Answers
The correct options are a) ∠ R corresponds to ∠ P'QQ' and d) side RQ corresponds to QQ'
What is dilation?Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.
Given that, a triangle PQR is being dilated to form a new triangle P'Q'Q following a rule: (x, y) → (2x, 2y)
This show that, the scale factor is 2 and the dilation is an enlargement,
We know that, dilation transformation makes similar figures, and in similar figures, the corresponding angles and ratio of corresponding sides are equal,
Here, the corresponding angles are:
∠ P = ∠ P'
∠ PQR = ∠ P'Q'Q
∠ R = ∠ P'QQ'
And, the corresponding side:
P'Q'/PQ = P'Q/PR = Q'Q/QR
Therefore, true statements are;
a) ∠ R corresponds to ∠ P'QQ'
d) side RQ corresponds to QQ'
Hence, the correct options are a) ∠ R corresponds to ∠ P'QQ' and d) side RQ corresponds to QQ'
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Related Questions
(logarithms) help w this question the assignment is due at mid night
Answers
Answer:
Step-by-step explanation:
The hydrogen ion concentration of a solution can be calculated from the pH using the equation:
[H*] = 10^(-pH)
So for the apple juice with a pH of 3.1:
[H*(apple juice)] = 10^(-3.1) = 0.0005
And for the drinking water with a pH of 8.3:
[H*(drinking water)] = 10^(-8.3) = 1.7 x 10^(-9)
To find the ratio of the hydrogen ion concentration in apple juice to that in drinking water, we divide the concentration of the apple juice by the concentration of the drinking water:
[H*(apple juice)] / [H*(drinking water)] = 0.0005 / (1.7 x 10^(-9)) = 2.94 x 10^9
Therefore, the hydrogen ion concentration in apple juice is 2.94 x 10^9 times the concentration in drinking water.
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A square is inscribed in a circle. Then a smaller circle is inscribed in the square. Find the ratio of the area of the smaller circle to the area of the larger circle.
Answers
The ratio of the area of the smaller circle to the area of the larger circle is 1/2.
How to calculate the ratioRatio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
From the information, the square is inscribed in a circle and then a smaller circle is inscribed in the square.
Let the radius of smaller circle be 2r, then length of side of larger square is ✓2r and the length of side of smaller square is
The ratio of area of smaller square to larger square is:
= 4r² / 4(✓2r)²
= 1/2
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find the probability that he lands it on the tenth try. while a generic rule for finding probability that he first lands the bottle on the floor
Answers
Without more information about the specific situation (such as the height from which the bottle is dropped, the surface on which it is dropped, and so on), a value for p cannot be determined.
The probability of landing a bottle on the floor on any given try is a fixed value, typically represented by "p".
The probability that he will land the bottle on the floor on the tenth try is then given by:
P(tenth attempt landing) = (1 - p)9 * p
where (1 - p)9 represents the probability that he fails to land the bottle on the floor in the first nine attempts, and p represents the probability that he lands the bottle on the floor on the tenth attempt.
However, without more information about the specific situation (such as the height from which the bottle is dropped, the surface on which it is dropped, and so on), a value for p cannot be determined.
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let ct number of children in indiana at the beginning of year t, and at number of adults in indiana at the beginning of year t. during any given year, 5% of all children
Answers
In Indiana become adults, and the number of children in Indiana increases by 2% as a result of births and immigration. If we let c0 = 6 million and a0 = 4 million.
Then the population of Indiana can be modeled by the following recursive equation:
ct = (1 + 0.02) * ct-1 + 0.05 * at-1
at = (1 - 0.05) * ct-1
This equation models the growth of the population of Indiana based on the number of children and adults in the previous year, taking into account the conversion of children into adults and the growth in the number of children.
The given information states that during any given year, 5% of all children become adults, while adults stay the same. Hence, the number of adults in year t can be determined as follows:
at = (1 + 0.05) * ct-1
Where ct-1 is the number of children in the previous year. This equation reflects that the number of adults in year t is the sum of the adults from the previous year plus 5% of the children in the previous year.
