Answer:
2.9 as a fraction, and percent.
Step-by-step explanation:
divide it 35÷12=2.9
Decrease 1428g by 38.5%
Answer:
1428 (1-0.385) = 878.22
Step-by-step explanation:
g The population of Little Townville in 2005 was 13,625 people. In 2009 the population grew to 15,325 people. Assume that this trend is linear and the population has been growing like this since 2000. a. Write a function for the population, P, in terms of the number of years since 2000, ????. (6 points) b. What is the slope of the function and what does it represent in the context of the problem. Include units. (5 points) c. What is the vertical intercept of the function and what does it represent? Include units (5 points) d. What do you believe the population was in 2015?
Answer:
a) [tex]P(t) = 11500 + 425t[/tex]
b) The slope is of 425 people, which is by how much the population increases each year.
c) The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.
d) 17,875 people.
Step-by-step explanation:
A linear function that measures population after t years has the following format:
[tex]P(t) = P(0) + at[/tex]
In which P(0) is the vertical intercept, which represents the initial population, and a is the slope, which represents the yearly population.
a. Write a function for the population, P, in terms of the number of years since 2000.
The first step is finding the slope.
Finding the slope:
The slope is the change in the output divided by the change in the input, during a period of time.
The population of Little Townville in 2005 was 13,625 people. In 2009 the population grew to 15,325 people.
This means that in 2009 - 2005 = 4 years, the population increased by 15325 - 13625 = 1700.
So the slope is
[tex]a = \frac{1700}{4} = 425[/tex]
So
[tex]P(t) = P(0) + 425t[/tex]
Finding the initial population:
We want to find P(0), which is the population in 2000. The population of Little Townville in 2005 was 13,625 people, which means that [tex]P(5) = 13625[/tex]. So
[tex]P(t) = P(0) + 425t[/tex]
[tex]13625 = P(0) + 425*5[/tex]
[tex]P(0) = 13625 - 425*5[/tex]
[tex]P(0) = 11500[/tex]
So
[tex]P(t) = 11500 + 425t[/tex]
b. What is the slope of the function and what does it represent in the context of the problem. Include units.
The slope is of 425 people, which is by how much the population increases each year.
c. What is the vertical intercept of the function and what does it represent? Include units
The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.
d. What do you believe the population was in 2015?
2015 is 2015 - 2000 = 15 years after 2000, so this is P(15).
[tex]P(15) = 11500 + 425*15 = 17875[/tex]
17,875 people.
you want to make a playlist with your top 12 favorite songs. in how many different ways can the playlist be made. order matters
Answer:
5 gehhdjjdehdhuhehhebvebejheu
Mr Sharma's monthly salary is 7,500 of which he spends 6,250 every month. What per cent of Salary he saves?
Answer:
16.66%
Step-by-step explanation:
7500-6250=1250
1250/7500 x 100 = 16.66%
7 (w+13)= 35 what the value of w
Answer:
w=-8
Step-by-step explanation:
take both sides and divide by 7
(w+13)=5
subtract both sides by 13
w=-8
A tailor used 6 2/3 yards of fabric to make hats. The amount of fabric needed to make each hat is 5/6 yard. How many complete hats did the tailor make?
Answer: The tailor made 8 complete hats
Step-by-step explanation:
Amount of fabrics available to make hat = 6 2/3 yards
1 hat requires = 5/6 yards
Number of hat to obtain from the available fabric = Amount of fabrics available to make hat / requirement of 1 hat
=(6 2/3) / (5/6)
(20/3) / (5/6)
20/3 x 6/5 = cancelling out, we are left with
4x2= 8 hats
or
(20/3) / (5/6)
6.6666 /0.83333
= 8.00002= 8 hats
Use least common multiple or greatest common divisor to solve the problem.
Three clocks chime every 15 minutes, 39 minutes, and 65 minutes,
respectively. If the three clocks chime together, how much time must pass
before they will chime together again?
Answer:
Step-by-step explanation:
3) 15,39,65
_________
5 )5,13,65
--------------
13 )1,13,13
----------------
| 1,1,1
L.C.M.=3×5×13=195
They will chime together after 195 minutes.
HELP PLZ I HAVE LIKE 20-30 MINUTES PLZ I BEG ILL MARK YOU BRAINLIEST
Answer:
.........(loading)....................
Step-by-step explanation:
...........................
write the number that is 6 less then 8000
Answer:
8000-6=7994 is the required number
The Denver Post reported that, on average, a large shopping center had an incident of shoplifting caught by security 2.3 times every four hours. The shopping center is open from 10 a.m. to 9 p.m. (11 hours). Let r be the number of shoplifting incident caught by security in an 11 -hour period during which the center is open.
