Explanation:
We are to fid the area of the sheaded sector
The area of a shaded sector is given by:
Vanessa runs 4 miles each week. Use the number line below to solve and represent the number of weeks it will take her to run 96 miles.
The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks
How to calculate the number of weeks used by Vanessa for race?The amount of distance that Vanessa covers for a week = 4 miles
The amount of weeks it will take for her to cover 96 moles would be = ?
That is;
1 week = 4 miles
X weeks = 96 miles
Make X the subject of formula;
X = 96× 1/4
= 24 weeks
Therefore Vanessa will be able to cover 96 miles in only 24 weeks.
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Mr. Han is trying to decide how many new copies of a book to order for his students each book weighs 6 ounces which ordered pair is a variable solution if X represents the number of books he ordered and Y represents the total weight of the book in ounces
Options : (–3, –18) (–0.5, –3) (0, 0) (0.5, 3)
Answer: (0, 0)
Step-by-step explanation:
Given the following :
X = Number of books he ordered
Y = total weight of the book in ounces
Weight of each book = 6 ounces.
From the options provided,
(–3, –18) (–0.5, –3) (0.5, 3) aren't feasible options because of the following reasons.
The number of books ordered must be a whole number as it is impossible to order fraction of a book, hence, the ordered pair, (-0.5, - 3) and (0.5, 3) aren't viable solutions.
Also, the option (–3, –18) portrays a negative value and the number of books a person orders cannot be negative. Hence, the viable solution should be a positive whole number.
The only solution which seems viable is (0, 0) with x being 0 and y also. 0
If x = Number of books he ordered = 0
Ultimately, the total weight of the book in ounces will be (weight per book * number of books ordered)
= (6 ounces × 0) = 0
Hence, (0,0)
A side table has interior storage space in the shape of a cube. What is the
volume of the storage space if the interior length is 12 inches?
Answer:
1768 in³
Step-by-step explanation:
Volume = 12³ = 1768 in³
What graph would best display the data shown in the frequency table?
A. line plot
B. vertex-edge graph
C. histogram
D. stem-and-leaf graph
Answer:
histogram
Step-by-step explanation:
-2(3x + 4) + 2 X = 4x – 8(x + 1)
We are given the equation:
\(-2(3x\text{ + 4) + 2x = 4x -8(x + 1)}\)We are going to solve the equation by applying BODMAS.
Open the brackets:
\(-6x\text{ - 8 + 2x = 4x -8x - 8}\)Recall that:
\(\begin{gathered} -\times\text{ - = + } \\ +\text{ }\times\text{ - = -} \end{gathered}\)Collect like terms:
\(\begin{gathered} -6x\text{ + 2x - 8 = -4x - 8} \\ -4x\text{ - 8 = -4x - 8} \\ -4x\text{ + 4x = -8 + 8} \\ 0\text{ = 0} \end{gathered}\)We can conclude that there are infinite solutions because the two lines lie on each other i.e the left-hand side is equal to the right-hand side
Answer: Infinitely many solutions
In a room, there are 10 boys and 11 girls. The ratio of girls is to boys is?
Answer:
11:10
Step-by-step explanation:
no. of girls = 11
no. of boys = 10
thus, ratio of girls:boys = 11:10
Put the numbers in order from least to greatest.
Answer:
0.6 > 0.49 > 0 > -0.2 > -0.32
Step-by-step explanation:
-0.32 is the smallest number because it is farthest to the left of 0.-1/5 is the same thing as -0.2. Therefore it is the second smallest number because it is greater than -0.32 but smaller than zero. 0 belongs in the middle because it has no value and is a neutral number. 0.49 is greater than 0 so it should go to the right of zero. 6/10 is the same thing as 0.6. 0.6 is the greatest number of all these numbers so it should be the farthest to the right from 0.Please let me know if this helped!!!
Which of the statements are true about the image?
Answer:
which image
Step-by-step explanation:
if you tell me I will answer the question
Answer:
image not found
you can send the image privately
Frank wants to go bowling. The bowling alley charges $4 per game and a one-time charger of $3 for bowling shoes. Look at the information below:
y = 4x + 3
y is the total cost of bowling
x is the number of games bowled
Based on the information, which statement is true?
Report that other guy smh... but im not quite too sure but i believe the answer you were looking for was C. The total cost will increase by 4$ every 3 games bowled :D
Find the distance between Rockville and San Jose if they are in apart on a map with a scale of 2in:
25 mi
Answer with step-by-step explanation:
The distance between Rockville and San Jose is 2407.2. Since there are 63360 inches in a mile, we divide it by 2, which is 31680. We multiply 2407.2 by 31680, and get 76260096.
How many solutions will there be for a quadratic equation of the form ax2 + bx+c = 0 if the discriminant, b2 - 4ac, is negative?
1.)There will be two complex solutions.
2.)There will be one real solution.
3.)There will be two real solutions.
3.)There will be no solutions.
Xian is planning a party at the skating rink. The cost for each person attending is $3. 50 for skate rental and $5. 00 for food. Xian cannot spend more than $300. Which inequality could be used to find the greatest number of people, p, that can attend?.
The inequality could be used to find the greatest number of people, p, that can attend is 3.5p + 5p ≤ 300.
Here the inequality is that the sum of the cost of rentals and food which is represented by 3.5p and 5p, respectively, must be less than or equal to $300. By solving the inequality we can determine the maximum number of people that can attend the party while staying within Xian's budget.
To solve the inequality, we first subtract 5p from both sides to isolate the 3.5p term. This results in 3.5p≤300-5p. Then we divide both sides by 3.5 to isolate p, which yields p≤85.71. Since we can't have a fractional number of people, we can determine the maximum number of 85 people that can attend the party.
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Given the drawing as shown below and that pllq. Which of the following cannot be supported by the evidence shown? Worth 10 points
The relation that can not be supported by the evidence in the image is option B
What happens when a transversal cuts a parallel line?
Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.
Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.
Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.
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14 Find the distance between the two points. Imagine a right triangle connecting the two points. (-3,2) www (2,-2) Hint: Find the base of the triangle by calculating the distance between the x-values of each point. Jay |2 - (-3) = [?]
The distance between the points (-3, 2) and (2, -2) is approximately sqrt(41), which is an irrational number.
To find the distance between two points (-3, 2) and (2, -2), we can use the Pythagorean theorem and consider the points as the vertices of a right triangle.
The base of the triangle is the horizontal distance between the x-values of the two points.
In this case, it is given by:
Base = 2 - (-3) = 2 + 3 = 5
Next, we need to find the height of the triangle, which is the vertical distance between the y-values of the two points. It is given by:
Height = -2 - 2 = -4
Now, we have the base and the height of the triangle.
To find the distance between the two points, we can use the Pythagorean theorem, which states that the square of the hypotenuse (distance) is equal to the sum of the squares of the other two sides (base and height).
Using the Pythagorean theorem:
Distance^2 = Base^2 + Height^2
Distance^2 \(= 5^2 + (-4)^2\)
Distance^2 = 25 + 16
Distance^2 = 41
To find the distance, we take the square root of both sides:
Distance = sqrt(41).
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What is the purpose of data? Answer below.
The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.
Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.
By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.
For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.
Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.
Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.
Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.
Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.
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Which classifications does he number π is best fit into?
Answer:
3.14
Hoped I helped -
Sleepy~
Manuel's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Manuel $5.80 per pound, and type B coffee costs $4.55 per pound. This month, Manuel made 115 pounds of the blend, for a total cost of $585.75. How many pounds of type A coffee did he use?
92.75 pounds of type A are used and 22.25 pounds of type B coffee are used.
It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
Let "a" denote the quantity of type A utilized in pounds, and "115-a" denote the quantity of type B used. Hence, the equation is:
$585.75 = 5.80 a + 5.9(115-a)
-92.75 = 5.80 a - 5.90 a
0.1a = 92.75
a = 92.75
solving for the number of pounds of type A
So type B coffee is obtained as,
= 115 - 92.75
= 22.25
Thus,92.75 pounds of type A are used and 22.25 pounds of type B are used.
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Two mechanics worked on a car. The first mechanic charged $75 per hour, and the second mechanic charged $55 per hour. The mechanics worked for a
combined total of 25 hours, and together they charged a total of $1575. How long did each mechanic work?
