the answer is b ............
. A rectangle has its base on the x-axis and its upper two vertices on the semi-circle y = V1 - 32. What is the largest area the rectangle can have? 1 6 1
The largest area the rectangle can have is -1024 square units.
To solve the given problem, follow the steps given below:
Step 1: Sketch the given graph on a coordinate plane as shown below:
Step 2: Let's assume that the base of the rectangle is x units and its height is y units.
Step 3: As the base of the rectangle is on x-axis, we have the length of the base as the x-coordinate of the upper two vertices of the rectangle.
Now, the x-coordinate of the upper two vertices of the rectangle lie on the given semicircle whose equation is y = V1 - 32.
So, we can write:
y = V1 - 32x^2 = (y + 32)^2 ⇒ x^2 = y^2 + 64y + 1024
Step 4: Now, we can write the area of the rectangle as: A = base × height= x × y
Using the value of x from equation (1), we get: A = (y^2 + 64y + 1024)1/2 y
So, we have an equation for area in terms of y. Let's differentiate it with respect to y to find the maximum value of A. dA/dy = (y^2 + 64y + 1024)-1/2 (2y + 64)
By equating dA/dy = 0, we get: 2y + 64 = 0y = -32
Substituting the value of y in equation (2), we get:x^2 = 1024 ⇒ x = ±32
The given rectangle lies in the first quadrant.
Hence, the length of the base of the rectangle is x = 32 units.
So, we have the dimensions of the rectangle as length = 32 units and breadth = height = y = -32 units.
However, as the length and breadth of the rectangle cannot be negative, we cannot consider the negative value of y.
Therefore, the maximum area of the rectangle is: A = base × height= 32 × (-32)= -1024 sq. units
Hence, the largest area the rectangle can have is -1024 square units.
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Suppose that y varies directly with x and y = 3 when x = 9. What is y when x = 18?
Answer:
y = 6
Step-by-step explanation:
Use the direct variation equation, y = kx
Plug in y = 3 and x = 9, and solve for k
y = kx
3 = k(9)
1/3 = k
So, the equation is y = 1/3x
Plug in 18 as x and solve for y
y = 1/3x
y = 1/3(18)
y = 6
So, when x = 18, y = 6
Find the length of the side labeled x. Round intermediate values to the nearest 10th. Use the rounded values to calculate the next value. Round your final answer to the nearest 10th
Answer:
16.0(?)
Step-by-step explanation:
I’m not really sure if it’s correct. But I’m assume it’s correct.
Find the exact value of tan A in simplest radical form
Answer:
12.68 de
Step-by-step explanation:
Need someones help on this!
Answer:
x^3
Step-by-step explanation:
quotient property of exponents
I think the answer is c. x^3
Match the word to its description. The difference between the lowest and highest value 1. mode The middle value 2. mean 3. median The most frequent value PP 4. range The average
Answer:
range
Step-by-step explanation:
The difference between the lowest and the highest number is called the range. The middle value is the median (it's in the "mid"dle, median) The mean is the average. And the mode is the most frequent value.
the difference between a low-cost provider strategy and a focused low-cost strategy is
The difference between a low-cost provider strategy and a focused low-cost strategy lies in their scope and target market. A low-cost provider strategy aims to achieve a cost advantage over competitors while targeting a broad market segment.
A low-cost provider strategy involves offering products or services at a lower cost compared to competitors while targeting a broad customer base. The focus is on achieving economies of scale, operational efficiencies, and cost reduction across the value chain to deliver products or services at competitive prices. This strategy aims to attract a large customer base through cost advantages and can be employed in various industries.
In contrast, a focused low-cost strategy narrows down the target market to a specific segment or niche. Instead of targeting a broad market, the company focuses on serving a particular group of customers with specialized needs or preferences. By understanding the unique requirements of this specific segment, the company can tailor its offerings and operations to provide lower costs, thereby gaining a competitive edge within that niche market. This strategy allows for a more concentrated effort and customization to cater to the specific demands of the chosen market segment.
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Melanie's dance class was 100 minutes long. If 1/8 of the time was spent
stretching, how many minutes were spent stretching?
Answer:
12.5 minutes
Step-by-step explanation:
Multiply 1/8 by 100. Convert 25/2 to a decimal by dividing 25 by 2. The answer is 12.5 minutes.
