1. The second party has more pizza in terms of area
2. The width of the track is approximately 3.50 cm.
How to find which party has more pizza?1. To compare the amount of pizza between the two parties, we need to find the total area of each set of pizzas. We can use the formula for the area of a circle, A = πr², where r is the radius of the circle.
For the large pizzas, the diameter is 16 inches, so the radius is 8 inches. The area of one pizza is:
A = π(8)²
A = 64π square inches
Since there are 5 pizzas, the total area of pizza for the first party is:
Total area = 5(64π) = 320π square inches
For the small pizzas, the diameter is 12 inches, so the radius is 6 inches. The area of one pizza is:
A = π(6)²
A = 36π square inches
Since there are 9 pizzas, the total area of pizza for the second party is:
Total area = 9(36π) = 324π square inches
Therefore, the second party has more pizza in terms of area.
How to find width of the track?2. We can start by finding the length of the arc of the sector. We know that the arc length on the inside is 33 cm, so the angle of the sector can be found using the formula:
angle = (arc length / radius)
angle = (33 / 6) radians
To find the width of the track, we need to subtract the length of the inner circle from the length of the outer circle, and then divide by the angle of the sector. Let's call the width of the track "x". Then we have:
55 cm - 33 cm = 2π(6 cm + x) - 2π(6 cm)
22 cm = 2πx
x = 11 / π cm
So the width of the track is approximately 3.50 cm.
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3(+2)(-5)-2(x-1) (power of 2)
Answer:
is this what u wanted???
research shows that ethnicity is often a bigger barrier to advancement into top leadership positions than being a woman.
It is important to approach statements like this with caution and consider the complexity of the factors at play in career advancement and leadership positions.
While research may indicate that ethnicity can be a significant barrier to advancement in some cases, it is crucial to recognize that experiences can vary based on individual circumstances, industries, and regions. Gender and ethnicity intersect in complex ways, and the challenges faced by women of different ethnic backgrounds can differ significantly.
It is essential to avoid generalizations and recognize that multiple factors contribute to the barriers individuals face in reaching top leadership positions. These factors can include implicit biases, cultural norms, lack of representation, access to opportunities, networking, and organizational structures. Intersectionality, which considers how different aspects of a person's identity can intersect and create unique experiences, is also a crucial perspective to consider when discussing barriers to advancement.
To fully understand and address the barriers individuals face in reaching top leadership positions, it is necessary to consider a comprehensive range of factors and engage in ongoing research, dialogue, and efforts to promote equity, diversity, and inclusion in the workplace.
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35. Mathematical Connections A streamer is
launched 3 s after a fuse is lit and lands 8 s
after it is lit.
у
100
80
60
Height (ft)
40
20
0
0
X
8 10
2 4 6
Time (s)
a. What is a quadratic equation in factored
form that models the situation?
Launching the fuse is an illustration of a quadratic model, and the equation of the quadratic model is f(x) = 15(x - 3)(x - 8)
How to model the quadratic equation?From the complete question, the zeros of the quadratic function are:
x = 3 and x = 8
Rewrite as:
x - 3 = 0 and x - 8 = 0
So, the quadratic equation is:
f(x) = a(x - 3)(x - 8)
Also from the graph, we have the following point
(x,y) = (4,60)
Substitute 4 for x and 60 for f(x) in the function
a(4 - 3)(4 - 8) = 60
Evaluate the difference
a(1)(-4) = 60
Evaluate the product
-4a = 60
Divide both sides by 4
a = -15
Substitute a = -15 in f(x) = a(x - 3)(x - 8)
f(x) = -15(x - 3)(x - 8)
Hence, the equation of the quadratic model is f(x) = 15(x - 3)(x - 8)
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Alvin and his friends set out to sea on their annual fishing trip. There is a proportional relationship between the time (in hours) Alvin and his friends spend sailing, x, and their distance from shore (in miles), y.
After sailing for 2 hours, Alvin and his friends are 10 miles from shore. Write the equation for the relationship between x and y.
y =
Now, use your equation to find their distance from shore after sailing for 3 hours.
Answer:From the given information, we know that after sailing for 2 hours, Alvin and his friends are 10 miles from shore. This can be written as y = 10 when x = 2.
Since there is a proportional relationship between x and y, we can write an equation using this information: y = kx, where k is the proportionality constant.
Substituting the known values, we get: 10 = k * 2
Solving for k, we get: k = 10/2 = 5
So, the equation relating x and y is: y = 5x
To find their distance from shore after sailing for 3 hours, we can plug in x = 3 into the equation:
y = 5x
y = 5 * 3
y = 15
So, after sailing for 3 hours, Alvin and his friends are 15 miles from shore.
Step-by-step explanation:
(pic will be provided.) Construct the two-way frequency table. 6th Graders 7th Graders 8th Graders Total Very Unhappy Unhappy 9 6 7 11 How do You Feel About a Longer School Year? Very Happy Neutral Happy 11 36 5 35 24 58 14 18 Total 47 60 191.
Based on the information in the graph, we can infer that the missing numbers are: 9, 4, 19, 30, 84, 16, 8, 22, and 40.
How to complete the table?To complete the table correctly we must identify the columns or rows with more data. These will be the easiest to complete. First of all, we must fill in those that already have a number in the total box because we can add the available numbers and later subtract them from the total to identify the missing number.
We can also find the numbers in the total cells by adding all the numbers in a column or row to find this result. Finally, the boxes that are being completed serve as clues to complete the others.
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Siti spent 2/5 of her money and had $60 left. How much money did she have at first?
Siti had $100 at first, after which she spent 2/5 of money and then left with $60.
Given, Siti spent 2/5 of her money.
Now she is left with $60.
we need to determine how much amount of money Siti had first = ?
Let x be the orignal amount of money.
Since we know that because "Siti spent 2/5 of her money", she'll have 3/5of her money left
since 1- 2/5 = 3/5
So she has (3/5)x dollars left.
Now we also know that she has "$60 left", so this means that:
(3/5)x=60
multiply by 5 on both sides,
3x = 5×60
3x = 300
x = 100
Siti had $100 first, after which she spent 2/5
that is $40 and now left with $60.
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Histograms: the maths GCSE test scores of 280 students are shown in the histogram below
Answer:
a) The value of the median is 112
b) The value of the lower quartile is 95.59
Step-by-step explanation:
From the histogram, we look for the data values as follows
Score, Frequency, Cumulative , n
80 - 90, 2.6, 2.6
90 - 100, 3.4, 6
100 - 120, 5, 11
120 - 140, 3, 14
140 - 170, 2.4, 16.4
170 - 200, 0.6, 17
The median is therefore the (nth + 1)/2th value = (17 + 1)/2 = 9th value
The 9th value is between the 100 - 120 score values
We note that the previous n value before the 100 - 120 range = 6, therefore, the 9th value will be the weighted average in the 100 - 120 range of tha amount the 9th value is larger than the 6th value as follows;
9 - 6 = 3
The weighted average of 3 out 5 (11 - 6 = 5) of the 100 - 120 range which gives;
Therefore, the value of the median, Q₂ = 100 + (9 - 6)/(11 - 6))*(120 - 100) = 112
b) The lower quartile = Q₁ is given by the value at the (n +1)/4th position = (17 + 1)/4 = 4.5th position
From the cumulative frequency column, the 4.5th value is in the 90 - 100 score range
Similar to the previous question, we find the value of the lower quartile using the weighted average as follows;
Therefore, the value of the lower quartile, Q₁ = 90 + (4.5 - 2.6)/(6 - 2.6)×(100 - 90) = 95.59.
Cindy is 6 years older than half her
mother's age. Cindy's mom is 70 years old.
How old is Cindy?
Answer:
cindy is 51
Step-by-step explanation:
70 divided by 2 is 45
45+ 6 is 51
Rectangle jklm is congruent to a 4 inch by 7 inch rectangle. How many different values are possible for the length of segment j m?.
A congruent rectangle is a rectangle that has the same size and shape as another rectangle. In other words, two rectangles are congruent if they have the same length and width.
Since the rectangle is 4 inches by 7 inches, one of the dimensions represents the length and the other represents the width. The length and the width can be interchanged to form a different rectangle with the same area.
Since the rectangle is congruent to the 4-inch by 7-inch rectangle, the length and width of the rectangle are either 4 inches or 7 inches. Therefore, the length of segment JM can be either 4 inches or 7 inches.
So, there are two possible values for the length of segment JM: 4 inches and 7 inches.
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Suppose the critical value for a right-tailed hypothesis test is 2.87 and the test statistic is 387 what is the appropriate conclusion?
A. Reject the null hypothesis
B. Fail to reject the null hypothesis
C. Reject the alternative hypothesis
D. Fail to reject the alternative hypothesis
The appropriate conclusion for the given critical value and test statistic is reject the null hypothesis so that the3 correct answer is option (A)
To determine the appropriate conclusion for a hypothesis test, we compare the test statistic to the critical value. In this case, we are given a right-tailed hypothesis test with a critical value of 2.87 and a test statistic of 387.
Step 1: Identify the critical value and test statistic
Critical value = 2.87
Test statistic = 387
Step 2: Determine the type of hypothesis test
Since it is a right-tailed hypothesis test, we will compare the test statistic to the critical value on the right tail of the distribution.
Step 3: Compare the test statistic to the critical value
The test statistic (387) is greater than the critical value (2.87). In a right-tailed hypothesis test, when the test statistic is greater than the critical value, we reject the null hypothesis.
Therefore, the appropriate conclusion is to reject the null hypothesis (option A).
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Can any one help me with all these 3 questions? Thank you if you helped :)
Answer: Answer already been answered credits to that person give that person brainliest
Step-by-step explanation:
what is the unit rate for each size of peanut butter regular size $per. oz. regular size 16 oz price 3.36
You see in the table given in the exercise, that a Regular size of peanut butter has 16 ounces and it costs $3.36.
In order to calculate the unit rate of this regular size, you must divide $3.36 by 16 ounces.
Let be "r" the unit rate for the Regular size. This is:
\(\begin{gathered} r=\frac{3.36dollars}{16ounces} \\ \\ r=0.21\frac{dollars}{ounce} \end{gathered}\)According to the table, the Family size has 40 ounces and it costs $7.60.
Let be "f" the the unit rate for the Family size.
Dividing $7.60 by 40 ounce, you get that the value of "f" is the following:
\(\begin{gathered} f=\frac{7.60dollars}{40ounces} \\ \\ f=0.19\frac{dollars}{ounce} \end{gathered}\)Based on the results obtained, you can determine that Family size is the better buy.
The answers are
Regular: $0.21 dollars per ounce.
Family size: $0.19 dollars per ounce.
Family size is the better buy.
Solve each inequality given that the function f is increasing over its domain\(f(4x-3)\geq f(2-x^2), D_{f}=(-8, 4) \\g(3x^2-2x)\geq g(3x-2), D_{g}=All real numbers\)
The values of the inequalities are -5 ≤ x ≤ 1 and 2/3 ≤ x ≤ 1
What are inequalities?
An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
Here, we have
Inequality 1: f(4x - 3) ≥ f(2 - x²), Df = (-8 , 4)
The function increases at (-8,4).
So, we have:
4x - 3 ≥ 2 - x²
Rewrite as:
x² + 4x - 2 - 3 ≥ 0
Evaluate the like terms
x² + 4x - 5 ≥ 0
Expand
x² + 5x - x - 5 ≥ 0
Factorize the expression
x(x + 5) - 1(x + 5) ≥ 0
Factor out x + 5
(x - 1)(x + 5) ≥ 0
Solve for x
x ≥ 1 or x ≥ -5
Rewrite as:
-5 ≤ x ≤ 1
Inequality 2: g(3x² - 2x) ≥ g(3x - 2), Dg = all real numbers
g(3x² - 2x) ≥ g(3x - 2)
(3x² - 2x) ≥ (3x - 2)
Evaluate the like terms
3x² - 2x -3x + 2 ≤ 0
3x² - 5x + 2 ≤ 0
3x² - 3x -2x + 2 ≤ 0
3x(x-1) -2(x-1) ≤ 0
Solve for x
x≤1 or x≤2/3
Hence, the values of the inequalities are -5 ≤ x ≤ 1 and 2/3 ≤ x ≤ 1
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Find RS.
A. 12
B. 5
C. 9
it may be 12...........
Answer:
B) RS=5
Step-by-step explanation:
(2x-6)+(1)+(x-4)=18
2x-6+1+x-4=18
3x-9=18
3x=18+9
3x=27
x=9
Find RS
x-4
9-4
=5
Answer:
Step-by-step explanation:
A,B and D
Find x and y. Give reasons to justify your solution.
Answer:
x = 36
y = 22
Step-by-step explanation:
Let's solve for x
<EOG is a right angle due to the marking. Since that's the case, m<EOG = 90.
<EOF + <FOG = <EOG
Now let's substitute the values in.
54 + x = 90
x = 36
Let's solve for y
<AOB is 180 because it's a line.
<BOD + <COB = 180 because of supplementary angles
<BOD + 156 = 180
<BOD = 24
Let's create the equation now.
<AOE + <EOF + <FOG + <GOD + <BOD = <AOB
Now let's substitute the values in.
y + 54 + x + 2y + 24 = 180
3y + x + 78 = 180
Now let's substitute 36 for x.
4y + 36 + 78 = 180
3y + 114 = 180
3y = 66
y = 22
Hope this helped! If not, please let me know! <3
state which is greater
(5-6) times 10 or 5-6 times 10
9m^2-4n+12 factor out gcf
Answer: 9m^2 - 4n + 12
Step-by-step explanation:
To factor out the greatest common factor (GCF) from the expression 9m^2 - 4n + 12, we need to find the largest common factor of all the terms.
Let's examine each term individually:
9m^2: The only common factor between 9 and m^2 is 1.
-4n: The only common factor between -4 and n is 1.
12: The factors of 12 are 1, 2, 3, 4, 6, and 12. However, there is no common factor between 12 and the other terms.
Since there is no common factor other than 1, we cannot factor out anything more significant than 1. Therefore, the factored form of the expression 9m^2 - 4n + 12 is simply the original expression itself:
To factor out the greatest common factor (GCF) from the expression 9m^2 - 4n + 12, let's first identify the GCF of the coefficients. In this case, the GCF of 9, -4, and 12 is 1 since there is no common factor greater than 1.
Next, we'll factor out the GCF from each term:
9m^2 = (9)(m^2)
-4n = (-4)(n)
12 = (12)(1)
Now we can rewrite the expression factoring out the GCF:
9m^2 - 4n + 12 = (1)(9m^2) + (1)(-4n) + (1)(12)
Simplifying this, we get:
9m^2 - 4n + 12 = 9m^2 - 4n + 12
Since there is no common factor other than 1, the expression cannot be further factored.
8 4/5 - 2/3 - ? = 3 1/10
Answer: 5 1/30
Step-by-step explanation:
8 + 4/5 - 2/3 - 3 - 1/10 = 5 + 1/30
Look at this square. Find the value of
S.
S
Perimeter = 16 miles
S =
miles
The value of S, which represents the length of each side of the square, is 4 miles.
To find the value of S, we need to determine the length of each side of the square. Given that the perimeter of the square is 16 miles, we can use the formula for the perimeter of a square, which is 4 times the length of a side.
Perimeter = 4 × S
Given that the perimeter is 16 miles, we can substitute this value into the equation:
16 = 4 × S
To solve for S, we divide both sides of the equation by 4:
16 ÷ 4 = S
4 = S
Therefore, S, which stands for the square's side lengths, has a value of 4 miles.
So, S = 4 miles.
This means that each side of the square measures 4 miles, and the square has equal sides and right angles at each corner.
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Which statement below CANNOT be represented by the expression x - 10?
a. 10 less than x
b. x decreased by 10
c. x less than 10
d. 10 subtracted from x
What is the best name for a quadrilateral at vertices (1, 4), (4, 0), (0, -3), and (-3, 1)?
Rectangle
Square
Parallelogram
Rhombus
The best name for the quadrilateral at given vertices is square.
What is a quadrilateral?
There are four sides, four vertices, and four angles in a closed quadrilateral. It has a polygonal shape. It is made by joining four non-collinear places.
We are given vertices as (1, 4), (4, 0), (0, -3), and (-3, 1).
Using distance formula,
⇒ D = \(\sqrt{(0-4)^{2} + (4-1)^{2} }\)
⇒ D = \(\sqrt{(-4)^{2} + (3)^{2} }\)
⇒ D = √ 16 + 9
⇒ D = √ 25
⇒ D = 5
Similarly,
⇒ D = \(\sqrt{(1+3)^{2} + (-3-0)^{2} }\)
⇒ D = \(\sqrt{(4)^{2} + (-3)^{2} }\)
⇒ D = √ 16 + 9
⇒ D = √ 25
⇒ D = 5
Similarly,
⇒ D = \(\sqrt{(-3-0)^{2} + (0-4)^{2} }\)
⇒ D = \(\sqrt{(-3)^{2} + (-4)^{2} }\)
⇒ D = √ 9 + 16
⇒ D = √ 25
⇒ D = 5
Similarly,
⇒ D = \(\sqrt{(1-4)^{2} + (-3-1)^{2} }\)
⇒ D = \(\sqrt{(-3)^{2} + (-4)^{2} }\)
⇒ D = √ 9 + 16
⇒ D = √ 25
⇒ D = 5
Since, all the sides are same so, the quadrilateral is a square.
Hence, the best name for the quadrilateral at given vertices is square.
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Can someone help me with this math homework please!
Answer: h = 14
Step-by-step explanation:
7h-5(3h-8)-56 = -128
7h -15h+40-56 = -128
or, -8h-16= -128
or, -8h = -128 + 16
or, -8h = -112
or, 8h = 112
or, h = 112/8
so, h = 14
Answer:
h = 14
Step-by-step explanation:
We are going to use basic algebra to solve this equation.
First, let's isolate the h variables by moving -56 to the other side:
7h - 5(3h - 8) - 56 = -128
(add 56 to both sides)
7h - 5(3h - 8) = -72
Next, let's distribute the -5 to (3h - 8) by separating it from the equation then adding it back:
7h - 5(3h - 8) = -72
Separation:
-5(3h - 8) --> (-5*3h) + (-5*-8) --> (-15h) + (40)
-15h + 40
Adding it back in:
7h -15h +40 = -72
Next, let's simplify it down by adding like terms, meaning adding 7h & -15h:
7h -15h +40 = -72
(add 7h & -15h)
-8h + 40 = -72
Now we're going to move the 40 to the other side but subtracting 40:
-8h + 40 = -72
(subtract 40 to both sides)
-8h = -112
Finally, we're going to divide both sides by -8
-8h = -112 --> h = 14
The answer is h = 14
(You can double check by plugging 14 into the equation and see if it equals -128, which it does, so it's correct :-) )
Hope it helps (●'◡'●)
Is -3 contraction or expansion in geometry
Answer:
no
Step-by-step explanation:
Tommy has 7 apples his mom takes away 3 how much he has now?
Answer:
4 apples
yeaaaaaaaaaaaaaaaaaaahhhhhh
Answer:
ele tem 4 maçãs
Step-by-step explanation:
Find the total area of the compound figure.
6.5 m
14 m
5m
16 m
The total area of the compound figure is 126 square meters.
What is compound?
"Compound" has multiple meanings depending on the context. In the context of your previous question, a "compound figure" refers to a figure made up of two or more shapes that are combined or overlapping to form a single shape. For example, a figure that is made up of a rectangle and a triangle is a compound figure.
To find the total area of the compound figure, we can divide it into smaller shapes and then add up their areas.
First, we can divide the shape into a rectangle and a triangle:
[Rectangle] Length = 14 m, Width = 6.5 m
Area of rectangle = Length x Width = 14 m x 6.5 m = 91 m²
[Triangle] Base = 14 m, Height = 5 m
Area of triangle = 1/2 x Base x Height = 1/2 x 14 m x 5 m = 35 m²
So, the total area of the compound figure is:
Total area = Area of rectangle + Area of triangle = 91 m² + 35 m² = 126 m²
Therefore, the total area of the compound figure is 126 square meters.
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Compare the budgets of Hong Kong, United States of America, and
Korea based on your definition of a budget, in terms of contents,
formats, advantages, and disadvantages, etc.
The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.
A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:
Hong Kong Budget:United States Budget:
Contents: The US budget comprises revenue, expenditures, and deficit or surplus. It includes an analysis of taxes, social security, and Medicare.Format: The US budget is presented in a complex and lengthy format, including tables, graphs, and other financial documents.Advantages: The budget provides detailed information on tax expenditures and encourages public participation in the budget process.Disadvantages: The budget can be challenging to understand due to its complexity, and it may not provide an accurate depiction of federal spending.Korean Budget:
Contents: The Korean budget comprises revenue, expenditures, and surplus or deficit. It includes detailed information on taxes, social security, and public welfare.Format: The Korean budget is presented in a clear and concise format, including tables and charts to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability. It also provides detailed information on social welfare expenditures.Disadvantages: The budget may not provide an accurate depiction of government spending, and it may not include information on hidden expenditures.Learn more about Budget:
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How would I be able to solve for x?
WORTH 85 POINTS!!
explain in FULL sentences!!!
A student conducted an experiment to test whether talking to plants would help them to grow faster. He set up the following two groups: Group 1: spoken to and hand watered Group 2: not spoken to and hand watered After three weeks, the plants in Group 1 showed much more growth than those in Group 2.
Name the independent and dependent variable.
Answer: Group 1 is the dependent variable, and group 2 is the independent
Step-by-step explanation: The dependent variable is the variable that is being measured or tested in an experiment. So, Group 1 would be the dependent variable, because as it says the the group 1 plants were spoken to and hand watered as in they changed the outcome of the experiment.
The independent variable is the variable the experimenter changes or controls. So, the independent variable would be group 2 because the group 2 plants outcome was not determines anything but it's self.
Answer it please and thanks
Answer:
12)
13)B
14)B
15)B
16)
17)A
18)D
19)A
20)D
Step-by-step explanation:
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