Answer:
a circle with a radius of 3 (diameter of 6) is the largest circle that will fit
Step-by-step explanation:
square area is 36 so each side is 6. this is the diameter of the largest circle that can fit. so radius is 1/2 diameter, = 3.
Answer:
a circle with 28.27433 as an area
Step-by-step explanation:
What is the midpoint between (-3,-2) and (4-7)
The midpoint between the given figures are -2.5 and 5.5 respectively.
What is a midpoint ?A midpoint is defined as that particular point that divides two separate figures into two equal halves or the centre of two endpoints on a number line.
That is;
point a + point b/2
The figures given are :
Point a = -3
Point b = -2
= -3 + -2/ 2
= -5/2
= -2.5
For points 4 and 7 ;
= 4 + 7 / 2
= 11/2
= 5.5
Therefore, the middle or midpoint of -3 and -2 is -2.5 and the midpoint for 4 and 7 is 5.5.
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What is the correct way to show ?
Answer:
The middle one unless your solving for it its the yellow one
Step-by-step explanation:
giving 10 points and brainliest to the best correct answer, and explain it please.
Answer:
200,000 x 1.09^14 =668345.4054
So, 668,345
Hope this helps!
At 3 pm, The Temperature was 9F.By 11 pm,It had dropped 31 F.What was the temperature at 11 pm.
As the temperature fell by 31 F, the temperature at 11 pm dropped to
-22 F.
What is temperature?
Temperature tells us about the degree of hotness or coldness of a body. According to the thermodynamics, temperature is a measure of the average kinetic energy of the atoms or molecules in the system.
Given is at 3 pm the Temperature was 9F and by 11 pm it had dropped by 31 F.
Temperature at 3 pm = T[3] = 9 F
Since, the temperature fell by 31 F, the temperature at 11 pm would be =
Temperature at 3 pm T[3] - 31 F = 9 - 31 = - 22 F.
Therefore, as the temperature fell by 31 F, the temperature at 11 pm dropped to -22 F.
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(a) If a matrix A is 5 x 3 and the product AB is 5x7, what is the size of B?
If a matrix A is 5 x 3 and the product AB is 5x7, the size of B is 3x7.
The product of two matrices A and B, denoted as AB, is possible only if the number of columns of A is equal to the number of rows of B. In this case, A is 5x3, which means it has 3 columns.
And since the product AB is 5x7, it means the resulting matrix has 7 columns. Therefore, the number of columns of B must be equal to 7. And since A has 3 columns, the number of rows of B must be equal to 3 for the product to be possible.
Thus, the size of B is 3x7.
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on average a customer waits 10 minutes in a queue and customers arrive at the rate of two per minute. how many customers are waiting in the queue on average
The average number of customers waiting in the queue is 20
In this question, we have been given that the customers arrive at the rate of two per minute.
On average a customer waits 10 minutes in a queue.
We need to find the number of customers waiting in the queue on average.
Assume that the average number of customers waiting in the queue is N.
We have the average Rate of Arrival = 2 customers per minute
So, by the formula for average waiting time under the Single-Server Queue Model,
10 = N/2
N = 10 * 2
N = 20
The average number of customers waiting according to the single-server queue model given the above conditions is 20
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Please help me i will make you brainliest
Answer:
median ( the middle value)is 9.
How do you solve equations using Substitution.
24. Three minus four times a number is equal to ten times a number plus ten.
25. Four times the quantity of three times c plus 5 is equal to 8.
26. Six less than two thirds of a number is negative ten. Find the number.
27. Twenty-nine is thirteen added to four times a number. What is the number.
Answer:
(24) 3 - 4b = 10c + 10
(25) 4(3c+5) = 8
(26) - 6
(27) 4
Step-by-step explanation:
These questions require that words are translated into equations and then may be solved.
(24) Three minus four times a number is equal to ten times a number plus ten.
let the first number be b.
(a)Three minus four times a number ... can be represented as:
3 - (4 x b) = 3 - 4b
(b) ...ten times a number plus 10
let the other number be c. Therefore we have;
(10 x c) + 10 = 10c + 10
Now, three minus four times a number is equal to ten times a number plus ten means that expressions in (a) and (b) above are equal. i.e
3 - 4b = 10c + 10
(25) Four times the quantity of three times c plus 5 is equal to 8.
(a) four times the quantity of three times c plus 5 can be represented as
4 x (3 x c + 5) = 4(3c + 5)
(b) ... is equal to 8. This means that the expression in (a) is equal to 8.
4(3c + 5) = 8
(26) Six less than two thirds of a number is negative ten. Find the number.
(a) six less than can be represented as:
- 6
(b) two thirds of a number can be represented as
(\(\frac{2}{3}\))x [where x is the number]
(c) six less than two thirds of a number can thus be written as;
(\(\frac{2}{3}\))x - 6
(d) ... is negative 10 means that the expression is (c) above is equal to -10. i.e
(\(\frac{2}{3}\))x - 6 = -10
(e) Find the number.
The number can be found by solving for x in the expression in (d) above.
(\(\frac{2}{3}\))x - 6 = -10 [multiply through by 3]
2x - 18 = -30 [collect like terms]
2x = -30 + 18
2x = -12 [divide both sides by 2]
x = - 6
Therefore, the number is -6
(27) Twenty-nine is thirteen added to four times a number. What is the number.
(a) ... thirteen added to four times a number can be written as:
13 + 4b [where the number is b]
(b) Twenty-nine is thirteen added to four times a number means that the 29 is equal to the expression in (a) above. i.e
29 = 13 + 4b
(c) Find the number.
The number can be found by solving for b in the expression in (b) above. i.e
29 = 13 + 4b [collect like terms]
4b = 29 - 13
4b = 16 [divide both sides by 4]
b = 4
Therefore, the number is 4.
What are the factored form of the following :
1. X^2 - 7x = 0
2. 4x^2 16x = 0
3. X^2 16x = 0
4. X^2 -6x - 16 = 0
The factored form of 1) x² - 7x = 0 is x(x - 7) = 0
2) 4x² - 16x = 0 is 4x(x - 4) = 0
3) x² - 16x = 0 is x(x - 16) = 0
4) x² - 6x - 16 = 0 is (x - 8)(x +2) = 0.
What is simplification?
In mathematics, the process of operating and interpreting a function to make it simpler or more understandable is known as simplifying, and the process is known as simplification.
1. x² - 7x = 0
Take x common
x(x - 7) = 0
The factored form of x² - 7x = 0 is x(x - 7) = 0
2. 4x² - 16x = 0
Take 4x common
4x(x - 4) = 0
The factored form of 4x² - 16x = 0 is 4x(x - 4) = 0
3. x² - 16x = 0
Take x common
x(x - 16) = 0
The factored form of x² - 16x = 0 is x(x - 16) = 0
4. x² - 6x - 16 = 0
x² - 8x +2x - 16 = 0
(x - 8)(x +2) = 0
The factored form of x² - 6x - 16 = 0 is (x - 8)(x +2) = 0.
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A stormwater bioinfiltration system (1 m deep, 2 m wide and 2 m length) contains filter layer as a mixture of sand and soil with the following properties: porosity 0.39, bulk density 2.1 g/cm², and foc 0.1%. The hydraulic conductivity of the media layer is 1.5 cm/min. During a rainfall, the filter media becomes quickly saturated and develop a head equal to its depth; that is hydraulic gradient is 1. a) Estimate the velocity of water (Darcy's) exiting the bioinfiltration system at the bottom.
Therefore, the velocity of water exiting the bioinfiltration system at the bottom is 1.5 × 10⁻⁶ m/s.
Given that the depth of the bioinfiltration system is 1m, the width is 2m and the length is 2m.
The porosity of the filter layer is 0.39.
The bulk density is 2.1 g/cm³ and the foc is 0.1%. The hydraulic conductivity of the media layer is 1.5 cm/min.
The hydraulic gradient is 1.Since the filter media is quickly saturated during rainfall, we can assume that the entire 1m height of the system is filled with water.
To estimate the velocity of water exiting the bioinfiltration system at the bottom using Darcy's Law, we can use the formula:
Q = A × vwhere Q is the discharge rate, A is the cross-sectional area of the bioinfiltration system, and v is the velocity of water.
Darcy's Law is given by:Q = K × A × i
where K is the hydraulic conductivity of the filter layer and i is the hydraulic gradient.
We can calculate the cross-sectional area of the bioinfiltration system as:
A = length × width
A = 2m × 2mA = 4m²
We can calculate the discharge rate as:
Q = K × A × iQ = 1.5 cm/min × 4m² × 1Q = 6 cm³/min
Since the area is in square meters, we need to convert the discharge rate to cubic meters per second:
6 cm³/min = 6 × 10⁻⁶ m³/s
We can calculate the velocity of water as:
v = Q / A
v = 6 × 10⁻⁶ m³/s ÷ 4m²v
= 1.5 × 10⁻⁶ m/s
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Which of the following does not represent a function?
