Answer:
C.) π/9
Step-by-step explanation:
√9/3 = 1
2π ≈ 6.28
The only value that is not between these two numbers is π/9 which is approximately 0.35.
a cubic box is completely filled with 2650 g of water. what is the length of one side of the box, in meters?
The length of one side of the box, in meters, is 0.138 meters.
The density of water is approximately 1000 kg/m^3 or 1 g/cm^3. If a cubic box is filled with 2650 g of water, we can find the volume of the box and then find one side length.
Volume = Mass / Density = 2650 g/(1 g/cm^3) = 2650 cm^3
Since the box is cubic, one side length is the cube root of the volume.
Side length = (Volume)^(1/3) = (2650 cm^3)^(1/3) = 13.8 cm
To convert cm to meters, divide by 100:
Side length = 13.8 cm/100 cm/m = 0.138 m
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there were 40 questions on Roberts test. How many problems did Robert get right if he received an 87.5% oh his test?
Answer:
Robert got 35 problems right if he received an 87.5% oh his test.
Step-by-step explanation:
Total questions = 40As Robert got right 87.5% on his test.
so the expression becomes
87.5% × 40
= 87.5/100 × 40
= 0.875 × 40
= 35
Therefore, Robert got 35 problems right if he received an 87.5% oh his test.
For which equation is g = 5 not the solution?
8g = 40
4, g, = 20
g - 2 = 3
2, g, = 25
Therefore, the equation for which g = 5 is not the solution is 4g = 20.
What is equation?An equation is a mathematical statement that shows the equality between two expressions or values. It typically consists of variables, constants, and mathematical operations, such as addition, subtraction, multiplication, division, exponentiation, and logarithms. Equations can be used to solve problems or to describe relationships between quantities. They are commonly written in the form of "expression 1 = expression 2" or "expression 1 - expression 2 = 0", where the goal is to find the value(s) of the variable(s) that make the equation true.
To check for which equation g = 5 is not the solution, we can substitute g = 5 into each equation and see which ones result in a false statement.
\(8g = 40\)
Substituting g = 5 gives: 8(5) = 40, which is true. Therefore, g = 5 is a solution to this equation.
4g = 20
Substituting g = 5 gives: 4(5) = 20, which is false. Therefore, g = 5 is not a solution to this equation.
g - 2 = 3
Substituting g = 5 gives: 5 - 2 = 3, which is true. Therefore, g = 5 is not a solution to this equation.
2g = 25
Substituting g = 5 gives: 2(5) = 25, which is false. Therefore, g = 5 is not a solution to this equation.
Therefore, the equation for which g = 5 is not the solution is 4g = 20.
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If j is inversely related to the cube of k, and j = 3 when k is 6, which of the following is another
possible value for j and k?
(A) j = 18, k = 2
(B) j = 6, k = 3
(C) j = 81, k = 2
(D) j = 2, k = 81
(E) j = 3, k = 2
The relationship between j and k can be expressed as j = k^(-3) * C, where C is a constant. To find the value of C, we can use the initial condition j = 3 when k = 6:
3 = 6^(-3) * C
C = 3 * 6^3 = 648
So the relationship is j = 648 / k^3. To find another possible value for j and k, we can simply plug in a different value for k:
For option A:
j = 648 / 2^3 = 81
For option B:
j = 648 / 3^3 = 24
For option C:
j = 648 / 2^3 = 81
For option D:
j = 648 / 81^3 = 0.0008
For option E:
j = 648 / 2^3 = 81
Therefore, the only option that is another possible value for j and k is (A) j = 18, k = 2.
he cardinality of a finite set is the number of elements in the set. What is the cardinality of set A
The cardinality of the set A is 4
How to determine the cardinality of set AFrom the question, we have the following parameters that can be used in our computation:
A = {2, 4, 6, 8}
In the above, we can see that
There are 4 elements in the set
By the definition of cardinality, we have the cardinality of set A to be 4
Hence, the cardinality of set A is 4
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Question
The cardinality of a finite set is the number of elements in the set. What is the cardinality of set A
A = {2, 4, 6, 8}
Which of the following sets of values has the greatest
variability?
Group of answer choices
A) 1, 4, 7, 9, 11
B) 2, 2, 3, 3, 4
C) 7, 7, 8, 9, 9
D) 2, 3, 5, 7, 8
19/3 = 95/x solve for x
Answer:
x=15
Step-by-step explanation:
19/3=95/x
19x/3=95
19x=285
x=15
Answer:
15
Step-by-step explanation:
95/19=5
3 times 5 = 15
(ratio between 95 to 19 is 5),
so the ratio between x and 3 is 5
preform the operation indicated (x^2+7x-9)-(3x^2-2x+11)
Answer:
−2x^2 + 9x − 20
Step-by-step explanation:
distribute the negative to the expression and simplify
x^2 + 7x + −9 + −3x^2 + 2x + −11
= −2x^2 + 9x − 20
Mia has a $25 gift card for an online music store. She buys an album for $9.50 and wants to use the remaining money on the card to buy individual songs, which cost $1.25 each. Write and solve an equation to find the number of songs Mia can buy.
