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Tanzania [10]
3 years ago
5

The rule for a pattern is add 6. The first term is 5. Write the first five terms in a pattern

Mathematics
1 answer:
DIA [1.3K]3 years ago
5 0
5, 11, 17, 23, 28

Just start with 5 and add 6 every time.
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A rocket is launched at 85 ft./s from a launch pad that’s 28 feet above the ground. which equation can be used to determine the
3241004551 [841]

Answer:

h(t)=-16t^2+85t+28  is equation of height of rocket.

Option D is correct.

Step-by-step explanation:

Given: A rocket is launched with speed 85 ft/s from a height 28  feet.

Launching a rocket follows the path of parabola. The equation of rocket should be parabolic.

Parabolic equation of rocket is

Formula: h(t)=\dfrac{1}2gt^2+v_0t+h_0

g ⇒ acceleration due to gravity (-32 ft/s)

v ⇒ Initial velocity (v_0=85\ ft/s)

h ⇒ Initial height (h_0=28\ feet)

h(t) ⇒ function of height at any time t

Substitute the given values into formula

h(t)=\frac{1}{2}(-32)t^2+(85)t+28

h(t)=-16t^2+85t+28

D is correct.

6 0
3 years ago
Read 2 more answers
The length of a rectangle is one inch less than three times its width. If the perimeter of the rectangle is 54 inches, find the
CaHeK987 [17]

w - width

3w - 1 - length

54 in - perimeter

w + w + (3w - 1) + (3w - 1) = 8w - 2 - perimeter

The equation:

8w - 2 = 54      <em>add 2 to both sides</em>

8w = 56     <em>divide both sides by 8</em>

w = 7

3w - 1 = 3(7) - 1 = 21 - 1 = 20

<h3>Answer: The length = 20 in.</h3>
7 0
3 years ago
Is this answer correct?
slavikrds [6]
NO. Sine is opposite/hypotenuse, so the answer should be 24/25
4 0
3 years ago
 How many​ flowers, spaced every 3 ​in., are needed to surround a circular garden with a 150​-ft ​radius? Use 3.14 for pi.
BARSIC [14]

Answer:

3,768\ flowers

Step-by-step explanation:

step 1

Find the circumference of the circular garden

The circumference of the circle is equal to

C=2\pi r

we have

r=150\ ft

\pi=3.14

substitute the values

C=2(3.14)(150)=942\ ft

step 2

<em>Convert feet to inches</em>

Remember that

1\ ft=12\ in

942\ ft=942*12=11,304\ in

step 3

Divide the circumference by 3 in to calculate the number of flowers

11,304/3=3,768\ flowers

5 0
3 years ago
What is the equation of the line that passes through the point (-9. 6) and is
hram777 [196]

Answer:

The perpendicular equation is y = -3x -21

Step-by-step explanation:

Perpendicular lines have the exact opposite slope as the other equation and they never have the same y-intercept.

To find the perpendicular slope just look at the slope in the original equation and get the exact opposite.

First let's simplify the equation.

-5 + x = 3y (divide by 3 on both sides to get y by itself)

-5/3 + 1/3x = y or y = 1/3x + 5/3

The exact opposite of this slope would be -3.

Now plug in the point you were given so that we can find the y-intercept.

6 = -3(-9) + b   (b = y-intercept)

6 = 27 + b (subtract 27 on both sides)

-21 = b

So the perpendicular equation looks like this.

y = -3x -21

6 0
3 years ago
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