Identify the steps used in Algorithm 1 to find the maximum element in the following finite sequence 1, 8, 12, 9, 11, 2, 14, 5, 10, 4.

Algorithm 1 procedure max(a1, a2, . . . , an : integers) max :______

Answers

Answer 1

Answer:

max(1, 8, 12, 9, 11, 2, 14, 5, 10, 4) = 14

Step-by-step explanation:

Here is the algorithm to find the maximum element:

procedure max(a1, a2, . . . , an : integers)

max := a1

for i := 2 to n

if max < ai then max := ai

return max{max is the largest element}

Now lets see how this algorithm works with the given sequence. 1, 8, 12, 9, 11, 2, 14, 5, 10, 4.

The value of max is set to 1. So max = 1.Now the for loop starts. The loop variable i which works as an index moves throughout the sequence i.e. from 2 to n. The value of n is 10 since the total number of elements in the sequence are 10. The first iteration: i=2. Now the IF condition if max < ai inside this FOR loop checks if the value of max is less than the element at i-th position. As the current value of max=1 and the value at i=2 is 8 which means the second element of the sequence. So this condition evaluates to true as 1 < 8. So the IF part is executed which has a statement max := ai which means if the value of max is less than the element at i-th index then the value of max is set to that element. So max = 8.The second iteration: at i = 3. Now the IF condition if max < ai checks if the value of max is less than the element at i-th position. As the current value of max= 8 and current value of i=3 means the third element of the sequence which is 12. So this condition evaluates to true as 8 < 12. So the IF part is executed which has a statement max := ai which means if the value of max is less than the element at i-th index then the value of max is set to that element. So max = 12.The third iteration at i = 4. Now the IF condition if max < ai checks if the value of max is less than the element at i-th position. As the current value of max= 12 and current value of i=4 means the fourth element of the sequence which is 9. Now the IF condition evaluates to false because 12 > 9. Hence the value of max remains the same. So max = 12.The fourth iteration at i = 5. Now the IF condition if max < ai checks if the value of max is less than the element at i-th position. As the current value of max= 12 and current value of i=5 means the fifth element of the sequence which is 11. Now the IF condition evaluates to false because 12 > 11. Hence the value of max remains the same. So max = 12.The fifth iteration at i = 6. Now the IF condition if max < ai checks if the value of max is less than the element at i-th position. As the current value of max= 12 and current value of i=6 means the sixth element of the sequence which is 2. Now the IF condition evaluates to false because 1 2> 2. Hence the value of max remains the same. So max = 12.The sixth iteration at i = 7. Now the IF condition if max < ai checks if the value of max is less than the element at i-th position. As the current value of max= 12 and current value of i=7 means the seventh element of the sequence which is 14. So this condition evaluates to true as 14 < 12. So the IF part is executed which has a statement max := ai which means if the value of max is less than the element at i-th index then the value of max is set to that element. So max = 14.The seventh iteration at i = 8. Now the IF condition if max < ai checks if the value of max is less than the element at i-th position. As the current value of max= 14 and current value of i=8 means the eighth element of the sequence which is 5. Now the IF condition evaluates to false because 1 4> 5. Hence the value of max remains the same. So max = 14.The eighth iteration at i = 9. Now the IF condition if max < ai checks if the value of max is less than the element at i-th position. As the current value of max= 14 and current value of i=9 means the ninth element of the sequence which is 10. Now the IF condition evaluates to false because 1 4> 10. Hence the value of max remains the same. So max = 14.The ninth iteration at i = 10. Now the IF condition if max < ai checks if the value of max is less than the element at i-th position. As the current value of max= 14 and current value of i=10 means the tenth element of the sequence which is 4. Now the IF condition evaluates to false because 1 4> 4. Hence the value of max remains the same. So max = 14.Now the loop ends as the value of i now becomes 11 because the loop is execute at i from 2 to n and value of n = 10. So the loop breaks and the next statement return max{max is the largest element} is executed which returns the current value of max. This means it returns the largest element in the sequence. Since the current value of max = 14. Hence max = 14 is the largest element.

Related Questions

What is the slope of the line through (1,6) and (0,2)

Answers

I will use the graphing method.

To find the slope of the line using this method,

first set up a coordinate system.

Now plot both of your points.

Label a point A and label another one B.

I have chosen to label (0,2) A and (1,6) B but it doesn't matter.

Now graph a line through the 2 points.

