Porter's house is approximately 8.4 miles away from the school. We rounded to the nearest tenth as requested.
what is rounded ?
In mathematics, rounding means to replace a number with another number that is approximately equal to it, but has fewer significant digits or a simpler form. When we round a number, we are simplifying it by removing some of its precision.
In the given question,
We can solve this problem by using the Pythagorean theorem, which relates the lengths of the sides of a right triangle. Let's call the distance between Porter's house and the school "x". P represents Porter's house, S represents Sadie's house, and the line connecting P and S represents the straight-line distance between the two houses.
By the Pythagorean theorem, we know that:
x² + 4.2² = 9.4²
Simplifying this equation, we get:
x² + 17.64 = 88.36
x² = 70.72
x ≈ 8.4
Therefore, Porter's house is approximately 8.4 miles away from the school. We rounded to the nearest tenth as requested.
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A store marks up a laptop 150% from its original price of $299. There is a sale for 25% off all items in the store. What is the sale price for the computer?
Answer:
B. 336. 38
Step-by-step explanation:
So, what you want to do is multiply the original price ($299) by the first markup percentage (150%)
299*1.50= $448.50
that is your markup price!
then you have to do the sale % (25%)
so you'll multiply your (25%) by your new price ($448.50)
448.50*.25= $112. 125
THIS IS NOT YOUR ANSWER!
don't forget that!
you will then subtract the sale price ($112.125) by the upcharged price ($448.50)
448.50-112.125= 336. 375
Round up then there is your answer!
= $336. 38
hope this helps!!
A transfer function is given by H(f) = 100 / 1+ j(f/1000) Sketch the approximate(asymptotic) magnitude bode plot, and approximate phase plot.
The magnitude Bode plot starts at 100 dB and decreases with a slope of -20 dB/decade, the phase plot starts at 0 degrees and decreases with a slope of -90 degrees.
How to find the Bode plot and phase plot of the transfer function H(f)?To sketch the Bode plot and phase plot of the b H(f) = 100 / (1+j(f/1000)), we first need to express it in standard form:
H(jω) = 100 / (1 + j(ω/1000))
Hence, we have:
Magnitude:
|H(jω)| = 100 / √[1 + (ω/1000)²]
Phase:
∠H(jω) = -arctan(ω/1000)
Now, we can sketch the approximate asymptotic magnitude Bode plot and approximate phase plot as follows:
Magnitude Bode Plot:
At low frequencies (ω << 1000), the transfer function is approximately constant, with a magnitude of 100 dB.At high frequencies (ω >> 1000), the transfer function is approximately proportional to 1/ω, with a slope of -20 dB/decade.Phase Plot:
At low frequencies (ω << 1000), the phase is approximately zero.At high frequencies (ω >> 1000), the phase is approximately -90 degrees.Overall, the Bode plot of the magnitude starts at 100 decibels and decreases with a rate of 20 decibels per decade, while the phase plot starts at 0 degrees and decreases with a rate of 90 degrees per decade.
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A survey conducted in 2005 found that the State of Louisiana was the happiest State in the United States. The survey was completed before Hurricane Katrina destroyed most of New Orleans and the surrounding area. The information quality for this survey is probably not:
The information quality of the survey is not reliable for understanding the current happiness level in the state.
The information quality for this survey is likely outdated and not
representative of the current state of Louisiana, particularly after the
devastating impact of Hurricane Katrina in 2005.
The survey was conducted before the hurricane, which significantly
affected the region, including the mental health and well-being of its
residents.
Thus, the survey's results may not accurately reflect the current level of
happiness or satisfaction among Louisiana residents.
Therefore, the information quality of the survey is not reliable for
understanding the current happiness level in the state.
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The circumference is 16 pi what is the area
Answer:
64 pi
Step-by-step explanation:
15. What is the height of a triangular pyramid that has a volume of 512 cubic feet, a base length of 24 feet, and a base height of 8 feet? feet (do not enter label) Round to the nearest TENTH if necessary. please do not send website
Answer:
16 ft
Step-by-step explanation:
height of pyramid = (3×512)/(½×24×8)
= 1536/96
= 16 ft
1: what do you think is an advantage of offering more choices for something? why would ice cream stores offer 50 flavors of ice cream instead of four?
2: what do you think is the advantage of offering less for something? why would stores only offer three flavors such as vanilla chocolate and swirl?
1. An advantage of offering more choices for something is that it gives customers a greater range of options to choose from, which can increase customer satisfaction and loyalty. Offering 50 flavors of ice cream instead of four can attract a wider range of customers with different preferences, leading to increased sales and revenue. Additionally, having more options can help differentiate the store from competitors, as customers may be more likely to choose a store that offers more variety.
2. An advantage of offering less for something is that it can simplify the decision-making process for customers. This can be particularly helpful for customers who are indecisive or overwhelmed by too many options. Offering only three flavors such as vanilla, chocolate, and swirl can make the decision-making process easier for customers, leading to a faster transaction and potentially increased customer satisfaction. Additionally, offering less can help the store to streamline its operations by reducing the number of ingredients and supplies needed, which can lead to cost savings.
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Solve for brainlist ( you can take your time )
Answer:
Slope for...:
7: 1
8: -2
9: 12/0
10: 4/3
11: 2/-7
12: 0/4
13: -1/3
14: 5/9
15: 1/4
Hope this helps!
Which pair of expressions below are equivalent?
Answer: C, 7s + 3t and 3t + 7s.
Step-by-step explanation: Nothing is changing between the expressions except for their position. In addition, position does not matter though, so these two are the SAME EXPRESSION
What's the formula for a vertical line?
The formula used to represent the vertical line is given by x = k where 'k' is any constant value.
As given in the question,
Equation which represents as a formula of a vertical line is given by x = k .Here 'k' represents the constant value.Value of 'k' is also known as x - intercept.Equation of vertical x = k is always parallel to the y-axis on the graph.Slope of the vertical line is undefined as denominator is constant.Vertical line does not have any y-intercept.It is always perpendicular to the x-axis.Therefore, the formula which represent the vertical line is equal to x = k where 'k' represents x-intercept.
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Will give brainilest if correct Element X decays radioactively with a half life of 15 minutes. If there are 770 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 32 grams?
Answer:
The time it'd take for the element to have 15 g of mass is approximately 68 min.
Step-by-step explanation:
The radioactive decay of a substance is given by the following formula:
Since the element has a half life of 12 minutes, this means that after this time the mass of the element will be half of it was originally, therefore:
Therefore the mass of the element is given by:
If the initial mass is 760 g and the final mass is 15 g, we have:
The time it'd take for the element to have 15 g of mass is approximately 68 min.Step-by-step explanation:
Please draw the ray diagram! A 3.0 cm-tall object is placed at a distance of 20.0 cm from a convex mirror that has a focal length of - 60.0 cm. Calculate the position and height of the image. Use the method of ray tracing to sketch the image. State whether the image is formed in front or behind the mirror, and whether the image is upright or inverted.
The image is formed behind the mirror, and the image is upright.
Given data: Object height, h = 3.0 cm Image distance, v = ? Object distance, u = -20.0 cmFocal length, f = -60.0 cmUsing the lens formula, the image distance is given by;1/f = 1/v - 1/u
Putting the values in the above equation, we get;1/-60 = 1/v - 1/-20
Simplifying the above equation, we get;v = -40 cm
This negative sign indicates that the image is formed behind the mirror, as the object is placed in front of the mirror.
Hence, the image is virtual and erect. Using magnification formula;M = -v/uWe get;M = -(-40) / -20M = 2Hence, the height of the image is twice the height of the object.
The height of the image is given by;h' = M × hh' = 2 × 3h' = 6 cm Now, let's draw the ray diagram:
Thus, the position of the image is -40.0 cm and the height of the image is 6 cm.
The image is formed behind the mirror, and the image is upright.
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140 is what percent less than 160
Answer:
Step-by-step explanation:
permudahkan setiap yang berikut.
-6x (x - 3y) + 8x²- 5xy + 9
Step-by-step explanation:
-6x (x - 3y) + 8x²- 5xy + 9
= -6x² + 18xy + 8x²- 5xy + 9
= 2x² + 13xy + 9
( We can't really do anything after this. I might be wrong though. )
what’s the answer ?
Answer:
EF = 34
Step-by-step explanation:
EF + FG = EG , substitute values
17x + 3x + 7 = 18x + 11, that is
20x + 7 = 18x + 11 ( subtract 18x from both sides )
2x + 7 = 11 ( subtract 7 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
Thus
EF = 17x = 17(2) = 34
Answer:
34
Step-by-step explanation:
g First, you need to find the value of x. To do this you need to add the lengths of EF and FG and set it equal to the total length of EG, then solve.
EF=17x, FG= 3x+7, EG = 18x+11
17x+3x+7=18x+11
Combine like terms.
20x+7=18x+11
-7 -18x
Isolate x.
2x = 4
Divide both sides by 2.
x=2
Now that we have the value for x, we need to plug it into the length of EF to find the numerical value.
17x = 17(2) = 34
Which set of values makes the inequality 1/4x + 2≥0
A. {-8,-4, 0, 4, 8}
O
B. {-12, -8, 0, 4, 8}
o
C. {-20, -16, -12, 0,4}
D. {-20, -16, 0, 16, 20}
Answer:
the answe is A.{-8,-4,0,4,8}
Thirteen equal minus two (y minus four ) plus three y
Answer:
5
Step-by-step explanation:
13 = -2(y - 4) + 3y
13 = -2y + 8 + 3y
13 = y + 8
5 = y
y = 5
Answer:
Y = 5
Step-by-step explanation:
13=-2(y-4) +3y
13= -2y +8 +3y
-8. -8
5 = -2y + 3y
5= 1y
y=5
b. Use the result from part (a). Which part(s) of the expression can you use to show that the value of the expression is always odd? Explain.
In part (a) of the question, the expression is not provided, so it is not possible to determine which parts can be used to show that the value is always odd.
Since part (a) of the question does not provide the specific expression, it is not possible to identify which parts of the expression can be used to demonstrate that the value is always odd. The term "value" could refer to the result of the expression when evaluated for different inputs or variables.
To determine if the value of an expression is always odd, we need to examine its properties and terms. This could involve factors such as powers, coefficients, or the presence of odd numbers or variables.
Without knowing the specific expression or its components, it is not possible to identify the specific parts that would demonstrate the expression always yielding an odd value.
Therefore, without the provided expression from part (a), we cannot analyze or identify the parts that could prove the expression to always result in an odd value.
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there were 54 marbles in total the ratio of green to blue is 7:2 work out the number of green marbles
Answer:
42 green marbles
Step-by-step explanation:
sum the parts of the ratio, 7 + 2 = 9 parts
Divide the number of marbles by 9 to find the value of one part of the ratio.
54 ÷ 9 = 6 ← value of 1 part of the ratio , then
7 parts = 7 × 6 = 42 ← number of green marbles
How might constructions prove to be useful in your life?
Step-by-step explanation:
Constructions are useful in life. From learning it, you are able to use the required tools, and get familiarized with different shapes and angles. This would help you prepare for the task of proving theorems that involved those shapes and angles. It is not the end, ultimately, it prepares you for real life. Constructions are applied in building houses, estates, etc, and constructions of roads, bridges, etc.
The length of the base of an isosceles triangle is x. The length of a leg is 2x − 5. The perimeter of the triangle is 20. Find x.
The value of x is 6
What is perimeter?
A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.
We know, In isosceles triangle the two sides are equal.
So, here in question in given that
The length of the base of an isosceles triangle is x.
The length of a leg is 2x − 5.
perimeter of the triangle is 20.
The formula of perimeter of isosceles triangle = 2a + b
a = sides of triangle
b = base
Here,
a = 2x - 5
b = x
perimeter = 20
Now, put these values in given formula and then solve for 'x'
2 ( 2x - 5) + x = 20
=> 4x - 10 + x = 20
=> 5x = 20 + 10
=> 5x = 30
=> x = 30/5
=> x = 6
Therefore, the value of x is 6
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i need help with this question parts c d and e
SOLUTION
(c) The values of x for which f(x) = -1
Looking from the graph, this does not exist.
Hence the answer is "None"
(d) The values of x for which f(x) = -3
Looking form the graph, this is between 0 and 1
So we have this as
\(0\leq x<1\)So in interval notation, the answer is
\([0,1)\)(e) The x-intercept is where the graph cuts the x-axis
The graph cuts the x-axis at -1
Hence the answer is (-1, 0)
Rewrite 3(4a - 2b + c) using the Distributive Property
Hurry need help for test
Answer:
12a-6b+3c
Step-by-step explanation:
Hope this helps and can I get brainliest!
Answer:
To apply the Distributive Property you must multiply the term outside the parenthesis by each term within the parenthesis. Ensure you pay close attention to signs. Remember a negative number times a negative number is a positive number.
−
2
(
3
a
−
2
b
)
→
−
2
⋅
3
a
−
−
2
⋅
2
b
→
−
6
a
−
−
4
b
−
6
a
+
4
b
Step-by-step explanation:
hope this helps! :P
look at the bottom of the pictures to see what number it is
Step-by-step explanation:
hence the value of y=-9/4and k=-16.
What are the coefficients and constants of 7+5x need fast!!!!
Answer:
35
Step-by-step explanation:
there u go have a great day!
The graph of a linear function has a slope of 5, and it passes through the point (–7, 5). What is the value of the dependent variable when the independent variable is equal to 2?
The value of the dependent variable is 50.
What is linear function?
A linear function is a mathematical function of the form:
f(x) = mx + b
where m is the slope of the line and b is the y-intercept, which is the point where the line intersects the y-axis. The slope represents the rate of change of the function, or how much the function changes for a unit change in the independent variable x. The y-intercept represents the value of the dependent variable when the independent variable is equal to zero. Linear functions are characterized by a straight line when graphed on a coordinate plane.
To find the equation of the linear function, we can use the slope-intercept form of a line, which is:
y = mx + b
where m is the slope and b is the y-intercept. We know that the slope is 5, and the function passes through the point (-7, 5). We can use this information to solve for the y-intercept:
5 = 5(-7) + b
b = 40
Therefore, the equation of the linear function is:
y = 5x + 40
To find the value of the dependent variable when x = 2, we can substitute x = 2 into the equation and solve for y:
y = 5(2) + 40
y = 10 + 40
y = 50
Therefore, the value of the dependent variable when the independent variable is equal to 2 is 50.
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The blueprint of a fishing pier uses a scale of 1/8 inch = 5 feet. If the pier is 3 19/4 inches long on the blueprint, find its actual length.
pls!
Answer:
190
Step-by-step explanation:
1/8= 5 ft
19/4 = 38/8
38/8 = 38*5 = 190 feet
if r(t) = <2e3t, 4e−3t, 4te3t >, find t(0), r''(0), and r'(t) · r''(t).
The value of t at t = 0 is 0. The second derivative of the position vector r(t) at t = 0 is <18, 4, 0>. The dot product of the first derivative r'(t) and the second derivative r''(t) is 0.
To find t(0), we substitute t = 0 into the position vector r(t) and obtain the value of t at that point, which is 0. Thus, t(0) = 0.
To find r''(0), we differentiate the position vector r(t) twice with respect to t. The derivative of r(t) with respect to t gives us the velocity vector r'(t), and the derivative of r'(t) gives us the acceleration vector r''(t). Differentiating each component of r(t) individually, we get:
r'(t) = <6\(e^3^t\), -4\(e^3^t\), 4\(e^3^t\) + 4t\(e^3^t\)>
r''(t) = <18\(e^3^t\), \(e^3^t\), 12\(e^3^t\) + 4\(e^3^t\) + 4t^2\(e^3^t\)>
Substituting t = 0 into r''(t), we get r''(0) = <18, 4, 0>.
To find r'(t) · r''(t), we take the dot product of r'(t) and r''(t). The dot product of two vectors is calculated by multiplying their corresponding components and summing the results. Evaluating the dot product, we have:
r'(t) · r''(t) = (6\(e^3^t\) * 18\(e^3^t\)) + (-4\(e^3^t\) * 4\(e^3^t\)) + (4\(e^3^t\) + 4t\(e^3^t\)) * (12\(e^3^t\) + 4\(e^3^t\) + 4t²\(e^3^t\))
Simplifying this expression, we obtain r'(t) · r''(t) = 0.
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b) The points (5, -3) and (-3, -7)
Step-by-step explanation:
what are you doing with the points then I can help you
Leigh is renting a moving van The function C (d) = 0.12d + 25 is used to relate the cost, C, in dollars of the rental after Leigh
uses the van for d miles. What is the interpretation of the slope for this function? (1 point)
The initial cost of the moving van is $0.12
The additional cost is $25 for each additional mile the van is driven
The initial cost of the moving van is $25.
The additional cost is $0.12 for each additional mile the van is driven
Answer:
The additional cost is $0.12 for each additional mile the van is driven ⇒ D
Step-by-step explanation:
The form of the linear function is
f(x) = m x + b, where
m is the rate
b is the initial value
In our question
The function C(d) = 0.12 d + 25 represents the cost C in dollars of the rental van uses for d miles
→ Compare it with the form of the linear function above
∴ m = 0.12
∴ b = 25
∵ The cost C depends on the number of miles d
∴ $0.12 is the cost per mile ⇒ additional cost for each additional mile
∴ $25 is the initial cost ⇒ initial cost of the moving the van
The interpretation of the slope for this function is:
The additional cost is $0.12 for each additional mile the van is driven
Answer:
+0.12
Step-by-step explanation:
The additional cost is 0.12 cents for each additional mile the van is being driven.
1.)Combine like terms: 3(7n+6)-5n
Hey there!
3(7n + 6) - 5n
= 3(7n) + 3(6) - 5n
= 21n + 18 - 5n
= 16n + 18
Therefore, your answer should be:
16n + 18
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)