If the 5th term in a geometric sequence is 162, and the common ratio is 3. What is the first term in the sequence?

Answer:

(0.7465 , 0.8429 )

Step-by-step explanation:

Confidence Level - "P" values  

90% 1.645

Confidence Interval - "P" values  

(0.7465 , 0.8429 )  

Answer:

-5

Step-by-step explanation:

since it is a lose, it is represented by a negative sign.

Answer:

Step-by-step explanation:

Reference angle in quadrant I,

θ' = θ

Reference angle in quadrant II,

θ' = 180° - θ

Reference angle in quadrant III,

θ' = θ - 180°

Reference angle in quadrant IV,

θ' = 360° - θ

13). θ = 315°

Since, the given angle is in the 4th quadrant,

Reference angle θ' = 360° - 315°

                                 = 45°

14). θ' = (620° - 540°)

         = 80°

Reference angle = 80°

15). θ' = 630° - θ

          = 630° - 580°

          = 50°

Reference angle = 50°

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

Explanation:

1/2 = 4/8 after multiplying top and bottom by 8

So the mixed number 7  1/2 is the same as 7  4/8

We can convert to an improper fraction like so

7  4/8

7 + 4/8

7*(8/8) + 4/8

56/8 + 4/8

(56+4)/8

60/8

Notice how dividing 60 over 8 leads to 7 remainder 4. Think of it like having 60 cookies and you want to share them amongst 8 friends. Each friend gets 7 whole cookies (7*8 = 56 taken so far) and then we have 60-56 = 4 left over as the remainder.

Through similar steps, you should find that the mixed number 1  7/8 converts to the improper fraction 15/8.

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

To rephrase the problem with improper fractions would be to say:

"The electrician needs to buy 60/8 feet of wire. There are 15/8 feet of wire in each spool. How many spools should the electrician buy?"

Let x be the answer to that question.

We multiply the number of spools (x) by the amount of feet of wire per spool (15/8) to get the expression (15/8)x

Set this equal to the target 60/8 and solve for x

(15/8)x = 60/8

15x = 60 .... multiply both sides by 8 to clear out the fractions

x = 60/15

x = 4

The electrician needs to buy exactly 4 spools

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

A different approach could have us convert each mixed number into decimal form

7  1/2 = 7 + 1/2 = 7 + 0.5 = 7.5

1  7/8 = 1 + 7/8 = 1 + 0.875 = 1.875

So the electrician needs to buy 7.5 ft total and each spool has 1.875 ft of wire.

Using the same idea as before, we would then have,

1.875x = 7.5

x = (7.5)/(1.875)

x = 4

Answer:

No

Step-by-step explanation:

From the information provided, we can say that he is not correct. This is because the depth of the water is the only measurement that he is using to make his estimate. Comparing the depth of the aquarium and the bucket is one measurement, but both the aquarium and bucket are most likely of different shapes and sizes. Therefore, this equates to more buckets for the same amount of depth in the aquarium. To get a proper estimate on how long it will take he needs to calculate the volume of water in the bucket and compare it to the volume of water needed to fill the aquarium.

Answer:

There are enough oysters

Step-by-step explanation:

Given

[tex]Volume = 18\ trillion\ gallon[/tex]

[tex]Area = 2867200\ acre[/tex]

[tex]1\ acre = 750000\ oysters[/tex]

[tex]1\ oyster = 50\ gallons[/tex]

Required

Determine if there is enough water for a day

We have:

[tex]1\ oyster = 50\ gallons[/tex]

Convert to oysters: multiply both sides by 750000

[tex]750000 * 1\ oyster = 50\ gallon *750000[/tex]

[tex]750000\ oysters = 37500000\ gallons[/tex]

Given that:

[tex]1\ acre = 750000\ oysters[/tex]

So, we have:

[tex]1\ acre= 37500000\ gallons[/tex]

Convert to acre: Multiply by 2867200

[tex]2867200 * 1\ acre= 37500000\ gallons * 2867200[/tex]

[tex]2867200\ acres= 107520000000000\ gallons[/tex]

By comparison:

[tex]18000000000000\ gallons < 107520000000000\ gallons[/tex]

i.e. the volume of water in the bay is less than the capacity of the oysters. Hence, there are enough oysters.

Answer:

[tex]\displaystyle x= \frac{y + 12}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle 3x - y = 12[/tex]

Step 2: Solve for x

Answer:

x =  y + 12 / 3

Step-by-step explanation:

3x - y =12

3x = y + 12

x = y + 12 / 3

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

This is made slightly more difficult by the fact that the given polynomials are not in order of decreasing powers of x. So, you need to be careful what you're adding, to make sure the terms are "like".

__

Add: (-2x² +3x +4) +(x² -4x -5) = (-2+1)x² +(3-4)x +(4-5) = -x² -x -1

Opp: -(3x² -x +1) = 3x² +x -1

Sub: (x² +3x -4) -(-2x² +4x -3) = (1-(-2))x² +(3-4)x +(-4-(-3)) = 3x² -x -1

Answer:

Just restart your computer

Answer:

(x-y)^2

p^2+p^2

Step-by-step explanation:

^2 means square

Answer:

see explanation

Step-by-step explanation:

x² - y² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

x² - y²

= (x - y)(x + y)

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

(p + p)²

= (2p)²

= 2p × 2p

= 4p²

Answer:  1 unit

Explanation:

The diameters are 6 and 8, which cut in half to 3 and 4 respectively.

The difference in these radii values is 4-3 = 1.

