Answer:
2.11, 2.25
Step-by-step explanation:
19/9
= 2.11
9/4
= 2.25
Hence the mistake is that both values are different as 19/9 is 2.11 and 9/4 is 2.24
Solve f(x)=-(x+1)^2+2
Answer:
y=−x^2−2x+1
Step-by-step explanation:
A parcel of land contains 80 acres. A developer has reserved 25% of the land for streets and green space. Applicable zoning regulations require a minimum of 9,500 square feet per residential lot. The number of permissible lots is
The developer can build a maximum of 275 residential lots on the land, given the zoning regulations and the reservation of 25% of the land for streets and green space.
First, we need to find out how much land the developer has reserved for streets and green space:
25% of 80 acres = 0.25 x 80 = 20 acres
Now, we need to subtract this from the total area to get the area available for residential lots:
80 acres - 20 acres = 60 acres
Next, we need to convert the area into square feet:
60 acres x 43,560 square feet/acre = 2,613,600 square feet
Finally, we can divide the available area by the minimum required area per lot to find the maximum number of permissible lots:
2,613,600 square feet ÷ 9,500 square feet/lot ≈ 275 lots
Therefore, the developer can build a maximum of 275 residential lots on the land, given the zoning regulations and the reservation of 25% of the land for streets and green space.
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1 poin
ALGEBRA: Sandra Woo delivers flowers. She earns $5.50 to deliver a small
arrangement and $8.25 to deliver a large arrangement. Last week she
made 52 deliveries and earned a total of $343.75. How many LARGE
arrangements did she deliver? *
Answer:
41 large deliveries and 1 small delivery
Step-by-step explanation: Multiply 8.25 x 41 = 338.25
Then take 338.25 and add 5.50 and you should get 343.75
Shape a is enlarged to give shape b a) what is the scale factor of the enlargement? b) mark with a cross the centre of enlargement
The scale factor of the enlargement will be 3. Then the center of enlargement is marked in the diagram.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
Shape A is enlarged to give shape B.
Then the scale factor of the enlargement will be
⇒ 3 / 1
Then the center of enlargement is marked in the diagram.
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If the Canadian dollar buys 82¢ in US currency, what would it cost, in Canadian dollars to buy a scooter advertised for $164. 00 in the USA?
HELP ME PLEASE
Answer: 200
Step-by-step explanation:
1 Canadian dollar buys 82c in US
1 dollar = 100c
=> 100 c Canadian = 82c in US
=> 100 Canadian dollar buys 82 dollar in US
Canadian dollar required to buy 82 dollar in US = 100
=> Canadian dollar required to buy 1 dollar in US = 100/82
=> Canadian dollar required to buy 164 dollar in US = 164 x 100/ 82
= 2 x 100
= 200 $
cost 200 in Canadian dollars to buy a Walkman advertised for $164.00 in the USA
Simplify.
410 x 45 ÷ 49 = 4[?]
Hello !!
kᵃ x kᵇ = kᵃ⁺ᵇ
kᵃ ÷ kᵇ = kᵃ⁻ᵇ
4¹⁰ x 4⁵ ÷ 4⁹
= 4¹⁰⁺⁵ ÷ 4⁹
= 4¹⁵ ÷ 4⁹
= 4¹⁵⁻⁹
= 4⁶
the hands of a clock form a 150° angle. what time could it be
The hands of a clock form a 150° angle, indicating that the time could be approximately 5:00.
When the minute hand and the hour hand of a clock form an angle, it represents a specific time on the clock face. In a standard clock, the hour hand completes one full rotation in 12 hours, while the minute hand completes one full rotation in 60 minutes. The hour hand moves at a slower pace than the minute hand.
To determine the time when the hands form a 150° angle, we can divide the clock face into 12 equal parts, each representing 30° (360°/12). Since the hands are forming a 150° angle, it means they are 5 parts (5 x 30°) away from each other.
If we consider the minute hand as the reference point, it is currently at the 10-minute mark (2 parts away from the 12:00 position), indicating that it has moved 50% of the distance between 10 and 11. Therefore, the minute hand is pointing at 2, and since it moves 6° per minute (360°/60), it has covered 60°.
