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svp [43]
3 years ago
9

Cindy shoots a bottle rocket straight up into the air such that its height h, in feet, at time t, in seconds, is given by the fu

nction h of t = negative 16 times t squared plus 85 t + 5.. During what interval will the rocket be at least 43 feet above the ground?
Mathematics
1 answer:
dezoksy [38]3 years ago
6 0

Answer:

t = [0.493,4.2]

Step-by-step explanation:

The height of the rocket straight up into the air is given by :

h(t)=-16t^2+85t+5

We need to find the interval the rocket be at least 43 feet above the ground.

43\ge -16t^2+85t+5\\\\t\ge 0.493\ and\ t\le 4.82\ s

So, the required interval during which the rocket is at least 43 feet above the ground is [0.493,4.2].

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Taylor and Jesse are buying a magazine for $3.75 and a snack for $2.49 what is s the total cost of the two items?
Kazeer [188]

Hey There!

The answer you are looking for is; $6.24!

Work:

You simply add $3.75 + $2.49 together.

Since .75 + .29 = 1.24, you carry the one over to the full dollar.

3 + 2 + 1 = 6.

= 6.24

Hope I helped! 5 stars and brainliest are always appreciated.

7 0
3 years ago
Read 2 more answers
Criminal investigators use biometric matching for fingerprint recognition, facial recognition, and iris recognition. When matchi
Daniel [21]

Answer:

Type I error.

Step-by-step explanation:

Let's remember the definition of Type I error and Type II error:

A type I error is the rejection of a true null hypothesis, this means that we would get a "false positive" with this error.

A type II error is the non rejection of a not true null hypothesis, this error would give us a "false negative".

In this problem, we are told that the mean match score to identify a suspect is 80. However, the test shows that the mean match score is more than 80 when the person doesn't have a fingerprint match (and therefore the person would not be a suspect). Therefore, this person would appear as a suspect when he/she really isn't one. This means that the test is giving a "false positive". Thus, this is a type I error.

6 0
3 years ago
Given the equation −4Square root of x minus 3 = 12, solve for x and identify if it is an extraneous solution.
Darina [25.2K]

Answer:

There is no solution for the given radical equation.

x = 225/16 is an extraneous solution.

Step-by-step explanation:

The given equation is  

Add 3 to both sides of the equation

Squaring both sides

Divide both sides by 16

Substituting back the value of x in original equation to check the extraneous solution.

 

Since -18≠ 12. Hence, the value of x does not satisfy the equation.

Therefore, x = 225/16 is an extraneous solution.

Step-by-step explanation:

4 0
3 years ago
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What is the mean of the following set of numbers? 32, 31, 37, 44 a. 13 b. 34 c. 36
ELEN [110]
Mean is average

so we have 4 numbers
sum them then divide by 4

(32+31+37+44)=144
divide by 4
144/4=36

answer is C
6 0
3 years ago
Find the measure of angle X in the figure below
alexandr1967 [171]

Answer:

50 degrees

Step-by-step explanation:

65 times 2=130

180-130=50

7 0
3 years ago
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