Answer:
7.5
Step-by-step explanation: To find the distance between two points on the number line, we need to find the difference. So 9.8 - 2.3 is 7.5.
$100,000 is shared among three friends, Anna, Louise and Lacey in the ratio.7: 10:13 respectively. Calculate the amount each receives.
Answer:
Step-by-step explanation:
Set up an equation:
7x + 10x + 13x = 100000 and solve for x:
30x = 100000 so
x = 3333.33
Anna gets 7(3333.33) = 23333.31
Louise gets 10(3333.33) = 33333.33
Lacey gets 13(3333.33) = 43333.29
HELP ME ITS DUE TODAY!!!!! The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
1 7, 9
2 1, 5, 9
3 0, 1, 2
4 6, 9
Key: 2|1 means 21
What is the appropriate measure of variability for the data shown, and what is its value?
The IQR is the best measure of variability, and it equals 32.
The range is the best measure of variability, and it equals 11.
The IQR is the best measure of variability, and it equals 11.
The range is the best measure of variability, and it equals 32.
Answer:
The answer to your problem is, D. The range is the best measure of variability, and it equals 32.
Step-by-step explanation:
We know the scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
1 7, 92 1, 5, 93 0, 1, 24 6, 9The key will equal 2|1 means 21
Which we conclude to 17, 19, 21, 25, 29, 30, 31, 32, 46, 49.
Quartile:
Quartile 1, Q1 = 21Quartile 2, Q2 = 29.5Quartile 3, Q3 = 32Third Quartile, Q3 = 32Median, Minimum, Maximum, & Range:
Median, Q2 = 29.5Minimum, Min = 17Maximum, Max = 49Range, R = 32Thus the answer to your problem is, D. The range is the best measure of variability, and it equals 32.
Can someone who is smart in math help please algebra one
Answer:
I'm not sure but y=1 may be the answer
Answer: (0,1)
Step-by-step explanation:
) In a geometric progression, the sum of the first two terms is equal to 16. The sum to infinity is equal to 25. Find the possible values of the first term.
There are no possible real values for the first term 'a' that satisfy both equations.
Let's denote the first term of the geometric progression as 'a' and the common ratio as 'r'.
The sum of the first two terms can be expressed as:
a + ar = 16
To find the sum to infinity, we can use the formula:
Sum to infinity = a / (1 - r)
Given that the sum to infinity is 25, we have:
25 = a / (1 - r)
We now have two equations:
a + ar = 16
a / (1 - r) = 25
We can solve these equations simultaneously to find the possible values of 'a'.
From the first equation, we can factor out 'a' to get:
a(1 + r) = 16
Dividing both sides of the second equation by 25, we have:
a / (1 - r) = 1
We can rearrange this equation to get:
a = 1 - r
Substituting this expression for 'a' in the first equation, we get:
(1 - r)(1 + r) = 16
Expanding the equation, we have:
1 - r^2 = 16
Rearranging the terms, we get:
r^2 = -15
Since we are dealing with a geometric progression, the common ratio 'r' must be a real number. However, we observe that r^2 = -15 has no real solutions. Therefore, there are no possible real values for the first term 'a' that satisfy both equations.
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Calvin works at a pizza place making pizzas. If he is working alone, he can make an average of 15 3/4 per hour. If he works with his friend Megan, he tends to get distracted, and his rate falls by 1/2 per hour. How many pizzas can Calvin make in a 8- hour shift with Megan?
Explain the operations that will be needed to solve this problem, ans then solve it.
The fraction 1/2 converts to 0.50 in decimal form.
The mixed number 15 & 3/4 is the same as 15.75
If Calvin is distracted, then he makes 15.75-0.50 = 15.25 pizzas per hour on average.
Multiply by 8 to find the total number of pizzas possible.
8*15.25 = 122
Answer: Calvin can make 122 pizzas overall if he is distractedCalvin can make 122 pizzas in an 8-hour shift with Megan.
Since Calvin works at a pizza place making pizzas, and if he is working alone, he can make an average of 15 3/4 per hour, but if he works with his friend Megan, he tends to get distracted, and his rate falls by 1/2 per hour, to determine how many pizzas can Calvin make in a 8-hour shift with Megan, the following calculation must be performed:
Rate of pizzas made x number of hours = Total number of pizzas (15 3/4 - 1/2) x 8 = X (15.75 - 0.5) x 8 = X 15.25 x 8 = X 122 = X
Therefore, Calvin can make 122 pizzas in an 8-hour shift with Megan.
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Choice the correct answer
Answer:
wheres A
Step-by-step explanation:
What is the equation of the line that passes through the point (-4, 2) and has a
slope of —2?
Answer:
y=-2x-6
Step-by-step explanation:
what is 10% of 35
explain how u know
Answer: 3.5
Step-by-step explanation:
Since 10% x 10 = 100%
So we have to do 35 ÷ 10
35 ÷ 10 = 3.5
In conclusion, 10% of 35 = 3.5
Hope this helps!
the dimension of the confirms room or 7.2 M * 11 M what is the area of the conference room
Step-by-step explanation:
Just multiply the two dimensions to get m^2 area
7.2 m * 11 m = 79.2 m^2
1,2,3,4,5 what is probability that an even number will be chosen?
Answer:
Step-by-step explanation:
step 1
100%/the total number = percent for one probability
100/5 = 20%
2 and 4 is even.
total even number * percent for one probability = total percent for even number
20% * 2 = 40%
therefore total even number is 40%
The probability is:
2/5Step-by-step explanation:
Remember the formula for probability:
\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)
In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.
As for the total outcomes, there are 5 of them, because we have 5 numbers total.
So the probability of choosing an even number is 2/5.
Find the value of (f o g)' at the given value.
To find the value of (f o g)' at a given value, you first need to understand the concept of composite functions and the chain rule of differentiation. Let's break it down step by step.
To find the value of (f o g)' at a given value, you need to evaluate g(x) and f(x), find their derivatives, and use the chain rule to find the derivative of (f o g) at the given value. It is important to understand the concepts of composite functions and the chain rule to be able to solve problems involving these concepts.
What are composite functions? Composite functions are functions that are formed by composing two or more functions. The notation used to denote composite functions is (f o g)(x), which means that the output of function g is used as the input for function f. In other words, we first evaluate g(x), and then use the result as the input for f(x).
What is the chain rule of differentiation? The chain rule of differentiation is a method used to find the derivative of composite functions. It states that if a function is composed of two or more functions, then its derivative can be found by taking the derivative of the outer function and multiplying it by the derivative of the inner function.
To find the value of (f o g)' at a given value, we need to follow these steps:1. Find g(x) and f(x)2. Find g'(x) and f'(x)3. Evaluate g(x) at the given value4. Use the chain rule to find (f o g)' at the given value
step 1: Find g(x) and f(x)Let's say that we have two functions: g(x) = x^2 + 3x + 1 and f(x) = sqrt(x). To find (f o g)(x), we first need to evaluate g(x) and then use the result as the input for f(x). Therefore, (f o g)(x) = f(g(x)) = sqrt(x^2 + 3x + 1)
Step 2: Find g'(x) and f'(x)To find g'(x), we need to take the derivative of g(x) using the power rule and the sum rule. Therefore, g'(x) = 2x + 3To find f'(x), we need to take the derivative of f(x) using the power rule and the chain rule. Therefore, f'(x) = 1/2(x)^(-1/2)
Step 3: Evaluate g(x) at the given valueSuppose we want to find (f o g)' at x = 2. To do this, we need to first evaluate g(x) at x = 2. Therefore, g(2) = 2^2 + 3(2) + 1 = 11
Step 4: Use the chain rule to find (f o g)' at the given value now we can use the chain rule to find (f o g)' at x = 2. Therefore, (f o g)'(2) = f'(g(2)) * g'(2) = 1/2(11)^(-1/2) * (2)(3) = 3/sqrt(11)
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Peyton and her children went into a restaurant and where they sell drinks for $3 each
and tacos for $4 each. Peyton has $40 to spend and must buy at least 10 drinks and
tacos altogether. If Peyton decided to buy 4 drinks, determine all possible values for
the number of tacos that she could buy. Your answer should be a comma separated
list of values. If there are no possible solutions, submit an empty answer.