Answer:
9 hours
Step-by-step explanation:
The flag football league eventually had 72 kids sign up for the spring season after putting six teams together from the original amount of sign ups they took took it off of everything to make the final rosters how many kids were on the original rosters before removing some players
draw a tape diagram and write an equation to match the situation then solve the equation and put your answer in the context of the situation
Answer:
each team has 12
Step-by-step explanation:
(giving brainiest)
A bottle holds 2 pints. A carton holds 3 cups. What is the total the two containers hold in fluid ounces?
A. 6 fluid ounces
B. 32 fluid ounces
C. 56 fluid ounces
D. 66 fluid ounces
Answer:
C
Step-by-step explanation:
One Pint is 16 fluid ounces, and since their are 2 that would be 32 fluid ounces. Then 1 cup is 8 fluid ounces, and since their are 3 that would be 24 fluid ounces. When added thogether the result would be 56 fluid ounces.
The total that the two containers hold in fluid ounces is 56 fluid ounces.
What are Measurements?Measurement is the method of comparing the properties of a quantity or object using a standard quantity.
Measurement is essential to determine the quantity of any object
Given that,
Capacity of a bottle = 2 pints
Capacity of a carton = 3 cups
We have to convert both of this in to fluid ounces.
1 pint = 16 fluid ounces
Capacity of a bottle = 2 pints = 2 × 16 fluid ounces = 32 fluid ounces
1 cup = 8 fluid ounces
Capacity of a carton = 3 cups = 3 × 8 fluid ounces = 24 fluid ounces
Total capacity of two containers = 32 fluid ounces + 24 fluid ounces
= 56 fluid ounces
Hence the capacity of both containers is 56 fluid ounces.
To learn more about Unit Conversion, click :
https://brainly.com/question/11543684
#SPJ2
help what is 3²×3⁴×3³=?
Answer:
19 683
Step-by-step explanation:
To be able to do this, just remember that for example 3 square which is the number "3^" is 3 x 3 and it is the same for others, like 3^^ is 3 x 3 x 3 x 3.
A calculator is helpful for this question, but still doable without calculator.
Jenny earns $30 a day working part time at a supermarket. Write an expression to represent the amount of money she will earn in d days.
Answer: d($30)
Explanation: $30 times d which d is the number of days.
The frequency table shows the scores from rolling a dice.
Score
Frequency
Answer:
The median is 3.5
Step-by-step explanation:
We want to find the median of the set of values.
First, we need to write the set in ascending order.
We get:
1 five times
2 three times
3 five times
4 two times
5 seven times
6 four times
The median will be the midle value (for example in a set of 5 elements, the middle element is the third one) of this set, then the first part is to write the set, we get:
{1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6}
In this set we have
5 + 3 + 5+ 2 +7 + 4= 26 values
So we will not have a middle value, we need to take the mean of the two middle values (the 13th value and the 14th value)
We can see in the set above that these values are:
3 and 4.
Then we want to take the mean between 3 and 4.
We get:
M = (3 + 4)/2 = 3.5
The median of this set is 3.5
Help pls I’ll give brainliest pls dont answer if you don’t know
Answer:
What are some awnsers :^
what is 1 x 5555 + -6779 . 55555
Answer:
−376601790
Step-by-step explanation:
1
⋅
5
5
5
5
−
6
7
7
9
⋅
5
5
5
5
5
5
5
5
5
−
6
7
7
9
⋅
5
5
5
5
5
Answer:
it's -1,224.55555
Step-by-step explanation:
1 x 55,555 = 55,555
55,555 + -6779.55555 = -1224.55555
hope this helps...
find the geometric mean between 12 and 20 find the answer in radical form or round to the nearest tenth if necessary
Geometric mean of two numbers is squre root of thir product.
Given numbers are 12,20
Geometric mean = √(12*20)
= √240
= 15.49
= 15.5
Mark as brainlist
Milton spilled some ink on his homework paper. He can't read the coefficient of $x$, but he knows that the equation has two distinct negative, integer solutions. What is the sum of all of the distinct possible integers that could be under the ink stain
Answer:
[tex]Sum = -81[/tex]
Step-by-step explanation:
See the comment for complete question.
