MATHEMATICS MIDDLE SCHOOL

Brian drove 120 miles at speed of 60 miles per hour. He drove the same distance back home at average speed of 40 miles per hour. What is his average speed?

Answers

Answer 1

Answer:

Average speed = Total distance/Total time.

First drive:

120/60=2 (distance/rate=time)

Second drive:

120/40=3 (distance/rate=time)

Average:

Total time=120+120=240

Total time=3+2=5

Average speed = Total distance/Total time=240/5=48

His average speed was 48 mph.

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Graph f(x) = (1/3)^x+1

Answers

Answer:

The graph is attached below.

Step-by-step explanation:

Given the function

$f\left(x\right)\:=\:\left(1/3\right)^x+1$

Exponentiation function have a horizontal Asymptotes.

Finding the horizontal Asymptotes

$\mathrm{Exponential\:function\:of\:the\:form}\:f\left(x\right)\:=c\cdot \:n^(ax+b)+k\:$

$\mathrm{has\:a\:horizontal\:asymptote}\:y=k\:$

$k=1$

$\mathrm{The\:horizontal\:asymptote\:is:}$

$y=1$

Finding y-intercepts

$y\mathrm{-intercept\:is\:the\:point\:on\:the\:graph\:where\:}x=0$

$y=\left((1)/(3)\right)^0+1$

$\mathrm{Apply\:rule}\:a^0=1,\:a\ne \:0$

$\left((1)/(3)\right)^0=1$

$y=1+1$

$\mathrm{Add\:the\:numbers:}\:1+1=2$

$y=2$

$\mathrm{Y\:Intercepts}:\:\left(0,\:2\right)$

The graph is attached below.

Show the numbers 0.29,0.2,1/4,1/10,and 16% from least to greatest

Answers

1/10, 16%, 0.2, 1/4, 0.29

Is 0.015625 between 0 and 1 ?

Answers

yes, because if you round up or round down it'll be 0.02 or 0.01.
If you put them on the number line, it'll between 0 and 1.

These too please i’ll cry if i don’t figure this out

Answers

Answer:

PO = 11, LQ = 4, NQ = 12, perimeter of NLP = 24

Step-by-step explanation:

The centroid is the point where the medians intersect each other.

A median divides the side it intersects in 2 equal parts.

So, if NP = 11, then PO = 11

The medians of a triangle intersect each other in the ratio 2:1

So, if NL = 8, then LQ = 4 and NQ = 8+4 = 12

if ML = 10, LP = 5

Finally, the perimeter of the triangle NLP is

NL + NP + LP = 8 + 11 + 5 = 24

I should know this, but i'm really stumped, I keep getting different answers.z ÷ 4 – 8z + 2(z – 5) when z = 12

Answers

z/4-8z+2(z-5)=12/4-8*12+2(12-5)=3-96+2*7=3-96+14=-79

If $535 is invested at an interest rate of 6% per year and is compounded continuously, how much will the investment be worth in 10 years?$1307.12
$974.83
$973.38
$403.43

Answers

A = Pe^rt , e = 2.718

A = 535 * (2.718)^(10 * 0.06)
A = 974.83

answer is $974.83

Compound Interest can be defined as the interest that is accumulated on a particular sum of money or investment after a given period of time.

The investment will be worth $974.83 in 10 years.

The formula to solve for the amount an investment will be worth if it is compounded continuously is given as:

A = Pe^rt

P = Principal = $535

R = Interest rate = 10%

T = Time in years = 10 years

First, convert R as a percent to r as a decimal

r = R/100

r = 6/100

r = 0.06 rate per year,

Then solve the equation for A

A = Pe^rt