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xeze [42]
3 years ago
10

Limit as x goes to 0 of (sin x)/x

Mathematics
1 answer:
GrogVix [38]3 years ago
6 0

Answer:

with x

Step-by-step explanation:

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Paolo is buying salad and pizza for a company lunch. Suppose that a bowl of salad costs $5.00, and slice of costs $2.00.Let E be
Slav-nsk [51]

Answer:

  • E=5S+2P
  • P=0.5(E-5S)

\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|

Step-by-step explanation:

Cost of a bowl of salad = $5.00

Cost of a slice of pizza = $2.00

If Paolo buys S bowls of salad and P slices of pizza, then the total amount of money he spends E can be represented by the equation:

  • E=5S+2P

Next, we make P the subject of the equation above.

2P=E-5S

P=\dfrac{E-5S}{2} \\P=0.5(E-5S)

Therefore, The quantity of pizza he buys can be represented by the equation:

  • P=0.5(E-5S)

When E=$40, we are required to complete the table below.

\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&\\40.00&4&\\40.00&&0\end{array}\right|

When S=0, E=$40

From P=0.5(E-5S)

P=0.5(40-5(0))=20

When S=4, E=$40

P=0.5(40-5(4))

=0.5(40-20)

=0.5*20

=10

When P=0, E=$40

P=0.5(E-5S)

0=0.5(40-5S)

40-5S=0

5S=40

S=8

Therefore, the completed table is:

\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|

4 0
4 years ago
Omg plz help have no idea question below
Deffense [45]

Answer:

y=3x+1

Step-by-step explanation:

add 3x to both sides of the equation to get it in standard form, then the slope is 3x meaning that you go up 3 units and to the right 1 unit. since our y-intercept is at 1 we start this from there as shown in the images above^

4 0
3 years ago
I have no idea what the answer is lol
nikdorinn [45]

Answer:

A. y = \frac{2}{5}x -2

Step-by-step explanation:

The y-intercept starts at -2

The slope is \frac{2}{5} because it goes up 2 and 5 to the right.

The equation would be y = \frac{2}{5}x -2

8 0
3 years ago
How to do this question plz answer my question ​
Degger [83]

Answer:

$121.82

Step-by-step explanation:

Okay, this is kind of complex, so let's go step by step.

First, we want to find the area of the rectangular lawn - we can do this by multiplying the length and width. The length is 100 and the width is 45 so 45\cdot100=4500 m² is the area of the rectangle.

However, there are 3 ponds in which the grass seeds will not be going - so we need to find the area of all 3 of these circles and subtract it from 4500 (our rectangle area).

The area of a circle is represented by the formula \pi r^2

The diameters are given here, which is double the radius, so to find the radius of each circle let's divide the diameters by 2.

First circle's radius: 20\div2=10

Second circle's radius: 10\div2=5

Third circle's radius: 5\div2=2.5

Now let's find the area of each circle.

<em>First Circle</em>: \pi \cdot10^2 = \pi\cdot100=3.14\cdot100=314

<em>Second Circle</em>: \pi\cdot5^2 = \pi \cdot25 = 3.14\cdot25=78.5

<em>Third Circle:</em> \pi \cdot 2.5^2 = \pi \cdot6.25 = 3.14\cdot6.25=19.625

Adding all of these values gets us 412.125.

Now we can subtract from this from 4500 to get us 4087.875

If the grass seeds that cost £1.49 cover 50m² each, then we need 4087.875\div50=81.7575 bags.

Each bag costs £1.49, so the total cost is 81.7575\cdot1.49\approx121.82

Hope this helped!!

5 0
3 years ago
Dante plans to put 80% of his paycheck into a savings account and spend the other 20%. His paycheck this week was 295$. About ho
IgorLugansk [536]

80% × $295 = 80/100 × $295 = $236

Dante will put $236 into his savings account.

6 0
3 years ago
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