Answer:
2 solutions
Step-by-step explanation:
The absolute value of m makes us break this equation apart into two cases:
4(m) = -20 and 4(-m) = -20
I need help I’m failing math and I need someone to walk a thorough a problem
The slope-intercept form of a line is given by:
\(y=mx+b\)Where:
m = slope (Coefficient of x)
b = y-intercept ( Constant term)
Therefore, for the line:
\(\begin{gathered} y=-\frac{1}{2}x+3 \\ m=-\frac{1}{2} \\ b=3 \end{gathered}\)Let's graph the line using the following points:
What is the value of x
Answer:
5"
root4square+3square=root25
=5
1. Richard paid $48.00 for 8 bags of sand. What is the unit rate per bag of sand that
Richard paid?
Consider the function f (same as in the previous problem) defined on the interval [0, 4) as follows, F(x) = { 2/2 x. x € [0,2]. 2, x € [2, 4]Find the coefficients Cn of the eigenfunction expansion of function ff(x) = Σ[infinity], n=1 cnyn(x), where y... for n = 1,2,3,... are the unit eigenfunctions of the Regular Sturm-Liouville system - y^n = ꟾλy, y’(O) = 0, y(4) = 0Note: Label your eigenfunctions so the eigenfunction for the lowest eigenvalue corresponds ton = 1. Therefore, use 2n – 1 instead of 2n +1.C= ___
Coefficient Cn is determined by Cn = 1/2 ∫[0,2] (x+2)yn(x) dx
To find the coefficients Cn of the eigenfunction expansion of a function f(x), f(x) must be expanded with the eigenfunction yn(x). The expansion of f(x) with respect to the eigenfunction yn(x) is given by
f(x) = Σ[∞], n=1 cnyn(x)
To find the coefficient cn, we need to compute the dot product of f(x) and yn(x).
cn = (f,yn) = ∫[0,4]f(x)yn(x)dx
Since the eigenfunctions yn(x) are orthonormal, the scalar product is given by
cn = ∫[0,4]f(x)yn(x)dx = ∫[0,2]f(x)yn(x)dx + ∫[2,4]f(x)yn(x)dx
Since f(x) = 2/2 x for x in [0,2] and f(x) = 2 for x in [2,4], compute the coefficient cn as I can do it.
cn = ∫[0,2](2/2x)yn(x)dx + ∫[2,4](2)yn(x)dx
= ∫[0,2]xyn(x)dx + ∫[2,4]2yn(x)dx
= 1/2 ∫[0,2] (xyn(x) + 2yn(x)) dx
= 1/2 ∫[0,2] (x+2)yn(x) dx
Therefore, the coefficient Cn is given by
Cn = 1/2 ∫[0,2] (x+2)yn(x) dx
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please helpppppp this is so hard and its due soon pls help<3
Answer:
Step-by-step explanation:
poor paper
What’s the answer for these two
The amount freedome ride charge more than Envo car in d miles is $20.05
What is word problem?word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math. If you've ever taken a math class, you've probably solved a word problem.
The total charge for Enzo car =$50.50 +8¢ = $50.50 + $0.08 = $50.58
The total charge for Freedom = $70.50 + 12¢
= $70.50 + $0.12
= $70.62
therefore in d miles ;
Enzo will charge $50.58d
freedome will charge
$70.62d
therefore the amount freedome will charge more than Enzo car is $70.62 - $50.58
= $20.05
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Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
Caculate.
2 1/4÷(3/8÷1/2)
let's firstly convert the mixed fraction to improper fraction and proceed from there.
\(\stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{4}\div \left(\cfrac{3}{8}\div \cfrac{1}{2} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{8}\cdot \cfrac{2}{1} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{4} \right) \\\\\\ \cfrac{9}{4}\cdot \left(\cfrac{4}{3} \right)\implies \cfrac{9}{3}\cdot \cfrac{4}{4}\implies 3\cdot 1\implies \text{\LARGE 3}\)
What is the area of the hexagon below?
If the probability that a vaccine you took will protect you from getting the flu is 0.977, what is the probability that you will get the flu?
Probability that you will get the flu =
Answer:
Step-by-step explanation:
0.033
Which phrase best describes humidity? The answer is C. Edg 23.
The phrase that BEST describes humidity is "the amount of water vapor in the air". Therefore, option C is the correct answer.
The phrase that BEST describes humidity is "the amount of water vapor in the air". Humidity is the amount of water vapor in the atmosphere or in a given space. It is a measure of the amount of moisture that is present in the air and is typically expressed as a percentage. This amount of water vapor can be affected by a variety of factors, such as temperature, air pressure, and precipitation.
Therefore, option C is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
Which phrase BEST describes humidity?
the amount of precipitation that falls
the temperature of air that causes condensation
the amount of water vapor in the air
the condensation that forms on a cooler surface
Concerns about climate change and CO2 reduction have initiated the commercial production of blends of biodiesel (e.g., from renewable sources) and petrodiesel (from fossil fuel). Random samples of 41 blended fuels are tested in a lab to ascertain the bio/total carbon ratio.
(a) If the true mean is .9550 with a standard deviation of 0.0050, within what interval will 95 percent of the sample means fall? (Round your answers to 4 decimal places.)
We can conclude that with 95 percent confidence, the sample means will fall within the interval of approximately (0.9534, 0.9566).
To determine the interval within which 95 percent of the sample means will fall, we need to calculate the margin of error using the standard deviation and the desired level of confidence.
The formula to calculate the margin of error is given by:
Margin of Error = Z * (Standard Deviation / √n)
Where:
Z is the critical value corresponding to the desired level of confidence
Standard Deviation is the standard deviation of the population
n is the sample size
Since the sample size is 41 and we want to find the interval at a 95 percent confidence level, we need to find the critical value corresponding to a 95 percent confidence level.
The critical value can be found using a standard normal distribution table or a calculator. For a 95 percent confidence level, the critical value is approximately 1.96.
Now we can calculate the margin of error:
Margin of Error = 1.96 * (0.0050 / √41)
Calculating this, we find:
Margin of Error ≈ 0.001624
To find the interval within which 95 percent of the sample means will fall, we need to subtract and add the margin of error to the true mean:
Interval = True Mean ± Margin of Error
Interval = 0.9550 ± 0.001624
Calculating this, we find:
Interval ≈ (0.9534, 0.9566)
Therefore, we can conclude that with 95 percent confidence, the sample means will fall within the interval of approximately (0.9534, 0.9566).
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What Is The Probability That The Spinner Will Land On Either Yellow (Y) Or Green (G)?
A. 1/4
B.1/3
C.1/2
D.2/3
Answer:
2/3.
the spinner has 4/6 parts that are y and g, and that simplifies down to 2/3
Step-by-step explanation:
Is the integer below prime or composite?
26
Which of the following statements is/are true regarding the figure above? Check all that apply. O A. It is a plane. O B. It is a point. C. It is a zero-dimensional object. D. It is a one-dimensional object. SUB
Answer:
b and d i think hope this helps
Step-by-step explanation:
Construct the confidence interval for the population standard deviation for the given values. Round your answers to one decimal place. n=21 , s=3.3, and c=0.9
Answer:
The correct answer is "\(2.633< \sigma < 4.480\)".
Step-by-step explanation:
Given:
n = 21
s = 3.3
c = 0.9
now,
\(df = n-1\)
\(=20\)
⇒ \(x^2_{\frac{\alpha}{2}, n-1 }\) = \(x^2_{\frac{0.9}{2}, 21-1 }\)
= \(31.410\)
⇒ \(x^2_{1-\frac{\alpha}{2}, n-1 }\) = \(10.851\)
hence,
The 90% Confidence interval will be:
= \(\sqrt{\frac{(n-1)s^2}{x^2_{\frac{\alpha}{2}, n-1 }} } < \sigma < \sqrt{\frac{(n-1)s^2}{x^2_{1-\frac{\alpha}{2}, n-1 }}\)
= \(\sqrt{\frac{(21-1)3.3^2}{31.410} } < \sigma < \sqrt{\frac{(21.1)3.3^2}{10.851} }\)
= \(\sqrt{\frac{20\times 3.3^2}{31.410} } < \sigma < \sqrt{\frac{20\times 3.3^2}{10.851} }\)
= \(2.633< \sigma < 4.480\)
The price of an item has been reduced by 80%. The original price was $40. What is the price of the item now?
The price of the item now is $8 after an 80% reduction. To find the price of the item after the 80% reduction, you can follow these steps:
1. Calculate the amount of the reduction: 80% of $40.
2. Subtract the reduction amount from the original price to get the final price.
Step 1: Calculate the amount of the reduction:
80% of $40 = 0.80 * $40 = $32
Step 2: Subtract the reduction amount from the original price:
Original Price - Reduction Amount = $40 - $32 = $8
So, the price of the item now is $8 after an 80% reduction.
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Any polygon can be the base of a prism. A. True B. False
Answer:
true
Step-by-step explanation:
A prism is a solid with parallelogram sides (usually rectangles) and a polygon for the 2 bases. Any polygon can be the base.
Answer:
Hello!
__________________
Your answer would be (A) True.
Step-by-step explanation: Hope this helped you!
Any polygon can be the base of a prism so the answer is true.
{20 PTS}
4/6 = ??? x 1/6
what number makes this equation true? fill in the blank
2x-7= -5x+14
with explanation pls.
First, add 7 to both sides of the equation so it would be;
2−7=−5+14
2−7 + 7=−5+14+7
To simplify this it would be:
2=−5+21
Add 5 to both sides, it would look like this:
2=−5+212+5=−5+21+5
To simplify it would be;
7=21
Divide both sides of equation with once again, the same number
7=21 77=217
Simplify it;
=3
Therefore your answer is;
=3
e
A house was valued at $299,000 . Over several years, the value decreased by, 9% giving the house a new value.
(a) Fill in the blank to write the new value in terms of the old value.
Write your answer as a decimal.
(b) Use your answer in part (a) to determine the new value.
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
Step-by-step explanation:Make A Plan:
A) - Calculate the Percentage of the Value Remaining After the Decrease
B) - Calculate the NEW VALUE of the house
SOLVE THE PROBLEM:
A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE
100% - 9% = 91%
As A DECIMAL:0.91
B) - Calculate the NEW VALUE of the house:
NEW VALUE = OLD VALUE * REMAINING PERCENTAGE
NEW VALUE = 299,000 * 0.91
Draw the conclusion:
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
I hope it helps!
What is the value of
O
O
O
O
81
16
16
81
16
81
81
16
(3)*₂
?
The solution of the expression, \((\frac{2}{3} )^{-4}\) is 81 / 16.
How to solve an exponential expression?An algebraic expression is an expression which is made up of variables and constants, along with algebraic operations such as multiplication, subtraction, addition etc.
Therefore, lets solve the expression as follows:
\((\frac{2}{3} )^{-4}\)
Using exponential laws,
b⁻¹ = 1 / b
Let's apply the law to the expression as follows:
\((\frac{2}{3} )^{-4} = \frac{1}{(\frac{2}{3})^{4} }\)
Therefore,
1 ÷ (2 / 3)⁴ = 1 × (3 / 2)⁴ = 3⁴ / 2⁴
Finally,
3⁴ / 2⁴ = 81 / 16
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PLEASE HELP ASAP WILL GIVE BRANLIST Which equation represents the graph?
Y=-2/5x+8
Y=-5/2x+8
Y=-5/2x-3
Y=2/5x- 3
A curved line represents the graph of a non-linear function. A curved line is one whose direction changes over time.
How do you draw a linear graph?Linear refers to straight, and a graph is a figure that depicts the relationship between two or more quantities. So, the simplest definition of a linear graph is a straight line or straight graph constructed on a plane to connect two points with x and y coordinates.
The two-variable linear equation 3x - 7y = 16 has three variables. Instance For the equation 2x + y = 8, Mike must create a linear graph. With a ruler and the specified amount as the starting point, draw a vertical line. From the line across to the -axis, draw a horizontal line using a ruler. Look at the value on the -axis. Examining the information on the graph's plot can help you distinguish between a linear and a quadratic graph.
Therefore the correct answer is Y=2/5x- 3 .
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find x and y pls help
30 + 110 + 30 + 110 = 280
360-280 = 80
2y = 80
y = 40 degrees
If y is 40. Then the angle next to 30 is also y due to vertically opposite angles.
30 + 40 = 70
The line with 2 arrows is parallel to the line with x degrees. So, I use co-interior angles adds to 180.
In that c shaped, we got the bottom angle to be 70 & the top to be 110 because co-interior angles =180
Forget the c shape exists, and move onto the triangle that's visible. The top angle is 110 as found.
Angles in triangle add to 180.
180 - 110 - 30 = 40.
Thus, x = 40 degrees
There's a short cut I realise now because we can have alternate angles are equal; creating a z shape to find what x is equal to & that turns out to be the same value as y. ( due to vertically opposite angles)
Hope this helps!
I need to find x and y
Using the same-side interior angles theorem,
\(8x+30+6x+24=180 \\ \\ 14x+54=180 \\ \\ 14x=126 \\ \\ \boxed{x=9}\)
Using vertical angles,
\(6(9)+24=10y+2 \\ \\ 78=10y+2 \\ \\ 10y=76 \\ \\ \boxed{y=7.6}\)
HELLP PLZ... Also MERRY EARLY CHRISTMAS
Answer:
Step-by-step explanation:
0 would represent the surface of the water
4 seguall
3
2
1 above water
0-surface of the water
-1 in the water
-2
-3
-4
Answer:
on the surface, because 0 represents sea level.
Step-by-step explanation:
Hope this helps and good luck :)
what is the quotient of 5 and 5 and 2 more
Answer:
12
Step-by-step explanation:
i am not sure a just add 5 +5+2
What are the values of a and b?
Step-by-step explanation:
c.....................
Answer:
A
Step-by-step explanation:
Both triangles are similar triangles!
Length 21 for the top triangle is similar to length 20 for the bottom triangle
Length 29 for the top is similar to b on the bottom.
Length 20 for the top is similar to a on the bottom.
Use the first ratio: 21/20 to find the proportionality constant.
Divide 29 by that constant to get b
Divide 20 by that constant to get a
You end up with b = 580/21 (= 27.61), and a = 400/21 (= 19.047)
Therefore A is the right answer.
In this polygon, all angles are right angles.
What is the area of this polygon?
Enter your answer in the box.
Divide the shape into a square and a rectangle, multiply 7 by 10, and subtract 10 from 21 to get 11. then multiply 11 by 24. Lastly, add the products together and you get 334 feet squared. Have a good day my friend!
The area of the polygon is: 334 ft²
What is the Area of a Polygon?To find the area of a polygon, decompose the polygon into known shapes and find the area of each shape, then add all.
Thus:
Decomposing the polygon given, we would have rectangle 1 and rectangle 2.
Area of rectangle 1 = length × width = 7 × 10 = 70 ft²
Area of rectangle 2 = length × width = 24 × (21 - 10) = 264 ft²
Area of the polygon = 264 + 70 = 334 ft²
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