Answers
a. Okay, so you multiply the 4.7 and 2.9 together, and then add the exponents
13.63 * 10^10
But we are not done. There can only be one digit in front of the decimal point. So, you move the 13.63 back one place so 1.363. But we have to do this to both sides, so the answer is 1.363 * 10^11.
b. Now you divide the 5.8 and 2, and subtract the exponents.
2.9 * 10^-5
The negative exponent is fine in this case if you were wondering.
c. Expand the scientific notation to 1500, then add the 2491 and then put that in scientific notation is what I would do. You can also express 2491 in scientific notation and add them. Either way you will get 3.991 * 10^3
d. Same thing here except with subtraction. The answer is 6.5 * 10^-4.
This was a little long, sorry. Let me know if you need further explanation. I hope this helps.
Related Questions
If cos A = 12/13 , and ∠A is in the fourth quadrant, find the exact value of sin2A.
Answers
Answer: 0.71
Step-by-step explanation:
we have that cos(A) = 12/13
then:
A = Acos(12/13) = 22.62°
But A is in the fourth quadrant, so A is actually 22.62° + 180° = 202.62°
Then Sin(2A) = sin(2*202.62°) = 0.71
Vince began practicing piano at 11:15 P.M He stopped at 11:35 P.M How many degrees did the minute hand turn during Vince practice time? Complete the explanation how you found your answer
Answers
Answer:
Vince began practicing piano at 11:15 P.M
He stopped at 11:35 P.M
=> He practiced in 35 - 15 = 20 mins = 1/3 hour.
=> 1/3 hour means 1/3 circle, the number of degrees the minute hand turned:
N = (1/3) x 360 = 120 deg (1 circle = 360 deg)
Hope this helps!
:)
120 degrees
*Explanation*
A clock is a circle and therefor has 360 degrees. To find how many degrees are in a five minute time span, divide 360 by 12 (the amount of five minute “chunks”)
360/12 = 30
Between 11:15 and 11:35, 20 minutes pass. 20/5 = 4, which means there are 4 five minute intervals. Multiply that by 30, the amount of degrees in every five minute “chunk”
4 x 30 = 120
That means the hand moved 120 degrees.
Hope I could help.
Find the radius of a cylinder with volume
351.9 cubic cm and height 7 cm.
Answers
Answer:
4
Step-by-step explanation:
Answer:
4 cm
Step-by-step explanation:
Volume of cylinder = [tex]\pi[/tex]r²h
Radius = [tex]\sqrt{\frac{V}{\pi h} }[/tex]
Radius = [tex]\sqrt{\frac{351.9}{\pi 7} }[/tex]
Radius = [tex]\sqrt{\frac{351.9}{21.98} }[/tex]
Radius ≈ [tex]\sqrt{16}[/tex]
Radius ≈ 4
So, the radius is about 4 cm.
y = 5x – 6
Identify the y-intercept of the
following equation.
Answers
Answer:-6
Step-by-step explanation:
Answer:
ez
Step-by-step explanation:
6 negative
Suppose you deposit $1500 in a savings account that pays interest at an annual rate of 6% if no money is added or withdrawn from the account answer the following questions how much will be in the account in four years how much will be in the account after 16 years how many years will it take for the account to contain $2000 How many years will it take for the account to contain $2500
Answers
Answer:
In 4 years = $1,893.72
In 16 years = $3,810.53
years to contain $2,000 = 4.9371454128
years to contain $2,500 = 8.766692911
Step-by-step explanation:
In 4 years
A = 1,500 (1 + 0.06)^4
= $1,893.72
In 16 years
A = 1,500 (1 + 0.06)^16
= $3, 810.53
to find number of years
t = ln (A/P) / ln (1+r)
when A = 2,000
t = ln(2,000/1,500) / ln(1+0.06)
= 4.9371454128 years
when A = 2,500
t = ln(2,500/1,500) / ln(1+0.06)
= 8.766692911 years
PS: You can also use log in place of ln
The number of years it will take for the account to contain $2000 is 4.94 years while it will take 8.77 years to contain $2500.
Calculation of future value and the number of years it takesLet:
PV = Present value = $1,500
r = Interest rate = 6%, or 0.06
n = number of years
FVn = Future value after a certain number of years
Therefore, we have:
The amount that will be in the account in four years can be calculated using the future value (FV) formula as follows:
FV4 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^4 = $1,893.72
Therefore, the amount that will be in the account in four years is $1,893.72.
The amount that will be in the account after 16 years can also be calculated using the future value (FV) formula as follows:
FV16 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^16 = $3,810.53
Therefore, the amount that will be in the account after 16 years is $3,810.53.
The number of years will it take for the account to contain $2000 can be calculated using the following formula:
n = (log(FV/PV)) / (log(1+r)) = (log($2,000/$1,500)) / (log(1+0.06)) = 0.1249387366083 / 0.0253058652647703 = 4.94 years
Therefore, the number of years it will take for the account to contain $2000 is 4.94 years.
The number of years it will take for the account to contain $2500 can be calculated using the following formula:
n = (log(FV/PV)) / (log(1+r)) = (log($2,500/$1,500)) / (log(1+0.06)) = 0.221848749616356 / 0.0253058652647703 = 8.77 years
Therefore, the number of years it will take for the account to contain $2000 is 8.77 years.
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Use the grouping method to factor the polynomial below completely.
3x3 + 9x2 + 4x + 12
O A. (3.2 + 4)(x+4)
O B. (3x2+3)(x + 4)
O c. (3x2 + 4)(x+3)
O D. (3x + 3)(x+3)
Answers
Answer:
C. (3x^2+4)(x+3)
Step-by-step explanation:
3x^3+9x^2+4x+12
=(3x^3+9x^2)+(4x+12)
=3x^2(x+3)+4(x+3)
=(3x^2+4)(x+3)
Therefore, C. (3x^2+4)(x+3)
The correct factor of the polynomial is,
⇒ (x + 3) (3x² + 4)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ 3x³ + 9x² + 4x + 12
Now, We can factor the polynomial as;
⇒ 3x³ + 9x² + 4x + 12
⇒ 3x² (x + 3) + 4 (x + 3)
⇒ (x + 3) (3x² + 4)
Thus, The correct factor of the polynomial is,
⇒ (x + 3) (3x² + 4)
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pls help will mark as brainliest
Answers
Answer:
C F
Step-by-step explanation:
Answer:
2/10 is equivalent to 1:5
6:30 is equivalent to 1:5
8 to 40 is equivalent to 1:5
Step-by-step explanation:
A mill processes 48 tons of flour in 3 hours. How many tons of flour can the mill process in 8 hours if its rate or production stays the same?
Answers
Answer:
128 tons can be processed in 8 hours.
Step-by-step explanation:
48 divided by 3 = 16 (to see how much tons are produced in 1 hr.)
16 x 8
=128
Answer:
128 tons in 8 hours
Step-by-step explanation:
do 48 divided by 3 = 16
to see how much tons get produced in an hr.
then when you do 16x8 which is 128
Drag the tiles to the correct boxes to complete the pairs.
Match each situation to the simulation that represents it.
Althea has to select 1 student
as the class representative
from 13 students.
Fiona is deciding which of three
forests to research for a
geography project: evergreen,
deciduous, or coniferous.
Jenny is picking a marble from
a jar with two green marbles, six
yellow marbles, and two red
marbles.
rolling a six-sided die
selecting a playing card from
the hearts suit
spinning a spinner divided into
five equal sections
Answers
Answer: rolling a six sided die☞︎Fiona forest research
Hearts suit☞︎Althea class representative
Spinner☞︎ Jenny marbles
Step-by-step explanation:
Answer:
Fiona= die
Althea=cards
Jenny=Spinner
Step-by-step explanation:
starting off Fiona has three which can evenly go into six.
Althea has 13 options which matches with the number of suits in the hearts
the Jenny would be spinner because 5 times 2 is 10
Hey guys I need help with this exercise can someone plz help me for 20 points?? Also write the explamation to your answer plzz!
