Which number is not in scientific notation?

A: 1.10 ⋅ 103
B: 4.0 ⋅ 1016
C: 7.03 ⋅ 10−2
D: 350 ⋅ 102

Answers

Answer 1

the anser would be c fo it to be in scientific notation you have to have an exponet


Related Questions

A hotel has $504 to buy new pillows. If the cost of each pillow is $6, how many pillows will the hotel be able to buy? A) 78 B) 84 C) 88 D) 96

Answers

Hello there! 
You can use the equation:
504 ÷ 6
84
The hotel can buy 84 pillows.
Hope this helped! :D

Hey there!

504 ÷ 6 = 84

Therefore, the hotel can buy 84 pillows

Hope this helps!

at a shopping mall,4/9 of the shoppers were children and 5/7 of the adults were woman.They were 1/2 as many boys as men.They were 90 more girls than boys. (a) what fraction of the shoppers in the shopping mall were men ? (b) How many shoppers were in the shopping mall ?

Answers

Short Answer: 315 Total Shoppers: (10/63) Men
Step One
Let the children = C
Let the adults = A
Let the Men = M
Let the Women = W
Let the Boys = B
Let the Girls = G
Let the total number of shoppers = T

Find the Fraction of Children
4/9 T = C

Find the fraction of adults
T - 4/9 T = A
5/9 T = A

Find the Fraction of Women
5/7 A = W
(5/7) (5/9) T = W
(25/63) T = W

Find the Fraction of Men 
Note if 5/7 of the adults are women then 2/7 of the adults are men.
2/7 A = M
2/7 5/9 T = M
10/63 = M <<<<<<< Answer for fraction of Men

Find the fraction of Boys. The boys = 1/2 the Men
1/2 M = B  
(1/2)(2/7)(5/9)T = B
5/63 T = B

Find The fraction of Girls
(4/9)T - B  = G
4/9 T - 5/63 T = G
(28 / 63) T - (5/63/)T = G 
(28/63 - 5/63)T = G
(23 /63) T = G

Find the total number of shoppers.
B + 90 =  G
(5/63) T + 90 = (23/63) T 
90 = (23/63)T - (5/63)T
90 = (18/63)T 
90 (63/18) =T
T = 5*63
T = 315   Answer for total number of Shoppers

Note see above for the fraction of men.


what is 30% of 250 =
Compute with percents

Answers

30% of 250 can be written as 0.3 * 250:

0.3(250) = 75

30% of 250 is 75.  Is this what you mean by "compute with percents?"
30%=0.3

250*0.3=75

30% of 250 is 75

Consider a large population with a mean of 150 and standard deviation of 27. a random sample of size 25 is taken from the population. calculate the standard error of the sampling distribution of this sample mean and round your answer to the hundredths place.

Answers

Answer:

Standard error = 5.4

Step-by-step explanation:

We are given that Population Mean, [tex]\mu[/tex] = 150 and Population Standard deviation, [tex]\sigma[/tex] = 27  and sample size, n = 25

Standard error formula for the sampling distribution of this sample mean is given by;

 Standard error = [tex]\frac{\sigma}{\sqrt{n} }[/tex] = [tex]\frac{27}{\sqrt{25} }[/tex] = 5.4

An analogy makes a comparison between objects based on their similar qualities. Cassidy wanted to create an analogy for the motion of atoms in solids, liquids, and gases, so she compared them to marbles in a tray. Which best compares the phases of matter to marbles in a tray? A solid is like the tray being shaken and the marbles moving around it, and a liquid is like the tray being shaken slowly and all the marbles moving in their positions. A solid is like the tray being shaken slowly and all the marbles moving in their positions, a liquid is like the tray being shaken and the marbles moving around it, and a gas is like the tray being shaken hard and the marbles moving vigorously around it. A gas is like the tray being shaken slowly and all the marbles moving in their positions, and a solid is like the tray being shaken hard and the marbles moving vigorously around it. A liquid is like the tray being shaken hard and the marbles moving vigorously around it, and a gas is like the tray being shaken slowly and all the marbles moving in their positions.

Answers

the answer is b hope i help

Answer:

B

Step-by-step explanation:

Identify all of the root(s) of g(x) = (x2 + 3x - 4)(x2 - 4x + 29)

Answers

Answer:

x=-4,1,2+5i,2-5i

Step-by-step explanation:

Given is an algebraic expression g(x) as product of two functions.