This model assumes that the growth in the number of adults is solely dependent on the children becoming adults, and no other factors, such as migration, birth, or death, are considered. This model is also based on the assumption that 5% of the children will become adults each year, which may not hold true in reality.
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Solve the LP problem. If no optimal solution exists because there is no Solution Set, enter EMPTY. If no optimal solution exists because the region is unbounded, enter UNBOUNDED. Note that an unbounded region can still have an optimal solution while a bounded region is guaranteed to have optimal solutions. HINT [See Example 1.] Minimize c = x + 2y subject to x + 3y 2 28 5x + y 2 28 x > 0, y = 0. (X,Y)= ( ) +-/7.14 points My Notes Solve the LP problem. If no optimal solution exists because there is no Solution Set, enter EMPTY. If no optimal solution exists because the region is unbounded, enter UNBOUNDED. Note that an unbounded region can still have an optimal solution while a bounded region is guaranteed to have optimal solutions. HINT [See Example 1.] Maximize and minimize p = x + 2y subject to x + y28 x + y s 10 X-V58 x-y -8. Minimum: p = (x,y) =(
Answers
The optimal solution to the LP problem is (x,y) = (8,10). The objective function is minimized at this point, with a minimum value of 18.
We can solve this LP problem by using the graphical method.
First, we plot the constraints:
x + 3y <= 28 --> y <= -(1/3)x + 28/3
5x + y <= 28 --> y <= -5x + 28
x >= 0
y >= 0
Next, we find the feasible region formed by the intersection of these constraints. This region is a bounded polygon and is shown in blue in the figure below.
Finally, we find the point in the feasible region that minimizes the objective function c = x + 2y. We do this by plotting the objective function as a straight line with slope equal to 2 and y-intercept equal to 0. The line should pass through the feasible region and intersect it at the point with the minimum value of c.
From the figure, we can see that the line intersects the feasible region at the point (8, 10), which is the minimum value of c = x + 2y, with a minimum value of 18.
Therefore, the optimal solution to the LP problem is (x,y) = (8,10).
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What is the angles to this
Answers
Answer:
AA
Step-by-step explanation:
cus it can't be the other cus there is no side
I need help on This question I’ll give you brainliest
Answers
x^2-20x+99 = (x-9)(x-11)
99: 1, 3, 9, 11, 33, 99
What’s the slope? Please help
Answers
The slope of the linear relationship is -4/6
How to determine the slope of the lineThe general formula for the equation of a line is expressed as;
y = mx + c
Given that the parameters are;
y is a point on the y -axis of the linem is the slope of the linex is a point on the x - axis of the linec is the intercept of the line on the y-axisThe formula for determining the slope of a line is expressed as;
Slope, m = y₂ - y₁/x₂ - x₁
From the diagram shown, we have to substitute the values into the formula, we get;
Slope, m = -6 - (-2)/11 - 5
Expand the bracket
Slope,m = -6 + 2/6
Subtract the values
Slope, m = -4/6
Hence, the value is -4/6
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two supplementary angles are in the ratio of 2 to 3 the number of degrees in the smaller angle is what
Answers
the number of degrees in the smaller angle is 60 degrees.
The smaller angle is 60 degrees.
Let x = number of degrees in the smaller angle
Then the number of degrees in the larger angle = 3x
Given that the two angles are in the ratio of 2 to 3
2x = 3x
x = 60
Therefore, the number of degrees in the smaller angle is 60 degrees.
The two supplementary angles are supplementary angles because the sum of their angles is 180 degrees. This means that if we denote the number of degrees in the smaller angle as x, then the number of degrees in the larger angle must be 180-x. We know that their ratio is 2 to 3, which can be written as 2x = 3(180-x). Solving this equation gives us x = 60, so the number of degrees in the smaller angle is 60.
