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katen-ka-za [31]
3 years ago
14

Evaluate limit: lim x approaches 0 e^(5x)-1-5x/x^2

Mathematics
1 answer:
rosijanka [135]3 years ago
8 0
Lim as x approches 0 of (e^(5x) - 1 - 5x)/x^2 = lim as x approaches 0 of (5e^(5x) - 5)/2x = lim as x approaches 0 of 25e^(5x)/2 = 25/2 = 12.5
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Find the area of this figure. use 3.14 for pi.​
Ganezh [65]
The square would be 100.
The semicircle you will use the formula πr^2/2.
That would mean you would take the 3.14x5^2/2.
(3.14x5x5)/2
(3.14x25)/2
78.5/2
=39.25
So the total area would be 139.25
7 0
3 years ago
Convert 6.350 to a fraction
stepladder [879]

Answer:

6 \frac{350}{1000} Is the answer, if you want it simplified then, 6 \frac{7}{20}

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
provide a counterexample (specific values of a,b, etc. which make the statement false) for each of the following statements. Ass
ivolga24 [154]

Answer:

1. a=3, b = 2, c = 1.

2. a=2, b=3, c=4, d=6.

3. a = 9, b = 3.

Step-by-step explanation:

1.  3 | 21   is a counterexample  because 3 does not divide into  2 or 1.

2. 23 | 46 is a counterexample because 2 does not divide into 3.

3. 9 | 3^2 is a counterexample because 9 does not divide into 3.

8 0
3 years ago
2x + y - z = -8
Andreyy89

Answer:

Multiply row 1 by \frac{1}{2}.

Step-by-step explanation:

The augmented matrix of the system of linear equation is described below:

\left[\begin{array}{cccc}2&1&-1&-8\\0&2&3&-6\\-\frac{1}{2} &1&1&-4\end{array}\right]

Where a_{11} = 2, if we need to create a_{11} = 1, we need to multiply row 1 by \frac{1}{2}, that is to say:

\left[\begin{array}{cccc}1&\frac{1}{2} &-\frac{1}{2} &-4\\0&2&3&-6\\-\frac{1}{2} &1&1&-4\end{array}\right]

Hence, the correct answer is: Multiply row 1 by \frac{1}{2}.

5 0
3 years ago
A government buys `x`fighter planes at `z` dollars each, and `y` tons of wheat at w dollars each. It spends a total of `B`dollar
Veronika [31]

The equation whose solution is the given quantity is 90,000,000 = 2,000,000w + 15,000w where w = $44.67

<h3>Equation</h3>

B = xz + yw

Where,

  • B = Total cost = 90
  • x = number of fighter plane = 20
  • y = tons of wheat = 15,000
  • w = cost of each tons of wheat
  • z = cost of fighter plane
  • z = 100,000w

B = xz + yw

90,000,000 = (20 × 100,000w) + (15,000 × w)

90,000,000 = 2,000,000w + 15,000w

90,000,000 = 2,015,000w

w = 90,000,000 / 2,015,000

= 44.6650124069478

Approximately,

w = $44.67

Learn more about equation:

brainly.com/question/2972832

#SPJ1

6 0
2 years ago
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