Hence solutions will be the combined solutions of two quadratic products

[tex]g(x) = (x^2 + 3x - 4)(x^2 - 4x + 29)\\[/tex]

I expression can be factorised as

[tex](x+4)(x-1)[/tex]

Hence one set of solutions are

x=-4,1

Next quadratic we cannot factorize

and hence use formulae

[tex]x=\frac{4+/-\sqrt{16-116} }{2} =2+5i, 2-5i[/tex]

Answer:

The answer above is correct:

B. 1

C. 4

E. 2+5i

F. 2-5i

Step-by-step explanation:

I got this right on Edg. 2021

a monument stands at level ground. The angle of elevation to the top of the monument taken at a point 405 feet away is 32°. Find the height of the monument.

Answers

you need to find the hypotenuse of this “triangle”. if you draw it out, you are given the adjacent length, an angle and you have to find the hypotenuse. the formula for this is hypotenuse = adjacent / cos Ø
= 405 / cos(32)
= 477.5672534
= 477.57 ft (2dp)

The height of the monument is approximately 253.2 feet.

To find the height of the monument, we can use trigonometry, specifically the tangent function, which relates the angle of elevation to the height and distance from the observation point.

Step-by-Step Solution:

Identify the given values:

Distance from the point: 405 feetAngle of elevation: 32°

Use the tangent function:

tan(θ) = opposite / adjacent

Where θ is the angle of elevation, the opposite side represents the height of the monument (h), and the adjacent side represents the distance from the point (405 feet).

Set up the equation and solve for h:

tan(32°) = h / 405 feet

Using a calculator, find tan(32°):

tan(32°) ≈ 0.6249

So the equation is:

0.6249 = h / 405

Multiply both sides by 405 to solve for h:

h ≈ 0.6249 * 405

h ≈ 253.2 feet

Thus, the height of the monument is approximately 253.2 feet.

The polygon circumscribes a circle find the perimeter of the polygon

Answers

Polygons that encircle a circle contain tangents of similar length, as such the perimeter of the polygon that circumscribes the circle is 76 cm.

What is circumscribing a circle inside a polygon?

The act of circumscribing a circle inside a polygon involves the process of drawing a circle that perfectly fits in the polygon by bisecting two arcs on each side of the polygon and then drawing a circle where all the sides meet in the middle of the polygon.

Polygons that encircle a circle contain tangents of similar length that originate at the same vertex, which explains the computation of the dimensions.

Taking a look at the figure attached, we have:

Two tangents with a length of 19 cmTwo tangents with a length of 9 cmTwo tangents with a length of 4 cmTwo tangents with with a length of 6 cm

Thus, the perimeter of the polygon can be calculated as:

= (19 + 19 + 6 + 6 + 4 + 4 + 9 + 9) cm

= 76 cm

Learn  more about the perimeter of a polygon here:

https://brainly.com/question/15387363

PLEASE HELP ME!!!!!!!! ASAP

Answers

Let's take these one at a time.
A
The A choice is that the y intercept of g(x) < y intercept of f(x). Remember, a y intercept occurs when x = 0
g(x) = 2 * sqrt(x) - 8
g(0) = 2*0 - 8
g(0) = - 8
=======
f(x) = - 4 when x = 0 (you just read it.) - 4 is greater than -8. That's a true statement. Think money. Would you rather be 4 dollars in debt or 8 dollars in debt? 
A: True <<<<<< answer for A.

B
y intercept  occurs when x = 0 The values of f(x) and g(x) have been found in part A.

Are they equal?

The y intercept of g(x) = g(0) = 2*sqrt(0) - 8 = - 8
The y intercept of f(x) = f(x)  = - 4 when x = 0 

Conclusion
They are not equal and B is not the answer.

C
The x intercept occurs when y = 0
g(x) = 0 
0 = 2*sqrt(x) - 8
8 = 2*sqrt(x)
4 = sqrt(x)
x = 16
======
When f(x) = 0, x = 16.

Conclusion
The x intercepts are both 16. This statement is true.
C: True <<<<<< answer.

D
If the condition is anything but equal, the statement is false. g(x) is not greater then f(x).

D <<<<<< False.

1. WHAT DOES IT MEAN TO SOLVE A RIGHT TRIANGLE?
2. HOW CAN YOU SOLVE RIGHT TRIANGLES USING SIMILARITY? THE PYTHAGOREAN THEOREM?
3. WHAT IS THE RELATIONSHIP BETWEEN THE SIDES AND ANGLES MEASURES OF RIGHT TRIANGLES THAT
DESCRIBE TRIGONOMETRIC FUNCTIONS?
4. WHAT ARE THE INVERSE TRIGONOMETRIC FUNCTIONS? HOW ARE THE INVERSE FUNCTIONS USED WHEN
SOLVING RIGHT TRIANGLES?
5. WHAT IS THE RELATIONSHIP BETWEEN THE ANGLE OF ELEVATION AND THE ANGLE OF DEPRESSION?
GIVE AN EXAMPLE OF AN APPLICATION USING THE ANGLE OF ELEVATION OR THE ANGLE OF DEPRESSION.

Answers

Hello there!

1) Solving a right triangle means finding the values of the unknown {most likely a variable} 
2) The picture is for the Similarity in Right Triangles, I couldn't explain it.
     How you can use Pythagorean Theorem: The formula for that is (a^2 + b^2 = c^2). The longest side of a triangle is called the hypotenuse, and the other sides are called legs. You usually use Pythagorean Theorem when you are trying to find an angle of a side. A and B in the formula are the legs and C is the hypotenuse, it makes sense because the hypotenuse is the longest side of the triangle, which means that it has a greater angle than the legs. So say you have a triangle with a leg of 5, a leg of 7, and the hypotenuse is unknown. (If you're a visual person, I also drew it on paint and put it in :P) The formula is a^2 + b^2 = c^2. The ^2 is an exponent, which means that we have to multiply the base by itself that many times. For example, if we had 3^4, we'd have to multiply 3   4 times. (3*3*3*3=81) So 5*5=25 and 7*7=49. It would be better it fill in the formula as you go. So now you have (25+49=c^2). You wouldn't multiply c^2, because we don't know the base yet, it's an unknown, so we keep it at that for a while. So now we just continue with the problem which is basically 25+49 which is 74. (74=c^2) But that's not the answer. We have to find the square root of 74 in order to get the answer because we have to multiply with an exponent, the opposite is square rooting which is what we have to do. (((what sucks is that I reached the max of files to enter for you so your just gonna have to read the rest. sorry))) So the square root of 74 is 8.6. And that's your answer. The legs are 5 and 7, and your hypotenuse is 8.6. But what if you need to find one of the legs. The formula would be a= [tex] \sqrt{c^2-b ^2} [/tex]  ( I hope the insert thing works if it doesn't I said a= square root of c^2-b^2)
I hope you can solve that because I have to go to a testing Class Connect, and I don't think I've learned the other questions yet. I'm sorry, and I hope I've helped!!

Domingo works 40 hours per week as a tire store manager. If he made $29,640 last year, how much was he paid per hour? A. $14.25 B. $16.50 C. $12.25 D. $11.00

Answers

He makes A. $14.25 per hour.

This can be found by dividing 29,640 by 52 (weeks in a year) to get 570. Then divide 570 by 40 (hours per week he works) to get your final answer of $14.25.

I hope this helps!

By dividing Domingo's annual salary of $29,640 by the total number of hours worked in a year (2080 hours), we find that his hourly rate is $14.25.

To determine how much Domingo was paid per hour, we need to follow these steps:

Find the total number of hours Domingo worked in the year. He works 40 hours per week for 52 weeks, so the total is 40 hours/week × 52 weeks/year = 2080 hours/year.Calculate the hourly wage by dividing his total annual salary by the total number of hours worked. He made $29,640 last year, so we do the following calculation: $29,640 / 2080 hours = $14.25/hour.

Therefore, Domingo was paid $14.25 per hour.

Answer: A. $14.25

1. Draw a right triangle with sides 2,2√3, and 4 units. Label all angle measures and sides. Using the side relationships from the figure, show that the following trigonometric identities hold true for either one of the non-right angles:
a. tan 0=sin 0/cos O
b.) sin^2(0)+cos^2(0)=1
where 0 represents whichever angle you choose

FYI...all of the 0 have a line through them
THank you because I don't understand this at all.