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which of the following schedules is recoverable, but does not avoid cascading rollback and is not serializable?
Answers
A number of schedule that is recoverable but does not avoid cascading rollback and is not serializable is a schedule that contains interleaved operations from two or more transactions that conflict with each other.
For example, Transaction A writes to a data item, then Transaction B reads the same data item, then Transaction A commits has number of , and finally Transaction B commits. In this case, the schedule is recoverable, since both transactions will eventually commit, but it is not serializable, since Transaction B has read a data item that was written by Transaction A after Transaction B began but before Transaction A committed. Furthermore, it does not avoid cascading rollback, since if Transaction A is rolled back, then Transaction B will also need to be rolled back.
which of the following schedules is recoverable, but does not avoid cascading rollback and is not serializable?
A. Schedule A: T1 {R1(A); W2(C)} T2 {R2(B); W1(A)}
B. Schedule B: T1 {R1(A); W1(A)} T2 {R2(B); W2(C)}
C. Schedule C: T1 {R1(A); W2(C)} T2 {R2(B); W2(C)}
D. Schedule D: T1 {R1(A); W2(C)} T2 {R2(B); W2(A)}
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find the pattern 1,3,2,6,4,12
Answers
Answer: x3
Step-by-step explanation:
Please help, I'm stuck in this math problem
Answers
The quotient is 32 and the remainder is 6.
i.e,
32 R6
Option A is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
774 ÷ 24
24 ) 774 ( 32
768
6
The quotient is 32 and the remainder is 6.
Now,
We can write in this form,
(Quotient) R(remainder)
Thus,
The quotient is 32 and the remainder is 6.
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The solution to 7(b-1)/b ≤0 is:
0
O 0
O 0>b≥1
O. 0≥b>1
Answers
The solution to the given inequality is b ≤ 1.
What are Inequalities?Inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥.
Given inequality expression is,
7 (b - 1) / b ≤ 0
(7b - 7) / b ≤ 0
(7b / b) - (7 / b) ≤ 0
7 - 7/b ≤ 0
Adding 7/b on both sides,
7 ≤ 7/b
Multiplying b on both sides,
7b ≤ 7
b ≤ 1
Hence the value of b is b ≤ 1.
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ABC + DEF = GHI
Using digits 1 through 9, find the greatest value of GHI, where each letter is represented by a different digit.
Answers
The greatest value of GHI that can be achieved using digits 1 through 9, where each letter is represented by a different digit, is 984.
The greatest value of GHI can be found using the following formula:
GHI = 987 - (ABC + DEF)
Using this formula, we can solve for GHI by substituting the values for ABC, DEF, and 987. For the highest value of GHI, we can set ABC and DEF to the lowest possible values, 1 and 2 respectively. This gives us the following equation:
GHI = 987 - (1 + 2)
GHI = 984
Therefore, the greatest value of GHI that can be achieved using digits 1 through 9, where each letter is represented by a different digit, is 984.
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Abdoulaye bought headphones online for $57. He used a coupon code to get a 40% discount. The website also applied a 15% processing fee to the price after the discount. How much was the discount, in dollars and cents?
Answers
The discount in the price of the headphones is of $17.67
How much was the discount?
If we apply a discount of D (D is the percentage in decimal form).
Then the new value (using A as the initial value) is:
A' = A*(1 - D)
If instead, we have an increase of I (also in decimal form) the new value is:
A' = A*(1 + D)
Here the original value is $57, and we have a discount of 0.4 and an increase of 0.15, then the new value will be:
A' = $57*(1 - 0.4)*(1 + 0.15) = $39.33
Then the discount is of:
$57 - $39.33 = $17.67
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X(x+8)=-20
Help solve with work
Answers
Answer:
-4+4i and -4-4i
Step-by-step explanation:
To start off, we can distribute the x into the x+8 to get x^2 + 8x = -20. From here we can create a polynomial by moving the -20 to the other side by adding 20 to both sides to get x^2 + 8x +20 =0. From here we can check if there is any real solutions by finding the discriminant (the sqrt part of the quadratic formula) so 8^2-4(1)(20). 16-80. Because this gets us a negative number in an actual square root, there answers we would get would be imaginary.
However to solve what the roots are, we would plug the entire equation into the quadratic equation. Getting -8+- sqrt(-64)/2 which simplified is -4+-4i. Therefore our two answers are -4+4i and -4-4i
Mr. Kenmar has
28 peppers to sell. He packages the peppers into
equal groups of 4. How many packages can
Mr. Kenmar make? Explain how you solved.
Answers
Explanation- 28 divided by 4 equals 7
Answer:
Kenmar can make 7 packages of peppers, since 28 divided by 4 is 7. To solve, I divided 28 by 4 and got the answer of 7.
Step-by-step explanation:
Swim flippers are helpful for scuba diving. sam has 40 pairs of flippers that he rents out to customers. thirty percent are currently rented out how many pairs of flippers are currently rented out
Answers
try 13 pairs of flippers
It’s in between 10 and 15
Find the value of each variable in the parallelogram.
Answers
Answer:
x=9
y=15
Step-by-step explanation:
Since it is a parallelogram, there is a property of a parallelogram that says that opposite sides are congruent/equal. So x would equal to 9 and y is equal to 15
Answer:
Step-by-step explanation:
X = 9
Y = 15
statistics values parameters
Answers
Answer:
Step-by-step explanation:
18. Relative to a fixed origin O, the points A, B and C have position vectors given respectively by i+j, -2i+k, and 2 i + j+3k. (a) State the vector equation of line OC. (b) If the point P lies on the line OC such that PA PB has the minimum value, find the coordinates of P.
Answers
Answer:
Step-by-step explanation:
e.g. r = 2i – k + λ(4i – 7j + 5k).
Solve |x + 3 = -7. Please help
Answers
Answer:
B. No solution
Step-by-step explanation:
The output of an absolute value function can never be a negative number.
Absolute value is the distance between a number |x| and 0 and that distance will always be positive.
Answer: B: No solution
Step-by-step explanation:
Please help fast
And explain too
Answers
The simplified expression is (11/4)z + (15/2).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
3/4 (z + 2/5) + 2z
Multiplication over addition.
= (3/4)z + (3/4)x(2/5) + 2z
= (3/4)z + (15/2) + 2z
Combining the like terms.
= (3/4)z + 2x + (15/2)
= (11/4)z + (15/2)
Thus,
(11/4)z + (15/2) is the simplified expression.
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Verify that the indicated function is an explicit solution of thegiven differential equation. Assume an appropriate intervalI of the definition for each solution.
dy/dt + 20y = 24; y = 6/5 - (6/5)e-20t
Answers
To verify that the given function is an explicit solution of the given differential equation, we can plug it into the differential equation and see if it satisfies the equation.
Plugging in the given function, we get: dy/dt + 20y = 24; (6/5)e-20t - 6/5 = 24. Simplifying, we get 0 = 0, which is true. This means that the given function is an explicit solution of the differential equation, and it is valid on any interval I.
To find a function solution to a differential equation, you must first identify the type of equation you are dealing with. If it is a linear equation, you can use the method of integrating factors or the method of undetermined coefficients, depending on the equation.
If it is a nonlinear equation, you can use the method of separation of variables, the method of substitution, or the method of series solutions. Once you have identified the equation, you can use the appropriate method to find the solution.
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1. A sample of two printed circuit boards is selected without replacement from a batch. Describe the ordered) sample space for each of the following batches: (a) The batch contains 90 boards that are not defective, 8 boards with minor defects, and boards with major defects. (b) The batch contains 90 boards that are not defective, 8 boards with minor defects, and 1 board with major defects. 2. A wireless garage door opener has a code determined by the up or down setting of 12 switches. How many outcomes are in the sample space of possible codes?
