A relief package is released form a helicopter at 1600 feet. The height of the package can be modeled by h=16t^2 + 1600, where h is the height of the package in feet and t is the time in seconds. The pilot wants to know how long it will take for the for the package to hit the ground.

a. Write the equation
b. solve the equation

Answers

Answer 1

The equation is h(t) = -16t2 + 1600.
When the package hits the ground, h(t) = 0: 0 = -16t2 + 1600 To solve by factoring: 0 = -16(t2-100)0 = -16(t+10)(t-10) t = -10 and +10 seconds.

Since we aren't interested in negative time, t = 10 seconds.

Answer 2

Hello there!
To answer this question you will jave to do the following steps:
Steps:
0 = -16(t2-100)0
= -16(t+10)(t-10) t =
-10 and +10 seconds.

So the answer would be:
Answer: t=10
or
t=10 sec

Hoping this helsp you!
-Ari.

Related Questions

Sabra joins a cooking club for $8.50 and pays $6.25 each month. She also joins a movie club for $12 and pays $3.75 each month. Write an expression that represents the total amount of money Sabra spends on both clubs after m months. Then enter the simplified expression in the boxes.

Answers

Answer: The simplified express is 10m + 20.5 where m represents the total number of months.

To start we can write the following two expressions for her expenses.
8.5 + 62.5m and 12 + 3.75m

Then, adding the two expressions together will give us a combined expression of: 10m + 20.5

Total amount of money Sabra spends on both clubs = 20.50 + 10m

Amount paid to join the cooking club = $8.50

Monthly payment at the cooking club = $6.25

Payment for m months at the cooking club = 6.25m

Total money paid at the cooking club = 8.50 + 6.25m

Amount paid to join the movie club = $12

Monthly payment at the movie club = $3.75

Payment for m months at the movie club = 3.75m

Total money paid at the movie club = 12 + 3.75m

Total amount of money Sabra spends on both clubs = Total money paid at the cooking club + Total money paid at the movie club

Total amount of money Sabra spends on both clubs = 8.50 + 6.25m + 12 + 3.75m

Total amount of money Sabra spends on both clubs = 20.50 + 10m

Learn more on addition word problem here: https://brainly.com/question/21405634

What is x- and y- intercept of -7x + 2y= 14

Answers

The y-intercept is (0,7) and the x-intercept is (-2,0).

You have a 64 foot of fencing. What are the dimensions of the rectangle of the greatest area you could enclose?

Answers

In a rectangle, opposite sides are congruent.
Let one side have length x.
The opposite side also has length x.
The lengths of these two sides add to 2x.
The lengths of all 4 sides add to 64, so the lengths of the other 2 sides
add up to 64 - 2x. Each side measures 32 - x.

The rectangle has sides of length x and 32 - x.

The area of the rectangle is

A = LW

A = x(32 - x)

A = 32x - x^2

y = 32x - x^2 is a parabola that opens downward.
The maximum value of the parabola is the vertex on top.

32x - x^2 = 0

(32 - x)x = 0

32 - x = 0 or x = 0

x = 32 or x = 0

Since the parabola is symmetric with respect to the vertical axis, the vertex has x-coordinate 16.

At x = 16, you get maximum area.

Two opposite sides measure 16 ft each.
32 - x = 32 - 16 = 16
The other two opposite sides also measure 16 ft.

Since all sides turned out to have length 16 ft, the rectangle is a square.

Answer: The maximum area is enclosed by a square with side 16 ft.

The expression 12g12g12, g gives the number of kilometers a car can travel using ggg liters of gasoline. How far can this car travel on 5 \dfrac125 2 1 5, start fraction, 1, divided by, 2, end fraction liters of gasoline?

Answers

Answer:
The car can travel 66 miles using 5.5 liters of gasoline

Explanation:
We are given that:
The expression 12*g is used to evaluate the number of miles the car can travel using g liters of gasoline.
Therefore:
miles = 12*g

Now, we are given that the liters of gasoline = 5[tex] \frac{1}{2} [/tex] = 5.5 liters.
To get the number of miles, all we have to do is substitute with the given liters in the above expression as follows:
miles = 12*g
miles = 12 * 5.5
miles = 66 miles

Hope this helps :)

Mrs. Plesich has a 16 1/2 ounce bag of chocolate chips. She will only use 1/4 of the bag for decorating a cake . How many ounces will she use for the decorating.

