The perimeter of the walkway in terms of y will be y = 50 + 8x. The slope will be 8.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
Given that the length and width of a rectangular garden are 15 meters and 10 meters, respectively. A walkway of width x surrounds the garden.
The perimeter will be calculated as:-
Perimeter = 2 ( W + L )
Perimeter = 2 [ ( 15 + 2x ) + ( 10 + 2x ) ]
Perimeter = 2 ( 10 + 2x + 15 + 2x )
Perimeter = 2 ( 25 + 4x )
y = 50 + 8x
Compare the equation with the general form of the equation:-
y = 50 + 8x
y = mx + c
Slope = 8
Therefore, the perimeter of the walkway in terms of y will be y = 50 + 8x. The slope will be 8.
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Can someone please help me with this it’s pre-Calc
So the x of the vertex is -b/2a which is -6/-2 which is 3. -2*9+6*3+12 is 18+18+12 so the vertex is (3, 48). The vertical intercept is 12.
324÷ 5 use long division to determine each quotient. Write your answer as decimal
Answer:
64.8
Step-by-step explanation:
64.8
5/ 324.0
-30
24
-20
40
-40
0
What are the coordinates of the original point, G?
The answer is (-4,3)
The reason is because you move -4 steps to the left. and 3 steps upward to get to G.
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if z=10, find the value of z raised to 3-3(z-10)
The value of the expression when z = 10 is 1000
How to evaluate the expression?The given parameters are
z = 10
z^3 - 3(z-10)
Substitute z = 10 in z^3 - 3(z-10)
So, we have
10^3 - 3(10-10)
Evaluate the expression
10^3 - 3(10-10) = 1000
hence, the value of the expression when z = 10 is 1000
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true or false?????????????????
The equation: 1/2 + 1/6 = 2/3
Is true.
Is the equation true or false?Here we have the equation:
1/2 + 1/6 = 2/3
First, we need to find a common denominator for the two fractions, if we multiply and divide the first one by 3 we get:
(3/3)*(1/2) = 3/6
Replacing that in the equation:
3/6 + 1/6 = 2/3
4/6 = 2/3
Now we can simplify the fraction in the left by dividing both numerator and denominator by 2:
4/6 = 2/3
2/3 = 2/3
Thus, the equation is true.
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Given b = −14.
Which equation is true?
b/2 + 7.4 = 1.4
2b + 8 = 20
-28 +2b =53
b/7 + 18 =16
Answer:
D) b/7 + 18 =16
Step-by-step explanation:
Let's solve your equation step-by-step.
b/7+18=16
Step 1: Simplify both sides of the equation.
1/7b+18=16
Step 2: Subtract 18 from both sides.
1/7b+18−18=16−18
1/7b=−2
Step 3: Multiply both sides by 7.
7*(1/7b)=(7)*(−2)
b=−14
 Help please with my math
Write the sentence as an inequality. 7/8 is at most the difference of twice a number m and 5/4 .
The inequality stated may be expressed as 2m - 5/4 ≤ 7/8.
What exactly is inequality?There are four sorts of inequality.
A < B means that A is less than B.
A > B means a is greater than B.
A ≥ B, a is bigger than or equal b.
A ≤ B, a is less than or equal.
In light of the posed query
The maximum difference between two numbers, m and 5/4, is equivalent to an inequality of the form 2m - 5/4 < 7/8.
The difference between two numbers, "m," and 5/4 is 2m - 5/4, which can only represent "less than" or "equal to."
∴ The formula for the given statement is 2m - 5/4 < 7/8.
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2. What does it mean if P(-4) for the polynomial function P(x) = x3 + 11x²
+34x + 24 equals zero?
Answer:
It means that the -4 is one of the solutions for this polynomial. In other words, -4 is a point in the x axis of the graph where the function touches said axis.
The value of the polynomial at P(-4) will be 0.
What is a polynomial?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
Given that the polynomial function is P(x) = x³ + 11x² + 34x + 24. The value of the function at P(-4) will be calculated as:-
P(x) = x³ + 11x² + 34x + 24
P(-4) = (-4)³ + 11(-4)² + 34(-4) + 24
P(-4) = -64 + 176 - 136 + 24
P(-4) = 200 - 200
P(-4) = 0
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Which single power is equivalent to the expression (4³)²
----
4²
The single power that is equivalent (4³)² to is 4^6.
What is power?This is a term in mathematics to refer to the exponents. The given expression is four to the power of three all to the power of two. Exponents helps to represent equations and makes it easier to remember and handle.
Given data
(4³)²
How to solve (4³)²This could be solved using the laws of indices
(4³)² = 4³ * 4²
4³ * 4² = 4³ *² = 4^6
Hence we can say that the single power that is equivalent (4³)² to is 4^6.
base = 4
power = 6
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DETERMINE WHETHER THE LINES ARE PARALLEL, PERPENDICULAR, OR NEITHER
5X+2y=14 AND y=-5x+9
The lines are neither, nor perpendicular
How to determine the relationship?The equations of the lines are given as
5x + 2y = 14
y = -5x + 9
Make y the subject in both equations
So, we have
y = -2.5x + 7
y = -5x + 9
The slopes of the above equations are
m1 = -2.5
m2 = -5
The above slopes are neither equal not opposite reciprocals
Hence, the lines are neither, nor perpendicular
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Help me quickly plss I’m on a time limit!
The required intersection would be at the point (55, 460) in the given graph which shows a round of golf is 55 and a total cost is $460.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
We have been given that the graph represents the following situation.
Golfers must first pay a $75 membership fee and an additional $7 for each round of golf in order to play at Gulf Shores Range.
Golfers at the Royal Estates Country Club pay $5 for each game of golf, but membership costs $185.
Since the x-axis represents a round of golf and the y-axis represents a total cost.
According to the graph,
Here is a round of golf = 55 and a total cost = $460
So the intersection represents this situation at the point (55, 460).
Therefore, the required intersection would be at the point (55, 460) in the given graph.
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together, two apples have 1/5 gram of fat. haw many apples have a total of 4 grams of fat?
I need help, please I been doing this all day!!
ST=3x+3 and TU=2x+9
what is the value of ST?
The value of ST is 21
How to determine the valueNote that line S, U and T are points in a line segment
From the information given, we have that;
ST = TU
Where;
ST = 3x + 3TU = 2x + 9Substitute the values into the equation
3x + 3 = 2x + 9
collect like terms
3x - 2x = 9 - 3
Subtract like terms
x = 6
But we have that ST = 3x + 3 = 3(6) + 3 = 18 + 3 = 21
Thus, the value of ST is 21
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What is the overall average number of hours per month of social media use for the countries listed? How does this average compare to your own social media use?
Internet users worldwide spent an average of 147 minutes per day on social media as of 2022, up from 145 minutes the year before.
Currently, the Philippines is the nation where people spend the most time on social media each day, with an average of three hours and 53 minutes each day. In contrast, Americans only spent two hours, and three minutes every day on social media.
The collection, description, analysis, and drawing of conclusions from numerical data are all tasks that fall under the purview of statistics, a subfield of applied mathematics. Calculus, specifically differential and integral calculus, as well as linear algebra and probability theory, are key components of the mathematical ideas that underpin statistics.
Hence, People typically use social media for 147 minutes every day, or two hours and 27 minutes.
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Bob built a large wooden storage box. The box was in the shape of a rectangular prism, as shown below. He covered all the sides of the box with special wallpaper that cost a total of $504. How much did the wallpaper cost per square foot?
The total cost of wallpaper is $4 per square foot as calculated from the surface area of the rectangular prism.
The total surface area is the total area of all the surfaces of an object. The surface area is calculated by the area of the surface in the form of the 2 dimensional representation.
Here the box is in the form of an rectangular prism , which means that the box is in the form of a cuboid.
From the figure we can see that the dimensions of the box are :
length = 6 feet
width = 5 feet
height = 3 feet
We know that the total surface area of a rectangular prism is given by:
2×(length × width + width ×height + height × length)
or, 2 × (6×5 + 5×3 + 3×6)
or, 126 ft²
Now the total cost for wallpaper is $504 .
Now to calculate the cost per square feet we will divide the total money by the total surface area.
∴Cost of the wallpaper per square foot=$(504÷ 126) per ft² = $4 per ft²
Hence the cost of the wallpaper is $ 4 per ft² .
Disclaimer: The figure of the prism is attached below.
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Write an equation of the line passing through the points (3,10) and (-2,-20)
Answer: y=6x−8
Step-by-step explanation:
what is 2,722 rounded to the nearest thousand
The 2,722 to the nearest thousand is 3000.
In the given statement is :
What is 2,722 rounded to the nearest thousand
Number is => 2722
Number at thousand place is = 2Now, we need to find the digit at the right side of thousand place = 77 is greater then or equal to 5, now we have to increase the thousand place digit by 1. => 2 + 1 = 3Now after rounding digit 3, all numbers at the right side becomes zero, then rewrite the numbers.Hence, the 2,722 to the nearest thousand is 3000.
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find(-18)+(-15)+10 ..........
Answer:
-23
Step-by-step explanation:
Just add left to right
At a baseball game, a $5.76 hot dog meal is worth $2.50 more than a tray
of nachos with cheese. How much does the tray of nachos cost?
f(n) = -3(n - 1); -51
Answer: n=18
Step-by-step explanation:
f(n) = -3(n - 1); -51
-51=-3(n - 1)
-51/(-3)=-3(n - 1)/(-3)
n-1=17
n+1-1=17+1
n=17+1
n=18
Given g (x) =3^2+2x-4, find g(1.5)
Answer:
8
Step-by-step explanation:
[tex]g(x)=3^2+2x-4=5+2x \\ \\ g(1.5)=5+2(1.5)=8[/tex]
Please I need help with this my teachers video wont work and I need this to be submitted by today.
From the given stem-and-leaf plot, we have that:
a) The maximum number of cups of coffee sold on a single day is of 78.
b) In 5 days, less than 60 cups were sold.
c) The average sales is of 65 cups of coffee a day.
What is the missing information?The questions are missing, and they are given by the image at the end of the answer.
What is a stem-and-leaf plot?The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:
4|5 = 45.
Considering the key in this problem, the measures(number of cups of coffee sold each day) are given as follows:
50, 52, 58, 59, 60, 63, 63, 65, 69, 69, 72, 75, 77, 78.
Hence:
a) The maximum number of cups of coffee sold on a single day is of 78.
b) In 5 days, less than 60 cups were sold.
The average of a data-set is given by the sum of all observations in the data-set divided by the number of observations, hence:
M = (50 + 52 + 58 + 59 + 60 + 63 + 63 + 65 + 69 + 69 + 72 + 75 + 77 + 78)/14 = 65.
The average sales is of 65 cups of coffee a day.
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Find the smallest number by which 6300 must be multiplied to make it a perfect
square.
To get a perfect square, the smallest number to be multiplied by 6300 is 7.
Multiplication is the process of calculating the result when a number is taken times. Each of the numbers is referred to as a factor of the product, which is the outcome of a multiplication.
Consider the number 6300 which can also be written as:
6300 = 2 × 2 × 3 × 3 × 5 × 5 × 7
Now, 2, 3, and 5 are in pairs. Only 7 is not in pair.
Now, we will multiply 6300 by 7.
Then,
6300 × 7 = 44100
Therefore, the number 44100 is the number that makes the perfect square.
Let's say x² = 44100,
Taking square root on each side of the equation:
x² = 44100
√x² = √44100
x = √[ 21 × 21 × 10 × 10 ]
x = 210
Therefore the smallest number by which 6300 is multiplied to get a perfect square is 7.
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Rounding Decimals (pt 2)
questions
1) 10.044 (2 decimal place)
2) 5.903 (1 decimal place)
Anyone know the answer
The length of the interval AB is 7.21 units.
Given,
From the graph we can have the triangle ABC.
Length of side AC = 6 - 2 = 4 units
Length of side BC = 7 - 1 = 6 units
We have to find the length of AB.
By using Pythagorean theorem we can determine the length of AB.
Hypotenuse² = Altitude² + Base²
AB² = AC² + BC²
AB² = 4² + 6²
AB² = 16 + 36
AB² = 52
AB = [tex]\sqrt{52}[/tex] = 7.21
That is, the length of the interval AB is 7.21 units.
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Need help with median question here
Answer:
36.5 is median Temperature for girls
Step-by-step explanation:
Let's first calculate the median Temperature for boys to show you how it is done;
Below are the Temperature, they are not in ascending order
37.0,36.1,37.1,37.3,36.3,36.4,36.7,36.7,36.7,35.8
Now let's arrange them in ascending order
35.8, 36.1, 36.3, 36.4, (36.7, 36.7, )36.7, 37.0, 37.1, 37.3
In the middle are 36.7 and 36.7 as seen in the bracket
to find median = 36.7+36.7/2
➟ 73.4/2
➟ 36.7
∴36.7 is median Temperature for boys
Now that I've shown you example with boys temperature let's go find the actual temperature which is girls
Below are temperature for girls
34.7,35.8,35.9,36.2,36.4,36.6,36.6,36.8,36.8,36.9
Let's arrange them in ascending order
34.7, 35.8, 35.9, 36.2,( 36.4, 36.6, )36.6, 36.8, 36.8, 36.9
In the middle are 36.4 and 36.6 as seen in the bracket
to find median = 36.4+36.6/2
➟ 73/2
➟ 36.5
∴36.5 is median Temperature for girls
5 3/8 as a whole number
Answer:
Exact Form: 43/8
Decimal Form: 5.375
Rounding to the Nearest whole number: 5
Paint costs 29.95 per gallon raheim needs 13.25 gallons to complete a painting project how much will Raheim spend on paint
Answer:
$396.84
Step-by-step explanation:
To solve for this question, we can use the formula:
Cost of Paint per Gallon × Amount of Paint needed in Gallons
Cost = $29.95 per gallon x 13.25 gallon
= $396.84 (Rounded off to 2 decimal places)
Answer:
$396.84
Step-by-step explanation:
We can set up this equation
29.95*13.25
Multiply
396.8375
Round
$396.84