Answers
The sample space of possible codes for the wireless garage door opener is 4096.
(a) The sample space for this batch of printed circuit boards would be 98 total boards, ordered such that the non-defective boards are first (90 boards), followed by minor defects (8 boards) and major defects (0 boards). The total number of ordered samples is given by the formula: nPr = n!/(n-r)! where n is the total number of boards in the batch and r is the number of boards selected from the batch. In this case, n = 98 and r = 2, making the total number of ordered samples 9703.
(b) The sample space for this batch of printed circuit boards would be 99 total boards, ordered such that the non-defective boards are first (90 boards), followed by minor defects (8 boards) and major defects (1 board). The total number of ordered samples is given by the formula: nPr = n!/(n-r)! where n is the total number of boards in the batch and r is the number of boards selected from the batch. In this case, n = 99 and r = 2, making the total number of ordered samples 9801.
For the wireless garage door opener, the code is determined by the up or down setting of 12 switches. This means that each switch can either be up or down for a total of 2 possible settings for each switch. The total number of possible codes is given by the formula [tex]2^12[/tex], which is equal to 4096. This is because each switch has 2 possible settings, and when multiplied by 12 switches, there are [tex]2^12[/tex] possible combinations. Therefore, the sample space of possible codes for the wireless garage door opener is 4096.
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will give brainliest
Answers
Explanation
Nicole had a collection of 60 stuffed animals. She gave away 5 stuffed animals per month until all her stuffed animals were gone. Which graph best represents this situation?
Answers
The graph will have a slope of 15 and is attached with the answer below.
What is a constant of proportionality?The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.
When y and x are two quantities that are directly proportional to one another, the proportionality constant k is defined as k=y/x.
Given that Nicole had a collection of 60 stuffed animals. She gave away 5 stuffed animals per month until all her stuffed animals were gone.
The equation can be written as:-
y = kx
The value of k will be calculated as :-
60 = k x 5
k = 60 / 5
k = 12
The equation will be:-
y = 12x
The graph of the linear relation is attached with the answer below.
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Calculators were purchased at $80 per dozen and sold at $25 for three calculators. What is the profit on six dozen calculators?
Answers
Answer:
$120
Step-by-step explanation:
Buying price
$80×6= $480
Selling price
$25×4×6= $600
Profit
$600-$480=$120
The profit on six dozen calculators is $120.
To calculate the profit on six dozen calculators, we need to find the cost of purchasing six dozen calculators and the revenue from selling six dozen calculators.
Step 1: Calculate the cost of purchasing six dozen calculatorsSince each dozen costs $80, the cost of purchasing six dozen calculators is:
$80 x 6 = $480
Since three calculators are sold for $25, the revenue from selling six dozen calculators is:
$25 x (6 x 12/3) = $25 x 24 = $600
The profit is the revenue minus the cost:
$600 - $480 = $120
The profit on six dozen calculators is $120.
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How much of a radioactive kind of nitrogen will be left after 30 minutes if you start with
1,920 grams and the half-life is 10 minutes?
grams
Answers
The amount of radioactive kind of nitrogen will be left after 30 minutes
is 240 grams.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A radioactive kind of nitrogen has an initial mass of 1930 grams and it has a half-life of 10 minutes.
Therefore, The amount of radioactive kind of nitrogen that will be there after 30 minutes is,
= 1920/2³. (As 30 = 10×3)
= 1920/8.
= 240 grams.
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4x+y=10 what is the answer
Answers
Answer:
Answer for X
[tex]4x + y = 10[/tex]
[tex](4x + y) + ( - y) = 10 - y[/tex]
[tex]4x = 10 - y[/tex]
[tex] \frac{4x}{4} = \frac{10 - y}{4} [/tex]
[tex]x = \frac{10 - y}{4} [/tex]
Answer for y
[tex]4x + y = 10[/tex]
[tex](4x + y) + ( - 4x) = 10 - 4x[/tex]
[tex]y = 10 - 4x[/tex]