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WINSTONCH [101]
3 years ago
6

Is the relationship shown by the data linear? If so, model the data with an equation.

Mathematics
1 answer:
Svet_ta [14]3 years ago
4 0
Yes it is linear, you go up my fours in the y side and go down by two on the x side. The equation is y=2x+19
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What can you conclude about the population density from the table provided? Population Area (km²) Region A 20,178 521 Region B 1
Alika [10]

Answer:

A got it right

Step-by-step explanation:

got it right

6 0
2 years ago
A projectile is fired with muzzle speed 250 m/s and an angle of elevation 45° from a position 30 m above ground level. Where doe
qaws [65]

The projectile's horizontal and vertical positions at time t are given by

x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ\,t

y=30\,\mathrm m+\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ\,t-\dfrac g2t^2

where g=9.8\dfrac{\rm m}{\mathrm s^2}. Solve y=0 for the time t it takes for the projectile to reach the ground:

30+\dfrac{250}{\sqrt2}t-4.9t^2=0\implies t\approx36.2458\,\mathrm s

In this time, the projectile will have traveled horizontally a distance of

x=\dfrac{250\frac{\rm m}{\rm s}}{\sqrt2}(36.2458\,\mathrm s)\approx6400\,\mathrm m

The projectile's horizontal and vertical velocities are given by

v_x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ

v_y=\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ-gt

At the time the projectile hits the ground, its velocity vector has horizontal component approx. 176.77 m/s and vertical component approx. -178.43 m/s, which corresponds to a speed of about \sqrt{176.77^2+(-178.43)^2}\dfrac{\rm m}{\rm s}\approx250\dfrac{\rm m}{\rm s}.

7 0
3 years ago
A rectangular prism has a volume of 1280 cubic units. The length is 32 units and the width is 5 units.
Fiesta28 [93]

Answer:

huh

Step-by-step explanation:

3 0
3 years ago
A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability that the card drawn is neither a red card
Reil [10]
Number of red cards including 2 red queens = 26
Number of black queens = 2
Therefore, number of red cards including 2 red queens and 2 black queens = 26 + 2 = 28
Number of cards neither a red card nor a queen = 52 - 28 = 24

P  =  \frac{ Number \: of \: favourable \: outcomes}{ Total \: numer \: of \: possible \: outcomes}

P (neither \: a \: red \: nor \: a \: queen \: card \: ) =  \frac{24}{52}  =  \frac{6}{13}
8 0
3 years ago
Plz help
Mazyrski [523]

Answer:

12.

Step-by-step explanation:

This is how to round 12.36 to the nearest whole number. In other words, this is how to round 12.36 to the nearest integer.

12.36 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:

Integer Part: 12

Fractional Part: 36

Our goal is to round it so we only have an integer part using the following rules:

If the first digit in the fractional part of 12.36 is less than 5 then we simply remove the fractional part to get the answer.

If the first digit in the fractional part of 12.36 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.

The first digit in the fractional part is 3 and 3 is less than 5. Therefore, we simply remove the fractional part to get 12.36 rounded to the nearest whole number as:

12

5 0
3 years ago
Read 2 more answers
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