Answers

see the picture attached to better understand the problem

we know that
in a right triangle ABC
sin ∅=opposite side angle ∅/hypotenuse
cos ∅=adjacent side angle ∅/hypotenuse
tan ∅=opposite side angle ∅/adjacent side angle ∅

in this problem
opposite side angle ∅=2 units
adjacent side angle ∅=2√3 units
hypotenuse=4 units
so
sin ∅=2/4----> 1/2
cos ∅=2√3/4----> √3/2
tan ∅=2/2√3----> 1/√3----> √3/3

Part a) show that the following trigonometric identities hold true for either one of the non-right angles:
 tan ∅=sin ∅/cos ∅
sin ∅=1/2
cos ∅=√3/2
tan ∅=(1/2)/(√3/2)--> (1/2)*2/√3---> 1/√3--->1/√3*(√3/√3)---> √3/3--> is ok

Part b) show that the following trigonometric identities hold true for either one of the non-right angles:
 sin² ∅+cos² ∅=1
sin ∅=1/2
cos ∅=√3/2
so
(1/2)²+(√3/2)²=1------> 1/4+3/4----> 4/4----> 1=1----> is ok

Without doing any​ computation, decide which has a higher​ probability, assuming each sample is from a population that is normally distributed with mu equals100 and sigma equals 15. explain your reasoning. ​(a)​ p(90less than or equals x overbarless than or equals​110) for a random sample of size nequals 10 ​(b)​ p(90less than or equals x overbarless than or equals​110) for a random sample of size nequals 20

Answers

A has a higher probability bcecause its distributation is larger in magnitude

evaluate the following algebraic expression if a equals 3 and b equals 4 2a^+5b

Answers

replace a and b with their number value:

2a^2 + 5b = 2(3)^2 +5(4)
 do the 3^2 first: 3^2 = 9
 so now you have 2(9) +5(4)
 now multiply both sets of numbers: 2 x 9 = 18 and 5 x 4 = 20
 now add them:

18 +20 = 38




0.04 × 0.61 =
Tell me how to work this out

Answers

0.0244 is the answer
--0.04->6 X 4 =24
X0.61---|^|------|--|
--------<-=-------|--|
--0.04-----------|--|
+2.40------------|--|
--------<-=-------|--|
2.44<---------------|
your answer is 2.44/ 0.04 X 0.61 = 2.44

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Find the area of an equilateral triangle (regular 3-gon) with the given measurement.

6-inch apothem

A = sq. in

Answers

A=√3/4 a²

a is the apothem and A is area:

A=√3/4(6)²

A= 9√3

Answer: 12√3 square inches

Step-by-step explanation:

By the property of equilateral triangle,

Apothem = √3/2 × Side

⇒ Side = 2/√3 × Apothem

Here, apothem = 6 inches

Thus, the side of the given equilateral triangle =  [tex]\frac{2}{\sqrt{3}}\times 6[/tex]

= [tex] \frac{12}{\sqrt{3}}[/tex]

= [tex]4\sqrt{3}[/tex]  unit

Since, For an equilateral triangle,

[tex]\text{ Area} = \frac{\sqrt{3}}{4}\times (\text{ side})^2[/tex]

⇒ The area of the given equilateral triangle = [tex] \frac{\sqrt{3}}{4}\times (4\sqrt{3})^2[/tex]

[tex]=\frac{\sqrt{3}}{4}\times 48[/tex]

[tex]=12\sqrt{3}[/tex]  square inches

What is the difference between 2386 and 7000?

Answers

If you mean 7,000 minus 2386 that would be 4614. If you aren’t looking for subtraction let me know and I’ll try that too.

The amount after 8years will be what

Answers

P=5000
t=8
r=7%=0.07
n=4
Now all of this have to be substituted to the formula
A=5000(1+0.07/4)^(4*8)=5000(1+0.07/4)³²=8711.07

If the radius and height of a cylinder are multiplied by 3, the lateral area of the cylinder is multiplied by

Answers

Answer:
The lateral area would be multiplied by 9

Explanation:
The lateral area of the cylinder can be calculated as follows:
lateral area = 2πrh
where:
r is the radius
h is the height

We are given that:
radius is multiplied by 3. This means that new radius is 3r
height is multiplied by 3. This means that new height is 3h

Substitute in the formula of the lateral area as follows:
lateral area = 2π(3r)(3h)
lateral area = 2*9*πrh
lateral area = 18πrh

Comparing the original lateral area with the new one, we would find that it is multiplied by 9

Hope this helps :)

Q9 Q13.) Find the products AB and BA to determine whether B is the multiplicative inverse of A.

Answers

Hello there!

P.S. The Brainly system is a little too complicated for me to use in order to answer this question correctly. I used another system which I took a screenshot of it. See pictures below for the answers!


Let me know if you have any questions!



In the diagram, what is the measure of angle 1?

A. 135°
B. 125°
C. 15°
D. 45°

Answers

we know that
 angle (3x) and angle (9x) are supplementary angles
so
3x+9x=180°------> 12x=180°------> x=180°/12-----> x=15°

angle (9x) and angle (1) are supplementary angles
so
9x+∡1=180---------> 9*15+∡1=180
∡1=180-9*15---------> ∡1=180-135------> ∡1=45°

the answer is
∡1 is 45°

alternative method
angle 1 = angle 3x----------> vertical angles
∡1=3x-----> 3*15-----> 45°

an aquarium weighs 22.5 lb when empty the aquarium is 30 in long 14 in wide and is filled with water to a depth of 18 in. Water weighs 0.036 pounds per cubic inch. How much does the aquarium weigh when it's full of water

Answers

To get the weight of the aquarium we first calculate the volume of the aquarium.
Volume=(length*width*height)
V=30×14×18
V=7560 in³

But
weight of water is such that for every cubic inches, the weight is 0.036 lb
thus the weight of water will be:
0.036×7560=272.16 lb
Thus the total weight of the aquarium is:
272.16+22.5
=294.66 lb

The weight of the aquarium when it's full of water is 294.66 pounds.

To get the weight of the aquarium we first calculate the volume of the aquarium.

[tex]Volume=(length\times width\times height)[/tex]

[tex]V=30\times 14\times18[/tex]

[tex]V=7560 \ in^3[/tex]

But weight of water is such that for every cubic inches, the weight is [tex]0.036\ lb[/tex]

thus the weight of water will be:

[tex]0.036×7560=272.16 lb[/tex]

Thus the total weight of the aquarium is:

[tex]272.16+22.5[/tex]

[tex]=294.66 \l b[/tex]

The weight of the aquarium when it's full of water is 294.66 pounds.

Which functions represent the arithmetic sequence 8, 1.5, –5, –11.5 . . . ? Check all that apply.

f(n) = –6.5n + 14.5
f(n) = –1.5n + 9.5
f(n) = 6.5n + 1.5
f(1) = 8, f(n + 1) = f(n) – 6.5
f(1) = 8, f(n + 1) = f(n) – 1.5
f(1) = 8, f(n + 1) = f(n) + 6.5

Answers

f(n) = -6.5n + 14.5
f(n) = 8, f(n+1) = f(n) -6.5

The first is the explicit definition, the other one is the corresponding recursive definition. In this sequence we can note that the first term f(1) is 8, the f(0) term is 14.5, and the difference d= -6.5.

Answer:

f(n) = –6.5n + 14.5

f(1) = 8, f(n + 1) = f(n) – 6.5

Step-by-step explanation:

The nth term of an arithmetic sequence is given as

Tn = a + (n-1)d

where a is the first term and d is the common difference between two consecutive terms

From the given sequence,

a = 8, d = 1.5 - 8

d = -6.5

As such, Tn = f(n) = 8 + (n-1)-6.5

= 8 - 6.5n + 6.5

= 14.5 - 6.5n

f(1) = 8

f(n + 1) - f(n) = – 6.5

f(n + 1) = f(n) – 6.5

Can anyone help ME? PLEASE HELP IF I DONT TURN THIS IN BY TOMMOROW I DONT GET TO GO TO NEW YORK AND THAT IS MY DREAM

Answers

∠a = 180 - 65 = 25 (Complementary Angles)

∠b = 180 = 25  -25 = 130 (Angles in a triangle)

∠c = 180 - 130 = 50 (Adjacent angles on a straight line)

∠d = ∠b = 130 (Vertically opposite angles)

∠e = ∠c = 50 (Vertically opposite angles)

∠f = 180 - 90 - 50  = 40 (Angles in a triangle)

∠g = 180 - 65 - 50 = 65 (Angles in a triangle)

∠h = 90 - 65 = 25 (Complementary angles)

*Enjoy your trip to New York!

5 to 2 = __ to 4 and also 14 to 21 = __ to 15

Answers

1) Set up proportions for the ratios:

[tex] \frac{5}{2} = \frac{x}{4} [/tex]

Cross multiply the fractions:

[tex]2x = 20[/tex]

Divide both sides by 2 to get x by itself.

