***HELP***
Given that ABC ~ DEC, find the value of x. If necessary, round your answer to two decimal places.
Answers
AB / CB = DE / CE
x / 5 = (18 - x) / 25
5x = 18 - x
6x = 18
x = 3
Related Questions
find the unit price rounded to the nearest cent: $12.35 for 11 lb
Answers
All you have to do is divide $12.35 / 11 = 1.12
Hope this Helps!!
unit price = $1.1
Explanation:
We are given that 11 lb cost $12.35. To know how much does 1 lb cost (unit price), all you have to do is cross multiplication as follows:
11 lb .......................> 12.35
1 lb .........................> ??
unit price = (1*12.35) / 11 = $1.122 which is approximately $1.1 (to the nearest cent)
Hope this helps :)
A leak in a water tank causes the water level to decrease by 3.6×10−2 millimeters each second.
About how many millimeters does the water level in the tank decrease in 5 hours, or 1.8×104 seconds?
Drag and drop the values to the boxes to express the answer in scientific notation.
Answers
Answer:
just to sum up the answer it is 6.5*10^2
Suppose we want to form five digit numbers using the set of digits 0 1 2 3
Answers
Final answer:
The question pertains to creating five-digit numbers using the digits 0, 1, 2, and 3, with the restriction that the digit 0 cannot be used as the first digit. We consider the choices for each digit, leading to a total of 768 different combinations.
Explanation:
The student is asking about forming five-digit numbers with a set of digits 0, 1, 2, 3. To create five-digit numbers with these digits, we need to consider that each digit position can be one of these four digits. The fact that 0 is included as one of the possible digits is significant because it means 0 cannot be used as the first digit in a five-digit number as that would create a four-digit number.
Since there are restrictions on the use of 0 in the first position, the first position can only be filled with digits 1, 2, or 3, providing us with three choices for the first digit. The remaining four positions can be filled by any of the four digits (0, 1, 2, 3) without restriction. Thus, for each of the remaining four positions, we have four choices.
To calculate the total number of different five-digit numbers that can be formed, we would multiply the number of choices for each position, which yields 3 choices for the first digit and 4 choices for each of the remaining four digits. Therefore, the formula becomes 3 * 4 * 4 * 4 * 4, which equals 768 different five-digit numbers.
There are 768 five-digit numbers that can be formed using the digits {0, 1, 2, 3}.
To find out how many five-digit numbers can be formed using the set of digits {0, 1, 2, 3}, we can use the concept of permutations.
Since we want to form a five-digit number, we have 5 positions to fill. For each position, we have 4 choices: 0, 1, 2, or 3.
However, since the number cannot start with 0, we have only 3 choices for the first digit.
After choosing the first digit, the remaining four positions can be filled with any of the digits {0, 1, 2, 3}.
So, the total number of five-digit numbers that can be formed using the given set of digits is:
3 (choices for the first digit) × 4 (choices for each of the remaining four digits) × 4 (choices for each of the remaining four digits) × 4 (choices for each of the remaining four digits) × 4 (choices for each of the remaining four digits)
This simplifies to:
3 × 4^4 = 3 × 256 = 768
Therefore, there are 768 five-digit numbers that can be formed using the digits {0, 1, 2, 3}.
Question
Suppose we want to form five-digit numbers using the set of digits {0, 1, 2, 3}. For example, 30133 and 22301 are such numbers, but 03731 is not. How many such numbers are possible? There are no five-digit numbers formed by using the digits {0, 1, 2, 3}.
need help please.I forgot this.
Answers
6. (-20×50)×-29 = -1000×-29 = 29,000
7. (5×10)×18 = 50×18 = 900
8. 400 + (60 + 98) = 400 +158 = 558
9. 3×(20×5) = 3×100 = 300
10. (18 + 9) +91 = 27 +91 = 118
A random sample of 31 charge sales showed a sample standard deviation of $50. a 90% confidence interval estimate of the population standard deviation is
Answers
[tex] \sqrt{ \frac{(n-1)s^2}{\chi^2_{1- \frac{\alpha}{2} } }} \leq\sigma\leq\sqrt{ \frac{(n-1)s^2}{\chi^2_{\frac{\alpha}{2} } }}[/tex]
Given a sample size of 31 charge sales, the degree of freedom is 30 and for 90% confidence interval,
[tex]\chi^2_{1- \frac{\alpha}{2} }=43.773 \\ \\ \chi^2_{\frac{\alpha}{2} }=18.493[/tex]
Therefore, the 90% confidence interval for the standard deviation is given by
[tex]\sqrt{ \frac{(31-1)50^2}{43.773 }} \leq\sigma\leq\sqrt{ \frac{(31-1)50^2}{18.493 }} \\ \\ \Rightarrow\sqrt{ \frac{(30)2500}{43.773 }} \leq\sigma\leq\sqrt{ \frac{(30)2500}{18.493 }} \\ \\ \Rightarrow\sqrt{ \frac{75000}{43.773 }} \leq\sigma\leq\sqrt{ \frac{75000}{18.493 }} \\ \\ \Rightarrow \sqrt{1713.38} \leq\sigma\leq \sqrt{4055.59} \\ \\ \Rightarrow41.4\leq\sigma\leq63.7[/tex]
Final answer:
The 90% confidence interval estimate of the population standard deviation is (0.97, 274).
Explanation:
To estimate the population standard deviation with a 90% confidence interval, you can use the formula:
CI = [s * sqrt(n-1) / sqrt(chi-squared lower value), sqrt(chi-squared upper value))]
where s is the sample standard deviation, n is the sample size, and chi-squared lower and upper values are obtained from a chi-squared distribution table. For a 90% confidence interval, the chi-squared lower value is 0.05 and the chi-squared upper value is 0.95 for the given sample size of 31. Plugging in the values:
CI = [50 * sqrt(31-1) / sqrt(0.05), sqrt(0.95))] = [50 * sqrt(30) / sqrt(0.05), sqrt(0.95))] = [50*5.48, 0.97] = [274, 0.97]
Therefore, the 90% confidence interval estimate of the population standard deviation is (0.97, 274).
i need help working this problem?
Answers
90p = 20p +50(p+600)
90p = 70p +30000 . . . . . . . eliminate parentheses
20p = 30000 . . . . . . . . . . . . subtract 70p
p = 1500 . . . . . . . . . . . . . . . . divide by 100
There were originally 1500 people in the fort.
hey can you please help me posted picture of question
Answers
C (f) = (5/9) (f -32)
Clearing f we have:
(f-32) = (9/5) c
Rewriting:
f = (9/5) c + 32
f (c) = (9/5) c + 32
Answer:
The inverse function for this case is given by:
f (c) = (9/5) c + 32
option B
Suppose that the dollar cost of producing x radios is c(x) = 400 + 20x - 0.2x
2. Find the marginal cost when 30
radios are produced.
Answers
where:
x=number of units
thus the cost required to produce 30 units will be given by
c(30)=400+20(30)-0.2(30)
c(30)=400+600-6
c(30)=994
Answer: Marginal cost will be $994
a rectangle box is twice as long as it is wide. the height of the box is 3 feet less than the width. if the box is x feet wide, what polynominal represents its volume in cubic feet
Answers
The length is twice the width, so is 2x.
The height is 3 less than the width, so is x-3.
The volume is (length)*(width)*(height), so is (2x)(x)(x -3). Eliminating parentheses, the volume in cubic feet is represented by the polynomial ...
2x³ -6x²
System.out.print((k%3) + " "); if ((k % 3) == 0) k = k + 2; else k++; } what is printed as a result of executing the code segment? question 21 options:
a. 0 2 1 0 2
b. 0 2 0 2 0 2
c. 0 1 2 1 2 1 2
d. 0 2 0 2 0 2 0
e. 0 2 1 0 2 1 0
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21$is 75% of what amount?
