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Ugo [173]
2 years ago
5

Use the graph of y = ex to evaluate e1.7 to four decimal places. 4.6211 2.7183 5.4739 0.1827

Mathematics
2 answers:
Gre4nikov [31]2 years ago
3 0
The answer is 5.4739
aleksley [76]2 years ago
3 0

Answer:

C. 5.4739

Step-by-step explanation:

Please find the attachment.

We have been given a function: y=e^x and we are asked to evaluate our given function at x equals 1.7.

Upon substituting x= 1.7 in our given function we will get,

y=e^{1.7}

y=5.473947391727199

Upon rounding our answer to 4 decimal places we will get,

y\approx 5.4739

We can also see from our graph that at x equals 1.7 value of our function is 5.474. Therefore, option C is the correct choice.


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Which point lies on a circle with a radius of 5 units and center at P(6,1)?
ryzh [129]

Answer:

Option B. R(2,4)

Step-by-step explanation:

we know that

If a ordered pair lie on the circle. then the ordered pair must satisfy the equation of the circle

step 1

Find the equation of the circle

we know that

The equation of the circle in center radius form is equal to

(x-h)^{2}+(y-k)^{2}=r^{2}

where

r is the radius of the circle

(h,k) is the center of the circle

substitute the values

(x-6)^{2}+(y-1)^{2}=5^{2}

(x-6)^{2}+(y-1)^{2}=25

step 2

Verify each case

case A) Q(1, 11)

substitute the value of x=1, y=11 in the equation of the circle and then compare the results

(1-6)^{2}+(11-1)^{2}=25

25+100=25 ------> is not true

therefore

the ordered pair Q not lie on the circle

case B) R(2,4)

substitute the value of x=2, y=4 in the equation of the circle and then compare the results

(2-6)^{2}+(4-1)^{2}=25

16+9=25 ------> is true

therefore

the ordered pair R lie on the circle

case C) S(4,-4)

substitute the value of x=4, y=-4 in the equation of the circle and then compare the results

(4-6)^{2}+(-4-1)^{2}=25

4+25=25 ------> is not true

therefore

the ordered pair S not lie on the circle

case D) T(9,-2)

substitute the value of x=4, y=-4 in the equation of the circle and then compare the results

(9-6)^{2}+(-2-1)^{2}=25

9+9=25 ------> is not true

therefore

the ordered pair T not lie on the circle

7 0
3 years ago
Which equation of the line that is parallel to the line 5x + 2y =12 and passes through point -2,4
Gnesinka [82]

Answer:

The equation of the line would be y = -5/2x - 1

Step-by-step explanation:

In order to find the equation of the line, we first need to find the slope of the original line. We can do that by solving for y.

5x + 2y = 12

2y = -5x + 12

y = -5/2x + 6

Now that we have a slope of -5/2, we know the new slope will be the same since parallel lines have the same slope. So we can use it along with the point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 4 = -5/2(x + 2)

y - 4 = -5/2x - 5

y = -5/2x - 1

3 0
3 years ago
24 times 4 tons 2 pounds
algol13
24 x 4 tons and 2 pounds is:

96.02400 short tons

Hope I Helped!!!
5 0
3 years ago
The observation deck is about 20 m above sea level. From the observation deck, the angle of depression of the boat is 6 degrees.
Leno4ka [110]
 θ\ 6 degrees
     \
       \     so the θ= 180-90-6 =84 degrees so we need to find x  
20m   \      tan (84)=x/20 
  ____  \      x=20 tan(84) 
      x         x=190.287   
7 0
3 years ago
What is 158% of 200?
Amanda [17]
You would do 200 times 1.58 and that gets you 316 hope this helps :)
7 0
2 years ago
Read 2 more answers
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