 + 4 + 6]

MAD B = 1/11 × [22]

MAD B = 22/11

MAD B = 2.

Therefore, distance between the means = two (2) times the MAD.

Distance = Means × MAD

4 = 2 × 2.

In conclusion, we can infer and logically deduce that there is some overlap and the distance between the means of both players A and B is between one (1) times the MAD and five (5) times the MAD.

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3. What are the solutions to the system of equations graphed below?

Answers

Answer:

(-1, 5) and (3, -3)

Step-by-step explanation:

The solutions are all the points where the two functions intersect. Since the lines intersect at two different points, there are two solutions.

The two points at which the functions appear to intersect are (-1, 5) and (3, -3).

The rock does 1,000 bicep curl-ups on monday.on tuesday he does 30% more bicep curl-ups. on wednesday he does 45% more. how many more bicep curl-ups does he do on wednesday compared to monday

Answers

Answer:

either 885 more or 450 more

Step-by-step explanation:

Monday: 1000

Tuesday: 1000*1.3 = 1300

Wednesday:

I'm assuming 45% more from tuesday?

          1300*1.45 = 1885

or if not:

          1000*1.45 = 1450

either 885 more or 450 more

you can also just do 1000*1.3*1.45 = 1000*1.885 = 1885 if thats what the question means

Using data from a study, we find a significant difference in the proportion of fruit flies surviving after 13 days between those eating organic potatoes and those eating conventional (not organic) potatoes. This exercise asks you to conduct a hypothesis test using additional data from this study.1 In this case, we are testing
H0:po=pcHa:po>pc
where po and pc represent the proportion of fruit flies alive at the end of the given time frame of those eating organic food and those eating conventional food, respectively. We have n1=n2=500. Show all remaining details in the test, using a 5% significance level.
Effect of Organic Raisins After 15 Days
After 15 days, 320 of the 500 fruit flies eating organic raisins are still alive, while 300 of the 500 eating conventional raisins are still alive.
Give the test statistic and the p-value.
Round your answers to three decimal places.
What is the conclusion?
Do we have evidence that the proportion surviving after eating organic is higher?

Answers

The hypothesis shows that we have evidence that the proportion surviving after eating organic is higher.

How to illustrate the information?

The following can be deduced from the information:

x1 = 275

x2 = 170

n1 = 500

n2 = 500

The sample proportion will be:

p1 = 275/500 = 0.55

p2 = 170/500 = 0.34

The pooled proportion will be:

= (275 + 170)/(500 + 500)

= 0.44

The test statistic is 6.681. It should be noted that the test statistics is a number that's calculated by a statistical test. It shows how the observed data are far from the null hypothesis.

The p value in this scenario is extremely small. The p value is a measurement used to validate a hypothesis against the observed data. Therefore, we have to reject the null hypothesis.

In this case, the hypothesis shows that we have evidence that the proportion surviving after eating organic is higher.

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[THESE ARE NOT THE RIGHT ANSWERS I JUST GUESSED]
Consider the graph of function f.
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OA.
-2
OB.
6+
4
2
2
S
Which is the graph of the function g(x) = f(-x)?
9
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6
44
2
y
2
4
6
y
6
-
40
X
IN
on
4
X

Answers

The parent function of the function represented in the table is exponential.

Note if you subtract 10 from each output, you get [tex]f(x)=3^x[/tex].

If function f was translated down 4 units, the f(x) values would be decreased by 4.

See attached image.

A point on the table for the transformed function would be (4, 87).

[tex]f(4)-4=87[/tex]

Using the hsd test, if there are 16 df associated with mswithin, and α=0. 05 and the number of groups = 3, qcrit = _________

Answers

Using the hsd test qcrit = 3.65  

HSD testis used to check differences among sample way for significance. The Tukey's HSD assessments all pairwise variations at the same time as controlling the probability of making one or greater type I errors.

A Tukey-Kramer test lets us check the null speculation of no distinction between the population approach for all pairs of businesses. The Tukey-Kramer check (also known as a Tukey sincere importance test, or Tukey HSD), is carried out in R inside the function.

solution

given;

   using HSD test, the degree of freedom = 16

                                                         and α=0. 05

                                                         groups = 3

                         Hence,                    Qcrit = 3.65    {using HSD table}

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Question 1 (essay worth 4 points) (h2.02 mc) the cost of attending an amusement park is $15 for children and $40 for adults. on a particular day, the attendance at the amusement park is 5,000 attendees, and the total money earned by the park is $100,000. use the given matrix equation to solve for the number of children’s tickets sold. explain the steps that you took to solve this problem. a matrix with 2 rows and 2 columns, where row 1 is 1 and 1 and row 2 is 15 and 40, is multiplied by matrix with 2 rows and 1 column, where row 1 is c and row 2 is a, equals a matrix with 2 rows and 1 column, where row 1 is 5,000 and row 2 is 100,000.

Answers

Using a system of equations, it is found that there were 4,000 children tickets sold.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given by:

Variable x: Number of children tickets sold.Variable y: Number of adult tickets sold.

The attendance at the amusement park is 5,000 attendees, hence:

x + y = 5000 -> y = 5000 - x.

Considering the cost of parking and that the total money earned by the park is $100,000, we have that:

15x + 40y = 100000

Applying the multiplication of the matrices, these equations are the same that the system gives. Replacing the second equation into the first:

15x + 40(5000 - x) = 100000

25x = 100000

x = 100000/25

x = 4000.

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Please do it fast as possible

Answers

The factors of the given expression is (4m/n + 5m/n)(5m/n-6n/m).

The given expression is 20m²/n²- 30n²/m² +1.

We need to factorise the given expression.

How to factorise the trinomial?

To factor, a trinomial in the form x²+ bx + c, find two integers, r and s, whose product is c and whose sum is b.

Rewrite the trinomial as x²+ rx + sx + c and then use grouping and the distributive property to factor the polynomial. The resulting factors will be (x + r) and (x + s).

Now, we can rewrite 20m²/n² +1 - 30n²/m² as 20m²/n² +25mn/mn- 24mn/mn- 30n²/m².

=(20m²/n² +25mn/mn)- (24mn/mn- 30n²/m²)

=5m/n(4m/n + 5m/n)-6n/m(4m/n+5n/m)

=(4m/n + 5m/n)(5m/n-6n/m)

Therefore, the factors of the given expression is (4m/n + 5m/n)(5m/n-6n/m).

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Solve 2(1 - x) > 2x

Answers

Answer:

x < 1/2

Step-by-step explanation:

2(1-x) > 2x

2-2x > 2x

2 > 4x

1/2 > x

Answer:

x<1/2

Step By Step Explanation

Let's solve your inequality step-by-step.

2(1−x)>2x

Step 1: Simplify both sides of the inequality.

−2x+2>2x

Step 2: Subtract 2x from both sides.

−2x+2−2x>2x−2x

−4x+2>0

Step 3: Subtract 2 from both sides.

−4x+2−2>0−2

−4x>−2

Step 4: Divide both sides by -4.

-4x/2>-2/4

x<1/2

The scores of students on a standardized test are normally distributed with a mean of 300 and a standard deviation of 40. (a) what proportion of scores lie between 220 and 380 points?

Answers

0.9544 = 95.44% of scores lie between 220 and 380 points.

Normal distribution problems can be solved using the Z-score formula.

With a set of means and standard deviations, the Z-score for measure X is given by: After finding the Z-score, look at the Z-score table to find the p-value associated with that Z-score. This p-value is the probability that the value of the measure is less than X. H. Percentile of X. Subtract 1 from the p-value to get the probability that the value of the measure is greater than X.

[tex]z = \frac{x - \mu}{\sigma} \,[/tex]

We are given mean 300, standard deviation 40.

This means that µ= 300, σ = 40

What proportion of scores lie between 220 and 380 points?

This is the p-value of Z when X = 380 subtracted by the p-value of Z when X = 220.

X = 380

[tex]z = \frac{x - \mu}{\sigma} \,[/tex]

Z= (380-300)/40

Z= 2

Z=2 has a p-value of 0.9772.

X=300

[tex]z = \frac{x - \mu}{\sigma} \,[/tex]

Z= (220-380)/40

Z=-2

Z=-2 has a p-value of 0.9772.

0,9772 - 0,0228 = 0,9544

0.9544 = 95.44% of scores lie between 220 and 380 points.

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Which of the following shapes could be formed by taking a longitudinal section perpendicular to the base of a rectangular prism?

Answers

The longitudinal section perpendicular to the base of a rectangular prism is a rectangle.

What is a three dimensional shape?

A three dimensional shape is a shape that has length, width and height. Examples of three dimensional shapes are cone, cylinder, prism and pyramid.

A two dimensional shape is a shape that have both length and width. Examples of two dimensional shape are circle, rectangle, square.

A rectangular prism is a three-dimensional shape, having six faces, where all the faces are rectangles.

The longitudinal section perpendicular to the base of a rectangular prism is a rectangle.

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HELPPPPPPPPPPPPPPPPPPP!

Answers

Answer: Real, equal, rational.

Step-by-step explanation:

[tex]-x^2-8x-16=0\\-(x^2+8x+16)=0\\Multiply \ the\ left \ and\ right \ sides\ of\ the\ equation\ by \ -1:\\x^2+8x+16=0\\x^2+2*x*4+4^2=0\\(x+4)^2=0\\x+4=0\\x=-4.[/tex]

Type the correct answer in each box. Use numerals instead of words.

This system of equations has been placed in a matrix:

y = 650x + 175
y = 25,080 − 120x

Answers

The system of equations when been placed in a matrix yields

[tex]\left[\begin{array}{ccc}650&-1\\120&1\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}-175\\25080\end{array}\right][/tex]

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation:

y = 650x + 175 and;

y = 25080 - 120x

Rearranging the equations gives:

650x - y = -175 and;

120x + y = 25080

Placing the equations in a matrix gives:

[tex]\left[\begin{array}{ccc}650&-1\\120&1\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}-175\\25080\end{array}\right][/tex]

The system of equations when been placed in a matrix yields

[tex]\left[\begin{array}{ccc}650&-1\\120&1\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}-175\\25080\end{array}\right][/tex]

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If two cards are drawn from a deck, what is the probability that exactly one of the cards will be a face card?

Answers

The probability of getting exactly one face card is 0.72.

According to the questions two cards are drawn from a deck.

Since, we know that

Total number of cards in a deck = 52

Total number of face cards =  3 × 4 = 12

So, the number of ways of selecting 2 cards from a deck = [tex]^{52} C_{2}[/tex]

And, the total number of ways of  getting exactly one face cards

= [tex]^{12} C_{1} \times ^{40} C_{1}[/tex]  + [tex]^{40} C_{1} \times ^{12} C_{1}[/tex]

= 2[tex]^{40} C_{1} \times ^{12} C_{1}[/tex]

Therefore, the probability of getting exactly one face card

= [tex]\frac{2(^{40} C_{1} \times ^{12} C_{1})}{^{52C_{2} } }[/tex]

[tex]= \frac{2(\frac{40 \times 39!}{1!\times 39!} \frac{12\times 11!}{11!}) }{\frac{52\times 51\times 50!}{2!\times50!} }[/tex]

[tex]= \frac{2(40\times 12)}{26\times 51}[/tex]

[tex]=\frac{2\times 480}{1326}[/tex]

= 0.72

Hence, the probability of getting exactly one face card is 0.72.

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12/31/2021 and 3 million shares at 12/31/2020 (81 million) (59 million) total shareholders’ equity $ 774 million $ 603 million how many of levi's common shares were outstanding on 12/31/2020

Answers

The number of Levi's common shares that were outstanding on 12/31/2020 is 16,000,000 shares.

What is an Outstanding common shares?

This refers to the number of shares of common stock that a company has issued to investors and company executives.

Total common shares

= $95million  / $5 par shares

= 19 million shares

Outstanding common shares = 19 million shares - 3 million shares

Outstanding common shares = 16,000,000 shares

Therefore, the number of Levi's common shares that were outstanding on 12/31/2020 is 16,000,000 shares.

Full information

The following partial information is taken from the comparative balance sheet of Levi Corporation:

Shareholders’ equity 12/31/2021 12/31/2020

Common stock, $5 par; 29 million shares authorized; 24 million shares issued and 19 million shares outstanding at 12/31/2021; and ____million shares issued and ____shares outstanding at 12/31/2020.

$120million $95million

Additional paid-in capital on common stock 529million 401million

Retained earnings 206million 166million

Treasury common stock, at cost, 5 million shares at 12/31/2021 and 3 million shares at 12/31/2020 (81million) (59million)

Total shareholders’ equity $774million $603million

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Which linear inequality is represented by the graph

Answers

Answer:

the second choice

Step-by-step explanation:

The last two choices could not be correct, because it would need a dashed line.  The line under the greater than or less than symbol mean  that the line is included in the answer and it will be a solid line like you see in the picture.  For both of the top two answers the slope that they y intercept is correct.  You just have to decide is the symbol will be greater than or equal to or less than and equal to.  

If we put 0 in x for in the form y = mx + b, what would y be?

y = 1/3 x - 1

y = 1/3(0) - 1

y = -1

The ordered pair is (0,1).  That is the part that is shaded so that shows us that the second answer is correct.

Select the correct answer.
What is the value of this expression if h = 8. j = -1, and k = -12? J3k/h0

A. 36
B. 12
C.-12
D. 3/4

Answers

The value of equation which is given is 12.

According to the Statement

we have given the expression and the some values and we have to find the values of the expression after put the given values in it.

So,The given values are:

h = 8. j = -1, and k = -12

And the given equation expression are J³k/h⁰

Now Substitute the value in the expression then

J³k/h⁰

After putting the values the expression become

(-1)³-12/8⁰

(-1)(-12)/1

After solving the value become

12/1

12.

now the value of expression become is the 12 after put all the values in it.

So, The value of equation which is given is 12.

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Morgan is designing a rectangular quilt. The quilt will be 1 3/5 meters wide and will have an area of 6m 2 (To the power). How long is the quilt?

Answers

Answer:3 3/4 meters

Step-by-step explanation:

6/(1 3/5)=3.75 meters or 3 3/4 meters

Suppose we deal a 5-card hand from a regular 52-carddeck. Which islarger, p(2 access) or p(3 diamonds)?

Answers

The probability of p(2 aces) is greater than the probability of p(3 diamonds).

Probability is the chance of happening an event or incident. The probability of an event can be calculated by the ratio of the number of favorable events to the total number of events in that sample space.

A deck of cards always has 52 cards.

Out of those 52 cards, there are 4 different aces.

The deck of cards also contains 13 diamonds.

Therefore, the probability of p(2 aces) is the probability of getting at least 2 aces in that 5-card hand is = 2/4 = 1/2 = 13/26.

Now, the probability of p(3 diamonds) is the probability of getting at least 3 diamonds in that 5-card hand is= 3/13 = 6/26.

If we compare these two probabilities, it is clear that the probability of p(2 aces) is greater than the probability of p(3 diamonds).

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14) Adelina is comparing prices for two brands of health and energy bars at the local grocery store.
She wants to get the best price for each bar. Feel Great energy bars are $18 for 12 bars. Super
Power bars cost $21.75 for 15 bars.

Answers

Answer:

Power Bars are cheaper!

Step-by-step explanation:

FG: $18/12 Bars = $1.50 per bar

PB: $21.75/15 Bars = $1.45 per bar

Answer:

Super Power bars

Step-by-step explanation:

In order to find the best price, we want to calculate the unit rate, or the price for each bar. Let's start with the Fee Great energy bars. Since they are $18 for 12 bars, we divide 18 by 12 to figure out how much each bar costs. We get 1.5, or $1.50 per bar. Next lets claculate the unit rate for the Super Power bars. Since its $21.75 for 15 bars, we divide 21.75 by 15. We get 1.45, or $1.45 per bar. Since the price for one bar is cheaper for the Super Power bars as $1.45 is less than $1.50, the Super Power bars are the best price for each bar.

Wilma worked 38 hours 52 minutes last week. She earns $25.15 per hour. What is Wilma's pay for this work period? Round your answer to the nearest hundredth..

Answers

The total pay for hours worked is $980.013

Calculating total pay for the work hours?

The method with which a daily worker's wage is being paid is by calculating the total hours worked and multiplying it with the fixed hourly pay.

From the information given:

Wilma worked for = 38 hours 52 minutes

In hours, we have:

= (38 + 0.9667) hours

= 38.9667 hours

If a fixed hourly pay of $25.15 is being paid, we have:

= $(38.9667 × 25.15)

= $980.012505

= $980.013 to the nearest hundredth.

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The graph shows two lines, A and B:

A graph is shown with x and y axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 5, 0. Another straight line labeled B joins the ordered pair 0, 2 with the ordered pair 6, 6.

Based on the graph, which statement is correct about the solution to the system of equations for lines A and B?

(3, 4) is the solution to both lines A and B.
(3, 4) is the solution to line A but not to line B.
(0, 2) is the solution to both lines A and B.
(0, 2) is the solution to line A but not to line B.

Answers

Answer:

Part A) The system has one solution

Part B) The solution is the point (4,4)


i believe

When the distribution we want to analyze is symmetrical, which of the three averages should we choose to report?

Answers

The mean, median, and mode all have the same values in a symmetrical distribution. The mean is frequently chosen as the primary indicator of central tendency in these situations.

The mean is the measure of tendency that is most strongly impacted by any outliers or skewness among the three measures of tendency. The mean, median, and mode all have the same values in a symmetrical distribution. How Does Symmetrical Distribution Work?

The mean, median, and mode frequently occur at the same location in a symmetrical distribution, where the values of variables exist at regular frequencies. The graph's middle can be divided into two sides that mirror one another by drawing a line through it.

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A movie hall has 295 seats. 198 of them are booked for a show. about how many more tickets need to be sold for the show to be houseful? note: round off the given numbers to the nearest hundred and estimate the answer.

Answers

Answer:100

Step-by-step explanation: The question asks us to round the given numbers to the nearest hundred. 295 rounded to the nearest hundred is 300 and 198 rounded to the nearest hundred is 200. 300-200 is 100, so they need to sell 100 more tickets for the show to be houseful.

Need help with my math please. 31-41.

Answers

Answer:

31: 98,765 x 9 + 3 = 888,888

32: 12.345 x 9 + 6 = 111,111

33: 3,367 x 15 = 50,505

34: 15,873 x 35 = 555,555

35: 33,334 x 33,334 = 1,111,155,556

36: 11,111 x 11,111 = 123,454,321

You skipped 37-39

40: 3 + 9 + 27 + 81 + 243 = 3(243-1)/2

41: 1/2 + 1/4 + 1/8 + 1/16 + 1/32 = 1 - 1/32

Step-by-step explanation:

It's just patterns bro

12 triangles outlined in blue are shown. A red square is drawn around 8 of the triangles.

The area of one of the small right triangles outlined in blue is A cm2, while the area of the square outlined in red is B cm2. Which expressions show the area of the shaded region in terms of A and B? Check all that apply.
4A + B
8A + B
2A + B
1.5B
12A

Answers

12A and 4A + B and 1.5B

Answer:

A, D, E

Step-by-step explanation:

I got it right.

10 Points !!!!!!!!!!!

Answers

Using proportions, the length of x is of 2.9.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The triangles are similar, that is, they have the same angles, hence the corresponding sides are proportional, by the following rule of three:

x/7 = 5/12

Applying cross multiplication:

12x = 35

x = 35/12

x = 2.9.

More can be learned about proportions at https://brainly.com/question/24372153

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A. 2
B. 1/3
C. 5
D. -3​

Answers

Answer: 2

Step-by-step explanation:

[tex]y=\frac{1}{3}x^2 +2x+5 \longrightarrow \frac{dy}{dx}=\frac{2}{3}x+2[/tex]

Setting this equal to 0 yields [tex]x=-3[/tex].

When [tex]x=-3[/tex], [tex]y=2[/tex]

Answer:

A. 2

Step-by-step explanation:

Given quadratic equation:

y = (1/3)x² + 2x + 5

Its leading coefficient is positive, so it has minimum value at vertex.

The x-coordinate of the vertex is:

x = -b/(2a)

Substitute the coefficients:

x = - 2/(2*1/3) = - 3

Find the value of y at vertex:

y = (1/3)(-3)² + 2(- 3) + 5 = 3 - 6 + 5 = 2

The matching answer choice is A.

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