Q1. 3,29,492.
Q2. 8 and 12.
Q3. 97,542.
Q4. Raju is the tallest in the group.
Q5. 6 years old.
Q6. Rs. 4,000 altogether.
Q7. The digit 1.
Q8. A Thursday.
Q1. The result of subtracting 6,20,508 from 9,50,000 is 3,29,492.
Q2. The two numbers that have a product of 96 are 8 and 12.
Q3. The difference between the largest and smallest 5-digit numbers formed by the digits 0, 8, 6, 2, 9, 7 using each digit only once is 97,542.
Q4. The tallest person in the group is Raju.
Q5. The older brother is currently 8 years old, and the younger brother is currently 5 years old.
Q6. Granny Dadi left a total of Rs. 6,000 altogether.
Q7. The digit that appears most frequently between and including the numbers 1 and 1,000 is the digit 1.
Q8. The day after 94 days from today (Wednesday) will be a Sunday.
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Leslie and Colton are selling strawberry lemonade in their neighborhood for s dollars per cup.
They decided to set up stands at opposite ends of their street to sell to more people. Leslie sold 20 cups of strawberry lemonade at her stand, and she made an additional $15 in tips.
Colton sold 30 cups of strawberry lemonade at his stand, and he made an additional $25 in
tIps.
Leslie and Colton made in total are Leslie's total earnings: Revenue from sales + Tips = 20s dollars + $15,Colton's total earnings: Revenue from sales + Tips = 30s dollars + $25.
To find out how much Leslie and Colton made in total, we need to determine the revenue from selling cups of strawberry lemonade and the amount they earned in tips separately.
Let's start by calculating the revenue from selling cups of strawberry lemonade:
Leslie sold 20 cups, and Colton sold 30 cups. Since they both sold the same product at the same price, we can assume that the price per cup is s dollars.
Revenue from Leslie's sales: 20 cups * s dollars per cup = 20s dollars
Revenue from Colton's sales: 30 cups * s dollars per cup = 30s dollars
Next, let's calculate the amount they earned in tips:
Leslie made an additional $15 in tips.
Colton made an additional $25 in tips.
Now we can calculate the total earnings for Leslie and Colton:
Leslie's total earnings: Revenue from sales + Tips = 20s dollars + $15
Colton's total earnings: Revenue from sales + Tips = 30s dollars + $25
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What is the inverse of the statement?
A number that has exactly two distinct factors is prime.
OIf a number has exactly two distinct factors, then the number is prime.
O If a number does not have exactly two distinct factors, then the number is not prime.
O If a number is not prime, then the number does not have exactly two distinct factors.
O If a number is prime, then the number has exactly two distinct factors.
Answer:
The inverse of the statement "A number that has exactly two distinct factors is prime" is:
"If a number does not have exactly two distinct factors, then the number is not prime."
Therefore, the correct option is:
O If a number does not have exactly two distinct factors, then the number is not prime.
Step-by-step explanation:
The inverse of the statement "A number that has exactly two distinct factors is prime" is:
"If a number does not have exactly two distinct factors, then the number is not prime."
Therefore, the correct option is:
O If a number does not have exactly two distinct factors, then the number is not prime.
Your friend says, "If a quadrilateral has a pair of opposite sides that are congruent and a pair of opposite sides that are parallel, then it is a parallelogram." What is your friend's error? Explain.
Choose the correct answer below.
A quadrilateral is a parallelogram if the pair of longer sides congruent and the pair of shorter sides parallel.
A quadrilateral is a parallelogram if one pair of opposite sides are congruent and parallel.
A quadrilateral is a parallelogram if one pair of opposite sides is congruent.
A quadrilateral is a parallelogram if one pair of opposite sides is parallel.
The radius of a circle is 8 cm. Find its circumference in terms of � π.