Answer:
12
Step-by-step explanation:
Answer:
Mia can buys 12.4 songs.
Step-by-step explanation:
25 - 9.50 = 15.50
15.50 : 1.25 = 12.4
given:2y-1/-3=-5 prove:y=8
Answer:
2y + 1/3 = 5
2y = -5 -1/3
2y = -16/3
Y = -8/3
Step-by-step explanation:
im pretty sure thats the answer but good luck!
Triangle ABC is similar to triangle FGH. What is the value of x in centimeters?
Answer:
17.5
Step-by-step explanation:
8 : 10 = 14 : x
8x = 10*14 = 140
x = 140/8 = 17.5 cm
Consider a Stackelberg model in which firm 1 sets output and then firm 2 observes before setting . In the Subgame perfect Equlibrium,
a.
Firm 1 chooses a function, and firm 2 chooses a number.
b.
Both firms chooses numbers.
c.
Both firms choose functions.
d.
Firm 1 chooses a number, and firm 2 chooses a function.
In the Subgame Perfect Equilibrium of a Stackelberg model, firm 1 chooses a number, and firm 2 chooses a function. Therefore, option (d) is the correct answer.
The Subgame Perfect Equilibrium (SPE) is a solution concept in game theory that analyzes strategic decision-making in sequential games. In a Stackelberg model, firm 1 acts as the leader and sets its output level first, followed by firm 2 as the follower, who observes firm 1's output before making its decision.
In the Subgame Perfect Equilibrium of this model, firm 1 chooses a number (output level) while firm 2 chooses a function (strategy). This implies that firm 1's decision is made independently as a quantity, and firm 2, observing firm 1's choice, formulates its strategy based on that information.
Therefore, option (d) is the correct answer: Firm 1 chooses a number, and firm 2 chooses a function in the Subgame Perfect Equilibrium of a Stackelberg model.
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Simon easily defeats the kidnapper in
hand-to-hand combat outside the water tower,
but to get inside the tower he must figure out the
last digit to the combination lock on the door.
A riddle was left for Simon to solve, giving him the
number he needs... if he can solve it in time!
The riddle reads:
2
"A rectangle has an area given by x² + 2x - 24.
The number you seek is the sum of its length
and width when x = 5."
9) Find the last digit to the password by solving
the riddle! (A /4) hint factor to get the dimensions of the rectangle
The dimensions of the rectangle will be 4 and 6.
How to solve the value?From the information given, we are told that the area is given by x² + 2x - 24. We will expand this as follows:
x² + 2x - 24
x² + 6x - 4x - 24
x(x + 6) + 6(x - 4)
x - 4 = 0
x = 0 + 4
Therefore, the other dimension will be:
= 24/4
= 6
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Rewrite the problem below as an equivalent addition expression and evaluate.
10.25 - (3.5)
10.25 + (-3.5) = 6.25
10.25 + (-3,5) = 6.75
10.25 + (3.5) = 13.75
10.25 - (-3.5) = 13.75
Answer:
The correct option is;
10.25 + (-3.5) = 6.75
Step-by-step explanation:
We note that when adding numbers the negative sign is equivalent to the minus sign which is a mathematical operator. Therefore, when we subtract one number from another, it is equivalent to adding the negative of the other number to the first number
The given expression is 10.25 - (3.5)
The result of the given expression is 10.25 - (3.5) = 6.5
Therefore, we have;
10.25 + (-3.5) = 6.75
Please help! I'll give 100 points!
The scores of the semester exam for one math class are shown below.
81, 66, 79, 76, 55, 66, 86, 83, 64, 49, 71, 76, 46, 75, 60, 68, 75, 86
Using the data, create a box plot on scratch paper in order to complete the following.
Part A: Identify the spread and overall shape of the data.
Part B: Describe at least two ranges where 50% of the exam scores lie, and explain what this means for the students in the math class.
Answer:
All students have to take at least one math class and one language class. Twenty students take calculus, and thirty students take statistics.
Is the relation a function?
Answer: yes its just set up diffrently
Step-by-step explanation:
Answer:
ans: yes it is because it matches the same number
Here is a probability scale
Answer:
(a) E - certain
what’s 1/6 out of 200?
Answer:
its 0.8
Step-by-step explanation:
a person 6 feet tall is walking away from a lamppost that is 15 ft tall at a rate of 6 ft/sec. at what rate is the end of the person's shadow moving away from the lamppost
The rate at which the end of the person's shadow is moving from the lamppost is 4ft/sec.
Let us consider the the distance of the person from the bottom of the lamppost is = xft
therefore the length of shadow is = yft
then the formula is
x + y/15 = y/6
or, 6(x + y) = 15y
=> 6x + 6y = 15y
=> 9y = 6x
therefore, y = 2x/3
Differentiation of both sides w.r.t t
dy/dt = 2/3 × dx/dt
we know that,
dx/dt = 6 ft/sec
then,
dy/dt = 2/3 × 6 => 4 ft/sec
The rate at which the end of the person's shadow is moving from the lamppost is 4ft/sec.
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What are the factors of a term 5x?
The factors of 5x as calculated from the data given is found to be as 5, x and 1 .
On factorizing 5x we can write it as ,
5 x 1 x x .
Therefore the factors are 5 , 1 and x.
There are some integers which are positive and can divide a number completely leaving no remainders. Such integers are known as factors for a number. If we want to get a product by multiplying two numbers , we will have to multiply two factors. Each number is a multiplier of itself.
The prime factor is the factor of a given number that is also a prime number. Factors are numbers that are multiplied together to produce another number.
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4. HSG-CO.C.9 (1pt) Angles 1, 2, 3, and 4 are formed by two intersecting lines. State the single angle fact necessary
to prove that m <1+m<2 = m < 2 + m <3.
m <1 + m <2 = m <2 + m <3 is proven by the Vertical Angles Theorem.
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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
at least how many integers must you pick in order to be sure that at least four of them are equal modulo 5?
The least number of integers to pick to be sure that at least four of them are equal to modulo 5 are 16 integers .
In the question ;
We have to find the least number of integers to be sure that at least four of them are equal to modulo 5 .
this question means that , we have to find the integers we must pick in order to be sure that at least two of them have same remainder when divided by 15 .
We take ⇒ 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15
So , we have 0 \(=\) 5 \(=\) 10 \(=\) 15 in mod 5
Thus , we need 16 integers so that at least Four of them are equal to mod 5.
Therefore , the least number of integers is 16 .
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I NEED HELP ASAP!! I WILL GIVE BRAINLIEST
Answer:
23
Step-by-step explanation:
Answer:
Step-by-step explanation:
22+36/2=22+18=40
9-3+2=4
40/4=10
10
srry if wrong but
hope this helps
Rewrite 2/5 : 1/15 as a unit rate
Answer:
8/1
Step-by-step explanation:
Answer:
6:1
Step-by-step explanation:
The table shows the flying speeds of several birds. PLEASE HELP ME FAST
Bird: ║ speed:
spined tailed swift ║2843.2m/min
spur-winged goose ║1291ft/sec
Eider duck ║31.3m/sec
Mallard ║65mi/h
a) which bird is the fastest? Which bird is the slowest?
b)The pererine falcon has a dive speed of 322km per hour. Is the dive speed of the peregrine falcon faster than the flying speed of any of the birds? Explain.
A. The fastest bird is the spin-tailed swift and the slowest bird is the mallard.
B. the dive speed of the peregrine falcon is faster than any other birds given in the question.
What is speed?
The speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
Here, we have
A. the speed of a spin-tailed swift is 2843.2m/min.
We have to convert the speed to m/sec.
From above we know that,
1 min = 60 sec
2843.2 m/min = 2843.2m/1minm
2843.2/60 = 47.386m/sec
2843.2 m/min = 47.386m/sec
The speed of a spur-winged goose is 129.1ft/sec.
We have to convert the speed to m/sec.
From above we know that,
1ft = 0.3048m
129.1ft/sec = 129.1/1sec
129.1ft/sec = 39.349m/sec
Hence, from the above, we can say that the fastest bird is the spin-tailed swift and the slowest bird is the mallard.
B. From part (a) we get,
The speed of the different birds in m/sec is given below:
Spine tailed swift
2843.2m/min = 47.386m/sec
Spur-winged goose
129.1ft/sec = 39.349m/sec
Eider duck
31.3m/sec
Mallard
65mi/h = 29.051m/sec
The dive speed of the peregrine falcon is
322km/h = 322km/1h
= 322(1000)m/1(3600)sec
= 89.444m/sec
Hence, the dive speed of the peregrine falcon is faster than any other bird given in the question.
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Answer:
I’m fat
Step-by-step explanation:
eat food, then sleep
Find the measure of angle K
K
N
M
17
27
63
36
9514 1404 393
Answer:
(b) 27
Step-by-step explanation:
It appears as though we're to assume that KM is a diameter, through circle center point N. That makes triangle KLM a right triangle, so angle K is the complement of angle M.
∠K = 180° -63° = 27°
Solve the system by graphing, then state the solution as an ordered pair
HELP ASAP!!!!!
Step-by-step explanation:
Simply graph the two equations....the intersection of the two graphs is the solution
The mass of a block of stone is 4,500 kg.. If the stone has a volume of 0.5 m3 , what is the density?
a
2250 kg/m3
b
9000 kg/m3
c
4500 kg/m3
d
18000 kg/m3
HELP HELP HELP ME ME ME
Answer:
your and is b.
Step-by-step explanation:
mass(m)=4,500
volume(v)=0.5m³
now,
density=m
v
=4500
0.5
=9000kg/m³
Ashley had 4/ 5 of a spool of yarn. She used 2/5 of it for her project. What fraction of the spool was used for her project? Write your answer in simplest form
Ashley used 8/25 of the spool for her project.
To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):
(4/5) * (2/5) = 8/25
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What is the missing term in this sequence? 0.95, 0.85, 0.90, 0.80, ?, 0.75, 0.80, ...
Answer:
0.85
Step-by-step explanation:
the sequence is every second number
first sequence 0.95, 0.90, 0.85, 0.80...
second sequence 0.85, 0.80, 0.75...