Given
[tex]c = 36[/tex] ----- Constant
No coefficient of x^2
Required:
Determine the sum of all distinct positive integers of the coefficient of x
Reading through the complete question, we can see that the question has 3 terms which are:
x^2 ---- with no coefficient
x ---- with an unknown coefficient
36 ---- constant
So, the equation can be represented as:
[tex]x^2 + ax + 36 = 0[/tex]
Where a is the unknown coefficient
From the question, we understand that the equation has two negative integer solution. This can be represented as:
[tex]x = -\alpha[/tex] and [tex]x = -\beta[/tex]
Using the above roots, the equation can be represented as:
[tex](x + \alpha)(x + \beta) = 0[/tex]
Open brackets
[tex]x^2 + (\alpha + \beta)x + \alpha \beta = 0[/tex]
To compare the above equation to [tex]x^2 + ax + 36 = 0[/tex], we have:
[tex]a = \alpha + \beta[/tex]
[tex]\alpha \beta = 36[/tex]
Where: [tex]\alpha, \beta <0[/tex] and [tex]\alpha \ne \beta[/tex]
The values of [tex]\alpha[/tex] and [tex]\beta[/tex] that satisfy [tex]\alpha \beta = 36[/tex] are:
[tex]\alpha = -1[/tex] and [tex]\beta = -36[/tex]
[tex]\alpha = -2[/tex] and [tex]\beta = -18[/tex]
[tex]\alpha = -3[/tex] and [tex]\beta = -12[/tex]
[tex]\alpha = -4[/tex] and [tex]\beta = -9[/tex]
So, the possible values of a are:
[tex]a = \alpha + \beta[/tex]
When [tex]\alpha = -1[/tex] and [tex]\beta = -36[/tex]
[tex]a = -1 - 36 = -37[/tex]
When [tex]\alpha = -2[/tex] and [tex]\beta = -18[/tex]
[tex]a = -2 - 18 = -20[/tex]
When [tex]\alpha = -3[/tex] and [tex]\beta = -12[/tex]
[tex]a = -3 - 12 = -15[/tex]
When [tex]\alpha = -4[/tex] and [tex]\beta = -9[/tex]
[tex]a = -4 - 9 = -13[/tex]
At this point, we have established that the possible values of a are: -37, -20, -15 and -9.
The required sum is:
[tex]Sum = -37 -20 -15 - 9[/tex]
[tex]Sum = -81[/tex]
Solve for a.
√7a-10 - √2a+5=0
What is the root? If there is no root, choose none.
-1
1
3
none
Answer:
3
Step-by-step explanation:
√7a-10 - √2a+5=0
√7a-10 = √2a+5
7a-10 = 2a+5
5a = 15
a = 3
What is the percent of decrease from 500,000 to 200,000?
Answer:
500,000 to 200,000 is a 60% decrease.
I want the answer, Due now.
Answer: 60
Step-by-step explanation:
180 degrees because of the line so 180-120 = 60
Answer:
Its 60⁰ I'm positive....
Subtract. (12+8i)−(7+4i) Enter your answer in the box.
Answer:
5+12i
Step-by-step explanation:
So 12-7 = 5 and 8i+4i=12i and that equals 5+12i
Rectangle M was dilated to form rectangle M'.
6
4
WA
M
2
M'
What ratio is the scale factor?
Answer:
3/2 or answer D
Step-by-step explanation:
just took it on edg
Find dy/dx by implicit differentiation.
cot(y) = 9x – 7y
dy/dx = ?
Answer:
Step-by-step explanation:
Victoria opens a saving account with $200. She earns 1.6% interest. How much will she have after 4 years?
Answer:
i think it is 212.8
Step-by-step explanation:
Answer: it’s 212.8
Step-by-step explanation:
Jake feeds some chickens 1/8 of a bag of chicken feed each day. If he has 8 bags of feed, how many days will the feed last?
Answer:
1/2
Step-by-step explanation:
because if he has 8 bags he wil only have half a bag left
Find angle picture below.
Answer:
Angle M = 63
Angle N = 96
Step-by-step explanation:
By exterior angle of triangle:
Angle M + Angle N = 159
(4y+3)+(6y+6)=159
y = 15
Angle M = 4y + 3 = 4(15) + 3 = 63
Angle N = 6y + 6 = 6(15) + 6 = 96
Factor completely.
- 3x² + 14x- 8
Answer =
= - 3x² + 14x - 8
= - 3x² + 12x + 2x - 8
= - 3x(x - 4) + 2(x - 4)
= (x - 4)(-3x + 2)
pleaseee somebody tell me the answer.
Answer:
aprx. 50.24 inches
Step-by-step explanation:
I hope this helps! :)
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