Now the slope or m is equal to the rise over run

from point A to point B on the coordinate system.

To get from point A to point B, we rise 4 units and run 1 unit.

So our slope or rise over run is 4/1 which reduces to 4.

answer this please ????

Answers

Answer:

a. x = 4

b. x = 17.5

Step-by-step explanation:

a. 5x/2 + 1 = 11

5x/2 = 10

5x = 20

x = 4

b. 2x/7 - 3 = 2

2x/7 = 5

2x = 35

x = 35/2

Answer:

a) x = 4

b) x = 17.5

Step-by-step explanation:

a)

(5x)/2 + 1 = 11

(5x)/2 = 10

5x = 20

x = 4

b)

(2x)/7 - 3 = 2

(2x)/7 = 5

2x = 35

x = 17.5

help plz!!!! 30 points!!!!!!!!!! i will mark brainliest for who answers first! anveer bought 0.7 pounds of sliced ham at his local deli. If the deli charged $6.79 per pound, how much did Tanveer pay? A. $2.04 B. $4.75 C. $7.49 D. $9.70

Answers

Answer:

B

Step-by-step explanation:

[tex]6.79 \times 0.7[/tex]

[tex]=4.753[/tex]

Answer:

The correct answer would be $4.75

Step-by-step explanation:

6.79 × 0.7

=$4.75

Hope that was helpful.Thank you!!!

How many different strings can be made from the letters in HAPPINESS, using all the letters?

Answers

Answer:

20 different strings

Step-by-step explanation:

Let the lines in the alphabets be the strings. So, each alphabet has many strings. Counting them would make them 20 strings.

the fictitious element homer decays into fictitious daughter element Lisa with a half-life of 1000 years. a rock is found that contains 2 moles of homer and 6 moles of Lisa. what is the approximate age of the rock?
A. 1000 years
B. 500 years
C. 2000 years
D. 4000 years

Answers

Answer:

C. 2000 years

Step-by-step explanation:

Data provided in the question

Half life = 1,000 years

Number of homer moles contained = 2

And, for lisa = 6

Based on the above information, the computation is shown below:

But before that we need to do the following calculations

Total moles by combing the homer and lisa is

= 2 moles + 6 moles

= 8 moles

Now the present fraction of homer is

[tex]= \frac{2\ moles}{8\ moles}[/tex]

[tex]= \frac{1}{4}[/tex]

[tex]= \frac{1}{2^2}[/tex]

Therefore the approximate age of rocks is

[tex]= 1,000\ years \times 2[/tex]

= 2,000 years

Hence, the correct option is c.

A multiple-choice quiz has 150 questions, each with 5 possible answers of which only 1 is correct. What is the probability that sheer guesswork yields from 30 to 35 correct answers for the 90 of the 150 problems about which the student has no knowledge

Answers

Answer:

[tex]\mathbf{P(30 \leq X \leq 35) = 0.00206}[/tex]

Step-by-step explanation:

From the data given;

A multiple-choice quiz has 150 questions

possible answers = 5

correct answer = 1

Let ; The probability of the correct answer = p

Probability of (p) = 1/5

= 0.20

we know that ;

p+q = 1

q = 1 - p

q = 1 - 0.20

q = 0.8

What is the probability that sheer guesswork yields from 30 to 35 correct answers for the 90 of the 150 problems about which the student has no knowledge

We can say that the number of guessed answer should be the sample size n = 90 ,

The probability of getting the correct answer to be  between 30 - 35

x = 30,31,32,33,34,35

Using a Binomial Distribution approach to solve this question; we have the formula:

[tex]P(X=x) = nC_X*P^x*q^{(n-x)}[/tex]

Thus;

[tex]P(30 \leq X \leq 35) = P(X=30) +P(X=31)+ P(X=32) +P(X=33) +P(X =34) +P(X =35)[/tex]

[tex]P(30 \leq X \leq 35) = 90 C_{30} *(0.20)^{30}*(0.80)^{60}+ 90 C_{31} *(0.20)^{31}*(0.80)^{59}+90 C_{32} *(0.20)^{32}*(0.80)^{58}+90 C_{33} *(0.20)^{33}*(0.80)^{57}+90 C_{34} *(0.20)^{34}*(0.80)^{56}+ 90 C_{35} *(0.20)^{35}*(0.80)^{55}[/tex]

[tex]P(30 \leq X \leq 35) = 0.001107+0.000535+0.000247+0.000108+0.000045+0.000018[/tex]

[tex]\mathbf{P(30 \leq X \leq 35) = 0.00206}[/tex]

Thus; the probability that sheer guesswork yields from 30 to 35 correct answers for the 90 of the 150 problems about which the student has no knowledge is 0.00206

I need help! Please!!

