Match each whole number with a rational, exponential expression.

Answer:

87th term is 497

Step-by-step explanation:

first, you have to find the nth term:

figure out the difference between your set of numbers (in our case +6)

that means that is 6n. next, the nth term is basically the 0th term so you have to find the 0th term. all you have to do is do the inverse of 6n (-6n or -6), which gives us -25.

nth term= 6n-25

now replace n with 87.

final step:

87*6 (6n and n=87) and that gives you 522. then, you have to do 522-25, due to the equation. 522-25=497

497 is your 87th term.

Answer:

Step-by-step explanation:

[tex]a = -19\\d = T_{2} -T_{1} \\d = -19-(-13)\\d = -19+13\\d = -6\\T_{n}= a+(n-1)d \\\\T_{87} = -19+(87-1)-6\\T_{87} = -19+(86)*-6\\T_{87} = -19-516\\T_{87} = -535[/tex]

Answer:

I think it might be the second one or maybe the first one

Step-by-step explanation:

Im not quite sure so dont blame me if its wrong

Answer:

The measure of angle a is 43 degrees.

Step-by-step explanation:

Angle P is congruent to Angle R. A triangle's angles add up to 180 degrees. 47*2=94. 180-94=86 degrees. 86/2=43 degrees.

Answer: 43°

Step-by-step explanation:

The degree of a triangle adds up to 180. We are given an angle of 47 and there is a right angle of 90

We now have 90 + 47 + a = 180

137 + a = 180

a = 43

Answer:

f(0) = 3

Step-by-step explanation:

Step 1: Distribute

f(x) = -3x + 3

Step 2: Plug in

f(0) = -3(0) + 3

f(0) = 3

Answer:

f(0) = 3

Step-by-step explanation:

f(x) = -3(x-1)

Put x as 0 and solve.

f(0) = -3(0-1)

Solve the brackets.

f(0) = -3(-1)

Multiply both terms.

f(0) = 3

Answer:

60

Step-by-step explanation:

The sum of interior angles in a triangle is 180

180-90-30=60

Step-by-step explanation:

Simple Interest = PTR/100

=1000* 30* 6/100

=1800.

Amount= Principal + Interest

= 1000+1800

= $2800

The amount of money that has at the of 30 years is $​2800.

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.

Unlike compound interest, which adds the interest from the principal of prior years to determine the interest of the following year, the principal amount in simple interest remains constant.

As per the given,

Principle amount P = $1000

Rate of interest R = 6%

Time span T = 30 years.

Total amount = Principle amount + Interest

Total amount = P + (PRT)/100

Total amount = $1000 + (1000 x 6 x 30)/100

⇒ $2800

Hence "The amount of money that has at the of 30 years is $​2800".

For more about simple interests

https://brainly.com/question/25845758

#SPJ5

Answer:

area of the original square = 144 cm²

Step-by-step explanation:

You didn't include the whole question, but nonetheless this is the answer.

Take care. (:

Answer:

144 cm^2

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

Multiplying 5.1 by 10^1 shifts the decimal point 1 place to the right.  We get 51.

Answer:

34/95

Step-by-step explanation:

Since 38 students choose football and 23 students chose tennis, then 95 - 38 - 23 = 34 students chose running. The probability is 34 / 95.

Answer:

Option C

Step-by-step explanation:

=> 4p + 2 = 8

Subtracting 2 to both sides

=> 4p = 8-2

=> 4p = 6

Dividing both sides by 4

=> p = 1.5

Answer:

The answer is C.

Step-by-step explanation:

First, you have to subtract 2 to both sides :

[tex]4p + 2 = 8[/tex]

[tex]4p + 2 - 2 = 8 - 2[/tex]

[tex]4p = 6[/tex]

Next, you have to divide it by 4 :

[tex]4p = 6[/tex]

[tex]p = 6 \div 4[/tex]

[tex]p = 3 \div 2[/tex]

[tex]p = 1.5[/tex]

Step-by-step explanation:

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

=56xy+16x-28y-8

Answer:

56xy+16x-28y-8

Step-by-step explanation:

you have to use the FOIL method to solve this is problem which is

F-First

O-Outer

I-Inner

F-Last

Answer:

A. 72

Step-by-step explanation:

Determinant of a 2x2 matrix: ad - bc

In that case,

24(18) - 30(12)

432 - 360

72

And we have our answer.

Answer:52

Step-by-step explanation:

Use pemdas :D

10^2+4-18+2-7*5-1

100+4-18+2-(7)(5)-1

104-18+2-(7)(5)-1

86+2-(7)(5)-1

88-(7)(5)-1

88-35-1

53-1

52

THE ANSWER TO YOUR PROBLEM!

52

THE ANSWER TO THE ANSWER TO YOUR PROBLEM!

10^2=100

10^2+14=114

10^2+4-18=86

10^2+4-18+2=88

10^2+4-18+2-7=81

10^2+4-18+2-7*5=83

10^2+4-18+2-7*5-1=52!

Hope i helped!-Animefan28

Answer:

A= BEP and BCG

Because they aree the only triangle

C= about 600 to 750

Step-by-step explanation:

Answer:

104

Step-by-step explanation:

40 x 260 /100  = 104

Answer:

104

Step-by-step explanation:

40% of 260=

40/100 x 260=

10400/100=

104

Answer: 1324.12 sq. cm.

Step-by-step explanation:

A=2πrh+2πr2

A = 2π x 8.2 x 17.5 + 2π x 8.2^2

A = 2π x 143.50 + 2π x 67.24

A= 1324.12

Answer:

SA = 1324.1 cm²

Step-by-step explanation:

Surface Area of Cylinder = [tex]2\pi rh+2\pi r^2[/tex]

Where r = 8.2 cm, h = 17.5 cm

=> SA = [tex]2(3.14)(8.2)(17.5)+2(3.14)(8.2)^2[/tex]

=> SA = [tex]901.6+2(3.14)(67.24)[/tex]

=> SA = 901.6 + 422.5

=> SA = 1324.1 cm²

Answer:

78 red apples

Step-by-step explanation:

Set up the equations

r + y + g = 130

y = 3g

r = 2y

If r = 2y and y = 3g, then r = 6g

Plug in the two equations, y = 3g, and r = 6g

6g + 3g + g = 130

10g = 130

g = 13

Plug in 13 as g in the equation r = 6g

r = 6(13)

r = 78

There were 78 red apples

Answer:

342/6 = 57

Step-by-step explanation:

Just basic division

Answer:

x=-6.5

Step-by-step explanation:

[tex]7\frac{1}{4} - 13\frac{3}{4}=-6\frac{1}{2}=-6.5[/tex]

Answer:

4/15

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

15/4 ÷ -5/8

Copy dot flip

15/4 * -8/5

Rewrite

15/5 * -8/4

3 * -2

-6

Answer:

-6

Step 1) Do keep change flip if your beginner

After you do that

you get 15/4x-8/5 multiply and simply get -6

Answer:

5668.3

Step-by-step explanation:

The problem can be represented as a right angled triangle as shown below.

The angle of depression is equivalent to the angle inside the triangle (alternate angles) and it is 34°.

The altitude of the balloon is 2999 feet. (opposite)

Using trigonometric function, SOHCAHTOA, we can solve this:

[tex]sin(34) = \frac{opposite}{hypotenuse}\\ \\sin(34) = \frac{altitude}{distance}\\\\sin(34) = \frac{2999}{distance}\\\\distance = \frac{2999}{sin34}\\\\distance = 5668.3 feet[/tex]

The pilot is 5668.3 feet far away from the house.

Answer:

1953125

Step-by-step explanation:

Step 1: Simplify

(5x5x5) x (5x5x5x5x5x5) = [tex]5^3(5^6)[/tex]

Step 2: Combine exponents

[tex]5^3(5^6)[/tex] = [tex]5^9[/tex]

Step 3: Evaluate

[tex]5^9[/tex] = 1953125

Answer:

15750

Step-by-step explanation:

First you calculate the first bracket (it is equal to 125), then you calculate the second bracket (it is equal to 15625), and then you multiply the 2 numbers.

Answer:

(-1, 5), (2, -1), (0, 3)

Answer:

[tex] - x + x 2 - 6[/tex]

that's it hope its helpful

Answer:

- 156250

Step-by-step explanation:

Find the ratio of the geometric sequence.

-10/2 =  -5

50/-10 = -5

The common ratio is -5.

Apply the formula.

an = ar^(n-1)

Where a is the first term and r is the ratio.

a8 = 2(-5)^(8-1)

a8 = 2(-5)^7

a8 = 2(-71825)

a8 = -156250

Answer:

3,12,15

Step-by-step explanation:

caculator

Answer:

y - x = - 5

Step-by-step explanation:

Applying the rule gives

x = [tex]\frac{1}{3}[/tex] × 36 + 9 = 12 + 9 = 21

y = [tex]\frac{1}{3}[/tex] × 21 + 9 = 7 + 9 = 16

Thus

y - x = 16 - 21 = - 5

Answer:

-1.67

Step-by-step explanation:

Answer:

[tex]12 \sqrt{2} [/tex]

Step-by-step explanation:

Taking the terms one at a time,

[tex] \frac{14}{ \sqrt{2} } \\ \frac{14 * \sqrt{2} }{ \sqrt{2} * \sqrt{2} } \\ \frac{14 \sqrt{2} }{2} \\ 7 \sqrt{2} [/tex]

[tex] \sqrt{50} \\ \sqrt{25 * 2} \\ \sqrt{25}* \sqrt{2} \\ 5 * \sqrt{2} \\ 5 \sqrt{2} [/tex]

Adding the terms, you have;

[tex]7 \sqrt{2} + 5 \sqrt{2} =(7 + 5) \sqrt{2} = 12 \sqrt{2} [/tex]

Hope it helps!

I'm out!

Answer:

12

Step-by-step explanation:

14/√2 +√50= 14*√2/√2*√2+ √25*2= 7√2+5√2= 12√2

12√2= b√2

b=12