Step-by-step explanation:
l = length
w = width
we know, the perimeter of our rectangle is
2×l + 2×w = 600
and that tells us
l + w = 300
l = 300 - w
the area of the rectangle is
A = l × w
so, we use the previous equation in this one :
A = (300 - w) × w = -w² + 300w
this is a quadratic equation that is opening down (negative initial factor).
so the vertex of this parabola is the maximum.
the x (or in our case w) coordinate of the vertex is
-b / 2a
a = -1
b = 300
so,
w = -300 / (2×-1) = -300/-2 = 150 ft
and l × w = 300
l = 300 - w = 300 - 150 = 150 ft.
the maximum area for 600 ft fence is a square with 150 ft side length.
PLEASE HELP DUE SOON
(a lot of points)
Answer:Im not sure, but i think it's 443,17$
Step-by-step explanation:
She worked 37 Hours
37*9,25 (9,25 is the money she got by each hour) = 342,25
The sum of all sales is 3,364$, 3% of that is 100,92
342,25 + 100,92 = 443,17
3. An 8in by 12in picture is framed with a frame of uniform width. The entire perimeter of
the framed picture is 64 inches. Find the width of the frame. x.
Answer:
x=6in
Step-by-step explanation:
to find x, we need to figure out what side a(8in) + side b(12in)
8+12=20. what we need to be is 32 because 32 is half of 64, and we did half of the perimeter by only adding side b to side a, instead of adding them both twice.
the distance from 20 to 32 is 12.
x=6 because you have to add 6 to side b, and side a, and you will get 14in and 18in. 14+18=32
the reason i said, "the distance from 20 to 32 is 12." is because if you divide it by 2, you get the answer. this works is because we are dividing into two sides, like i said, so 12/2=answer
hope this helps
(4.2x10^2) + (2.3x10^4)
Answer:
23,420
Step-by-step explanation:
10^2=100
4.2×100=420
10^4=10,000
2.3×10,000=23,000
420+23,000=23,420
Square abcd, shown below, contains eleven smaller, un-shaded squares. The side length of each small square is of the side length ofsquare abcd. What percentage of square abcd is 1 5 shaded?
Answer:%56
Step-by-step explanation:
-15 turned into a rational number as a/b
Answer:
-15/1 is a rational number that gives you the answer. There is other answers such as -45/3 to get -15, but -15/1 is much simpler.
Step-by-step explanation:
-15/1 is a rational number that gives you the answer. There is other answers such as -45/3 to get -15, but -15/1 is much simpler.
for every 4 green apples marion picks, she picks up 9 red apples. if marion picked 135 red apples, how many total apples did she pick?
Use The image to the right to answer Questions 1 - 4
1. Name two points collinear to point D.
2. Give another name for line p.
3. Name the intersection of line r and plane K.
4. Name a point non-coplanar to plane K.
Considering the given line and plane, it is found that:
1. Points E and F are colinear to point D.
2. Another name for line p is line AB, as these two points form the line.
3. The intersection of line r and plane K is at point X.
4. One point non-coplanar to plane K is of W.
Item 1Two points are colinear if they belong to the same line. In the context of this problem, points D, E and F belong to line q, hence points E and F are colinear to point D.
Item 2
Given two points, there is only one line that can pass through these points. Line p in this problem is composed by points A and B, hence the line can also be called line AB.
The intersection of a plane and a line is at a single point, and the point of line r that is coplanar to plane K is point X, hence it is the intersection of the line with the plane.
Item 4
A point is coplanar to a plane when the point belongs to the plane. In this problem, points W and Y do not belong to plane K, hence both are non-coplanar to plane K.
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Dalvin is going to invest in an account paying an interest rate of 3.1% compounded annually. How much would Dalvin need to invest, to the nearest dollar, for the value of the account to reach $1,620 in 20 years?
Answer:
$880
Step-by-step explanation:
[tex]p( {1.031}^{20} ) = 1620[/tex]
[tex]p = \frac{1620}{ {1.031}^{20} } = 879.71[/tex]
To the nearest dollar: $880
Please explain the law of detachment and the law of syllogism.
Please also give 1 example for each law.
Law of Syllogism
The law of syllogism, also called reasoning by transitivity, is a valid argument form of deductive reasoning that follows a set pattern. It is similar to the transitive property of equality, which reads: if a = b and b = c then, a = c.There are also three parts involved in the law of syllogism, and each of these parts is called a conditional statement. A conditional statement has a hypothesis, which follows after the word if, and it has a conclusion, which follows after the word then. A letter is used to represent each phrase of the conditional statement. Let me introduce the pattern, and then we can look at some examples. Statement 1: If p, then q. Statement 2: If q, then r. Statement 3: If p, then r. Statements 1 and 2 are called the premises of the argument. If they are true, then statement 3 must be the valid conclusion.Law of Detachment
The law of detachment states that if a conditional statement is true and its antecedent is true, then the consequence must also be true.There are endless examples both in mathematics and beyond of the law of detachment. One example is a coffee shop that gives a free drink to every 25th customer. As a conditional statement, this is “If someone is the 25th customer, then they get a free drink. ”Thus, if you are the 25th customer, you know you will get a free drink. Likewise, if your friend is the 25th customer, you know he will get a free drink.Sources: https://www.storyofmathematics.com/law-of-detachment/
https://study.com/academy/lesson/law-of-syllogism-in-geometry-definition-examples.html
Refer to the attachment
5. Every year 3% of university students drop out of their course at
CleverClogs University. This year 12 people dropped out. How
many people started at the beginning of the year?
Total number of people 400 started at the beginning. To calculate the percentage, divide the value by the total value and multiply the result by 100.
What is meant by Percentage?A percentage is a number or ratio that can be expressed mathematically as a fraction of 100. Divide the number by the whole and multiply by 100 to get the percentage.As a result, the percentage represents a part out of 100. % stands for one hundred percent. The symbol "%" represents it. A percentage is a relative value that represents one-hundredth of a whole. One percent (symbolized 1%) represents one hundredth part; thus, 100 percentTherefore,
Percentage of students dropped = 3%
Number of people dropped this year= 12
To find Total students = (12/3) * 100 = 400
That is to find how many people dropped is = 400 *(3/100) = 12
so we can rearrange the formula .
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please my teacher will know its not me writing please make the explanation simple
A rabbit's fur grows at the rate of 5 over 2 inches per month.
How many months will it take the rabbit's fur to grow 15 over 4 inches?
Explain your answer using words, and show your work using division of fractions. (10 points)
Your answer:
Step-by-step explanation:
can we become friends????
Please help me ( and please use the letter so easy for mr to find it, Thank you ^^ )On which number line do the points represent negative five and one over two and +2? (4 points)
a
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed in between the 5th and 6th tick marks to the left of 0. A point labeled T is placed between the 3rd and 4th tick marks to the left of 0.
b
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed in between the 3rd and 4th tick marks to the right of 0. A point labeled T is placed between the 5th and 6th tick marks to the right of 0.
c
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 2nd tick mark to the left of 0. A point labeled T is placed between the 5th and 6th tick marks to the right of 0.
d
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed is placed between the 5th and 6th tick marks to the left of 0. A point labeled T is placed on the 2nd tick mark to the right of 0.
Answer:
Step-by-step explanation:
Need to give more information to solve this problem
Graph the function. Find the y-intercept and state the domain and range. y = 4(2x) + 1
The domain and the range of the function y = 4(2x) + 1 are oo < x < oo and oo < y < oo
How to determine the domain and the range?The function is given as
y = 4(2x) + 1
Rewrite as a function
f(x) = 4(2x) + 1
Next, we plot the graph of the function (see attachment)
From the graph, we can see that the graph is a linear graph
This means that the function has a domain and a range of all set of real values
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write y+1=-2(x-3) in slope intercept form
im not sure but i believe this is right i hope this helps
24x - 30 + 45-81x - 320x + 80
please help, I don’t know my properties very well. The choices are
associative property of addition
Commutative property of addition
Associative property of multiplication
Commutative property of multiplication
Answer:
C) Associative property of multiplicationStep-by-step explanation:
Given equation:
- 3x * 2 = 2The first step:
- 3 * 2x = 2We see right side is same and changes on the left side, similar to:
(ab)c = a(bc),where the factors are differently grouped, but it doesn't change the product.
This property is called:
Associative property of multiplicationThe matching choice is C
Find the simple interest and the future value for principal amount $6000, rate 4%, and time 1 year. The simple interest is $The future value is $
We have the following equation to find the simple interes:
[tex]I=P\cdot n\cdot r[/tex]where P is the principal amount, r is the rate and n is the time period.
In this case, we have the following:
[tex]\begin{gathered} P=6000 \\ n=4\%=0.04 \\ n=1 \\ \Rightarrow I=6000\cdot0.04\cdot1=240 \\ I=240 \end{gathered}[/tex]thus, the interest after 1 year is $240.
To find the future value, we can add the interest to the principal amount to get:
[tex]F=6000+240=6240[/tex]therefore, the future value is $6240
PLEASE HELP I CANT LET MY GRADES GET ANY LOWER!!!
Which is the BEST next step for solving the inequality shown?
14 > x + 7(x+1) -1
14 > x + 7x + 7 -1
A. Subtract x from both sides of the inequality.
B. Subtract 7 from both sides of the inequality.
C. Combine the like terms on the right-hand side of the inequality.
D. Add 1 to both sides of the inequality.
The next step is Add 1 to both sides of the inequality.
what is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age? Olivia's age is unknown to you because the word "equals" is missing. However, since you are aware that she should be under or equal to 12, you can write Olivia's Age ≤ 12. This is a real-world example of an inequality.
Given:
14 > x + 7(x+1) -1
14 > x + 7x + 7 -1
now, Add 1 to both sides of the inequality.
14+ 1 > x+ 7x + 7- 1 +1
15> x+ 7x +7
again, Subtract 7 from both sides of the inequality.
15 - 7 > x+ 7x + 7 -7
8 > x+ 7x
and, 8 > 8x
1>x
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Please answer the questions in photo ( will mark brainliest )
Answer: 4 =division 5=multiplication6=subsitution
Step-by-step explanation:
Simple rules
roman spun the spinner 34 times and landed on 4 a total of six times what is romans experimental probability
Romans experimental probability is 0.176.
What is probability?Probability simply means the likelihood that something will happen or take place.
In this case, Roman spun the spinner 34 times and landed on 4 a total of six time.
The probability will be:
= Number of occurence / Total available value
= 6 / 34
= 0.176
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Change 7/3 from an improper fraction to a mixed number.
7 0/3
2 1/3
3 1/2
2 3/1
Answer:
Step-by-step explanation:
Here is what the mixed number looks like. [tex]W\frac{R}{D}[/tex]
W- whole numbers (that is the integers)
R- remainder
D- denominator
If you ever want to convert an improper fraction to a mixed number, here are the steps.
Step 1: Use traditional division. How many does 3 goes into 7? 2 times with remainder, R=1 (how many is left over after dividing).
Step 2: Replace the unknowns with D=3
Note: the denominator always stays the same!
[tex]2\frac{1}{3}[/tex]
Find the value of m.
28
3
35°
| | (1 d.p.)
The value of the base in the given triangle is 22.96.
What is a triangle?Three edges and three vertices make up the three sides of a triangle, which is a three-sided polygon in geometry. The fact that a triangle's internal angles can be added up to equal 180 degrees is its most significant characteristic. Triangle's angle sum property is what this characteristic is known as.
We have given to find m, we will use cosine rule
cos ∅ = base/hypotenuse
Here ∅ = 35°
Base = m
Hypotenuse = 28
lets substitute the values and we get,
⇒ cos 35° = m/28
⇒ m = cos 35° × 28
⇒ m = 0.82 × 28 ( cos 35° = 0.82)
⇒ m = 22.96
Thus, the value of the base in the given triangle is 22.96.
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PLS HELP!!!
Carlos is a receptionist at a law firm. He spends 2 minutes routing each phone call as it
comes in.
Write an equation that shows how the total number of minutes Carlos spends routing calls, y,
depends on the number of calls, X.
The linear equation that relates the time with the number of calls is:
Y = (2min)*X
How to write the linear equation?We know that Carlos is a receptionist at a law firm. We know that he spends 2 minutes routing each phone as it comes in.
So if we define Y as the number of minutes Carlos spends routing calls, and X as the number of calls that come in, the linear equation resulting will be:
Y = (2min)*X
By evaluating that linear equation in the correspondent value of X, we will get the time it took to connect those calls.
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Can someone help me on Rate of change
Answer:
slope is cost per hamburger, $3.00.total cost is $15.50.initial cost is ticket price, $3.50.Step-by-step explanation:
Given incorrect statements regarding cost relationships involving tickets and hamburgers at a basketball game, you want the corrected versions.
Each given relation involves two elements of the costs in the given situation. The incorrect relation can be resolved two ways: changing one of the elements, or changing the other one.
a. slope = total costThis can be corrected by identifying what the slope represents:
The slope represents Arlie's cost per hamburger.
Or, by saying what represents total cost.
The value of the cost function represents total cost.
b. total cost = $12This can be corrected by identifying the cost of 4 hamburgers:
If Arlie buys 4 hamburgers, his cost of hamburgers will be $12.
Or, by saying what the total cost is with 4 hamburgers:
If Arlie buys 4 hamburgers, his total cost is $15.50.
c. initial cost = price per burgerThis can be corrected by identifying Arlie's initial cost at the game:
Arlie's initial cost at the game is the price of the ticket.
Or, by saying the price per burger:
Arlie found that $3.00 at the game is the price per burger.
Which situations can be represented by an exponential function?
The sales at an auction website double each year.
In a stadium section, each row has 3 more seats than the previous row.
The value of a home increases by 7.5% per year.
Karen increases her running distance by 0.5 km per week.
The mathematical expression f(x)=exp or ex denotes the exponential function. A function is said to be an exponential function when the value of the function increases/decreases rapidly.
What is exponential function?The mathematical expression f(x)=exp or ex denotes the exponential function. The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to the complex numbers or adapted to other mathematical objects like matrices or Lie algebras.
When the input variable x appears as an exponent in the formula f(x) = ax, an exponential function is indicated. The exponential curve is influenced by both the exponential function and the value of x. x can be any real number in the case when a>0 and a=1 are true.
A function is said to be an exponential function when the value of the function increases/decreases rapidly.The situations that can be represented by an exponential function are:An event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance.A toad population is increasing by about 7.5% each year.The complete question is,
Which situations can be represented by an exponential function? select each correct answer. an event organizer finds each year's attendance for the past five years is about 45 of the previous year's attendance. on the highway, Kareem's car gets 38 mpg. shu fang has $25.75 deducted from her checking account every month. a toad population is increasing by about 7.5% each year?
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Solve for x.
5x +13
x = [?]
X+23.
Answer:
5/2
Step-by-step explanation:
how long will it take for them to get the same number of followershow many followers will they have
Answer:
Explanation:
Let's refer to 1st the handle as A and the 2nd handle
Question content area top
Part 1
Point B has coordinates (5,1). The x-coordinate of point A is −3. The distance between point A and point B is 10 units. What are the possible coordinates of point A?
The possible coordinates of the point A is (-3, -5) and (-3, 7)
How the coordinates of point A can be calculated?The given parameters are:
Point B = (5, 1)Distance between the two points, D = 10 unitsx-coordinate of point A = −3 i.e. A = (-3, y)The distance between any two points is calculated as
D = √[(x₁ - x₂)² + (y₁ - y₂)²]
Substitute the known values in the above equation
So, we have
10 = √[(-3 - 5)² + (y - 1)²]
Evaluate
100 = 64 + (y - 1)²
Evaluate the like terms
(y - 1)² = 36
Take the square roots
y - 1 = ±6
This gives
y = 1 ± 6
So, we have
y = -5 and 7
Hence, the value of point A are (-3, -5) and (-3, 7)
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20 POINTS IF U ANSWER ALL PLEASE
1.The two sides of the triangle that form the right angles. Are always the two shortest lengths given - Legs
2.The sides that's opposite the right angle. The length of this is always greater than the length of either leg.- Hypotenuse.
3. The triangle that contains a right angle(90°) - Right triangle.
4.In a right triangle the sum of the squares of the lengths of the legs equals the square of the lengths of the hypotenuse. - Pythagorean Theorem.
What is a right triangle?
If one of the triangle's angles is 90 degrees, the triangle is said to have right angles.The triangle with a right angle is known as a right triangle because a right angle is 90 degrees. Using the Pythagorean rule, it is simple to understand how the different sides of this triangle relate to one another. The greatest side of a right angle is known as the hypotenuse, and it is opposite the right angle.The right triangle's base, altitude, and hypotenuse are added to determine its perimeter.To learn more about right triangles, refer:
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Help guys giving brainlyest to the best answer