Answer:
D,
Step-by-step explanation:
D would be the only one that doesn't represent a function because the y-value never changes while the x-value does.
May someone help? God bless!!
Answer:
Radius of larger circle (2t): 2 * 4 = 8
Step-by-step explanation:
π * (2t)² + π * (t)² = 80π
4 πt² + π t² = 5 πt² = 80π
t² = 80π / 5π = 16
t = 4
Radius of larger circle (2t): 2 * 4 = 8
A truck delivers 14,000 pounds of gravel.
How many tons are in 14,000 pounds?
Enter your answer in the box.
Answer:
7
Step-by-step explanation:
its 7 im pretty sure because every ton is 2000 pounds.
meaning 14000÷2000= 7
Answer:
7 tons
Step-by-step explanation:
the answer is 7 tons beacause 200 pounds =1 ton
7× 2 = 14.
How many solutions does the equation below have? 2(4x + 10) = 8x+20
Answer:
There are infinite solutions
Step-by-step explanation:
2 (4x + 10) = 8x + 20
Distribute 2(4x + 10)
8x + 20 = 8x + 20
They equal each other meaning they are infinite solution
Which of the following best describes the sides of the transformed figure P’Q’R’S’
Answer: TO be honest what subject is this.
Step-by-step explanation:
What is the relation between the line segment joining the mid points of two sides of a triangle and the third side of the triangle?
The line segment joining the two midpoints is half the length of the third side, and said line segment is also parallel to the third side.
How many solutions does the equation below have?
-1/2 (6x + 7) = -5 – 3x
1. none
2. one
3. infinitely many
Answer:
1. none
Step-by-step explanation:
When you simplify the expression, you see that the statement is is false for any value of x.
Answer:
The answer is 1. None.
Step-by-step explanation:
I hope this helps!
Brainliest?
When rolling a pair of die, what is the probability of rolling the sum of 12 OR less than 5? P(sum of 12 OR <5)
The probability P (sum of 12 OR <5) is 7/36 because the total outcomes are 36.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total outcomes = 36
The probability that the sum is 12:
P(A) = 1/36
The probability that the sum is less than 5:
P(B) = 6/36
The probability:
P(sum of 12 OR <5) = 1/36 + 6/36 = 7/36
Thus, the probability P (sum of 12 OR <5) is 7/36 because the total outcomes are 36.
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formulas of a triangular prism
Answer: Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.?
Step-by-step explanation:
please help its due today
The measure of the angles are: K, L, C, N, O G = -3/4, 65, 8 40.4, 89 and 44 respectively
How to find the measure of the angles?To determine K
9x + 2 = 23 + 5x -1
9x -5x = -1 +2
4x = -3Making x the subject we have
x= -3/4
To find the value of L
Let angle L be x
x + 65 = 130
x=130-65
That is x = 65
To find the m<C
4x + 7 = 3x + 15
Collecting like terms
4x - 3x = 15-7
Making x the subject of the relation we have
x=8
To find the m<N
7x + 6x - 1 = 90
13x = 89
x=89/13
x= 6.9
Substitute x = 6.9 in 6x -1
6(6.9) -1
m<L = 40.4
To find the m<O
5x - 11 = 4x +9
5x-4x = 9 +11
x=20
By substitution in 4x +9 we have
4(20) +9
80+9
m<S = 89
To find the value of the angle G
6x - 4 = 5x +4
6x - 5x = 4+4
x = 8
Therefore the m<G is
5x +4
5(8) +4
40+4 = 44 digress
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a certain discrete mathematics class consists of 26 26 students. of these, 15 15 plan to major in mathematics and 15 15 plan to major in computer science. five students are not planning to major in either subject. how many students are planning to major in both subjects? (be prepared to explain your reasoning with some sort of diagram.)
A certain discrete mathematics class consists of 26 26 students. of these, 15 15 plan to major in mathematics and 15 15 plan to major in computer science. five students are not planning to major in either subject. 5 students are planning to major in both subjects.
Let M be the set of students planning to major in mathematics.
C be the set of students planning to major in computer science.
N be the set of students who are not planning to major in either subject.
From the question statement,
Total number of students in the class = 26
The number of students planning to major in mathematics = 15
The number of students planning to major in computer science = 15
The number of students who are not planning to major in either subject = 5
Here we have to find the,
Number of students planning to major in both subjects.
