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3 years ago

Jody runs the 500-yard dash for his school’s track team in 1 minute. Find this rate in yards per second.

Mathematics

1 answer:

DENIUS [597]3 years ago

7 0

8.3 meters would be the rate per one second

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Find a vector equation and parametric equations for the line through the point (7,4, 5) and parallel to the vector 3i 2j-k .

aleksley [76]

Answer: vector equation r = (7+3t)i + (4+2t)j + (5 - 5t)k

parametric equations: x = 7 + 3t; y = 4 + 2t; z = 5 - 5t

Step-by-step explanation: The vector equation is a line of the form:

r = $r_{0}$ + t.v

where

$r_{0}$ is the position vector;

v is the vector;

For point (7,4,5):

$r_{0}$ = 7i + 4j + 5k

Then, the equation is:

r = 7i + 4j + 5k + t(3i + 2j - k)

r = (7 + 3t)i + (4 + 2t)j + (5 - 5t)k

The parametric equations of the line are of the form:

x = $x_{0}$ + at

y = $y_{0}$ + bt

z = $z_{0}$ + ct

So, the parametric equations are:

x = 7 + 3t

y = 4 + 2t

z = 5 - 5t

4 0

3 years ago

At the end of the summer.

tia_tia [17]

Answer:

197.50

Step-by-step explanation:

5 0

3 years ago

The number of cans the soup kitchen has is represented by the equation, y = -63x + 825, where x represents the number of days an

KiRa [710]

To find the answer to this question, we need to plug in x=10 into the equation y = -63x + 825.
y = -63(10) + 825
y = -630 + 825
y = 195
Thus, there will be 195 cans left after 10 days.

8 0

3 years ago

Read 2 more answers

6.8 (-0.5) - 2 (5.8)

Zina [86]

Answer:

- 15

Step-by-step explanation:

6 0

3 years ago

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Find 2 consecutive odd integers sum of who's square is 290 pls send fast

ELEN [110]

Answer:

<h3>Hence required integers are 11 and 13</h3>

Let x an odd positive integer

Then, according to question

x^2 +(x+2)^2=290

2x^2 +4x−286=0

x^2 +2x−143=0

x ^2+13x−11x−143=0

(x+13)(x−11)=0

x=11 as x is positive

Hence required integers are 11 and 13

Step-by-step explanation:

Hope it is helpful....

7 0

2 years ago