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2 years ago

A phone company has a monthly data plan where a customer pays flat monthly fee of

Mathematics

1 answer:

NeTakaya2 years ago

3 0

A- 1gb=3$ 30$+(3*gb used)= total

B- 30$+(3*10)= 60$

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it takes the earth 24 hours to complete a full rotation it takes Saturn 10 hours and 39 seconds to complete a full rotation how

OLEGan [10]

we know that

1 hour is--------> 60 minutes

1 minute is---------> 60 sec

10 hour =10*60=600 minutes

39 sec=39/60=0.65 min

10 h 39 sec=600+0.65=600.65 min

therefore

<u>the answer is</u>

600.65 minutes

7 0

2 years ago

Q1.Simplify:

solniwko [45]

$\textbf{(i)}\\\\\{1^3 +2^3 \} \times \left(\dfrac 13 \right)^2\\\\=(1+8) \left(\dfrac 19 \right)\\\\=9\left(\dfrac 19 \right)\\\\=1\\\\$

$\textbf{(ii)}\\\\\{5^{-1}\times 4^{-1}\}^2\\\\=\left(5^{-1} \right)^2 \times \left(4^{-1} \right)^2~~~~~~~~~~~;[(ab)^m = a^mb^m]\\\\=5^{-2}\times 4^{-2}~~~~~~~~~~~~~~~~~~~~;[(a^m)^n = a^{mn}]\\\\=\dfrac 1{5^2} \times \dfrac 1{4^2}~~~~~~~~~~~~~~~~~~~~~~;\left[a^{-m} = \dfrac 1{a^m},~ a\neq 0 \right]\\\\=\dfrac{1}{400}\\\\=0.0025\\\\$

$\textbf{(iii)}\\\\\left\{ \left(\dfrac 13 \right)^{-2} \times \left( \dfrac 12 \right)^{-2}\right\}\div \left(\dfrac 14 \right)^{-3}\\\\\\=\left( \dfrac 13 \times \dfrac 12 \right)^{-2} \div\left(4^{-1}\right)^{-3}\\\\\\=\left(\dfrac 16 \right)^{-2} \div 4^3\\\\\\=\left(6^{-1} \right)^{-2}\div 4^3\\\\\\=6^2 \div 4^3\\\\\\=36\div 64\\\\\\=\dfrac{9}{16}\\\\\\=0.5625$

6 0

2 years ago

Read 2 more answers

Need help with this getting the answer for this question

mafiozo [28]

Answer:

x= 0.965

Step-by-step explanation:

the question if from trigonometry chapter

here with the formula I shared below

opposite/hypotenuse = sin( 16° )

opposite,x = sin( 16° )*3.5

0.965

4 0

1 year ago

Explain two ways you could solve 20 = 5(-3 + x)

MrRissso [65]

Answer:

The answer to your question is below

Step-by-step explanation:

First way

20 = 5(-3 + x) expand

20 = -15 + 5x simplify like terms

5x = 20 + 15

5x = 35 divide both sides by 5

5x/5 = 35/5

x = 7

Second way

20/5 = 5/5 (-3 + x) Divide both sides by 5

4 = -3 + x Add +3 in both sides

4 + 3 = -3 + 3 + x Simplify like terms

7 = x

3 0

3 years ago

Evaluate the integral

Kruka [31]

Hello, please consider the following.

$\displaystyle \begin{aligned} \int\limits^x {5sin(5t)sin(t)} \, dt &= -\int\limits^x {5sin(5t)} \, d(cos(t))\\ \\&=-[5sin(5t)cos(t)]+ \int\limits^x {25cos(5t)cos(t)} \, dt\\\\&=-5sin(5x)cos(x)+ \int\limits^x {25cos(5t)} \, d(sin(t))\\ \\&=-5sin(5x)cos(x)+[25cos(5t)sin(t)]+ \int\limits^x {25sin(5t)sin(t)} \, dt\\\\&=-5sin(5x)cos(x)+25cos(5x)sin(x)+ \int\limits^x {(25*5)sin(5t)sin(t)} \, dt\end{aligned}$

And we can recognise the same integral, so.

$\displaystyle (25-1)\int\limits^x {5sin(5t)sin(t)} \, dt= +5sin(5x)cos(x)-25cos(5x)sin(x)$

And then,

$\displaystyle \Large \boxed{\sf \bf\int\limits^x {5sin(5t)sin(t)} \, dt=\dfrac{5sin(5x)cos(x)-25cos(5x)sin(x)}{24}+C}$

Thanks

3 0

2 years ago