Answers

Answer:

18/5

Step-by-step explanation:

3(6)=5x

18=5x

x=18/5

18/5 I think the answer is not rlly good at maths

3 of 8 The following are the ages (years) of 5 people in a room: 14, 14, 18, 18, 22 A person enters the room. The mean age of the 6 people is now 16. What is the age of the person who entered the room?

Answers

Answer:

[tex]\boxed{\sf \ \ age = 10\ \ }[/tex]

Step-by-step explanation:

Hello,

let's write the mean computation, we note x the age of the additional person

[tex]\dfrac{14+14+18+18+22+x}{6}=16[/tex]

[tex]<=> 14+14+18+18+22+x = 6*16=96\\\\<=> x = 96 - ( 14+14+18+18+22)= 10[/tex]

So the age of the person is 10

hope this helps

Answer:

10

Step-by-step explanation:

The mean is the sum of terms divided by number of terms.

Let x be the age of the person who entered the room.

(14+14+18+18+22+x)/6 = 16

(x + 86)/6 = 16

x + 86 = 96

x = 10

The age of the person who entered the room is 10.

Suppose the number of business majors at liberal arts colleges are normally distributed and have a known population standard deviation of 21 students and an unknown population mean. A random sample of 35 liberal arts colleges is taken and gives a sample mean of 420 business majors. Find the margin of errorfor the confidence interval for the population mean with a 90% confidence level. Round the final answer to two decimal places.

Answers

Answer:

The margin of error for the confidence interval for the population mean with a 90% confidence level is of 5.84 business majors.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.05 = 0.95[/tex], so [tex]z = 1.645[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

In this question:

[tex]\sigma = 21, n = 35[/tex]

So

[tex]M = z*\frac{\sigma}{\sqrt{n}} = 1.645*\frac{21}{\sqrt{35}} = 5.84[/tex]

The margin of error for the confidence interval for the population mean with a 90% confidence level is of 5.84 business majors.

Answer:

5.838

Step-by-step explanation:

To find the margin of error we need to identify three things: the z-score, σ, and n.

1.Find zα2 using invNorm. The invNormfunction has one input: probability.

Here, α=1−0.90=0.10. Probability is then 1−0.102=0.95. To find our z-score, we select invNorm after pressing 2nd then VARS. Type invNorm(0.95). The output Is 1.6448. This is the z-score.

2. σ=21.

3. n=35.

4. We type 1.6448×2135√ on the calculator. The output is 5.838, when rounded to three decimal places. This is the margin of error.

Need help ASAP Thankyou!!!

Answers

Answer:

216

Step-by-step explanation:

To find the volume of the pyramid we have to do length * width * height / 3

The length is 9yd

The width is 8yd

The height is 9yd

So 9 * 9 * 8 = 648

648 / 3 = 216

Helpppp meeee please and thanks

Answers

Answer:

[tex]\boxed{\sf \ 2\sqrt{10} \ }[/tex]

Step-by-step explanation:

by definition this is [tex]\sqrt{a^2+b^2}[/tex] for a+bi

so in this case we need to compute

[tex]6^2+2^2 = 36+4=40[/tex]

and then 40=4*10=[tex]2^2*10[/tex]

So, the correct answer is [tex]\sqrt{40}=2\sqrt{10}[/tex]

to note that the magnitude is always a real number so you cannot get i in this kind of answer -> you can eliminate B

The magnitude is always positive so you can eliminate D

hope this helps

plsssssssssssssssss help

Answers

Answer:

60

Step-by-step explanation:

x=60 .

The triangle is equilateral and x=60 cause the two lines are ||

a. x=60°

b. Alternate interior angles

Solution,

Given,

All sides of triangle are equal.

AB=BC=AC

<ABC=<ACB=<BAC=y

By angle sum property of triangle,

<ABC+<BCA+<CAB=180

or y+y+y=180

or 3y=180

or y=180/3

y=60

Now,

<ACB=<CAD

<CAD(x)=60( Alternate interior angles)

Hope this helps ..

Good luck on your assignment..

