The average population increases every year is 21429.
What is average rate?Average rate is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.
Given that, the population of McKinney is about 180,000.
The population is increasing at an average rate of 8.4.
So, the population increase every year
= 180,000/8.4
= 21429
Therefore, the average population increases every year is 21429.
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In a classroom, 100 plastic fish are in a tub. The tub is hidden from the student view. Some fish are green, and the rest are yellow. The students know that there are 100 fish, but they don’t know how many of each color there are. The students go fishing, each time, picking a random fish from the tub, recording its color, and throwing the fish back in the tub. At the end of the day, 65 fish have been chosen, 12, green and 53 yellow. What is the best estimate you can give for the number of green fish in the number of yellow fish in the tub? Describe how to calculate this best estimate, and explain why your method of calculation makes sense in a way that a seventh grader my understand. Is your best estimate necessarily accurate? Why or why not?
The best estimate for the number of fish is that there are 82 yellow fish and 18 green fish, which you can calculate using the rule of three. This estimate is expected to be accurate.
What is the estimated number of fish of each color?This can be calculated using a rule of three as follows. Let's start with the yellow fish:
53 = 65
x = 100
53 x 100 / 65 = 82 yellow fish
Green fish:
12 = 65
x = 100
12 x 100 / 65= 18 green fish
Is this estimate accurate?This estimate is expected to be accurate; however, there might be small differences in real life such as 80 yellow fish and 20 green fish.
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what is the triangles congruence theorem could you use to prove the triangle ADE is congruent to Triangle CDE
A) side angle side triangle congruence
B) angle side angle triangle congruence
C) side side side triangle congruence
D) side side angle triangle congruences
Answer:
I belive its A
Step-by-step explanation:
because it cant be b c nor d
Answer:
B
Step-by-step explanation:
A and C are congruent and so is AE and CE and E has congruent angles AKA angle side angle
in a sampke of 1100 us adults 209 think the most celebrities are good role models. Two U.S adults are selected from this samole without replacement complete parts (a) through c
a. The probability that both adults think most celebrities are good role models is 0.0359
b. The probability that neither of adults think that celebrities are good model is 0.6559.
How to calculate the probability?P(adult think most celebrities are good role models) = 209 / 1100
Since the first selected adult is not replaced, there are 1099 total adults left.
P(second adult think most celebrities are good role models) = 208 / 1099
So, P(both adults think most celebrities are good role models) = 209 / 1100 * 208 / 1099
= 0.19 × 0.1893
= 0.0359
b) The probability that neither of adults think that celebrities are good model is,
P(Neither adult) = P(1st adult does not think)P(2nd adult does not think)
= ((1100 – 209)/1100)((1100 – 209– 1)/1099) =0.6559
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Complete question
In a sample of 1100 us adults 209 think the most celebrities are good role models. Two U.S adults are selected from this sample
Calculate the probability that both adults think most celebrities are good role models.
Calculated the probability that neither of adults think that celebrities are good model.
PLEASE HELP
Which of the following inequalities is true according to the number line?
Answer:
A ≥ D
Step-by-step explanation:
What is the value of x in the equation = 262WIN
Answer:
B. 39
Explanation:
Given the equation:
\(\frac{2}{3}=\frac{26}{x}\)First, cross multiply:
\(2x=26\times3\)Next. divide both sides by 2:
\(\begin{gathered} \frac{2x}{2}=\frac{26\times3}{2} \\ x=39 \end{gathered}\)The value of x is 39.
How much space will a cylindrical water tank occupy if its height is 100 cm and its diameter is 30
find the volume
Answer:
volume of a cylindrical water tank = 70,650cm³
Step-by-step explanation:
volume of cylinder, V = πr²h
where π = 3.14
h = 100cm
r = ?
given is diameter = 30cm
r = d/2 = 30/2 = 15cm
substituting the values in the formula,
V = 3.14 * 15² * 100
= 3.14 * 225 * 100
= 70,650cm³
Answer:
How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm
Volume: 706,500 cm³
Step-by-step explanation:
How much space it would take up:
To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.
The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.
To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.
A = π(15 cm)²
A = π(225 cm²)
A ≈ 706.86 cm²
So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.
The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.
Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.
Volume:
To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.
First, we need to find the radius by dividing the diameter by 2:
Radius = 30 cm / 2 = 15 cm
Now we can calculate the volume:
V = π(15 cm)²(100 cm)
V = 3.14 * 225 cm² * 100 cm
V = 706,500 cm³
Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.
Two of the sides of a right triangle are 8 and 6 units long. How long is the third side? Find all possible answers. Natural lengths, but not all. Three natural numbers, that could be sides of a right triangle, are called Pythagorean triple . The ultimate goal of this set of problems is to find all Pythagorean triples .'
All possible answers are _; _; _; _; _; _; units long
Ps. plz someone solve this
100 brainly points to whoever solves this.
Write the following phrase as an algebraic expression. Use n for a number." three increased by the quotient of a number and two a. 3 + 2 b. 3 + C! 312+ 2) d. 3 + 212
Answer:
Write the following phrase as an algebraic expression. Use n for a number." three increased by the quotient of a number and two a. 3 + 2 b. 3 + C! 312+ 2) d. 3 + 212
Step-by-step explanation:
Write the following phrase as an algebraic expression. Use n for a number." three increased by the quotient of a number and two a. 3 + 2 b. 3 + C! 312+ 2) d. 3 + 212
Answer:
The answer is b. 3 + n / 2
Step-by-step explanation:
Each student is on 1 team. Race Details The field is 40 feet wide. • Each runner gets 1 lane. •Mrs. Achilles has 7 trophies. Use the Race Details list to answer the following question. 1. Each lane must be an equal width. Mrs. Achilles wants to use the entire width of the field for lanes. How wide will each lane be if Mrs. Achilles sets out 10 lanes? 5 lanes? Use multiplication facts to help you.
Answer:
LOL
Step-by-step explanation:
Okay so your going to multiple tye 2 number okay then your going to do all numbers
Use a phone so u can multiple
Using synthetic division, what is the quotient of this expression?
When dividing the polynomial\(P(x) = 2x^3 + 5x^2 - 3x + 4\) by the binomial (x - 2), the quotient is \(5x^2 + 10x + 20.\)
To find the quotient when dividing the polynomial \(P(x) = 2x^3 + 5x^2 - 3x + 4\) by the binomial (x - 2), we can use synthetic division. Synthetic division is a method used to divide polynomials quickly and efficiently.
First, we set up the synthetic division table by writing the coefficients of the polynomial in descending order:
2 | 5 -3 4
|___________
Next, we bring down the first coefficient, which is 5:
2 | 5 -3 4
|___________
| 5
To calculate the next row, we multiply the divisor (2) by the value in the previous row (5) and write the result below the next coefficient:
2 | 5 -3 4
|___________
| 5
|___________
10
We add the values in the second and third rows:
2 | 5 -3 4
|___________
| 5
|___________
10 7
We repeat this process until we reach the last coefficient:
2 | 5 -3 4
|___________
| 5
|___________
10 7
20 34
The quotient is given by the numbers in the bottom row: \(5x^2 + 10x + 20.\)
Therefore, when dividing the polynomial\(P(x) = 2x^3 + 5x^2 - 3x + 4\) by the binomial (x - 2), the quotient is \(5x^2 + 10x + 20.\)
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The complete question may be like:
Using synthetic division, what is the quotient when dividing the polynomial \(P(x) = 2x^3 + 5x^2 - 3x + 4\) by the binomial (x - 2)? human generated answer without plagiarism. 200 words.
problem 15.11 (a) verify that equation 15.11, the expression for the ratio of fiber load to matrix load (ff/fm), is valid.
The formula (ff/fm) for the relationship between fiber load and matrix load is correct.
what is fiber load of matrix load ?The load transfers from the matrix to the fiber and vice versa happen through the fiber-matrix interfacial region, which is a crucial component of composites. The majority of authors are in favor of weak interfaces as a way to boost fracture toughness. Crack-bridging and fiber pullout are given the toughening designation.
But, Vm=Am/Ac,
which, upon rearrangement gives Ac/Am=1 /Vim
. Also, from Equation 16.10a,Ec=EmVm+EfVf, which, when substituted for Ec into the previous expression, yields Ff Fm=EmVm+EfVfEmVm-1=EmVm+EfVf-EmVmEmVm=EfVfEmVm
The formula (ff/fm) for the relationship between fiber load and matrix load is correct.
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new i wiil make you brainleist One-fourth the difference between 2/3 and 1/2.
NO LINKS!! URGENT HELP PLEASE!!!
11. Write the equation for the graph
This is the same as writing y = sqrt(4(x+5)) - 1
===============================================
Explanation:
The given graph appears to be a square root function.
The marked points on the curve are:
(-4,1)(-1,3)(4,5)Reflect those points over the line y = x. This will have us swap the x and y coordinates.
(-4,1) becomes (1,-4)(-1,3) becomes (3,-1)(4,5) becomes (5,4)Recall the process of reflecting over y = x means we're looking at the inverse. The inverse of a square root function is a quadratic.
----------
Let's find the quadratic curve that passes through (1,-4), (3,-1) and (5,4).
Plug the coordinates of each point into the template y = ax^2+bx+c.
For instance, plug in x = 1 and y = -4 to get...
y = ax^2+bx+c
-4 = a*1^2+b*1+c
-4 = a+b+c
Do the same for (3,-1) and you should get the equation -1 = 9a+3b+c
Repeat for (5,4) and you should get 4 = 25a+5b+c
We have this system of equations
-4 = a+b+c-1 = 9a+3b+c4 = 25a+5b+cUse substitution, elimination, or a matrix to solve that system. I'll skip steps, but you should get (a,b,c) = (1/4, 1/2, -19/4) as the solution to that system.
In other words
a = 1/4, b = 1/2, c = -19/4
We go from y = ax^2+bx+c to y = (1/4)x^2+(1/2)x-19/4
----------
Next we complete the square
y = (1/4)x^2+(1/2)x-19/4
y = (1/4)( x^2+2x )-19/4
y = (1/4)( x^2+2x+0 )-19/4
y = (1/4)( x^2+2x+1-1 )-19/4
y = (1/4)( (x^2+2x+1)-1 )-19/4
y = (1/4)( (x+1)^2-1 )-19/4
y = (1/4)(x+1)^2- 1/4 - 19/4
y = (1/4)(x+1)^2 + (-1-19)/4
y = (1/4)(x+1)^2 - 20/4
y = (1/4)(x+1)^2 - 5
The equation is in vertex form with (-1,-5) as the vertex. It's the lowest point on this parabola. Placing it into vertex form allows us to find the inverse fairly quickly.
----------
The last batch of steps is to find the inverse.
Swap x and y. Then solve for y.
y = (1/4)(x+1)^2 - 5
x = (1/4)(y+1)^2 - 5
x+5 = (1/4)(y+1)^2
(1/4)(y+1)^2 = x+5
(y+1)^2 = 4(x+5)
y+1 = sqrt(4(x+5))
y = sqrt(4(x+5)) - 1
I'll let the student check each point to confirm they are on the curve y = sqrt(4(x+5)) - 1.
You can also use a tool like GeoGebra to verify the answer.
Prove that if parallel lines are crossed by a transversal, then the alternate interior angles are congruent. That is, use rigid transformations to map ∠CFG onto ∠BCF. Explain.
Alternate interior angles are congruent if parallel lines are crossed by a transversal.
What is congruent geometry?In congruent geometry, the shapes that are so identical. can be superimposed on themselves.
Here,
A figure has been shown below,
Where there is 2 parallel line intersected by a transversal line.
The measure of the alternate angle [besides interior and exterior angle], their measure are equal to corresponding angles as well as with alternate angles. As shown in the figure.
Thus, alternate interior angles are congruent if parallel lines are crossed by a transversal.
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Identify a set of parallel lines and a set of perpendicular lines
2)
AD|| CB, AB ||EF
Hope this helped you- have a good day bro cya)
evaluate 3^2*5^5*3^3*5^3/3^4*3^4
\( \frac{{3}^{2} \times {5}^{5} \times {3}^{3} \times {5}^{3} }{ {3}^{4} \times {3}^{4} } \\ = \frac{ {3}^{5} \times {5}^{8} }{ {3}^{8} } \\ = \frac{ {5}^{8} }{ {3}^{3} } \\ = \frac{390625}{27} \\ = 14467.592592......\)
This is the solution.
The middle school choir concert was 5/6 of an hour long. Each song was 1/12 of an hour. How many songs did the audience hear during the choir concert?
Answer:
The answer is 10 Songs
Step-by-step explanation:
Total hour=5/6=5/6×60=50min
Each song=1/12=1/2×60=5mins
Number of song sang=Total hour/Each song sang
N=50/5=10 songs
Solve the equation below using elimination*
3x + 3y = 3
2x - 3y = 7
What is the solution ?
Answer:
x=2
y=−1
Step-by-step explanation:
You can multiply the second equation by 3:
{2x-3y=7
{9x+3y=15 add the two together (in columns):
11x+0=22
so that x=22/11=2
substitute this back into the first equation:
2*2-3y=7
y=-1
my aunt's food budget is R 3500 . She save 1/5 of her budget. How much money did she save?
The money she saved is 700.
What are fractions?Simply put, a fraction shows us how many pieces of a whole we have. The slash that is printed between the two numbers indicates that the numbers are a fraction. We have two numbers: the numerator at the top and the denominator at the bottom. The number is represented mathematically as a quotient, where the numerator and denominator are split.Given:
Aunt's food budget = 3500
Fraction of the budget she saved = 1/5
So, the total money she saved = 1/5 of the food budget
= 1/5 × 3500
= 700
Therefore, the money she saved is 700.
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Ahab spent the day at the mall. First, he bought three tires for $50 each. Later, he returned one tire. After that, he found a five dollar bill. Also,he bought two jackets for $40 each. Write the total change to Ahab's funds as an integer.
Ahab's total change to funds is -$175, which means he spent more than he gained.
What are the funds?Ahab spent 3 tires at $50 each, which is a total of 3 x $50 = $150.
Later, he returned one tire, so he gets $50 back.
He also found a $5 bill, so he has an extra $5.
He then bought 2 jackets at $40 each, which is a total of 2 x $40 = $80.
The total amount Ahab spent is $150 + $80 = $230.
However, he also received $50 back and found $5, so his total change to funds is $50 + $5 - $230 = -$175.
Therefore, Ahab's total change to funds is -$175, which means he spent more than he gained.
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= Homework: Module 4: Part 4 ( Question 10, *4.7.2 A salesperson earns $338 selling $2600 worth of stereos. What is the commission rate? The salesperson's commission rate is ?%. (Simplify your answer. Type an integer or a decimal.)
Answer:
13%
Step-by-step explanation:
338/2600
13/ 100
I hope it help
Which of the following defines the ratio of pi
Answer:
The second option
Step-by-step explanation:
A gumball machine has 2,120 gumballs. Mike
bought 20 gumballs, which were dispensed
randomly. The results are in the table below.
How many of each color gumball do you predict
are in the machine?
Blue
5
Red
1
Green
8
Pink
4
Yellow
2
Based on the information, we can infer that the gumball machine had 530 blue gumballs, 106 red gumballs, 848 green gumballs, 424 pink gumballs, 212 yellow gumballs.