Answers

16 1/2= 33/2=66/4
66/4 x 1/4 is 66/16
33/8
The answer is 33/8 ounces.

Meghan has a beginning balance of $750 in her checking account. She writes a check for $150 and has a debit transaction of $135. What is her new balance?

Answers

her new balance is her new balance would be 435
heres my math
750-150-135=435

Her new balance is going to be 465 because if she has a balance of 750 and than she writes a check for 150, so you subtract
750-150
Than she has a debit transaction of 135, so you subtract
600-135 giving you 465

How to do a fraction paper

Answers

Step 1: Make sure the bottom numbers (the denominators) are the same.Step 2: Add the top numbers (the numerators), put the answer over the denominator.Step 3: Simplify the fraction (if needed)

What is the perimeter of AEB

Answers

Answer:
18.5 ft

Explanation:
part (a): getting the value of AE:
The two triangles AEB and DEF are similar. Therefore, we can make use of the similar proportionality as follows:
AE / DE = BE / FE
Now, we have:
AE is the unknown we want to find
DE = AE + 2
BE = 7.8 ft
FE = 7.8 + 2.4 = 10.2 ft

Substitute in the above relation and get the value of AE as follows:
AE / DE = BE / FE
AE / (AE+2) = 7.8 / 10.2
10.2 AE = 7.8 AE + 15.6
2.4 AE = 15.6
AE = 6.5 ft

Part (b): getting the perimeter of AEB:
perimeter = AE + EB + AB
perimeter = 6.5 + 7.8 + 4.2
perimeter = 18.5 ft

Hope this helps :)

Answer:

18.5 ft

Step-by-step explanation:

Explanation:

part (a): getting the value of AE:

The two triangles AEB and DEF are similar. Therefore, we can make use of the similar proportionality as follows:

AE / DE = BE / FE

Now, we have:

AE is the unknown we want to find

DE = AE + 2

BE = 7.8 ft

FE = 7.8 + 2.4 = 10.2 ft

Substitute in the above relation and get the value of AE as follows:

AE / DE = BE / FE

AE / (AE+2) = 7.8 / 10.2

10.2 AE = 7.8 AE + 15.6

2.4 AE = 15.6

AE = 6.5 ft

Part (b): getting the perimeter of AEB:

perimeter = AE + EB + AB

perimeter = 6.5 + 7.8 + 4.2

perimeter = 18.5 ft

Hope this helps :)

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168 students play at least one sport 35% of students at the school how many students are at the school

Answers

x= number of students in school

Total number of students multiplied by % equals portion of students

x * 35%= 168
0.35x= 168
divide both sides by 0.35
x= 480

ANSWER: There are 480 students in the school.

Hope this helps! :)

43 + (x -7) =90 find the value of x

Answers

43 + x - 7 = 90

Subtract 36 (-43 +7) from each side

x = 54

43 + (x-7) = 90
43x - 301 = 90
+301 +301
43x = 391
43 43

x = 9.09 or 9

I hope this helps :)

An item selling for $1102 is reduced to $806. To the nearest whole, what is the percent decrease?

Answers

The answer is 296. Hope this helps:)

The 26% decrease would be $1102-$287 which equals $815 while a 27% decrease would be $1102-$298 which also doesn't equal $806. So therefore, the answer is 26.9%because that would equal $1102-$296 which equals $806.

Which of the following points is a solution of y > |x| + 5?

(0,5)

(1, 7)

(7, 1)

Answers

The answer is the second option, (1,7).
Let's put it into the inequality.
7 > |1| + 5
The absolute value of 1 is 1 because it is 1 away from zero. So:
7 > 1 + 5
1 + 5 is 6.
7 > 6

Hope this helps!

Solve for x. 6x^2−2=13

Answers

[tex]6 {x}^{2} - 2 = 13[/tex]
You add both sides by 2
[tex]6 {x}^{2} = 15[/tex]
[tex] \frac{ {6x}^{2} }{6} = \frac{15}{6} [/tex]
[tex] {x}^{2} = \frac{15}{6} [/tex]
[tex] \sqrt{ {x}^{2} } = \sqrt{ \frac{15}{6} } [/tex]
[tex]x = \sqrt{ \frac{15}{6} } [/tex]

15% of the toddlers in a preschool class drink water with their lunch. How many toddlers are in the class if 3 toddlers drink water with their lunch? (a) Draw a model for the situation (if you prefer to use a 100-grid model or ratio table model, that’s fine too!) and label the “part,” “whole,” and “percent.”

