Divide total by number of days:
367/5 = 73.40 per day
A train is moving at 65.0 m/s. After 16.0 seconds, it is moving at 85.0 m/s. What is the acceleration?
Happy Holidays!
We can use the following equation to calculate uniform acceleration:
[tex]\large\boxed{a = \frac{\Delta v}{\Delta t} = \frac{v_f - v_i}{\Delta t}}}[/tex]
Plug in the given values to solve:
[tex]\frac{85 - 65}{16}}} = \frac{20}{16} = \boxed{1.25 m/s^2}}[/tex]
Answer:
Hope it will help you...
Solve the system of equations.
4х – 3y = 12
3х + 6у = 42
Answer: B. (6,4)
Find x for the 2nd equation
3x + 6y = 42
3x = 42-6y
x= (42-6y) / 3
Place the value of x in the first equation and find for y then.
4x - 3y= 12
4{(42-6y)/3} - 3y = 12
So the answer for y is 4
Now, you know the value of y is 4.
4x - 3*4 = 12
4x - 12 = 12
x= 12+12 /4
x= 6
So x is 6 and y is 4. So the answer is B.
Question 1
Part a) 9 Athletes are running the 200M event. How many ways can the first three finishers be awarded medals? Show your work using the Permutation or Combination formula for full credit.
Part b) You have 10 photos to arrange in an art gallery, where there are 5 spaces to place them. How many ways can they be arranged? Show your work using the Permutation or Combination formula for full credit.
Part c) Write an original word problem of your own creation that uses a combination and the numbers 8 and 4. Also state the solution. You may not use a pizza-themed scenario.
Using the permutation and the combination formula, we have that:
a) The first three finishers can be awarded medals in 504 ways.
b) They can be arranged in 252 ways.
c) In how many ways can 4 students form a team from a set of 8.
If the order is important, the permutation formula is used.If the order is not important, the combination formula is used.Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Permutation formula:
The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Item a:
Order is important, as the finishers are ranked, hence:
[tex]P_{(9,3)} = \frac{9!}{6!} = 504[/tex]
The first three finishers can be awarded medals in 504 ways.
Item b:
The order is not important, hence:
[tex]C_{10,5} = \frac{10!}{5!5!} = 252[/tex]
They can be arranged in 252 ways.
Item c:
Situation in which the order is not important, hence, for example, in how many ways can 4 students form a team from a set of 8.
For more on permutation/combination, you can take a look at https://brainly.com/question/25247153
Afia bought shoes that were on sale for 30 %off the regular price. Afia saved 12$. What was the regular price of the shoes?
ANSWER SOON
Divide the amount of savings by the percentage off:
12/0.30 = 40
The regular price was $40
if 2-5 = -4 then x =
please answer
Answer:
1
Step-by-step explanation:
2-5=x-4
subtract the common factors
-3 = x-4
add 4 to both sides so get x by itself
1 = x
0.081 to simplest form
81/1000
hope this helps!
The cost of a bottle of water is (w – 1) cents.
The cost of a bottle of milk is (2w – 11) cents.
A certain number of bottles of water costs $4.80.
The same number of bottles of milk costs $7.80 .
Find the value of w
Answer:
w= 25
Step-by-step explanation:
Cost of water= (w -1)¢
Cost of milk= (2w -11)¢
Let the certain number be x.
x(w -1)¢= 480¢ -----(1)
x(2w -11)¢= 780¢ -----(2)
From (1):
wx -x= 480 -----(3)
From (2):
2wx -11x= 780 -----(4)
(3) ×2:
2wx -2x= 960 -----(5)
(5) -(4):
(2wx -2x) -(2wx -11x)= 960 -780
Expand:
2wx -2x -2wx +11x= 180
9x= 180
Divide both sides by 9:
x= 180 ÷9
x= 20
Substitute x= 20 into (3):
w(20) -20= 480
20w -20= 480
20w= 480 +20
20w= 500
w= 500 ÷20
w= 25
Tiffany babysits to earn extra money. She charges a fee of $15 per hour for one child, and then an added $30 overall for each additional child. If she wants to make a total of $150 this week, babysitting a family with 4 children, what is the minimum number of hours she can work for?
Answer: Minimum for $150: 2 Hours
Step-by-step explanation: First, Tiffany charges $30 per additional child. If she babysits for 4 children, you do 30 x 4, which is equal to 120. That would be the cost for the children. Now, if she charges $15 PER HOUR, then you just add up $15 + $15, which is $30, and you add that $30 to the $120. Which is $150. There you have it. If this is wrong, correct me please!
