5.
Geometric Sequence goes from one term to the next by always multiplying by the same
value.
Examples:
1, 2, 4, 8, 16,...... common multiplier is multiply by 2
27, 9, 3, 1, 2,........ Common multiplier is multiplied by 13
t(n) = ab"
b= common multiplier
n = term # (the nth term)
a= zeroth term
Given the sequence 70, 49, 34.3, 24.01, ....
a. What is the common multiplier?
b. What is the zeroth term?
c. What is the value of the 25th term t(25)?

Answer:

6 (24÷3) -2

6 (8) -2

48-2

=46

Brackets of division multiplication add and subtract

Answer:

x=32

Step-by-step explanation:

To make the lines parallel, the sum of the angles must be equal to 180. 2x+3x+20=180, 5x=160, x=32

Answer:

answer is 20................................

Answer:

A=h(b)b/2

Step-by-step explanation:

depth at point B = 5 m

Step-by-step explanation:

y = -(2/5)x - 1

Point C is located 10 m from the origin O which means that x = 10. Using this value in our equation,

y = -(2/5)(10) - 1

= -4 - 1

= -5

Answer: 3.9047 rounded to the nearest thousandth is 3.9050, or 3.905.

Step-by-step explanation:

You round 47 up to 50, which gets you to 3.9050, which you can then reduce it to 3.905.

Answer:

49×66+49×34 = 49× (66+34)

Answer:

49×66+49×34 = 49× (66+34)

Step-by-step explanation:

Answer:

324.13°

Step-by-step explanation:

Applying,

cosA = 4/5

To find the value of A, we find the inverse of the cosine of both side,

(cosA)cos⁻¹ = cos⁻¹(4/5)

A = cos⁻¹(0.8)

A = 36.87° (First quadrant)

The above value of A is its value in the first quadrant

To find the value of A in the fourth quadrant, we use the expression

∅₄ = 360-∅₁............... Equation 1

Where ∅₄= value of A in the fourth quadrant, ∅₁ = value of A in the first quadrant.

Therefore,

∅₄ = 360-36.87

∅₄ = 324.13°

Hence the value of A in the fourth quadrant is 324.13°

Answers:

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

Explanation:

The template for a 30-60-90 triangle is that the short leg x leads to hypotenuse 2x, and longer leg x*sqrt(3). If x = 4, then we get the sides 4, 8, 4*sqrt(3) which are the short leg, hypotenuse, and long leg in that order.

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The template for a 45-45-90 triangle is that we have x as the leg length and x*sqrt(2) as the hypotenuse. If x = 6, then we end up with the sides 6, 6, 6*sqrt(2)

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The triangle with sides 6, 8, 10 is a right triangle because a = 6, b = 8, c = 10 makes a^2+b^2 = c^2 true. I'm using the converse of the pythagorean theorem. We don't have a special right triangle because these sides do not fit the templates mentioned in the previous two sections above.

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The triangle with sides a = 7, b = 8, c = 10 on the other hand will not make a^2+b^2 = c^2 true. Note that a^2+b^2 = 7^2+8^2 = 113 which is not the same as 10^2 = 100. However, a triangle is possible because adding any two sides leads to a sum larger than the third side (triangle inequality theorem).

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We cannot form a triangle with sides 7, 12, 19 because the sides 7 and 12 add to 7+12 = 19 but that's not longer than the third side 19.

The triangle inequality theorem says that if you want to form a triangle with sides a,b,c then the following three inequalities must all be true

a+b > c

a+c > b

b+c > a

Answer: 3 quart

Step-by-step explanation:

Given

Jason poured 1 gallon 1 quart of water into an empty 2 gallon bucket

1 gallon can be written as 4 quart

So, 2 gallon can be written as 8 quart

Subtract 1 gallon 1 quart(5 quart) from 2 gallon(8 quart) to get the volume added

[tex]\Rightarrow 8-5\\\Rightarrow 3\ \text{quart}[/tex]

So, 3 quart of water must be added to reach 2 gallon capacity.

Answer:

Step-by-step explanation:

the circumference you make it using the diameter , pi times ( 3.142 times)

C = 13* 3.142 = 40.846

Answer:

(5, 6, 9)

Step-by-step explanation:

The domain is basically the set of all x values while the range is the set of all y values, in this case, it's the values of f(x). To find the range, we can plug the x values into the equation:

f(-2) = 9

f(-1) = 6

f(0) = 5

f(1) = 6

f(2) = 9

Since we can't have repeats in the range, it would be: (5, 6, 9)

Answer:

ask your teacher it would be good for you and also teachers give u good thing about that okay but i can't help you sorry.

Step-by-step explanation:

Answer:

272 feets

Step-by-step explanation:

Badwater Basin = 279 feets below sea level = - 279 feets (relative to sea level)

New Orleans = 7 feets below sea level = - 7 feets (relative to sea level)

Hence,

New Orleans is higher Than Badwater Basin by :

279 feets - 7 feets

= 272 feets

Answer:

320 square inches

Step-by-step explanation:

10*8=80

80*4=320

final answer: 320 square inches

Answer: [tex]5\dfrac{1}{4}\ \text{cups of flour}[/tex]

Step-by-step explanation:

Given

Klarissa requires [tex]1\ \frac{3}{4}[/tex] cups of flour to make a recipe

Convert mixed numeral to fraction

[tex]\Rightarrow 1\dfrac{3}{4}=\dfrac{4+3}{4}\\\\\Rightarrow \dfrac{7}{4}[/tex]

If she wants to triple the recipe then,

[tex]\Rightarrow 3\times \dfrac{7}{4}=\dfrac{21}{4}\\\\\Rightarrow \text{or}\ 5\dfrac{1}{4}\ \text{cups of flour}[/tex]

Answer:

5.1

Step-by-step explanation:

Answer: 1436 units cubed (3.14) or 1437 units cubed (π)

Step-by-step explanation:

answer depends on if you substitute in 3.14 for π or not

Answer:

What do you need help with?

Answer:

$34.8

Step-by-step explanation:

Given data

Cost of apartment= $870 per month

increase= 20%

Discount= 8%

Let us find the amount of increase

=20/100*870

=0.2*870

=$174

New cost = 870+174

=$1044

New cost of apartment for 18 month

=1044*18

=$18792

He gave them 8% discount

=8/100*18792

=0.8*18792

=$15033.6

Hence the monthly fee will be

=15033.6/18

=$835.2

Therefore the difference in price is

=870-835.2

=$34.8

Answer:

1/16

Step-by-step explanation:

There is a 1/2 chance to flip a heads.

So, in this case, we would multiply 1/2 four times in reference to the coins being flipped a total of 4 times to find its probability.

1/2 x 1/2 x 1/2 x 1/2 = 1/16

Thus, there is a 1/16 chance that you'd get heads four times in a row.

Answer:

yes it's true because 3 groups of 8 is 24

Answer:

Choice 3

Step-by-step explanation:

The third fraction (third refers to the answer number) is incorrect. As written, the cups won't cancel. The correct way to do this is to invert the fraction.

4 tablespoons

===========

1/4 cup

This is an extremely important procedure to know. Make sure you understand what the basis of it is. Often  times in higher physics, you don't have a proper relationships and this method (called dimensional analysis) is the only tool you have to work with.

So each term has at least 1 cancelation that occurs with the prior term. And it is the units that you look to cancel, and that determines which way to put the intermediate steps.

Answer:

Area of the composite figure = 42 in²

Step-by-step explanation:

Composite area of the given figure = Area of the rectangle + Area of the right triangle

Area of the rectangle = Length × Width

                                    = 6 × 5

                                    = 30 in²

Area of the right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                         = [tex]\frac{1}{2}(4)(6)[/tex]

                                         = 12 in²

Area of the composite figure = 30 + 12

                                                  = 42 in²

Answer: the answer is 51.41281

Step-by-step explanation:

Sin=opp/hyp. sin(40)=x/69. x=69sin(40). x=51.41281

Answer:

y = -2

Step-by-step explanation:

The formula for point-slope is as follows:

y - y1 = m(x - x1)

We are given the slope, m, or 0, and we are given the point (8, -2), which we can substitute into the point (x1, y1):

y + 2 = 0(x - 8)

y + 2 = 0

y = -2