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3 years ago

1) Ay X 1 A) Nin B) -2 2 C) D) 2. 2

Mathematics

1 answer:

laila [671]3 years ago

8 0

Answer:

A) -1/2

Step-by-step explanation:

the slope is defined by the ratio of y/x.

that means that for a change of a certain number of units in x, y changes this number of units.

e.g. a slope of 5/3 means, if x changes by 3 units, y changes by 5.

the graphic shows a line that goes "down" with increasing x.

that means the slope is negative.

that eliminates C and D.

and we see that when x increases by 2 units, y decreases by 1 unit.

that means the slope is -1/2.

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The side of the base of a square prism is increasing at a rate of 5 meters per second and the height of the prism as decreasing

mars1129 [50]

Answer:

D. 348

Step-by-step explanation:

The volume of the square prisma is given by the following formula:

$V = s^{2}h$

In which h is the height, and s is the side of the base.

Let's use implicit derivatives to solve this problem:

$\frac{dV}{dt} = 2sh\frac{ds}{dt} + s^{2}\frac{dh}{dt}$

In this problem, we have that:

$\frac{ds}{dt} = 5, \frac{dh}{dt} = -2, h = 7, s = 6$

$\frac{dV}{dt} = 2sh\frac{ds}{dt} + s^{2}\frac{dh}{dt}$

$\frac{dV}{dt} = 2*6*7*5 + (6)^{2}*(-2) = 348$

So the correct answer is:

D. 348

4 0

4 years ago

3x+2x-13=47 solve for x <br><br> Please show the work

MakcuM [25]

3x+2x-13=47
5x-13=47
5x=60
x=12

4 0

3 years ago

HELP ME ASAP (yes im saying asap a lot cuz im hurried)

goldfiish [28.3K]

C because you take the -4 and change it to a +4, take that to the other side, add it to 7, therefore g=11

4 0

4 years ago

Read 2 more answers

The formula Upper A equals 23.1 e Superscript 0.0152 tA=23.1e0.0152t models the population of a US state, A, in millions, t ye

Wewaii [24]

Answer:

a) $A(t=0)= 23.1 e^{0.0152(0)}=23.1e^0 =23.1$

b) $t = \frac{ln(\frac{28.3}{23.1})}{0.0152}=13.357 years$

So for this case the answer would be 13.347 years, the population will be 28.3 million and ye year would be 2000+13.347 and that would be approximately in 2014

Step-by-step explanation:

For this case we assume the following model:

$A(t)= 23.1 e^{0.0152 t}$

Where t is the number of years after 2000/

Part a

For this case we want the population for 2000 and on this case the value of t=0 since we have 0 years after 2000. If we rpelace into the model we got:

$A(t=0)= 23.1 e^{0.0152(0)}=23.1e^0 =23.1$

So then the initial population at year 2000 is 23.1 million of people.

Part b

For this case we want to find the time t whn the population is 28.3 million.

So we need to solve this equation:

$28.3= 23.1 e^{0.0152(t)}$

We can divide both sides by 23.1 and we got:

$\frac{28.3}{23.1}= e^{0.0152t}$

Now we can apply natural log on both sides and we got:

$ln(\frac{28.3}{23.1})= 0.0152 t$

And then for t we got:

$t = \frac{ln(\frac{28.3}{23.1})}{0.0152}=13.357 years$

So for this case the answer would be 13.347 years, the population will be 28.3 million and ye year would be 2000+13.347 and that would be approximately in 2014

3 0

3 years ago

Anthony purchased 4 burgers for 4.60. Based on this rate, how much would one burger cost?

Vladimir [108]

All you need to do is divide 4.60 by 4

5 0

4 years ago

Read 2 more answers