<img src="https://tex.z-dn.net/?f=p%5E%7B2%7Dxp%5E%7B2%7D" id="TexFormula1" title="p^{2}xp^{2}" alt="p^{2}xp^{2}" align="absmidd

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lys-0071 [83]

2 years ago

le" class="latex-formula">

Mathematics

2 answers:

Dmitry_Shevchenko [17]2 years ago

6 0

He right from step to step

vichka [17]2 years ago

5 0

Answer:

${p}^{4} x$

Step-by-step explanation:

1) Regroup terms.

${p}^{2} p^{2} x$

2) Use product rule.

${p}^{2 + 2} x$

3) Simplify 2 × 2 to 4.

$p ^{4} x$

Therefor, the answer is p⁴x

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Chad is driving 56 miles per hour. Chad drove 168 miles in 3 hours.Chad will drive 672 more miles. He continues to drive at the

shusha [124]

So, 672 miles divided by 56 miles per hour = 12 hours

6 0

3 years ago

Can someone please help me

Airida [17]

Step-by-step explanation:

it is a simple addition and subtraction sequence :

10 + 0 + -21 + 14 = 3

since the result is positive, it is overall a gain.

if the result were negative, it would be an overall loss.

so, he had an overall gain of 3 yards.

5 0

2 years ago

-4x - 10x<br> Combine Like Terms

kondaur [170]

Answer:

-14x

Step-by-step explanation:

-4x+-10x =-14x

5 0

3 years ago

Read 2 more answers

Given f(x)=1/x+5 and g(x)=x-2

vladimir1956 [14]

For this case we have the following functions:

$f (x) = \frac {1} {x + 5}\\g (x) = x-2$

We must find f (g (x)). So:

$f (g (x)) = \frac {1} {(x-2) +5} = \frac {1} {x-2 + 5} = \frac {1} {x + 3}$

Finally we have to:

$f (g (x)) = \frac {1} {x + 3}$

For the function to be defined the denominator must be different from 0. That is x different from -3.

Answer:

Option B

3 0

3 years ago

A person invest $1200 in an account that earns 2% interest compound quarterly. Find when the value of the investment reaches $15

Basile [38]

Answer:

After 11 years the value of the investment reaches $1500.00

Step-by-step explanation:

The formula used for finding time (when the value reaches certain amount) is:

$A= P(1+\frac{r}{n})^{nt}$

where A= Future VAlue

P= Principal Value

r= rate of interest (in decimal)

n= no of times investment is compounded

t= time

Putting the values given and finding Time t,

A= $1500

P= $1200

r= 2% or 0.02

n= 4 (compound quarterly)

$A= P(1+\frac{r}{n})^{nt}$

$1500= 1200(1+\frac{0.02}{4})^{4t}$

Dividing both sides by 1200 and solving 0.02/4 = 0.005

$1.25= (1+0.005)^{4t}$

$1.25= (1.005)^{4t}$

Since t is in power we take the logarithm ln on both sides.

The rule of logarithm says that the exponent can be multiplied with the base when taking log

$\ln1.25=ln( 1.005)^{4t}\\\ln1.25=4t * ln( 1.005)\\0.22 = 4t * 0.005\\Solving\,\,\\\frac{0.22}{4*0.005} = t\\=> t= 11\, years$

8 0

3 years ago