Answer:
Step-by-step explanation:
Pamela has 15 different books. In how many ways can she place her books on two selves so that there is at least one book on each shelf? (Consider the books in each arrangement to be stacked one next to the other, with the first book on each shelf at the left of the shelf.)
Initially, I thought that this would be fairly straight forward. There are two cases where either shelf could be empty and so we would subtract 2 from the total number of permutations which is obviously 15!. It is obvious now that both of these statements are false.
My previous thoughts didn't take into account the fact that there are two shelves and that the books could be stacked in such a way that 5 are on the top shelf and 10 are on the bottom, or 8 on top with 7 on bottom, or any number of other ways. I believe there are 214 ways the books can be distributed amongst the two shelves (keep in mind that each shelf has to have at least one book, 15−1=14) if the ordering of the books didn't matter, but it does. Is this correct?
Which graph best represents an increasing function?
A graph shows a non linear curve that joins the ordered pairs 0, 0, and 2.5, 1, and 4, 3.
A graph shows a non linear curve that joins the ordered pairs 0, 4 and 2, 1.5, and 4, 0.
A graph shows a straight line that joins the ordered pairs 0, 4 and 4, 4.
A graph shows a vertical straight line that joins the ordered pairs 4, 0 and 4, 4.
The graph that best represents an increasing function is (a) A graph shows a non linear curve that joins the ordered pairs (0, 0), and (2.5, 1), and (4, 3).
How to determine the graph that represents an increasing functionFor a graph to represent an increasing function, then as the input values increases, the output values must also increase
This means that:
As the x values increases, the y values must also increase
Hence, the graph that best represents an increasing function is (a)
This is so because as x increases from 0 through 2.5 to 4, y increases from 0 through 1 to 3
Read more about increasing functions at:
https://brainly.com/question/2387399
What's the answer? please help
Answer:
it's 3.
Step-by-step explanation:
10-4/5-3
6/2
3..
Justify each step of this inequality by stating the property that was used to get to each step. Given: -5(r+3)<12-10r+3r Property used: Step 1: -5(r+3)<12-7r Step 1: Step 2: -5r-15<12-7r Step 2: Step 3: 2r-15<12 Step 3: Step 4: 2r<27 Step 4: Step 5: r<13.5 Step 5:
Answer:
See below.
Step-by-step explanation:
We have:
Given:
[tex]-5(r+3)<12-10r+3r[/tex]
Step 1: Combining Like Terms (on the right):
[tex]-5(r+3)<12-7r[/tex]
Step 2: Distributive Property (distribute the -5 on the left):
[tex]-5r-15<12-7r[/tex]
Step 3: Addition Property of Equality (add 7r to both sides):
[tex]2r-15<12[/tex]
Step 4: Addition Property of Equality (add 15 to both sides):
[tex]2r<27[/tex]
Step 5: Division Property of Equality (divide both sides by 2):
[tex]r<13.5[/tex]
And we're done!
Answer:
Step 1: Combining Like Terms
Step 2: Distributive Property
Step 3: Addition Property of Equality
Step 4: Addition Property of Equality
Step 5: Division Property of Equality
d) Jerry, Barry, and Harry went fishing and they each caught a giant fish! Jerry's fish is 62 inches long. Barry's fish is 7 feet long. Harry's fish is 2 yards long. Who caught the longest fish?
construction company builds an average of 48 houses per year. How many houses per month does the company build?
Given A(-3, 8), find the coordinates of the point B such that C(5, -8) is the midpoint of segment AB.
Answer:
13, -16
Step-by-step explanation:
Select all the expressions that equal -2 + 5.
Answer:
The answers are A, C and D
Which expression is equivalent to (3x+2)(3x-5)?
Answer:
9x^2-9x-10
Step-by-step explanation:
im not sure what the question is asking but if u multiply it all out that is what it equals
hope this helps
what is the range of this function?
Answer:
13,13,10,-15
Step-by-step explanation:
Evaluate
(y + z)^2when y = -8, z =19
Answer:
Substitute the value of the variable into the expression and simplify.
121
Step-by-step explanation:
Step-by-step explanation:
(y + z)^2
substitute in the given
y = -8, z = 19
(-8 + 19)^2
(11)^2
121
Hope this helps :)
Find the value of 5x-2 given that --3x+6=3.
Simplify your answer as much as possible.
Answer:
-37
Step-by-step explanation:
-3x/-3=x
3/-3=-1
-1-6=-7
x=-7
5(-7)=-35
-35-2=-37
My question is
-x/9 = -8
what is the value of k?
Answer:
(4k+5)+ (6k+10) = 115
Exterior angle of a triangle is equal to the sum of two opposite interior angles
10k=15=115
10k= 100
k = 100/10
k = 10
Step-by-step explanation:
Answer:
k = 10
Step-by-step explanation:
The 3rd angle that's not defined in the equation is supplementary to 115, so the angle is 180-115 = 65.
We can solve for the equation 65+(4k+5)+(6k+10)=180 -> 65+4k+5+6k+10=180 -> 10k+80 = 180 -> 10k = 100 -> k = 10.
To double-check(optional), we can plug k back into the equation, so 65 + 4*10 + 5 + 6*10 + 10 = 180 -> 100 + 65 + 5 + 10 = 180 -> 180 = 180, so we can confirm that k = 10.
Write and solve an equation to find the value of x and the missing angle measures.
Caleb was given a gift card for a coffee shop. Each morning, Caleb uses the card to buy one cup of coffee. The original amount of money on the gift card was $45 and after buying 8 cups of coffee, the card had a $25 remaining balance. Write an equation for A,A, in terms of x,x, representing the amount money remaining on the card after buying xx cups of coffee.
Answer:A= -2.50x + 45
Step-by-step explanation:
Find the derivative of log e^((1+tan x)) w.r.t x
A flat screen television measures diagonally 40 inches and 24 inches in length. What is the width of the television?
Answer:
The width of the Television is 32 inches.
Step-by-step explanation:
It seems as if the hypotenuse of the triangle is 40 inches, and one of the side lengths of it is 24 inches.
a2+b2=c2
So if we square 40 we get 1600, which is c2
If we square 24, we get 576, which is a2.
Then you solve, 576+b2=1600
you get b2=1600
Then you get the square root of both sides which in turn gives you the answer
b=32, which is the width of the television.
Step-by-step explanation:
use the pythagorean theorem c^2 = a^2 + b^2 diagonal is the hypotenuse...
40^2 = 24^2 + b^2
b^2 = 40^2 - 24^2
b =
[tex] b = \sqrt{40 {}^{2} - 24 {}^{2} } [/tex]
PLZ HALP YALL..............
Answer:
-6
Step-by-step explanation:
make since trust
its right trust
Answer:
-6
Step-by-step explanation:
-5-1
-5+-1
=-6
I think lol
Which of these sets of numbers is correctly ordered from least to greatest?
Save and Exit
Answer:
The answer is C
Step-by-step explanation:
Answer:
the answer is B (-5, -2, 3, 5)
Step-by-step explanation:
negative numbers are less than zero, so the "higher" the negative number the less it is (-2> -5) :)
Algebra ll Unit 12020-21
COLOR THEME
Q Q ZOOM
5. The graph of the absolute value function y = 2 (x + 3)- 2 is given. What
is the solution for 2 when y = -2?
Answer:
-3 is the complex solution
how much kinetic energy does a 4 kg cats have while at 9 m/s
Answer:
162 Joules
Step-by-step explanation:
Remember, the equation for the kinetic energy of an object is:
[tex]K=\frac{1}{2}mv^{2}[/tex]
where m is the mass of the object in kg (kilograms), v is the velocity of the object in m/s (meters per second), and K is the kinetic energy of the object in J (joules).
We are given that the cat's mass is 4 kg. We will use this for m. We are also given that the cat is moving at 9 m/s. This would be it's speed. We can use this for velocity, or v. Plugging in we get:
[tex]K=\frac{1}{2}mv^{2}=\frac{1}{2}(4)(9)^{2}=(2)(81)=162[/tex]
So K, or the kinetic energy, would be 162J.
I hope you find my answer and explanation to be helpful. Happy studying.
Select the locations on the number line to plot the points 10/2 and 9/2
Answer:
Well, 10/2 is actually 5, so the first point would be at 5 on the number line. -9/2 is -4 1/2 as a mixed number. So, the point for -9/2 would be on the right of -5.
Hope this helps! c:
what's the answer? please help
Answer:
the slope is 1/2.
Step-by-step explanation:
6-1/0-(-10)
5/10
1/2
HOW DO YOU SEE IT The diagram represents the number of students in a school with brown eyes,
brown hair, or both.
*picture*
Determine whether each inequalities must be true. Explain your reasoning.
(Choices in photos)
Answer:
a. true; the # brown hair is either greater than or equal to the # of brown eyes
b. false; the # of brown hair + 10 can only be greater to the # of brown eyes, not equal
c. true; the # of brown hair can only be greater than the # of both brown hair & eyes
d. false; the # of brown hair + 10 can only be greater then the # of both, not equal
e. true; the # of brown hair can only be greater then the # of both brown hair & eyes
f. true; the # of brown hair + 10 can only be greater then the # of both
Step-by-step explanation:
hope this helped you out
Venn diagrams gives a visual representation of the distribution of a whole divided into two or more groups using circles. Going by the scale of the Venn diagram given, only the inequalities A, C, E and F must always be true.
Size of brown hair = H
Size of brown eyes = E
Size of those who have both = X
From the Venn diagram given ; we can deduce that H = E
Evaluating the inequalities :
H ≥ E is True because H = E H ≥ X is True because proportion of H is more than X H > X is True because proportion of H is more than X H + 10 ≥ E is must not always be True because H = E ; adding 10 more to H will make H more than E always. H + 10 ≥ X is False because proportion of H is more than X, adding 10 more to H, the proportion gets bigger H + 10 > X is True because proportion of H is more than XTherefore, only the inequalities A, C, E and F must always be true.
Learn more : https://brainly.com/question/12570490
What is the function equation of this table? I will make you brainiest!!!!
Answer:
[tex]f(x)=x[/tex]
Step-by-step explanation:
Since the numbers are the same on both sides for every value, the equation would be [tex]f(x)=x[/tex].
What is the place value of the
underlined digit?
2,455,037
Answer:
millions
Step-by-step explanation:
Its millions because the 4 is hundred thousands
the approximate diameter of five planets are listed below.
earth:11,800
saturn:1.2 x 10^4
neptune: 5.0 x 10^3
mars:4800
which lost shows the order from the least diameter to the greatest diameter?
A. Mars, Neptune, Earth, Saturn
B. Mars, Saturn, Neptune, Earth
C. Mars, Earth, Neptune, Saturn
D. Mars, Earth, Saturn, Neptune
Answer:
A. mars, Neptune, earth, Saturn
Step-by-step explanation:
Saturn's diameter is 1.2 × 10^4 which equals 12,000
While Neptune diameter is 5.0 × 10^3 which equals 5000
and so we have all the stats given in the same format and so we can sort them in smallest to biggest as the answer above!
is y= -2x proportional
Answer: yes
Step-by-step explanation:
what is the midpoint of _
AB
Answer:
The answer is C
Step-by-step explanation:
Its the midpoint of A and B
pleaseeeeeeeeeeee brainliest
Answer:
what?
Step-by-step explanation: