Please HELP!!!

What are the first 4 terms of the arithmetic sequence in the graph?

Enter your answers in the boxes.

_,_,_, and _

Answers:

a = 1

b = 14

c = 65

===========================================================

Explanation:

Let's focus on the root x = -7+4i

Add 7 to both sides, then square both sides. Then get everything to one side so 0 is on the other side.

x = -7+4i

x+7 = 4i

(x+7)^2 = (4i)^2

(x+7)^2 = 16i^2

(x+7)^2 = 16(-1)

(x+7)^2 = -16

(x+7)^2+16 = 0

If you were to follow those steps for the other root -7-4i, then you should get the same result. Solving (x+7)^2+16 = 0 leads to the two complex roots -7+4i and -7-4i.

Expand out that expression to get it into standard form

(x+7)^2+16

(x+7)(x+7)+16

x^2+7x+7x+49+16

x^2+14x+65

The equation is now in y = ax^2+bx+c form

a = 1

b = 14

c = 65

If you were to plug those a,b,c values into the quadratic formula, you'll find that it leads to the two given roots -7+4i and -7-4i.

Answer:

The answer will be 10

Step-by-step explanation:

2/1/5=10

[tex]\sin \gamma = \dfrac wk\\\\\\\tan \varphi = \dfrac mw\\\\\\\tan \gamma = \dfrac wm[/tex]

The set of transformation is: (b) dilation by a scale factor of 2 followed by reflection about the x-axis

The coordinates of the triangles are given as:

Triangle ABC

[tex]A =(-2, -1)\\[/tex]

[tex]B =(0, 0)[/tex]

[tex]C =(1, -3)[/tex]

Triangle A'B'C'

[tex]A' = (-4, 2)[/tex]

[tex]B '=(0, 0)[/tex]

[tex]C '=(2, 6)[/tex]

Start by dilating triangle ABC by a scale factor of 2.

The rule of this transformation is [tex](x,y) \to (2x,2y)[/tex]

So, we have:

[tex]A' =(-4,-2)[/tex]

[tex]B' =(0,0)[/tex]

[tex]C' = (2,-6)[/tex]

Next, we reflect the triangle across the x-axis.

The rule of this transformation is [tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex]A' = (-4, 2)[/tex]

[tex]B '=(0, 0)[/tex]

[tex]C '=(2, 6)[/tex]

Hence, the set of transformation is: (b) dilation by a scale factor of 2 followed by reflection about the x-axis

Read more about transformation at:

https://brainly.com/question/4057530

By the binomial theorem,

[tex]\displaystyle \left(x^2-\frac1x\right)^6 = \sum_{k=0}^6 \binom 6k (x^2)^{6-k} \left(-\frac1x\right)^k = \sum_{k=0}^6 \binom 6k (-1)^k x^{12-3k}[/tex]

I assume you meant to say "independent", not "indecent", meaning we're looking for the constant term in the expansion. This happens for k such that

12 - 3k = 0   ===>   3k = 12   ===>   k = 4

which corresponds to the constant coefficient

[tex]\dbinom 64 (-1)^4 = \dfrac{6!}{4!(6-4)!} = \boxed{15}[/tex]

Step-by-step explanation:

V epual to L x W x H

9.6cm x 0.8cm

9.6

x 0.8

46

Answer:

12 cm

Step-by-step explanation:

[tex]v_{eraser} = area \: of \: base \times height \\ \\ \therefore \: area \: of \: base = \frac{v_{eraser}}{height} \\ \\ = \frac{9.6}{0.8} \\ \\ = 12 \: cm[/tex]

Answer:

• y = -6x-5

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

The answers are given in the photo

Answer:

3rd option

Step-by-step explanation:

Answer:

it's the first option (x ≥ -4)

Step-by-step explanation:

Domain refers to the x range, which is the horizontal line. As we can that the point last touches from the left is -4 and it is a colored circle so that means that there is a line underneath. Then, it goes right so that means that x is larger and/or equal to -4.

x ≥ -4

Answer:

[tex]\frac{3}{25\pi}[/tex] meters per minute

Step-by-step explanation:

Given:

[tex]V=\pi r^2h[/tex]

[tex]r=5[/tex]

[tex]\frac{dV}{dt}=3[/tex]

[tex]\frac{dh}{dt}=?[/tex]

Substitute r=5:

[tex]V=\pi r^2h[/tex]

[tex]V=\pi(5)^2h[/tex]

[tex]V=25\pi h[/tex]

Differentiate both sides:

[tex]\frac{d}{dt}V=\frac{d}{dt}(25\pi h)[/tex]

[tex]\frac{dV}{dt}=25\pi\frac{dh}{dt}[/tex]

Solve for dh/dt:

[tex]3=25\pi\frac{dh}{dt}[/tex]

[tex]\frac{3}{25\pi}=\frac{dh}{dt}[/tex]

Therefore, the height of the water is increasing at a rate of [tex]\frac{3}{25\pi}[/tex] meters per minute.

Hey there!

“63 + 49”

21(3 + 2)

= 21(3) + 21(2)

= 63 + 42

= 105

Option A. isn’t the answer because the equation for that is: 63 + 42

7(9 + 7)

= 7(9) + 7(7)

= 63 + 49

= 112

Option B. could possibly be your answer

9(7 + 6)

= 9(7) + 9(6)

= 63 + 54

= 117

Option C. isn't your answer because the equation for that is: 63 + 54

3(21 + 16)

= 3(21) + 3(16)

= 63 + 48

Option D. isn’t your answer because the equation for that is: 63 + 48

Thus, this makes makes [Option B. 7(9 + 7)] is your answer

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

A. 315 degree

B. 6480 degree

C. 63^ over 2

D. 7^ over 4

E. 945 degree

hope it help:)

Answer:

A because the other answer choices are not associated with what is in the graph

Explanation:

Let's say this school has 1000 seniors.

25% of this count is 0.25*1000 = 250 to indicate there are 250 seniors with blue eyes. Of this smaller count, 60% of them are girls with blue eyes. So there are 0.60*250 = 150 female seniors with blue eyes.

Divide that last number over the original value: 150/1000 = 0.15 = 15%

The probability that the senior selected randomly is a blue-eyed female is 15%.

It is given that 25% of the seniors class has blue eyes of the blue student 60% are females.

Probability refers to the occurrence of random events. Basically, it is the possibility to predict how likely events are to happen.

Probability of event = Number of favorable outcomes / Total number of outcomes.

Let's consider this school has 1000 seniors.

25% of this count

0.25 × 1000 = 250

Which shows that there are 250 seniors with blue eyes.

Similarly, 60% of them are girls with blue eyes.

So, there are 0.60 × 250 = 150

there are 150 female seniors with blue eyes.

Here, the probability that seniors selected randomly is a blue-eyed female

150/1000 = 0.15

                = 15%

Therefore, the probability that the senior selected randomly is a blue-eyed female is 15%.

Learn more about the probability here;

https://brainly.com/question/795909

Answer:

Your answer is p=3.99;$51.87

Answer:

10.63

Step-by-step explanation:

d = √((x2-x1)2 + (y2-y1)2)

Step by step procedure:

Find the difference between coordinates:

01(x2-x1) = (-1 - -9) = 8

(y2-y1) = (1 - 8) = -7

Square the results and sum them up:

(8)2 + (-7)2 = 64 + 49 = 113

Now Find the square root and that's your result:

Exact solution: √113 = √113

Approximate solution: 10.6301

The phrases that can be represented as the algebraic expression, 3n - 3 are: Option 3 and Option 5.

Let's translate each of the given phrases to algebraic expressions in order to determine which of them can be represented as 3n - 3.

Option 1:

3 fewer than n is represented as, n - 3

Option 2:

difference between n and 3 is represented as, n - 3.

Option 3:

3 times n is 3n

3 fewer than 3n is represented as 3n - 3.

Option 4:

product of 3 and n is represented as 3n.

Option 5:

3 less than 3n is represented as 3n - 3.

Therefore, the phrases that can be represented as the algebraic expression, 3n - 3 are: Option 3 and Option 5.

