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3 years ago

8

What is the common ratio between successive terms in the sequence 2, 4, 8, -16, 32, -64

1 answer:

Simora [160]3 years ago

8 0

Answer:

this sequence has no common ratio

Step-by-step explanation:

The ratios of successive terms are ...

4/2 = 2

8/4 = 2

-16/8 = -2

32/-16 = -2

-64/32 = -2

2 is not the same as -2, so this sequence has no common ratio.

___

The sequence 2, -4, 8, -16, 32, -64 will have a common ratio of -2 using the same method to find it.

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What is 1/4=y/12 y=?

Alex_Xolod [135]

Answer:

3

Step-by-step explanation:

1/4 just scale up the 4 to a 12 4*3=12 so (1*3)/(4*3)=3/12=1/4

3 0

3 years ago

Suppose that 4 freshman, 5 sophomore, and 4 juniors have been nominated to receive a scholarship of $500, $250, and $100. How ma

Rudik [331]

Answer:

80 distributions of the three scholarship are possible.

Step-by-step explanation:

Given that 4 freshman, 5 sophomore, and 4 juniors have been nominated to receive a scholarship of $ 500, $ 250, and $ 100, to determine how many distributions of the three scholarship are possible if one scholarship is to be awarded to someone from each class you must perform the following calculation:

4 x 5 x 4 = X

20 x 4 = X

80 = X

Therefore, 80 distributions of the three scholarship are possible.

7 0

3 years ago

An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial co

Blizzard [7]

Answer:

$(a)$ $C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ $x=82 \text{planes}$

$(c)$ $p=\$30.91 M\;\; \text{per plane}$

$(d)$ maximum profit $=\$ 15.90M$

Step-by-step explanation:

Given that,

The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.

The additional cost of manufacturing each plane can be modelled by the function.

$m(x)=20x-5x^{\frac{3}{4}}+0.01x^2$

$(a)$ Find the cost, demand (or price), and revenue functions.

$C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ Find the production level that maximizes profit.

$f=R(x)-C(x)$

$\Rightarrow f=320p-7.7p^2-(500+20x-5x^{\frac{3}{4}}+0.01x^2)$

$\Rightarrow df=320dp-15.4pdp-20dx+5(\frac{3}{4} )x^{\frac{-1}{4} }dx-0.02xdx$

$x=320-7.7p$

$p=\frac{320-x}{7.7}$

$\frac{dp}{dx} = \frac{-1}{7.7}$

$\frac{df}{dx}=\frac{320}{-7.7} -\frac{15.4(320-x) }{7.7(\frac{-1}{7.7} )}-20+5\frac{3}{4} x^{\frac{-1}{4}} -0.02x=0$

$\Rightarrow -41.5584+83.1169-0.2597x-20+3.75x^{\frac{-1}{4} }-0.02x=0$

$\Rightarrow 21.5585+3.75x^{\frac{-1}{4} }-0.279x=0$

$\Rightarrow x=82 \text{planes}$

$(c)$ Find the associated selling price of the aircraft that maximizes profit.

$p=\frac{320-82}{7.7}$

$\Rightarrow p=\$30.91 M\;\; \text{per plane}$

$(d)$ Find the maximum profit.

Manufacturing cost of one plane is:

$m(1)=20-5+0.01$

$=\$15.01 M$

maximum profit $=\$(30.91-15.01)M$

$=\$15.90M$

3 0

3 years ago

Use the cubic model y = 5x3 to estimate the value of y when x = 8.

Ksivusya [100]

Answer:

The value would be 2560.

Step-by-step explanation:

In order to evaluate this expression, simply put the 8 in for x and simplify.

y = 5x^3

y = 5(8)^3

y = 5(512)

y = 2560

4 0

3 years ago

What is the answer to number 3? (Numerical Representations)

Dominik [7]

Answer:

Step-by-step explanation:

A it the answer why cuz tusday is the lowest and it's 3.4 and the rest are geater than tusday

3 0

2 years ago

Read 2 more answers