Complete the table to find the factor pairs for 12x^2 - 18x^3 + 30x^4

Answer:

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Convert the equation in below steps to solve for x:

Divide both sides by a:

Log both sides with base b:

Here is the answer:

Answer:

∠ AOB = 17.5°

Step-by-step explanation:

∠ AOB + 110 + ∠ COD = 180 ( sum of angles in straight line )

\(\frac{1}{3}\) ∠ COD + 110 + ∠ COD = 180 ( subtract 110 from both sides )

\(\frac{4}{3}\) ∠ COD = 70 ( multiply both sides by 3 to clear the fraction )

4 ∠ COD = 210 ( divide both sides by 4 )

∠ COD = 52.5°

Thus

∠ AOB = \(\frac{1}{3}\) × 52.5° = 17.5°

we have:

each calculator = 4 batteries

$32.98 for 20 calculator batteries

cost of batteries for 110 graphing calculators = ?

then

i.e. you need to buy 22 packages of calculater batteries. and the cost is:

answer is $725.56

Answer:

it should be 152, can i please get brainliest

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The first coordinate of an (x, y) ordered pair is the horizontal distance to the right of the vertical y-axis. A negative value indicates a distance to the left.

The second coordinate of an (x, y) pair is the vertical distance above the horizontal x-axis. A negative value indicates a distance below the axis.

The point (1, 4), for example, is 1 unit right and 4 units up from the origin, where the axes cross.

__

Additional comment

It is a good idea to get comfortable plotting points and reading the coordinates of points on a graph. You will use that skill a lot in Algebra courses. Reading graphs is also a skill useful in Life.

Answer:

\(y = f(x - 1) + 2\)

Step-by-step explanation:

Let's say that the dotted graph is y.

See f(3) = 0 or (3,0). Let's call that the point of interest. Notice that our point of interest has to move to the right by 1 unit to get to the dotted graph. so

\(y = f(x - 1)\)

And it has to go up by two units so

\(y = f(x - 2) + 2\)

The volume of the figure is 54 cubic units

Since we are not given a figure, we can assume it as a rectangular prism:

Area of the rectangular prism = a²b

Given that a = 3 units and b = 6 units, the required volume is expressed as:

V = 3² * 6

V = 9 * 6

V = 54 cubic units

Hence the volume of the figure is 54 cubic units

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Answer:

3 dollars

Step-by-step explanation:

Answer:

3 dollars or $3, here you go lad

Answer:

C.) True equation. X = all real numbers

Step-by-step explanation:

Answer:

the answer is 40.5

Step-by-step explanation:

your welcome

Answer:

x=1

y=-2

Step-by-step explanation:

I explained the answer to the question in the photo

Answer:

Step-by-step explanation:

the first would be   _3  ,0

                                  5

and the second would be 0,3

Solution :

In this case we have to use \($\text{chi square test}$\) for the goodness of fit.

Null hypothesis is : \($H_0 :$\) Data follows the given distribution

Alternate hypothesis is : \($H_a:$\) Data do not follow the given distribution

The level of significance, \($\alpha = 0.05$\)

The test statistics is given by :

Chi square = \($\sum\frac{(O-E)^2}{E}$\)

Here O is the observed frequencies

         E is the expected frequencies

So we have, N = number of the categories = 4

df = degrees o freedom = N - 1

                                        = 4 - 1 = 3

Critical value  = \($7.814727764$\)

Calculating the table for the test statistics are given as :

  Category      prop.     O        E       \($\frac{(O-E)^2}{E}$\)

   A                   0.2     14       20         1.80

   C                   0.3     28       30         0.13

   M                  0.1        6        10          1.60

  P                    0.4      52       40         3.60

Total                  1        100      100        7.13

The test statics = chi square  = \($\sum\frac{(O-E)^2}{E}$\) = 7.13

\($X^2$\) statistics = 7.13

P-value = 0.067767248

P -value > \($\alpha = 0.05$\)

Therefore, we do not reject the \($\text{null hypothesis}$\). There is sufficient evidence to conclude that the data follows the given distribution. So there is sufficient evidence to conclude the given claim is true.

The correct answers are 1st and 4th i.e translate 2 units down and reflect the triangle.

We can easily deduce that the triangle A'B'C' is 2 units higher than the triangle ABC so if we want to map the both the triangles we have to make the triangle A'B'C' lower in the graph.

So, both the 1st and 4th points translate and reflect down the triangle A'B'C'  which will be mapped according to the triangle ABC.

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Answer: 40 dollars

Step-by-step explanation:

i hope the explanation is right:)

If he invites 5 friends for 40 bucks each then one friend that he knows will go is 40 dollars. So the only thing you have to do for this problem is multiply 40 by the number of friends which in this case i believe is 1.

If he reflected the point (-3, 7) over the y-axis it will end up in the first quadrant.

*The transformation rule is (x, y) -> (-x, y) so, x & y-components will be positive, thus being in the first quadrant.

Answer:

The height of the cylinder is 4x units.

Step-by-step explanation:

volume of a cylinder = nr^2h

n = 22/7

r = radius = x/2

Let illustrate with an example. If the diameter of a cylinder is 6 and the volume is 6^3 = 216. The radius = 6/2 = 3

n3^2 x h = 216

h = 216/9 = 24

so the height is 4 times the diameter

Area of the base = nr^2

1/2^2 x x = 1/4 pi x^2

Answer:

-5/4

Step-by-step explanation:

Let \((x_1,y_1)=(-4,4)\) and \((x_2,y_2)=(0,-1)\). The slope of the line would be:

\(\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{0-(-4)}=\frac{-5}{4}=-\frac{5}{4}\)

Answer: -5/4

Step-by-step explanation:

To find the slope between two points, you can use the formula:

Slope = (y2 - y1)/(x2 - x1)

Using the points (0, -1) and (-4, 4), we can substitute the coordinates into the formula:

slope = (4 - (-1))/(-4 - 0)

slope = (4 + 1)/(-4)

slope = 5/-4

Therefore, the slope between the two points is -5/4.

The value of the dimensions of the triangle using law of sines are angle C = 29.03 degrees, angle B = 58.97 degrees, and side b = 30.009 yd.

A triangle's sides and angles are related by the Law of Sines, a trigonometric formula. For every triangle with sides a, b, and c and opposing angles A, B, and C, it says that:

The equation sin A/a = sin B/b = sin C/c

In other words, for all three angles, the ratio of the sine of each angle to its opposite side is the same. When part of the sides and angles of a triangle are known, this formula can be used to find the unknown sides or angles.

The law of sines gives the ratio of the side length to the opposite angle.

Thus, using the given triangle we have:

Sin A / a = Sin C /c

Sin 92 / 35 = Sin C / 17

Sin C = 17 Sin 92 / 35

C = arcsin (17 Sin 92 / 35)

C = 29.03

Using the sum of angle of triangle we have:

A + B+ C = 180

92 + B + 29.03 = 180

B = 58.97

Now,

Sin A / a = Sin B / b

Sin 92 / 35 = Sin (58.97) / b

b = sin (58.97) (35) / sin  92

b = 30 .009

Hence, the value of the dimensions of the triangle are angle C = 29.03 degrees, angle B = 58.97 degrees, and side b = 30.009 yd.

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part a.

The probability that exactly 6 customers arrive between 2 and 3:30 PM  0.096

part b.

Pr(X = 6 | X ≤ 6) less than or equal to 1.77

part c.

The probability of having at least one day with exactly 6 customers in a seven day period is  0.587.

The probability of an event is described as a number that indicates how likely the event is to occur.

a. \ the probability that exactly 6 customers arrive between 2 and 3:30 PM is given as :

P(X = 6) = (e^-9.75 * 9.75^6) / 6! ≈ 0.096

b.

Using Bayes theorem,

To find Pr(X ≤ 6 | X = 6), we know that this is equal to 1, since if X = 6, then X ≤ 6 is definitely true. hence :

Pr(X = 6 | X ≤ 6) = 1 * 0.096 / 0.052 ≈ 1.77

c. Using binomial distribution:

Pr(Y ≥ 1) = 1 - Pr(Y = 0)

Pr(Y = 0) = (1 - 0.088)^7 ≈ 0.413

Pr(Y ≥ 1) ≈ 1 - 0.413 ≈ 0.587

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Answer:

9 bags of trail mix

Step-by-step explanation:

The approximate population in 2016 is 91, 604 population

The exponential equation representing the statement is \(P=P_0e^t\)

Substituting into the formula will give:

If by 2012 the population had increased to 81,000, then:

81000 =  56000e^12k

81000/56000 = e^12k

1.4464 = e^12k

ln1.4464 = 12k

0.3691 = 12k

k = 0.3690/12

k = 0.03076

Get the prediction of the population in 2016.

\(P = 56000e^{16(0.03076)}\\P=56000e^{0.49213}\\P = 56000(1.6357)\\P = 91,603.70\)

Hence the approximate population in 2016 is 91, 604 population

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Where is the link to your question? I can't answer thing without a link my guy- :/

Answer:

The answer is y = -3x - 2.

Step-by-step explanation:

Given that in slope-form equation, m represents gradient and c is y-intercept. So you have to sbustitute the values into the equation :

\(y = mx + c\)

\(let \: m = - 3 \\ let \: c = - 2\)

\(y = - 3x - 2\)

The additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria is

EJ ≅ GJ. Option A

We need to know the properties of a parallelogram, we have;

We know that FJ  ≅ JH, it's given by the marks, now if it were to happen that EJ ≅ GJ, that would mean that the diagonals on that quadrilateral are bisecting each other, and if that's so, then the quadrilateral it's indeed a parallelogram.

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The complete question:

What additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria?

A)

ej ≅ gj

B)

ej || gj

C)

fg || eh

D)

ef ≅ hg

Answer:

6/5=x/15

Step-by-step explanation:

6/5=x/15,where x is hight of the lamp post

x=18

a) The number of bird feeders that the company must sell in a week to obtain the maximum profit = 100

b) Maximum profit = 3800

Maximum profit

Given that ,

f(x)=−0.40\(x^{2}\)+80x−200

f'(x) = -0.40 x \(2x\) + 80

      = - 0.80\(x + 80\)

f''(x) = - 0.80

a) For Maximum and minimum profit

f'(x) = 0

- 0.80\(x\) + 80 = 0

        0.80 \(x\)  = 80

                  \(x\) = 80 / 0.80

                     = 80 /80 x 100

                  \(x\) = 100

for x = 100 , f''(x) = -0.80

                   f''(x) < 0

Therefore, for x = 100 profit is maximum

Number of bird feeders = 100

b)Maximum profit

f(x) = -0.40 \(x^{2}\) + 80 \(x\) - 200

      = -0.40 x 100 x 100 + 8000 - 200

      = - 4000 + 8000 - 200

      = 4000 - 200

      = 3800

Therefore maximum profit = 3800

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Answer:

c

Step-by-step explanation: because