Quadrilateral J K L M is shown. A diagonal is drawn from point J to point L. Sides K L and J M are parallel. Sides J K and L M are congruent. The length of J L is 18, the length of J K is 16, and the length of J M is 40. Angle M is 45 degrees.

If KM is drawn on this quadrilateral, what will be its length?

Answers

Answer:

KM is 52.55

Step-by-step explanation:

Given that JKLM is a quadrilateral with a diagonal drawn from J to L, we have;

Sides KL is parallel to side JM

Side JK is congruent to side LM

Therefore, sides JK and LM are parallel being the equal distances between two parallel lines

JL = 18, JK = 16, therefore, LM = 16, JM = 40 therefore, KL = 40 (equal distances between parallel lines JK and LM)

∠M = 45° ∴ ∠L = 180° - 45° = 135° (sum of adjacent interior angles of a parallelogram)

By cosine rule, we have;

KM² = LM² + KL² - 2×KL×LM×cos(∠M) = 16² + 40² - 2×16×40×cos(135°)

KM² = 2761.0967

KM = √(2761.0967) = 52.55 units.

Answer:

18

Step-by-step explanation:

Edg 2021

a circle has a radius of 2 meters. find the exact circumference of this circle in terms of pi

Answers

Answer:

See below.

Step-by-step explanation:

The circumference of a circle is [tex]2\pi r[/tex]

We know that the radius is 2 meters, so:

[tex]2(2) \pi[/tex]

[tex]4\pi[/tex] meters.

What is the product ? (Y^2 +3y +7) (8y^2 + y+1)

Answers

Answer:

The answer is D

Step-by-step explanation:

When multiplied together, you get 8y^4+ y^3+ y^2+ 24y^3+ 3y^2+ 3y+ 56y^2+ 7y+ 7, which can be added up to get 8y^4+ 25y^3+ 60y^2+ 10y+ 7.

Answer:

8y^4 + 25y^3 + 60y^2 + 10y + 7

Step-by-step explanation:

Solve the system of equations below by graphing them with a pencil and
paper. Enter your answer as an ordered pair.
y = -x + 5
y= x-3


Someone help please ASAP

Answers

Answer:

(4, 1)

Step-by-step explanation:

Where the 2 lines intercept is where the solution is.

Answer:

Step-by-step explanation:

y=-x+5

y=x-3

I put the atachment .

HELP HELP PLEASEEE RIGHT ANSWER !!!! Flying against the jetstream, a jet travels 5390 miles in 7 hours. Flying with the jetstream, the same jet travels 4760 miles in 4 hous. what is the rate of the jet in still air and what is the rate of the jetstream???

Answers

Answer:

the plane travels 980 mph in still air and the  jet stream is traveling at 210mph

Step-by-step explanation:

a particular city had a population of 24,000 in 1900 and a population of 29,000 in 1920. Assuming that its population continues to grow exponentially at a constant rate, what population will it have in 2000

Answers

Answer:

It will have a population of 61,779 in 2000.

Step-by-step explanation:

The population for the city, in t years after 1900, can be modeled by a exponential function with constant growth rate in the following format:

[tex]P(t) = P(0)(1+r)^{t}[/tex]

In which P(0) is the population in 1900 and r is the growth rate.

Population of 24,000 in 1900

This means that [tex]P(0) = 24000[/tex]

Population of 29,000 in 1920.

1920 is 1920 - 1900 = 20 years after 1900.

This means that P(20) = 29000. So

[tex]P(t) = P(0)(1+r)^{t}[/tex]

[tex]29000 = 24000(1+r)^{20}[/tex]

[tex](1+r)^{20} = \frac{29000}{24000}[/tex]

[tex]\sqrt[20]{(1+r)^{20}} = \sqrt[20]{\frac{29000}{24000}}[/tex]

[tex]1 + r = 1.0095[/tex]

So

[tex]P(t) = P(0)(1+r)^{t}[/tex]

[tex]P(t) = 24000(1.0095)^{t}[/tex]

What population will it have in 2000

2000 is 2000 - 1900 = 100 years after 1900. So this is P(100).

[tex]P(t) = 24000(1.0095)^{t}[/tex]

[tex]P(100) = 24000(1.0095)^{100} = 61779[/tex]

It will have a population of 61,779 in 2000.

HELP!!!!! 70 points I keep help

Answers

Answer:

The answer is the last one because if the diagonals of a quadrilateral bisect each other then it's a parallelogram.

Answer:

Last answer choice

Step-by-step explanation:

One of the prerequisites for a quadrilateral to be a parallelogram is for the diagonals to bisect each other. Since K is the midpoint, this means that it is halfway between the ends of each of the diagonals, and that they therefore bisect each other. Hope this helps!

what's the answer for this question x4 + 6x2 + 5 = 0

Answers

Answer:

x = i or x = -i or x = i sqrt(5) or x = -i sqrt(5)

Step-by-step explanation:

Solve for x:

x^4 + 6 x^2 + 5 = 0

Substitute y = x^2:

y^2 + 6 y + 5 = 0

The left hand side factors into a product with two terms:

(y + 1) (y + 5) = 0

Split into two equations:

y + 1 = 0 or y + 5 = 0

Subtract 1 from both sides:

y = -1 or y + 5 = 0

Substitute back for y = x^2:

x^2 = -1 or y + 5 = 0

Take the square root of both sides:

x = i or x = -i or y + 5 = 0

Subtract 5 from both sides:

x = i or x = -i or y = -5

Substitute back for y = x^2:

x = i or x = -i or x^2 = -5

Take the square root of both sides:

Answer: x = i or x = -i or x = i sqrt(5) or x = -i sqrt(5)

Please help me figure this out! Thank you so much :( i really need it! ❤️

Answers

Answer:

  [tex]\textbf{A. }x=2i\text{ or }x=-2i\\\\\textbf{B. }(x+2i)(x-2i)[/tex]

Step-by-step explanation:

The quadratic can be solved in a straightforward way:

  [tex]x^2+4=0\\\\x^2=-4\qquad\text{subtract 4}\\\\x=\pm\sqrt{-4}\qquad\text{take the square root}\\\\x=\pm2i\qquad\text{simplify}[/tex]

This tells you that the solutions are ...

  2i or -2i

__

For each root of "a", (x -a) is a factor. Thus the factors of the equation are ...

  (x +2i)(x -2i)

When using the identity for the sum of two cubes to factor 125q^6-r^6s^3

Answers

Answer:

a = 5q²

b = r²s

Step-by-step explanation:

The given identity is [tex]a^{3}-b^{3}=(a-b)(a^{2}+ab+b^{2})[/tex]

we have to use this identity to factor of two cubes given as [tex]125q^{6}-r^{6}s^{3}=(5q^{2})^{3}-(r^{2}s)^{3}[/tex]

As this expression is in the form of a³- b³

Here a is 5q² and b is r²s.

Answer:

a=5q2  b=r2s the expression factored is also (5q2-r2s) (25q4+5q2r2s+1r4s2)

Step-by-step explanation:

For each ordered pair, determine whether it is a solution to x=-3.


Answers

Answer: no, no, no, yes

Step-by-step explanation:

x=-3 is a vertical line. It goes straight up and down at x=-3. In order for the points to be on this line, the x-axis has to be -3. Looking at all the choices, all points are not a solution with the exception of (-3,0) which is right on the line.

Answer:

no no no yes

Step-by-step explanation:

i think

k(-1)=
I attached the graph. Please help, thank you in advance.

Answers

I think you go to where x=-1 and the y is the answer

True or False: A test number for the interval -3 < x ≤ 10 could be 0

Answers

Answer:

True.

Step-by-step explanation:

0 is greater than -3 and less than 10.

It is true because -3 is less than 10

A recent report from the American Medical Association claims that for the first time in 10 years, the average salary of psychiatrists was $189,121 with a standard deviation of $26,975. A random sample of 64 psychiatrists this year yielded an average salary of $198,630. Is there evidence that the average salary is actually higher than what the American Medical Association reported

Answers

Answer:

Test statistic

        Z = 2.820 > 1.96 at 0.05 level of significance

Null hypothesis is rejected at 0.05 level of significance

The average salary is actually higher than the reported the average of American  Medical Association

Step-by-step explanation:

Step(i):-

Given data

sample size 'n' = 64

mean of the Population( μ)   =  $189,121

Standard deviation of the Population(σ) =  $26,975

Mean of the sample (x⁻) = $198,630

Step(ii):-

Null hypothesis : H₀ : there is no significance difference between the  means

Alternative Hypothesis :H₁ : The average salary is actually higher than the reported the average of American  Medical Association

Test statistic

               [tex]Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

               [tex]Z = \frac{198630 -189121}{\frac{26,975}{\sqrt{64} } }[/tex]

              Z =  2.820

Level of significance

∝ =0.05

[tex]Z_{\alpha } = Z_{0.05} =1.96[/tex]        

Final answer:-

   Z = 2.820 > 1.96 at 0.05 level of significance

Null hypothesis is rejected at 0.05 level of significance

The average salary is actually higher than the reported the average of American  Medical Association

             

We want to determine if the probability that a student enrolled in an accelerated math pathway is independent of whether the student is female. Which of the following pairs of probabilities is not a useful comparison?
a. 1360/2468 and 116/170
b. 170/2468 and 116/1360
c. 1360/2468 and 170/2468

Answers

Answer:

The correct option is (c).

