Use the linearization (1+x)^k=1+kx to approximate 1.002^100

Mary is traveling to Ecuador for her summer vacation. She looks at a map of the path of her flight. Her plane leaves from Florid

arlik [135]

Answer:

The coordinates of Ecuador is (7,8)

Step-by-step explanation:

Represent Ecuador with E, Panama with P and Florida with F

Given

F(x1,y1) = (5,16)

P(x,y) = (6,12)

Required

Determine the coordinates of E(x2,y2)

From the question, we understand that P is located at the midpoint of E and F.

Using midpoint formula, we have

(x,y) = (½(x1 + x2), ½(y1 + y2))

Substitute values for x,y,x1 and y2;

This gives

(6,12) = (½(5 + x2), ½(16 + y2))

By direct comparison of expression on both sides

½(5 + x2) = 6

½(16 + y2) = 12

Solving for the first equation

Multiply both sides by 2

5 + x2 = 6 * 2

5 + x2 = 12

Make x2 the subject of formula

x2 = 12 - 5

x2 = 7

Solving the second equation

Multiply both sides by 2

16 + y2 = 12 * 2

16 + y2 = 24

Make y2 the subject of formula

y2 = 24 - 16

y2 = 8

Hence, the coordinate of Ecuador is (7,8)

4 0

3 years ago

Write three expressions that are the equivalent of 5of 100, 000 , first as a numberthen in wordsfinally in scientific notation

disa [49]

Answer: 1) 500, 000

2) Five hundred thousand

3) $5\times10^5$

Step-by-step explanation:

To express: 5 of 100, 000 in three expressions (First - number. second - word , third - scientific )

5 of 100, 000 = 5 x 100, 000 = 500, 000

In word - Five hundred thousand [ as place value of 5 = hundred thousand]

In scientific notation, $500, 000=5\times10^5$

Hence, the required expressions:

1) 500, 000

2) Five hundred thousand

3) $5\times10^5$

4 0

4 years ago

3 - 3 × 6 + 2 = ? So what -13 or -17 or 0 ;-)

DENIUS [597]

;)

$We\ will\ use\ PEMDAS.$

Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

$We\ do\ the\ multiplication\ and\ division\ first\ as\ there\ are\ no\\
parenthesis\ and\ exponents\ in\ the question.$
$\\3 - 3\times6 + 2 =\\ 3 - 18 + 2 =\\ Now\ we\ just\ add\ and\ subtract\ what\ is\ left.\ :)\\ \fbox{We\ go\ from\ left\ to\ right.}\\ 3 - 18 = -15\\ -15 + 2 = -13\\ \\ The\ answer\ is\ \fbox{-13}.$

6 0

3 years ago

Read 2 more answers

¿que son los grafos triviales?

Svet_ta [14]

Answer:

la respuesta

Step-by-step explanation:

perdon si no es

7 0

3 years ago

Can someone answer this

ryzh [129]

Answer:

y = 2x + b (the second answer choice)

Step-by-step explanation:

The slope-intercept form is y = mx + b (the m representing slope and the b representing y-intercept). Put the points in ratio form as a fraction and subtract the ratio with the smallest numbers from the ratio with the largest ratio (5/1 - 1/-1) to get 4/2. When simplified, it becomes 2/1, so the slope is 2. Using the slope found previously, subtract 1 from the x of (1, 5) and 2 from the y of (1, 5) to get the y-intercept. The resulting point is (0, 3), so the y-intercept is 3. Replace the m with the found slope (2) and b with the found y-intercept (3) to end up with y = 2x + 3.

7 0

3 years ago