Answer:
10 and 15 hours
Step-by-step explanation:
x+y =25 where x is the number of hours the first mechanic worked. y is the number of hours the second mechanic worked
75x+55y=1575
x+y =25 therefore y=25-x
We replace y in equation 75x+55y=1575 with 25-x
75x+55(25-x)=1575
now we solve for x
distribute 55 through the parentheses
75x+1375-55x=1575
combine like terms
20x+1375=1575
move the constant to the right-hand side and change its sign
20x=1575-1375
20x=200
divide each side by 20
x=10
If x is 10 then y has to be 15 since both worked a total of 25 hours.
The vertex of this parabola is at (3,-2). When the x-value is 4, the y value is 3. What is the coefficient of the squared term in the parabola's equation?
Answer:
the coefficient of the squared expression is 5.
Step-by-step explanation:
the equation of a parabola in its vertex form is y=a(x-h)²+k, where (h, k) is the vertex of the parabola.
in this case, h=3, k=-2, so y=a(x-3)-2
plug (4,3) in the equation: 3=a(4-3)²-2, a=5
You drive 3 hours to reach the waterpark. Driving home along the same route, you increase your
speed by 20 miles per hour, reducing your drive time by 1 hour. Write and solve an equation to find
how fast you were driving to the waterpark.
The initial speed to the waterpark is 40 miles/hr.
The return speed is 60 miles/hr.
How to find the speed?
Given,
t = 3hr
Return speed = s +20m
Return time = 3 -1 = 2hrs
Solution:
s = d/t
s = d/3
d = 3s----1
s + 20 = d/t - 1
s + 20 = d/3-1
s + 20 = d/2
2s + 40 = d------2
Equating equations 1 and 2,
3s = 2s + 40
s = 40 miles/hr
The initial speed to the waterpark is 40 miles/hr.
Return speed = s +20
= 40+20
= 60 miles/hr
The return speed is 60 miles/hr.
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Find the volume of a cone with radius 5 yards and height 8 yards. Round your answer to two
decimal places
The volume of a cone will be 209.41 yard³.
What is volume of cone?
The area or volume that a cone takes up is referred to as its volume. Cones are measured by their volume in cubic units such as cm3, m3, in3, etc. By rotating a triangle at any of its vertices, a cone can be created. A cone is a robust, spherical, three-dimensional geometric figure.. Its surface area is curved. The perpendicular height is measured from base to vertex. Right circular cones and oblique cones are two different types of cones. While the vertex of an oblique cone is not vertically above the center of the base, it is in the right circular cone where it is vertically above the base.
So the
V = (1/3)πr²h.
Given, data r = 5yards
h = 8 yards
Volume = 1/3 * π * r ²* h
= 1/3 * 3.141*25*8
=209.41 yard³
Hence, the volume of a cone will be 209.41 yard³.
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Given the polynomial 9x2y6 − 25x4y8, rewrite as a product of polynomials.
(9xy3 − 25x2y4)(xy3 + x2y4)
(9xy3 − 25x2y4)(xy3 − x2y4)
(3xy3 − 5x2y4)(3xy3 + 5x2y4)
(3xy3 − 5x2y4)(3xy3 − 5x2y4)
Answer:
Option 3
(3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
Step-by-step explanation:
Factorize polynomials:
Use exponent law:
\(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)
9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²
25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²
Now use the identity: a² - b² = (a +b) (a -b)
Here, a = 3xy³ & b = 5x²y⁴
9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²
= (3xy³)² - (5x²y⁴)²
= (3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
The function f(x) is shown on the graph.
What is f(0)?
A) 0 only
B) -6 only
C)-2, 1, 1, and 3 only
D) -6, -2, 1, 1, and 3 only
A particle starts to move from rest in a straight line with an acceleration which increases with constant time rate from 1 ft./sec^{2} to 4 ft./sec^{2} in one second. prove that the particle will move a distance of 1 ft. in this second.
The particle's acceleration a increases at a constant rate, so that its average rate of change is equal to its instantaneous rate of change, which is equal to
(4 ft/s² - 1 ft/s²) / (1 s) = 3 ft/s³
The particles starts with acceleration a (0) = 1 ft/s², so we can determine its acceleration at time t by the fundamental theorem of calculus:
a(t) = a (0) + ∫₀ᵗ (3 ft/s³) du
a(t) = 1 ft/s² + (3 ft/s³) t
It also starts from rest, so with initial velocity v (0) = 0. Integrating again gives us the velocity function,
v(t) = v (0) + ∫₀ᵗ a(u) du
v(t) = ∫₀ᵗ (1 ft/s² + (3 ft/s³) u) du
v(t) = (1 ft/s²) t + 1/2 (3 ft/s³) t ²
Taking the particle's initial position to be x (0) = 0, compute the integral again to determine the distance it travels in 1 s:
x(t) = x (0) + ∫₀ᵗ v(u) du
x(t) = ∫₀ᵗ ((1 ft/s²) u + 1/2 (3 ft/s³) u ²) du
x(t) = 1/2 (1 ft/s²) t ² + 1/6 (3 ft/s³) t ³
→ x (1 s) = 1/2 (1 ft/s²) (1 s)² + 1/6 (3 ft/s³) (1 s)³ = 1 ft
Can someone help me with this problem I need to answer it to move on :(
which expressions are equivalent to 9 divided by 0.3
Answer:
Step-by-step explanation:
So the answer would be 90 divided by 3 because all you have to do is multiply 0.3 times 10 and 9 times 10 simple hope this was understandable30 will be the expressions that are equivalent to 9 divided by 0.3.
What is an equivalent expression?In general, something is considered equal if two of them are the same. Similar to this, analogous expressions in maths are those that hold true even when they appear to be distinct. However, both forms provide the same outcome when the values are entered into the formula.
An expression is equivalent even when both sides are multiplied or divided with the same non-zero value.
The expression 9 divided by 0.3 can be written as 9/0.3
The expression that will be equivalent will be determined as:
= 9/0.3
= 90/3
= 30
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−4 3/4=x−1 1/5 helllllllllllllllllpppppppppp meeeee pleassssssweeeeweweee
Answer:
x= -71/20
Step-by-step explanation:
- 4 3/4 = x-1 1/5
-19/4 = x-6/5
-x= -6/5 + 19/4
-x=71/20
hope this helped u!
Mary has a very large, very talented family. There are 10 total. 4 of them play instruments and 7 of them play a sport. 2 of the kids who play an instrument also play a sport. 6 of the kids are on the honor roll. Only 1 plays an instrument, a sport and is on the honor roll.
Find the square root of 9 by long division method
The square root of 9 by long division method will give an answer of 3.
Steps in finding the square root1: Group the digits of 9 into pairs from right to left. Since 9 is a single-digit number, we can consider it as a pair by itself.
2: Find the largest number whose square is less than or equal to the leftmost pair. In this case, the largest number whose square is less than or equal to 9 is 3.
3: Write 3 as the divisor on the left, and the quotient on the top right.
3 √ 9 | 0
4: Multiply the divisor (3) by the quotient (3), and write the result under the 9.
3 √ 9 | 0
- 9
5: Subtract the result (9) from the leftmost pair (9), and write the difference (0) below the line.
3 √ 9 | 0
- 9
0
6: Bring down the next pair (0) to the right of the difference.
3 √ 9 | 0
- 9
0
-----
7: Double the quotient (3) and write a blank space to the right.
3 √ 9 | 0
- 9
0
-----
0
?
8: Find a digit to fill in the blank space, such that when the new divisor (37) is multiplied by the digit, the result is less than or equal to the current dividend (0). In this case, the largest digit we can use is 0.
9: Write the digit (0) as the new quotient, and write the product of the new divisor (37) and the new quotient (0) below the line.
3 √ 9 | 0
- 9
0
-----
0
0
10: Subtract the product (0) from the current dividend (0), and write the difference (0) below the line.
3 √ 9 | 0
- 9
0
-----
0
0
- 0
11: Since there are no more pairs to bring down, we have reached the end of the division. The square root of 9 is 3.
√9 = 3.
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. Suppose a government agency has a monopoly in the provision of internet connections.
The marginal cost of providing internet connections is 1
2
, whereas the inverse demand
function is given by: p = 1
The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.
In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.
The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.
To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.
Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.
As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.
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