Answer:
7.38×10^3
Step-by-step explanation:
The usual rules of exponents apply.
(20.5×10^7)(3.6×10^-5) = (2.05)(3.6)(10^(8-5)) = 7.38×10^3
_____
Additional comment
You can have your scientific or graphing calculator or your spreadsheet compute this product for you and display the result in scientific notation. You can enter the numbers in scientific notation or in standard form in any calculator or spreadsheet. (For a spreadsheet, the first number would be entered 20.5e7 or 2.05e8.)
The applicable rule of exponents is ...
(10^a)(10^b) = 10^(a+b)
Just as the place values increase by factors of 10 going to the left of the decimal point, so they decrease by factors of 10 to the right. The number 3 in 0.000036 is in the 5th place to the right of the decimal point, so has a place value of 10^-5.
Melissa has 120 kilograms of rice. Her mother sold 105 kilograms. What percent of the rice was sold? with solution :D please
Answer:
225
Step-by-step explanation:
po ang answer ko
please comment if I'm wrong
If A is the center of the circle which of these is/are radii
Answer:
it could be
A to B
A to E
or A to F
all of them would work
Answer:
segments EA, AB, FA
Step-by-step explanation:
These points are all from the circumference, connecting to the radii, A.
9 X 19 + 2 X 57 - 75 = n
Answer:
210
Step-by-step explanation:
juss a fact
Answer:
210
Step-by-step explanation:
First you do 19 times 9 which is 171. Then you do 57 times 2 which is 114. Then you add 171 to 114 which gives you 285. Then you subtract 75 from it and that gives you 210
PLEASE HELP WILL MARK BRAINIEST!!!!!
Answer:
The bisector of a given angle
Step-by-step explanation:
Because, the given picture shows an acute angle and the markings on it are of which you can see when a bisector is being searched for.
Show that the equation y + 8 = 2(4x + 4) is linear and that it represents a proportional relationship between x and y.
Answer:
Step-by-step explanation:
3.8×102+1.7×103 giving answer in standard form
Answer: 5.15 x 10^2
Step-by-step explanation:
3.8 x 103 + 1.7 x 103 = 5 x 103 = 515 = 5.15 x 10^2
A proportional relationship is formed when y = 24 and x = 32. What is the value of y when x = -2? Explain how you solved the problem.
Answer:
-1.5
Step-by-step explanation:
24 : 32 is the ratio between y and x respectively. To change a number but keep the ratio equal, we must divide/multiply both sides by the same amount.
First, we can say that we want to change x to -2. 32/-2 = -16, so we must divide both sides by -16 to keep the ratio but change x to 02
24 : 32 = 24/(-16) : -2 = -1.5 : -2
A Quadrilateral ABCD is rotated 55° about point R to create quadrilateral A' B'C'D'. QUICK. PLEASE
Answer:
2.8
Step-by-step explanation:
Answer:
Step-by-step explanation:
2.8 units
Graph the line of the equation 8x/5 - 2y = -8 using its slope and y-intercept
Answer:
[tex]y=\frac{4}{5}x+4[/tex]
Step-by-step explanation:
You'll need to get this equation in slope-intercept form by solving for y. I do a little extra here to get it in the correct form, but I think it's pretty clear. Let me know if I need to clarify.
[tex]\\\\\frac{8x}{5}-2y=-8\\\\-2y=-\frac{8x}{5}-8\\\\2y=\frac{8x}{5}+8\\\\y=\frac{4}{5}x+4[/tex]
Once it's in slope-intercept form, both the slope and the y-intercept are readily available so you can easily graph it. I graphed both of them in the attached image so you can see that they are the same line.
A factory wants to fill a conical storage tank with sand. The tank has a height of 23.7 meters and a diameter of 21.4 meters.
Calculate the volume of the storage tank to the nearest hundredth.
Answer:
ur mom
Step-by-step explanation:
ur mom + 3= 69
The volume of the storage tank to the nearest hundredth is 2840.04 m³.
Given that, the conical tank has a height of 23.7 meters and a diameter of 21.4 meters.
What is the volume of a cone?The volume of a cone is the amount of space occupied by a cone in a three-dimensional plane. A cone has a circular base, which means the base is made of a radius and diameter.
The volume of a cone formula is 1/3 πr²h.
Put h=23.7 meters and radius = 21.4/2 = 10.7 meters in the volume of a cone formula
That is, 1/3 × 3.14 × (10.7)² × 23.7
= 2840.0389 m³
≈ 2840.04 m³
Therefore, the volume of the storage tank to the nearest hundredth is 2840.04 m³.
