The height of the building is 44 meters
How to determine the height of the building?From the question, we have the following parameters that can be used in our computation:
Height of the tree = 22 m
From the question, we understand that
Scale of the diagram = 2
This means that
Height of the building = Height of the tree * Scale of the diagram
Substitute the known values in the above equation, so, we have the following representation
Height of the building = 22 m * 2
Evaluate
Height of the building = 44 m
Hence, the height is 44 m
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A company has 440,000 shares outstanding that sell for $98.48 per share. The company plans a 6-for-1 stock split. Assuming no market imperfections or tax effects, what will the stock price be after the split?
After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.
A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.
To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:
$98.48 / 6 = $16.41
Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.
It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.
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Which number b leads later to a row exchange? Which b leads to a missing pivot? In that singular case find a nonzero solution x, y, z.x +by = 0x -2y -z = 0y + z = 0.
Any nonzero vector of the form (z, -z, z) is a solution to the system when b = 1.
To solve this system of equations using Gaussian elimination, we start by writing the augmented matrix:
| 1 b 0 | 0 |
| 1 -2 -1 | 0 |
| 0 1 1 | 0 |
The first step is to eliminate the 1 in the (2,1) position by subtracting the first row from the second row:
| 1 b 0 | 0 |
| 0 -b -1 | 0 |
| 0 1 1 | 0 |
If b is zero, we cannot perform the row exchange required to put a nonzero number in the (2,2) position. This means that the system has no pivot in the second column, and therefore it has no unique solution.
If b is nonzero, we can divide the second row by -b to get a 1 in the (2,2) position:
| 1 b 0 | 0 |
| 0 1 1/b| 0 |
| 0 1 1 | 0 |
The next step is to eliminate the 1 in the (3,2) position by subtracting the second row from the third row:
| 1 b 0 | 0 |
| 0 1 1/b| 0 |
| 0 0 1-1/b| 0 |
If 1 - 1/b is zero, then the system has no pivot in the third column, and therefore it has no unique solution. Solving the equation 1 - 1/b = 0 gives b = 1, which is the value that leads to a missing pivot.
To find a nonzero solution when b = 1, we can substitute the third equation into the second equation to get y = -z. Then we can substitute this expression for y into the first equation to get x + b(-z) = 0, which simplifies to x - z = 0. Therefore, any nonzero vector of the form (z, -z, z) is a solution to the system when b = 1.
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solve the following using BEDMAS
5X4 -(3+1)2÷2
the value of the expression is 12.
To solve the following using BEDMAS 5X4 - (3 + 1)2 ÷ 2:BEDMAS is an acronym that represents the order of operations for arithmetic operations in the correct order, that is, "Brackets", "Exponents", "Division and Multiplication", and "Addition and Subtraction."The full form of BEDMAS is- B stands for Brackets.E stands for Exponents.D stands for Division.M stands for Multiplication.A stands for Addition.S stands for Subtraction.
The given expression is;5X4 - (3 + 1)2 ÷ 2When we solve this expression using the BEDMAS rule of the order of operations, we get;= 5 x 4 - (3 + 1) x 2 ÷ 2[Since brackets comes first, then multiplication and division, followed by addition and subtraction.]= 20 - 4 x 2 ÷ 2[Perform multiplication: 3 + 1 = 4 and 4 x 2 = 8]= 20 - 8[Perform Division: 8 ÷ 2 = 4]= 12Therefore, the value of the expression is 12.The solution of the given expression using the BEDMAS rule of the order of operations is explained. The BEDMAS rule defines the correct order in which arithmetic operations should be performed.
It consists of four fundamental operations. They are brackets, exponents, multiplication and division, and addition and subtraction. The expression, 5X4 - (3 + 1)2 ÷ 2, can be solved using the BEDMAS rule of operations. First, we will simplify the brackets, followed by division and multiplication, then addition and subtraction. We will get the following expression 5 x 4 - (3 + 1) x 2 ÷ 2. We will then perform multiplication by finding the product of (3 + 1) and 2, which equals 8. Finally, we will perform division by dividing 8 by 2, which equals 4. After we have completed these steps, we will subtract 8 from 20 to get the final answer of 12.
