Someone please help with question 6 part a) and b) plsss I’m in a test!!!!

Let a (n) denote the n-th term of the sequence. Since the terms form an arithmetic sequence, you have

a (n) = a (n - 1) + d

for some fixed constant d. You can write any term in the sequence as a function of the first term:

a (n) = [a (n - 2) + d] + d = a (n - 2) + 2d

a (n) = [a (n - 3) + d] + 2d = a (n - 3) + 3d

and so on, down to

a (n) = a (1) + (n - 1) d

so given that a (11) = 57 (so that n = 11), you have

a (1) + 10d = 57 … … … [1]

The sum of the first and fourth terms is 29:

a (1) + a (4) = 29

but we can write a (4) in terms of a (1) :

a (1) + [a (1) + 3d] = 29

which gives us another equation in a (1) and d :

2 a (1) + 3d = 29 … … … [2]

Now solve [1] and [2] :

-2 (a (1) + 10d) + (2 a (1) + 3d) = -2 (57) + 29

-17d = -85

d = 5

a (1) + 10d = a (1) + 50 = 57

a (1) = 7

Then the n-th term of the sequence is given by

a (n) = 7 + 5 (n - 1) = 5n + 2

Answer:

I might be in highschool, but I'm sure I can still help.

Step-by-step explanation:

See the 45 degree angles? that means they're equal sides. So 4v2 = 5.65, right? so if you take 180 - 5.65, and then divide by two, you should have the length to each of those sides. They're equal, remember. So, the answer would be 180 - 5.65 = 174.35. 174.35 / 2 = 87.175. In this case, k = 87.175 :)

Answer:

Range=2

Step-by-step explanation:

Range=Highest number-Lowest number

          =5-3=2

Hope it Help

Mark Me Brillainest

Answer:

a

Step-by-step explanation:

Answer:

[tex]log(\frac{a^{2} }{b^{3} } )[/tex]

Step-by-step explanation:

[tex]q[/tex] [tex]log[/tex] [tex]a -3log[/tex] [tex]b[/tex]

[tex]=log[/tex] [tex]a^{2} -log[/tex] [tex]b^{2}[/tex]

[tex]now[log[/tex][tex]a/b=log[/tex] [tex]a-log[/tex] [tex]b[/tex][tex]][/tex]

[tex]= log(a^{2} /b^{3)}[/tex]

[tex]--------[/tex]

hope it helps...

have a great day!!!

Answer:

40 gallons of milk

Step-by-step explanation:

trust me that's the answer

The farmer will get 35 gallons of milk from 14 cows.

Process:

1) find the unit rate. do this by taking the independent value and divide it by the dependent value

10/4=2.5

2) Take this number and multiply it by the next dependent value

2.5 x 14 = 35

I believe that the answer is 11/4. I hope this helps!

Answer:

Step-by-step explanation:

The answer is TRUE

True

Answer:

RS 36

12%

Step-by-step explanation:

Profit = total selling price - cost price

(28 - 25) x 12 = 36

Percentage profit = (profit / cost price) x 100

Cost price = 25 x 12 = 300

(36/300) x 100 = 12%

Step-by-step explanation:

The function is:

[tex]f(n) = 25 + 5 \times (n - 1) \\ n \geqslant 1[/tex]

Answer: 47.6 is your answer hope this helped

plz make brainly

Step-by-step explanation:

Answer:

36 - 4

Step-by-step explanation:

(6x - 2)(6x + 2)

= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)

= 36 - 12x + 12x - 4

= 36 - 4Step-by-step explanation:

Answer: (7,3)

Step-by-step explanation:

Find the midpoint of the diameter to find the center

mid-point formula

[tex](\frac{(x_{1} +x_{2)} }{2} ,\frac{(y_{1} +y_{2} )}{2} )[/tex]

Using points (4,5) and (10,1)

[tex](\frac{4+10}{2} , (\frac{5+1}{2} )\\(\frac{14}{2},\frac{6}{2}) \\\\(7,3)[/tex]

The coordinates of the center of the circle are (7, 3).

Given that, in a circle, the coordinates of the endpoints of a diameter are (4,5) and (10,1).

A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments.

The formula to find the midpoint of line segment is (x, y) = [(x1+x2)/2, (y1+y2)/2]

The center of the circle is midpoint of a diameter

Here, (x, y) = ((4+10)/2, (5+1)/2)

= (14/2, 6/2)

= (7, 3)

Therefore, the coordinates of the center of the circle are (7, 3).

To learn more about the formula of midpoint visit:

https://brainly.com/question/4728902.

#SPJ2

Answer:

The equation of line is

[tex]\text{yield}=1.15\times \text{fertilizer}+10.1[/tex]

Step-by-step explanation:

The general equation of line is given as

[tex]y=mx+b[/tex]

where

y is the dependent variable which is yield in this case.

x is the independent variable which is fertilizer in this case

m is the coefficient of the fertilizer whose value is 1.150 from the given values.

b is the constant whole value is 10.100 from the given values.

Thus the equation becomes.

[tex]\text{yield}=1.15\times \text{fertilizer}+10.1[/tex]

Answer:

there are 3 solutions which can be done by substitution method, elimination method,graphical method, 9f you need solution than contact me 8n comments I can show solutions

The actual area of the apartment will be 960 square feet.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

A blueprint shows an apartment with an area of 15 square inches.

If the blueprint's scale is 1 inch : 8 feet.

Then the scale factor will be 8/1 feet per inch.

Then the actual area square footage of the apartment will be

Actual area = 15 x (scale factor)²

Then the actual area of the footage will be

Actual area = 15 x (8/1)²

Actual area = 15 x 64

Actual area = 960 square feet

Thus, the actual area of the apartment will be 960 square feet.

More about the dilation link is given below.

https://brainly.com/question/2856466

#SPJ2

What's the question?

Step-by-step explanation:

Here

Now,

[tex]\\ \tt\hookrightarrow AB=\sqrt{(-2-1)^2+(6-2)^2}[/tex]

[tex]\\ \tt\hookrightarrow AB=\sqrt{(-3)^2+(4)^2}[/tex]

[tex]\\ \tt\hookrightarrow AB=\sqrt{9+16}[/tex]

[tex]\\ \tt\hookrightarrow AB=\sqrt{25}=5units[/tex]

And,

[tex]\\ \tt\hookrightarrow BC=\sqrt{1+2)^2+(2+2)^2}[/tex]

[tex]\\ \tt\hookrightarrow BC=\sqrt{(3)^2+(4)^2}[/tex]

[tex]\\ \tt\hookrightarrow BC=\sqrt{9+16}[/tex]

[tex]\\ \tt\hookrightarrow BC=\sqrt{25}=5units[/tex]

And

[tex]\\ \tt\hookrightarrow AC=\sqrt{(-2+2)^2+(6+2)^2}[/tex]

[tex]\\ \tt\hookrightarrow AC=\sqrt{(0)^2+(8)^2}[/tex]

[tex]\\ \tt\hookrightarrow AC=\sqrt{8^2}=\sqrt{64}=8units[/tex]

Now

[tex]\\ \tt\hookrightarrow perimeter=5+5+8=18units[/tex]

The answer is going to be B

10% of $200,000 = $20,000

b

x is 10 times greater then y 3+n 5

Answer:

554,700

Step-by-step explanation:

Answer:

X=35 Y=73

Step-by-step explanation:

use the opposite angle theorem for x. X would equal 35.

we know that x is 35. So 2y+35=180

180-35=2y

y=72.5 or 73

srry I can’t help with question 2. I don’t know how

ANSWER.

The measure of angle A is 53.13°.

STEP BY STEP

Given,

ABC is a triangle,

In which m∠CBA = 90°, AB = 3 cm, BC = 4 cm and CA = 5 cm,

By the law of sine,

 ( By cross multiplication )

By substituting the values,

 ( sin 90° = 1 )

Hence, the measure of angle A is 53.13°.

Sorry for the changing answers, did the question too fast and misinterperted the diagram. The answer below is the correct one.

Answer:

mUC=70°

Step-by-step explanation:

The angle (87) formed by two chords (US and TS) is half the sum of the intercepted arcs(104 and mUC):

87=(1/2)(104+mUC)

174=104+mUC

mUC=70°

Step-by-step explanation:

what is the ability that the children will have green eyes collar

Answer:

112 ^0

Step-by-step explanation:

cant explains it very well

Answer:

The slope is 0.

Step-by-step explanation:

Suppose we have two points in a data set, the slope is given by the change in the output divided by the change in the input.

In this question:

Two points: (0,-20) and (1,-20)

Change in the output: -20 - (-20) = -20 + 20 = 0

Change in the input: 1 - 0 = 1

Slope: 0/1 = 0

The slope is 0.

Answer:

512

16 · 4 = 64

64 · 8 = 512

Answer:

1. 12x-5y = -20 Answer: 2(picture)

2. y =x+4 Answer: 1(picture)

Step-by-step explanation: Hope this help :D