Answer: Andrew - 1.875 Michael- 3.125
Step-by-step explanation:
If Andrew overtakes in 8 hours, we can divide 15 miles by 8 to see how many miles per hour he goes.
15/8 = 1.875
Then we can multiply 1.875 by 3 to see how much he traveled while walking towards Michael.
1.875*3=5.265- the distance he traveled
Now subtract that by 15 to see how many miles Michael walked.
15-5.625=9.375
That means Michael walked 9.375 miles.
Divide 9.375 by 3 to see how many miles he walked per hour
9.375/ 3 = 3.125
Determine the rule for the number pattern and use it to find the missing values.
Which of the following statements are true about the pattern above?
Select all that are true.
3,7,15 , , , ,....
The 10th term in the pattern will be 30.
Each term in the pattern will be a multiple of 3.
Each term in the pattern will be prime.
Each term in the pattern will be odd.
9514 1404 393
Answer:
Each term in the pattern will be odd.
Step-by-step explanation:
The first differences are ...
7 -3 = 4
15 -7 = 8
These differ by 4, and the second is double the first.
These relationships between the first differences give rise to two possible sequences: a) an exponential sequence; b) a quadratic sequence. We can use a graphing calculator to find the coefficients of each of the patterns.
Exponential Sequence
a[n] = 2·2^n -1
The sequence is 3, 7, 15, 31, 63, 127, 255, 511, 1023, 2047.
The 10th term is 2047.
Quadratic Sequence
a[n] = 2n^2 -2n +3
The sequence is 3, 7, 15, 27, 43, 63, 87, 115, 147, 183.
The 10th term is 183.
__
Based on the above, the only thing we can say about these sequences is that they are all odd numbers.
Clearly, the 10th term is not 30. 7 is not a multiple of 3, so that observation fails immediately. 15 is not prime, so that observation also fails immediately.
_____
Additional comment
The differences of first differences are called "second differences". The differences of those are "third differences". and so on. If you keep taking differences of a sequence described by a polynomial, the n-th differences being constant means the sequence is described by an n-th degree polynomial.
Here, if we assume the 2nd differences are constant at 4, then the sequence is described by a 2nd-degree polynomial. (Similarly, constant first-differences are described by a 1st-degree polynomial--a linear function.)
If sequential levels of differences are all exponential sequences, then the sequence itself is an exponential sequence. As here, it may have a vertical offset. The base of the exponential will be the common ratio of the differences. (Here, the first differences have a ratio of 8/4 = 2, so the sequence could be exponential with a base of 2.)
PLEASE HELP ME WITH THIS DS-9JF-9EJFWEF
PLEASE HELP MEEEEeeee
Answer:
D. 2^7
Step-by-step explanation:
2^3 x 2^4 would equal 128. So, if you do the math for all of them:
A isn't correct because it equals 16.
B isn't correct because it equals 4096.
C isn't correct because it equals 16384.
D is correct because 2^7 is 128.
Hope this helped!
Which expression is equivalent to _?
Answer:
2^-1
Step-by-step explanation:
2^2 *2 / 2^4
We know that 2^2 * 2 = 2^2 *2^1
a^b*a*c = a^(b+c) so 2^2*2*1 = 2^(2+1)+ 2^3
2^3 / 2^4
We know that a^b / a^c = a^(b-c)
2^3 /2^4 = 2^(3-4) =2^-1
The equivalent of the given expression 2² × (2/2⁴) when simplified is; 2⁻¹
How to simplify exponents?We are given the exponents expression;
2² × (2/2⁴)
Let us first multiply out the numerator to get;
2² × 2 = 2³
Thus, our overall expression is;
2³/2⁴
According to laws of exponents;
a^(b)/a^(c) = a^(b-c)
Thus;
2³/2⁴ = 2³⁻⁴
⇒ 2⁻¹
Read more about Exponents at; https://brainly.com/question/11761858
Determine whether each sequence is a geometric sequence. If yes, then state the common ratio.
1, -4, 16, -64, ...
Answer:
This is a geometric sequence with a common ratio of -4
Step-by-step explanation:
Take the second term and divide by the first term
-4/1 = -4
Take the third term and divide by the second term
16/-4 = -4
Take the fourth term and divide by the third
-64/16 = -4
This is a geometric sequence with a common ratio of -4
Express each of the following decimals as a percentage
1.35
solution for class 7
Answer:
135%
Step-by-step explanation:
To represent a decimal to percentage, multiply by 100
1.35 x 100 = 135
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
3. Solve for m:
-5m + 3 - 2m = -7m + 4 + m
A. M=1/2
B. M=-1/2
C. M=-1
D. M= 1
Answer:
c
Step-by-step explanation:
-7m+3=-7m+m+4
m=3-4
m=-1
Express each of the following decimals as a percentage
0.78
solution for class 7
Answer:
78%
Step-by-step explanation:
To represent decimals as percentage, multiply by 100
0.78 x 100 = 78%
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
In this example we have: 0.78 × 100 = 78% (answer). ➥ The ease way: 1) Move the decimal point two places to the right: 0.78 → 7.8 → 78.
Step-by-step explanation:
you answer is 78%
A manufacturer determines that the cost of making a computer component is $4.171717 Write the repeating decimal cost as a fraction and as a mixed number.
Club members wrote a program together, with several people working on each of 4 parts. If the first part of the program required 1/3 of the total time, the second part needed 1/2 of the remaining time, the third part took 30 minutes, and the fourth part took 60 minutes, how many hours did the program take to write?
Answer:
Step-by-step explanation:
4 parts: 1/3 + 1/2 + 30min + 60min
1/3 of an hour is = 20 minutes
1/2 of an hour is 30 minutes
20 + 30 + 30 + 60(1h)= 140 minutes = 2 hours and 20 minutes
The total time did the program take to write is 2 hours and 20 minutes.
It is required to find total time.
What is arithmetic?The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.
Given that:
several people working on each of 4 parts.
First part = 1/3 of the total time,
The second part = 1/2 of the remaining time,
The third part =30 minutes,
Fourth part= 60 minutes,
So, the total time in hour.
4 parts:
1/3 of an hour is = 20 minutes
1/2 of an hour is 30 minutes
Total time=1/3 + 1/2 + 30min + 60min
=20 + 30 + 30 + 60(1h)
= 140 minutes
= 2 hours and 20 minutes.
So, the total time did the program take to write is 2 hours and 20 minutes.
Learn more about arithmetic here:
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Step by step on how to do this plz
So say selling a backpack thats used-like new and the original price is $54.00 how much should I set the price at??
it most be eleven hundred
Please help me asap! I will give brainly!
Answer:
$26
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
3 raffle tickets = $2 certificate
39 raffle tickets = ?
39 divide 3 = 13
13 * 2 = 26
39 raffle tickets = $26 certificate
Identify the constant of proportionality from the table.
X: 4, 5, 7, 9
Y: 32, 40, 56, 72
Divide y by x:
32/4 = 8
40/5 = 8
56/7 = 8
72/9 = 8
The constant of proportionality is 8
Answer:
Divide y by x:
32/4 = 8
40/5 = 8
56/7 = 8
72/9 = 8
The constant of proportionality is 8
Step-by-step explanation:
Valeria bought a 9-foot length of ribbon from which she wants to cut 3-foot pieces. How many pieces can she cut? What will be the length of the leftover piece of ribbon?
help plz
Answer:
She can cut 3 pieces of ribbon.
None will be left over.
In two or more complete sentences, explain how to use ordered pairs of points in f(x) = 3x - 5 and g(x) = x+5/3 to determine if f(x) and g(x) are inverses of each other
Answer:
for any point (x, y), that appears in one function, the point (y, x) must appear in the other function. for any point (x, y), that doesn't appear in one function, the point (y, x) must not appear in the other function.
so if you find any point that doesn't meet the above rules, you can prove that the functions are not inverses of each other.
to prove that they are inverses of each other, you need to check all points in the functions, and there is an infinity of them, so instead, you can write f(x) like this:
y = 3x - 5
solve for x:
y + 5 = 3x
x = (y + 5) / 3
swap x and y:
y = (x + 5) / 3
this is the same as g(x) which, therefore the functions are inverse of each other.
can someone answer this QUICKLY and make it make SENSE please
Answer:
3x6, (3)(6), 6+6+6
Step-by-step explanation:
The are asking which equation matches the situation,...
3 tables, 6 chairs per table = 3 x 6chairs = 18 chairs
3x6
(3)(6)
6+6+6
What they want you to do is put that equation 3x6 in the "Represent the Situation" box and the rest in the "Do not represent Situation" one
What is equivalent to the expression 5x - 4 - 9x +7
A. 4x + 3
B. -4x - 3
C. -4x + 3
D. -x
E. x
Functions, f and g are given by f(x)= 3+ cos x and g(x) = 2x, x is a real number. Determine the value of c for which f(g(x))= g(f(x)) where 0 [tex]\leq[/tex]x<2[tex]\pi[/tex]
Answer:
2 is my answer
Step-by-step explanation:
This is for my math class
Answer:
-25 feet
Step-by-step explanation:
We know that the change in altitude for the air balloon is -1500 feet, all within a span of 60 minutes, which then we are asked what is the rate of change.
To find the rate of change, we have to be able to divide a number by both sides that will not give us a decimal or very odd number. To avoid getting a decimal, divide both sides by 60.
-1500/60 = -25
60/60 = 1
So the rate of change would be -25 feet
solve |x-3|=7 plz help asap I will mark brainliest
Answer:
x=10 or x=-4
Step-by-step explanation:
|x-3|=7
There are two solutions, one positive and one negative
x-3 = 7 and x-3 = -7
Add 3 to all sides
x-3+3 = 7+3 x-3+3 = -7+3
x = 10 x = -4
Well, if we are taking the absolute value, of |x - 3| = 7, then you have a total of two cases. 7 can be either positive or negitive.
Knowing this, we can write out our two cases as:
|x - 3| = 7, or
|x - 3| = -7
Using these two equations, we can solve the equations for our values of x:
First Case:
|x - 3| = 7
x - 3 = 7
x = 10
Second Case:
|x - 3| = -7
x - 3 = -7
x = -4
So, our two cases show us that x can equal -4, or 10.
one-half of the people at a game wore hats. two-thirds of those people also wore gloves. one-fourth of those people wearing gloves and hats also wore scarves. 25 of the people had hats and scarves but no gloves. One hundred people had only scarves. If there were 1824 people, how many had scarves
Please give answer as soon as possible
Final Answer: 277 people had scarves.
Step-by-step explanation:
1/2 people wore hats2/3 people wore also wore gloves.1/4 people wore scarves.25 people had hats and scarves. (no gloves)100 people have only scarves.1824 people total1824 / 2 = 912 (Divide by 2 to get the people wearing hats)
912 / 3 = 304 (subtract 304 to get 2/3)
912-304 = 608
608/4 = 152. (people who wore gloves, hats, and scarves.)
152+100+25= 277
Answer:
1111
Step-by-step explanation:
1111223
Please help ASAP!!!!! I would really appreciate it
Answer:
(-2,-5)
Step-by-step explanation:
Because his house is in the same quadrant as the city park (quadrant 3) the answer's coordinates will have x=a negative number and y= a negative number. So, the answer will be (-2,-5).
Hope this helps!
help plz its due tomorrow
Answer:
Go to Slader.com and select the grade lvl and click the page number
Step-by-step explanation:
hope this helps
Slader.com
Step-by-step explanation:
Mr. Jacobs is going to make a histogram of the test scores from the last math test he gave. He plans to first organize the data into a stem-and-leaf plot and then make the histogram from the stem-and-leaf plot. The test scores are listed below.
79, 82, 65, 61, 94, 97, 84, 77, 89, 91, 90, 83, 99, 71, 68, 77, 87, 85
How many bars will his histogram have?
3
4
5
6
Help, I need somebody… HELP!!!!!
A map is drawn to a scale of 1 : 20 000.
The actual area of the grassland is 2.5 hectares. Calculate the area on the map, giving your answer in square centimetres. ( 1 hectare = 10 000 m² )
pls help thank you:>
Answer:
0.625 cm²Step-by-step explanation:
Scale factor:
k = 1/20000When applied to the area consider k² as a scale factor.
The actual area:
2.5 hectares = 25000 m² = 25000*100² cm² = 250000000 cm²The area on the map:
250000000 * (1/20000)² = 0.625 cm²PLEASE HEEELPPP 15 POINTS PLESSEE
Choose a number line to model the following situation:
The temperature outside rose 15° and then dropped 15°. (4 points)
a
A vertical number line is shown with labels at 0 and 15. A red arrow (labeled dropped 15 degrees) begins at 15 and ends at 0. A purple arrow (labeled rose 15 degrees) begins at 0 and ends at 15.
b
A vertical number line is shown with labels at negative 15, 0, and 15. A red arrow (labeled dropped 15 degrees) begins at 0 and ends at negative 15. A purple arrow (labeled rose 15 degrees) begins at 0 and ends at 15.
c
A vertical number line is shown with labels at negative 15, 0, and 15. A red arrow (labeled dropped 15 degrees) begins at 15 and ends at 0. A purple arrow (labeled rose 15 degrees) begins at negative 15 and ends at 0.
d
A vertical number line is shown with labels at 0, negative 15, and negative 30. A red arrow (labeled dropped 15 degrees) begins at 0 and ends at negative 15. A purple arrow (labeled rose 15 degrees) begins at negative 15 and ends at negative 30.
Answer: A
Step-by-step explanation: It is showing that the temp Atari is raising by 15 ( +15) then dropping by 15 (-15)
Hope this Helps :))
What evidence supports a conservation law?
Carbon dioxide becomes glucose and oxygen during photosynthesis.
Hydrogen is made from the breakdown of carbon dioxide during photosynthesis.
Chlorophyll converts sunlight to chemical energy during photosynthesis.
Glucose and oxygen become carbon dioxide and water during photosynthesis.
Answer:
Chlorophyll converts sunlight to chemical energy during photosynthesis.
Step-by-step explanation:
Three forms of energy come into play in the functioning of an ecosystem:
* the electromagnetic radiation of short-wavelength (light),
* the electromagnetic radiation of long-wavelength (infrared: heat),
* chemical energy (in the form of organic molecules: sugars, etc.).
The conversion of light energy into chemical energy takes place in plants: it's photosynthesis.
Answer:
Carbon dioxide react with water and becomes glucose and oxygen during photosynthesis.
Step-by-step explanation:
6CO2 + 6H2O → C6H12O6 + 6O2. This means that the reactants, six carbon dioxide molecules and six water molecules, form glucose and oxygen.( during photosynthesis carbon dioxide and H2O in presence of sunlight and chlorophyll form glucose and oxygen)