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Sean received both the 5th highest and the 5th lowest mark in the class. How many students are there in the class?
Answer:
There are 9 people in the class.
Step-by-step explanation:
Sean received the 5th highest grade in his class meaning that there are 4 people in front of him who got a higher grade. This also means that Sean has 4 people behind him who have lower grades. So,
4+4+1 (Sean himself) = 9 people
The number of students in the class is given by the sum of the frequency
of each score.
There are at least 9 students in the class.Reasons:
When the class scores are arranged in increasing order, we have;
Sean's position = 5 th = The fifth lowest score
Therefore;
The number of scores lower than Sean's score = 4When the scores are arranged in decreasing order, we have;
Sean's position = 5 th = Fifth highest score
Therefore;
The number of scores higher than Sean's score = 4The total number of different scores in the class = 4 + 1 + 4 = 9Given that two or more students can have the same score, the frequency
of each score, determines the number of students in the class, we have;
The number of students in the class, n ≥ 9Learn more about data frequency here:
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So when you are adding fractions how do you know when you need to simplify the numbers and how do you simplify?
Let's look at an example.
We'll add the fractions 1/6 and 1/8
Before we can add, the denominators must be the same.
To get the denominators to be the same, we can...
multiply top and bottom of 1/6 by 8 to get 8/48multiply top and bottom of 1/8 by 6 to get 6/48At this point, both fractions involve the denominator 48. We can add the fractions like so
8/48 + 6/48 = (8+6)/48 = 14/48
Add the numerators while keeping the denominator the same the entire time.
The last step is to reduce if possible. In this case, we can reduce. This is because 14 and 48 have the factor 2 in common. Divide each part by 2.
14/2 = 748/2 = 24The fraction 14/48 reduces to 7/24
Overall, 1/6 + 1/8 = 7/24
combine like terms (3x-2y+z)+(5z-8x-5y)+(-15x+8z)
Answer:
−20−7+14
Step-by-step explanation:
What is 5+5 ..................................................
Answer:
10
Step-by-step explanation:
5+5=10
each hand has five fingers so if you count all of the fingers on both hands, you will get 10
A savings account starts with $2,200. The total amount after 18 months was $2563. What is the annual interest
rate?
Answer:
11%
Step-by-step explanation:
Find the slope of the line on the graph. Write your answer as a fraction or whole number, but a mixed number or decimal.
Answer:
-1/4
Step-by-step explanation:
Rise over run
Rises -1 runs 4
slope = -1/4
\sqrt((x-(1)/(2))^(2))=3.5
Answer:
8
Step-by-step explanation:
sqrt((x-1)/2)^2))=3.5
square root and squared cancel out
(x-1)/2 = 3.5
x-1 = 7
x = 8
Jade recorded how many characters she used in each of her 9 most recent text messages. Here's a
histogram showing her data:
# of messages
2
0
0
20
40
60
80
100 120
# of characters
Which interval contains the median number of characters?
The median of a histogram is the middle element of the histogram.
The interval contains the median number of characters is 20 - 30
The number of characters is given as:
[tex]n = 9[/tex]
The median position is then calculated as:
[tex]Median = \frac{n + 1}{2}th[/tex]
So, we have:
[tex]Median = \frac{9 + 1}{2}th[/tex]
Add 9 and 1
[tex]Median = \frac{10}{2}th[/tex]
Divide 10 by 2
[tex]Median = 5th[/tex]
So, the median is the 5th position.
From the histogram (see attachment), the 5th element is in the interval 20 to 30.
Hence, the interval contains the median number of characters is 20 - 30
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Susanna walked 2/7 of a mile in two over five of an hour what is a unit rate in miles per hour
Answer:
speed = distance/ time so:
(2/7) / (2/5) = (2/7) x (5/2) = 10/14 = 5/7 mph
5/7 = 0.71 miles per hour if you need decimal formatStep-by-step explanation:
Step-by-step explanation:
2/7 miles in 2/5 hours.
to bring this to x miles / 1 hour, we must find the factor for 2/5 to turn into 1.
2/5 × f = 1
f = 5/2
in order to keep the value of the original ratio, we now need to multiply also 2/7 by the same factor (5/2).
2/7 × 5/2 = 10/14 = 5/7
so, the unit rate is 5/7 miles / hour.
which is very slow walking.
The impact on sampling of increasing the sample size is: There is no specific relationship between sample size and sampling error.
Using margin of error, it is found that increasing the sample size results in a smaller sampling error.
The equation for the margin of error is given by:
[tex]M = c\frac{s}{\sqrt{n}}[/tex]
In which:
c is the critical value according to the distribution used.s is the standard deviation, either of the sample or of the population.n is the sample size.From the equation, it can be noted that the margin of error is inversely proportional to the square root of the sample size, hence, increasing the sample size results in a smaller sampling error.
To learn more about margin of error, you can take a look at https://brainly.com/question/25821952
I Keep getting different number help plz
Answer:
x = 2
Step-by-step explanation:
(4+3x)/2 = 5
4+3x = 10
3x = 6
x = 2
Answer:
the answer is two
Step-by-step explanation:
4/2 3x/2=5
2+1.5x=5
-2. -2
1.5x=3
————
1.5. 1.5
3/1.5=2
The area of the Mountain Island Educational State Forest in North Carolina is 3 square miles. What is the area, in square yards, of this forest
The area of the forest in square yards is [tex]9.3 \times 10^6[/tex]
The area of the forest in square miles is given as:
[tex]Area = 3mi^2[/tex]
To convert the area to square yards from square miles, we multiply the area by 3.098 * 10^6.
So, we have:
[tex]Area = 3 \times 3.098 \times 10^6yd^2[/tex]
Evaluate the product
[tex]Area = 9.294 \times 10^6yd^2[/tex]
Approximate
[tex]Area = 9.3 \times 10^6yd^2[/tex]
Hence, the area of the forest in square yards is [tex]9.3 \times 10^6[/tex]
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The median weight of 15 dogs in a pet store is 12 pounds. Which action could change the median?
Answer:
If there was another dog whose weight was greater than or less than 12.
Step-by-step explanation:
12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 4
When we add 4 to the data set we have:
184 ÷ 16 = 11.5
This changed the median.
12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 28
When we add 28 to the data set we have:
208 ÷ 16 = 13
This also changed the median.
By adding dog of weight other than 12 pounds could change the median.
What is median?
The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values.
If we add the dog whose weight is more than 12 pounds, median will increase .
If we add the dog whose weight is less than 12 pounds, then median will decrease.
Hence, adding dog of weight other than 12 pounds could change the median.
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Sierra left $4.50 as a tip for a waiter. This was 18% of the bill before the tip. How much was her bill before adding the tip?
Answer:
25
Step-by-step explanation:
what is 4.5 18% of
100 / 18 = 5.56
4.5 x 5.55... = 25
A container can hold 2400 litres of water. (a) A large tap alone can fill the container in x hours. Write down an expression, in terms of r, for the amount of water that the large tap can dispense per minute. {b) A small tap alone will take 1 hour longer than the large tap to fill the co tainer. Write down an expression, in terms of x, for the amount of water that the small tap can dispense per minute. (c) When both taps are turned on at the same time, they can fill the container in 3 hours. Form an equation in x and shows that it reduces tox? -5x-3=0. X 20.
Answer:
Determine the required value of the missing probability to make the distribution a discrete probability distribution. x p(x) 3 0.23 4 ? 5 0.51 6 0.08 p(4) = nothing (type an inte...
A basketball player made 80 out of 100 attempted free throws what percent of free throws was made ?
Answer:
8/10
Step-by-step explanation:
id hope your have a great day
Answer:
80%
Step-by-step explanation:
80÷100=.8 which is 80%
II
Homework: Secti...
Question 2, 7.1.5
>
Find the critical value Za/2 that corresponds to the given confidence level.
95%
.....
za/2
(Round to two decimal places as needed.)
(
Answer:
2.17
Answer and Explanation:
The critical value of z for 97% confidence interval is 2.17, which is obtained by using a z score table, that is: {eq}P(-2.17 < Z <...
Simple interest ending balance $41,900 at 4% for 2 years?
The simple interest is $3352.
Step-by-step explanation:Using PRT/100, we can find the interest.
=> 41,900 x 4 x 2/100 => 419 x 4 x 2=> $3352Conclusion:Therefore, the simple interest is $3352.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
The table shows the transportation method of employees at a certain company. What percent of the total amount of employees drive a bus to work?
Car: 758
Bus:530
Walk:7
Other:105
Total:1400
Answer:
about 0.38 %
Step-by-step explanation:
Total = 1,400 Employees
Those who drive a bus = 530
530 / 1,400 = 0.378571428571429
round up = about 0.38 %
Factor the following expression completely: 3x^2+9x+6
Answer:
The answer is 3(+1)(+2)
Answer:
3(+1)(+2)
Step-by-step explanation: