Answer:
15.625 cubed for s cubed; 62.5 feet for parking space I think don't hate me if I'm wrong.
Step-by-step explanation:
for s cubed;
(2.5×2.5)×2.5=15.625
for parking space:
(15.625×2)+(15.625*2)=62.5
Select the correct answer.
Which relation is a function?
A. {(2,3), (1,5), (2,7)}
B. {(-1,5), (-2,6), (-3,7)}
C. {(11,9), (11,5), (9,3)}
D. {(3,8), (0,8), (3,-2)}
Answer:
The answer is option B.
Explanation:
A rule that uniquely associates elements of one set A with the elements of another set B and each element in set A maps to only one element in set B.
Each element from X is related to only one element in Y. But it is okay for two different elements in X to be related to the same element in Y. So its still a function. Let suppose
{ (1,a) , (2, b) , (2, c) , (3, d) }
This relation is not a function from X to Y because the element 2 in X is related to two different elements, b and c.
Find the x-intercept and the y-intercept of the graph of the equation. Do not graph the equation. -4x + 4y = 8x - intercept = y - intercept =
Given the equation:
\(-4x+4y=8\)We will find the intercepts of the given equation.
The x-intercept is the value of (x) when y = 0
So, substitute with y = 0 and solve the equation to find (x)
\(\begin{gathered} -4x+4(0)=8 \\ -4x=8 \\ x=\frac{8}{-4}=-2 \end{gathered}\)So, the x-intercept = -2
The y-intercept is the value of (y) when x = 0
So, substitute with x = 0 and solve the equation to find (y):
\(\begin{gathered} -4(0)+4y=8 \\ 4y=8 \\ y=\frac{8}{4}=2 \end{gathered}\)So, the y-intercept = 2
What is 16 times 3/4
Answer:
12
Step-by-step explanation:
To make it easier if you don't have a calculator, you can convert fractions to decimals. 3/4 is the same as 0.75.
16 × 0.75 = 12
hopefully this helped :3
The complete expression is 16 times 3/4 equals 12
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
16 times 3/4
When represented as an equation, we have
Result = 16 times 3/4
Make the result the subject of the formula
So, we have
Result = 16 times 3/4
Evaluate the products
Result = 12
Hence, the number is 12
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Which is the longer amount? 4/10 of a dollar or 8/10 of a dollar?
Answer:
8/10 of a dollar is the correct answer
Step-by-step explanation:
A coir is unwound from a drum 30 mm diameter. Draw the locus of the free end of the coir for unwinding through an angle 360
∘
. Draw also a normal and tangent at any point on the curve. Steps for construction: 1. Draw a line PQ, tangent to the circle and equal to the circumference of the circle 2. Divide the circle (1, 2, 3 etc) and the tangent (1', 2', 3
′
etc) into same number of equal parts as shown. 3. Draw tangents at 1,2,3, etc and mark on them points P1,P2, P3 etc such that 1P1=P1
′
,2P2=P2
′
,3P3=P3
′
etc. 4. The curve joining the points P1,P2,P3, etc is involute of a circle.
The curve joining the points P1, P2, P3, and so on is called the involute of a circle.
To construct the locus of the free end of the coir for unwinding through an angle of 360 degrees, as well as the normal and tangent at any point on the curve.
Here are the steps for construction:
1. Draw a line PQ that is tangent to the circle and is equal to the circumference of the circle. This line represents the coir being unwound.
2. Divide both the circle and the tangent line into the same number of equal parts. Label these divisions on the circle as 1, 2, 3, and so on. Similarly, label the divisions on the tangent line as 1', 2', 3', and so on.
3. Draw tangents at points 1, 2, 3, and so on on the circle. Mark the points where these tangents intersect the tangent line as P1, P2, P3, and so on.
The distance from each point Pi to the corresponding point i' on the tangent line should be the same as the distance from the center of the circle to the point i on the circle.
4. The curve joining the points P1, P2, P3, and so on is called the involute of a circle. This curve represents the locus of the free end of the coir as it unwinds.
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The process involves creating an initial circle that represents the drum, then using this to draw a horizontal line that's the same length as your first circle's circumference. Divide both into segments and draw lines (tangents) from one set of segments to the other. Points along these lines represent an unwound thread and create the involute when joined up. Tangents and normals can also be drawn onto this curve.
Explanation:This question pertains to the mathematical concept of a curve locus, specifically the spiral curve produced by unwinding a coir from a drum. To draw this spiral curve (or 'involute'), start by sketching a circle representing the drum (with diameter 30mm). Next, calculate the circumference of this circle and draw a horizontal line of equivalent length. Then, divide this line and the circumference of your circle into the same number of equal sections. For each section in your circle, draw a line from the point of division to an equivalent point on your horizontal line. These lines are your tangents. Mark points on these lines which correspond to the distances covered by the unwound thread. Finally, join these points to create the involute of the circle.
For the part about drawing a normal and a tangent at any point on the curve: Pick a point on the curve. Remember that the tangent at a point on an involute is perpendicular to the line from the point to the centre of the original circle. A normal at any point on a curve is simply a line drawn perpendicular to the tangent at that point.
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0.00000327 what is the proper scientific notation of this number?
Answer:
3.27 x 10^-6
Step-by-step explanation:
Hope this helps
PLEASE HELP ME I NEED THIS
Guys help me, with solution using PEMDAS
10 : (3 + 2) * 4 + 5² + 6 - 9 =
= 10 : 5 * 4 + 25 + 6 - 9 =
= 2 * 4 + 31 - 9 = 8 + 31 - 9 =
= 39 - 9 = 30
6 * 4 : 12 + 72 : 8 - 9 =
= 24 : 12 + 9 - 9 = 2
Laura collects old foreign coins. She has 83 coins in total. She has 53 lira and drachma coins. She has 51 lira and peseta coins. How many lira coins does she have?
Answer: She has 21 lira coins.
Step-by-step explanation:
Given, Laura collects old foreign coins. She has 83 coins in total. She has 53 lira and drachma coins. She has 51 lira and peseta coins.
Let x = the number of lira coins.
y= the number of drachma coins.
z= the number of peseta coins.
Then, as per given, we have
x+y+z=83 (i)
x+y=53 (ii)
x+z=51 (iii)
From (ii) and (iii)
y=53-x
z=51-x
Put these values in (i) , we get
x+(53-x)+(51-x)=83
⇒ x+53-x+51-x=83
⇒ 104-x=83
⇒104-83=x
⇒x= 21
Hence, she has 21 lira coins.
the interquartile range (iqr) is a measure of the ____________ of the middle ____________ percent of the data.
The interquartile range (IQR) is a measure of the spread or variability of the middle 50 percent of the data.
The interquartile range (IQR) is a statistical measure that describes the spread or dispersion of the middle 50 percent of the data. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of a dataset.
The quartiles divide a dataset into four equal parts, each representing 25 percent of the data. The first quartile (Q1) represents the lower boundary of the middle 50 percent, while the third quartile (Q3) represents the upper boundary of the middle 50 percent. The IQR captures the range of values within this middle range.
By focusing on the middle 50 percent of the data and excluding the extreme values, the interquartile range provides a measure of variability that is less affected by outliers or extreme values. It is commonly used in descriptive statistics and data analysis to understand the spread and distribution of a dataset, particularly when the data is not symmetrically distributed or contains outliers.
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You build 7 model airplanes during the summer. At the end of the summer, you have 25 model airplanes. How many model airplanes did you have before the summer? Select the correct equation and solution. Check the solution.
Answer:
18
Step-by-step explanation:
You have 25 when you are done, but you made 7, so subtract that from 27.
25-7 equals 18.
A ladder is leaning against a wall to form a triangle with the ground and the wall. the length of the ladder is 12 feet. the distance from the wall to the base of the ladder is 6 startroot 2 endroot feet. the wall and the floor form a right angle. a 12-foot ladder is leaning against a wall. the distance from the base of the wall to the base of the ladder is 6 startroot 2 endroot feet. given this information, what can be determined about the triangle formed by the ground, wall, and ladder? check all that apply. the triangle is isosceles. the leg-to-hypotenuse ratio is 1:startroot 2 endroot. the leg-to-hypotenuse ratio is 1:startfraction startroot 2 endroot over 2 endroot. the nonright angles are congruent. the ladder represents the longest length in the triangle.