Step-by-step explanation:

The complete question is:

The data for the student enrollment at a college in Southern California is:

                    Traditional          Accelerated            Total

                  Math-pathway     Math-pathway

Female              1244                       116                   1360

Male                  1054                       54                    1108

Total                  2298                     170                  2468

We want to determine if the probability that a student enrolled in an accelerated math pathway is independent of whether the student is female. Which of the following pairs of probabilities is not a useful comparison?

a. 1360/2468 and 116/170

b. 170/2468 and 116/1360

c. 1360/2468 and 170/2468

Solution:

If two events A and B are independent then:

[tex]P(A|B)=P(A)\\\\\&\\\\P(B|A)=P(B)[/tex]

In this case we need to determine whether a student enrolled in an accelerated math pathway is independent of the student being a female.

Consider the following probabilities:

[tex]P (F|A) = \farc{116}{170}\\\\P(A|F)=\frac{116}{1360}\\\\P(A)=\frac{170}{2468}\\\\P(F)=\frac{1360}{2468}[/tex]

If the two events are independent then:

P (F|A) = P(F)

&

P (A|F) = P (A)

But what would not be a valid comparison is:

P (A) = P(F)

Thus, the correct option is (c).

the number of students failed in chemistry exam is changed from 20 to 12 . what is the decrease percent?​

Answers

Answer:

40%

Step-by-step explanation:

percentage decrease

= [tex] \frac{original - new \: value}{original} \times 100\%[/tex]

Percentage decrease

[tex] = \frac{20 - 12}{20} \times 100\% \\ = \frac{8}{20} \times 100\% \\ = 40\%[/tex]

You could also first calculate the percentage change then get rid of the negative sign to find percentage decrease.

percentage change

= (new -original)/original ×100%

= (12 -20)/20 ×100%

= -40%

Thus, percentage decrease= 40%.

Answer:

p=40%

Step-by-step explanation:

20-12=8

8=p/100 *20=20p/100=p/5

p=8*5=40

p=40

Help D: An object is dropped from a small plane. As the object falls, its distance, d, above the ground after t seconds, is given by the formula d = –16t2 + 1,000. Which inequality can be used to find the interval of time taken by the object to reach the height greater than 300 feet above the ground?

A.-16t^2+1000<300

B. -16t^2+1000<_ 300

C. -16t^2+1000>_300

D.-16t^2+1000>300

Answers

Answer:

D. [tex]-16t^2+1000>300[/tex] is the correct answer.

Step-by-step explanation:

It is given that Distance, d above ground  with time 't' is given by the formula:

[tex]d = -16t^2+1000[/tex]

The negative sign with [tex]16t^2[/tex] indicates that the distance is decreasing with square of time. i.e. value is getting subtracted from a value 1000.

For example, if t = 0, d = 1000 feet

If t = 2, d = -16[tex]\times[/tex] 4 + 1000 = 936 feet

We can clearly see that when 't' is increasing, the distance 'd' is decreasing.

And at a certain time, the object will be on ground when d = 0 feet.

Inequality for the distance greater than 300 feet i.e.

d > 300 feet

Hence, the inequality will be:

[tex]-16t^2+1000 >300[/tex]  is the correct answer.

Two sides of a triangle measure 5 in. and 12 in. Which could be the length of the third side?

Answers

Answer: 10.9

Step-by-step explanation:

You would use Pythagorean theorem:

5x5+12x12=c

5x5=25

12x12=144

Now, 25+144=169

Now find the square root of 169 which is 13 which isn't an answer choice, which means your prolly after a leg.

I assume 12 is the hypotenuse

A(squared)+5x5=12x12

A+25=144

144-25=119

Square root of 119=10.9

So I'm going to go with answer 10 in or 11 if you round.

Answer:

i think its c

Step-by-step explanation:

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