Answer: The correct answer is:
5,600,000,000,000 (read "5 trillion, 6 hundred million").
Explanation:
5.6e12 is another way of writing scientific notation. This is the same as
5.6 x 10^12
The power of 10 tells us how many places to move the decimal. This means we move it 12 places. Since the exponent is positive, we are going to make the number larger; this means we move the decimal to the right. Moving it 12 places gives us
5,600,000,000,000
Find the volume of a beverage can that has a height of 8.3 in and a diameter of 2.8 in. Use 3.14 as an approximation
Answer:
V = 51.08 in^3
Step-by-step explanation:
Look at the attachment
Solve the following equation algebraically: x squared = 50
Answer:
x = ±5sqrt(2)
Step-by-step explanation:
x^2 = 50
Take the square root of each side
sqrt(x^2) = ±sqrt(50)
x = ±sqrt(25*2)
We know that sqrt(ab) = sqrt(a) sqrt(b)
x = ±sqrt(25)*sqrt(2)
x = ±5sqrt(2)
Match each statement (term) with its value in relation to 0 (definition).
Match Term Definition
A building is 35 feet tall. A) 2.3
The scuba diver was 35 feet below sea level. B) –7.6
The basement is 7.6 feet below ground. C) –23
Oliver owes his sister $23. D) 35
Erica jumped 2.3 feet above ground. E) −35
Answer:
Building 37 Scuba diver -37 Basement -13.7 Oliver's money -25 Erica's jump 2.5 Positive values are assigned to height above ground. Negative values are assigned to distance below the water surface or below ground, and to money that is owed.
Step-by-step explanation:
Match Term Definition
c
A building is 35 feet tall.
a
The scuba diver was 35 feet below sea level.
b
The basement is 7.6 feet below ground.
d
Oliver owes his sister $23.
e
Erica jumped 2.3 feet above ground.
Idk if its right i hope it is and i hope this helped bye hope u have a wonderful day today you wonderful person.
As per the given statement matching of the term definition are as follow,
A. Building is [tex]35[/tex] feet tall → D. [tex]35[/tex]
B. The scuba diver was [tex]35[/tex] feet below sea level. → E. [tex]-35[/tex]
C. The basement is [tex]7.6[/tex] feet below ground. → B. [tex]-7.6[/tex]
D. Oliver owes his sister [tex]\$23[/tex].→ C. [tex]-23[/tex]
E. Erica jumped [tex]2.3[/tex] feet above ground.→ A .[tex]2.3[/tex]
What is statement?" Statement is defined as sentence which represents the declaration of true or false but not both."
According to the question,
As per given statement we have,
A. Building is [tex]35[/tex] feet tall → D. [tex]35[/tex]
Height is always positive value.
B. The scuba diver was [tex]35[/tex] feet below sea level. → E. [tex]-35[/tex]
Below the sea level , therefore negative value.
C. The basement is [tex]7.6[/tex] feet below ground. → B. [tex]-7.6[/tex]
Below the ground, therefore negative value.
D. Oliver owes his sister [tex]\$23[/tex].→ C. [tex]-23[/tex]
Owes amount represents negative value.
E. Erica jumped [tex]2.3[/tex] feet above ground.→ A .[tex]2.3[/tex]
Above the ground , therefore positive value.
Hence, as per the given statement matching of the term definition are as follow,
A. Building is [tex]35[/tex] feet tall → D. [tex]35[/tex]
B. The scuba diver was [tex]35[/tex] feet below sea level. → E. [tex]-35[/tex]
C. The basement is [tex]7.6[/tex] feet below ground. → B. [tex]-7.6[/tex]
D. Oliver owes his sister [tex]\$23[/tex].→ C. [tex]-23[/tex]
E. Erica jumped [tex]2.3[/tex] feet above ground.→ A .[tex]2.3[/tex]
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What are all the factors of 18?
Answer:
2,3,6,9,18,1
Step-by-step explanation:
Answer:
1,18,2,9,3,6,
Step-by-step explanation:
A new car loses 4% of it's value each month. How much is the car worth after 18 months if it was $19,000 brand new?
