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4 years ago

Determine the function

Mathematics

1 answer:

zalisa [80]4 years ago

5 0

For each increment in x, the output is multiplied by 2. The function could be written the way a geometric sequence can be written:

... f(x) = 5·2^(x-1)

Or, it could be simplified to ...

... f(x) = (5/2)·2^x

The first 5 terms will be

... 5, 10, 20, 40, 80

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suppose you go to a concert and purchase 3 identical t-shirts and a hat. the hat cost $21 and you spend $60 in all how much does

Marianna [84]

Ok, first you subtract 21 from 60.
That gives you 39, so you then divide that by 3.
That gives you 13, so each t-shirt cost $13.
Hope this helps

3 0

4 years ago

Read 2 more answers

A penguin can dive 48 meters below the surface of the water to reach a fish. It dives 2% of the total depth every 1 second. What

Brut [27]

Answer:

A. -3.84 meters

Step-by-step explanation:

Given:

A penguin can dive 2% of the total depth every 1 second.

Total depth = 48 meters.

Now we have to find 2% of 48.

= $\frac{2}{100} .48$

= $\frac{96}{100}$

= 0.96 meter

So, the penguin dives -0.96 meters per seconds down the water.

The negative sign represents below the surface of the water.

The total depth of the penguin after 4 seconds = 4 times -0.96

= -3.84 meters

Therefore, the answer is A. -3.84 meters

7 0

3 years ago

1. If x = 2 and 3x + y = 5, what is the value of y?

Flura [38]

Answer:

y = -1

Step-by-step explanation:

3(2) + y = 5

6 + y = 5

-6

y = 5 -6

y = -1

3 0

3 years ago

Read 2 more answers

Can you people help me

wlad13 [49]

Yes . The answer is 30 , bby the30 power

4 0

3 years ago

Read 2 more answers

*The length of the shorter altitude and the shorter side of a parallelogram are 9cm and 82 cm. The length of a longer diagonal i

Alja [10]

Refer to the image attached.

Given: Altitude AC = 9 cm, Diagonal AD = 15 cm, side AB = 82 cm.

To find: Area of parallelogram

Solution:

Since, area of parallelogram = base $\times$ height

= $BD \times AC$

We have to determine the base BD.

Consider the triangle ABC,

by Pythagoras theorem,

$(AB)^2 = (BC)^2 + (AC)^2$

$(82)^2 = (BC)^2 + (9)^2$

$6724-81= (BC)^2$

BC = 81.5 cm

Now, Consider the triangle ACD,

by Pythagoras theorem,

$(AD)^2 = (AC)^2 + (CD)^2$

$(15)^2 = (9)^2 + (CD)^2$

$225-81= (CD)^2$

CD = 12 cm

Now, base BD = BC + CD

= 81.5+12

= 93.5 cm

Area of parallelogram = BD $\times AC$

= 93.5 x 9

= 841.5 square centimeters.

Therefore, the area of parallelogram is 841.5 square centimeters.

6 0

3 years ago