help me pls :((((((((((

Answer:

[tex]T_n = \left \{ {{T_1=2} \atop {T_n =-5T_{n-1}}} n>1 \right.[/tex]

Step-by-step explanation:

Given

Geometric sequence: 2, -10, 50, -250

Required

Recursive formula of the sequence

We start by naming each sequence

[tex]T_1 = 2\\T_2 = -10\\T_3 = 50\\T_4 = -250[/tex]

Represent each term in relation to the previous term (except T1)

[tex]T_1 = 2\\T_2 =2 * -5\\T_3 = -10 * -5\\T_4 = 50 * -5[/tex]

Recall that

[tex]T_1 = 2\\T_2 = -10\\T_3 = 50\\T_4 = -250[/tex]

So, at this point; we have to make substitutions

[tex]T_1 = 2\\T_2 =T_1 * -5\\T_3 = T_2 * -5\\T_4 = T_3 * -5[/tex]

Subtract 1 from each term on the right hand side

[tex]T_1 = 2\\T_2 =T_{2-1} * -5\\T_3 = T_{3-1} * -5\\T_4 = T_{4-1} * -5[/tex]

Replace each term greater than 1 by n

[tex]T_1 = 2\\T_n =T_{n-1} * -5\\T_n = T_{n-1} * -5\\T_n = T_{n-1} * -5[/tex]

Remove repetition

[tex]T_1 = 2\\T_n =T_{n-1} * -5[/tex]

[tex]T_1 = 2\\T_n =-5T_{n-1}[/tex]

Hence, the recursive formula is

[tex]T_n = \left \{ {{T_1=2} \atop {T_n =-5T_{n-1}}} n>1 \right.[/tex]

Answer:

x is equal to 16 degrees

Angle measures 62 degrees

Step-by-step explanation:

From Law of Sines:

XW/sin(∠Y) = WY/sin(∠X)

From the picture

XW = 8

WY = 8

∠X = 62°

Replacing into the equation:

8/sin(∠Y) = 8/sin(62°)

∠Y = 62°

Angle Y is also equal to:

∠Y = 4x - 2

62 = 4x - 2

62 + 2 = 4x

64/4 = x

16° = x

Answer:

a) 2/5 x 900 = 360 hectares

b) 3/5th

c) 3/5 x 900 = 540

540 - 360 = 180

Farmer Richards needs to bring another 180 hectares under cultivation.

Answer:

x=3,y=-1 or (3,-1) The answer is D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

(9+7, -5-2)

(16, -7)

Answer:

B

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

If it is a perpendicular bisector, then the intercepting angles are always 90°.

If that is the case then we simply set the expression 7x + 6 equal to 90 and solve for x. We should get 12 as our answer.

Answer:

Height of Planter = H = 20 in²

Step-by-step explanation:

As the planter is not given in the question, the question is incomplete.

First, lets complete the question by attaching the diagram related to this question.

(SEE THE ATTACHMENT)

Lets consider the right angled triangle that is formed at the top of the planter, as shown in the diagram attached.

The right angled triangle has a width of 16 inches and a heights of 16 inches as well.

We know that the Area of a triangle can be calculated by following formula:

[tex]A=\frac{1}{2}\cdot(width)\cdot(height)[/tex]

Substitute the values to find Area:

[tex]Area = \frac{1}{2}\cdot16\cdot16\\Area = 128 in^2[/tex]

We also know that the Volume of a triangular prism is given by:

[tex]Volume=(Area)\cdot(Height)[/tex]

Where

Area = Area of the face = 128 in²

Height = Height of the planter = H

Volume = 2560 in³

Substitute the values and solve for H:

[tex]2560=128\cdot{H}\\H=\frac{2560}{128}\\H=20in^2[/tex]

Answer:

The graph that corresponds to the function is B.

Step-by-step explanation:

We want to see which one of the given graphs represents the function f(x) = 4*|x|

The correct option is the second graph.

Here we want to find the graph of the absolute value function:

f(x) = 4*|x|

To get it, we can evaluate the function in some values of x and then see which graph contains these points.

for example for x = 1 and x = -1 we have:

f(1) = 4*|1| = 4

f(-1) = 4*|-1| = 4

Then we need to see which graph contains the points (1, 4) and (-1, 4)

We can see that the only graph that contains these points is the second one, so the correct option is the second graph.

If you want to learn more about absolute value functions, you can read:

https://brainly.com/question/1782403

Answer:

it is C. An = 2(2)^n

Step-by-step explanation:

Answer:it is C. An = 2(2)^n

Step-by-step explanation:

Answer:

0.02

Step-by-step explanation:

[tex]0.2\times -0.5\times (-0.9 - -0.7)= \\\\0.2\times -0.5 \times (-0.2)= \\\\0.02[/tex]

Hope this helps!

0.02

[tex]solution \\ 0.2 \times \: - 0.5 \times ( - 0.9 - ( - 0.7)) \\ = 0.2 \times ( - 0.5) \times ( - 0.9 + 0.7) \\ = 0.2 \times( - 0.5) \times ( - 0.2) \\ = - 0.1 \times ( - 0.2) \\ = 0.02[/tex]

hope this helps..

Good luck on your assignment

Answer:

610 cm²

Step-by-step explanation:

This is an irregular figure. We can split it up by the triangle and the rectangle on the bottom.

To find the area of the triangle, we must determine the base length. As we can see, the bottom of the arrow has the measure 15 cm, and you can see that the missing section in the base of the triangle is the same measure. Now we find the measure of the base by adding 15 + 8 + 8, which equals 31 cm.

Now we multiply and divide by 2 to find the area of the triangle:

20*31 * 1/2

= 310 cm²

Now, we find the area of the rectangle. We can see that its dimensions are 15 by 20. We can plug these values into the rectangle formula:

A = 15*20

A = 300 cm²

Now we add these values to find the total area:

310 cm² + 300 cm²

= 610 cm²

Answer:

y=1/2x-2

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

Data

Given that A, B, and C are collinear points and B is between A and C, then the addition of the measure of segments AB and BC must be equal to the measure of segment AC, that is:

AB + BC = AC

Replacing with data:

2x + (x - 2) = 28

3x - 2 = 28

3x = 28 + 2

x = 30/3

x = 10

Answer:

The interest rate was 42.5%.

Step-by-step explanation:

Answer:

(9,-4)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

34 + 36pi = 147

Answer:

-10 or 10

Step-by-step explanation: I think its 10 but if its not it will probally be -10 i'm sorry if both of these are wrong. take care :) .

Answer:

-10 or 10

Step-by-step explanation:

-17

-07

-10

Answer:

point A

Step-by-step explanation:

point A is the point at 0.4 on the number line

Answer:

Point A

Step-by-step explanation:

'0.4' is less than 1. Point A is before the 'one' mark on the number line. Points B, C, and D are after the 'one' mark. Again, 0.4 is less than 1. Point A would be the most accurate place of 0.4 out of the given options.

Answer:

251.20 cm square

Step-by-step explanation:

As given in figure

height of cylinder = 2 cm

radius of cylinder = 8 cm

lateral surface area of cylinder is given by = [tex]\pi r l[/tex]

where r is the radius and l is the height

Therefore, lateral surface area of given cylinder

[tex]\pi r l = 3.14*8*2 = 50.24[/tex]

area of base is give by [tex]\pi r^2[/tex]

since there is only one base area of that base

= [tex]\pi r^2 = 3.14*8^2 = 3.14*64 = 200.96[/tex]

Thus,

Total surface area of open cylinder = 50.24 + 200.96 = 251.20 cm square

Answer:

0?

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

im not sure but possibly 5 if it goes in decreasing order

Step-by-step explanation:

from the top to the opposite side it decreases by 1 but other than that im not sure

Answer:

A

Step-by-step explanation:

cause it only has 3 in l side

The probability of a 3 showing on the dice would be equal to 1/6. the correct option is A.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that A fair,six sided dice is thrown once.

There are 6 possibilities and 3 is one of them so, probability of 3 is 1 out of 6,

The probability of a 3 showing on a six-sided dice is;

P(E)  = 1/6

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ2

Answer:

Part A: A  

Part B: A

Step-by-step explanation:

1)

the inequality should be less than or equal to, since we need to find how many are left

now, the answer B is wrong, since there can't be negative 56, since Xander collected some cans, though he still must collect a few

thus, the answer is A

2)

A again is correct, since it represents:c ≤ 56

B represents c ≥ 56

C represents c ≤ –56

D represents c ≥ -56

Answer:

y=4x-31

Step-by-step explanation:

Ignore the hint. Point slope form makes everything so much harder than it has to be.

Parallel lines always have the same slope, in this case 4.

So our equation is now: y = 4x + b

Let's solve for b by plugging in (5, -11), as it's the only point we know is on the parallel line.

-11 = 4(5) + b

-11-20 = b

b = -31

So plug in b: y = 4x - 31

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

Also rate and tell me if I'm correct :)

Answer:

y = -4x + 15.

Step-by-step explanation:

To find the equation of a line perpendicular to y = -2 and passing through the point (4, -1), we can use the point-slope form of a linear equation.

The given line y = -2 has a constant slope of 0 since there is no variable term involving x. A line perpendicular to it will have an undefined slope.

Using the point-slope form, we have:

y - y₁ = m(x - x₁),

where (x₁, y₁) represents the coordinates of the given point (4, -1), and m represents the slope.

Since the slope is undefined, the equation becomes:

y - (-1) = undefined(x - 4).

Simplifying:

y + 1 = undefined(x - 4).

Now, we can write the equation in slope-intercept form by substituting the slope as -4 (the negative reciprocal of 0):

y + 1 = -4(x - 4).

Expanding the right side:

y + 1 = -4x + 16.

To isolate y, we can subtract 1 from both sides:

y = -4x + 16 - 1.

Combining the constants:

y = -4x + 15.

Therefore, the equation of the perpendicular line is:

y = -4x + 15.

Answer:

8

There are two real solutions

Step-by-step explanation:

We have the following quadratic equation

[tex]2x^2+4x+1=0[/tex]

a refers to the coefficient next to [tex]x^2[/tex]

b refers to the coefficient with [tex]x[/tex]

c refers to the number without x

This means that

[tex]a=2\\b=4\\c=1[/tex]

We now can plug these variables into the discriminant formula

[tex]b^2-4ac\\\\(4)^2-4(2)(1)\\\\16-8\\\\8[/tex]

As our answer is positive, we can determine that this quadratic equation has two real solutions.

Answer:

BRO THE IMAGE FORMED IS CONGRUENT

Step-by-step explanation:

Answer:

They are congruent

Step-by-step explanation:

Figure C will still stay the same shape and size because there was no dilation involved in the process. The image of Figure C will be in quadrant 1 and rotated 270° clockwise. Congruent means it is the same shape and size. So our answer is "They are congruent".

Answer:

Vijays temperature was 4 degrees warmer

Step-by-step explanation:

the difference between -18 and -22 is +4

Answer:

Vijay's temperature was warmer by 4 degrees celsius.

Step-by-step explanation:

-18 + 22 = +4

I hope this helps!

-Bella

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