Learn more about algebraic expression on:

https://brainly.com/question/2164351

[tex]4\sin^2 x - 3 = 3 \sin x\\\\\implies 4\sin^2 x -3 \sin x -3 =0\\\\\implies 4u^2 -3u -3 =0~~~~~~~~~~~~~~;[\text{Set} ~ \sin x = u]\\\\\implies u = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4\cdot 4 \cdot (-3)}}{2(4)}~~~~~~;[\text{Apply quadratic formula}]\\\\\\\implies u = \dfrac{3\pm\sqrt{57}}8\\\\\implies \sin x = \dfrac{3\pm\sqrt{57}}8~~~~~~;[\text{Substitute back}~ u = \sin x]\\\\\text{Now,}\\\\\sin x = \dfrac{3+\sqrt{57}}8\\\\\text{No solution for}~ x\in \mathbb{R} ~\text{Since}~ -1\leq \sin x \leq 1\\[/tex]

[tex]\sin x = \dfrac{3 - \sqrt{57}}8\\\\\implies x = n\pi + (-1)^n \sin^{-1} \left(\dfrac{3-\sqrt{57}}8\right)\\\\\\\text{ When n = 1,2 and}~ [0,2\pi]},\\\\\\x= \pi - \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)~ \text{and} ~x = 2\pi + \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)\\\\\text{In decimal,}\\\\x= 3.75~~~~ \text{and}~~~ x =5.68[/tex]

Answer:

6/7

Step-by-step explanation:

Answer:

Sorry

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

I converted 8 hours to minutes so solve the equation easily

8 hours = 480 minutes

I subtracted the amount of time she takes for a break

480- (15+15) = 450

To find the number of computers she could repair I divided 450 by the number of minutes she spends repairing one computer.

[tex]\frac{450}{45}[/tex]= 10

Therefore, she could fix 10 computers during her 8 hours of work.

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

Answer:

26.18 units

Step-by-step explanation:

You could use distance formula three times to calculate the length of each side. Add the three lengths to find the perimeter. However, (see image) if you look at a graph of these points, two of the sides are the hypotenuse of a right triangle that have known, integer values--Pythagorean triples. The sides are 3-4-5 and the other is 6-8-10. We use the Pythagorean theorem to find the third side. See image.

11.18 + 5 + 10

= 26.18 units

The perimeter of triangle is 26.18.

A triangle is 2-dimensional closed curve. which has 3 sides, 3 angles and 3 vertices.

According to the question,

Triangle ABC has coordinates A(-6,2), B(-3,6), C(5,0).

Distance formula: √(x₂-x₁)² + (y₂-y₁)².

Points A and B are (-6,2) and (-3,6)

= √(-3-(-6))² + (6-2)²

= √9+16

= √25

=5.

Thus, point A and B has distance, S₁ = 5.

Points B and C are (-3,6) and (5,0)

Distance formula: √(x₂-x₁)² + (y₂-y₁)²

= √(5-(-3))² + (0-6)²

= √(8)² + (-6)²

= √(64+36)

=√100

=10.

Thus, point B and C has distance, S₂ = 10.

Points C and A are (5,0) and (-6,2)

Distance formula: √(x₂-x₁)² + (y₂-y₁)²

= √(-6-(5))² + (2-0)²

= √((-11)² + (2)²)

=√(121+4)

=√125

=5√5

Thus, point C and A has distance, S₃= 5√5.

Perimeter of triangle = S₁ + S₂+S₃

= 5 + 10 + 5√5

=15+5√5

=15+5(2.23606)

=15+11.1803

=26.1803 ≈ 26.18

Hence, the perimeter of triangle is 26.18.

Learn more about Triangle here

https://brainly.com/question/15590074

#SPJ2

Answer:

x-7

Step-by-step explanation:

The answer 120 MESSAGES

Answer:

A rational number is a number that doesn't terminate or repeat

a non rational number is a number that terminates or repeats

so she basicelly got mixed up

Hope This Helps!!!

Answer:

Hm? Is there meant to be a file, if so I can’t see it. :((

Step-by-step explanation:

Answer:

1.2x + 3

Step-by-step explanation:

It has to have +3 because 0 alresdy starts at 3 than use any point (I choose (5,9)) and find how much changed. The point moved 6 up and 5 to the right so divide 6/5 and get 1.2. Then test it with other points. (2,5.4) is a great example because it shows that whatever the equation is it is not 1.5 or anything above.