Answer:
7,6
Step-by-step explanation:
So in total Peyton must buy 10 items. Since she's already buying 4 drinks. We need to find the amount of tacos the max amount of tacos she can buy are 7 tacos and the minimum is 6 because if we bought less than 6 it wouldn't have met the criteria for 10 items minimum. And if we passed 7 tacos it would go past the limit of how much money Peyton has. I hope this helped:)
Identify the graph of the inequality 2(2x-1)+7< 13 or -2x+5-10.
From the resulting solution, the correct linear inequality graph is Graph C.
Solving inequality expressionGiven the inequality equation below:
2(2x-1)+7< 13 or -2x+5 ≤ -10.
Simplify the expression
2(2x-1)+7< 13
Expand
4x - 2 + 7 < 13
4x + 5 < 13
4x < 13 - 5
4x < 8
x < 2
For the inequality -2x+5 ≤ -10.
-2x+5 ≤ -10
-2x ≤ -15
x ≥ 7.5
Hence the solution to the given system of inequalities are x < 2 and x ≥ 7.5
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How can I get the number 10 , by only using 1,6 and 7 
Answer:
7 + 1 + 1 + 1 = 10
Step-by-step explanation:
This question is not very clear as to what is required, or any possible limitations. One possible solution is listed below, hope it does help.
Using the numbers 1, 6, and 7, you can get the number 10 through the following equation:
7 + 1 + 1 + 1 = 10
By adding 7 with three instances of 1, you obtain 10.
A factory made 3 jars of creamy peanut butter and 97 jars of chunky peanut butter. What percentage of the jars of peanut butter were creamy?
Answer:
3%
Step-by-step explanation:
They made 97+3 total jars, 3 out of 100 is 3 percent.
Here is a right angled triangle work out the value of x using trigonometry
\(~~~~~\sin 30^{\circ} = \dfrac{\text{Perpendicular}}{\text{Hypotenuse} }\\\\\\\implies \dfrac 12 = \dfrac{8}x\\\\\\\implies x = 8\cdot2\\\\\\\implies x = 16 ~ \text{cm.}\)
The measure of the side length is 16 cm after applying the sin ratio which is the side opposite to the angle/hypotenuse.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
It is given that:
A right-angle triangle is shown in the picture.
To find the side length of the hypotenuse apply the sin ratio
sin30 = side opposite to the angle/hypotenuse
1/2 = 8/x
x = 8(2)
x = 16 cm
Thus, the measure of the side length is 16 cm after applying the sin ratio which is the side opposite to the angle/hypotenuse.
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LAST TRIG QUESTION <3
Answer:
choice 4) x = 12
Step-by-step explanation:
sin 60 = 6/a
0.8660 = 6/a
a = 6.9228
tan 60 = x/6.9228
1.7321 = x/6.9228
x = 12
A long year-end status report for work is 99 pages long. You need to print 15 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.56 each.
Answer:
$10.68
Step-by-step explanation:
Well to start out, you need 15*99 or 1485 pieces of paper.
This is in the 1001-1500 range so you need to buy 3 reams
3*3.56=10.68
Answer: $10.68
Step-by-step explanation:
2. Suppose the price of good x increased from 4 birr to 5 birr. Because of change price of good x, quantity demand of good y changed from 5,000 to 6,250. a. Find cross price elasticity of demand b. What types of goods (good x and good y) are?
Based on the cross-price elasticity of Demand, we can conclude that good X and good Y are substitutes.
