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4 years ago

-1 2/3 divided by (-2 1/5)

Mathematics

1 answer:

Lelechka [254]4 years ago

4 0

Answer:

25/33

Step-by-step explanation:

-1 2/3 ÷ ( -2 1/5)

Change from mixed number to improper fraction

- ( 3*1 + 2) /3 ÷ - ( 5*2+1) /5

-5/3 ÷ -11/5

Copy dot flip

-5/3 * -5/11

25/33

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Lightning mcqueen was traveling at a high speed of 110 mph. If he traveled 275 miles, how long was his trip

stira [4]

Answer:

2 hours 30 minutes

Step-by-step explanation:

Given data

speed= 110mph

distance travelled= 275miles

Required

the time of travel

We know that

Speed= distance/time

time= distance/speed

time= 275/110

time=2.5 hours

Hence the time is 2 hours 30 minutes

7 0

3 years ago

Helppp please quick enough points

nevsk [136]

<h3>Geometric Sequence: a(r)ⁿ⁻¹</h3>

1) a₁ = 2, r = 3

a) First five terms: 2, 6, 18, 54, 162

b) nth term: 2(3)ⁿ⁻¹

c) The 10th term: 2(3)¹⁰⁻¹ = 39366

2) a₁ = 243, r = 1/3

a) First five terms: 243, 81, 27, 9, 3

b) nth term: 243(1/3)ⁿ⁻¹

c) The 10th term: 1/81

3) a₁ = 6, r = 2

a) First five terms: 6, 12, 24, 48, 96

b) nth term: 6(2)ⁿ⁻¹

c) The 10th term: 3072

4) a₁ = 5, r = -1/10

a) First five terms: 5, -1/2, 1/20, -1/200, 1/2000

b) nth term: 5(-1/10)ⁿ⁻¹

c) The 10th term: -5 × 10⁻⁹

5 0

2 years ago

Find the value of the sine for angle A

andrew11 [14]

Answer:

Step-by-step explanation:

sin=opposite/Hypotonouse

80²+60²=hyp²

hyp=100

sinФ=60/100=3/5

6 0

3 years ago

Read 2 more answers

Mean Value theorem help! BRAINLIEST if you can explain it clearly!!!

Korolek [52]

$\bf f(x)=ln(x-5)\qquad [6,8]\qquad \cfrac{df}{dx}=\cfrac{1}{x-5}\\\\
-----------------------------\\\\
\textit{mean value theorem}\qquad f'(c)=\cfrac{f(b)-f(a)}{b-a}\\\\
-----------------------------\\\\
f'(c)=\cfrac{1}{c-5}\qquad thus\quad \cfrac{1}{c-5}=\cfrac{f(8)-f(6)}{8-6}
\\\\\\
\cfrac{1}{c-5}=\cfrac{ln(3)-ln(1)}{2}\implies \cfrac{1}{c-5}=\cfrac{ln(3)-0}{2}
\\\\\\
\cfrac{2}{ln(3)}=c-5\implies \boxed{\cfrac{2}{ln(3)}+5=c}$

7 0

4 years ago

Find the annual percentage yield (APY) in the following situation. A bank offers an APR of 4.8% compounded daily. The annual per

sweet-ann [11.9K]

Answer:

4.92%

Step-by-step explanation:

First of all, recall that if you increase a number C in x%, then you will have $C+\frac{x}{100}C=C(1+\frac{x}{100})$

So <em>increasing a number in x% is equivalent to multiply it by (1+x/100) </em>

Now, suppose you have deposited $C where C is any amount > 0

If the bank offers an APR of 4.8% compounded daily, it means that your money increases $\frac{4.8}{365}\%=\frac{0.048}{365}$ daily.

So, after 365 days you will have

C multiplied by (1+0.048/365) 356 times, that is

(1) $C(1+\frac{0.048}{365})^{365}=C(\frac{365.048}{365})^{365}$

Now, you want to find a value x, such that C increased in x% equals the amount in (1).That would be the percentage your money increased in one year (APY)

$C(\frac{365.048}{365})^{365}=C(1+\frac{x}{100})\Rightarrow x=100[(\frac{365.048}{365})^{365}-1]$

Computing this amount, we get

x = 4.92 rounded to the nearest hundreth.

And the bank is offering an APY of 4.92%

7 0

3 years ago