Answer: 6.1e-17
Step-by-step explanation:
the evaluated expression in scientific notation is 6.1 × 10⁻⁵.
To evaluate and express the answer in scientific notation, we can simplify the expression and adjust the decimal point and exponent accordingly.
2.44 × 10⁻¹⁰ ÷ 4 × 10⁻⁶
First, divide 2.44 by 4, which gives us 0.61.
Next, subtract the exponents by applying the division rule for exponents:
10⁻¹⁰ ÷ 10⁻⁶ = 10⁽⁻¹⁰⁻⁽⁻⁶⁾⁾ = 10⁽⁻¹⁰⁺⁶⁾ = 10⁻⁴
Therefore, the simplified expression is 0.61 × 10⁻⁴.
To express the answer in scientific notation, we can move the decimal point one place to the right, resulting in 6.1 × 10⁻⁵.
Hence, the evaluated expression in scientific notation is 6.1 × 10⁻⁵.
Learn more about scientific notation here
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2x − 6 = −6x + 2
work below hurry!!
Answer:
x=1
Step-by-step explanation:
2x-6=-6x+2
8x=8
x=1
Please answer this question... please
Select the graph that represents the equation y= 2/3x-3
A square with sides of length eight units, sits on a graph with its lower left hand corner at the origin (0,0). This square is translated five units up, and seven units left. What are the coordinates of the upper right hand corner after translation? Explain.
PLEASE HELP ME ON THIS QUESTION. I don’t understand. Only answer if you know because you will receive consequences with monitor.
Answer:
The coordinates of the upper right hand corner after translation is (1, 13)
Step-by-step explanation:
Let us revise the rules of translation
If the point (x , y) translated horizontally to the right by h units then its image is (x + h , y) ⇒ T (x , y) → (x + h , y) If the point (x , y) translated horizontally to the left by h units then its image is (x - h , y) ⇒ T (x , y) → (x - h , y) If the point (x , y) translated vertically up by k units then its image is (x , y + k)→ (x + h , y) ⇒ T (x , y) → (x , y + k) If the point (x , y) translated vertically down by k units then its image is (x , y - k) ⇒ T (x , y) → (x , y - k)At first let us find the upper right hand corner of the square
∵ Its lower left hand corner at the origin (0,0)
∵ The length of each side of the square is 8 units
→ To find lower right hand corner add 8 to the x-coordinate of the
lower left hand corner
∴ The lower right hand corner = (0 + 8, 0)
∴ The lower right hand corner = (8, 0)
→ To find upper right hand corner add 8 to the y-coordinate of the
lower right hand corner
∴ The upper right hand corner = (8, 0 + 8)
∴ The upper right hand corner = (8, 8)
Now Let us find the image of this corner after translation
∵ This square is translated five units up
→ Use the 3rd rule above
∴ Add 5 to the y-coordinate of the point (8, 8)
∴ Its image = (8, 8 + 5)
∴ Its image = (8, 13)
∵ The square is translated seven units left
→ Use the 2nd rule above
∴ Subtract 7 from the x-coordinate of the point (8, 13)
∴ Its image = (8 - 7, 13)
∴ Its image = (1, 13)
The coordinates of the upper right hand corner after translation is (1, 13)
3. John has $500 and wants to buy a used car but does not have sufficient money.
He decides to save $80 per week for a number of weeks to make up the deficit.
a. Given that he has $500 at the beginning of the first week, how much will he
have saved at the end of the 2nd, 3rd, 45, and 5 weeks?
b. Make a graph to represent the pattern from part a.
c. Create a function that represents the relationship between weeks (w) and
money (m)
d. Explain each part of your function.