How to calculate the amount of gum of each color that was in the machine?To find the amount of gum of each color that was in the machine we must perform rules of three as shown below:
20 gums = 5 blue gums2,120 gum = ? blue gum2,120 * 5 / 20 = 530 blue gumballs20 gums = 1 red gums2,120 gum = ? red gum2,120 * 1 / 20 = 106 red gumballs20 gums = 8 green gums2,120 gum = ? green gum2,120 * 8 / 20 = 848 green gums20 gums = 4 pink gums2,120 gum = ? pink gum2,120 * 4 / 20 = 424 pink gumballs20 gums = 2 yellow gums2,120 gum = ? yellow gum2,120 * 2 / 20 = 212 yellow gumballsLearn more about gumballs in: https://brainly.com/question/428165
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Solve for x : 10x-8= 4-6x
anyone help?
Answer: x = 3
Step-by-step explanation:
Simplifying
10x + -4 = 6x + 8
Reorder the terms:
-4 + 10x = 6x + 8
Reorder the terms:
-4 + 10x = 8 + 6x
Solving
-4 + 10x = 8 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
-4 + 10x + -6x = 8 + 6x + -6x
Combine like terms: 10x + -6x = 4x
-4 + 4x = 8 + 6x + -6x
Combine like terms: 6x + -6x = 0
-4 + 4x = 8 + 0
-4 + 4x = 8
Add '4' to each side of the equation.
-4 + 4 + 4x = 8 + 4
Combine like terms: -4 + 4 = 0
0 + 4x = 8 + 4
4x = 8 + 4
Combine like terms: 8 + 4 = 12
4x = 12
Divide each side by '4'.
x = 3
Simplifying
x = 3
Add
to both sides of the equation
Simplify
Add
to both sides of the equation
Simplify
6
Divide both sides of the equation by the same term
Urgent giving Brainliest
Answer:
Step-by-step explanation:
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I answered it here.
Only answer if you're sure its correct!
Answer:
im sure its D.)
Step-by-step explanation:
Monique needs to rent a car while on vacation. The rental company charges $17.95, plus 15 cents for each mile driven. If Monique only has $40 to spend on the car rental, what is the maximum number of miles she can drive?
(could you possibly show me the steps?)
Answer:
the maximum no of miles she can drive is 147
Step-by-step explanation:
Let us assume the number of miles be x
Now the equation is
$17.95 + 0.15x = $40
0.15x = $40 - $17.95
0.15x = $22.05
x = $22.05 ÷ 0.15
= 147 miles
Hence, the maximum no of miles she can drive is 147
A class consists of 66 women and 98 men. If a student is randomly selected, what is the probability that the student is a woman
Answer:
write anser is 33/49 1 st one.
Step-by-step explanation:
hope it helps you
IF U DONT KNOW ANSWER THEN DONT ANSWER SIMPLE!
A hotel has a square lobby. Management wants to reserve a smaller square area in stone to serve as the base of a new seating area. The side length of the seating area will be four meters less than the side length of the lobby, as shown below. After purchasing materials, the manager noticed that two times the area of the seating area was equal to 16 square meters less than the area of the entire lobby. Write and solve a system of equations to determine the dimensions of the whole lobby and the smaller seating area cutout. A. The lobby is 8 meters by 8 meters, and the seating area is 4 meters by 4 meters. B. The lobby is 10 meters by 10 meters, and the seating area is 6 meters by 6 meters. C. The lobby is 12 meters by 12 meters, and the seating area is 8 meters by 8 meters. D. The lobby is 6 meters by 6 meters, and the seating area is 4 meters by 4 meters.
Answer:
C
Step-by-step explanation:
Use a graph to figure this out it will be as easy as eating a cake then
Hope this helps
please help me i cant under stand this
Answer:
Plot the same points that are on the table
Step-by-step explanation:
when given a table you are also given ordered pairs , so for example , the first pair on the table is (1,3) so plot that as your first point , then your second is (2,6) and so on . write these on the blank spaces aswell ! hope this helps :))))