Let's calculate the cross-price elasticity of demand using the given information:
a. Find the percentage change in quantity demanded of good Y:
Percentage Change in Quantity Demanded of Good Y = (New Quantity Demanded - Initial Quantity Demanded) / Initial Quantity Demanded * 100
Percentage Change in Quantity Demanded of Good Y = (6250 - 5000) / 5000 * 100 = 25%
b. Find the percentage change in the price of good X:
Percentage Change in Price of Good X = (New Price - Initial Price) / Initial Price * 100
Percentage Change in Price of Good X = (5 - 4) / 4 * 100 = 25%
Now, we can calculate the cross-price elasticity of demand:
Cross-Price Elasticity of Demand = Percentage Change in Quantity Demanded of Good Y / Percentage Change in Price of Good X
Cross-Price Elasticity of Demand = 25% / 25% = 1
b. Based on the calculated cross-price elasticity of demand, we can determine the types of goods:
If the cross-price elasticity of demand is positive (as in this case, where it is 1), it indicates that the two goods are substitutes. This means that when the price of good X increases, the quantity demanded of good Y also increases, suggesting that consumers view these goods as alternatives to each other.
Therefore, based on the cross-price elasticity of demand, we can conclude that good X and good Y are substitutes.
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Answer:
Step-by-step explanation:
A pioneer study randomly assigned pregnant women to either a daily multivitamin supplement (including folic acid) or a placebo. In the 2104 pregnancies in the women taking the vitamin regimen, there were 28 cases of congenital malformation. In the 2052 pregnancies in the women taking the placebo, 47 cases of congenital malformation were recorded. What is the relative risk reduction, RRR, in congenital malformation when taking a multivitamin supplement compared with taking a placebo
Answer:
0.42
Step-by-step explanation:
The computation of the relative risk reduction is shown below:
= ((Number of congenital cases malformation recorded in 2052 - women taking placebo in 2052) - (number of congenital cases malformation recorded in 2104 - women taking placebo in 2104)) ÷ (Number of congenital cases malformation recorded in 2052 - women taking placebo in 2052)
= ((47 ÷ 2052) - (28 ÷ 2104)) ÷ (47 ÷ 2052)
= 0.42
Parallel Structure:Question 6
Which sentence uses parallel
structure correctly:
Select one:
Eggs, flour, and turning the oven to 350 degrees are needed for
baking the pie.
Eggs, flour, and having turned the oven to 350 degrees will be
needed to bake the pie.
Eggs, flour, and sugar are needed to bake the pie crust.
Eggs, flour, and turning the oven to 350 degrees are needed to
bake the pie crust.
parallel structure is used correctly in :
Eggs, flour, and sugar are needed to bake the pie crust.
In grammar, parallelism, also referred to as parallel structure or parallel construction, is the distribution of identical phrases or clauses with the same grammatical structure within one or more sentences.
The use of parallel structure is more of a stylistic option than a strict rule because it aids in the patterning of sentence elements.
The use of parallelism has an impact on reading and may facilitate text processing.
The rhythm and grammatical balance of a sentence are both guaranteed by using parallel construction.
However, if this structure is not used when creating a sentence with two or more pieces of information, the sentence will have a disruption in rhythm or grammatical imbalance.
Therefore, the correct answer is:
Eggs, flour, and sugar are needed to bake the pie crust.
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DONT IGNORE! PLEASE HELP ME! 50 POINTS!
Answer: The answer is C (or the third option)
Step-by-step explanation: The formula for finding the measure of interior hexagon angles is ( n − 2) × 180 °. This means that C is the correct answer
can you plz give me more of an anser
Answer:
peepeepoopoo check
Step-by-step explanation:
Assume you have a balance of $1200 on a credit card with an APR of 18%, or 1.5% per month. You start making monthly payments of $200, but at the same time you charge an additional $80 per month to the credit card. Assume that interest for a given month is based on the balance for the previous month. The following table shows how you can calculate our monthly balance. Complete and extend the table to show the balance at the end of each month until the debt is paid off. How long does it take to pay off the credit card debt? Fill out the table row by row, and continue until the last full payment. (Round to the nearest cent as needed.) Month Payment Expenses Interest 0 1 $200 $80 0 015 × $1200 = $18.00 2 $200 $80 New Balance $1200 $1200 - $200 ÷ $80 ÷ $18.00 = $1098.00 (0,1) More
I need help with this please
The correct answer is each class will get 7/8 cup.
What is number line?A number line is a visual representation of numbers laid out in order, usually from least to greatest. It is used to help visualize the size of numbers and the relationships between them. It's a great tool for students to understand addition, subtraction, and other operations with numbers.
The number line shows that 7/8 cup was the most rainwater gathered by any class. Since the principal is dividing the amount of rainwater collected evenly among the classes, each class would get 7/8 cup.
Therefore, each class will get 7/8 cup.
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The number line shows that 3/4 cup was the most rainwater gathered by any class. So, the correct answer is each class will get 3/4 cup.
What is number line?A number line is a visual representation of numbers laid out in order, usually from least to greatest. It is used to help visualize the size of numbers and the relationships between them. It's a great tool for students to understand addition, subtraction, and other operations with numbers.
The number line shows that 3/4 cup was the most rainwater gathered by any class.
Since the principal is dividing the amount of rainwater collected evenly among the classes, each class would get 3/4 cup.
Therefore, each class will get 3/4 cup.
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Calc II Question
Find the volume of the solid obtained by rotating the region bonded bt the given curves about the specified line.
Y = In x
Y = 1
Y = 2
X = 0
About the Y axis
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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The perimeter of the rectangle below is 166 units. Find the value of y.
4y + 2
Sy
The value of y is 9.
Perimeter is the total length of the boundary of any closed shape. It is basically the sum of all the sides of a given figure.
Perimeter of a rectangle is given by [ 2( l + b ) ] or (2 l + 2 b ) or
( l + l + b + b), here l and b represent the length and breadth of the given rectangle.
Perimeter of the given rectangle = 166 units ( given )
Length of the given rectangle = 5y ( given )
Breadth of the given rectangle = (4y + 2) ( given )
By putting values in the formula, we get
perimeter = 2 ( l + b )
166 = 2 [ (5y) + (4y + 2) ]
166 = 2 [ 5y + 4y + 2 ]
166 = 2 [ 9y + 2 ]
166 = 2*9y + 2*2
166 = 18y + 4
166-4 = 18y ( moving 4 to other side thus changing the sign to negative )
162 = 18y
162/18 = y ( moving 18 to other side for further solution )
y = 9
Therefore, the value of y for which the perimeter of the given rectangle is 166 units is 9.
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The value of y is 9.
The whole length of any closed shape's boundary is known as its perimeter. In essence, it is the total of a given figure's sides.
A rectangle's perimeter can be calculated using [2(l + b)] or (2 l + 2 b) or
(l + l + b + b), where l and b stand for the provided rectangle's length and width
The rectangle's perimeter is 166 units ( given )
The rectangle's length is 5y ( given )
Given rectangle's width equals (4y + 2) ( given )
When we enter values into the formula, we obtain
perimeter = 2 ( l + b )
166 = 2 [ (5y) + (4y + 2) ]
166 = 2 [ 5y + 4y + 2 ]
166 = 2 [ 9y + 2 ]
166 = 2*9y + 2*2
166 = 18y + 4
166-4 = 18y ( moving 4 to other side thus changing the sign to negative )
162 = 18y
162/18 = y ( moving 18 to other side for further solution )
y = 9
Therefore, the value of y for which the perimeter of the given rectangle is 166 units is 9.
help me pls i need help
Answer:
answer is D
Step-by-step explanation:
hope this helps :-D
Which graph represents the function g(z)=√2-1+1?
In response to the given question, we can state that Because it is independent of z, the function g(z) is a constant function. In particular, g(z) equals 2 - 1 + 1 = 2.
what is function?Mathematicians examine numbers and complex variations, equations and associated structures, forms and their locations, and prospective positions for these things. The term "functioning" signifies the connection between a collection of inputs, each of which has a corresponding output. A function is a connection of inputs and results in which each input leads to a single, identifiable outcome. Each function is assigned a domain, a codomain, or a scope. The letter f is widely used this to denote functions (x). The symbol for admission is an x. The four primary types of usable functions are on operations, one-to-one capabilities, so multiple functionality, in capabilities, and then on functions.
Because it is independent of z, the function g(z) is a constant function. In particular, g(z) equals 2 - 1 + 1 = 2.
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