Answers

Answer: There are 20 toddlers in the class.

To solve this problem, you can use the percent proportion. I set it up below and then solved it.

part/whole = percent/100

3/x = 15/100

Cross multiply and divide to solve.

15x = 300
x = 20

There are 20 toddlers in the class.

Last year Anthony earned $24,000. After a brief lay-off this year, Anthony's income is $18,500.

What I am basically trying to find is the Percent Of Change and I have to state whether or not the change is an increase or a decrease.

Answers

The answer is 23% Decrease :)

Final answer:

Calculate the percentage change in income, find a decrease of 22.92% from last year to this year.

Explanation:

Given:

Original income = $24,000
Current income = $18,500

Step 1: Calculate the change in income:
Change in income = New income - Original income = $18,500 - $24,000 = -$5,500

Step 2: Calculate the percentage change in income:
Percentage change = [(Change in income) / (Original income)] x 100
= [(-$5,500) / ($24,000)] x 100
= -22.92%

Step 3: Interpretation:
The percentage change is -22.92%, indicating a decrease in income by 22.92%.

What is the rule of 5832,blank,648,216,72,blank,8

Answers

Divide the number by three or multiply by 1/3

Identify the question that is NOT statistical.

A)What is the maximum number of swimmers allowed on a swim team?
B)What were the times of the top five swimmers in the competition?
C)How many people attended on each of a three day competition?
D)How many tickets were purchased by each school for the competition?

Answers

A)What is the maximum number of swimmers allowed on a swim team?

Answer:

A)What is the maximum number of swimmers allowed on a swim team?

Step-by-step explanation:

usatestprep

James surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. The results are shown below.
Bring lunch: 46 males, 254 females
Buy lunch: 176 males, 264 females
The events "male” and "buys lunch” are not independent because
P(buys lunch | male) = P(male) = 0.4.
P(male | buys lunch) = P(male) = 0.3.
P(buys lunch | male) = 0.3 and P(male) = 0.4.
P(male | buys lunch) = 0.4 and P(male) = 0.3.

Answers

46 + 176 = 222 males
254 + 364 = 518

Which is total of 740 people.

The probability of being male is 0.3

46 + 254 = 300 that bring lunch
176 + 264 = 440 that buy their lunch
P(male | buy lunch ) = 0.4

Answer D

The events "male” and "buys lunch” are not independent because

P(buys lunch | male) = 0.3 and P(male) = 0.4.

Option C is the correct answer.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

We are given that,

P(buys lunch | male) = 0.3 (the probability that a male student buys lunch)

P(male) = 0.4 (the probability that a student is a male).

These values suggest that there is a dependence between the two events.

The probability of buying lunch at school may be different for males and females.

The conditional probability P (buys lunch | male) is not equal to the marginal probability P(buys lunch) if the events "male" and "buys lunch" are dependent.

To confirm this,

We would need to calculate the conditional probability

P(buys lunch | female) (the probability that a female student buys lunch).

If this probability is different from 0.3 (the probability for males), then the events "male" and "buys lunch" are dependent.

Therefore,

The events "male” and "buys lunch” are not independent because

P(buys lunch | male) = 0.3 and P(male) = 0.4.

Learn more about probability here:

https://brainly.com/question/14099682

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Coral created a painting that was 4 1/3 ft long and 1 1/3 ft wide.

What was the area of Coral's painting?
Express your answer in simplest form.

A.
ft²

B.
ft²

C.
ft²

D.
ft²

Answers

It is C because I know I am correct

It’s c because I think I’m right

Letitia has 7 1/6 yards of yellow ribbon, 5 1/4 yards of orange ribbon, and 5 1/6 yards of brown ribbion. How much ribbion does she have altogether

Answers

7 1/6+ 5 1/4+ 5 1/6=17 7/12yards of ribbon

To find the total amount of ribbon she has, we need to add up all of the fractions.

First, we need to find the common denominator.

6 × 2 = 12
4 × 3 = 12

Our least common denominator is 12.

Now, we convert the fractions and add.

7 1/6 = 7 2/12
5 1/4 = 5 3/12
5 1/6 = 5 2/12

7 2/12 + 5 3/12 + 5 2/12 = 17 7/12

Hope this helps!

Find the distance represented by 2.6 in. if the scale 1 in. = 50 mi. is used.

Answers

Answer:

10inch

Step-by-step explanation:

heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp

Answers

It's easiest to start with the point-slope form of an equation, [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is the point given.

We have m = 3, [tex]x_1 = 5[/tex], and [tex]y_1 = 10[/tex].

We plug in these values to get
[tex]y-10=3(x-5)[/tex].

We now rearrange to get this into slope-intercept form, [tex]y=mx+b[/tex], by solving for y.

[tex]y=3(x-5)+10\\y=3x-15[/tex]

Answer:
y = 3x - 5

Explanation:
The equation of the line in slope-intercept form is:
y = mx + c
where:
m is the slope
c is the y-intercept

We are given that the slope is 3. Therefore, the equation now is:
y = 3x + c

Now, we need to get the value of c. To do so, we will substitute with the given point (5,10) in the equation and solve for c as follows:
y = 3x + c
10 = 3(5) + c
10 = 15 + c
c = 10 - 15
c = -5

Based on the above, the equation of the line is:
y = 3x - 5

Hope this helps :)

I need help on 4, 5 :)

Answers

what do you need help with? it helps us to know the question!

The weight of a person on or above the surface of the earth varies inversely as the square of the distance the person is from the center of the earth. A particular person weighs 192 pounds on the surface of the earth and the radius of the earth is 3900 miles. Determine the equation that relates weight, W, to the distance from the center of the earth, d, for this person.
Answer choices on picture.

Answers

The question tells us that the weight of a person varies with the square of their distance to the center of the Earth.

Weight = 192 pounds
Radius of the earth = 3900 miles

Let's introduce the constant, k
192 = [tex] \frac{k}{3900 ^{2} } [/tex]
k = 192 * 3900²
k = 192 * 15,210,000
k = 2,290,320,000

Putting the constant k back into the equation, W = [tex] \frac{k}{d ^{2} } [/tex]

W = [tex] \frac{2,290,320,000}{d ^{2} } [/tex]

(OPTION D)

The weight of a person on or above the surface of the earth varies inversely as the square of the distance the person is from the center of the earth.

The distance the person is from the center of the earth: d

W=K/d^2

W=192 pounds, d=R: Radius of the earth=3900 miles
Replacing in the equation above:
192=K/3900^2

Solving for K:
192=K/15,210,000
192*15,210,000=K
2,920,320,000=K
K=2,920,320,000

Then the equation is:
W=K/d^2 and K=2,920,320,000

W=2,920,320,000/d^2

Answer: Option d. W=2,920,320,000/d^2

HEEEEEEEEEEEEEEEEEEEEEEELP

Answers

Answer:
y = 3x - 8

Explanation:
The equation in slope-intercept form is:
y = mx + c
where:
m is the slope
c is the y-intercept

We are given that the slope = 3
Therefore, the equation becomes:
y = 3x + c

Now, we need to get the value of c. We are given that the point (6,10) belongs to the line. Therefore, we will substitute with this point in the equation of the line and solve for c as follows:
y = 3x + c
10 = 3(6) + c
10 = 18 + c
c = 10 - 18
c = -8

Based on the above, the equation of the line is:
y = 3x - 8

Hope this helps :)

Find the measure of side b.

Answers

b=202.25
cos (angle)=adjacent/hypotenuse

Please need help on this any clue any one

Answers

Answer:

Step-by-step explanation:

it makes the most sense

An airplane flying at an altitude of 31,000 feet when it begins its descent for landing. If the runway is 104 miles away, at what angle does the airplane descend?

Answers

the angle the airplane descends is 3.23°

A small pizza has a diameter of 10 inches and cost 7.75 how many square inches of pizza are in a small pizza? what is the cost per square inch?

Answers

The answer is 0.0987

The answer is gonna be 0.0987

Find the interest earned and the balance of the account: P=$650 R=4% T=2 Years

Answers

I have no idea.... Try to ask your teacher or your parents

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(1 point) a) 17 b) 324 c) 19 d) 36 An author uses indirect characterization by all of the following EXCEPT describing the character's physical appearance describing how others respond to the character including dialogue with a regional dialect telling what the character thinks which functional group is found in an ester? circularcircuscircumnavigatecircumferencecircumstanceBased on the shared root, what is the common subject for all the words?circles Which of the following does not apply to Progressivism?Reformers consisted of a diverse group of individuals that did not always agree on reforms.The origins of Progressivism can be traced to a strong faith in Social Darwinism.Many Progressives believed that government should take an active role in the economy and society.