is this a function or not?

The 15th term of the geometric progression is 9,565,94.

A geometric progression can be expressed as an = a1rn-1 for some a1 and r. You are told that a2 * a4 = 2a5 and a1 + a2 + a3 + a4 = 80.

From the first equation, a2 = a1 r, a4 = a1 r3, and a5 = a1 r4. This tells us that

a1 r a1 r3 = 2 a1 r4

The r's and one a1 cancel leaving a1 = 2.

Now, plugging similarly into a1 + a2 + a3 + a4 = 80,

2 + 2r + 2r2 + 2r3 = 80

r3 + r2 + r + 1 = 40

In general, the easiest way to solve a cubic is by graphing, but here you know the answer will be a small integer, so just try a few. If we try r=3, we get 27 + 9 + 3 + 1 = 40 so r = 3.

So the geometric sequence here is an = 2 3n-1. The 15th term is then:

a15 = 2*3^14

a15 = 9,565,938.

Full question:

A G.P, the product of the 2nd and the 4th term is double the 5th term, and the sum of the first 4th terms is 80. find the 15th term.

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Answer:

M/140 = 50/60

Step-by-step explanation:

Since the total is 200 it will be the denominator but we already have 60 gallons so we do 200-60=140

the ratio is 50 per 60

Answer:

indecsaty

Step-by-step explanation:

the indecsaty of the line more known as a slope is the other name

Answer:

$7.50/lb    answer A is correct

Step-by-step explanation:

Find the unit cost:  $ per pound:

 Calculate

      $3.00

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

   (2/5) lb

It's slightly easier to calculate the equivalent

 $3.00

------------- = $7.50/lb    answer A is correct

 0.4 lb

Answer: D. $1.20 per pound

Step-by-step explanation:

Because 2/5= 0.4 in a decimal form.

If you multiply 0.4 times 3= 1.2 just that in D they are adding a zero (0).

1.20= 1.2

Answer:

14 miles

Step-by-step explanation:

make it into an equation 1.50x+3=24 then solve

Answer:

see below

Step-by-step explanation:

1.    0 < √8 = true

2.   √8 < 3 = true

3.   √8 > √7 = true

4.   √8 < 2 = false

5.   √8 > 8 = false

6.    1 < √8 = true

Inequalities help us to compare two unequal expressions. The inequalities that are true are 1, 2, 3 and 6.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The value of √8 is equal to 2.828427, therefore, the inequalities that are true are,

Hence, the inequalities that are true are 1, 2, 3 and 6.

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the correct answer is c. hope this helped

Answer:

Slope intercept equation= y2-y1 over x2-x1

When to use= You know the slope and any point

Answer:

The Left side (0) is greater then the right side (-15)

Step-by-step explanation:

(x - 3) is greater than -3(3+2)

0.8 Outlier

1.1 Outlier

10.2 Not Outlier

10.9 Not Outlier  

Answer:

9

Step-by-step explanation:

Answer:

The answer is B.200

Step-by-step explanation:

145.93×1.37=199.9

We need to multiply because the second team takes the times as longer than the first team. The answer is 200 because we need to roundup 199.9 into 200

Hope it helps :)

Answer:

5π

Step-by-step explanation:

Arc length = 1/4 * circumference

Circumference = 2*pi*r = 2*pi*10 = 20pi

Arc length = 1/4 * 20pi = 5pi

Answer:

D

Step-by-step explanation:

Angle Side Angle

Total questions, T = 50.

Colin thought 8 questions were right.

Colin got 5 questions right that he thought he got wrong.

Total score, s = 45.

So, actual number of questions which are wrong are 5.

Score according to him = 50 - 8 = 42.

Now, we know percentage accuracy is given by :

[tex]\% =100- \dfrac{|Actual\ value-Theoretical\ value|}{Actual\ Vlaue}\times 100\\\\\%=100-\dfrac{|45-42|}{42}\times 100\\\\\%=100-7.14 \%\\\\\%=92.86\%[/tex]

Therefore, percentage accuracy he had with predicting his scores is 92.86%.

Hence, this is the required solution.

Answer:

she is running at a constant speed

Step-by-step explanation:

the bar is still because she isnt going faster or slowing down she is constant

Answer:

D: She is at a constant speed.

Step-by-step explanation:

she is not acceleraring or decelerating, so her speed is constant

Answer:

D. 6,400

Step-by-step explanation:

I got it right

The fish population at the beginning of 2012 is 100.

A fish population, p, can be represented by the equation;

[tex]\rm P =800 \left (\dfrac{1}{2} \right)^t[/tex]

Where t is time in years since the beginning of 2015.

The expression represents the number of population in the year 2015 so first take the difference between the year 2015 and 2012 which is 3 then substitute the 3 in the given equation and solve.

The difference between year 2015 and 2012 is;

t = 2015 - 2012 = 3

Substitute the value of t in the equation

[tex]\rm P =800 \left (\dfrac{1}{2} \right)^t\\\\\rm P =800 \left (\dfrac{1}{2} \right)^3\\\\P = 800 \times \dfrac{1}{8}\\\\P = 100[/tex]

Hence, the fish population at the beginning of 2012 is 100.

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Answer:

a) draw the triangle using the graph points

b) move the triangle 3 points to the left and 1 point down

c) translation

d) draw this shape

e) write down the coordinates

Step-by-step explanation:

The x-3 in translation tells you to move 3 squares to the left along the x axis in translation and y-1 tells you to move down one on the y axis.

Find the GCF(Greatest Common Factor) of 42 and 70: 14

Divide numerator and denominator by the GCF.

42 ÷ 14 = 3

70 ÷ 14 = 5

3/5

Answer:

3/5

Step-by-step explanation:

Think of the GCF of 42 and 70

which is 14 divide by 14 which you will get 3/5

(Alternate method)

If you don't know how to do that I will try to divide by the prime numbers like: 2,3,5,7 etc

until you get to a answer that can't be divided anymore

Hope this helps!

Answer:

Continuous graphs have all real numbers

Discrete graphs have whole numbers

Step-by-step explanation:

Answer:

3x+1

Step-by-step explanation:

(2x+x+3+6x)/3

9x+3/3

3x+1

The final result is a simplified algebraic expression 3x + 1 that represents the average of 2x, x + 3, and 6x.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The average of 2x, x + 3, and 6x can be represented by the algebraic expression (2x + (x + 3) + 6x)/3.

This expression takes the sum of 2x, x + 3, and 6x, and then divides that sum by 3, which is the number of terms being averaged.

Alternatively, the average can be represented by (2x + x + 6x + 3) / 3 = (9x + 3) / 3 = 3x + 1.

In either case, the final result is a simplified algebraic expression that represents the average of 2x, x + 3, and 6x.

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Answer:

60

Step-by-step explanation:

.6 x 100 = 60

The key word here is "may" meaning that we could easily have 3 rational roots as well. An example of a cubic having 3 irrational roots would be

(x-1)(x-2)(x-3) = x³ - 6x² + 11x - 6

This has the rational roots x = 1, x = 2, x = 3.

However, we could easily replace 1,2,3 with any irrational numbers we want. So that's why the statement "a cubic has three irrational roots" is sometimes true.

In some cases, a cubic may only have 1 real root and the other 2 roots are imaginary.

Answer:

$0. 25

Step-by-step explanation:

2. 95 ÷ 12 = 0.24583333

Round the number and you would get

0. 25

Answer:

D. $0.25

Step-by-step explanation:

the whole pack costs $2.95 and there are 12 sticks, so you divide the total cost ($2.95) by the amount of sticks (12) and get the answer $0.2458, or $0.25 rounded up. :)