This is the distance from one circle's edge to the other circle's edge, such that we're on the same line that goes through the center of the circles. This is the gap width or ring width so to speak.

The polyhedron that Elias could have made is a TRIANGULAR BASED PRISM.

Triangular based prism are as described below:

A triangular-based prism is known to consists of 9 edges and 5 faces as shown in the diagram below.

Learn more here: https://brainly.com/question/16682058

Answer: c

Step-by-step explanation:

Answer:

373.3333... in^3

Step-by-step explanation:

V = lwh / 3

V = 10 * 8 * 14 / 3

V = 1120 / 3

V = 373.3333... in^3

I'm probably wrong, I haven't done volume in a looong time.

Answer:

1/6

Step-by-step explanation:

you divide y by x

y ÷ x

each column when you you divide y by x the answer is 1/6

Answer:

-25

Step-by-step explanation:

Withdrawal means to take out. So you're taking out $25 out of your account, therefore it would be a negative.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The integer to represent a withdrawal of $25 would be -$25.

Option A is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Amount withdrawal = $25

The integer to represent a withdrawal of $25 would be -$25.

Because withdrawal means we are taking the amount out of our account.

Thus,

The integer to represent a withdrawal of $25 would be -$25.

Option A is the correct answer.

Learn more about expressions here:

https://brainly.com/question/3118662

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Answer:

I CANT SEE THE QUESTION CAN U UPLOAD IT AGAIN

Step-by-step explanation:

Answer:

It's 46°

Step-by-step explanation:

[tex]m \angle AMY = 62 - 37 = 25 \degree[/tex]

[tex]m \angle CME = 159 - 138 = 21 \degree[/tex]

[tex]{ \tt{m \angle AMY + m \angle CME = 21 \degree + 25 \degree}} \\ { \tt{ = 46 \degree}}[/tex]

The sum of the angles m∠AMY and m∠CME is 83 degrees option (B) is correct.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

From the picture,

The measure of angle PMY = 62 degrees

The measure of angle PMA = 37 degrees

The measure of angle AMY = Angle PMY - Angle PMA = 62 - 37

= 25 degrees

Similarly,

Angle CME = 79 - 21 = 58 degrees

m∠AMY+m∠CME = 25 + 58 = 83 degrees.

Thus, the sum of the angles m∠AMY and m∠CME is 83 degrees option (B) is correct.

Learn more about the angle here:

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Answer:

B. First quartile

Step-by-step explanation:

The first quartile is the first 25% of a line graph, and the median of the lower half of a data set would be the median of the median, which means it would split the graph at 25%

Answer:

Is this answer correct.Does the anwer help you

Answer:

2.1

Step-by-step explanation:

The expected value of a probability is given by the formula:

E(x) = Σxp(x)

Therefore from the table showing the winnings of a game, the expected value of the probability distribution is:

E(x) = Σxp(x) = (0 * 0.5) + (2 * 0.2) + (4 * 0.15) + (6 * 0.1) + (10 * 0.05)

E(x) = 0 + 0.4 + 0.6 + 0.6 + 0.5 = 2.1

Hence we can conclude that the expected value of the winnings of the game is 2.1.

Answer:

3*6 × 3*-3 × 3*6

3*(6-3+6)

3*9

Answer:

E:0.9744

Step-by-step explanation:

Answer: E) 0.9744

Explanation:

This is something you'll need a calculator for. As far as I know, there isn't a clean formula that will allow you to compute this by hand, and get something like sqrt(3)/2. There is a way to find the decimal value by hand, but it will require knowledge of Taylor polynomials and it will take a very long while to compute the value. So again, it's better to use a calculator. When using a calculator, make sure it's in degree mode. You can check by computing cos(60) and you should get 0.5

Answer:

8

Step-by-step explanation:

x=16

x(16)-8=8

Answer:

B)

Step-by-step explanation:

exponential function given by:

[tex] \displaystyle f(x )= a \cdot{b}^{x} [/tex]

where:

since the function crosses y-axis at (0,4) point

to find a we can consider (1,8) point it tells us when x is 1 then y is 8 thus:

[tex] \displaystyle 8= 4 \cdot{b}^{1} [/tex]

[tex] \displaystyle 8= 4 \cdot{b}^{} [/tex]

divide both sides by 4:

[tex] \displaystyle \boxed{b = 2}[/tex]

altogether substitute:

[tex] \displaystyle f(x)= 4 \cdot{2}^{x} [/tex]

hence our answer is B)

Answer:

[tex]\sqrt[3]{4}[/tex]

Step-by-step explanation:

To solve this we need to take the square root of both sides with a certain degree.

[tex]4^6 = a^{18}[/tex]

We can take the root of both sides with a degree of 18.

[tex]\sqrt[18]{4^6} = \sqrt[18]{a^{18}} \\(4^6)^{\frac{1}{18} } = a\\a = 4^{\frac{6}{18} } = 4^{\frac{1}{3} } = \sqrt[3]{4}[/tex]

It's helpful to understand that when a number has its square root taken with some degree n. The square root can be represented as just the value raised to the (1/n) power.

It's also helpful to understand that when you raise something to the power of another power, you can simply multiply the powers together. For instance (2^3)^5 = 2^15

Answer:

hijjijkkkmmkmjjjjjjjjjijjji

Answer:

36)12(37)0.67

Step-by-step explanation:

36)A=base×height

A=2×6

A=12

37)A=a+b/2h

A=2+6/12

A=8/12

A=0.67