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ad-work [718]
2 years ago
5

1/6,1/9,2/27,4/81 geometric sequence next value?

Mathematics
2 answers:
Flura [38]2 years ago
5 0
The common ratio for this geometric sequence is 2/3. Every value is 2/3 the previous value.
So, to get the next value, we must multiply 4/81 * 2/3 = 8/243.
Blababa [14]2 years ago
3 0
If you would like to know the next value, you can calculate this using the following steps:

1/6, 1/9, 2/27, 4/81, x = ?

1/9 / 1/6 = 1/9 * 6 = 6/9 = 2/3

So, if we would like to know what is the next value of this geometric sequence, you have to multiply 4/81 by 2/3:
4/81 * 2/3 = 8/243

The correct result would be 8/243.
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A cake manufacturer boxes Swiss chocolate and German chocolate cakes at one site. A box of Swiss chocolate cake contains 0.55 lb
Kobotan [32]

Answer:

2,500 German chocolate cake boxes.

1,500 Swiss chocolate cake boxes.

Step-by-step explanation:

Let 'S' be the number of Swiss chocolate cakes boxed and 'G' the number of German cholocate cakes boxed. If all of the available ingredients are used:

0.55*S +0.59*G = 2,300\\0.45*S+0.41*G = 1,700

Solving the linear system above:

(0.55 *S +0.59*G)- \frac{0.55}{0.45} (0.45*S+0.41*G)= 2,300-\frac{0.55}{0.45}*1,700*\\0.088888*G = 222.222\\G=2,500\\S =\frac{2,300-2,500*0.59}{0.55}\\S=1500

2,500 German chocolate cake boxes and 1,500 Swiss chocolate cake boxes can be made each day.

6 0
2 years ago
Tyrone's hourly wage is $18 and his net pay is 72% of his earnings Tyrone spends about $1800 on his monthly expenses if Tyrone w
allsm [11]

Answer:

The monthly cash inflow is $273.6

Step-by-step explanation:

It is given that hourly wage is $18 and his net pay is 72% of his earnings.

First, calculate the 72% of $18.

72% of his earnings is \$18\times \frac{ 72}{100}= \$12.96.

Tyrone works 40 hours per week .

The number of working hours in a month is: 40\times4=160 \text{ hours}

For 1 hour is he was getting $12.96.

For 160 hours he will get: 160\times 12.96=\$2073.6

His total monthly cash inflow is $2073.6 - $1,800=$273.6

Hence, the monthly cash inflow is $273.6

5 0
2 years ago
A company sells cereal in two different -sized boxes.The smaller box has the dimensions of 12-inch,2-inch and 7 3/4 i.The height
Nastasia [14]
We will take the volume of each box separately to find the difference between them.
 We have then that the volume of the boxes is:
 V = (L) * (W) * (h)
 Where,
 L: long
 W: width
 h: height
 The smaller box:
 V1 = (12) * (2) * (7 3/4)
 V1 = 186 in ^ 3
 the lager box:
 V2 = (12) * (2) * ((7 3/4) * (100/80))
 V2 = 232.5 in ^ 3
 The difference is:
 V2-V1 = 232.5 in ^ 3 - 186 in ^ 3 = 46.5 in ^ 3
 Answer:
 The difference in the volumes of the two boxes is:
 46.5 in ^ 3
5 0
2 years ago
Read 2 more answers
A polynomial function has a root of -4 with multiplicity of 4, a root of -1 with multiplicity of 3, and a root of 5 with multipl
Dmitrij [34]

Answer:

To draw this graph, we start from the left in quadrant 3 drawing the curve to -4 on the x-axis to touch it but not cross. We continue back down and curve back around to cross the x-axis at -1. We continue up past -1 and curve back down to 5 on the x-axis. We touch here without crossing and draw the rest of our function heading back up. It should form a sideways s shape.


Step-by-step explanation:


A polynomials is an equation with many terms whose leading term is the highest exponent known as degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.


This polynomial has roots -4, -1, and 5. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or the simple touch it and bounce back? The even or odd multiplicity - how many times the root occurs.


In this polynomial:


Root -4 has even multiplicity of 4 so it only touches and does not cross through.


Root -1 has odd multiplicity of 3 so crosses through.


Root 5 has even multiplicity of 6 so it only touches and does not cross through.


Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends point down. All even degree graphs will have this shape.


To draw this graph, we start from the left in quadrant 3 drawing the curve to -4 on the x-axis to touch it but not cross. We continue back down and curve back around to cross the x-axis at -1. We continue up past -1 and curve back down to 5 on the x-axis. We touch here without crossing and draw the rest of our function heading back up. It should form a sideways s shape.

7 0
2 years ago
Read 2 more answers
last year chesa made 32-cups servings of soup for a school party.this year she will make two times the amount of soup that she m
Fed [463]
32x2 = 64

64 cups = 4 gallons
8 0
2 years ago
Read 2 more answers
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