At the football game they sold $4 pizzas and $2 sodas which made the school$260 the number of Sodas sold was five more than three times a number of pizzas sold determine the amount of pizza and sodad sold
[tex]\Huge \textsf{Answer:\fbox{25 pizzas and 80 sodas sold.}}}[/tex]
[tex]\Huge \textsf{Step-by-step explanation}[/tex]
[tex]\LARGE \bold{\textsf{Step 1: Assign Variables}}[/tex]
[tex]\textsf{Let's assign a variable for the number of pizzas sold, we will call it \textit{"p."}}\\\textsf{And we will assign the variable\textit{"s"} for the number of sodas sold.}[/tex]
[tex]\LARGE \bold{\textsf{Step 2: Write equations based on the given information}}[/tex]
[tex]\large \bold{ \textsf{From the problem, we know that:}}[/tex]
[tex]\bullet \textsf{The school made \$260 from seeling 4 pizzas and 2 sodas.}\\\\\bullet \textsf{The number of sodas sold was five more than three times the number of pizzas sold.}[/tex]
[tex]\large \bold{ \textsf{We can use this information to write two equations:}}[/tex]
[tex]\text{Equation 1} : 4p + 2s = 260 \text{(since each pizza costs \$4 and each soda costs \$2)}[/tex]
[tex]\text{Equation 2} : s = 3p + 5 \text{(The number of sodas sold was 3 times the number of}\\\text{pizzas sold plus 5)}[/tex]
[tex]\LARGE \bold{\textsf{Step 3: Solve the system of equations}}[/tex]
[tex]\large \textsf{To solve the system of equations, we can substitute Equation 2 into Equation}\\\textsf{1 for \textit{"p"}:}[/tex]
[tex]\bullet \textsf{4\textit{p} + 2\textit{s} = 260}\\\\\bullet \textsf{4\textit{p} + 2(3\textit{p} + 5) = 260}[/tex]
[tex]\large \textsf{Simplifying this expression gives us:}[/tex]
[tex]\textsf{10\textit{p} + 10 = 260}[/tex]
[tex]\large \textsf{Subtracting 10 from both sides:}[/tex]
[tex]\textsf{10\textit{p} = 250}[/tex]
[tex]\large \textsf{Dividing both sides by 10}[/tex]
[tex]\textsf{\textit{p} = 25}[/tex]
[tex]\large \textsf{Now that we know the number of pizzas sold, we can use Equation 2 to find}\\\textsf{the number of sodas sold:}[/tex]
[tex]\bullet \textsf{\textit{s} = 3\textit{p} + 5}\\\\\bullet \textsf{\textit{s} = 3(25) + 5}\\\\\bullet \textsf{\textit{s} = 75 + 5}\\\\\bullet \textsf{\textit{s} = 80}[/tex]
[tex]\large \textsf{So, 25 pizzas and 80 sodas were sold.}[/tex]
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Solve the problem. Round your answer to one decimal place. Human body temperatures are normally distributed with a mean of 98.20°F and a standard deviation of 0.62°F. Find the temperature that separates the top 7% from the bottom 93%. Round to the nearest hundredth of a degree. Select one: О 99.12°F O 97.28ºF 98.78°F O 98.40°F
The temperature that separates the top 7% from the bottom 93% is 98.78°F.
To solve this problem, we need to use the concept of the normal distribution. In a normal distribution, data is symmetrically distributed around the mean, with the majority of values falling within a certain range determined by the standard deviation. In this case, we are given a normal distribution of human body temperatures with a mean of 98.20°F and a standard deviation of 0.62°F.
To find the temperature that separates the top 7% from the bottom 93%, we need to locate the value on the distribution that corresponds to the 93rd percentile. The 93rd percentile represents the point below which 93% of the data falls. Conversely, the top 7% of the data lies above this point.
Using statistical tables or a calculator, we can determine the z-score corresponding to the 93rd percentile. The z-score measures the number of standard deviations a given value is away from the mean. Once we find the z-score, we can use it to calculate the temperature value.
In this case, the z-score corresponding to the 93rd percentile is approximately 1.475. We can then use the z-score formula: z = (x - mean) / standard deviation. Rearranging the formula to solve for x (the temperature value), we get x = (z * standard deviation) + mean. Plugging in the values, we find x = (1.475 * 0.62) + 98.20 = 98.78°F.
Therefore, the temperature that separates the top 7% from the bottom 93% is approximately 98.78°F. This means that 93% of human body temperatures are below 98.78°F, while the top 7% are above this value.
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CAN SOMEONE HELP ME PLEASE
The density of mercury is 13.5 times greater than the density of water. If you were to build a barometer that used water instead of mercury to record the standard pressure at sea level, what would be the height of that barometer? Assume that the mercury barometer is 76 centimeters, or 29.92 inches, long (this is the standard atmospheric pressure at sea level). View Available Hint(s) The density of mercury is 13.5 times greater than the density of water. If you were to build a barometer that used water instead of mercury to record the standard pressure at sea level, what would be the height of that barometer? Assume that the mercury barometer is 76 centimeters, or 29.92 inches, long (this is the standard atmospheric pressure at sea level). 110.29 centimeters (43.42 inches) 5.63 centimeters (2.21 inches) 89.5 centimeters (35.24 inches) 1026 centimeters (403.92 inches)
Answer:
h = 403.92in or 1026cm
Step-by-step explanation:
Given
Let x represent the density of mercury, and y the density of water.
[tex]y = 13.5x[/tex]
[tex]Mercury\ barometer =76cm[/tex] or [tex]Mercury\ barometer =29.92in[/tex]
Required
Determine the height of the barometer
At standard atmospheric pressure, the relationship between the mercury barometer and the height (h) of the barometer is:
[tex]h = 13.5 * Mercury\ barometer[/tex]
In centimeters, we have:
[tex]h = 13.5 * 76cm[/tex]
[tex]h = 1026cm[/tex]
In inches, we have:
[tex]h = 13.5 * 29.92in[/tex]
[tex]h = 403.92in[/tex]
Jess is having a private party at the bowling alley. The party costs $99 plus %3 per person who attends.
Answer:
Total cost= 99 + 2.97x
Step-by-step explanation:
Giving the following information:
Fixed cost= $99
Variable cost= 3% per person
First, we need to calculate the 3% of 99:
Unitary variable cost= 99*0.03= $2.97
Now, we establish the total cost structure:
Total cost= 99 + 2.97x
x= number of people in attendance
Finally, suppose 200 people attend the party:
Total cost= 99 + 2.97*200
Total cost= $693
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
-9p+3
plz mark me as brainliest
what is the distance between -2 1/2, -5 3/4
Answer:
Step-by-step explanation:
it's kinda confusing b/c of the minus signs.. huh... but -5 is less than -2 sooo
start with
-2 1/2 - (-5 3/4 )
=5 3/4 - 2 1/2
=5 3/4 - 2 2/4
=23/4 - 10/4
=13/4
there you go... :)
if you want it back in proper fractions
3 1/4
A local store owner is interested in finding the mean age of her customers. She randomly surveys 82 customers and records their age. Identify the population, sample, variable, type of variable, parameter, and statistic.
Population: The set of all possible customers in the store.
Sample: The 82 customers randomly surveyed.
Variable: Age of the customers Type of variable: Quantitative parameter
Parameter: The mean age of all the customers in the store.
Statistic: The sample mean age of the 82 customers surveyed.
Analysis: The mean age of all customers is a parameter since the store owner is interested in knowing the mean age of all the customers that come to her store.
The store owner will be interested in collecting data on all the customers who come to her store. Since this will be difficult, she will sample some customers instead. The store owner randomly surveyed 82 customers, which is the sample size. The variable of interest is the age of the customers. This is a quantitative variable since it is measured using numerical values. The sample mean age of the 82 customers surveyed is a statistic.
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The fastest clapper in the world can clap 720 times in 60 seconds. What is the unit rate? *
Answer: 12 claps per second
Step-by-step explanation: divide both by 60 and yield 12 times -1 second
consider the function f(x)=x−2x 1. (a) find the domain of f(x).
The domain of the function f(x) = x² - 2x + 1 is all real numbers, which is denoted as (-∞, +∞).
To find the domain of the function f(x) = x² - 2x + 1, we determine the set of all possible values for x that make the function well-defined.
The given function is a polynomial-function, and polynomial functions are defined for all real numbers. So, the domain of f(x) = x² - 2x + 1 is the set of all real numbers, which can be represented as (-∞, +∞).
It means that any real-number can be substituted into the function, and it will give a valid output. There are no limitations on the possible values of x in this case.
Therefore, the domain is all real numbers.
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The given question is incomplete, the complete question is
Find the domain of the function f(x) = x² - 2x + 1.
The first pentagon is dilated to form the second pentagon.
Drag and drop the answer to correctly complete the statement.
Will Mark Brainlist =)
Answer:
2
Step-by-step explanation:
Answer:
2 is answer i promise
Step-by-step explanation:
The checkbook balance of Hercher Company is $1,955.81. The bank statement shows a balance of $3,142.11. The statement shows interest earned of $31.55 and a service charge of $22.80. There is a deposit in transit of $3,991.88. In further analyzing the statement it was discovered that the bank collected a note for $3,100.000. Hercher Co. forgot to deduct a check for $850 during the month. There is a check outstanding for $2,919.43. What is the reconciled balance?
Answer:
Reconciled balance $3,142.11
Step-by-step explanation:
The computation of the reconciled balance is shown below:
Debit balance as per check book $1,955.81
Add: interest earned $31.55
Collection of note $3,100
Outstanding checks $2,919.43
Less: service charges -$22.80
Less: deposit in transit -$3,991.88
Less: forgot a check -$850
Reconciled balance $3,142.11
The same would be relevant and considered too
Craig opened a savings account and deposited $600.00 as principal. The account earns 2%
interest, compounded annually. What is the balance after 6 years?
Use the formula A =
1 +
(starting amount), r is the interest rate expressed as a decimal, n is the number of times per
year that the interest is compounded, and t is the time in years.
Round your answer to the nearest cent.
Answer:
the answer is 675.70 or 4,504.33
Step-by-step explanation:
the right answer is that
I just need this and that it
what is the volume of the prism 8 1/2 m 7 m 4 m
Answer:
Step-by-step explanation:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.
Answer:
Step-by-step explanation:
Volume of prism = length * width * height
= 8 1/2 * 7 * 4
[tex]= \frac{17}{2}*7*4\\\\=17 * 7 * 2\\\\= 238 cubic m[/tex]
HELP
Is x+7 a factor of p(x)
Answer:
No
Step-by-step explanation:
Because the remainder is not zero
What is the area of the triangle in square yards?
6 yd.
15 3/4 yd.
Answer:
6x15 2/4 yd dividedby 2
Step-by-step explanation:
do the math and u get ur answer
Using the standard Normal distribution tables, what is the area under the standard Normal curve corresponding to Z<0.75? a.0.7223 b.0.7734 Oc 0.9127 d.0.6915 QUESTION 26 Given the least squares regression line y-3 x-3, which of the following is true? a. The relationship between x and y is positive. b. The relationship between x and y is negative. c. As x decreases, y increases. d. None of the answer options is correct.
The least squares regression line y-3 x-3 is (a) "The relationship between x and y is positive."
To get the area under the standard Normal curve corresponding to Z < 0.75, we can use the standard Normal distribution tables. The tables provide the cumulative probability up to a given Z-score.
Looking up the value of 0.75 in the standard Normal distribution table, we find that the corresponding area is approximately 0.7734.
Therefore, the answer is (b) 0.7734.
Regarding the least squares regression line y = 3x - 3, we can make the following observations:
a. The relationship between x and y is positive: This is true because the coefficient of x (3) is positive, indicating a positive relationship between x and y.
b. The relationship between x and y is negative: This is false because the coefficient of x (3) is positive, indicating a positive relationship between x and y.
c. As x decreases, y increases: This is false because as x decreases, y will also decrease based on the equation y = 3x - 3.
d. None of the answer options is correct: This is false because option (a) "The relationship between x and y is positive" is correct.
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The labor charges for mechanics is $54 an hour. The
standard deviation is $4 an hour. Find the minimum percentage of
data values that lie within the range of $48 to $60 an hour for the
mechanic's labo
The minimum percentage of data values that lie within the range of $48 to $60 an hour for the mechanic's labor is 86.64%.
To find the minimum percentage of data values that lie within the range of $48 to $60 an hour for the mechanic's labor.
We need to calculate the z-scores for both values and use a z-table to find area under the normal curve between those two scores.
First, we calculate the z-score for $48 an hour:
z = (48 - 54) / 4 = -1.5
Next, we calculate the z-score for $60 an hour:
z = (60 - 54) / 4 = 1.5
Using a standard normal distribution table, we can find that the area under the curve between -1.5 and 1.5 is approximately 0.8664 or 86.64%.
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Puzzle One
Determine the correct vocabulary word(s) in the questions below. To break the code of puzzle
one you will need to determine the third letter of the word in EACH space and then put those
letters in alphabetical order to break the code. For example, if the first blank was MODE the
letter you would use to help you break out would be D.
*Hint: Use the word bank to help you, some words may be used more than once and some may
not be used at all.
1) The
tells you how the data is spread out
of the data.
for
2) The might be a better representation of the data if there are
outliers that skew the data.
3) To find the
of
you add the numbers and
by the quantity
distance between
4) The Mean Absolute Deviation (MAD) is the
each
point and the
MODE
MEDIAN
MEAN
RANGE
NUMBERS
QUARTILE
Word Bank:
MULTIPLY
AVERAGE
DIVIDE
SUBTRACT
INNER
DATA
FIFTY
TWENTY
PERCENT
Code:
Math in the Mid 2019
MI
Answer:
Ошйжй Щ отдйдй шубу Ц дцдць о о
Step-by-step explanation:
HELP PLEASE
Marcus works at the grocery store. He earns 8.75 per hour. Last week he worked 6.5 hours. How much did Marcus make last week?
Find m QRS? who can help me?
Answer:
m<PRS+m<PRQ=m<QRS.
17 + 17 = 34
m<QRS=34