Answer:
Step-by-step explanation:
D
Diagram 4, PQRSTU is a regular hexagon. TSV is a straight line. Calculate the value of x+y
Answer:
Here is the answer. I dont kniw if it is correct.
A bucket contains 72 red, 48 blue, 48 green, and 48 yellow crayons. The art teacher also has 120 pieces of drawing paper. What is the largest number of identical kits the art teacher can make with all of the crayons and all of the paper?
The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.
To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.
The GCD represents the largest number that can divide all the quantities without leaving a remainder.
The GCD of the quantities of crayons can be found by considering the prime factorization:
72 = 2³ × 3²
48 = 2⁴ × 3
48 = 2⁴ × 3
48 = 2⁴ × 3
The GCD of the crayons is 2³ × 3 , which is 24.
Now, we need to find the GCD of the quantity of drawing paper:
120 = 2³ × 3 × 5
The GCD of the drawing paper is also 2³ × 3 , which is 24.
Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.
Each kit would contain an equal distribution of crayons and drawing paper.
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Find the sum. 637,391 + 372,088 *
Answer:
1,009,479
Step-by-step explanation:
dude there 8a some thing called as a CALCULATOR
Jon drew and shaded two models on graph paper to represent numbers.
Model 1
Model 2
Which term describes both of the modeled numbers?
O whole numbers
O rational numbers
O irrational numbers
integers
Answer:
O rational numbers
Step-by-step explanation:
i need help what is the area of this composite figure
Answer:
Lol
Step-by-step explanation:
Answer:
104 ft^2
Step-by-step explanation:
Jill worked five hours less than three times the number of hours that Karen worked. Which of the following equations represents the relationship between j, the number of hours that Jill worked and k, the number of hours that Karen worked?
Answer:
k x j5=x
Step-by-step explanation:
The ratio of Victoria's weight was 4:5. If Victoria's weight increased by 5 lb. and Kazuki's weight decreased by 1lb., Victoria would have the same weight as Kazuki. What was Victoria's original weight?
Answer:
24 lb
Step-by-step explanation:
The given relations can be used to write a system of equations for the two weights.
SetupLet v and k represent Victoria's and Kazuki's original weights. The original ratio is ...
v/k = 4/5
After the change, the weights are equal:
v +5 = k -1
SolutionAdding 1 to the second equation, we have ...
v +6 = k
Substituting for k in the first equation gives ...
v/(v+6) = 4/5
5v = 4v +24 . . . . . multiply by 5(v+6)
v = 24 . . . . . . . . . subtract 4v
Victoria's original weight was 24 pounds.
__
Additional comment
Kazuki's original weight was 30 lb. After the changes in weight, both weighed 29 lb.
Perform the indicated operation. 5/11 + 9/11 i will delete ur question if u only did it for points and u will lose ur points.
Answer:
it should be 1.2 i did the math and thats the closes i got
Step-by-step explanation:
HELP PLS!
Delta math
the area of a rectangle is x²-3x-10. what is the length of the rectangle if the with is x +2.?plsss asap
Answer:
x - 5
Step-by-step explanation:
x^2 - 3x - 10
= (x + 2)(x - 5)
Sine the width is (x + 2), the length is (x - 5).
Hope this helped!
To prepare a pesticide spray, 2.5 lb of BIOsid is added to 27 gal of water. How much BIOsid should be added to a spray tank holding 340 gal?
enter your response here lb of BIOsid should be added to a spray tank holding ___ gal.
(Round to the nearest tenth as needed.)
The amount of BIOs id should be added to a spray tank holding 340 gals is 31.48 lb
What is proportion?Proportion, is referred to as a part, share, or number considered in comparative relation to a whole.
Given that, a pesticide spray, 2.5 lb of BIOs id is added to 27 gals of water. We need to find how much BIOs id should be added to a spray tank holding 340 gals
This question will be solved by using the concept of proportion,
Let the amount of BIOs id should be added to a spray tank holding 340 gals be x,
Therefore,
2.5 / 27 = x / 340
x = 31.48
Hence, the amount of BIOs id should be added to a spray tank holding 340 gals is 31.48 lb
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A car is traveling at a rate of 30 meters per second. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 5 hours? Do not
round your answers.
The speed of the car is 108 kilometers per hour and the distance covered in 5 hours is 540 kilometers.
What is the speed of the car in kilometers per hour and distance covered after 5 hours?Speed is simply referred to as distance traveled per unit time.
It is expressed as;
Speed = Distance ÷ time.
Given that the car is traveling at a rate of 30 meters per second.
First, convert the car's speed from meters per second to kilometers per hour using the conversion factor.
1 kilometer = 1000 meters
1 hour = 3600 seconds
Hence;
Speed = 30m/s = ( 30 × 3600/1000 )kmh
Speed = 108 kmh
Next, the distance covered in 5 hours will be:
Speed = Distance / time
Distance = speed × time
Distance = 108 kmh × 5 h
Distance = 540 km
Therefore, the disatnce covered is 540 kilometers.
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11. 1. What value of x makes the equation 3x - 6 = 9 true?
Answer:
5
Step-by-step explanation:
6+9=15
15/3=5
Graph the exponential function.
f(x)= -(5/2)^x
Answer:
see below
Step-by-step explanation:
Your spreadsheet or graphing calculator can do this for you.
__
If you want to do it by hand, pick a few values for x, compute the corresponding values of f(x), plot those points, and draw a smooth curve through them. You know the horizontal asymptote is y=0, and the whole graph is in the 3rd and 4th quadrants, since the exponential function has been reflected over the x-axis by the leading minus sign.
Which of the following are solutions to the quadratic equation below?
Check all that apply.
x²+7x-8=0
A. -1
B. 2
C. -4
D. -8
E. 1
Therefore, the solutions to the quadratic equation x² + 7x - 8 = 0 are -8 and 1. The answers are D and E.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It typically consists of variables, constants, and mathematical operations. Equations can be solved by manipulating the expressions to find the value of the variables that satisfy the equation. Equations can be used to model real-world situations, and they are an important tool in many fields, including mathematics, physics, engineering, and economics.
Here,
To check which values are solutions to the quadratic equation, we can substitute each value into the equation and see if it equals zero.
Substituting -1 into the equation:
(-1)² + 7(-1) - 8 = 1 - 7 - 8 = -14, which is not equal to zero.
Substituting 2 into the equation:
2² + 7(2) - 8 = 4 + 14 - 8 = 10, which is not equal to zero.
Substituting -4 into the equation:
(-4)² + 7(-4) - 8 = 16 - 28 - 8 = -20, which is not equal to zero.
Substituting -8 into the equation:
(-8)² + 7(-8) - 8 = 64 - 56 - 8 = 0, which is equal to zero. Therefore, -8 is a solution to the equation.
Substituting 1 into the equation:
1² + 7(1) - 8 = 1 + 7 - 8 = 0, which is equal to zero. Therefore, 1 is a solution to the equation.
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Today, Victor practice piano for 4/9 hour in the m
and 3 hour in the afternoon. How many hours did
Victor practice piano today?
Answer:
3 4/9 hours
Step-by-step explanation:
3 + 4/9= 3 4/9
65.3 divide by 20= what's the quotient
Answer: 3.265
Step-by-step explanation:
Using the MACRS rates from the following table,
what is the book value of a $3,500 computer after 2
years?
Year MACRS Rate
1
20.0 %
2 32.0 %
3 19.2 %
4 11.52 %
5 11.52 %
book value = [?]
The book value of a $3,500 computer after 2 years is $2380
How to calculate book value
The book value is gotten by subtracting the product of the initial value and MACRS rate from the initial value.
The book value after 2 years = 3500 - (32% of 3500)
The book value after 2 years = 3500 - (0.32 * 3500) = 2380
The book value of a $3,500 computer after 2 years is $2380
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Find the total surface area of this cuboid.
5 cm
4 cm
6 cm
The total surface area of the cuboid is 148 cm².
What is the total surface area of the cuboid?
Surface area is the total area on the surface of a three-dimensional shape. To find the surface area of a cuboid that has 6 rectangular faces, add the areas of all 6 faces. Or, you can label the length (l), width (w), and height (h) of the cuboid and use the formula: surface area (SA)=2lw+2lh+2hw.
The total surface area of a cuboid is the sum of the areas of its six faces.
In this case, the cuboid has dimensions of 5 cm, 4 cm, and 6 cm.
The area of the top and bottom faces (which are identical) is:
5 cm x 6 cm = 30 cm²
The area of the front and back faces (which are identical) is:
4 cm x 6 cm = 24 cm²
The area of the left and right faces (which are identical) is:
4 cm x 5 cm = 20 cm²
Therefore, the total surface area of the cuboid is:
30 cm² + 30 cm² + 24 cm² + 24 cm² + 20 cm² + 20 cm² = 148 cm²
Therefore, the total surface area of the cuboid is 148 cm².
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Tell whether the sequence is arithmetic. If it is what is the common
difference? Explain. (2 points)
{1, 5, 9, 13, ...).
Answer:
Sequence is arithmetic
Common difference = 4
Step-by-step explanation:
All arithmetic sequences have a common difference, so if you can determine a common difference in a given sequence, then the sequence is likely to be arithmetic. To find the common difference, subtract a value from its preceding value, and repeat this step to ensure the difference between all values is the same:
5 - 1 = 9 - 5 = 13 - 9
4 = 4 = 4
The common difference = 4, and because there is a common difference, this sequence is arithmetic.
A rectangular prism with a square base has a height of 17.2cm and a volume of 24.768cm². What is the length of its base?
The cross-section of this prism is a square with side length 4 m. What is the surface area of the prism?
(photo attached below.)
The final answer for the surface area of the prism is 32 m^2 + 16h m^2.
To find the surface area of the prism, we need to calculate the area of each face and sum them up.
The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:
Area of square face = side length^2 = 4^2 = 16 m^2
Since there are two square faces, the total area of the square faces is:
Total area of square faces = \(2 * 16 = 32 m^2\)
The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:
Area of rectangular face = length * width = \(4 * h = 4h m^2\)
Since there are four rectangular faces, the total area of the rectangular faces is:
Total area of rectangular faces = \(4 * 4h = 16h m^2\)
Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:
Surface area of prism = Total area of square faces + Total area of rectangular faces
= \(32 m^2 + 16h m^2\)
= \(32 m^2 + 16h m^2\)
The answer for the surface area of the prism is 32 m^2 + 16h m^2.
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What is the end behavior of the graph of the polynomial function f(x) = –x5 + 9x4 – 18x3?
The end behavior of the graph of the polynomial function:
As x approaches ∞, y approaches -∞
As x approaches -∞, y approaches ∞
What is an end behavior?
The behavior of the function graph at the "ends" of the x-axis is known as the end behavior of a function, or f.
Here, we have
f(x) = –x⁵ + 9x⁴ – 18x³
F(x) is a fifth-degree (odd function ) with a negative leading coefficient
If the exponent is odd and the leading coefficient is negative then the end behavior is
As x approaches ∞, y approaches -∞
As you go on the right, f(x) goes down
As x approaches -∞, y approaches ∞
As you go on the left, f(x) goes up.
Hence, the end behavior of the graph of the polynomial function: As x approaches ∞, y approaches -∞
As x approaches -∞, y approaches ∞
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What does a keeper do
Answer:
A keeper is someone who is responsible for something, especially a property or a lot of animals. A keeper might take care of a big summer house during the winter months. You can use keeper to mean "caretaker", someone whose job involves maintaining a house, farm, estate, or grounds.
Hope it helps :)
Jessica needs to know how much water her new fish tank can hold:
A rectangular prism with a length of 8 inches, a width of 4 inches, and a height of 9 inches.
Determine the total volume of the fish tank.
The fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.
The volume of a rectangular prism can be calculated using the formula:
V = l x b x h..........(i)
where,
V ⇒ Volume
l ⇒ length
b ⇒ width
h ⇒ height
From the question, we are given the values,
l = 8 inches
b = 4 inches
h = 9 inches
Putting these values in equation (i), we get,
V = 8 x 4 x 9
⇒ V = 288 in³
Therefore, the fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.
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need help with problem.
Answer:
Since he hasn't read 70% of the book which is 35 pages, we need to know that 70% of what number is 35.
This is called a is over of, percent over 100 proportion.
If we place 70 over 100 and set that equal 35 over x we can cross multiply and divide to find the answer.
35 times 100 = 3,500
3,500 ÷ 70 = 50
Step-by-step explanation:
What should be added to -7 mm + 2m ²+ 3n² to obtain 5m² +2mn-9n².
The expression to be added is 9mn +3m² - 12n²
What are algebraic expressions?These are expressions having terms, variables, coefficients, factors and constants.
They are also known to be composed of arithmetic operations, such as;
AdditionMultiplicationDivisionSubstraction BracketParenthesesFrom the information given, we have the expression;
-7 mm + 2m ²+ 3n²
To make it up to 5m² +2mn-9n²., we have
-7mn + 9mn + 2m² + 3m² + 3n² - 12n²
Hence, the expression is 9mn +3m² - 12n²
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Complete the end behavior statement for the function shown above. Asx→−∞, f(x)→
Given
The function
\(f(x)=\frac{12x^5}{3x^5}\)To find the end behavior of the function.
Explanation:
It is given that,
\(f(x)=\frac{12x^5}{3x^5}\)That implies,
\(\begin{gathered} \lim_{x\to-\infty}f(x)=\lim_{x\to-\infty}(\frac{12x^5}{3x^5}) \\ =\lim_{x\to-\infty}(\frac{12}{3}) \\ =\lim_{x\to-\infty}(4) \\ =4 \end{gathered}\)Hence,
\(As\text{ }x\rightarrow-\infty,f(x)\rightarrow4\)Find two positive numbers whose sum is 110 and whose product is a maximum.
The two positive numbers are 55, and 55.
Given that,
Two positive numbers whose product is a maximum and whose sum is 110.
To Find : Two positive real numbers with a maximum product whose sum is 110.
x + y = 110
x = 110-y
Area = xy = (110-y)y
A = 110y-y^2
Maximum A occurs when y = -b/(2a) = -110/(2*-1) = 55
x + y = 110
x + 55 = 110
x = 55
and y is also 55.
Therefore, the two positive numbers are 55, and 55.
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The radius of a circle is 12 miles. What is the length of an arc that subtends an angle of
4
5
radians?
Using the length formula we know that the length of the given arc is 30.144 miles.
What is an arc?In mathematics, an arc is a portion of the boundary of a circle or curve. It is sometimes referred to as an open curve.
The measurement around a circle that determines its edge is called the circumference, often known as the perimeter.
So, the formula to find the length of the arc is:
Length of an Arc = θ × r
Now, insert values and calculate as follows:
Length of an Arc = θ × r
Length of an Arc = 4π/5 × 12
Length of an Arc = 4π/5 × 12
Length of an Arc = 12.56/5 * 12
Length of an Arc = 2.512 * 12
Length of an Arc = 30.144
Therefore, using the length formula we know that the length of the given arc is 30.144 miles.
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