B.Tech first year
17. Find the orthogonal trajectories of the family of coaxial circles x² + y2 +2y+c=2, 2 being the parameter.
Answers
The orthogonal trajectories of the family of coaxial circles given by the equation x² + y² + 2y + c = 2 are represented by the equation x² + y² - 2y + c = k, where k is a constant.
The family of coaxial circles is represented by the equation x² + y² + 2y + c = 2, where 'c' is a parameter.
To find the orthogonal trajectories, we need to determine the equation that satisfies the condition that the slopes of the tangents of the curves in the family of coaxial circles are perpendicular to the slopes of the tangents of the orthogonal trajectories.
First, let's rewrite the equation of the family of coaxial circles as x² + y² - 2y + c = 2 by moving the 2y term to the left side.
Next, we differentiate the equation with respect to 'x' to find the slope of the tangent line for the family of coaxial circles:
d/dx (x² + y² - 2y + c) = d/dx (2)
2x + 2yy' - 2y' = 0
Simplifying further, we get:
2x + (2y - 2)y' = 0
2x + 2(y - 1)y' = 0
Now, to find the slope of the tangent line for the orthogonal trajectories, we take the negative reciprocal of the derivative:
-(2x + 2(y - 1)y')^(-1) = -(2x + 2(y - 1)y')^(-1)
The negative reciprocal of the slope is the same for the orthogonal trajectories. Therefore, the equation for the orthogonal trajectories can be represented as x² + y² - 2y + c = k, where 'k' is a constant.
Thus, the orthogonal trajectories of the family of coaxial circles x² + y² + 2y + c = 2 are given by the equation x² + y² - 2y + c = k.
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Related Questions
Branliest For Correct answer
Please I need help
Factor Completely
a^2 - a - 20
Answers
Answer:
\(\left(a+4\right)\left(a-5\right)\)
Step-by-step explanation:
Break the expression into groups.
=(a^2+4a)+(−5a−20)
Factor out a from a2+4a: a(a+4)
Factor out −5 from −5a−20: −5(a+4)
=a(a+4)−5(a+4)
4. Line p contains point (6, -5) and is perpendicular to line q. The equation for line qis y = 3x + 5.
Write an equation for line p.
Part I: Find the slope of line q. (1 point)
i give brainlist
Answers
Answer:
Slope of line q: 3
Slope of line p: -1/3
Equation of line p: y = -1/3x - 3
Step-by-step explanation:
Finding the slope of line p:
The slope of line q is 3 (as given in y = 3x + 5)
For finding the slope of a line perpendicular to line q, both lines must have a product of -1, as shown below:
m₁m₂ = -1
m₁ in the current case is 3. Hence,
3m₂ = -1
m₂ = -1/3
Hence, the slope of line p is -1/3
Substituting the value of m into 'y=mx+c':
y = -1/3x + c
Substituting (6,-5) into the above equation:
-5 = -1/3 * 6 + c
-5 = -2 + c
c = -3
Hence,
y = -1/3x - 3
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
IF x / 4 = 12
so x = 3
is this correct
Answers
An inscribed angle is an angle whose vertex is a point on a circle and whose sides are two _____ of the circle
Answers
An inscribed angle is formed by two chords of a circle that intersect at a vertex located on the circle.
The angle itself is formed by the two sides of the angle, which are the line segments connecting the vertex to the endpoints of the chords. The property that makes inscribed angles interesting is that the measure of an inscribed angle is half the measure of the intercepted arc on the circle.
This relationship holds true for any inscribed angle in a circle, making it a useful concept in geometry for solving problems involving angles, arcs, and circles.
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Find the percent decrease.
Last year I sent out 120 invitations to a summer party
and this year I only sent out 90 invitations.
Answers
Answer:
120=100%
90=x
x=100%×90/120
x=75%
%decrease=100%-75%=25%
A triangle has two sides of lengths 6 and 9. What value could the length of
the third side be? Check all that apply.
OA. 7
B. 2
C. 4
OD. 15
□E. 10
O F. 12
SUBMIT
Answers
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Given that two sides have lengths 6 and 9, we can analyze the possibilities:
6 + 9 > x
x > 15 - The sum of the two known sides is greater than any possible third side.
6 + x > 9
x > 3 - The length of the unknown side must be greater than the difference between the two known sides.
9 + x > 6
x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.
Based on the analysis, the possible values for the length of the third side are:
A. 7
C. 4
□E. 10
O F. 12
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
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Which steps could be used to solve this story problem? Blake took flyers to the shopping center to advertise his car wash event. By the time he arrived 14 of the flyers had blown away. He ended up putting 50 flyers on blue cars, 26 flyers on white cars, and 32 flyers on silver cars. How many flyers did Blake start with?
Answers
Blake started with 94 flyers before 14 of them blew away.To solve this story problem, we can follow these steps:
1. Start by identifying the key information provided in the problem:
- 14 flyers had blown away by the time Blake arrived.
- Blake put 50 flyers on blue cars, 26 flyers on white cars, and 32 flyers on silver cars.
2. To find out how many flyers Blake started with, we need to determine the total number of flyers he distributed. Add the number of flyers on blue cars, white cars, and silver cars:
- 50 + 26 + 32 = 108 flyers were distributed.
3. Since 14 flyers blew away, we subtract this number from the total number of distributed flyers to find the initial number of flyers Blake had:
- 108 - 14 = 94 flyers.
Therefore, Blake started with 94 flyers before 14 them blew away.
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What is the cost of 18 toy cars?
Answers
Answer:
$27
Step-by-step explanation:
Assuming this price list, ...
4 toy cars cost 6 dollars
6 toy cars cost 9 dollars
8 toy cars cost 12 dollars
We recognize that 18 cars is 3 times 6 cars, so the cost will be ...
cost of 18 cars = 3(cost of 6 cars) = 3($9) = $27
The cost of 18 toy cars is $27.
answer attachment EASY POINTS
Answers
Answer:
\(z=\frac{at-67}{45+a}\)
Step-by-step explanation:
Step 1: Write out equation
a(t + z) = 45z + 67
Step 2: Distribute a
at + az = 45z + 67
Step 3: Subtract 67 on both sides
at + az - 67 = 45z
Step 4: Subtract az on both sides
at - 67 = 45z + az
Step 5: Factor out z
at - 67 = z(45 + a)
Step 6: Divide both sides by 45 + a
\(z=\frac{at-67}{45+a}\)
Answer:
Step 1: Write out equation
a(t + z) = 45z + 67
Step 2: Distribute a
at + az = 45z + 67
Step 3: Subtract 67 on both sides
at + az - 67 = 45z
Step 4: Subtract az on both sides
at - 67 = 45z + az
Step 5: Factor out z
at - 67 = z(45 + a)
Step 6: Divide both sides by 45 + a
Step-by-step explanation:
There were a total of 480 tickets sold for the school play. Adult tickets sold for $8 and student tickets sold for $5. The ticket sales brought in $3369. How many adult tickets and student tickets were sold?
Answers
Step-by-step explanation:
Let A be the number of adult tickets and
let S be the number of student tickets.
From the question we know that
A + S = 480
The revenue from the adult tickets is
A x $8
and the revenue from the student tickets is
S x $5
So the total revenue is
A x $8 + S x $5 = $3369
We can change the first equation to
S = 480 - A
and then plug this into the second equation to get
A x $8 + (480 - A) x $5 = $3369
Simplify the equation to obtain
A = 323
Plug this value into the first equation to obtain
S = 157
a jar contains 22 red marbles number 1 to 22 and 52 blue marbles number 1 to 50 to a marble is drawn at random from the drawer find the probability of the given event around solution to three decimal places
Answers
We are given a jar that contains 22 red marble( 1 to 20) and 52 blue marbles (1 to 52). We can proceed to find the solution for each part of the question.
PART 1
Let the probability that the marble is red be P(r).
Therefore,
\(P(r)=\frac{Number\text{ of red balls}}{\text{Total number of balls}}\)This gives,
\(\begin{gathered} P(r)=\frac{22}{22+52}=\frac{22}{74} \\ \therefore P(r)=\frac{11}{37}=0.297 \end{gathered}\)Therefore, the probability that the marble is red is:
ANSWER= 0.297
PART 2:
Let the probability of picking odd-numbered balls be P(o)
Therefore,
\(P\mleft(o\mright)=\frac{Number\text{ of odd balls}}{\text{Total number of balls}}\)We already know that the total number of balls is 72 for the previous question. Therefore, the total number of oddballs will be the sum of odd red balls and odd blue balls. This consists of 11 odd red balls and 26 odd blue balls.
Therefore,
\(\begin{gathered} P(o)=\frac{26+11}{74}=\frac{37}{74} \\ \therefore P(o)=0.5 \end{gathered}\)The probability of picking odd-numbered balls is
ANSWER = 0.5
PART 3:
Let the probability of picking a red or odd-numbered ball be P(r U o)
\(P(r\cup o)=P(r)+p(o)-p(r\cap o)\)Since we already have the values of P(r) and P(o), therefore we only need to find p(r n o).
p(r n o) is the probability of the ball being red and odd. The number of the red and oddball is 11.
Therefore,
\(\begin{gathered} P(r\cap o)=\frac{nu\text{mber of red and odd balls}}{\text{Total number of balls}} \\ =\frac{11}{74} \\ =0.149 \end{gathered}\)This implies that,
\(\begin{gathered} P(r\cup o)=P(r)+p(o)-p(r\cap o) \\ P(r\cup o)=0.297+0.5-0.149 \\ \therefore P(r\cup o)=0.648 \end{gathered}\)Hence, the probability of picking a red or odd-numbered ball is
ANSWER = 0.648
PART 4:
Let the probability of picking a blue or even-numbered ball be P(b U e)
Therefore,
\(P(b\cup e)=p(b)+p(e)-p(b\cap e)\)From the above formula, we would need to figure out all the parts. p(b) represents the probability of blue marble. This gives,
\(\begin{gathered} p(b)=\frac{Number\text{ of blue balls}}{\text{Total number of balls}} \\ \therefore p(b)=\frac{52}{74}=0.703 \end{gathered}\)p(e) represents the probability of even balls. The total number of even balls will be the sum of the even red balls and even blue balls.
\(\begin{gathered} p(e)=\frac{26+11}{74}=\frac{37}{74} \\ \therefore p(e)=0.5 \end{gathered}\)p(b n e) represents the probability of blue and even balls. We have 26 blue and even balls
\(\begin{gathered} p(b\cap e)=\frac{Number\text{ of blue and even balls}}{\text{Total number of balls}} \\ P(b\cap e)=\frac{26}{74}=0.351 \end{gathered}\)Therefore,
\(\begin{gathered} P(b\cup e)=p(b)+p(e)-p(b\cap e) \\ P(b\cup e)=0.703+0.5-0.351 \\ \therefore P(b\cup e)=0.852 \end{gathered}\)Therefore, the probability of picking a blue or an even ball is:
ANSWER = 0.852
The ratio of boy to girl who play kickball at rece i 6 to 2. There are 18 girl on the team. What i the nu
mber of boy who play kickball at rece?
Answers
The ratio of boy to girl who play kickball at race is 6 to 2. There are 18 girl on the team. the number of boys who play kickball at race is 12 boys.
The ratio of boy to girl who play kickball at race is 6 to 2
6 boys: 2 girls
Multiply the number of girls by the ratio:
18 girls x (6 boys / 2 girls) = 18 x 3 = 54
Subtract the number of girls from the total to get the number of boys:
54 - 18 = 36
Therefore, there are 12 boys who play kickball at race.
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3x√64= please help meee
Answers
Answer:
I think the answer is 2.7
Step-by-step explanation:
3x√64
√64=8
3x=8
x=8/3
x=2.7
an article summarizes a report of law enforcement agencies regarding the use of social media to screen applicants for employment. the report was based on a survey of 731 law enforcement agencies. one question on the survey asked if the agency routinely reviewed applicants' social media activity during background checks. for purposes of this exercise, suppose that the 731 agencies were selected at random, and that you want to use the survey data to decide if there is convincing evidence that more than 25% of law enforcement agencies review applicants' social media activity as part of routine background checks.
Answers
a) The sampling proportion's mean value is 0.25. 0.016 is the standard deviation. The form resembles a bell.
b) There is a 10% possibility of getting this number, p=0.27 or more, given a sample proportion, so I wouldn't be surprised.
c) Since there is no chance that the sample fraction of 0.31 will occur, I would be shocked if it did.
Given,
a) The null hypothesis proportion would be the middle of the sampling distribution (p-0.25). So, p=0.25 is the sampling proportion's mean value.
This would be the standard deviation:
σp = √(p (1 - p) / n) = √(0.25 × 0.75/731) = 0.016
The distribution would resemble a binomial distribution, hence the form would be bell-shaped.
b) By calculating the z-value and checking for its probability in the standard normal distribution, we may determine the likelihood of a value p=0.27 in this distribution.
z = (p - π) / σp = (0.27 - 0.25) / 0.016 = 0.02/0.016 = 1.25
p(z > 1.25) = 0.106
There is a 10% probability of achieving this value, p=0.27 or more, for a sample proportion, so I wouldn't be surprised.
c) We repeat the calculation for p=0.31
z = (p - π) / σp = (0.31 - 0.25) / 0.016 = 0.06/0.016 = 5
p(z > 5) = 0.000
I would be astonished to see that value because the probability of this sample fraction occurring at p=0.31 is zero.
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PLZ HELP DUE TONIGHT
find x
Answers
Answer:
X=1
Step-by-step explanation:
m<GCF=m<ACD because they are vertical
11x = 7x+4
subtract 7 from both sides to get 4x=4
divide both sides by four to get X=1
Prove that ∑i=1[infinity]2i1=1.
Answers
After using the formula for the sum of an infinite geometric series, we conclude that the given infinite series does not converge to 1.
To prove that the infinite series ∑(i=1 to ∞) 2^(i-1) equals 1, we can use the formula for the sum of an infinite geometric series.
The sum of an infinite geometric series with a common ratio r (|r| < 1) is given by the formula:
S = a / (1 - r)
where 'a' is the first term of the series.
In this case, our series is ∑(i=1 to ∞) 2^(i-1), and the first term (a) is 2^0 = 1. The common ratio (r) is 2.
Applying the formula, we have:
S = 1 / (1 - 2)
Simplifying, we get:
S = 1 / (-1)
S = -1
However, we know that the sum of a geometric series should be a positive number when the common ratio is between -1 and 1. Therefore, our result of -1 does not make sense in this context.
Hence, we conclude that the given infinite series does not converge to 1.
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find missing angles
Answers
Answer:3=37 m1=62 m2=45 m3=24
Step-by-step explanation:
if you want to be 95% confident of estimating the population mean to within a sampling error of plus or minus 2 and the standard deviation is assumed to be 19, what sample size is required?
Answers
Answer:
The required sample size is 347
Step-by-step explanation:
The required sample size can be calculated as follows
Since we use 95% confidence interval, then the z critical for 95% is 1.96.
The formula to calculate the sample size is derived from the formula of 95% confidence interval for a mean
\(\overline{X} \pm 1.96 \frac{s}{\sqrt{n}}\)
Where \(\overline{X}\) is the point estimate or the value, computed from sample information, that is used to estimate the population parameter
s is the sample standard deviation
n is the sample size
Since the task say that the estimation of the population mean is within a sampling error of plus or minus 2 then substitute 2 for margin of error
\(\overline{X} \pm 1.96 \frac{s}{\sqrt{n}}\)
\(\overline{X} \pm\) 2
From the above expression, then the equation to follow is
\(2 = 1.96 \frac{s}{\sqrt{n}}\)
Divide both sides by 1.96 to isolate \(\frac{s}{\sqrt{n}}\)
\(\frac {2}{1.96}=\frac{s}{\sqrt{n}}\)
Simplify the left side of the equation
\(\frac {2}{1.96}=\frac{s}{\sqrt{n}}\)
\(1.02041=\frac{s}{\sqrt{n}}\)
Substitute 19 for s
\(1.02041=\frac{19}{\sqrt{n}}\)
Multiply both sides by \(\sqrt{n}\\\)
\(1.02041\sqrt{n}=19\)
Divide both side by 1.02041 to isolate \(\sqrt{n}\\\)
\(\sqrt{n}=\frac{19}{1.02041}\)
\(\sqrt{n}=18.612\)
Square both side to get the value of n
n = 346.41
We round up to determine that the required sample size is n = 347
Hence the required sample size is 347
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arthur benjamin says that the current top of the pyramid of mathematics curriculum is
Answers
The solution for the following system of linear equation 3m-2n=13 is (2,-1) true or false
Answers
Answer:
Not True
Step-by-step explanation:
>_<
\(\text{To find your answer, plug in the values to the equation and solve:}\\\\3(2)-2(-1)=13\\\\\text{Solve:}\\\\3(2)-2(-1)=13\\\\6+2=13\\\\8=13\\\\\text{8 does not equal 13, therefore making the equation FALSE}\\\\\boxed{\text{False}}\)
A device contains two components. The device fails if either component fails. The joint density function of the lifetimes of the components, measured in hours is f (s, t), where 0
Answers
The probability that the device fails during its first hour of operation is; 0.625
How to Calculate Joint Density Function?
The joint density function of the lifetimes of the two components, both measured in hours, is:
f(x, y) = (x + y)/8; 0 < x < 2, 0 < y < 2
Compute the probability that the device fails during its first hour of operation as follows:
P[(X < 1) ∪ (Y < 1)] = 1 - \(\int\limits^2_1 {} \int\limits^2_1 {\frac{x + y}{8} } \, dx \, dy\)
Integrating the above with respect to the boundary conditions as above gives;
P[(X < 1) ∪ (Y < 1)] = 1 - 0.375
P[(X < 1) ∪ (Y < 1)] = 0.625
The complete question is;
A device runs until either of two comonents fails, at which point the device stops running. The joint density function of the lifetimes of the two components, both measured in hours, is f(x,y) = x + y/8 for 0 < x < 2 and 0 < y < 2Calculate the probability that the device fails during its first hour of operation.
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an automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. in an earlier study, the population proportion was estimated to be 0.31 . how large a sample would be required in order to estimate the fraction of new car buyers who prefer foreign cars at the 95% confidence level with an error of at most 0.03 ? round your answer up to the next integer.
Answers
The required sample size is 907.
We have,
To determine the required sample size for estimating the fraction of new car buyers who prefer foreign cars over domestic with a 95% confidence level and an error of at most 0.03, we'll use the following formula:
n = (Z² x p (1 - p)) / E²
Where:
- n is the required sample size
- Z is the Z-score for the desired confidence level (1.96 for a 95% confidence level)
- p is the estimated population proportion (0.31)
- E is the margin of error (0.03)
Step-by-step calculation:
1. Calculate Z²: 1.96² = 3.8416
2. Calculate p (1 - p): 0.31 x (1 - 0.31) = 0.2139
3. Calculate E²: 0.03² = 0.0009
4. Substitute these values into the formula: n = (3.8416 x 0.2139) / 0.0009 = 906.92
Since we need to round up to the next integer, the required sample size is 907.
Thus,
The required sample size is 907.
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WILL MARK BRAINLIEST!!! I NEED HELP QUICKKKK!!! 20 POINTS!!! The height of a hockey puck that is hit toward a goal is modeled by the function f(x) = −x^2 + 8x − 10, where x is the distance from the point of impact. Complete the square to determine the maximum height of the path of the puck. −(x − 4)^2 + 26; The maximum height of the puck is 26 feet. −(x − 4)^2 + 26; The maximum height of the puck is 4 feet. −(x − 4)^2 + 6; The maximum height of the puck is 4 feet. −(x − 4)^2 + 6; The maximum height of the puck is 6 feet.
Answers
Answer:
-(x - 4)² + 6
Max height: 6
Step-by-step explanation:
Step 1: Factor out negative
0 = -(x² - 8x + 10)
Step 2: Divide by -1
0 = x² - 8x + 10
Step 3: Move 10 over
-10 = x² - 8x
Step 4: Complete the Square
-10 + 16 = x² - 8x + 16
6 = (x - 4)²
Step 5: Move 6 over
(x - 4)² - 6
Step 6: Multiply by -1
-(x - 4)² + 6
The maximum height of the puck is 6 feet. We look at k in f(x) = a(bx - h)² + k.
Answer:
-(x-4)^2+6=0
maximum point (4,6)
max=6
Step-by-step explanation:
−x^2 + 8x − 10 use the formula (b/2)^2 to create a new term to complete the square: b=8 so the new term is (8/2)^2 = 16
−x^2 + 8x − 10+16=0
factorize : -x^2+8x+16-10
-(x-4)^2+6=0
to find the maximum value : x= -b/2a b=8 and a=-1
x=-8/-2
x=4 substitute the value of x in the equation:
-4^2+8(4)-10=-16+32-10=6
Question is on picture attached
Answers
Answer:
Both triangles are congruent.
so 30/36 = 5/6 = 0.83333333333...
35/x should also be 0.83333333333.. so 35/0.83333333333.. is x
x = 42
Find an equation of the plane. The plane that passes through the point (2, -2,0) and contains the line with symmetric equations x =y= 2z ? 2 + ? y + ? Z= ?
Answers
The equation of the plane that passes through the point (2, -2, 0) and contains the line with symmetric equations x = y = 2z is 0.5x - y + 4z = 4.5.
To find the equation of the plane, we need to find a normal vector to the plane. We can do this by finding two direction vectors of the plane and taking their cross product.
One direction vector of the plane is given by the line with symmetric equations x = y = 2z. This means that the direction vector of the line is (1, 1, 0.5).
Another direction vector of the plane can be found by subtracting the given point from any point on the line. For example, the point (2, 2, 1) is on the line, so we can subtract the given point (2, -2, 0) from it to get the direction vector (0, 4, 1).
Now we can take the cross product of these two direction vectors to find the normal vector:
(1, 1, 0.5) x (0, 4, 1) = (0.5, -1, 4)
The equation of the plane can then be written as:
0.5(x - 2) - 1(y + 2) + 4(z - 0) = 0
Simplifying gives us the final equation of the plane:
0.5x - y + 4z = 4.5
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The atom with the next higher z and having similar chemical properties would have z equal to the atom with the next higher and having similar chemical properties would have equal to :________
a) 34.
b) 13.
c) 9.
d) 14.
Answers
The correct answer is (a) 34, as the element with the next higher z and similar chemical properties to selenium would be polonium (z = 84).
The periodic table of elements is arranged in order of increasing atomic number (z), and elements in the same group have similar chemical properties. Therefore, to determine the atom with the next higher z and having similar chemical properties, we need to identify the group of the given element.
Option (a) 34 is the atomic number of selenium, which is in group 16 of the periodic table. Elements in group 16 are known as the chalcogens and have similar chemical properties, such as forming compounds with oxygen and having multiple oxidation states. The element with the next higher z and similar chemical properties to selenium would be the next element in group 16, which is polonium (z = 84).
Option (b) 13 is the atomic number of aluminum, which is in group 13 of the periodic table. Elements in group 13 are known as the boron group and have similar chemical properties, such as forming compounds with oxygen and having low electronegativity. The element with the next higher z and similar chemical properties to aluminum would be the next element in group 13, which is gallium (z = 31).
Option (c) 9 is the atomic number of fluorine, which is in group 17 of the periodic table. Elements in group 17 are known as the halogens and have similar chemical properties, such as forming ionic compounds with metals and having high electronegativity. The element with the next higher z and similar chemical properties to fluorine would be the next element in group 17, which is chlorine (z = 17).
Option (d) 14 is the atomic number of silicon, which is in group 14 of the periodic table. Elements in group 14 are known as the carbon group and have similar chemical properties, such as forming compounds with oxygen and having multiple oxidation states. The element with the next higher z and similar chemical properties to silicon would be the next element in group 14, which is germanium (z = 32).
Therefore, the correct answer is (a) 34, as the element with the next higher z and similar chemical properties to selenium would be polonium (z = 84).
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Solve the equation for y, show all your work:
6x + 3y = 18
Answers
Answer:
2x - y = -5
Step-by-step explanation:
do the math equation in the calculator and you will get the right answer
Answer:
y = -2x + 6
Step-by-step explanation:
The equation is,
→ 6x + 3y = 18
Then the value of y will be,
→ 6x + 3y = 18
→ 3y = -6x + 18
→ y = (-6x + 18)/3
→ [ y = -2x + 6 ]
Hence, value of y is -2x + 6.
a = , b = , c =
HELP ASAP!WILL MARK BRAINLIEST AND WORTH 23 POINTS!
Answers
Answer:
a = 2
b = 3
c = 2³ or 8
Step-by-step explanation:
Exponent Rule: \(\frac{b^m}{b^n} =b^{m-n}\)
log₂(4) = 2 or 2² = 4
2⁵/2² = 2³
2³ = 8
Answer:
a=2
b=3
c=8
Step-by-step explanation:
a=2, 2^a must equal 4
b=3, 2^b must equal 8 which is answer to 2⁵/4
c=8, the answer to 2⁵/4, and
1/4 divided by 13/20
Answers
Answer:
0.384615
Step-by-step explanation:
The selling price of a refrigerator, is $638.00. If the markup is 10% of the dealer's cost, what is the dealer's cost of the refrigerator?
Answers
25% markup = original + 25% = 125% of original = 1.25 x original
Selling price = 1.25 x dealer price
Answer = 521.25/1.25=$417
The dealers price would be 100% they sell it for 10% more so it is sold at 110 % of what the dealer pays.
Divide the selling price by 110% to get the dealers cost.
638 / 110% = 638 / 1.1 = 580
The dealers cost is $580