If a = −3, then a + a2 − a3 + a4 − a5 = _____

Answer:

6

Step-by-step explanation:

24/4 = 6

30/5 = 6

Dividing the values of the larger print by the corresponding values of the smaller print results in a scale factor of 6

Answer:

  f(x) = 6·sin(8(x -π/2))

Step-by-step explanation:

A transformed sine function with amplitude A, period P, and horizontal shift S can be written as ...

  f(x) = A·sin(2π/P(x -S))

__

The equation for A=6, P=π/4, and S=π/2 is then ...

  f(x) = 6·sin(8(x -π/2))

_____

Additional comment

The horizontal shift is equal to two full periods, so the shifted function is indistinguishable from the unshifted function.

Answer:

Third option

Step-by-step explanation:

The y-intercepts are -2 and 3 so first option is wrong

One is dashed line and other is solid so one needs to have equal and other one shouldn't, so second option is wrong as both are less than but not also equal

Third option the -2 intercept one is less than or equal to And the slope is positive while the 3 intercept one is greater with negative slope.

The given graph represents the system of inequalities in the third option y ≤ 2x - 2 and y > -x + 3.

It is clear from the graph that one of the inequality has a solid graph line while other has a dotted graph line.

So one of the inequality must be of the form ≤ or ≥ and the other one is of the form < or >.

The only inequalities of this form in the options are,

y ≤ 2x - 2

y > -x + 3

Consider y = 2x - 2.

The points through the line are (0, -2), (1, 0), (2, 2), ...

At origin, (0, 0), 0 ≤ -2 is false. So (0, 0) does not include in the solution region.

So the solution region of y ≤ 2x - 2 is on the part of the line of y = 2x - 2 where (0, 0) is not included.

Consider y = -x + 3

Line passes through (0, 3), (1, 2), (2, 1), (3, 0),....

At (0, 0), 0 > 3, which is false.

So the solution region of y > -x + 3 does not contain the part where (0, 0) is included.

So the resulting graph is correct for this system of inequalities.

Learn more about System of Inequalities here :

https://brainly.com/question/19526736

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A=(1/2)(b1+b2)h =

=(48x+68)in² = (1/2)( b1+(9x+12))8

=b1= 3x+5

Answer:

false

Step-by-step explanation:

Using the binomial distribution, it is found that the expected score of the game is of 21.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected number of trials until q successes is:

[tex]E_s(X) = \frac{q}{p}[/tex]

In this problem, a die has a p = 1/6 probability of resulting in a 1, hence the expected number of trials is:

[tex]E_s(X) = \frac{1}{\frac{1}{6}} = 6[/tex]

In each trial, each outcome from 1 to 6 is equally as likely, hence the expected score of a single trial is given by:

[tex]E = \frac{1 + 6}{2} = 3.5[/tex]

Then, the expected score of the six trials is:

6 x 3.5 = 21.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

-------------------

Step-by-step explanation:

as I see it, A is the full 180° angle.

and so, there are 3 more 180° angles:

below A in the other side of the blue line the whole 180° arc.

above and below the blue line at the intersection point with the second, parallel red line (again, the whole 180° arcs).

Answer:

x=6

Step-by-step explanation:

(I don't know if you mean question 2 3x= 18 or 2 times 3x = 18)

2.3x = 18
3x = 18 / 2 = 9
x = 9/3 = 3

Or : x = 18/3 = 6

Answer:

C: 12^12/12^6

Step-by-step explanation:

it is equal to 12^6

Answer:

[tex]\sf\:Negative = \boxed{\sf\:\theta =\pi n_{1}+\frac{5\pi }{6}\text{, }n_{1}\in \mathbb{Z}}\\\sf\: Positive = \boxed{\sf\:\theta =\pi n_{1}+\frac{\pi }{6}\text{, }n_{1}\in \mathbb{Z}}[/tex]

Step-by-step explanation:

[tex]4 - 3 \sec ^ { 2 } \theta = 0[/tex]

Let's solve this.

Isolate sec²θ.

[tex]4 -3 \sec ^ { 2 } \theta = 0\\- 3 \sec^{2}\theta = -4\\3 \sec^{2}\theta=0\\\sec^{2} \theta=\frac{4}{3}[/tex]

Now, we now that, cos θ is the reciprocal of sec θ. Therefore,

[tex]\sec^{2}\theta = \frac{4}{3}\\\cos^{2}\theta = \frac{3}{4}[/tex]

Bring the square root on both the sides of the equation to remove the square.

[tex]\sqrt{\cos^{2}\theta} = \sqrt{\frac{3}{4} }\\\cos^{2}\theta = (+/-) \frac{\sqrt{3} }{2}[/tex]

If,

[tex]\cos\theta = + \frac{\sqrt{3}}{2}\\= cos \left( \frac{\pi}{6} \right)\\\Longrightarrow \boxed{\sf\:\theta =\pi n_{1}+\frac{\pi }{6}\text{, }n_{1}\in \mathbb{Z}}[/tex]

Also if,

[tex]\cos\theta = -\frac{\sqrt{3}}{2}\\= \cos \left(\pi - \frac{\pi}{6}\right)\\= \cos \left({\frac{5\:\pi}{6}\right)\\\Longrightarrow \boxed{\sf\:\theta =\pi n_{1}+\frac{5\pi }{6}\text{, }n_{1}\in \mathbb{Z}}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer: 10m +27

Step-by-step explanation: Add all the sides together to calculate Perimeter.

2(2m +10)+2m+7+2m +2m

4m + 20 + 2m +7 +2m +2m

10m +27

Answer:

2.3<x<8.7

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

Answer:

the answer is B 1/50. I think

Answer:

Step-by-step explanation:

In rectangle, the diagonals are equal  bisect each other.

⇒ OA = OB

⇒ΔAOB is an isosceles triangle.

In ΔAOB,

x + x + 120 = 180°

  2x + 120 = 180

           2x = 180 -120

           2x = 60

             x = 30°

In ΔABD

∠A + ∠ABD ∠BDA = 180

90  + 30 + ∠BDA  = 180

                 ∠BDA = 180 - 90 -30 = 60°

ΔABD is 30 - 60 - 90 triangle.

The ratio of sides of 30-60-90 triangle is x : x√3 : 2x

x →shortest leg which is opposite ot 30°

∵ x = AD =  20

x√3 → longest leg which is opposite to 60°

x√3 ( AB) = 20*1.732

            AB   = 34.64

Area of rectangle = length * width

                              = 34.64 *20

                             = 692.8

                             ≈ 693 square units

Answer:

8/75 is the answers for the question

Probably between obtuse angle or triangle because sometimes they trick you

But I'm not 100 percent sure

Answer:

It is right

Step-by-step explanation:

Right triangles will always form a corner like an L shape

Answer:

1/18

Step-by-step explanation:

probability of getting a three= 1/6

probability of getting a three on a wheel=1/3

probability of winning= 1/6x1/3=1/18

Answer:

12

Step-by-step explanation:

Length of a circle = circumference = 2πr = 24π

                                            Radius (r) = 24π/2π

                                                             = 12cm

Answer:

Step-by-step explanation:

Remark

All triangles are made up of 3 angles totally 180 degrees.

In addition a right triangle has a measurement of 90 degrees.

The other two angles must add to 90 degrees as will. That is the definition of complementary. (2 angles add to 90 degrees).

Formula

x + 28 = 90

Solution

x + 28 = 90              Subtract 28 from both sides.

x+28 -28=90 - 28

x = 62

The measure of the second angle is 62

Answer:

Circumference = 23.23600 (using 3.14 instead of whole PI)

Step-by-step explanation:

Answer:

9 x 2/8 = 9/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

9 divided by 2/8 but make the 2/8 into a decimal and the turn back to a fraction if it ask if not then leave it how it is and if you have to round which you prolly wont have to but ask to make sure ight

The possible number of different phone numbers will be 128000000

The extent to which an event is likely to occur, measured by the ratio of the favourable cases to the whole number of cases possible.

In this exercise we have to use the knowledge of probability to find the phone number, so:

1 280 000 000 different ways.

First we have to establish some information about this exercise such as:

Thus, now calculating the possibilities of occurrence, we have:

[tex]8\times 2\times 10=160[/tex]

[tex]8\times 10^6=8000000[/tex]

[tex]160\times 8000000=1280000000[/tex]

See more about probability follow

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Answer:

The mean of the data is 3 inches, is false

Step-by-step explanation:

3, 3, 4, 4, and 6 inches.

To find the mean, add the numbers together and divide by the number of data points

( 3+3+4+4+6)/5 = 20/5 = 4

The median is the middle number

3, 3,    4,      4, and 6 inches.

The median is 4

The range is the largest number minus the smallest number

6-3 =3

Answer:

[tex] - 8x {}^{2} - 6x + 35 [/tex]

Step-by-step explanation:

(2x+5)(7-4x)

expanding

2x(7-4x)+5(8-4x)

removing brackets

2x×7+2x×-4x+5×7+5×-4x

14x-8x^2+35-20x

arranging properly

-8x^2-6x+35

Answer: look at the attached image

Step-by-step explanation:

Answer:

x = y = 64° , z = 20°

Step-by-step explanation:

x = y = [tex]\frac{180-52}{2}[/tex] = 64 °

m∠ADC = 52° + x

m∠ADC = 52° + 64° = 116°

z = 180° - 116° - 44° = 20 °