Answer:
588
Step-by-step explanation:
Mr. Rivera wants to know which of the classes that he teaches works the hardest. How many populations does he need to answer this question?
(Please help it's 50 points thank you!)
The number of populations that he needs to answer this question is the number of classes that he teaches.
What is population and sample?Population: Collection or set of individuals or objects or events whose properties will be studied.
Sample: The sample is a subset of the population, and a well chosen sample, that is, a representative sample will contain most of the information about the population parameter. A representative sample means that all groups of the population are inserted into the sample.
Hence in this problem each population is the set of all students in each class, hence the number of populations that he needs to answer this question is the number of classes that he teaches.
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A, B and C are currencies of different countries. Three As are worth four Bs and five Bs are worth one C. How many As are two Cs worth?
When B and C are the currencies of different nations, two Cs are worth 7.5 As. Five Bs are equivalent to one C, while three As are worth four Bs.
what is equation ?Its precise nature is understood to be the figure is probably smallest equivalent fraction. How to determine the simplest form. Look for shared factors in the median and excess. A fractional number can always be checked to discover if it is a prime number. A statement having two equal sides and an equal sign in the intermediate is referred to as a linear expression. Every variable's classes are listed in lowest to highest in the general form of any formula. The formula for a linear function is x + b = 0. The simplified version of a two-variable mathematical expression is an x + b y + c = 0. (or something similar). Either conditioned equations or identities provide categories for equations. An identity holds true because of whatever value of the variables.
given
The aforesaid issue is easily resolved by doing the following:
Considering that,
Four Bs are worth three As.
It can be written as;
3A = 4B
determining B's value
B = 3A/4 (Equation 1) (Equation 1)
Now,
A B is worth five Cs.
So, 5B = C (Equation 2) (Equation 2)
Calculating B's value in equation 1
= 15A/4 = C
= 4C = 15A
2C = (15/2)A
2C = 7.5A
Therefore, the solution is 2C = 7.5A
When B and C are the currencies of different nations, two Cs are worth 7.5 As. Five Bs are equivalent to one C, while three As are worth four Bs.
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If 6% of a number equals one, find 24% of that number.
PLEASE HELP!!!!!!!!!!!!!!!
The decimals are less than 0.03.
All of the above.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
From the figure,
10 rows and 10 columns.
This means,
100 boxes.
Now,
3 boxes are shaded.
The fraction of shaded boxes.
= 3/100
= 0.03
Now,
0.02, 0.0, 0.00, and 0.01 are all less than 0.03.
Thus,
All the decimals are less than 0.03.
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What is the solution to the inequality of 7w+63>=150
Answer:
w ≥ 87/7
Step-by-step explanation:
Step 1: Subtract 63 from both sides.
7w+63−63≥150−63
7w≥87
Step 2: Divide both sides by 7.
7w/7 ≥ 87/7
w ≥ 87/7
Roman cuts a sheet of poster paper into 10 equal parts. His mom uses some of the paper and leaves 8/10 for Roman. He wants to make some posters with the leftover paper, how many posters can he make
Therefore , the solution of the given problem of fraction comes out to be Roman can thus perform 8 poster.
A fraction is what?Any number of equal amounts or fractions can be used to represent a whole. In standard English, the quantity of a certain size is stated as a fraction. 8, 3/4. Wholes also include ratio. Numbers are represented in mathematics by the fraction to numerator ratio. These are all straightforward integer fractions. There is a fraction in the denominator of a difficult fraction. because the calculations, numerators, and numerators of actual fractions vary.
Here,
Given :
Roman divided a poster board sheet into ten equally sized pieces.
The entire sheet should be x.
then, one part of sheet= 1/1 0 of the sheet
Currently, only 8/10 of the poster is left after his brother used portion of it.
Roman can therefore use each remaining piece of the poster to create a sign if he so chooses.
The number of indications he is capable of making is then
=> 8/10/1/10
= > 8/10 * 10 = 8.
Roman can thus perform 8 signs.
Therefore , the solution of the given problem of fraction comes out to be
Roman can thus perform 8 poster.
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Given the function x=yes
Evaluating the piecewise function we will get:
f(-1) = -13
f(0) =-8
f(2) = 10
How to evaluate the piecewise function?Here we have a piecewise function and we want to evaluate it on different values of x.
When x = -1, we need to use the first part, because -1 < 0.
f(-1) = 9*-1 - 4 = -13
when x = 0, we need to use the second part, because 0 ≥ 0.
f(0) = 9*0 - 8 = -8
When x = 2 we also use the second part:
f(2) = 9*2 - 8
f(2) = 18 - 8 = 10
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Which number line represents x<-3??
Answer:
1st number linline
Step by step explanation:
x < -3 means x is less than -3
so it should be any number less than -3
In the 2nd number line represents
[tex]x \leqslant - 3[/tex]
so the answer is 1st one
If 9 times a positive number is equal to 91 more than twice the same number, what is the number?
Answer:
13
Step-by-step explanation:
Len n = number.
9n = 2n + 91
7n = 91
n = 13
Answer: 13
Which of the following is the equation that represents the graph
y = -2/3x -6
y = -3/2x -6
y = -3/2x -4
y = -3/2x -4
The equation of the graph is y = -2/3x - 4
How to determine the equation of the graphA linear equation is represented as
y = mx + c
Where
c = y when x = 0
From the graph, we have
c = -4
So, the equation becomes
y = mx - 4
From the graph, we have the following point
(-6, 0)
So, we have
0 = -6m - 4
Evaluate
m = -2/3
So, we have
y = -2/3x - 4
Hence, the equation is y = -2/3x - 4
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what is gcf for 24x^5 and 10x
answer = there are three photos. all answer in three photos
a small business owner is applying for a small business loan and has been approved for a $50,000 loan with a 6.15% annual interest. the first loan is a simple interest rate, the second loan compounds interest quarterly, and the third loan compounds interest continuously. the small business owner plans to pay off the loan in three years and 7 months. Determine the total value of the loan with the quarterly compounded interest.
The total value of the loan with the quarterly compounded interest
is $117599.
What is compound interest?Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
We know the formula for compound interest is,
A = P(1 + r/100)ⁿ.
Where, A = amount, P = principle, r = rate, and n = time in years.
The formula for compound interest compounded quarterly is,
A = P(1 + (r/4)/100)⁴ⁿ.
[tex]A = 50000(1 + 6.15/100)^{4\times\frac{43}{12}}[/tex].
[tex]A = 5000(1 + 0.0615)^{14.33}[/tex].
[tex]A = 5000(1.0615)^{14.33}[/tex].
[tex]A = 5000\times2.352[/tex].
A = $117,599.
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Write an expression for [tex]\sqrt{32}[/tex] without any perfect square factors other than 1 in the radicand. Explain your steps.
The simplified expression of the given expression is 4√2
How to determine the simplified expressionFrom the question, we have the following parameters that can be used in our computation:
√32
Express 32 as 16 * 2
So, we have
√32 = √16 * √2
Evaluate the radicand
√32 = 4√2
HEnce, the solution is 4√2
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The
• The top of a second mattress has 1½ times as much area as
the first mattress. What is the area of the top of the second
mattress? Write an equation to model the problem.
The area of the top of the second mattress , 3/2x²
The equation to model the problem is y= 1.22x.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
let the side of mattress one be x
and, the side of Mattress 2 be y.
So, area of Mattress 2 / Area of Mattress 1 = 1 1/2
area of Mattress 2 / Area of Mattress 1 = 3/2
y²/ x² = 3/2
(y/ x)² = 3/2
y/x = √3/2
y /x = 1.22
Hence, the equation is y= 1.22 x .
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Me ayudais por favor
Answer:
x= - 52
Step-by-step explanation:
we need to multiply both sides by 4 to leave the x alone
so
[tex]\frac{-x}{4} *4= 13*4\\-x= 52\\\frac{-x}{-1}=\frac{52}{-1}\\ x=-52[/tex]
Look at the figure. Find BC.
VIEW THE IMAGE ATTACHED BELOW.
Answer:
BC = 18
Step-by-step explanation:
the diagonal AC is the perpendicular bisector of diagonal BD
this indicates the figure is a Kite with sides AB ≅ AD and BC ≅ DC
then
BC = DC = 18
Answer:18
Step-by-step explanation: Square root of 18²-8²= 16.124.........
The square root of 16.124..........²+8²=18
Which interval on the graph could be described as linear decreasing? a A b B c C d D
Answer:
C
Step-by-step explanation:
Consider the logistic equation
y=y(1-y)
a.Find the solution satisfying 1(0)=14 and y2(0)=-3
y1(t)=
y2(t)=
b.Find the time t when y1(t)=7
t=
c.When does y2(t) become infinite?
t=
The solution satisfying y1(0)=14 and y2(0)=-3 are y1(t) = 14 * e^(tln(14/13)) / (1 + (14/13)e^(tln(14/13))) and y2(t) = -3 * e^(tln(-3/2)) / (1 + (-3/2)e^(tln(-3/2)))
The time t when y1(t)=7 is 1.08y2(t) becomes infinite when t ⇒ +∝Find the solution satisfying y1(0)=14 and y2(0)=-3The logistic equation is a non-linear ordinary differential equation that models the growth of populations over time.
The solution to the logistic equation with initial conditions y1(0)=14 and y2(0)=-3 is given by (from a graphing tool):
y1(t) = 14 * e^(tln(14/13)) / (1 + (14/13)e^(tln(14/13)))
y2(t) = -3 * e^(tln(-3/2)) / (1 + (-3/2)e^(tln(-3/2)))
Note: ln is the natural logarithm function.
Find the time t when y1(t)=7The time t when y1(t)=7 can be found by solving for t in the equation y1(t) = 7.
From the graphing tool, we have
t = 1.08 when y1(t) = 7
When does y2(t) become infinite?he solution y2(t) becomes infinite when the denominator of the equation becomes zero.
This occurs when -3/2 * e^(t * ln(-3/2)) = -∞.
This can be written as t * ln(-3/2) = ∞, which occurs when t approaches positive infinity.
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PLEASE HELP ASAP WITH IREADY AREA TYY The circle has a radius of 9 inches and is divided into 6 equal parts. the area of a single section of the circle is equal to 13.5(pie) square inches
The expressions that can be used to find the area of the shaded portion of the circle are 9²·π - (2 · 13.5π ) and 2/3 · 9²·π
How to determine which expressions can be used to find the area of the shaded portion of the circle?Since the whole circle has a radius of 9 inches. The area of the whole circle will be 9²·π square inches (Remember: Area of circle = πr²)
Also, the area of a single section of the circle is equal to 13.5π square inches.
We can get the area of the shaded portion (blue ones) by subtracting the area of the unshaded portion (white ones) from the area of the whole circle. That is:
9²·π - (2 * 13.5π )
Notice that we have 2 unshaded (whites)
Also, there 4 shaded portions out of the whole 6. We can write:
area of shaded portions = 4/6 · 9²·π = 2/3 · 9²·π
Thus, the expressions are is 9²·π - (2 · 13.5π ) and 2/3 · 9²·π
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Prove the Consecutive Interior Angles Theorem.
Given: p || q
By the given explanation it is proven that ∠1 and ∠3 are supplementary from this, it has proven the Consecutive Interior Angles theorem.
Consecutive Interior Angles theorem:According to the consecutive interior angle, if a transversal intersects two parallel lines each pair of consecutive interior angles is supplementary, meaning that the sum of the consecutive interior angles equals 180°
Here we have
Line p and line q are two parallel lines and line 't' is a transversal on Line p and line q
Theorem:
When a transversal intersects two parallel lines, each pair of consecutive interior angles is supplementary i.e added up to 180°.
We can prove the above theorem as follows
Given p║q
Let's take angles 4 and 5 on line 'p' as shown below
Here ∠4 + ∠3 = 180° [∵ pair of linear angle ]
Now substitute ∠1 in place of ∠4
=> ∠1 + ∠3 = 180° [ ∵ Corresponding angles ∠1 and ∠4 are equal ]
Therefore,
By the given explanation it is proven that ∠1 and ∠3 are supplementary from this, it has proven the Consecutive Interior Angles theorem.
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I need help with this problem
In the United States,
13
1313 out of every
20
2020 cans are recycled.
What percent of cans are recycled?
In the United States, 65% of cans are recycled.
What is the percentage?A number or ratio that can be expressed as a fraction of 100 is called a percentage. Divide the number by its whole number and multiply it by 100 if we have to figure out the percentage of that number. Consequently, the percentage represents one part per hundred.
Given In the United States, 13 out of every 20 cans are recycled.
total cans = 20
recycled cans = 13
percent of recycled can = 100*recycled cans/total cans
percent of recycled can = 100*13/20
percent of recycled can = 60%
Hence 65% of cans are recycled.
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Correct question is In the United States, 13 out of every 20 cans are recycled. What percent of cans are recycled?
how water changes its state in each part of the water cycle 1 paragraph
Answer:
The water cycle involves the continuous movement of water on, above, and below the surface of the Earth. In the cycle, water can exist in three states: liquid, solid, and gas. During evaporation, liquid water changes into water vapor, the gaseous state of water, as it heats up and turns into steam. When water vapor cools, it can condense back into liquid form, such as when it forms clouds. Precipitation, such as rain or snow, occurs when water droplets in the clouds become heavy enough to fall from the sky. When precipitation reaches the ground, some of it may flow into rivers and streams and eventually make its way to the ocean. Some of it may also be taken up by plants or seep into the ground, becoming part of the groundwater system. Eventually, the water in the groundwater system may evaporate back into water vapor and start the cycle over again.
A shop has a sale of
1
3
off all items in stock.
If the original price of a dress is £27, what would be its sale price?
The sales price of the item is £18
How to determine the sales priceFrom the question, we have the following parameters that can be used in our computation:
Discount = 1/3
Original price = 27
This means that
Sales price = original price * (1 - discount)
Substitute the known values in the above equation, so, we have the following representation
Sales price = 27 * (1 - 1/3)
Evaluate
Sales price = 18
Hence, the sales price is #18
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A large equilateral triangle pyramid stands in front of the city's cultural center. Each side of the base measures 50 feet and the slant height of each lateral side of the pyramid is 40 feet.
A painter can paint 100 square feet of the pyramid in 18 minutes.
How long does it take the painter to paint 75% of the pyramid?
Enter your answer, rounded to the nearest tenth, in the box.
Answer:
Step-by-step explanation:
The lateral surface area of the pyramid can be found using the formula for the area of an equilateral triangle:
A = (s^2 * √3) / 4
where s is the length of one side of the equilateral triangle base.
For this pyramid, s = 50 feet
A = (50^2 * √3) / 4 = (2500 * √3) / 4 = 1250 * √3 ≈ 2129.28 ft^2
The total surface area of the pyramid can be found by adding the area of the base to the area of the lateral surface:
A = base area + lateral surface area
A = (side length^2 * √3) / 4 + (3 * triangle area)
A = (50^2 * √3) / 4 + (3 * (50^2 * √3) / 4)
A = 2500 * √3 + 3750 * √3 ≈ 5884.28 ft^2
To paint 75% of the pyramid, the painter needs to paint 75% * 5884.28 ft^2 = 4413.71 ft^2
Since the painter can paint 100 ft^2 in 18 minutes, he can paint 4413.71 ft^2 in 4413.71 / 100 * 18 minutes ≈ 786.96667 minutes
Rounding to the nearest tenth, the painter will take 786.967 minutes to paint 75% of the pyramid, which is approximately 13.1 hours.
Please help me ans this question
After simplification, the value of expression is, (x + 1) / (2x - 1).
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
The expression is,
⇒ 10x² + 10x / 20x² - 10x
Now, We can simplify as;
⇒ (10x² + 10x) / (20x² - 10x)
⇒ 10x (x + 1) / 10x (2x - 1)
⇒ (x + 1) / (2x - 1)
Thus, The value of expression is, (x + 1) / (2x - 1).
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Sets A, B, and C are subsets of the universal set U.
These sets are defined as follows.
U= {f, g, h, p, q, r, x, y, z)
A={g, h, q, r, z
:}
B={q, r, x, y, z)
C = {h, p, q,y}
Find (An B)' U C'.
Write your answer in roster form or as Ø.
(An B)' UC' = []
As sets A, B, and C are subsets of the universal set U, the value of A’ ∪ B’ U C' = {f}.
What is De Morgans law?Demorgan's law can be utilised in set theory and boolean algebra to make mathematical formulations simpler. Let's say that the universal set U has two subsets, A and B. A' is A's complement, and B' is set B's complement.
Given that, (An B)' UC'.
Using the De Morgan's law we have:
(A ∩ B)’ = A’ ∪ B’.
Substituting this in (An B)' UC'. we have:
A’ ∪ B’ U C'
A' = {f, p, x, y}
B' = {f, g, h, p}
C' = {f, g, x, z}
A’ ∪ B’ U C' = {f}
As sets A, B, and C are subsets of the universal set U, the value of A’ ∪ B’ U C' = {f}.
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7. A rancher has 1000 m of fencing to enclose two rectangular corrals. The corrals have the same dimensions and one side in common. What dimensions will maximize the enclosed area? X y
The dimensions that will maximize the enclosed area are 125 meters by 250 meters
What dimensions will maximize the enclosed area?Represent the dimensions with x and y
So, we have the following equations
Perimeter = 4x + 2y = 1000
Area = 2xy
So, we have
2x + y = 500
This gives
y = 500 - 2x
So, we have
Area = 2x(500 - 2x)
Expand
Area = 1000x - 4x^2
Differentiate and set to 0
1000 - 8x = 0
So, we have
8x = 1000
Divide
x = 125
Recall that
y = 500 - 2x
y = 500 - 2 * 125
y = 250
Hence, the dimension is 125 by 250
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PLease HELP ME!!!
Questions and Answers are in the link below
The equation can be used to solve for x is 90-52 = (12x - 10)°
How to determine which equation can be used to solve for x?Angle geometry is a branch of mathematics that deals with the study of angles and their properties in two-dimensional figures such as circles, triangles, and polygons.
In the diagram, since vertically opposite angles are equal. Thus, we can say:
∠UTW = ∠VTZ
90 - 52 = (12x - 10)°
38 = 12x - 10
12x = 38 + 10
12x = 48
x = 48/12
x = 4
Therefore, the equation is 90-52 = (12x-10)°
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A new is being built in Safety Harbor. The perimeter of the rectangular playing field is 582 yards. The length of the field is 4 yards less than quadruple the width. What are the dimensions of the playing field?
The dimensions of the rectangular field are given as follows:
Length: 232 yards.Width: 59 yards.How to obtain the perimeter of a rectangle?The perimeter of a rectangle is given by twice the sum of the length and the width of the rectangle, as follows:
P = 2(l + w).
For this problem, the perimeter is of 582 yards, hence:
2(l + w) = 582
l + w = 291.
The length of the field is 4 yards less than quadruple the width, hence:
l = 4w - 4.
Then the width is obtained as follows:
4w - 4 + w = 295
5w = 295
w = 295/5
w = 59.
The length is obtained as follows:
l = 4 x 59 - 4
l = 232 yards.
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