Fred has 32 ounces of cookie dough. If he used 0.56 ounces of cookie dough for each cookie, what is a reasonable estimate of how many cookies he can make?
Answer:
57 cookies
Step-by-step explanation:
32/0.56= 57.14
A farmer has 160 bushels of apple to sell at his roadside stand. He sells an average of
15 3/4 each day. Represent the total change in the number of bushels he has for sale after 5 days.
Answer:
15 3/4 = (15*4 + 3)/4 = 63/4
5*(63/4) = 78.74 OR 78 3/4
The change in the total number of bushels is 78 3/4 bushels.
Will give thank,brainly and 5 stars!
The second and last one.
The second one multiplies the cost of each type of ticket by two, therefore saying that you wanted to buy two of each type of ticket.
The last one multiplies the cost of a single ticket of all three types and multiplies it by 2.
Answer:
The second and last one
Step-by-step explanation:
Hope this helps and have a good day!
i neeeeeeeeeeeeeeeeeeeed hellp fast
Answer: point E
Step-by-step explanation:
Help please and thank you.
Answer:
b
Step-by-step explanation:
What is 100 x (81 + 283) - 67 x 4
Answer: 36132
Step-by-step explanation:
81+283=364
100*364=36400
67*4=268
36400-268=36132
Answer:
Step-by-step explanation:
100*(81+283)-67*5
=36400-268
=36132
Write an equation for a line if m
3 and it passes through the point (1, -5).
To the nearest hundredth, find the area of a circle with a circumference of 69.08 feet. Use 3.14 for π.
Answer:
The radius would be 11ft.
Step-by-step explanation:
So what we need to do is, 69.08 divided by π (3.14) which equals to 22. 22ft is the diameter but we are looking for the radius, so we need to divide that by 2 which is 11ft.
Hope that helps. x ps. Love the fact the picture is upside down :)
The table shows the population of a small town over time. The function P = 10,550(1. 1)x models the population x years after the year 2000. A 2-column table with 5 rows. The first column is labeled years after 2000, x with entries 0, 3, 4, 7, 10. The second column is labeled population, P with entries 10,5000; 14,000; 15,500; 20,500; 27,000. For which year would this model most likely be sufficient to make a prediction of the population? 1950 2005 2025 2050.
The population model is most sufficient for 2005 because 2005 is the closest to 2000
The population function is given as:
[tex]P(x) = 10550(1.1)^x[/tex]
From the question, we understand that the population model is for years after 2000.
This means that the model cannot be used for the year 1950; because 1950 is before 2000.
The model can be used for years 2005, 2025 and 2050.
However, it is most sufficient for 2005 because 2005 is the closest to 2000, and the population model can change with time
Read more about population functions at:
https://brainly.com/question/15680851
Answer:
B!
Step-by-step explanation:
a computer artist created a rectangular image measuring 55 125 scale factor of 2.5 what are the dimensions of the dilated image? quick!!
Answer:
sex
Step-by-step explanation:
69
What's the area of a triangle and circle?
Answer:
Formula?
Step-by-step explanation:
Triangle = Area = 1/2bh
circle = Area = pi x r^2
Hope it helps
What would be the inverse function of g(x)=1/x-1 ? Thanks in advance.
Exchanging x and y and isolating y, it is found that the inverse function is:
[tex]g^{-1}(x) = \frac{1 + x}{x}[/tex]
The function given is:
[tex]g(x) = y = \frac{1}{x - 1}[/tex]
To find the inverse function, we exchange x and y and isolate y, hence:
[tex]x = \frac{1}{y - 1}[/tex]
[tex]x(y - 1) = 1[/tex]
[tex]xy - x = 1[/tex]
[tex]xy = 1 + x[/tex]
[tex]y = \frac{1 + x}{x}[/tex]
Hence, the inverse function is:
[tex]g^{-1}(x) = \frac{1 + x}{x}[/tex]
You can learn more about inverse functions at https://brainly.com/question/16485117
1. 6(12+4)
2. 10+4(2+20)
3. 7(4+19)
Answer:
1. 6 x 16 = 96
2. 10 + 4 x 22 = 10 + 88 = 98
3. 7 x 23 = 161
Step-by-step explanation:
3a-1 over 8=a+9 over 4
Answer:
1800 stanley steamer
Step-by-step explanation:
A small rectangular prism has a length of 5 inches, a width of 4 inches, and a volume of 100 cubic inches. A large rectangular prism also has a length of 5 inches and a width of 4 inches, but its volume is 200 cubic inches.
How much taller is the large prism than the small prism?
Step-by-step explanation:
the volume of a prism is
length × width × height
so, for the small prism we have
5 × 4 × height = 100 in³
height = 100/20 = 5 in
for the large prism we have
5 × 4 × height = 200 in³
height = 200/20 = 10 in
the larger prism is 10/5=2 times taller than the small prism.
what is the x value of the solution to the system of equations below
x+y+z=8
x+2y=6
y+z=4
Answer:
Let's solve for x.
x+y+z=8
Step 1: Add -y to both sides.
x+y+z+−y=8+−y
x+z=−y+8
Step 2: Add -z to both sides.
x+z+−z=−y+8+−z
x=−y−z+8
Answer:
x=−y−z+8
Evaluate the expression for x = 2 and y = 4.
Answer:
Not enough info
Step-by-step explanation:
Not enough info sry
The e of the function f(x) = e* has a value of:
a
3.14
2.718
1.98
None of these choices are correct.
Answer: 2.718
Step-by-step explanation:
You don’t need the star there but it is Euchre’s number when you look it up it is 2.718
Which function has a more negative slope?
Answer:
A. Function 1
Step-by-step explanation:
The slope of Function 2 can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-8 -(-2))/(3 -0) = -6/3
__
The slope of function 1 can be found by comparing the equation to the slope-intercept equation for a line:
y = mx + b . . . . . . equation with slope m and y-intercept b
The slope of Function 1 is -7/3.
-7/3 is more negative than -6/3, so Function 1 has the more negative slope.
.can you help please
Answer:
38.81cm³
Step-by-step explanation:
Volume of a sphere = 4/3πr³
Diameter is 4.2
radius= 4.2/2 = 2.1 or 21/10
4/3 × 22/7 × 21/10 × 21/10 × 21/10
= 4851/125
= 38.808
≈38.81cm³
how do i do this?? i really need help !!
Answer:
angles: 150°, 108°, 90°, 12°
Step-by-step explanation:
The size of each sector of a pie chart is proportional to the size of the data item being represented. Here, the total of all frequency numbers is ...
25 +18 +15 +2 = 60
These 60 are represented in the chart by 360°, so each unit of frequency is represented by 360°/60 = 6°.
The 25 destinations in France are represented by a sector that is ...
25 × 6° = 150°
The 18 destinations in Spain are represented by a sector that is ...
18 × 6° = 108°
The 15 destinations in Greece are represented by a sector that is ...
15 × 6° = 90°
The remaining (Other) destinations are represented by the remaining part of the circle:
2 × 6° = 12°
You can draw the sector dividers in the circle using a protractor or geometry application, or you can let a spreadsheet draw the entire pie chart for you.
__
The attachment is roughly what the finished product would look like. We have included the angle measures, so you can see what they are. Ordinarily, those would not be present. The labels might include data values or percentages, as you may decide. The purpose is to communicate, so you need to figure what message you want the chart to communicate, and label it appropriately.
Answer:
angles: 150°, 108°, 90°, 12°
Step-by-step explanation:
The size of each sector of a pie chart is proportional to the size of the data item being represented. Here, the total of all frequency numbers is ...
25 +18 +15+2 = 60
These 60 are represented in the chart by 360°, so each unit of frequency is represented by 360` = 6°.
The 25 destinations in France are represented by a sector that is ...
25 x 6° = 150°
The 18 destinations in Spain are represented by a sector that is ...
18 x 6° = 108°
The 15 destinations in Greece are represented by a sector that is ...
15 x 6° = 90°
The remaining (Other) destinations are represented by the remaining part of the circle:
2 x 6° = 12°
You can draw the sector dividers in the circle using a protractor or geometry application, or you can let a spreadsheet draw the entire pie chart for you.
The attachment is roughly what the finished product would look like. We have included the angle measures, so you can see what they are. Ordinarily, those would not be present. The labels might include data values or percentages, as you may decide. The purpose is to communicate, so you need to figure what message you want the chart to communicate, and label it appropriately.
Skyler is helping his mother plan a wedding breakfast for his older sister, Jessica. They
are expecting 63 family members to attend, and they are using round tables that seal 8
guests each. How many tables will be needed to seat 63 people?
What do I do with the remainder?
Answer:
You would count another table for the remainder. Therefore, 8 tables are needed to seat 63 people. It does not matter whether all seats are filled on the 8th table.