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2 years ago

Which is the 10th term of the geometric sequence 1/27, 1/9, 1/3, 1,

1 answer:

5 0

The sequence is being multiplied by three for ever term.
If you multiply 1 by 3, the result will be 3. Keep on multiplying each term by three and you'll find that the 10th term is 729

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27. Write down the co-ordinates of the points where the line y = 4x - 3 cuts the x-axis <br>

Tamiku [17]

Step-by-step explanation:

it is a line, so that is 1 point, where it cuts the x-axis.

in general that means y = 0.

so,

0 = 4x - 3

4x = 3

x = 3/4

the point, where the line cuts the x-axis is

(3/4, 0)

6 0

9 months ago

A 50 foot rope weighing a total of 32 lbs extended over a cliff that is 35 feet to the ground. A large 8 pound bucket with 19 ga

larisa86 [58]

Answer:

A function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is $W=16(50-x)+(19-\frac{x}{5})(8.3)x$ and the work to get the bucket to the top of the cliff is 3726 foot-lbs

Step-by-step explanation:

Work done to lift the rope by distance x feet:

$W_1=32(\frac{50-x}{2})$

Work done to lift the bucket by distance x feet:

$W_2=(19-\frac{x}{5})(8.3)x$

On reaching top 7 gallons of water spilled out so , on going up by x feet $\frac{7x}{35}=\frac{x}{5}$ gallons of water spilled out.

a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground:

$W=16(50-x)+(19-\frac{x}{5})(8.3)x$

Now the work to get the bucket to the top of the cliff i.e. x =35

$W=16(50-35)+(19-\frac{35}{5})(8.3)(35)$

W=3726

Hence, a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is $W=16(50-x)+(19-\frac{x}{5})(8.3)x$ and the work to get the bucket to the top of the cliff is 3726 foot-lbs

5 0

2 years ago

Ashley is preparing for a horse riding competition. She has trained her horse for 5 hours and has completed 165 rounds. At what

Oliga [24]

Answer:33

Step-by-step explanation:

3 0

2 years ago

If Ryan uses only 3/8 cup syrup out of the giant bottle each time he eats pancakes, how many times will he be able to eat pancak

elena55 [62]

Answer:

128 times

Step-by-step explanation:

Total cups = volume per meal × no. of meals

C = V × n

Divide each side by V

n = C/V = 48/(⅜)

Invert the fraction and multiply

n = 48 × ⁸/₃

Cancel 3s

n = 16 × 8

Multiply

n = 128

Ryan can eat pancakes 128 times from his giant bottle without running out of syrup.

8 0

2 years ago

What is the equation of g(x)?

Ksenya-84 [330]

Answer:

$g(x)=10^{x-3}$

Step-by-step explanation:

Notice that function $g(x)$ has the exat shape of function $f(x)$ , and it has just be translated to the right by 3 whole units.

Recall that horizontal translations to the right involve subtracting the number of units moved in the translation from the variable "x". therefore, in our case this means:

$f(x)=10^x\\g(x)=10^{x-3}$

4 0

2 years ago