[tex]x = 10[/tex]

5 to 2 is equal to 10 to 4.
------------
2) Set up proportions for the ratios:

[tex] \frac{14}{21} = \frac{x}{15} [/tex]

Cross multiply the fractions:

[tex]21x = 210[/tex]

Divide both sides by 21 to get x by itself:

[tex]x = 10[/tex]

14 to 21 is equal to 10 to 15.
------------
OPTIONAL:
To make 2) easier to solve, simplify 14 to 21.

[tex] \frac{14}{21} / \frac{7}{7} = \frac{2}{3} [/tex]

Then, continue with the problem as described above:

[tex]\frac{2}{3} = \frac{x}{15}[/tex]

[tex]3x = 30[/tex]

[tex]x = 10[/tex]

7 times as much as the sum of 1_3 and 1_4

Answers

If your underscores are supposed to be spaces, the verbal expression translates to 7(13 + 14). 

This becomes 7(27) = 189

A Japanese garden has a circular koi pond in the middle that has a radius of 3 feet. What is the area of the Japanese garden around the koi pond? Use 3.14 for pi. 195.74 ft2 224.00 ft2 252.26 ft2 337.04 ft2

Answers

Area of rectangle = 14 x 16 = 224 ft^2
Area of circle = 3.14 (3^2) = 3.14 x 9 = 28.26 ft^2

so
Area of of the Japanese garden around the  pond = 224 - 28.26 = 195.74 ft^2

answer
195.74 ft^2

Answer: [tex]195.74\ ft^2[/tex]

Step-by-step explanation:

From the given picture, the length of the garden = 16 ft

The width of the garden = 14 ft

Now, the area of the whole garden is given by :-

[tex]\text{Area of whole garden}=length\times width\\\\\Rightarrow\text{Area of  whole garden}=16\times14=224\ ft^2[/tex]

Also, the radius of the circular pond (r)= 3 ft

The area of the circular pond is given by :-

[tex]\text{Area of pond}=\pi r^2\\\\\Rightarrow\text{Area of pond}=(3.14)(3)^2\\\\\Rightarrow\text{Area of pond}=28.26\ ft^2[/tex]

Now, the area of the Japanese garden around the koi pond

= Area of the whole garden - Area of the Koi pond

=[tex]224-28.26=195.74\ ft^2[/tex]

Hence, the area of the Japanese garden around the koi pond is [tex]195.74\ ft^2[/tex]

in a city of 88,000 people, there are 33,000 people under 25 years of age. What percent of the population is under 25 years of age?

Answers

37.5% is what I think the  correct answer is sorry if its wrong

Mr. Smith earns 6% commission on every house he sells. If he earns 9,000, what was the price of the house?

Answers

Do 9000 times 94%
Add it to 9000
Total sum is your answer
commission = 0.06*(sale price) . . . . the relation given in the problem statement
$9000/0.06 = sale price . . . . . . . . .. divide by 0.06
150,000 = sale price . . . . . . . . . . . . . evaluate

The price of the house was $150,000.

The height of a free falling object at time t can be found using the function, h(t) = - 12t2 + 36t. Where h(t) is the height in feet and t is the in seconds. Find the time when the object hits the ground

Answers

For this case we have the following equation:
 h (t) = - 12t2 + 36t
 When the object hits the ground we have:
 - 12t2 + 36t = 0
 We look for the roots of the polynomial:
 t1 = 0
 t2 = 3
 Therefore, the time it takes the object to hit the ground is:
 t = 3 s
 Answer:
 
the time when the object hits the ground is:
 
t = 3 s

Answer:

3 seconds is the time when the object hits the ground.

Step-by-step explanation:

Given the height of a free falling object at time t can be found using the function is given by:

[tex]h(t)=-12t^2+36t[/tex]         ....[1]

where,

h(t) is the height in feet

t is the in seconds.

We have to find the time when the object hits the ground.

⇒h(t) = 0

Substitute this in [1] we have;

[tex]-12t^2+36t =0[/tex]

⇒[tex]12t^2-36t = 0[/tex]

⇒[tex]12t(t-3) = 0[/tex]

⇒t = 0 and t = 3

Since, time cannot be 0.

⇒t = 3 seconds

Therefore, the time when the object hits the ground is, 3 seconds

Other Questions
What is the area of the shaded region to the nearest tenth of a foot?Part a) Explain what formulas you will use to find the area of the shaded area. Par b) Explain how you find the area of the shaded region. What was your thought process? Of the five primary accounting concepts, which one assumes an indefinite future? What were activists trying to reform The results of milgram's research suggest that __________ will follow orders to hurt someone What does the order of DNA bases have to do with the traits of an individual? A family of four (two kids and two parents) spend the day at an amusement park. At the end of the day, the family adds up all of the receipts from their meals: $16.25, $17.96, $3.58, $4.61, $5.23. What is the mean and median cost spent? What does the mean cost represent? Why is the mean cost significantly different from the median cost? Which measurement of central tendency is a better representation of the amount of money that the family spent at the amusement park? Read the following unpunctuated lines from The Courage that My Mother Had" by Edna St. Vincent Millay and answer the question.The golden brooch my mother woreShe left behind for me to wearI have no thing I treasure moreWhich of the following correctly shows the underlined subject(s) and verb(s) and correctly punctuates the independent clauses?The golden brooch my mother woreShe left behind; for me to wear I have no thing I treasure more.---------------------- ---------------The golden brooch my mother wore ------------------She left behind for me to wear; I have no thing I treasure more.------------ -------- -------------The golden brooch my mother wore; ------------------She left behind for me to wear. I have no thing I treasure more.----------- --------- -------------The golden brooch my mother woreShe left behind for me to wear; I have no thing; I treasure more.The little dashes are supposed to be underlines. Which of these accurately describes the process of translation?A) a single amino acid may have more than one codon that translates for it B) a single codon will translate to different amino acids depending on the organisms C) translation build an amino acid from template of DNA D) translation always takes place within the smooth within the smooth endoplasmic reticulum in the cytoplasm Many biologists argue that the euglenoids should be classified as an animal-like protist rather than a plantlike protist hey can you please help me posted picture of question Days after Japan attacked Pearl Harbor, President Franklin D. Roosevelt addressed Congress, asking for a declaration of war. What is the purpose of repetition in this excerpt from his speech? The attack yesterday on the Hawaiian Islands has caused severe damage to American naval and military forces. I regret to tell you that very many American lives have been lost. In addition, American ships have been reported torpedoed on the high seas between San Francisco and Honolulu. Yesterday the Japanese Government also launched an attack against Malaya. Last night Japanese forces attacked Hong Kong. Last night Japanese forces attacked Guam. Last night Japanese forces attacked the Philippine Islands. Last night the Japanese attacked Wake Island. And this morning the Japanese attacked Midway Island. Japan has, therefore, undertaken a surprise offensive extending throughout the Pacific area. The facts of yesterday and today speak for themselves. The people of the United States have already formed their opinions and well understand the implications to the very life and safety of our nation. As Commander in Chief of the army and navy I have directed that all measures be taken for our defense. But always will our whole nation remember the character of the onslaught against us. No matter how long it may take us to overcome this premeditated invasion, the American people in their righteous might will win through to absolute victory. I believe that I interpret the will of the Congress and of the people when I assert that we will not only defend ourselves to the uttermost but will make it very certain that this form of treachery shall never again endanger us. The National Basketball Association (NBA) tried something new in 2006. It started using synthetic basketballs instead of leather basketballs. Leather basketballs are not all exactly the same. They range in their weight and the way they bounce. Synthetic balls, though, could be made so each ball weighed and bounced exactly the same. However, players complained that the synthetic balls were slippery when wet, too sticky when dry, and the material left tiny, painful cuts on their hands similar to paper cuts. After six months, the NBA returned to using leather basketballs.The players were _________ with the synthetic balls. A. obsessed B. bombarded C. impressed D. displeased which process is a feature of webmail? When performing venipuncture on a child's arm the recommended needle gauge size is? According to sternberg, the _____ component of love involves initial thoughts that one loves someone and the longer-term feelings of commitment to maintain love. Find the probability of drawing a heart or a black card from a standard deck of cards Each lawyer in the firm must park ________ car in the assigned space. A wedge-capped capuchin is a species of South American monkeys. They live in groups that typically have one male and several females. Sometimes young males live in a group too in order to help take care of the young. Most groups have a dominant female that often displays aggression toward other females and young males in the group. Which best describes the group behavior of these monkeys? territorial imperative social hierarchy migratory hibernating If you are going to use a pastry bag or paper cone to decorate cakes, it is essential that you are especially careful about the _____ Which purpose best indicates that he is resource is a reliable source of safety information