Use Pascal’s Triangle to determine the fifth term of the expansion of (x + 3)7

Answer:

d = 4

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₁ = - 2 and a₈ = 26 , then

- 2 + 7d = 26 ( add 2 to both sides (

7d = 28 ( divide both sides by 7 )

d = 4

Answer:

d = 4

Step-by-step explanation:

a₁ = -2

a₈ = aₙ = 26

n = 8

aₙ = a₁ + d(n-1)

d = aₙ - a₁ / (n-1)

d = 26 -(-2) / (8-1)

d = 26 + 2 / 7

d = 28 / 7

d = 4

-2

-2 + 4 = 2

2 + 4 = 6

6 + 4 = 10

10 + 4 = 14

14 + 4 = 18

18 + 4 = 22

22 + 4 = 26

Answer:

You will earn $15.75, $13.50, or $18 depending on how you are getting paid

Step-by-step explanation:

If you are getting paid a flat rate not by the hour, then simply multiply $3.50 by 3.5 to get $15.75

If you are getting paid by the hour, and only by full hours, the you get $3.50 for the first, second, and third hour, but not for the fourth hour because it has only been a half hour, so only $13.50.

If you are getting paid for each hour that you start, then you get $3.50 for four hours, or $18.00 total

Answer:

Step-by-step explanation:

For principal P invested at simple interest rate r, the returned value in t years is ...

  A = P(1 +rt)

If K is Kamal's returned value, the given numbers tell us ...

  K = P(1 +0.05·2) = 1.1P

__

For principal P invested at compound interest rate r, with interest compounded annually for t years, the returned value is ...

  A = P(1 +r)^t

If A is Anand's returned value, the given numbers tell us ...

  A = P(1.05)² = 1.1025P

This latter amount is RS.15 more than the former one, so we have ...

  1.1025P = 1.1P +15

  0.0025P = 15 . . . . . . . . subtract 1.1P

  P = 6000 . . . . . . . . . . . divide by 0.0025 . . . .  the amount lent

Kamal received 1.1P -P = 0.1P = 600 on the investment.

Each lent ₹6000. Kamal received ₹600 in interest; Anand received ₹615 in interest.

Answer:

x=52

Step-by-step explanation:

x=30+22

x=52

Answer:

Move all terms not containing  

X

to the right side of the equation.

X = 52

Answer:

slower car=60 miles/hr

faster car =80 miles/hr

Step-by-step explanation:

the speed of slower car =x

the speed of faster car=x+20

they both 210 miles apart

(x+x+20)*(1 1/2 )=210

(2x+20)(3/2)=210

3x+30=210

3x=210-30

3x=180

x=180/3 ⇒ x=60

x+20 ⇒ 60+20=80

Answer:

1

Step-by-step explanation:

We can use the slope formula

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

   = ( 8-4)/( -1 --5)

   = 4/( -1+5)

   = 4/4

   =1

You need the slope, so start with the slope formula.

slope = y₂ - y₁ / x₂ - x₁

Substitute (-5, 4) for (x₁, y₁) and (-1, 8) for (x₂, y₂).

So we have 8 - 4 / -1 - -5.

Simplify to find the answer.

So we have 4/4 which is 1.

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

I used a calculator and it's correct!

Plz click the Thanks button!

<Jayla>

Answer:

[tex]x=2,\:y=-16[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}-8x+y=-32\\ -3x-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:-8x+y=-32:\quad x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}x=-\frac{-32-y}{8}\\\begin{bmatrix}-3\left(-\frac{-32-y}{8}\right)-10=y\end{bmatrix}\\\\Simplify\\\begin{bmatrix}\frac{3\left(-32-y\right)}{8}-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:\frac{3\left(-32-y\right)}{8}-10=y:\quad y=-16\\\\\mathrm{For\:}x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}y=-16\\x=-\frac{-32-\left(-16\right)}{8}\\[/tex]

[tex]-\frac{-32-\left(-16\right)}{8}=2\\x=2\\x=2,\:y=-16[/tex]

Answer:

x = 2

y = -16

Step-by-step explanation:

Substitute value of y, -3x - 10 in the equation-8x + y = -32

-8x + (-3x - 10) = -32

-8x - 3x - 10 = -32

-11x - 10 = -32

-11x = -32 + 10

-11x = -22

Divide both sides by coefficient of x which is -11

x = 2

Substitute value of x, 2, in the equation-3x - 10 = y

(-3)2 - 10 = y

-6 - 10 = y

y = -16

Answer:

Kyra is correct.

Step-by-step explanation:

Rational numbers;

All numbers which can be written in the form of [tex]\frac{p}{q}[/tex] are rational numbers.

Example: 1, 2, [tex]\frac{1}{2}[/tex], 1.414141....

Irrational numbers:

Numbers which are not in the form of [tex]\frac{p}{q}[/tex] are irrational.

Example: 1.234, π, √2

So rational and irrational numbers are two separate things.

But all positive and negative numbers are real numbers.

Real numbers may be rational or irrational both.

Therefore, Kyra's interpretation is correct.  

Answer:

its d because who askes that question

Answer:

Zero can be classified as a: Whole number, Rational number, and integer.

Step-by-step explanation:

Zero cannot be classified as a natural number because it does not have a positive or negative value.

I hope this helps! Good luck!

Zero is not classified as a D. Natural number

Zero can be quite complicated to place when it comes to numbers but it is generally agreed that zero is:

There is however some contention about whether zero is a natural number but most mathematicians have conclusively stated that zero is not a natural number.

Find out more at https://brainly.com/question/14751537.

Answer: 8 months

Step-by-step explanation:

m= number of months

45m+95=455

minus 95 over

45m=360

divide by 45

m=8

Answer:

week 4

Step-by-step explanation:

With Ben saving up $150 every week, he'll have $850 by week 4 because, $150 times 4 is $600, plus the $250 that he started with equals $850. Tim will also have $850 by week 4 because $200 times 4 equals $800. $800 minus the $1650 that he started off with equals $850.

Answer:

24

Step-by-step explanation:

Answer:

3/11.

Step-by-step explanation:

3/11 = 0.2727272727....

Answer:

Based on the question. D, would make the most sense.

Answer:

Step-by-step explanation:

If points A, B and C are collinear, then A, B and C lies on the same straight line. Hence AB+BC = AC

Given

AB = 12''

BC = 8''

To get length od segment AC, we will substitute the given values into the formula above as shown;

AB+BC = AC

12 + 8 =AC

AC = 12+ 8

AC = 20''

Hence the length of AC is 20''

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

Work Shown:

F = ma

250 = m*5

250/5 = m

50 = m

m = 50

The mass of the object is 50 kg

Answer:

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Answer: The answer to the first question is C. The answer to the second question is A.

the first one is C and the second is A

Answer:

Identity property

Step-by-step explanation:

Answer:

B. 2x + $22 = $56 ; x = $17

Step-by-step explanation:

Assuming a pair of short is accounted for by the variable x.

Your total cost is $56. This means that your expression will equal 56:

________________ = 56

Next, you buy 1 shirt (denoted by s) for $22.

s = $22

You buy 2 pairs of pants. The cost is not given, so it can vary. Give it a variable. The answers denote it as x. As you are buying two pairs of pants, multiply 2 with x:

2 * x = 2x.

Combine the terms and plug it into the equation:

2x + 22 = 56

Next, solve for x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. Remember,  PEMDAS is the order of operation, &

PEMDAS =

Parenthesis

Exponents & Roots

Multiplication

Division

Addition

Subtraction

First subtract 22 from both sides:

2x + 22 (-22) = 56 (-22)

2x = 56 - 22

2x = 34

Next, divide 2 from both sides:

(2x)/2 = (34)/2

x = 34/2

x = $17

B. 2x + $22 = $56 ; x = $17 is your answer.

~

Answer:

B. 2x + $22 = $56 ; x = $17

Step-by-step explanation:

Answer:

39.04 x 10 to the power of 7

Step-by-step explanation:

probably wrong but ok :)

Answer:

what do you mean what sentence is correct give a picture

Answer:a

Step-by-step explanation:

Answer:

The answer is A (0.203 > 0.085)

Answer:

with what part of the question be more specific