Next, we determine the position of the hour hand. Since it is 5 parts away from the minute hand, it is also pointing at the number 2, representing 2 hours. However, the hour hand moves at a slower pace, covering 30° per hour (360°/12), which is equivalent to 0.5° per minute. Therefore, in the time it took for the minute hand to move 60°, the hour hand moved 30° (60° x 0.5°).
By adding up the angles covered by both hands, we have 60° (minute hand) + 30° (hour hand) = 90°. This leaves us with a remaining 60° for the hands to form a 150° angle.
To determine how much time the remaining 60° represent, we can use proportions. If 30° represents one hour, then 60° represents two hours. Adding this to the initial 2 hours, we get a total of 4 hours.
Combining the hour and minute readings, we conclude that the clock is indicating approximately 4:00 or 5:00.
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The speech and science clubs at a high school are both trying to get more involved in their community this year. Currently, they are planning fundraisers for a local nonprofit organization.
The speech club is selling calendars for $12 each. It originally had to pay $150 in printing fees, and the members plan to sell 10 calendars each day.
The science club is offering individual tutoring sessions for $15 per session. The club has no start-up costs, and plans to provide 6 sessions per day.
If x represents the number of days from the start of the fundraiser, what equations can the clubs use to find the total estimated amount each club will raise, y?
Answer:
here you go!!
Speech club: y = 120x+-150
Science club: y = 90 x
What is algebraic expression?A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11
• The speech club is selling calendars for $12 each. It originally had to pay $150 in printing fees, and the members plan to sell 10 calendars each day. [ 12*10 -150]
• The science club is offering individual tutoring sessions for $15 per session.[6*15]
The club has no start-up costs, and plans to provide 6 sessions per day.
Speech club: y = 120x+-150
Science club: y = 90 x
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I NEED CORRECT ANSWERS FOR THESE THREE QUESTIONS ASAPPP FOR 25 POINTS
Answer:
\(1) y = - \frac{3}{2} x + 4\)
\(2)y = x + 5\)
\(3)y = 4 + 5x\)
Please help me w this question! :)
Answer:
y = 10
Step-by-step explanation:
y = 2(2) + 6
y = 4 + 6
y = 10
Answer:
Y = 10
Step-by-step explanation:
if x = 2,
Y = 2x2 + 6
Y= 4 + 6
Y = 10
Performance measures dealing with the number of units in line and the time spent waiting are called
A. queuing facts.
B. performance queues.
C. system measures.
D. operating characteristics.
Performance measures dealing with the number of units in line and the time spent waiting are called D. operating characteristics.
Operating characteristics are performance measures that provide information about the operational behavior of a system. In the context of queuing theory, operating characteristics specifically refer to measures related to the number of units in line (queue length) and the time spent waiting (queueing time) within a system. These measures help assess the efficiency and effectiveness of the system in managing customer or job arrivals and processing.
The number of units in line is an important indicator of how congested a system is and reflects the amount of work waiting to be processed. By monitoring the queue length, managers can determine if additional resources or adjustments to the system are required to minimize customer wait times and enhance throughput.
Similarly, the time spent waiting, often referred to as queueing time, measures the average or maximum amount of time a customer or job must wait before being serviced. This measure is crucial in assessing customer satisfaction, as excessive wait times can lead to dissatisfaction and potential loss of business.
Operating characteristics provide quantitative insights into these key performance indicators, allowing organizations to make informed decisions regarding resource allocation, process improvements, and service level agreements.
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Zach bought a car for $20,000. He
paid a $5,000 down payment and
will pay $450 per month for 5
years. What type of liability is this
for Zach?
A. liquid
B. long-term
C. short term
D. budget
Answer:
The correct answer is B. Long-term.
Step-by-step explanation:
Since Zach has bought a car for $ 20,000 paying a down payment of $ 5,000 and monthly payments of $ 450 per month for 5 years, he will be paying a total of $ 32,000 for that car (5,000 + 450 x 12 x 5). Thus, the responsibility that Zach has incurred forces him to maintain his monthly payment obligation for 5 years, thus becoming a long term liability.
Every Sunday, Tara has breakfast at her grandparents' house. Tara is excited this weekend because her grandma is making her favorite food, giant pancakes! Grandma makes a really giant pancake and cuts it into 8 equal pieces. Tara eats 7 pieces and her grandma eats 1 piece.
What fraction of the giant pancake does Tara eat?
Answer:
7/8
Step-by-step explanation:
because the are 8 pieces in the entire circle and Tara eats 7 out of 8 of them
. which interval describes all values of x for which the function f(x) = 2 sin–1(2x) is defined?
The correct option for given trigonometric function is C.
What are trigonometric functions?
Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trigonometric functions. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant.
The angles of sine, cosine, and tangent are the primary classification of functions of trigonometry. And the three functions which are cotangent, secant and cosecant can be derived from the primary functions.
Now,
For f(x)=2sin^-1()2x
the value of x can be in range {-π/2,π/2}
because sine values are in range {-1,1} for given values of x.
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Right question is provided in image.
What is the value of x? Responses 3 12 6√2 6
Applying the sine ratio, the value of x is calculated as: x = 6.
How to Find the Value of x Using the Sine Ratio?The sine ratio is part of the trigonometric ratios that is used to solve a right triangle, which is expressed as:
sin ∅ = opposite side length / hypotenuse length
Given the following:
Reference angle (∅) = 45°Opposite length = 6√2Hypotenuse length = xApply the sine ratio to find the value of x:
sin 45 = 6√2/x
Multiply both sides by x
sin 45 × x = 6√2
Divide both sides by sin 45:
sin 45 × x / sin 45 = 6√2/sin 45
x = 6√2 / √2/2
x = 6√2 × 2/√2
x = 12/2
x = 6
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.). What is the probability of flipping a coin and having
it land on “Tails”? (write your answer in fractional
form, decimal form, and as a percentage)
Fraction:
Decimal:
Percent:
Answer:
its 50%,1/2,0.5
Step-by-step explanation:
14 less than 6 multiplied by a number
Answer:
6n - 14
Step-by-step explanation:
6n - 14?
6 times a number (6n) minus 14 (-14)
put together = 6n - 14
Please help I need this
Answer:
1/14xy(x²+3y)
Step-by-step explanation:
the first common factor is;
1/14 and xy
=1/14xy(x²+3y)
a walking path BE in a park intersects intersects two sides of the park at their midpoints. You walk from point D to E, E to B, from B to C, and back to point D. How many yards did you walk?
Answer:
Total distance covered = 436 yards
Step-by-step explanation:
Walking path BE joins the midpoints B and E of the sides AC and AD.
By midsegment theorem,
"Line joining midpoints of two sides of a triangle is parallel and measure half of the third side"
m(BE) = \(\frac{1}{2}[m(CD)]\)
CD = 2(BE)
CD = 2(74) = 128 yd
From starting point D,
DE = 107 yd
EB = 74 yd
BC = \(\frac{254}{2}\)
= 127 yd
CD = 128 yd
Total walking distance = DE + EB + BC + CD
= 107 + 74 + 127 + 128
= 436 yd
Total distance covered = 436 yards
Answer:
456
Step-by-step explanation:
107
74
254/2 =127
74x2=148
107+74+127+148=456
can you give me a real-world problem that involves multiplying a fraction and a whole number?
Answer:
Rishi spent 3/4 of an hour for 2 days working on his science project . kyle spent 1/4 of an hour for 6 days working on his science project. who spent more time working on his science project.
Step-by-step explanation:
rishi and kyle spent the same amount of time.
6/4 and 6/4 hours
I'm having trouble with this equation: [(3+5)⋅2−5]⋅3. Could you guys help?
Answer:
33
Step-by-step explanation:
if you are looking for the simplified expression
f(x) = (x - 1)²
Helpppp!
Answer:
x = 1
Step-by-step explanation:
f(x) = (x - 1)²
f(x) = (x -1)(x - 1)
*Note: to find zeros set your equation equal to zero
x - 1 = 0
x = 1
*Since both quantities are the same x = 1 is your only zero.
Simplify the expression c^-6d^4/c^-16d^14
Answer:
c^10 d^18
Step-by-step explanation:
Graph y=3x+2.
It's for math and I need h e l p
A graph showing an increase in sales over time would have an)
a. positive slope
C.
undefined slope
b. negative slope
d. slope of 0
Answer:
A positive slope
Step-by-step explanation:
If sales are increasing then the income should increaseing and positive.
Work in groups of two to three (If possible). For each of the activities described have the required number of people in your group (usually 1) perform the activity as the others observe. Following the performance and observation, record what was seen. Make sure that you understand the activity prior to performance. The observers should choose their positions carefully with reference to the planes of motion.
Laboratory Report - Reflexes
1. Long Jump - perform 2 trials of each of these jumps in turn. Record the relative length of each jump
(which jumps are longer than others).
Assign a rank order by distance:
_____a. Use a bobbing motion with the knees and arms.
_____b. Start the jump from a position of deep knee flexion, with no knee motion prior to the start of the jump.
_____c. Start the jump with the knees fully extended, using no knee motion.
a. Jump with a bobbing motion: Shortest jump b. Jump from deep knee flexion: Intermediate jump
c. Jump with fully extended knees: Longest jump ,In the long jump activity, three different jumping techniques were observed:
a) The bobbing motion involved bending and extending the knees and arms during the jump.
b) Starting from deep knee flexion meant initiating the jump from a position with knees bent and no motion prior to the jump.
c) Starting with fully extended knees involved jumping with the knees straight and no motion before the jump. During the performance, the lengths of each jump were measured. Trial results consistently indicated that the jump with the bobbing motion had the shortest length, while the jump starting from deep knee flexion had an intermediate length. The jump with fully extended knees consistently achieved the longest distance.
The observations reveal that starting the jump with fully extended knees and no knee motion results in the longest jump. The bobbing motion with knee and arm movements leads to the shortest jump. Deep knee flexion position falls between the two in terms of jump length.
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in a manufacturing process, a random sample of 36 manufactured bolts has a mean length of 3 inches with a standard deviation of .3 inches. what is the 99 percent confidence interval for the true mean length of the manufactured bolt?
The 99% confidence interval for the true mean length of the manufactured bolt is (2.9177, 3.0823)
Here, we need to construct a 99% confidence interval for population mean (μ) is given by
μ = x + Zα/2 * σ/√n or μ = x - Zα/2 * σ/√n
where, μ = population mean
x = sample mean
= 3 inches
σ = population standard deviation
= 0.3 inches
Zα/2= z score for a two tailed test at level of significance α = 2.576( for a 99% confidence level)
So, the upper limit would be,
μ = 3 + 1.645 * (0.3/√36)
μ = 3 + 1.646 * (0.3/6)
μ = 3.0823
And the lower limit would be,
μ = 3 - 1.645 * (0.3/√36)
μ = 3 - 1.646 * (0.3/6)
μ = 2.9177
Hence, the 99% confidence interval is (2.9177, 3.0823)
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Albert claims that −6 is the greatest integer solution of the inequality 3x−1≤35+9x. Solve the inequality to show if Albert is correct or not.
Answer:
albert einstein
Step-by-step explanation:
9 squared =3 to the x power
Therefore, the solution to the equation 9 squared = 3 to the x power is x = 4.
What is equation?An equation is a mathematical statement that asserts the equality of two expressions. In other words, an equation states that two quantities are equal to each other. Equations are written using an equal sign (=) between two expressions.
Here,
To solve for x in the equation 9 squared = 3 to the x power, we can use the property that states that aᵇ = c is equivalent to log_a(c) = b. Using this property, we can take the logarithm of both sides of the equation:
log_3(9 squared) = log_3(81)
On the left side, we can simplify 9 squared as 81, so we have:
log_3(81) = x
To solve for x, we can use the fact that log_3(81) is the exponent to which 3 must be raised to get 81. In other words, x is the power to which 3 must be raised to get 81. We know that 3⁴ = 81, so:
x = 4
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HELP HELP HELP
Quick algebra 1 question for 50 points!
1. Provide a brief overview of graphing a linear equation using slope.
2. Create 2 original problems and solve it using the graphing a linear equation using slope method, show your work as you solve the problem and explain each step.
The standard equation of a straight line is given by y = mx + b, where m is the slope (rate of change) and b is the y intercept of the line.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The standard equation of a straight line is given as:
y = mx + b
Where m is the slope (rate of change) and b is the y intercept of the line.
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