Answers
divide both sides by 3
7cents= 25%
multiply each side by 4
28=100%
Answer=28
Q # 7 please solve. the math
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12 in by 22 in by 4 in
the explanation is as shown in the figure
The dimension will be x , 20 - 2x , 30 -2x
the volume= v = x(20-2x)(30-2x) = 4x³ - 100x² + 600x
differentiating with respect to x and equating to zero
dv/dx = 12x² - 200x + 600 = 0
solve for x using calculator
x = 12.7 (unacceptable) or x = 3.92 ≈ 4
∴ The dimension will be 4 , 12 , 22
Solution:The dimension = x , 20 - 2x , 30 -2x
the volume=
v = x(20-2x)(30-2x)
= 4x³ - 100x² + 600x
dv/dx = 12x² - 200x + 600 = 0x = 12.7
x = 3.92
≈ 4
Dimension: 4 , 12 , 22
What is the measure of < L ? Need help
Answers
Looking at the image above, we can see that the two “legs” of the triangle both have a length of 7 units. Consequently, this triangle can be classified as an isosceles triangle. An isosceles triangle has two sides of equal length (in this case, KJ and KL) and two corresponding angles of equal measure (in this case, ∠J and ∠L).
∠J has a measure of 25 degrees. Consequently, with our knowledge of isosceles triangles, we can conclude that ∠L has a measure of 25 degrees as well.
I hope this helps!
Length contraction is the shortening of an object's measured length when it is moving relative to the observer's frame. The formula for length contraction is L = L0√(1 - (v^2/c^2)).
Explanation:Length contraction (L) is the shortening of the measured length of an object moving relative to the observer's frame. It occurs when an object is moving at a significant fraction of the speed of light. The formula for length contraction is L = L0√(1 - (v2/c2)), where L0 is the rest length of the object, v is its velocity, and c is the speed of light.
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Select all that apply. In a linear function: Δy = 0 Δx = 0 Δy = n Δx = n Δy = -n Δx = -n
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Explanation:
1) Δy = 0
Means y is constant, which is also that the slope is zero.
The function is a horizontal line (paralell to the x-axis)
2) Δx = 0
Means x is constant, the slope is not defined (∞).
The function is a vertical line (parallel to the y-axis)
3) Δy = n
Means that the change in y is constant. So, only if the change in x is also constant the slope is constant and the function is linear.
This is because the slope is Δy / Δx.
4) Δx = n
Means the change in x is constant. So, only if Δy is constant it is a linear function, for the same reason explained above
5) Δy = -n and and 6) Δx = -n
Same reasoning of 3 and 4.
Answer:
All options are correct except Δx = 0.
So select: Δy = 0 Δy = n Δx = n Δy = -n Δx = -n
Step-by-step explanation:
Δy can be positive, negative, or zero. The value of Δx can be positive or negative but not zero. From Odyssey ware.
simplify this problem
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Let f = ay i + bz j + cx k where a, b, and c are positive constants. let c be the triangle obtained by tracing out the path from (7, 0, 0) to (7, 0, 2) to (7, 6, 2) to (7, 0, 0). find f · dr
c.
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The curl of the given vector field is
[tex]\nabla\times\mathbf f(x,y,z)=-b\,\mathbf i-c\,\mathbf j-a\,\mathbf k[/tex]
Parameterize the triangular surface bounded by [tex]\mathcal C[/tex] - I'll call it [tex]\mathcal S[/tex] - by
[tex]\mathbf s(u,v)=7\,\mathbf i+6v\,\mathbf j+2(u+v-uv)\,\mathbf k[/tex]
with [tex]0\le u\le1[/tex] and [tex]0\le v\le1[/tex]. By Stokes' theorem, we have
[tex]\displaystyle\int_{\mathcal C}\mathbf f(x,y,z)\cdot\mathrm d\mathbf r=\iint_{\mathcal S}\nabla\times\mathbf f(x,y,z)\cdot\mathrm d\mathbf S[/tex]
where [tex]\mathcal S[/tex] is positively oriented; that is, every vector normal to [tex]\mathcal S[/tex] is pointed in the positive [tex]x[/tex] direction. The surface element is given by
[tex]\mathrm d\mathbf S=\mathbf s_u\times\mathbf s_v\,\mathrm du\,\mathrm dv[/tex]
So our integral is
[tex]\displaystyle\int_{v=0}^{v=1}\int_{u=0}^{u=1}(-b\,\mathbf i-c\,\mathbf j-a\,\mathbf k)\cdot((12v-12)\,\mathbf i)\,\mathrm du\,\mathrm dv[/tex]
[tex]\displaystyle=12b\int_{v=0}^{v=1}(1-v)\,\mathrm dv=6b[/tex]
The task involves evaluating the line integral of a vector field along a path to determine the work done by the field. Since the path does not traverse in the x-direction, only the y and z components of the vector field contribute to the integral. The calculation involves parameterizing each segment and summing up the individual integrals.