Answer:820
Step-by-step explanation:
Since he got $500 the first week multiply 80x4 which is 320+500 is 820$
At a local store, bananas cost 0.54 per pound , apples cost 2.19 per pound , and oranges cost 1.55 per pound . Aaron bought 3 pounds of each how much money did Aaron pay for his fruit
$0.54 x 2.6 =$1.404
$1.28 x 3.1=$3.968
$1.404 rounds to $1.40
$3.968 rounds to $4
$4 = $ 1.40 = $5.40
:)
Answer:
$12.84
Step-by-step explanation:
to solve this you will just have to multiply the given prices by the three pounds and then add up all the fruits:
0.54 x 3 = 1.62
2.19 x 3= 6.57
1.55 x 3= 4.65
1.62 + 6.57 + 4.65 = 12.84
1 pound of a certain candy cost $8, how many pounds can be purchased for $12?
Answer:
1.5 pounds
Step-by-step explanation:
1 pound costs $8, $1 buys 1/8 pound
$12 buys 12/8=3/2=1.5 pounds
Answer:
12-8= 4
Step-by-step explanation:
one pound of it cost 8 dollars and he only has 12 so subtract 8 from 12 he only has enough to buy 1 pack.
Help me plz plz plz
Answer:
root 1
Step-by-step explanation:
The value of root 1 to any power is equal to 1.
Answer:
AStep-by-step explanation:
10/10 = 1
Hope this helps! <3
Choose the correct written expression for: 25 – (3 x 4).
Answer:
13
Step-by-step explanation:
Answer:
25 minus the product of 3 and 4.
Step-by-step explanation:
PEMDAS
and... I just took the test and it was correct answer.
Olivia and her family are planning a vacation that involves water skiing. Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 an hour to rent the boat.
Complete the table to determine the total cost for 1, 2, 3, and 4 hours.
Answer:
Step-by-step explanation:
Let the number of hours used to rent the boat be represented by h.
Since Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 for every hour used, the expression to calculate the cost for hours used will be:
= $20.50 + $12.25h
where h = number of hours used.
The cost for 1 hour will be:
= $20.50 + $12.25h
= $20.50 + $12.25(1)
= $20.50 + $12.25
= $32.75
The cost for 2 hours will be:
= $20.50 + $12.25(2)
= $20.50 + $24.50
= $45
The cost for 3 hours will be:
= $20.50 + $12.25h
= $20.50 + $12.25(3)
= $20.50 + $36.75
= $57.25
The cost for 4 hours will be:
= $20.50 + $12.25h
= $20.50 + $12.25(4)
= $20.50 + $49
= $69.50
=
you are a contractor installing a brick sidewalk. The portion of the sidewalk will occupancy and area of 100 feet long by 4 feet wide. Each brick will occupy and area 8 inches long by 4 inches wide what is the minimum number of bricks will you need to occupy this area
Answer:
1800 bricks
Step-by-step explanation:
Given
[tex]Sidewalk = 100ft\ by\ 4ft[/tex]
[tex]Brick = 8 in\ by\ 4 in[/tex]
Required
Calculate the minimum bricks needed
To start with, we calculate the area of sidewalk
[tex]Sidewalk = 100ft * 4ft[/tex]
[tex]Sidewalk = 400ft^2[/tex]
Next, we calculate the area of sidewalk
[tex]Brick = 8in * 4in[/tex]
[tex]Brick = 32in^2[/tex]
Divide area of sidewalks by area of bricks to give number of bricks
[tex]Number = \frac{Sidewalk}{Brick}[/tex]
[tex]Number = \frac{400ft^2}{32in^2}[/tex]
Convert units ([tex]ft^2[/tex] to [tex]in^2[/tex])
[tex]Number = \frac{400 * 144in^2}{32in^2}[/tex]
[tex]Number = \frac{57600in^2}{32in^2}[/tex]
[tex]Number = 1800[/tex]
How can you graphically tell if a quadratic equation will have a complex solution?
Answer:
If it does not cross the x axis.
Step-by-step explanation:
If the quadratic equation does not cross the x axis (or more specifically, if the quadratic is an upward opening parabola and the vertex is above the x axis, or if the quadratic is a downward opening parabola and the vertex is below the x axis), it will have no real solution
The fundamental theorem of algebra says that quadratics must have 2 solutions, so the solutions must be imaginary.
MAKING A PERSONAL OR HYPOTHETICAL SITUATION
1. Create or make your own situation that maybe true to your everyday life or personal experience that describe
union, intersection, and difference of two sets, and complement of a set.
Answer:
do you have answer
Step-by-step explanation:
Raul has 50 coupon books to sell.
The total amount of money Raul will make from selling X coupon books is represented by a function.
f(x)=20x
What is the practical domain of the function?
Answer: Domain: {x : 0≤ x ≤50 }
Step-by-step explanation:
Given: The total amount of money Raul will make from selling X coupon books is represented by a function.
[tex]f(x)=20x[/tex]
Domain is the set of x values in a function for which it is defined.Here, X= Number of coupon books .
Raul has 50 coupon books to sell.
So, 0≤ x ≤50 , as it is possible that non of that book will sell.
Hence, Domain: {x : 0≤ x ≤50 }
find the value of x (PLEASE HELP THIS IS a 40 point question)
Answer:
x=40°
Step-by-step explanation:
We have an isosceles triangle RST where the sides RS and ST are congruent, i.e. they have the same length.
One property of isosceles triangles is that the congruent sides form congruent angles with the other side. In other words, the measures of angles R and T are equal.
The sum of the measures of angles R, S, and T is 180°:
[tex]m\angle R+m\angle S+m\angle T =180^\circ[/tex]
Since [tex]m\angle R=2x-10[/tex] , [tex]m\angle T=m\angle R[/tex] and [tex]m\angle S=x[/tex]:
2x-10+x+2x-10 =180
Simplifying:
5x=180+20
Solving:
x=200/5
x=40°
Adriano runs a website that helps writers write better stories. Every month, Adriano receives a subscription fee of $5 from each of the subscribers to his website. The website had 200 subscribers last month. This month 40 new members joined the website and 10 members cancelled their subscription. How much money did Adriano’s online business earn this month
Answer: 1150
Step-by-step explanation: 200 + 40 - 10 x 5 = 1150
200 + 40 = 240
240 - 10 = 230
230 x 5 = 1150
Michael rents a car for one day. The charge is $30 plus the $0.12 per mile. He wants to spend exactly $105. How many miles can he drive?
Answer:
He can drive 625 miles
Step-by-step explanation:
Total spent: $105
$105- $30 charge = $75
$75/$0.12 per mile charge
= 625 Miles
Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard. She found the change of scale below. StartFraction 28 feet minus 7 over 14 feet minus 7 EndFraction = StartFraction 21 over 7 EndFraction Which is Zelie's error?
Answer:
Step-by-step explanation:
Find the complete question
Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard. She found the change of scale below.
Which is Zelie’s error?
Zelie should have divided both numbers by 14.
Zelie should have written the ratio as 28/7.
Zelie should have written the ratio as 14/8.
Zelie should have subtracted 14 from both numbers.
Original length of pool = 28ft
If he found that it need to be 14ft longer then the actual measure = 14th
given equation is;
(28 - 7)/14 - 7 = 14/7
Scale constant = original length/actual length
Scale constant = 28/14
Scale constant = 2
Hence the scale constant is 2
According to the option, Zelei should have divided both numbers by 14.
Answer:
Zelei should have divided both numbers by 14
Step-by-step explanation:
Scott makes $52 for 4 hours of work? How much does Scott make per hour?
Answer:
13
Step-by-step explanation:
52/4=13
$13.40
All I did was divide 52 by 4 to get the answer
Chen rode his skateboard 334 miles in 34 of an hour.
What was his average speed in miles per hour?
_[blank]_ miles per hour
What is the slope of the given lines?
Answer:
hey theres no image?? maybe comment on this so i can help you answer it :)
∠A and \angle B∠B are supplementary angles. If m\angle A=(2x-14)^{\circ}∠A=(2x−14)
∘
and m\angle B=(3x-6)^{\circ}∠B=(3x−6)
∘
, then find the measure of \angle A∠A.
Answer:
∠ A = 66°
Step-by-step explanation:
Supplementary angles sum to 180° thus
∠ A + ∠ B = 180 , substitute values
2x - 14 + 3x - 6 = 180 , that is
5x - 20 = 180 ( add 20 to both sides )
5x = 200 ( divide both sides by 5 )
x = 40
Thus
∠ A = 2x - 14 = 2(40) - 14 = 80 - 14 = 66°
Please help quickly!
Answer:
A
Step-by-step explanation:
You are subtracting 2 from y every step.
help ASAP please will give BRAINLIEST
A car goes from 16 m/s to 2 m/s in 3.5 s. What is the car’s acceleration? SHOW WORK
Answer:
acceleration = -4m/s^2
Step-by-step explanation:
Aceleration = (Final speed - Initial speed)/time
In this case, acceletarion = (2 - 16)/3.5 = -14/3.5 = -4
acceleration = -4m/s^2
For addition, drag tiles onto the board.
To form a group, place one tile on top of another.
-5(-2) =
Answer:
I think the answer you are looking for is 10.
Step-by-step explanation:
-5 x -2 = 10
Which of the following is equal to the expression listed below?
24 + 18
A.
6 + (4 × 3)
B.
6(4 + 3)
C.
(6 + 4)(6 + 3)
D.
(6 × 4)(6 × 3)
Answer:
B
Step-by-step explanation:
Its not (A) because the outcome is 24 x 18
Its not (C) because that would be (10)(9) which is the same as multiplication
Its not (D) because that would be (24)(18) which again is multiplication
We are looking for addition of 24 and 18 which is B
6 x 4= 24
6 x 3=18
24+18
Hope this helps (:
Tomas and Kyle each bought a shirt at the school store. Tomas gave the cashier a $20 bill and received $6.15 in change. Kyle gave the cashier a $10 bill and received $1.06 in change. Which statement about the cost of the shirts is true? Tomas's shirt costs $5.09 more than Kyle's shirt. Kyle's shirt costs $5.09 more than Tomas's shirt. Tomas's shirt costs $4.91 more than Kyle's shirt. Kyle's shirt costs $4.91 more than Tomas's shirt.
Answer:
The answer is C
Step-by-step explanation:
I took the test
Answer:
It is C
Step-by-step explanation:
To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining.
Which equations could you use to find the price of one tire patch? Select all that apply.
Answer:The answers are
4x + 1.9 = 22.2
22.2 - 4x = 1.9
Answer:
C. 4x + 1.9 = 22.2 and E. 22.2 – 4x = 1.9
Step-by-step explanation:
Corey is 6 feet tall. There are 2.54 centimeters in 1 inch. What is corey’s height in centimeters
Answer:
He is 182.88 cm tall
Step-by-step explanation:
6×12= 72
72×2.54= 182.88
In 2019-2020, North Carolina spent $10,632 per student. The per-pupil spending has decreased at 6% per year. If this continues, what will be the per-pupil spending in 4 years?
Answer:
The per-pupil spending will be approximate $8,300 in 4 years
Step-by-step explanation:
Exponential Model
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the current quantity.
An exponential decaying function is expressed as:
[tex]C(t)=C_o\cdot(1-r)^t[/tex]
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The statistics of the years 2019-2020 at North Carolina indicate initial spending of Co=10,632 per student. The decaying rate is r=6% = 0.06 per year, thus the exponential model is:
[tex]C(t)=10,632\cdot(1-0.06)^t[/tex]
[tex]C(t)=10,632\cdot(0.94)^t[/tex]
where t is expressed in years.
We are required to know the expected spending for t= 4 years. Substitute t=4:
[tex]C(t)=10,632\cdot(0.94)^4\approx 8,300[/tex]
The per-pupil spending will be approximate $8,300 in 4 years
Find x and y. Give reasons to justify your solution.
Answer:
122
Step-by-step explanation: