COOKING The instructions on a box of chicken patties state that one patty should be cooked for 2.5 minutes

The height of a football during a punt is modeled by h=-16t^2+60t+3. If the football hits the ground, how long did it stay in th

weqwewe [10]

"how long..." is asking for time (t). "The amount of time spent in the air" is the time from when the ball was kicked (0 seconds) to the time it landed on the ground. Need to find the x-intercepts (one will be negative which will be invalid). You can do this by factoring ... <em>or by using the quadratic formula.</em> With the equation you provided, it is not factorable, so you must use the quadratic formula.

h = -16t² + 60t + 3

a=-16 b=60 c=3

$t = \frac{-b +/- \sqrt{b^{2}-4ac } }{2a}$

$t = \frac{-60 +/- \sqrt{60^{2}-4(-16)(3) } }{2(-16)}$

$t = \frac{-60 +/- \sqrt{3600 + 192} }{-32}$

$t = \frac{-60 +/- \sqrt{3792} }{-32}$

$t = \frac{-60 +/- 61.6}{-32}$

$t = \frac{-60 + 61.6}{-32}$ or $t = \frac{-60 - 61.6}{-32}$

$t = \frac{1.6}{-32}$ or $t = \frac{-121.6}{-32}$

t = -0.05 or t = 3.8 <em>disregard the negative</em>

Answer: 3.8 seconds

8 0

4 years ago

Under a microscope, ms. kapinski studies a culture with bacteria. as the number of hours progresses, ms. kapinski sees that the

velikii [3]

Answer:

Study 1 Answers:

1) 0.76 represents the multiplier of the bacteria, in this case it is decreasing by 24% because the formula for exponential decay is 1 - r.

2) 1290 represents the initial value, or before the study began.

Study 2 Answers:

1) 1180 is the initial value, or before the study began.

2) Study 1 started with more bacteria

3) Study 1 is experiencing exponential decay, while study 2 is experiencing exponential growth

Step-by-step explanation:

Exponential functions are in the form $y=a(b)^x$ , where a is the initial value, b is the multiplier, and x represents inputs, such as hours after a bacteria study.

Any multiplier above 1.00 is experiencing exponential growth, meaning it grows gradually over time, and any multiplier below 1.00 is experiencing exponential decay, meaning it decreases in population over time.

5 0

2 years ago

Please show work for both problems

sukhopar [10]

(1) The value of x is 25

(2) The measure of ∠CBD is 60°

Explanation:

(1) The given two angles are vertical angles. Since, vertical angles are equal, we can add the two angles to determine the value of x.

Thus, we have,

$5x+15=6x-10$

Subtracting 5x from both sides, we have

$15=x-10$

Adding 10 to both sides , we have,

$25=x$

Thus, the value of x is 25.

(2) It is given that the measure of ∠ABC = (x+7)° and ∠CBD = (2x+14)°

Since, these two angles are supplementary angles and supplementary angles add upto 90°

Thus, we have,

$2x+14+x+7=90$

Simplifying, we get,

$3x+21=90$

$3x=69$

$x=23$

Thus, substituting the value of x in ∠CBD = (2x+14)° to determine its value.

$2x+14=2(23)+14=46+14=60$

Thus, the measure of ∠CBD is 60°

5 0

4 years ago

Will give brainlyiest answer if explained.

Deffense [45]

C. The three angles on the bottom are all exactly the same.

5 0

4 years ago

I Need Help With Statistics

Ilya [14]

Answer: Choice A) mean, there are no outliers

Have a look at the image attached below. I made two dotplots for the data points. The blue points represent bakery A. The red points represent bakery B. For any bakery, the points are fairly close together. There is no point that is off on its own. So there are no outliers, making the mean a good choice for the center. If there were outliers, then the median is a better choice. The mean is greatly affected by outliers, while the median is not.

5 0

3 years ago