Total number of students in the class = Number of students in the set M + Number of students in the set C + Number of students in the set N
The total area enclosed by the circles represents the total population being considered.
The area enclosed by each circle represents the number of people who belong to that set only. The area enclosed by the intersection of the circles represents the number of people who belong to both sets.
Number of students in M only = 10
Number of students in C only = 10
Number of students in N only = 5
Total number of students in the class = 26.
We can summarize our findings in a table as shown below:
Set Notation Number of students M 15 C 15 N 5 M ∩ C x M' ∩ C' ∩ N 0 Total 26
The total number of students in the class = 26
Therefore, the number of students in M ∩ C is 5.
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Brainliest!! The missing inequality is
Answer:
please be more specific
Step-by-step explanation:
Let F(X) = - 8 - x^2, find the following:
(f(7) - f(3))/ 7 -3
A relation is a set of ordered pairs that define the relationship between two sets. And, a function is a relation in which each element of the domain is connected to a single element of the codomain. The evaluated function is -10.
To find the expression (f(7) - f(3))/ 7 -3, we need to first find f(7) and f(3).
Using the given function F(X) = - 8 - x^2, we can find:
f(7) = -8 - 7^2 = -57
f(3) = -8 - 3^2 = -17
Now, we can substitute these values into the expression:
(f(7) - f(3))/ 7 -3 = (-57 - (-17))/ (7-3) = -40/4 = -10
Therefore, the answer is -10.
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Which of the following expressions would simplify to be the multiplicative identity? 2 3 · 3 2 2 3 · 2 3 2 1 2 0
Answer:
2^1 i think
Step-by-step explanation:
Answer: 2^1
Step-by-step explanation:
The multiplicative identity is any numbers times one is that number.
URGENT!!!! 60 POINTS TO WHOEVER HELPS ME!!!
Factor each completely:
Answer:
(4x+5) (16x^2 - 20x +25)
2.) the acosta family went out to dinner. the price of the meal was $79.85. if the tip was 15%. how much money did the acosta family pay for the meal, including tip
the acosta family went out to dinner. the price of the meal was $79.85. if the tip was 15%.The Acosta family paid $91.83 for the meal, including the 15% tip.
To calculate the total amount paid, we need to add the original price of the meal to the tip amount. The price of the meal was $79.85, and the tip was 15% of that amount. To find the tip, we multiply $79.85 by 0.15 (or 15% expressed as a decimal), which equals $11.98. Adding the tip of $11.98 to the original price, the total amount paid is $91.83.
In more detail, a 15% tip means that 15% of the meal price is added as an extra amount to the bill. To calculate the tip, we multiply the meal price ($79.85) by 0.15 (or 15% as a decimal), resulting in $11.98. This represents the additional amount the Acosta family paid for the tip. To find the total amount paid, we add the tip amount to the original meal price: $79.85 + $11.98 = $91.83. Therefore, the Acosta family paid $91.83 for the meal, including the tip.
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Suppose set s1 is [1, 2, 5] and set s2 is [2, 3, 6]. After s1.addAll(s2), s1 is __________.
After set s1.addAll(s2), s1 is [1, 2, 5, 2, 3, 6].
After performing the operation s1.addAll(s2) on sets s1 [1, 2, 5] and s2 [2, 3, 6], the set s1 would become[1, 2, 5, 2, 3, 6].
To determine the value of s1, the following steps has to be taken:
1. Start with sets s1 [1, 2, 5] and s2 [2, 3, 6].
2. Apply the addAll operation with set s2: [2, 3, 6]
3. Add each element from set s2 to set s1, while avoiding duplicates (since sets cannot have duplicate elements).
4. Therefore, suppose if set s1 is [1, 2, 5] and set s2 is [2, 3, 6] then, after s1.addAll(s2), the set s1 becomes [1, 2, 5, 2, 3, 6].
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Coplanar circles that intersect in one point are called.
Answer:
Tangent circles
Step-by-step explanation:
Tangent circles are coplanar circles that intersect in one point.
Hope this helps :)
Have a nice day!
If a family threw away 2.4 Kg of aluminum in a month, how many cans did they throw away?
Answer:
150 cans were thrown away
Step-by-step explanation:
If the weight of 10 aluminum cans=0.16 kilogram
Each can weighs=0.16 kilograms/10
=0.016kg per can
If the family threw away 2.4 kilogram of aluminum in a month,
How many cans did they throw away?
Total cans thrown away= Total kilogram of cans/each kilogram of cans
=2.4kg/0.016kg
=150 cans
150 cans were thrown away