The correct options are:
1) the triangle is isosceles.
2) the leg-to-hypotenuse ratio is 1:√2
3) the non-right angles are congruent.
4) the ladder represents the longest length in the triangle.
For given question,
the length of the ladder is 12 feet.
the distance from the wall to the base of the ladder is 6√2 feet
Let x be the height of the wall.
Using Pythagoras theorem,
⇒ x² + (6√2)² = 12²
⇒ x² = 72
⇒ x = 8.5 ft
So, the triangle is right triangle.
Here, the hypotenuse = 12 ft
And, the leg-to-hypotenuse ratio is,
6√2 : 12 = 1:√2
We know that the right triangle is an isosceles triangle.
Since the right triangle is an isosceles triangle, the non-right angles are congruent.
We know that, the hypotenuse is the longest length in the triangle.
So, the ladder represents the longest length in the triangle.
Therefore, the correct options are:
1) the triangle is isosceles.
2) the leg-to-hypotenuse ratio is 1:√2
3) the non-right angles are congruent.
4) the ladder represents the longest length in the triangle.
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Answer:
1, 2, 4, and 5
Step-by-step explanation:
Edge 2022
The table shows the different prices at a diner.
Sandwich $5
Drink $2
Dessert $3
What is the total cost for both customers?
a $10
b. $20
c. $25
d. $35
Given m|n, find the value of x.
Answer:
it is 130 degrees
Step-by-step explanation:
we al ready know it is biger than 50 and if you use protractor you will see 130
PLEASE ANSWER ASAP PLEASE
Answer:
3.08 and 3.06
Step-by-step explanation:
Because
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each linear model to its inverse.
Answer:
We need the options
Step-by-step explanation:
...
An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities.P(High- quality oil) = 0.3P(medium - quality oil)=0.4P (no oil)= 0.3What is the probability of finding oil (to 1 decimal)?
The probability of finding oil (to 1 decimal) is 0.7.
How are probabilities defined?Probability is a statistic that is used to show the possibility or chance that a certain event will occur. Probabilities can be expressed as fractions from 0 to 1, in contrast to percentages from 0% to 100%. The four main types of probability that mathematicians study are axiomatic, classic, empirical, and subjective. Given that the terms potential and probability are interchangeable, you could define probability as the probability that a particular event will take place.
To determine probability the Preliminary geologic , we obtain,
P(oil)=0.3+0.4
P(oil)=0.7.
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A small can of beans is 3 in. high with a 1 in. radius and sells for $1.49. Which can of beans is a better deal?
a. 9 in. high; 3 in. radius; sells for $39.95
b. 3 in. high; 2 in. radius; sells for $5.96
c. 3 in. high; 3 in. radius; sells for $13.41
Therefore, the can of beans that is the best deal is option b, which has the lowest price per unit volume.
What is volume?Volume is a measure of the amount of space occupied by an object or a substance. It is often measured in cubic units such as cubic centimeters, cubic inches, or cubic meters. The formula for finding the volume of different objects may vary based on their shape and size, but it typically involves measuring the length, width, and height of the object and multiplying them together.
Here,
To determine which can of beans is the better deal, we need to compare their volumes and prices per unit volume.
The volume of the small can of beans is:
V₁ = πr₁²h₁
= π*(1)²*(3)
= 3π
The price per unit volume of the small can is:
P₁ = $1.49 / 3π
≈ $0.157 per cubic inch
For the other cans of beans, we can calculate their volumes and prices per unit volume:
a. V₂ = πr₂²h₂
= π*(3)²*(9)
= 81π
P₂ = $39.95 / 81π
≈ $0.155 per cubic inch
b. V₃ = πr₃²h₃
= π*(2)²*(3)
= 12π
P₃ = $5.96 / 12π
≈ $0.132 per cubic inch
c. V₄ = πr₄²h₄
= π*(3)²*(3)
=27π
P₄ = $13.41 / 27π
≈ $0.165 per cubic inch
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Natalie has $20 $5 $1 $1 $1 and she needs two more bills to make $48 which bills will she need
Answer:
....................
if 100g can make 24 cakes, how much flour is needed to make 48?
Answer:
200g
Step-by-step explanation:
24x2=48
100x2=200
What is 66 divided by 8001 please help me and show what you did step by step to get the answer
A job pays $32,000 for the first year with an annual increase of 6% per year beginning in the second year. What is the salary in the sixth year? What is the total salary paid over this six-year period? Round answers to the nearest dollar.
To calculate the salary in the sixth year, we need to apply the annual increase of 6% to the initial salary of $32,000 for five consecutive years.
Year 1: $32,000
Year 2: $32,000 + 6% increase = $32,000 + (0.06 * $32,000) = $32,000 + $1,920 = $33,920
Year 3: $33,920 + 6% increase = $33,920 + (0.06 * $33,920) = $33,920 + $2,035.2 = $35,955.20
Year 4: $35,955.20 + 6% increase = $35,955.20 + (0.06 * $35,955.20) = $35,955.20 + $2,157.31 = $38,112.51
Year 5: $38,112.51 + 6% increase = $38,112.51 + (0.06 * $38,112.51) = $38,112.51 + $2,286.75 = $40,399.26
Year 6: $40,399.26 + 6% increase = $40,399.26 + (0.06 * $40,399.26) = $40,399.26 + $2,423.95 = $42,823.21
Therefore, the salary in the sixth year is approximately $42,823.
Total Salary = $32,000 + $33,920 + $35,955.20 + $38,112.51 + $40,399.26 + $42,823.21
Total Salary ≈ $223,210
The total salary paid over the six-year period is approximately $223,210.
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What is the solution for x?
5
16
5
Please help me
Answer:
do you have a equation to go with x?
Step-by-step explanation:
calculate the simple interest
on
1200 at 7% Per
annum for three years
Given:
Principal value = 1200
Rate of interest = 7% per annum
Time = 3 years
To find:
The simple interest for three years.
Solution:
The formula for simple interest is:
\(S.I.=\dfrac{P\times r\times t}{100}\)
Where, P is the principal value, r is the rate of interest in percentage and t is time in years.
Putting \(P=1200,r=7,t=3\) in the above formula, we get
\(S.I.=\dfrac{1200\times 7\times 3}{100}\)
\(S.I.=12\times 7\times 3\)
\(S.I.=252\)
Therefore, the simple interest for three years is 252.
Line s has an equation of y=1/3x–5. Line t is perpendicular to line s and passes through (–2,9). What is the equation of line t?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
The equation of line t, which is perpendicular to line s and passes through (-2, 9), is y = -3x + 3 in slope-intercept form.
Two lines are perpendicular if and only if their slopes are negative reciprocals of each other. The slope of line s, given by the equation y = (1/3)x - 5, is 1/3. Therefore, the slope of line t must be -3, which is the negative reciprocal of 1/3.
To find the equation of line t, we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
where m is the slope of the line and (x1, y1) is a point on the line.
We are given that line t passes through the point (-2, 9) and has a slope of -3. Substituting these values into the point-slope form, we get:
y - 9 = -3(x - (-2))
Simplifying the expression on the right side and rearranging, we get:
y - 9 = -3x - 6
Adding 9 to both sides, we get:
y = -3x + 3
Therefore, the equation of line t in slope-intercept form is y = -3x + 3, where the slope is -3 and the y-intercept is 3.
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Critically discuss how your organisation can utilise the balanced scorecard approach as a strategic control system used to ensure they are pursuing strategies that maximize long-term profitability
The balanced scorecard approach can be utilized as a strategic control system to ensure the organization pursues long-term profitability by aligning financial objectives with key performance indicators across multiple perspectives.
The balanced scorecard approach is a strategic control system that enables organizations to effectively measure and manage performance across various dimensions. It provides a holistic view of the organization's activities by incorporating financial and non-financial indicators, and it serves as a valuable tool to ensure strategies are aligned with long-term profitability goals.
One key aspect of the balanced scorecard approach is the inclusion of multiple perspectives. Instead of focusing solely on financial metrics, the balanced scorecard incorporates additional perspectives such as customer, internal processes, and learning and growth. This ensures a comprehensive evaluation of the organization's performance, taking into account both short-term financial results and the long-term drivers of profitability.
By utilizing the balanced scorecard approach, organizations can set clear objectives and identify relevant key performance indicators (KPIs) for each perspective. This allows for a more balanced and well-rounded assessment of performance, ensuring that strategies are not solely focused on financial outcomes but also consider customer satisfaction, operational efficiency, and employee development.
Furthermore, the balanced scorecard approach facilitates the translation of the organization's strategy into actionable initiatives. By establishing cause-and-effect relationships between the different perspectives, organizations can develop a clear understanding of how their strategic objectives will lead to long-term profitability. This enables better resource allocation, effective monitoring of progress, and timely adjustments to ensure strategies remain aligned with the pursuit of maximum profitability.
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Find the absolute maximum and absolute minimum values off on the given interval.
f(x) =xe-x2/128 [-7, 16]
The absolute maximum and minimum value of f(x) on the interval [-7, 16] is 2.358, -2.358 at x = 8 and x = -8
How to find the absolute maximum and absolute minimum values of the function f(x)?To find the absolute maximum and absolute minimum values of the function \(f(x) = x*e^{(-x^2/128)}\) on the interval [-7, 16], we need to look for the critical points and the endpoints of the interval.
First, let's find the critical points by taking the derivative of f(x) and setting it equal to zero:
\(f(x) = x*e^{(-x^2/128)}\)
\(f'(x) = e^{(-x^2/128)} - (x^2/64)*e^{(-x^2/128)}\)
Setting f'(x) equal to zero, we get:
\(e^{(-x^2/128)} - (x^2/64)e^{(-x^2/128)} = 0\)
\(e^{(-x^2/128)(1 - x^2/64) }= 0\)
So either\(e^{(-x^2/128)} = 0\) (which has no solutions), or\(1 - x^2/64 = 0\), which gives us x = ±8.
Next, we need to check the endpoints of the interval:
\(f(-7) = -7e^{(-49/128)} \approx -0.091\)
\(f(16) = 16e^{(-256/128)} \approx 0.090\)
Now we can compare the values of f(x) at the critical points and endpoints to find the absolute maximum and absolute minimum values:
f(-7) ≈ -0.091
\(f(8) = 8e^{(-64/128)} \approx 2.358\)
\(f(-8) = -8e^{(-64/128)} \approx -2.358\)
f(16) ≈ 0.090
So the absolute maximum value of f(x) on the interval [-7, 16] is approximately 2.358, and it occurs at x = 8.
The absolute minimum value of f(x) on the interval [-7, 16] is approximately -2.358, and it occurs at x = -8.
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9 A rectangle and a square have the same area. The length
of the rectangle is 70 feet more than two times its width. The
length of a side of the square is 30 feet. Set up an equation to
find the dimensions of the rectangle. What are the dimensions
of the rectangle? Include units of measurement.
Answer:
Step-by-step explanation: If the square is 30 ft on one side the other side must be too. So 30x30 = 900. Now, we know the rectangle must also be 900 in area. So, the width must be 10feet and the length must be 90ft because 10x90 is also 900. How I got the length? I did 10x2+70.
PLEASE HELP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER.
Find the difference between your wet bulb and dry bulb temperatures. Round the value to the nearest whole number. Use this value and your average dry bulb temperature in Celsius (round up or down to the nearest temperature) to determine the relative humidity using the chart below.
Relative Humidity (%)
Dry Bulb Temperature(°C)
Difference of Wet Bulb and Dry Bulb Temperatures(°C)
Answer:
20 degrees
Step-by-step explanation:
Answer:
20 degrees
Step-by-step explanation:
I got help from my teacher.
Jim baked 31 cookies. His family ate m of them. Using m, write an expression for the number of cookies that remained.
Answer:
31-m
Step-by-step explanation:
Hope this helps!
Answer:
31 - m
Step-by-step explanation:
Expressions don't have the equal sign, equations do.
what point satisfies the inequality of Y < -4x + 3 and indicates side of the inequality should be shaded
First, we plot the graph of the equation y=-4x+3, to do this, we only need two points
\(\begin{gathered} x=0\text{ , y=-4(0)+3=3} \\ (0,3) \\ x=1,\text{ y=-4(1)+3=-1} \\ (1,-1) \end{gathered}\)In green it is shaded the ponts that satisfy the inequality, that is because the y value must be below (that's why it has the sigh <) this graph.