Math problem: 13 of the same cookbooks weigh 442 grams. What is the weight of 10 of these books?
Answers
Answer:
340
Step-by-step explanation:
442 / 13 = 34
34 × 10 = 340
Answer:
340
Step-by-step explanation:
442 / 13 = 34
34 × 10 = 340
100 points!
The following data shows the weight, in pounds, of 6 boxes:
5, 3, 3, 4, 5, 4
What is the value of the mean absolute deviation of the weight of the boxes, and what does it represent about the weight of a box?
A))1.2 pounds; on average, the weight of a box varies 1.2 pounds from the mean of 4 pounds
B))0.7 pound; the weight of 50% of the boxes is greater than 0.7 pound
C)) 1.2 pounds; the weight of 50% of the boxes is greater than 1.2 pounds
D))0.7 pound; on average, the weight of a box varies 0.7 pound from the mean of 4 pounds
Answers
Answer:
The answer is D. Let me know if you don't understand that.
Step-by-step explanation:
Hi!
To find the Mean Absolute Deviation (MAD) of the weight of the boxes, first find the mean.
5 + 3 + 3 + 4 + 5 + 4 = 24
24/6 = 4
Now find the absolute distance from the mean for each of the numbers by subtracting the mean from each of the numbers. It doesn't matter if it's negative.
5 - 4 = 1
3 - 4 = 1
3 - 4 = 1
4 - 4 = 0
5 - 4 = 1
4 - 4 = 0
Now find the mean of those numbers.
1 + 1 + 1 + 0 + 1 + 0 = 4
4/6 = 0.7
So now we know the answer is either B or D.
B. 0.7 pound; the weight of 50% of the boxes is greater than 0.7 pound
D. 0.7 pound; on average, the weight of a box varies 0.7 pound from the mean of 4 pounds
Hope this helps! :)
-Peredhel
The value of the mean absolute deviation of the weight of the boxes is 0.7 pounds
Option D is the correct answer.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
To find the mean absolute deviation, we first need to find the mean weight of the boxes:
Mean = (5+3+3+4+5+4)/6 = 24/6 = 4 pounds
Next,
We calculate the absolute deviations from the mean for each weight:
So,
|5-4| = 1
|3-4| = 1
|3-4| = 1
|4-4| = 0
|5-4| = 1
|4-4| = 0
Then,
We find the mean of the absolute deviations:
(1+1+1+0+1+0)/6 = 4/6 = 0.67 = 0.7
This means that on average, the weight of a box varies by 0.7 pounds from the mean weight of 4 pounds.
Therefore,
The value of the mean absolute deviation of the weight of the boxes is 0.7 pounds (rounded to one decimal place).
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5(x-10)=30-15x
Ox=1
Ox=4
Ox=5
Ox=8
Answers
Answer:
x = 4
Step-by-step explanation:
5x-50=30-15x
5x +15x =30+50
20x= 80
Divide both sides of the equation by 20
x = 4
I hope it helps
Which type of graph would you use to show the number of pages in each book on the bookshelf?
Answers
Answer:
stem and leaf plot
Step-by-step explanation:
:) trust
Twenty-four 4-inch wide square posts are evenly spaced with 5 feet between adjacent posts to enclose a square field, as shown. What is the outer perimeter, in feet, of the fence? Express your answer as a mixed number.
Answers
Answer:
129 1/3
Step-by-step explanation:
According to Alcumus, "There are 20 square posts which are not on a corner, so there are $20/4=5$ square posts on each side, not including the corner posts. Including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts. Altogether the length of a side is $7\left(\frac{1}{3}\right)+6(5)=32\frac{1}{3}$ feet. The perimeter of the square is four times the side length, so the perimeter is $4\cdot 32\frac{1}{3}=\boxed{129\frac{1}{3}}$ feet."
The outer perimeter is 129 1/3 feet.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Twenty-four 4-inch wide square posts are evenly spaced with 5 feet.
So, there are $20/4
=5$ square posts on each side, not including the corner posts.
and, including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts.
Then, the length of a side is
= 7 1/3 + 6(5)
= 32 1/3 feet
and, The perimeter of the square
= 4 x 32 1/3
= 129 1/3 feet
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Functions math, please help
Answers
Answer:
Slope: 2
Y-intercept: (0,-7)
Step-by-step explanation:
2(x-3)=y+1
distribute the 2 through the parentheses
2x-6=y+1
2x+6=0+1
(change the y to 0)
2x-6=1
add 6 to both sides(+6 cancels out -6)
2x=1+6
divide both sides by 2
x=7/2 or x=3.5
hope this helps!
What is the volume of the following rectangular prism?
Answers
Answer:
529 units squared
Step-by-step explanation:
Help I will mark BRAINLIEST if correct please help
Answers
Answer:
[tex](-\frac{1}{4}, \frac{5}{8} )[/tex]
Step-by-step explanation:
If you label the points on the axes, it will show that point K is actually on [tex]\frac{5}{8}[/tex] not [tex]\frac{3}{4}[/tex]
Solve the system of linear equations by adding or subtracting.
3x + 7y = −17
4x − 7y = 10
Enter your answer as an ordered pair.
Answers
Answer:
3x + 7y = −17
4x − 7y = 10
Add up both sides of 2 equations, then
7x = -7
=> x = 1
=> y =(3 x 1 - 17)/7 = -14/7 = -2
Hope this helps!
:)
Please help please really important question
Answers
Answer: The Median because the distribution is skewed to the right
Step-by-step explanation:
i need help ASAP. you need to be good at fractions.
fill in the missing numbers:
2/3 = _/6 = 12/_ = _/21
Answers
[tex]\frac{2}{3}[/tex]
[tex]\frac{4}{6}[/tex]
[tex]\frac{12}{18}[/tex]
[tex]\frac{14}{21}[/tex]
I hope this helps :)
Answer:
2/3= 4/6= 12/18= 14/21
Step-by-step explanation:
2/3= __/6
you know that that denominator doubles because 3*2=6, so what you do to the denominator you have to do to the numerator and vice versa. 2*2= 4 so the answer would be 4/6
To find 12/__
You should know that everything is equal to 2/3 in this equation. To get from 2 to 12 you need to multiply by 6. what you do to the top you have to do to the bottom. 3*6=18
_/21
You times 2/3 by 7 because 3*7=21.
2*7=14
A dance school offers 5 types of classes: jazz, tap, hip-hop, ballet, and lyrical. It conducts 950 classes over the course of a
year. If it conducts the same number of each type of class, how many jazz classes are given?
19
190
475
945
Answers
Answer:190
Step-by-step explanation:
If there are 950 classes over a year and 5 classes then there are 190 classes per class because 950/5=190
Juanito looked out the window and saw 20 bicycles and skateboards. There were a total 52 wheels. How many of each did he see , steps ?
Answers
Answer:
Let's denote:
x: number of bicycles
y: number of skateboards
Then, we have:
x + y = 20
2x + 4y = 52
=> 2(20 - y) + 4y = 52
=> 2y = 12
=> y = 6 (number of skateboards)
=> x = 14(number of bicycles)
Hope this helps!
:)
-3x+1/2=3/8
Whats x? pls someone help step by step
Answers
Answer:
x = -1/24 = -0.042
Step-by-step explanation:
Step 1 : Simplify 3/8
Step 2 :
Rewriting the whole as an Equivalent Fraction
Step 3 :
Calculating the Least Common Multiple
Equation at the end of step 3 :
24x + 1
——————— = 0
8
Last step:
Solving a Single Variable Equation :
5.2 Solve : 24x+1 = 0
Subtract 1 from both sides of the equation :
24x = -1
Divide both sides of the equation by 24:
x = -1/24 = -0.042
Hope this helps.
Please tell me the answer quick
Answers
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
please help me out! i have a few more of these questions, about 4
Answers
Step-by-step explanation:
You can make a table of values to find the points that belong to the line and then draw the line through those points. Here are some: (-6, -2), (0, -1), and (6, 5). You can use any value for x in your table. Hope this helps!
Answer:
Step-by-step explanation:
put a point in at negative 1 first; that is the y value.
Then, go up 1 then to the right six points. that should result in the next point being at (0,6).
Keep going and draw a line
Ann wants to buy a coffee machine. She knows, that during the holidays, the probability of a discount of more than 10% is 0.87, on weekends, the probability of a discount of more than 10% is 0.38, and on a regular weekday, it is 0.17. On average there are 15 holidays per year, 100 weekends (holiday weekends are excluded) and 250 weekdays. Find the probability of a discount of more than 10% for the randomly chosen day. Find the probability that it was a weekend if it is given that she bought a machine with a discount of more than 10%.
Answers
Answer:
Let's denote:
P(discount on 15 holidays) = P(A) = 0.87
P(discount on 100 weekends) = P(B) = 0.38
P(discount on 250 weekdays) = P(C) = 0.17
=> The probability of a discount of more than 10% for the randomly chosen day: P = P(A) x 15/360 + P(B) x 100/360 + P(C) x 250/360
= 0.87 x 15/360 + 0.38 x 100/360 + 0.17 x 250/360
= 0.26
Given she bought a machine with a discount of more than 10%, the probability that it was a weekend would be:
P = 100/(100 + 250 + 15) = 0.27
Hope this helps!
:)
Answer:
1. 0.256
2. 0.406
Step-by-step explanation:
Total days:
15 + 100 + 250 = 365
P(more than 10% discount)
= (0.87×15/365) + (0.38×100/365) +(0.18×250/365)
= 1871/7300
0.2563013699
P(weekend/more than 10% discount)
= (0.38×100/365) ÷ (1871/7300)
= 760/1871
0.4061998931
At the beginning of the year, students in Mrs. Johnson's class took a survey. It was discovered that 1 /3 of the whole class was born in a summer month. Of those born in the summer, 2 /5 of them were born in July. What fraction of the entire class was born in July?
Answers
Answer:
2/15
Step-by-step explanation:
1/3 × 2/5 = 2/15
please calculate the volume of the cylinder below. use 3.14 as approximation for Pi. (MIDDLE SCHOOL MATH)
Answers
the answer is V≈254.47
Michelle wants to run a total of 15 miles per week. She runs 3 miles
each day d that she runs. Will she meet her goal by running 5 days
per week?
Answers
Answer:
Yes because 3x5 is 15
Step-by-step explanation:
What is the equation of the line passing through the points (-2, 2) and (3,-1)?
A.
5
y=--x+ -
3 3
4
B.
C.
y = x-4
3 4
y=-*+-
5 5
D
y = -3x + 8
Answers
Answer:
Step-by-step explanation:
+ Because of " the line passing through the points (-2, 2) and (3,-1)", that means this line has its equation y = ax + b where
[tex]a=\frac{2-(-1)}{-2-3} =\frac{2+1}{-5} =-\frac{3}{5}[/tex]
So we write its equation: y = -3/5 x + b.
+ Then, now, we replace x = -2 and y = 2 into y = -3/5 x + b for finding b like:
2 = -3/5 * (-2) + b or 2 = 6/5 + b
so b = 2 - 6/5 = 4/5.
And this line has its equation: y = -3/5 x + 4/5.
Mẹthod 2:
we have a formule for a line that passes 2 points [tex](x_{0},y_{0}) , (x_{1},y_{1}) ,x_{0}\neq x_{1}[/tex]
Here is: [tex]\frac{x-x_{0} }{x_{1}-x_{0} } = \frac{y-y_{0} }{y_{1}-y_{0} }[/tex]
Then, we can write for this case:
[tex]\frac{x-(-2)}{3-(-2)} =\frac{y-2}{-1-2} \\\frac{x+2}{5} =\frac{y-2}{-3} \\-3(x+2) = 5( y-2)\\-3x-6=5y-10\\3x+5y-4=0\\or\\y=-\frac{3}{5}x+\frac{4}{3}[/tex]
P.S: You type wrongly the signs?