Explanation:The student's question involves finding f · dr along a path c in a vector field. The vector field is given as f = ay i + bz j + cx k, and the path c is a triangle with vertices at (7, 0, 0), (7, 0, 2), and (7, 6, 2). The dot product of a vector field with a differential displacement vector (dr) represents the work done by the field along that path.
To find the integral of f · dr along the path c, we would parameterize each segment of the path and evaluate the line integral. However, since the vector field has constants multiplied by either i, j, or k, and the path only moves parallel to the y and z axes, the components involving x do not contribute to the integral. Therefore, for each segment of the path, we will only consider the y and z components of the vector field. The line integral along the path is then the sum of the integrals over each segment of the triangle.
In this example, since the x-component of the field does not change and the path does not move in the x direction, the integral over the x components will be zero.
Calculation Steps:
Parameterize each segment of the path.Evaluate the integral of f · dr over each segment.Add the integrals from each segment to get the total work done by the field along path c.
QM Q4.) Find the solution set
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First you find the least common multiplier which is 2x(x + 2)
[tex] \frac{1}{x} * 2x(x + 2) + \frac{1}{x + 2} * 2x(x + 2) = \frac{1}{2} * 2x(x + 2)[/tex]
Simplify
2(x + 2) + 2x = x(x + 2)
Now you solve it algebraically
Distribute the 2
2x + 4 + 2x = x(x + 2)
Distribute the x
[tex]2x + 4 + 2x = x^{2} +2x[/tex]
Combine like terms
[tex]4x + 4 = x^{2} +2x[/tex]
Subtract 4 from both sides
[tex] x^{2} + 2x - 4 = 4x[/tex]
Subtract 4x from both sides
[tex] x^{2} - 2x - 4 = 0[/tex]
Now you put this into the quadratic formula
[tex]x = \frac{-(-2) + and - \sqrt{(-2)^{2}- 4 * 1 * (-4) } }{2 * 1} [/tex]
Simplify
[tex]x = \frac{2 + and - \sqrt{20} }{2} [/tex]
Factor the sqrt of 20
[tex]x = \frac{2 + and -2 \sqrt{5} }{2} [/tex]
Factor 2 + and - the 2 * sqrt of 5
[tex] \frac{2(1 + and - \sqrt{5}) }{2} [/tex]
The 2's cancel each other other
[tex]x = 1 + and - \sqrt{5} [/tex]
The answers are [tex]x = 1 + \sqrt{5} and x = 1- \sqrt{5} [/tex]
Hope this helps!
The square root of a negative number is imaginary, there are no real solutions to the equation x² - x = 2.
The equation using the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
Where:
a is the coefficient of the x² term
b is the coefficient of the x term
c is the constant term
In the equation x² - x = 2, we have:
a = 1
b = -1
c = 2
Plugging these values into the quadratic formula, we get:
x = (1 ± √((-1)² - 4(1)(2))) / 2(1)
Simplifying the expression, we get:
x = (1 ± √(1 - 8)) / 2
Evaluating the square root, we get:
x = (1 ± √(-7)) / 2
Since the square root of a negative number is imaginary, there are no real solutions to the equation x² - x = 2.
For similar question on quadratic formula.
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hello can you please help me posted picture of question
Answers
Number of medals to be awarded = 6
We have to distribute (arrange) the 6 medals among 28 students, so this is a problem of permutations. This means we have to find the permutations of 28 objects taken 6 at a time. This can be expressed as 28P6
[tex]28P6= \frac{28!}{22!} \\ \\ =271252800 [/tex]
This means, there are 271252800 ways to award the medals.
So, the correct option is C
rewrite 5/6 with the denomintaior of 12
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Write the sum as a product of the GCF and a sum: 39+91
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Ted determined that there are 50000 millimeters in 5 meters. Was he correct? Why or why not?
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Need help with this question please
Solve the triangle.
B = 36°, a = 38, c = 17 (5 points)
b ≈ 41.3, C ≈ 22.3, A ≈ 121.7
b ≈ 41.3, C ≈ 26.3, A ≈ 117.7
b ≈ 26.2, C ≈ 118.7, A ≈ 25.3
b ≈ 26.2, C ≈ 22.3, A ≈ 121.7
Answers
B = 36°, a = 38, c = 17
using cosine rule:
b^2=a^2+c^2-2accosB
b^2=38^2+17^2-2*38*17cos36
b^2=697.7500
b=26.2
th missing angles will be evaluated using sine rule:
a/sin A=b/sin B
thus
38/sin A=26.2/sin 36
sin A=(38sin 36)/26.2
sin A=0.8525
A=58.49
since a is the longest side then A is the largest angle and it will be:
A=180-58.49=121.51
also:
c/sin C=b/sin B
17/sin C=26.2/sin 36
sin C=0.3814
C=22.42
Thus answer is:
b ≈ 26.2, C ≈ 22.3, A ≈ 121.7
What is the surface area of the cylinder in terms of Pi? radius is 14in and height is 18 in A. 896 pi in^2 B. 504 pi in^2 C. 392 pi in^2 D. 350 pi in^2
Answers
Answer:
The answer is 896pi in.^2
Step-by-step explanation:
It may seem confusing as you get an answer in the thousands by plugging in the formula, but remember they are asking you to find the answer in "terms of pi". This means you have to divide the answer by 3.14.
2814/3.14 = 896pi in^2
Hope this helped!
hello can you please help me posted picture of question
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Any value outside this range cannot be a value of probability.
Values like -0.5 , 1.25 cannot be the probabilities.
So, the correct options are: B, C and E
Find the exact value of tan5x/4
Answers
5x/4
=5/4*150
=225
which is in quadrant III.
This implies that the value of tan will be positive, hence:
tan 225=tan (270-225)
tan 225=tan 45
using right angle with length of the legs being unit, then
tan 45=1
hence
tan 5x/4=1
what is the equation of the axis of symmetry of a parabola if its x-intercepts are -3 and 7?
Answers
so what's the x-value halfway between -3 and 7? yeap, you guessed it, 2.
so the axis of symmetry for this vertical parabola will be at x = 2.
Based on the concept of the axis of symmetry, the equation of the axis of symmetry of the parabola is x = 2.
How the Equation of the axis of symmetry is determined?To find the equation of the axis of symmetry of a parabola given its x-intercepts, we can use the fact that the axis of symmetry is the vertical line that passes through the midpoint of the x-intercepts.
The midpoint formula is given by:
x-coordinate of midpoint = (x-intercept1 + x-intercept2) / 2
In this case, the x-intercepts are -3 and 7. Let's calculate the midpoint:
Midpoint = (-3 + 7) / 2
Midpoint = 4 / 2
Midpoint = 2
Therefore, the x-coordinate of the midpoint (and the equation of the axis of symmetry) is x = 2.
Hence, in this case, it is concluded that the equation of the axis of symmetry of the parabola is x = 2.
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A cartoon in the shape of a cube measuring 8 inches tall is filled with colored plastic cubes measuring 1 inch across each face. The cubes sell for 25cent each. How much would it cost to buy all of the cubes in the carton? Enter your answer in the box?
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Is 0.6 and 0.60 equal to each other
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Law of cosines: a2 = b2 + c2 – 2bccos(A). What is the measure of S to the nearest whole degree?
Answers
Answer:
I think the answer is 77.
Step-by-step explanation:
In a large population, very close to 25% of the observations will fall below the 25th percentile (Q1), and close to 75% fall below the 75th percentile (Q3). The Web site of the Educational Testing Service reports that on the SAT Verbal test, with a possible perfect score of 800, the 89th percentile of 1,475,623 scores nationwide is a score of 670. What is the best estimate of exactly how many scores were below 670?
Answers
.89 * 1,475,623 = 1,313,304.47
So, the answer would be:
approximately equal to 1,313,305 number of scores were below 670
Answer:
1,313,000
Step-by-step explanation: