Answer:
63 is the answer.
Step-by-step explanation:
9p=9xp, p=7, so 9x7=63. ;)
Circular area rugs are priced at $5 per foot based on the circumference of the carpet used. What is the cost of the largest circular area rug that will fit in Susie’s dining room? Round your answer to the nearest whole number. Do not include the dollar sign in your answer.
A rectangle has length 12 feet and width 7 feet.
Answer:
The area of the room is 34*21 = 714 ft^2
the cost of the carpet is $5 per square foot, so the cost to carpet the whole room will be
5*714 = $3570
Step-by-step explanation:
3570 is the cost of the largest circular area rug that will fit in Susie’s dining room.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that, Circular area rugs are priced at $5 per foot based on the circumference of the carpet used.
We need to find the cost of the largest circular area rug that will fit in Susie’s dining room.
The area of the room is 34×21 = 714 ft²
The cost of the largest circular area rug that will fit in Susie’s dining room
$5 per foot based on the circumference of the carpet
Multiply 5 with 714
5×714
3570
Hence, 3570 is the cost of the largest circular area rug that will fit in Susie’s dining room.
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Solve the problem.
The length of a rectangle is 8 inches more than its width. If 4 inches are taken from the length and
added to the width, the figure becomes a square with an area of 196 square inches. What are the
dimensions of the original figure?
Answer:
18 in. x 10 in.
Step-by-step explanation:
Squares will always have equal lengths. So, you need to figure out what will multiple by itself to get 196, and it’s 14.
Since you know in the equation that if 4 were to be taken away from the length and added to the width, it would make the 14 x 14 square, you can subtract 4 from one of the 14’s and add 4 to the other 14.
So, then you get (14-4) 10 in. x (14+4) 18 in.
PLEASE HELP SOLVE!!!
Answer:37 number
Step-by-step explanation:
a rocket is 1 mile above the earth One minute and 5 miles above earth in three minutes. what is the rocket rate of change in miles per minute
Answer:
1.6repeat miles per minute
Step-by-step explanation:
I'm not totally sure, but i just divided 5/3 and that's how I got the answer
PLEASE HELP! f(2)=3x^2+2x+4 find f(-2)
The value of f(-2) in the function f(x) = 3x² + 2x + 4 is 12.
How to solve function?A function is defined as a relation between a set of inputs having one output each. In a simpler term a function relates input and output.
In other words, a function relates each element of a set with exactly one element of another set (possibly the same set).
Therefore, let's solve the function below:
f(x) = 3x² + 2x + 4
Let's find f(-2) as follows;
To solve f(-2), we have to substitute the value of x in the function f(x) = 3x² + 2x + 4 with -2.
Therefore,
f(x) = 3x² + 2x + 4
f(-2) = 3(-2)² + 2(-2) + 4
f(-2) = 3(4) - 4 + 4
f(-2) = 12 - 4 + 4
f(-2) = 12
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The size of the first application is 10.8 megabytes (MB). The download is 60%complete. How much has been downloaded? (Answer for no.1- 6.48) 2. The size of the second application is 3.45 MB less than the first application. What is the size of the second application?
.
I feel like the answer is 3.03, but I don't think it's right
The amount of the first application that has been downloaded is 6.48 megabytes
The size of the second application is 7.35 megabytes
How to find the application sizes?The first application has a size of 10.8 megabytes and out of this 10.8 megabytes, only 60% has completely downloaded. The amount that has already downloaded is therefore:
= Size of application x Percentage downloaded
= 10. 8 x 60%
= 6.48 megabytes
The second application is sized such that it is 3.45 MB less than the first application. The size of the application is therefore:
= 10.8 - 3.45
= 7.35 megabytes
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The vertex of the function f(x) = 2x² + 12x + 19 is at the coordinate (x, y), where:
x =
y =
Answer:
x = -3
y = 1
Step-by-step explanation:
Desmos is free and it will graph for you. See picture.
I NEED HELP PLEASE HELP
Answer:
Step-by-step explanation:
Find the y-coordinate of the y-intercept of the polynomial function defined below.
f(x) = 2(5x² − 2)(x − 5) (4x² − 2)
Answer:
-40
Step-by-step explanation:
The y-intercept occurs when x is equal to 0. In order to find the y-coordinate, you would just plug in x with 0:
2(5x² − 2)(x − 5) (4x² − 2)
2(5[0]^2 - 2)(0 - 5)(4[0]^2 - 2)
2(-2)(-5)(-2)
-40
Identify the greatest common factor.
8y, -12x, 4xy
The greatest common factor, GCF, of 8y, -12x, and 4xy is 4
Determining the Greatest common factor (GCF) of expressionsFrom the question, we are to determine the greatest common factor of the given expressions.
The given expressions are 8y, -12x, and 4xy
To determine the greatest common factor, we will express each of the expressions as a product of their factors.
8y = 2 × 2 × 2 × y
-12x = 2 × 2 × 3 × -x
4xy = 2 × 2 × x × y
From above, we can observe that the greatest common factor is
2 × 2
= 4
Hence, the greatest common factor is 4
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What is the equation of this graph the line?
The equation of line in slope intercept form is y=−9/8x+7.
In the given question we have to write the equation of the graph line in slope intercept form.
The give points are(0,7) and (8,−2)
Let x(1)=0, y(1)=7, x(2)=8 and y(2)=−2.
The slope intercept form of equation is
y−y(1)=m(x−x(1))+c.........(1)
Before finding the equation we find the slope of equation.
Slope(m)={y(2)−y(1)}/{x(2)−x(1)}
Now putting the value
m=(−2−7)/(8−0)
m= −9/8
Now putting the value in equation 1
y−7=−9/8(x−0)
Now the equation is
y−7=−9/8x
Add 7 on both side
y−7+7=−9/8x+7
y=−9/8x+7
Hence, the equation of line in slope intercept form is y=−9/8x+7.
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ANSWER NOW TAKING A TEST PLS
What is the equation in point slope form of the line that passes through the point (2, 6) and has a slope of 5?
Responses
y−2=5(x−6)
y minus 2 equals 5 open parenthesis x minus 6 close parenthesis
y+2=5(x+6)
y plus 2 equals 5 open parenthesis x plus 6 close parenthesis
y+6=5(x+2)
y plus 6 equals 5 open parenthesis x plus 2 close parenthesis
y−6=5(x−2)
The equation of the line in point slope form that passes through the point (2, 6) and has a slope of 5 is y - 6 = 5(x - 2) .
How to find the equation of a line?The equation of a line can be represented in different form such as standard form, general form, point slope form and slope intercept form.
Therefore,
y - y₁ = m(x - x₁)
where
m = slopeThe line passes through (2, 6) and has a slope of 5.
Hence,
m = 5
The equation of the line in point slope form is as follows;
y - 6 = 5(x - 2)
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A list of numbers is given below. If x is a number
in this list, which inequality could represent x?
{-5,
-12,-2,-9}
A. x < -13
B. X<-1
C. x>-12
D. X<-2
Answer:
B
Step-by-step explanation:
Since -1 is greater the values given then x is less than -1
Indigo went shopping for a new pair of sneakers. Sales tax where she lives is 3.75%. The price of the pair of sneakers is $20. Find the total price including tax. Round to the nearest cent.
Step-by-step explanation:
price=$20tax rate=$3.75multiply the price with rate and you will get tax the add it to the real pricetotal price incl. tax= 20+(20*3.75/100)=20.75there is your answer...The total price of sneakers including tax will be equal to $20.75.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Price of sneakers = $20
Tax on sneakers = 3.75%
Then, the amount of tax will be,
(20 × 3.75)/100
= 75/100
= $0.75
Then, the total price of the sneakers will be,
$20 + $0.75
= $20.75
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Find the distance between the points (-5,4) and (1,0). Round to at least the nearest hundreth.
The distance between the points (-5,4) and (1,0) is 7.21 .
In the question ,
it is given that ,
the two points are (-5,4) and (1,0) ,
we have to find the distance between them .
we know that the distance between the points (x₁ , y₁) and (x₂ , y₂) is calculated using the distance formula
distance = √(y₂ - y₁)² + (x₂ - x₁)²
Substituting the values of the points , we get
distance = √(0 - 4)² + (1 -(-5))²
= √(-4)² + (1 + 5)²
= √16 + (6)²
= √16 + 36
= √52
= 7.21111
≈ 7.21
Therefore , The distance between the points (-5,4) and (1,0) is 7.21 .
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5. The corresponding sides of the similar shapes have same
- In the figure given below, what is the value of x? (RED)
2 cm
3 cm
3 cm
2 cm
4 cm
x cm
(GR
4 cm
Using easy mathematical operations, we know that the value of x in the given rectangle is 6 cm.
What exactly are mathematical operations?An operation, in mathematics, is a mathematical function that transforms zero or more input values into a precisely defined output value.
The arity of the operation is influenced by the number of operands.
PEMDAS, parenthesis, exponents, multiplication, and division.
So, the value of x will be:
The given two rectangles have similar sides.
2cm is similar to 4cm.
3cm is similar to xcm.
Now, we can calculate x as follows:
2/4 = 3/x
2x = 4×3
2x = 12
x = 12/x
x = 6
Therefore, using easy mathematical operations, we know that the value of x in the given rectangle is 6 cm.
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An oil refinery is located 1 km north of the north bank of a straight river that is 3 km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 5 km east of the refinery. The cost of laying pipe is $300,000/km over land to a point P on the north bank and $600,000/km under the river to the tanks. To minimize the cost of the pipeline, how far downriver from the refinery (in km) should the point P be located? (Round your answer to two decimal places.)
Answer:
3.36 km
Step-by-step explanation:
You want the distance P east of a refinery so that the cost of laying pipe from the refinery 1 km north of a river and under a 3 km wide river to storage on the south bank is minimized. The cost of under-river pipe is double the cost of overland pipe.
SetupLet p represent the distance east of the refinery where the river crossing starts. Then the distance in km from the refinery to the river crossing is ...
d1 = √(1² +p²)
The storage facility is 5 km east of the refinery, so is (5-p) km east of the north-bank point where the river crossing starts. The length of the pipe under the 3 km-wide river is ...
d2 = √(3² +(5-p)²) = √(p² -10p +34)
The cost is the sum of costs of laying pipe for each segment. The cost for each unit of distance is double for the under-river pipe, so the total cost can be described by ...
c ∝ d1 + 2×d2
c ∝ √(1² +p²) +2√(p² -10p +34)
SolutionThe cost is minimize for the value of p that makes dc/dp = 0. The implicit derivative is ...
c' = p/√(p² +1) +(2p -10)/√(p² -10p +34) = 0
Subtracting the second term and squaring gives ...
p²/(p² +1) = (4p² -40p +100)/(p² -10p +34)
Cross-multiplying gives the 4th-degee equation ...
p⁴ -10p³ +34p² = 4p⁴ -40p³ +104p² -40p +100
In standard form, this is ...
3p⁴ -30p³ +70p² -40p +100 = 0
The only positive real solution in the domain (0, 5) is p ≈ 3.362.
P should be located about 3.36 km downriver from the refinery.
__
Additional comment
This problem does not ask for the cost, so we only need to know the relative cost of two routes.
The solution of the quartic equation is found using a graphing calculator in the first attachment.
The same graphing calculator can find the minimum of 'c' without bothering with differentiation and reducing the equation to a polynomial. This is shown in the second attachment. Note that graph also shows the cost in units of $300,000. That is, the cost of the pipeline will be about $3.1 million.
Consider the following y-intercept and slope:
(0,−3), m=12
Step 2 of 2 : Determine the graph of the line with the given y-intercept and slope.
The equation of the line will be y = 12x -3 and the graph of the line with the given y-intercept and slope is shown below.
First, let us understand the slope intercept form of a line:
The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept.
We are given:
(0, −3), m = 12.
We need to determine the graph of the line with the given y-intercept and slope.
To find the value of b;
substitute the given values in the equation of the line, we will get;
y = mx + b
-3 = 12 *0 + b
b = -3
So, the equation of the line will be:
y = 12x -3
Thus, the equation of the line will be y = 12x -3 and the graph of the line with the given y-intercept and slope is shown below.
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h(1) = -17
h(n) = h(n
1) - 0.2
Find an explicit formula for h(n).
h(n)
h(n) = -17·0.2^(n-1)
Step-by-step explanation:
The explicit formula for a geometric sequence with first term a1 and common ratio r is ...
an = a1·r^(n-1)
Your sequence h has first term a1 = -17 and common ratio r = 0.2. Then the explicit formula is ...
h(n) = -17·0.2^(n-1)
write 804 billion in ordinary decimal notation and in scientific notation
Answer:804,000,000,000 & 8.0e+11
Step-by-step explanation:
logic
At a sale this week, a desk is being sold for $108.80 This is a 66% discount from the original price.
What is the original price?
Answer:
[tex]\$320.29[/tex]
Step-by-step explanation:
Determine the formula:
[tex]x - (x \times 0.66) = 108.90[/tex]
Solve for x to get the original price:
[tex]x - (x \times 0.66) = 108.90\\x - 0.66x = 108.90\\x(1-0.66) = 108.90\\x = \frac{108.90}{1-0.66}\\x = \frac{108.90}{0.34}\\x \approx 320.29[/tex]
PLEASE HELP QUICKLY
The interior angles of a triangle add to be ______ degrees.
The value of angle x = ____ degrees
The value of angle y = ____ degrees
Answer:
whole triangle 180 degrees
y = 84 degrees
x = 36 degrees
Step-by-step explanation:
y = 180 - 96
x = y - 48. Reason: Exterior angle theorem
Substitute: x = 84 - 48
Answer:
180
36
84
Step-by-step explanation:
→ Find x
180 - (96 + 48) = 36
→ Find y
180 - 96 = 84
What is the value of N?
The value of n in the line segment is - 9 / 4.
How to find the length of a line segment?The length of a line segment can be found as follows:
Two point of the line segment are 2n + 9 / 2 and 9 / 2. The distance of the line segment is 9 / 2.
Therefore, let's find n as follows:
9 / 2 - (2n + 9 / 2) = 9 / 2
9 / 2 - 2n - 9 / 2 = 9 / 2
9 / 2 - 9 / 2 - 2n = 9 / 2
- 2n = 9 / 2
cross multiply
-2n × 2 = 9
- 4n = 9
divide both sides by -4
n = 9 / -4
n = - 9 / 4
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Graph the line by plotting any two ordered pairs that satisfy the equation.
y=43x−6
Evaluate the function at the given values.
K(x) =−x+2
K(1) =
K(-2) =
K(0) =
The perimeter of a field is 840 m. If
the length is 25 metres longer than the
width, calculate the length.
Hargray Telephone earned 155.27 interest on a $20,000 deposit in an account paying 6%.
Find the number of days that the funds were on deposit.
46 Days the number of days that the funds were on deposit on Interest rate.
What exactly does "interest rate" mean?
An interest rate informs you of how much borrowing will cost you and how much saving will pay off. Therefore, the interest rate is the amount you pay for borrowing money and is expressed as a percentage of the total loan amount if you are a borrower.Interest earned = Principal*Interest rate*Time period
155.27 = 20,000 * 0.06 * Time period
Time period = 155.27/(20,000*0.06)
= 0.129339 years
=(0.129339 * 360)
= 46.56204 days
= 46 days(Approx)
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If the area of a rectangular sign is approximately 4218 sq ft, and the width is approximately 57 ft, what is the height of this sign?
Becky and lewis´s hamster cages have the same perimeter. Lewis´s cage has a length of 0.75 times becky´s cage. what is the width, w, of Lewis´s cage? Write your answer as a mixed number in simplest form
The width of Lewis´s rectangular cage as a mixed number in simplest form is equal to 14.86 inches.
How to calculate the perimeter of a rectangle?Mathematically, the perimeter of a rectangle can be calculated by using this formula;
P = 2(L + W)
Where:
P represents the perimeter of a rectangle.L represents the length of a rectangle.W represents the width of a rectangle.For the perimeter of Becky's rectangular cage, we have:
Perimeter, P = 2(L + W)
Perimeter, P = 2(15 + 11)
Perimeter, P = 2(26)
Perimeter, P = 52 inches.
For the perimeter of Lewis's rectangular cage, we have:
Length, L = 0.75W
Perimeter, P = 2(L + W)
52 = 2(0.75W + W)
26 = (0.75W + W)
1.75W = 26
Width, W = 26/1.75
Width, W = 14.86 inches.
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what are the factors of -120
Answer:
-1 x 120
-2 x 60
-3 x 40
-4 x 30
-5 x 24
-6 x 20
-8 x 15
-10 x 12
1 x -120
2 x -60
3 x -40
4 x -30
5 x -24
6 x -20
8 x -15
10 x -12
Answer:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and 120.
Step-by-step explanation: