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jekas [21]
2 years ago
5

A 64 ounce bottle of organic orange juice costs $14.72. What is the price

Mathematics
1 answer:
olasank [31]2 years ago
8 0

<em>A 64 ounce bottle of organic orange juice costs $14.72. What is the price </em>

<em>per ounce?;  </em>0.23

<em>Anna typed 600 words in 15 minutes. How many words can she type per </em>

<em>minute?; </em> 40 words per minute

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During the half time of a basketball game, a sling shot launches T-shirts at the crowd. The T-shirt is launched with an initial
kumpel [21]

Step-by-step explanation:

The T-shirt is launched with an initial upward velocity of 60 ft/s from a height of 5 feet. Its equation of motion is given by :

f(x) = -12x^2 + 60x + 5 ....(1)

(a) For maximum height, put \dfrac{df(x)}{dt}=0

So,

\dfrac{ d(-12x^2 + 60x + 5)}{dt}=-24x+60

Now put,

-24x+60=0\\\\x=2.5\ s

So, the time taken for the T-shirt to reach maximum height is 2.5 seconds.

(b) Put x = 2.5 s in equation (1)

f(x=2.5) = -12(2.5)^2 + 60(2.5) + 5\\\\f(x)=80\ \text{feet}                

8 0
3 years ago
Find M<br> A. 17<br> B. 16<br> C. 18<br> D. 20
mixas84 [53]

Answer:

A. 17

Step-by-step explanation:

using the cosine rule (also see attached for reference):

AB² = BC² + AC² - 2·AC·BC cos C

2·AC·BC cos C = BC² + AC² - AB²

Given that AC = 18, AB = 12 and BC = 18, substituting these into the formula

2(18)(28) cos C = 28² + 18² - 12²

1008 cos C = 964

cos C = 964/1008

cos C = 0.9563

C = cos⁻¹ 0.9563

C = 16.99 ( = 17° rounded to nearest degree)

7 0
2 years ago
A line passes through the points (1, 4) and (3,-4). Which is the equation of the line?
SVETLANKA909090 [29]

Answer:

Y=-4x+8

Step-by-step explanation:

y2-y1/x2-x1

This wil give you slope.

5 0
3 years ago
Please please please help fast this is a BIG deal
aniked [119]

Answer:

190.625 ft^2

Step-by-step explanation:

A = bh = (15.25) * (12.5) = 190.625 ft^2

5 0
2 years ago
Read 2 more answers
A circular sector has a central angle of π6 radians and a radius of 9 ft.
ohaa [14]

Answer:

\approx \: 21.2 \:  {ft}^{2}

Step-by-step explanation:

central \:  \angle   =  \frac{\pi ^{c} }{6}  = 30 \degree \\  \\ area \: of \: the \: sector =  \frac{30 \degree}{360 \degree}  \times \pi {(9)}^{2}  \\  \\  =  \frac{1}{12}  \times 3.14 \times  81 \\  \\  =   \frac{1}{12}  \times 254.34 \\  \\  = 21.195 \:  {ft}^{2}  \\  \\  \approx \: 21.2 \:  {ft}^{2}

8 0
3 years ago
Read 2 more answers
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