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In 2009, a fire destroyed 17/20 of the farmer's crops. Rewrite the fraction in the sentence below as a percentage.
Answer:
In 2009, a fire destroyed 85% of the
farmer's crops.
To convert a fraction to a
percentage, you can multiply the
fraction by 100.
17/20 0.85
So, 17/20 is equivalent to 0.85 or
85%.
Answer:
In 2009 a fire destroyed 85% of the farmers crops
Step-by-step explanation:
the set of all bit strings made up of a 1 followed by an odd number of 0s
The regular expression excludes strings like "1000" or "100000" because they have an even number of 0s following the 1.
The set of all bit strings made up of a 1 followed by an odd number of 0s can be represented by the regular expression:
1(00)*
Breaking down the regular expression:
1: The string must start with a 1.
(00)*: Represents zero or more occurrences of the pattern "00". This ensures that the 1 is followed by an odd number of 0s.
Examples of valid bit strings in this set include:
10
100
10000
1000000
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if your aircraft was cleared for the ils rwy 18 at lincoln municipal and crossed the lincoln vortac at 5,000 feet msl, at what point in the teardrop could a descent to 3,200 feet commence? a. only at the point authorized by atc. b. immediately. c. as soon as intercepting loc in bound.
At 8000 feet MSL in the teardrop could a descent to 3,200 feet commence.
What is aircraft?
A vehicle that can fly is known as an aircraft. It does so by getting help from the air. It does this by either employing static lift, the dynamic lift of an airfoil or, in a few rare instances, the downward push from jet engines. Aerial vehicles include, but are not limited to, planes, helicopters, airships (including blimps), gliders, paramotors, and hot air balloons.
As given, your aircraft was cleared for the ils rwy 18 at Lincoln municipal and crossed the Lincoln Vortac at 5,000 feet MSL.
Therefore, at 8000 feet MSL in the teardrop could a descent to 3,200 feet commence.
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What is the slope of the line that goes through the points (-15, 70) and (5, 10)?
Martha earned $180 during the summer doing chores. She bought 3 books worth $14 each using her chore money. How much money was left after she bought the books?
$42
$46
$135
$138
Answer:
The answer is 42 dollars trust me give me brainliest pls
Step-by-step explanation:
I’m a GOAT in math
what is 12890 X 567 pls tell me i need these for a test
Answer:
7,308,630
Step-by-step explanation:
Calculated it.
¿Qué tiempo será necesario para que $ 2.340.260 se conviertan en $3.393.377 al 1,25% de interés simple mensual?
Answer:
The right solution is "36 years".
Step-by-step explanation:
Given:
Principle,
P = $2,340,260
Amount,
A = $3,393,377
Simple interest,
SI = 3,393,377 - 2,340,260
= $1,053,117
Rate of interest,
r = 1.25%
As we know,
⇒ \(SI=\frac{Prt}{100}\)
By substituting the values, we get
⇒ \(1053117=\frac{2340260\times 1.25\times t}{100}\)
⇒ \(10531170=292532.5\times t\)
⇒ \(t=\frac{10531170}{292532.5}\)
⇒ \(=36 \ years\)
Sam and shasa had a baby and were told that their new son was in the 60th percentile for weight for all babies born in the hospital that year. there had been 120 babies born that year and 6 had been born at the same weight. a. how many weighed less? b.how many weighed more?
There were 68 babies who weighed less than Sam and Shasa's son and there were 52 babies who weighed more than Sam and Shasa's son.
To find out how many babies weighed less than Sam and Shasa's son, we need to subtract the babies born at the same weight and the babies born with more weight from the total number of babies.
First, we subtract the 6 babies born at the same weight from the total number of babies:
120 - 6 = 114
So, there are 114 babies who weighed either less or more than Sam and Shasa's son.
However, since Sam and Shasa's son is in the 60th percentile, it means that 60% of the babies weighed less than him. To find out how many babies that represents, we multiply 114 by 0.60:
114 * 0.60 = 68.4
Since we can't have a fraction of a baby, we round down to the nearest whole number:
68
Therefore, there were 68 babies who weighed less than Sam and Shasa's son.
To find out how many babies weighed more than Sam and Shasa's son, we can subtract the number of babies who weighed less from the total number of babies:
120 - 68 = 52
Therefore, there were 52 babies who weighed more than Sam and Shasa's son.
There were 68 babies who weighed less than Sam and Shasa's son.
There were 52 babies who weighed more than Sam and Shasa's son.
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Use the function f(x) to answer the questions:
f(x) = 2x2 − x − 10
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Answer:
Part A: (2x−5)(x+2)
Part B: (5/2,0) and (-2,0)
Part C: The graph of f(x) has both "ends" of the graph pointing upward. You can describe this as heading toward infinity.
Part D: To graph function we can use x-intercepts and "ends" to sketch.In order to graph better use one more point of parabola that you can find as the average of x-intercepts: (-2+5/2)/2 =1/4.This is just x coordinate and you need to plug in 1/4 in the f(x) and find y coordinate -10 1/8. You can use y-intercept (0,-10) as well to graph.
Step-by-step explanation:
2x^2-3x-5=y
(2x-5)(x+1)=y
(2x-5)(x+1)=0
2x-5=0
2x=5
x=2.5
x+1=0
x=-1
you have an even degree (2) and a positive coefficient (2)
therefore as x---> -∞, f(x)----> +∞
also, as x----> +∞, f(x)----> +∞
also notice that this is a parabola that opens upwards so both "ends" approach positive infinity
plot the x-intercepts, find the vertex using h=-b/2a and substituting this value into the equation to find k and make a table of values to graph the parabola unless you only want a rough sketch of the graph-you know the x-intercepts and you found the vertex using h=-b/2a
Step-by-step explanation:
Answer: hes right
Step-by-step explanation: i took the test
A. 11.375 Inches
B. 9.656 Inches
C. 10.344 Inches
PLEASE NEED SOME HELP
Answer:
942.5 cm3
Step-by-step explanation:
Assuming all conditions for inference are met, what defines a 95 percent confidence interval for the slope of the least-squares regression line?
Assuming all conditions for inference are met, a 95 per cent confidence interval for the slope of the least-squares regression line is defined as the range of values within which we are 95 per cent confident that the true population slope lies.
It is calculated as the point estimate (the slope of the least-squares regression line) plus or minus the margin of error, which is determined by multiplying the standard error of the slope by the critical value from the t-distribution with n-2 degrees of freedom (where n is the sample size). This critical value is chosen such that 95 per cent of the t-distribution falls within the interval. Therefore, a larger sample size or a smaller standard error will result in a narrower confidence interval, while a smaller sample size or a larger standard error will result in a wider confidence interval.
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. What is the equation of y = 2° with the given transformations? vertical compression by a factor of 1 7, horizontal shift 8 units to the left, reflection across the x-axis
The transformation of the function is y = -1/7(2ˣ ⁺ ⁸)
How to determine the transformation of the function?From the question, we have the following parameters that can be used in our computation:
y = 2°
Rewrite properly
So, we have
y = 2ˣ
The given transformations are
vertical compression by a factor of 1/7Horizontal shift 8 units to the leftReflection across the x-axisThe riles of these transformations are
vertical compression by a factor of 1/7: 1/7f(x)Horizontal shift 8 units to the left: (x + 8, y)Reflection across the x-axis: (x, -y)When they applied, we have
y = 1/7(2ˣ)
Then, we have
y = 1/7(2ˣ ⁺ ⁸)
Lastly, we have
y = -1/7(2ˣ ⁺ ⁸)
Hence, the transformed equation is y = -1/7(2ˣ ⁺ ⁸)
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What is the center of the circle shown below?
Answer:
L
Step-by-step explanation:
Here, we want to get the circle center
The diameter is a chord that passes through the center of the circle
looking at the given diagram, we can see chords SM and MN
Between this two, we can see that it is SM that passes through the center
Looking at the diagram, we can conclude that L is the circle center where the diameter SM passes
2. The current (in A for ampere) flowing through a resistor is inversely proportional to the resistance (in for ohm) of the resistor if connected to a constant voltage source. When the resistance is 5
the current is 6 A. (1) What would the current be when the resistance 2
The current when the resistance is 2 would be 15 A
How to determine the valueFrom the information given, we have that;
Current is inversely proportional to resistance
If Current = A
Resistance = R
Then, we have that;
C ∝ 1/R
Find the constant
K = CR
substitute the values, we get;
K = 5(6)
K = 30
When Resistance is 2Ohms, we would have;
30/2 = C
divide the values
C = 15A
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Which Is The Simplified Rational Expression?
Answer:
1st choice
Step-by-step explanation:
(r² -4r + 5 - r² -2r + 8) / (r - 4)
= (-6r + 13) / (r - 4)
A company plans to sell embroidered hats for $15 each. the company’s financial planner estimates that the cost, y, of manufacturing the hats is a quadratic function with a y-intercept of 7,920 and a vertex of (150, 9,000). what is the minimum number of hats the company must sell to make a profit? 151 401 529 601
The minimum number of hats the company must sell to make a profit will be B. 401.
What is profit?It should be noted that profit simply means the gain that's derived from the sale of a good.
In this case, the company plans to sell embroidered hats for $15 each. To make profit, the company will need to sell 401 hats.
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Answer:
B. 401
Step-by-step explanation:
edge 2023
1
Which shows the equation in slope-intercept form of a line with a slope of 4 and a y-intercept of -5?
Answer:
y = 4x - 5
Step-by-step explanation:
Slope-intercept form: y = mx + b
m = slope
b = y-intercept
Since 4 is the slope and -5 is the y-intercept we will substitute it for m for the slope and -5 for the b.
y = 4x + (-5)
y = 4x - 5
What are the slope and y-intercept for the equation: −4x+2y=−16
Answer:
slope = 2 , y- intercept = -8
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
- 4x + 2y = - 16 ( add 4x to both sides )
2y = 4x - 16 ( divide both sides by 2 )
y = 2x - 8 ← in slope- intercept form
with slope m = 2 and y- intercept c = - 8
Answer:
the slope is 2 and y-intercept is (0,-8)
Step-by-step explanation:
Step 1: is to subtract 2y from both sides, -4x+2y-2y=-16-2y
Step 2: Simplify, -4= -16-2y
Step 3: Divide both sides by -4, -4x/4=-16/-4-2y/-4
4x/4=x=1
In a class of 24 students, 15 have a cat and 7 have a dog. There are 4 students who have a cat and a dog. What is the probability that a student has a dog given that they do not have a cat?
Find ∠BCD
A)60
B)20
C)80
D)120
Answer:
We know : The exterior angle is equal to the sum of two non-adjacent interior amhles. Set up an equation and solve for x :\( \longrightarrow \tt5x + 10 = 3x + 3x\)
\( \longrightarrow \tt \: 5x + 10= 6x\)
\( \longrightarrow \tt10 = 6x - 5x\)
\( \longrightarrow \tt \: 10 = x\)
Replacing value :
✯\( \tt m \: \angle \: \: BCD = 5 \times 10 + 10 = \boxed{ \tt{60}} \)
Our Final answer is 60 .-------------- HappY LearninG <3 -------
question 1: what is the Circumference of a circle with a diameter of 5.5 meters
[ question 2]
what is the Area of a circle with a diameter of 5.5 meters
[ question 3 ]
what is theCircumference of a circle with a radius of 2.5 meters
the answer ig is meters
PLEASE HELP!!!!!
The required answers are (1) the circumference of a circle with a diameter of 5.5 meters is 17.27 meters (2) the area of a circle with a diameter of 5.5 meters is 23.75 m² and (3) the circumference of a circle with a radius of 2.5 meters is 15.7 meters respectively.
What is the circumference of a circle?
A circle's perimeter is known as its circumference. It is the circumference of the circle as a whole. A circle's circumference is calculated by multiplying its diameter by the constant π.
1) Given, diameter (d) = 5.5 meters
∴Circumference of a circle = π*d = 3.14*5.5 = 17.27 meters
2) Given, diameter (d) = 5.5 meters
∴Area of a circle(A) = (π*d²)/4 = (3.14*5.5²)/4 = 23.75 m²
3) Given, radius(r) = 2.5 meters
∴Circumference of a circle = 2πr = 2*3.14*2.5 = 15.7 meters
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What innovation was made possible in part because of the Carterfone decision in 1968? Select one a. COBOL b. radiospectrum allocation c. the public Internet d. SMS
The innovation that was made possible in part because of the Carterfone decision in 1968 is the public Internet. The correct answer is option C
The Carterfone decision was a landmark ruling by the Federal Communications Commission (FCC) that allowed for the interconnection of third-party devices to the telephone network. Prior to this decision, telephone companies had a monopoly on the equipment that could be used on their networks, and customers were not allowed to attach their own devices.
This decision paved the way for the development of the public Internet by allowing for the interconnection of third-party devices to the telephone network, which enabled the creation of new technologies, such as modems. Without the Carterfone decision, the public Internet as we know it today may not have been possible.
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Need help on this question as well
The required arc length of sector VW is 8\(\pi\).
Given that, in a circle U, radius UV = 9 and central angle of sector m∠VUW = 160°.
To find the arc length of sector VW, we can use the formula:
Arc length = (central angle / 360) x circumference of the circle.
First, find the circumference of the circle by the formula for the circumference of a circle is given by:
Circumference = 2 x \(\pi\) x radius.
Circumference = 2 x \(\pi\) x 9 = 18π.
Now, let's find the arc length of sector VW using the central angle of 160 degrees:
Arc length = (160/360) x 18π
Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).
Therefore, the arc length of sector VW is 8\(\pi\).
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Find the distance between the two points.
(1,1)
(3, 4)
Let y=exp(√4+3x7). Find dy/dx
That's the derivative dy/dx of the given expression y = exp(√(4 + 3x7)).
To find dy/dx, we need to take the derivative of y with respect to x. Let's calculate it step by step.
Given: y = exp(√(4 + 3x7))
We can rewrite the expression inside the square root as follows:
4 + 3x7 = 4 + 21x
Now, let's differentiate y with respect to x using the chain rule:
dy/dx = d/dx [exp(√(4 + 3x7))]
= exp(√(4 + 3x7)) * d/dx[√(4 + 3x7)]
To find d/dx[√(4 + 3x7)], we need to apply the chain rule again:
d/dx[√(4 + 3x7)] = (1/2) * (4 + 3x7)^(-1/2) * d/dx[4 + 3x7]
= (1/2) * (4 + 3x7)^(-1/2) * 3
Now, substitute this back into the expression for dy/dx:
dy/dx = exp(√(4 + 3x7)) * (1/2) * (4 + 3x7)^(-1/2) * 3
Simplifying further:
dy/dx = (3/2) * exp(√(4 + 3x7)) * (4 + 3x7)^(-1/2)
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HELPPPPPPPP!!!!!!!!!! Angles 1 and 2 are complementary. If ∠1 measure 29.6°, then what is the measure of ∠2?
Answer:
29.6*
Step-by-step explanation:
complementary angels are on the same side of the transversal, one is exterior and one is interior, and its always the same angel.
Answer:
60.4
Step-by-step explanation:
complementary angles are 2 angles that add up to the sum of 90 degrees
90-29.6=60.4