Answer:
9112.46
Step-by-step explanation:
Answer:
5320
Step-by-step explanation:
Which of the following is the inverse of F(x) if F(x) =x/22?
Answer:
f(x)=22x
Step-by-step explanation:
Inverse function: Switch x and y and solve for y.
y=x/22
x=y/22
y=22x
Leticia charges $8 per hour to babysit. She babysat Friday night for 4 hours,
and then she babysat again on Saturday. She earned a total of $72. How
many hours did Leticia babysit on Saturday?
Answer:
5 hours
Step-by-step explanation:
so you do 8 times 4
which gives you 32
72 - 32
40 divided by 8
5
Using sine and cosine, explain how you know where the graph of tangent will
have vertical asymptotes and x-intercepts.
Remember how the tangent function is defined as
[tex]\frac{sinx}{cosx}[/tex]
Now where exactly are the vertical assymptotes? Well, where cosx = 0, because anything over 0 is undefined, and where a value is undefined, you are required to draw a vertical assymptote.
Now where exactly are the x interecepts? Well, where sinx = 0, because remember, an x-intercept is where y = 0, or where it crosses the x-axis, meaning where the tangent function is equal to 0.
So the x-intercepts are at where sinx = 0.
Graph of the tangent will have vertical asymptotes when cosine function is 0 and has x intercept when sine function is 0.
What is Tangent function?Tangent function of an angle in a right angled triangle is defined as the ratio of the opposite side to the adjacent side.
Tangent function can be defined as,
f(x) = tan (x) = [tex]\frac{sin(x)}{cos (x)}[/tex]
Vertical asymptote of a function is the line x = m, where the graph of the function will move to infinity when x approaches m.
Here the function is tan (x).
tan (x) → ∞, when [tex]\frac{sin(x)}{cos (x)}[/tex] → ∞
[tex]\frac{sin(x)}{cos (x)}[/tex] → ∞, when cos (x) = 0, then x = ±[tex]\frac{\pi }{2}[/tex], ±[tex]\frac{3\pi }{2}[/tex], .......
Vertical asymptotes will be line through x = ±[tex]\frac{\pi }{2}[/tex], ±[tex]\frac{3\pi }{2}[/tex], ±[tex]\frac{5\pi }{2}[/tex], .....
x intercept is the point, where the y value equals 0.
That is, tan (x) = 0, at the point of x intercept.
[tex]\frac{sin(x)}{cos (x)}[/tex] = 0
⇒ sin (x) = 0
⇒ x = 0, π, 2π, .....
So tan(x) will have the x intercepts at x = 0, π, 2π, .....
Hence the vertical asymptotes and x intercepts of tan function can be found using sine and cosine.
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1) Fred buys a video game disk for $4. There was a discount of 20%.What is
the sales price?
Answer:
$5
Step-by-step explanation:
so 4 dollars is the discount
100-20=80 so
4 dollars =80%
1 dollar=20%
80+20=100
4+1=5
original price=$5
How many more days did Hurley drink between 4 and 5 liters than between 1 and 2 liters?
Answer:
She drank 4 days more
Step-by-step explanation:
8-4=4
Answer : 4 Days
Explanation : 8 - 4 = 4
◊ YusuCr ◊
Plz Help!!
Evaluate. Multiply.
1. 1/2 (12)(6.7 + 8.3) 2. 1/2 (2.1)(1.1 + 5.7) =
Find the area of the figure.
3. A triangle with base 6 in. and height 5 in.
The area equals _____ in.2.
Answer:
1) answer: 90
STEPS: 1/2 * 12 * (6.7 + 8.3)
6*(6.7+8.3)
6*15
90
2) answer: 7.14
STEPS: 1/2 * 2.1 * (1.1 + 5.7)
1/2 * 2.1 * 6.8
2.1 * 3.4
7.14
3) answer: 15
STEPS: area of triangle = 1/2 * base * height
1/2 * 6 * 5
3*5
15
NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: B. 16
Step-by-step explanation:
1,536/6=256
256 squared=16
Answer:
B. 16
Step-by-step explanation:
You need to work on the equation backwards. You know the answer, but you don’t know x. first, you divide 1536 by 6. you will get 256. next, you find the square root of 256. the square root of 256 is 16, so the answer is 16 :)
Philly is beginning to notice that his friends are acting in a way that a align with his standards. He decides to cut people off and go from 15 to 3 close friends. Express this change as a percent I will Mark Brianillyest answer
Answer:
Philly used to have 15 close friends but now he reduced that to an 80%. He now has 3 close friends.
Step-by-step explanation:
15/15 close friends = 100%
3/15 close frienss = 20%
Same thing find the missing number to replace (A)
Answer:
34
opposite interior angle
Answer:
a is the answer it is really easy but if it is not right tell me.
need help ASAP What is the distance between points A and B?
Enter your answer, rounded to the nearest
tenth, in the box.
___units
Answer:
12
Step-by-step explanation:
Answer:
5.3
Step-by-step explanation:
do the math
Given: m∠A = m∠C = 90° AB ║ DC Prove: ∆ABD ≅ ∆CBD
Answer:
Angle-Angle-Side (AAS)
Step-by-step explanation:
Given triangles; ΔABD and ΔCBD
<A = <C = [tex]90^{0}[/tex] (right angle property)
AB ║ DC (given)
Then,
DA ║ CB
<B ≅ <D (congruent property)
DB ≅ BD (similarity property)
<D + <B = <B + <D (complementary angles, and property of triangles)
Therefore by Angle-Angle-Side (AAS),
∆ABD ≅ ∆CBD
PLS HELP WILL MARK BRAINLIEST IM SO CLOSE TO FINISHING
Which net can be folded to form a pyramid?
Answer:
I think 2nd one can be folded to form a pyramid.
Answer:
First one
Step-by-step explanation:
If the function f(x) = x2 has the domain {0, 1, 4, 9), what is its range?
1.
{0, 1, 2, 3}
2.
{0, 1, 16, 81)
3.
{0, -1, 1, -2, 2, -3,3}
4.
{0, -1, 1, -16, 16, -81, 81}
so the right answer is {0,1,16,81}
Look at the attached picture
Hope it will help you
Good luck on your assignment..
The Range of function is, {0, 1, 16, 81}
Option 2 is correct.
The input values to any function is known as domain and output values of function known as range of function.
Given function is, [tex]f(x)=x^{2}[/tex]
Domain is, {0, 1, 4, 9}
Range of function is,
[tex]f(0)=0^{2}=0\\\\f(1)=1^{2}=1\\\\f(4)=4^{2}=16\\\\f(9)=9^{2}=81[/tex]
Thus, Range of function is, {0, 1, 16, 81}
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What is the area of the kite? 20 points.
Answer:
Step-by-step explanation:
i have no idea
Answer:
it is 30 feet AC
Step-by-step explanation:
I had the exact same question on my test last year at school this is the right answer i got it right on the test too. Good Luck!
Mr. Blue drove from Allston to Brockton, a distance of 105 miles. On his way back, he increased his speed by 10 mph. If the journey back took him 15 minutes less time, what was his original speed?
Answer:
His original speed was 60 mph.
Step-by-step explanation:
The average speed formula is shown below:
speed = distance / time
For the first leg of the trip Mr. Blue drove at a speed of "x" mph, for a distance of 105 miles, therefore the time that took to complete the trip is:
time 1 = distance / speed
time 1 = 105 / x h
On the second leg of the trip Mr. Blue drove faster at a speed of "x + 10" mph, so the time it took him to complete the trip was 15 minutes less, therfore:
time 2 = time1 - (15/60) = (105/x) - 0.25 = (105 - 0.25*x)/x h
Applyint the time and speed from the second leg to the average speed formula we have:
x + 10 = {105/[(105 - 0.25*x)/x]}
x + 10 = 105*x/(105 - 0.25*x)
(x + 10)*(105 - 0.25*x) = 105*x
105*x + 1050 -0.25*x² - 2.5*x = 105*x
-0.25*x² -2.5*x + 1050 = 0 /(-0.25)
x² + 10*x - 4200 = 0
x1 = [-(10) + sqrt((10)² - 4*(1)*(-4200))]/2 = 60
x2 = [-(10) - sqrt((10)² - 4*(1)*(-4200))]/2 = -70
Since his speed couldn't be negative the only possible value was 60 mph.
Answer:
60 mph
Step-by-step explanation:
Need help!!! Answer asap!!
Answer:
3
Step-by-step explanation:
line OQ= ON= 4 both are radius of a circle
OP is the hypotenuse of the right triangle= 5
the Pythagorean theorem is a^2+b^2=c^2
OQ^2+QP^2=OP^2
4^2+QP^2=5^2
QP^2= 25-16
QP=√9 =3
hope this work, good luck
Complete the point-shope equation of the the through ( -8,-8)and (-7,9).
Y=
Use exact numbers
Answer:
idk.....................
Answer:
Y= 17x+128
Step-by-step explanation:
y+8=17*(x+8)
Which of the following is a statistical question?
A. What is the average of all your scores this semester?
B. What was your score on the last exam?
Answer: A
Step-by-step explanation: A is the statistical question since it complies many test scores together
PLEASE HELP URGENT!!!!!!
Find m∠P in the diagram.
A) 50 degrees
B) 100 degrees
C) 110 degrees
D) 130 degrees
Answer:
D or C
Step-by-step explanation:
Answer:
The Answer is D 130 degrees
Step-by-step explanation:
The answer is 130 degrees
Since Line SP And line RQ are equal Angle R is 50
Angles P and Q have to be the same so it equals 130
answer number 6 for me asap and i will thank u if its correct
Answer: a
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, thus
x + 5 + x + 7x - 5 = 180, that is
9x = 180 ( divide both sides by 9 )
x = 20 → D
Find the missing length, when you know the perimeter 5+5+?+?= 34
Answer:
they are both 12
Step-by-step explanation:
5+5+12+12=34
You order a backpack for $34 and pens for $2 each. You spend $46, excluding the shipping cost and tax. How many pens do you order?
Let p represent the number of pens. Solve 2p + 34 = 46.
10 pens
40 pens
6 pens
24 pens
Answer:
You bought 6 pens
Step-by-step explanation:
Answer:
6 pens
Step-by-step explanation:
2p+34=46 (subtract 34)
2p=12 (divide)
p=6
PLEASE ANSWER ASAP!!!!!!!!!
What is the volume of the following rectangular prism?
Answer:
28 units²
Step-by-step explanation:
[tex]\frac{8}{3}[/tex]×[tex]\frac{21}{2}[/tex]= 28
Gianna used two refrigerators, each set to a different temperature, to cool two cups of hot liquid.
She placed the first cup in refrigerator A. The temperature, in degrees Fahrenheit, of the liquid in this cup, after x minutes in the refrigerator, is represented by the graphed function.
She placed the second cup in refrigerator B. The temperature, in degrees Fahrenheit, of the liquid in this cup is represented by an exponential function that has a y-intercept of 96 and approaches 38 as x increases.
When Gianna initially placed two cups in the refrigerators, the liquid placed in refrigerator A was ____ than the liquid placed in refrigerator B. The ____ of the two functions implies that refrigerator A is set to a ____temperature than refrigerator B.
1a. Cooler
1b. Warmer
2a. Y-intercepts
2b. End behavior
3a. Lower
3b. Higher
The answers are
1). warmer
2). end behavior
3). higher
When Gianna initially placed the two cups in the refrigerators, the liquid placed in refrigerator A was warmer than the liquid placed in refrigerator B.
The end behavior of the two functions implies that refrigerator A is set to a
higher temperature than refrigerator B.
I hope this really helps