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3 years ago

Which of the following is most likely the next step in the series?

Mathematics

2 answers:

stiv31 [10]3 years ago

5 0

Answer:

A. option is correct

Step-by-step explanation:

since number of sides in first figure is 3

number of sides in second figure is 4

number of sides in third figure is 5

hence, number of sides in fourth figure must be 6

A. number of sides in this figure is 6

B. number of sides in this figure is 7

C. number of sides in this figure is 8

D. number of sides in this figure is 4

hence, option A. is correct

IgorC [24]3 years ago

4 0

A. The hexagon as the series is adding a side each time. So you started with 3, 4, 5...

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Suppose a football is kicked with an initial velocity of 82 ft/sec., at an angle of

satela [25.4K]

Answer:

The position P is:

$P = 87\^x + 75\^y$ ft <u><em> Remember that the position is a vector. Observe the attached image</em></u>

Step-by-step explanation:

The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity $s_0$ is:

$y(t) = y_0 + s_0t -16t ^ 2$

Where $y_0$ is the initial height = 0 for this case

We know that the initial velocity is:

82 ft/sec at an angle of 58 ° with respect to the ground.

So:

$s_0 = 82sin(58\°)$ ft/sec

$s_0 = 69.54$ ft/sec

Thus

$y(t) = 69.54t -16t ^ 2$

The height after 2 sec is:

$y(2) = 69.54 (2) -16 (2) ^ 2$

$y(2) = 75\ ft$

Then the equation that describes the horizontal position of the ball is

$X(t) = X_0 + s_0t$

Where

$X_ 0 = 0$ for this case

$s_0 = 82cos(58\°)$ ft / sec

$s_0 = 43.45$ ft/sec

$X(t) = 43.45t$

After 2 seconds the horizontal distance reached by the ball is:

$X (2) = 43.45(2)\\\\X (2) = 87\ ft$

Finally the vector position P is:

$P = 87\^x + 75\^y$ ft

6 0

3 years ago

Find Horizontal and Vertical asymptotes for y=(x^2 -9)/(4x^2 +1)

Gnom [1K]

Answer: Horizontal asymptote is $\dfrac{1}{4}$ and vertical asymptotes are $\pm \dfrac{1}{2i}$

Step-by-step explanation:

Since we have given that

$y=\dfrac{x^2-9}{4x^2+1}$

We need to find the horizontal and vertical asymptotes.

Since vertical asymptotes will occur where the denominator becomes zero.

So, here denominator is $4x^2+1$

Now,

$4x^2+1=0\\\\4x^2=-1\\\\x^2=\dfrac{-1}{4}\\\\x=\pm \dfrac{1}{2i}$

And the horizontal asympototes will occur when the coefficient of higher degree of numerator is divided by coefficient of higher degree of denominator.

$y=\dfrac{1}{4}$

Hence, horizontal asymptote is $\dfrac{1}{4}$ and vertical asymptotes are $\pm \dfrac{1}{2i}$

8 0

3 years ago

Pablo mixed 2 1 /2 quarts of fruit juice with 1 gallon of seltzer. If each serving is 8 fluid ounces, how many servings did Pabl

Vinvika [58]

Answer: B

Step-by-step explanation:

1. Convert gallons to quarts (1 gallon = 4 quarts)

2. Add 4 quarts to 2 1/2 quarts (6 1/2 quarts)

3. Multiply by 4 to find the amount of cups. (1 cup = 8 fl oz.)

HOPE IT HELPS BYEEEE

5 0

2 years ago

Bro what does this mean

dimulka [17.4K]

Answer:

Step-by-step explanation:

hope this helps

8 0

3 years ago

Read 2 more answers

Adam leaves school at 4 p.m. and walks home at a constant pace of three mph. Amy leaves school thirty minutes later, but she bro

madam [21]

Answer:

10 minutes

Step-by-step explanation:

Adam- 3 mph = 20 minutes a mile

Amy- 12 mph = 5 minutes a mile

Adam left 30 minutes prior to Amy so he is a mile and a half ahead before amy even starts.

30 minutes = 1.5 miles (Adam)

7.5 minutes = 1.5 miles (Amy)

but with this being said you have to continue to add time and miles to Adam because he's now gone an extra 7.5 minutes too.

45 minutes = 2.25 miles

15 minues = 3 miles

no youre too far and Amy is now further so we have to go back some

40 minutes = 2 miles

10 minutes = 2 miles

With all this being said Amy only needs to ride her bike for 10 minutes before she catches back up to Adam

7 0

3 years ago