Answer:
16π
Step-by-step explanation:
Circumference = π X D (D = diameter = 2 X radius)
= π (2 X 8)
= 16π
9y − 3xy² − 4 +x
a) Give the
coefficient of y²?
b) Give the constant value of the expression
c) How many terms are there in the expression
a) The coefficient of y² is -3x.
b) The constant value of the expression is -4.
c) There are four terms in the expression: 9y, -3xy², -4, and x.
a) In the expression 9y − 3xy² − 4 + x, the coefficient of y² is the numerical value that multiplies y². In this case, the coefficient is -3x. It indicates that the term -3xy² has a variable part of y² and a coefficient of -3x.
b) The constant value of the expression refers to the term that does not have any variables attached to it. In this case, it is -4. The constant term remains the same regardless of the values of the variables. It does not depend on y or x.
c) The expression has four terms. A term is a group of variables and constants separated by addition or subtraction. In this case, the four terms are 9y, -3xy², -4, and x. Each term represents a separate component of the expression and can be individually simplified or manipulated.
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Can you match the correct expression to its expanded form and type the correct code?
Show Work Please
The matched form of the expressions are:
(x - 8)² → x² - 16x + 64
(x + 6) (x - 6) → x² - 36
(2x - 5) (2x + 5) → 4x² - 25
(3x + 1)² → 9x² + 6x + 1
(x + 4)² → x² + 8x + 16
Let's go through each expression and expand them:
(x - 8)²:
To expand this expression, we can use the formula (a - b)² = a² - 2ab + b². In this case, a = x and b = 8.
Expanding (x - 8)², we get:
(x - 8)² = x² - 2(x)(8) + 8²
= x² - 16x + 64
(x + 6) (x - 6):
To expand this expression, we can use the distributive property. Multiply each term in the first set of parentheses (x + 6) by each term in the second set of parentheses (x - 6):
(x + 6) (x - 6) = x(x) + x(-6) + 6(x) + 6(-6)
= x² - 6x + 6x - 36
= x² - 36
(2x - 5) (2x + 5):
Again, we use the distributive property to expand the expression:
(2x - 5) (2x + 5) = (2x)(2x) + (2x)(5) + (-5)(2x) + (-5)(5)
= 4x² + 10x - 10x - 25
= 4x² - 25
(3x + 1)²:
To expand this expression, we can use the formula (a + b)² = a² + 2ab + b². In this case, a = 3x and b = 1.
Expanding (3x + 1)², we get:
(3x + 1)² = (3x)² + 2(3x)(1) + 1²
= 9x² + 6x + 1
(x + 4)²:
Using the formula (a + b)² = a² + 2ab + b², where a = x and b = 4:
(x + 4)² = (x)² + 2(x)(4) + 4²
= x² + 8x + 16
These are the expanded forms of the given expressions.
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3. Estimate how many gallons of water you drink in a year.
The number of gallons of water that you drink in a year is 240.9 gallons.
We have to find the number of gallons of water that you drink in a year.
For that, first wee need to find the amount of water that you drink in a day.
Each person will drink water in a day in different amounts.
We can take an average of 2.5 liters that a man drink in a day.
Then
Amount of water drink in a year = 2.5 × 365
= 912.5 liters
Now we need to find the amount of water in gallons.
Convert liters in gallons.
1 liter = 0.264 gallons
So,
912.5 liters = 912.5 × 0.264 gallons
= 240.9 gallons
Hence the amount is 240.9 gallons.
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Fred Flintstone deposits $50 every month into an ordinary annuity. This account earn 12% compounded monthly. How much will be in his account after 17 months?
After 17 months, there will be approximately $970.25 in Fred Flintstone's account.
To calculate the amount in Fred Flintstone's account after 17 months, we can use the formula for the future value of an ordinary annuity. The formula is:
[tex]A = P \times [(1 + r)^n - 1] / r[/tex]
Where:
A stands for the annuity's projected value.
P = the monthly deposit amount
r is the annual percentage rate of interest.
n is the number of compounding periods in total.
In this case, Fred Flintstone deposits $50 every month (P = $50), the interest rate is 12% per year compounded monthly, which means the monthly interest rate is 12% / 12 = 1% or 0.01 (r = 0.01), and the total number of compounding periods is 17 (n = 17).
Now that these numbers have been substituted, we can determine the future value using the formula:
A = $50 × [tex][(1 + 0.01)^{17}- 1] / 0.01[/tex]
A = $50 ×[tex][1.01^{17} - 1] / 0.01[/tex]
Using a calculator or spreadsheet, we can evaluate 1.01^17 to be approximately 1.194051.
A = $50 × [1.194051 - 1] / 0.01
A = $50 × 0.194051 / 0.01
A ≈ $970.25
Therefore, after 17 months, there will be approximately $970.25 in Fred Flintstone's account.
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a data set has 9 values. The least value is 8, the greatest value is 20, and the meidian is 11.
Answer:
First, we arrange the values in ascending order. Given that the data set has 9 values, the median represents the middle value when the values are arranged in order.
In this case, the least value is 8 and the greatest value is 20. To find the median, we need to determine the middle value. Since there are an odd number of values (9), the median will be the value at the (9 + 1) / 2 = 5th position.
Arranging the values in ascending order: 8, x, x, x, 11, x, x, x, 20
From the given information, we know that the median is 11. Therefore, the middle value must be 11.
Arranging the values again: 8, x, x, x, 11, x, x, x, 20
Since the median is the middle value, the remaining values can be any numbers as long as they are greater than or equal to 8 and less than or equal to 20. There is no unique solution for the remaining values in the data set, as long as the conditions are met.
Here are some possible data sets that satisfy the given conditions:
There are many other possible data sets that satisfy the given conditions.
Find the x- and y-intercepts of the graph of -4x + 2y = 28. State each answer as
an integer or an improper fraction in simplest form.
x-intercept:
y-intercept:
The x- and y-intercepts of the graph are:
x-intercept: -7y-intercept: 14Finding the x- and y-intercepts of the graphFrom the question, we have the following parameters that can be used in our computation:
-4x + 2y = 28.
For the x-intercepts, we set y to 0
So, we have
-4x = 28
Evaluate
x = -7
For the y-intercepts, we set x to 0
So, we have
2y = 28
Evaluate
y = 14
Hence, the x- and y-intercepts of the graph are -7 and 14, respectively
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A [bond/stock] will pay income based on an interest rate, while a [bond/stock]
may give dividends to investors. Both interest income and dividends contribute to the
[cost/return/risk] on an investment.
I know the first one is bond, the second is stock, need help with the third!
A bond will pay income based on an interest rate while stock may give dividends to investors. Both interest income and dividends contribute to the return on an investment.
How does the return incorporate interest income and dividends?The return encompasses both interest income and dividends received by the investor. When investing in bonds, the income generated is in the form of interest payments which are typically fixed and predetermined based on the bond's coupon rate. The stocks provide the potential for dividends which are a portion of the company's profits distributed to shareholders.
Both interest income from bonds and dividends from stocks contribute to the overall return on the investment. We must note that the return on an investment can also be influenced by other factors such as capital gains or losses when buying or selling the asset.
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What if the area of the trapezoid help asap
Answer:
B
Step-by-step explanation:
the area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)
where h is the perpendicular height between the bases b₁ and b₂
the endpoints of b₁ are (- 2, - 2) and (8, - 2)
since the y- coordinates are equal then b₁ is the difference of the x- coordinates, that is
b₁ = 8 - (- 2) = 8 + 2 = 10
similarly for b₂ with endpoints (2, 3) and (6, 3) , then
b₂ = 6 - 2 = 4
h = 5 ( perpendicular distance between the bases ) , then
A = [tex]\frac{1}{2}[/tex] × 5 × (10 + 4) = 2.5 × 14 = 35 units²
It is expected that 30% of the criminals in our prisons are violent offenders, 65% are nonviolent, and 5% are actually innocent. A sample of 300 inmates showed that 90 were violent offenders, 200 were nonviolent, and 10 were innocent. At the .05 significance level, can we conclude that the observed frequencies are different than the expected frequencies?
Every day a new puzzle is downloaded into Ken's account. Right now, there are 27 puzzles in his account. The function
A
(
d
)
=
27
+
d
represents the relation between the number of puzzles,
A
, and the time,
d
, measured in days.
The function A(d) = 27 + d represents a linear relationship where the number of puzzles increases by one each day.
The given function A(d) = 27 + d represents the relation between the number of puzzles, A, and the time, d, measured in days.
According to the function, the initial number of puzzles in Ken's account is 27 (when d = 0). As each day passes (increasing d by 1), one additional puzzle is downloaded into his account.
For example, after 1 day (when d = 1), the number of puzzles would be A(1) = 27 + 1 = 28. After 2 days (when d = 2), the number of puzzles would be A(2) = 27 + 2 = 29, and so on.
In summary, the function A(d) = 27 + d represents a linear relationship where the number of puzzles increases by one each day.
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The highest scorer of the women's basketball championship was Jessica Bradley. She scored 109 more points than Tina Harner, her teammate. Together, Bradley and Harner scored 1575 points. How many points did each player score during the championship?
Answer:
tina harner scored 733 points
jessica bradley scored 842 points
Step-by-step explanation:
b + h = 1575
h + 109 = b
plug the second equation into the first
h + 109 + h = 1575
2h + 109 = 1575
subtract 109 from both sides to isolate the variable and its coefficinet
2h = 1466
divide both sides by 2 to get h
h = 733
For a standard normal distribution, find the following.
Express the probability as a decimal rounded to 4 decimal places.
P(-1.26
The probability of the normal distribution is 0.8961
Finding the probability of the normal distributionFrom the question, we have the following parameters that can be used in our computation:
P(-1.26 < z)
This can be expressed as
P(z > -1.26)
This means that area is to the right of z and is calculated by calculating the probability that the z-score is greater than -1.26
In other words, this is represented as
Probability = P(z > -1.26)
This can then be calculated using a statistical calculator or a table of z-scores,
Using a statistical calculator, we have the area to be
Probability = 0.89617
When this value is approximated, we have
Probability = 0.8961
Hence, the probability is 0.8961
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Question
For a standard normal distribution, find the following.
Express the probability as a decimal rounded to 4 decimal places.
P(-1.26 < z)
The Venn diagram below shows information about the number of items in sets T and V.
An item is chosen at random.
Given that P(TIV) = j
The value of x from the venn diagram if P(T | V) = 1/5 is 16
How to determine the value of x
From the question, we have the following parameters that can be used in our computation:
The venn diagram
From the venn diagram, we have the following probability values
P(T | V) = (x - 4)/(3x + x - 4)
Evaluate the like terms
So, we have
P(T | V) = (x - 4)/(4x - 4)
From the question, we have
P(T | V) = 1/5
This means that
(x - 4)/(4x - 4) = 1/5
When evaluated, we have
x = 16
Hence, the value of x is 16
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Question is in the image above.
plsss help urgent!!!
a. The simplified expression is determined as -4
b. The missing expression is determined as - ¹/₂.
c. The simplified expression is determined as - ⁸³⁷/₁₀₄, and - ⁴⁹/₂₅.
What is the simplification of the operation?The addition operations, subtraction operations and division operation is simplified as follows;
a. The given expression and its simplification;
- 1 + ( - 2) - (-3) - 4
= - 1 - 2 + 3 - 4
= -4
b. The given expression and its simplification;
-3 - ¹/₂ = - 3 + ?
-3 + 3 - ¹/₂ = ?
- ¹/₂ = ?
c. The given expression and its simplification;
1 ¹/₈ (- 7 ²/₁₃)
= ⁹/₈ x - ⁹³/₁₃
= - ⁸³⁷/₁₀₄
-3 ⁴/₁₅ ÷ (- 1 ²/₃)
= - ⁴⁹/₁₅ ÷ ( - ⁵/₃)
= - ⁴⁹/₁₅ × - ³/₅
= - ⁴⁹/₂₅
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100 Points! Algebra question. Photo attached. Please show as much work as possible. Thank you!
A. The comparison of the periods using the five number summary are
The 3rd Period has lower minimum and higher maximumThe quartiles shows that 7th period is less spreadThe 3rd Period has a lower medianB. The box and whisker plot of the periods is attached
A. How to compare the distributions of the periodsThe readings of the periods are given as
7th Period: 66, 72, 77, 78, 78, 80, 82, 84, 84, 87, 88, 88, 89, 89, 90 92, 92, 93, 94, 94 96, 963rd Period: 52, 60, 62, 64, 64, 65, 68, 71, 72, 74, 75, 76, 78, 79, 83, 84, 85, 88, 89, 93, 94, 97The distributions of the periods will be compared using the five-number summaries. This is because the five-number summaries give the following statistical measurements
MinimumLower Quartile, Q1MedianUpper Quartile, Q3MaximumFor the 7th Period, the summaries are
Minimum: 66Lower Quartile Q1: 79.5Median: 88Upper Quartile Q3: 92.25Maximum: 96For the 3rd Period, the summaries are
Minimum: 52Lower Quartile Q1: 64.75Median: 75.5Upper Quartile Q3: 85.75Maximum: 97B. How to create a box and whisker plot of the periodsThe box and whisker plot of the periods is added as an attachment
From the box and whisker plot attached, we can see the five-number summaries of the periods
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help please reply quickly with the answer
The total surface area for the cylinder in this problem is given as follows:
53π cm².
How to obtain the surface area?To obtain the surface area of a figure, we must add the areas of all the parts that compose the figure.
The cylinder in this problem is composed as follows:
Top circular base.Curved surface.Bottom circular base.The areas of each part are given as follows:
Top circular base -> 14π cm².Curved surface -> 25π cm².Bottom circular base -> 14π cm².Hence the surface area of the prism is given as follows:
14π + 25π + 14π = 53π cm².
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Sean tried to drink a slushy as fast as he could. He drank the slushy at a constant rate. There were originally 275275275 milliliters of slushy in the cup. After 131313 seconds, 210210210 milliliters of slushy remained.
How fast did Sean drink?
milliliters per second
How long did it take Sean to drink all the slushy?
seconds
Answer:
Below
Step-by-step explanation:
a. rate of drinks = 210/13 milliliters per second
b. 17.02 seconds
Eve is twice as old as her son, and the difference in their ages is 23 years. Find their
ages.
Answer:
Eve is 46 and her son is 23
Step-by-step explanation:
let x be the son's age then Eve is 2x. the difference in their ages is 23 , so
2x - x = 23 , that is
x = 23
then
Eve = 2 × 23 = 46 years
son = 23 years
What does this translation represent?
(x, y) - > (x + 2, y - 5)
a. left 2, down 5
b. right 2, Up 5 C.
:. Up 2, down 5
d. right 2, down 5
when does a farmer go to a drug store answer key
Farmers, like anyone else, may need to visit a drugstore for various reasons. One reason could be to obtain prescription medications if they fall ill or get injured. Additionally, over-the-counter medicines for minor ailments such as headaches, colds, and stomachaches can be found there. In addition, farmers may need to purchase first aid supplies like bandages, antibiotic ointment, and pain relievers in the event of injuries. Moreover, pharmacists can advise on various health topics, such as medication usage, health care, and injury prevention.
Farmers may visit a drugstore to buy pet medications, vitamins, supplements, baby products, beauty products like shampoo, conditioner, makeup, and personal care items such as deodorant, toothpaste, and soap.
C/2-2=1 what is the value of c
Answer:
c=6
Step-by-step explanation:
find a common denominator and multiply both sides by 2 to get c-4=2 then add 4 getting c=6
Erick, Mia, and Isabelle golfed 9 holes. Erick scored 10 more than Mia, and Isabelle scored 16 less than twice Mia's score. Use the drop-down menus to complete the statements about the expression that represents the scenario.
What does the expression x + x + 10 + 2x – 16 represent from the given scenario?
The expression "x + x + 10 + 2x - 16" is one that represents the sum of the total scores of all three players: Erick, Mia, and Isabelle.
The variable in the expression represent Mia's scoreThe expression in simplified form is 4x-6The constant in the simplified expression is -6What is the expression?
The expression can be broken down as:
The term "x" stand for Mia's score.The term "x + 10" stand for Erick's score, that is 10 and more than Mia's score.The term "2x - 16" stand for Isabelle's score, that is is 16 less than twice Mia's score.Therefore, if one can simplify the expression, one can be able get the sum of the scores of all three players who are Erick, Mia, and Isabelle.
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
What value of x satisfies this equation?
1.5(4) ^2x= 12
Round your answer to the nearest hundredth.
The value of x is ____?
The value of x in the equation 1.5(4)²ˣ is equal to 12 is 3/4 after equation the power of same base.
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
We have an equation:
⇒ 1.5(4)²ˣ is equal to 12
Now, We can simplify as;
⇒ 1.5(4)²ˣ is equal to 12
⇒ 1.5(4)²ˣ = 12
⇒ (4)²ˣ = 12/1.5
⇒ (4)²ˣ = 8
⇒ (2²)²ˣ = 2³
⇒ 2⁴ˣ = 2³
By comparing,
⇒ 4x = 3
⇒ x = 3 / 4
Thus, the value of x in the equation 1.5(4)²ˣ is equal to 12 is 3/4 after equation the power of same base.
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Find the area of the given figure below
Answer:
105.5mm²
Step-by-step explanation:
There are a rectangle and two triangles.
Rectangle
6x13=78
Big Triangle
1/2x4x10.75=21.5
Small Triangle
1/2x3x4=6
78+21.5+6=105.5
A curve has the equation
y=8/x+2x
(i) Find the dy/dx and d^2y/dx^2
(ii) Find the coordinates of stationary points and state, with a reason, the nature of each stationary point.
i. The equation shows that dy/dx is -8/x² + 2 and d²y/dx² is -2
ii. The curve has a local maximum at the point (-2, y) and the curve has a local minimum at the point (2, y).
How to explain the value(i) Finding dy/dx:
Given: y = 8/x + 2x
To find dy/dx, we'll differentiate each term with respect to x:
Differentiating 8/x with respect to x:
(d/dx)(8/x) = -8/x²
Differentiating 2x with respect to x:
(d/dx)(2x) = 2
Therefore, dy/dx = -8/x² + 2.
(ii) Finding d²y/dx²:
In order to find the second derivative, we'll differentiate dy/dx with respect to x:
Differentiating -8/x² with respect to x:
(d/dx)(-8/x²) = 16/x³
Differentiating 2 with respect to x:
(d/dx)(2) = 0
Therefore, d²y/dx² = 16/x³.
To find the coordinates of the stationary points, we need to solve the equation dy/dx = 0:
-8/x² + 2 = 0
Rearranging the equation, we have:
-8/x² = -2
-8 = -2x²
Dividing both sides by -2:
4 = x²
Taking the square root of both sides:
x = ±√4
Therefore, the stationary points occur at x = -2 and x = 2.
In order to determine the nature of each stationary point, we'll analyze the second derivative.
When x = -2:
d²y/dx² = 16/(-2)³ = 16/(-8) = -2
Since the second derivative is negative at x = -2, the nature of the stationary point is a local maximum.
When x = 2:
d²y/dx² = 16/(2)³ = 16/8 = 2
Since the second derivative is positive at x = 2, the nature of the stationary point is a local minimum.
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