Answer:
$82.50
Step-by-step explanation:
Vanessa tried to solve an equation step by step.−12=4(f-6)
Step 1. -12=4f−24
Step 2. 12=4f
Step 3. 4=f
Find Vanessa's mistake.
It step 3 I got The same question on khan academy
Solve x to the nearest tenth
The value of x is 4.47 units
In the given figure, there are two right angle triangle, to find the value of x we have to solve each triangle using the Pythagorean theorem.
Consider the bottom triangle
Base of the triangle = 6 units
The hypotenuse of the triangle = 9 units
Apply the Pythagorean theorem
The third side of the triangle = \(\sqrt{9^2-6^2}\)
= \(\sqrt{81-36}\)
= \(\sqrt{45}\) units
Similarly consider the top triangle
The base of the triangle = 5 units
The hypotenuse of the triangle = \(\sqrt{45}\) units
The third side of the triangle = \(\sqrt{\sqrt{45}^2- 5^2}\)
= \(\sqrt{45-25}\)
= \(\sqrt{20}\)
= 4.47 units
Hence, the value of x is 4.47 units
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Ethan is 1.85 meters tall. At 10 a.m., he measures the length of a tree's shadow to be 28.45 meters. He stands 24.3 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
The height of the tree that casts a shadow is 28.45 meters will be 12.68 meters.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
Ethan is 1.85 meters tall. At 10 a.m., he measures the length of a tree's shadow to be 28.45 meters. He stands 24.3 meters away from the tree.
Then the height of the tree is given as,
h / 1.85 = 28.45 / (28.45 - 24.3)
h / 1.85 = 28.45 / 4.15
h = 1.85 x 28.45 / 4.15
h = 12.68 meters
The height of the tree that casts a shadow is 28.45 meters will be 12.68 meters.
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to take quizzes, each of 30 students in a class is paired with another student. if the pairing is done randomly, what is the probability that margo is paired with her best friend, irma? express your answer as a common fraction.
The probability of Margo being paired with Irma will be = 1/29
As per the data given,
Total number of students participated in the quiz = 30
Since each student must be paired with exactly one other student, there are 29 possible students that Margo could be paired with.
Since Irma is Margo's best friend, there is only one possibility for Margo's pairing that would result in her being paired with Irma.
The probability of Margo being paired with Irma is 1 out of 29 possible pairings, so the answer is = 1/29
This is the exact probability, expressed as a common fraction.
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Point (2, 4) is reflected across the x-axis. What are
the coordinates of its image?
Answer:
The coordinates of its image are (2, -4)
Step-by-step explanation:
Let us revise the rules of reflection across the axes
If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y) If the point (x, y) reflected across the y-axis, then its image is (-x, y), the rule of reflection is ry-axis (x, y) → (-x, y)∵ The point (2, 4) is reflected across the x-axis
→ By using the first rule above rx-axis (x, y) → (x, -y)
∴ Change the sign of its y-coordinate
∴ Its image is (2, -4)
∴ The coordinates of its image are (2, -4)
The vector u has magnitude 3 and direction 160°. If vector v = 2u, then what is
the magnitude and direction of vector v?
Therefore, the magnitude of vector v is 6 and its direction is 160°.
What is magnitude?Magnitude generally refers to the size or extent of something. The term is often used in different contexts, and its meaning can vary depending on the specific field or area of application. Here are a few examples of how magnitude can be defined in different contexts:
Physics: In physics, magnitude usually refers to the size or amount of a physical quantity, such as distance, speed, acceleration, force, or energy. Magnitude can be measured in various units, such as meters, seconds, meters per second, Newtons, or Joules.
Earthquakes: In seismology, magnitude is a measure of the strength or intensity of an earthquake, which is usually expressed on the Richter scale or the moment magnitude scale. The higher the magnitude, the more energy is released by the earthquake, and the stronger its impact on the ground and structures.
The magnitude of vector v is given by:
|v| = |2u| = 2|u| = 2(3) = 6
Therefore, the magnitude of vector v is 6.
The direction of vector v is the same as the direction of vector u, since multiplying a vector by a scalar does not change its direction, only its magnitude. So the direction of vector v is also 160°.
Therefore, the magnitude of vector v is 6 and its direction is 160°.
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What’s the surface area of this prism ?
Hence the required surface area is 228cm²
What is surface area?
The surface area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well.
Given:
A triangular prism and its net.
To find:
Side lengths for the net.
Surface area of the triangular prism.
Solution:
Side lengths for the net:
A= 4 cm
B= 10 cm
C= 6 cm
D= 8 cm
Surface area:
\(sa = bh +(b1 +b2+b3)l\\\\sa=6(8) +(6+4+8)\times10\\\\sa= 48 +18(10)\\\\sa=48+180\\\\sa=228 cm^2\)
Hence the required surface area is 228cm²
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You are given the different weight (in kg) of lanzones by kaing use the stem-and-leaf display to organize the following data set.
The stem-and-leaf display allows us to visualize the distribution of the data set while preserving the individual data points. It provides a concise summary of the data set's values and their frequencies.
To organize the given data set of the weight of lanzones by kaing using a stem-and-leaf display, we can follow these steps:
Sort the data set in ascending order.
Identify the tens digit (stem) and the ones digit (leaf) for each data point.
Create a vertical column for the stems and list them in ascending order.
Write the corresponding leaves next to each stem, aligned vertically.
For example, if the data set consists of the following weights: 2.5, 3.1, 2.8, 4.2, 3.9, 2.3, 3.5, 3.7, 4.0, 2.6.
The stem-and-leaf display would look like this:
2 | 3 5 6 8
3 | 1 5 7 9
4 | 0 2
In this display, the stem represents the tens digit, while the leaves represent the ones digit. Each leaf corresponds to one data point.
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consider an interval from 0 to 1 with ten uniformly distributed points in it. what is the distribution of the difference between the 6th and the 5th smallest point?
Answer: It has to be between 0.1 to 0.3
Step-by-step explanation:
what is the length of the hypotenuse if it's 8m and 15m?
In this case the answer is very simple. .
Step 01:
Data
side a = 8m
side b = 15m
c = hypotenuse = ?
Step 02:
Pythagoras Theorem Formula
Hypotenuse² = Perpendicular² + Base²
c² = a² + b²
c ² = (8m)² + (15m)²
c ² = 64m² + 225m²
c ² = 289m²
\(undefined\)Tom and Sally are at a carnival. At the carnival, participants earn tickets while playing different games. The tickets can then be turned in for prizes. Tom earns 5 tickets each time he plays the ring toss and 3 tickets each time he plays the fishing game. Sally earns 3 tickets for ring toss and 4 tickets for the fishing game. Tom needs to earn at least 15 tickets for the prize he wants. Sally needs to earn more than 12 tickets for the prize she wants.
a. Write a system of two linear inequalities to model the number of tickets Tom and Sally need to earn based on the number of times they play ring toss (x) and the number of times they play the fishing game (y).
b. What is the least number of times Sally needs to play only the ring toss in order to have enough tickets for the prize she wants?
c. Tom decides to play ring toss only 1 time. After that he will play the fishing game. What is the least amount of time Tom needs to play the fishing game in order to have enough tickets for the prize he wants?
a. The system of two linear inequalities to model the number of tickets Tom and Sally need to earn based on the number of times they play ring toss (x) and the number of times they play the fishing game (y) is as follows:
For Tom: 5x + 3y ≥ 15 (Tom needs to earn at least 15 tickets)
For Sally: 3x + 4y > 12 (Sally needs to earn more than 12 tickets)
b. The least number of times Sally needs to play only the ring toss in order to have enough tickets for the prize she wants is 5 times.
c. The least amount of time Tom needs to play the fishing game in order to have enough tickets for the prize he wants is 4 times.
a. Let's define the variables x and y as the number of times Tom and Sally respectively play the ring toss game, and z and w as the number of times Tom and Sally respectively play the fishing game.
Based on the given information, we can write the following system of linear inequalities:
For Tom:
5x + 3z ≥ 15 (Tom needs to earn at least 15 tickets)
For Sally:
3y + 4w > 12 (Sally needs to earn more than 12 tickets)
b. To find the least number of times Sally needs to play only the ring toss, we can set the number of times she plays the fishing game (w) to zero and solve for y:
3y + 4(0) > 12
3y > 12
y > 4
Sally needs to play the ring toss more than 4 times in order to have enough tickets for the prize she wants.
c. Tom decides to play ring toss only 1 time.
After that, he will play the fishing game.
Let's find the least amount of time Tom needs to play the fishing game (z) in order to have enough tickets:
5(1) + 3z ≥ 15
5 + 3z ≥ 15
3z ≥ 10
z ≥ 10/3
Since the number of times Tom plays the fishing game cannot be fractional, we round up the result to the nearest whole number. Therefore, Tom needs to play the fishing game at least 4 times in order to have enough tickets for the prize he wants.
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Activity in this activity, you will first find the squares of positive and negative numbers. then you will determine whether the solution to an equation is a perfect square. question 1 part a complete the table by squaring each positive x-value listed.
The complete table is shown below.
What is square root?A number's square root is the factor that can be multiplied by itself to yield that number. The square root of, the end square root is the symbol for the square root. Finding an integer's square root is the inverse of squaring a number.Complete the table as follows:
\(2^{2} = 2*2 = 4\\3^{2} = 3*3 = 9\\4^{2} = 4*4 = 16\\5^{2} = 5*5=25\\6^{2} =6*6=36\\7^{2} =7*7=49\\8^{2} =8*8=64\\9^{2} =9*9=81\\10^{2} =10*10=100\\11^{2} =11*11=121\)
Therefore, the complete table has been shown.
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The question you are looking for is here:
Complete the table by squaring each positive x-value listed 2, 3,4,5,6,7,8,9,10,11.
Find the exact length of the given parametric curve.
X= t-3t^3,y = 3t^2 ,0 < t <2
The exact length of the parametric curve is approximately 9.023 units.
How to find the length of the parametric curve?To find the length of the parametric curve given by\(X = t - 3t^3\) and \(Y = 3t^2\), where 0 < t < 2, we can use the formula for the arc length of a parametric curve:
\(L = \int_a^b \sqrt(dx/dt)^2 + (dy/dt)^2 dt\)
where a and b are the limits of the parameter t.
In this case, we have:
\(dx/dt = 1 - 9t^2\)
dy/dt = 6t
Therefore,
\((\sqrt(dx/dt)^2 + (dy/dt)^2) = \sqrt((1 - 9t^2)^2 + 36t^2)\)
The limits of integration are 0 and 2, since 0 < t < 2.
So, the length of the curve is:
\(L = \int_0^2 \sqrt((1 - 9t^2)^2 + 36t^2) dt\)
This integral is difficult to solve analytically, but we can use numerical methods to approximate its value.
Using a numerical integration method such as Simpson's rule with a large number of subintervals, we find that the length of the curve is approximately 9.023 units.
Therefore, the exact length of the parametric curve is approximately 9.023 units.
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. a true/false pop quiz contains five questions. what is the probability that when guessing, a student will get at least one question correct? (round to the nearest hundredth)
The probability that a student will get at least one question correct is 96.875%.
Given that a true/false pop quiz contains five questions.
We have to find the probability that when guessing, a student will get at least one question correct.
For every question, there are only two possible cases. Either it is guessed correctly, or it is not.
So, here the binomial probability distribution is used to solve this question.
The binomial probability states that the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
P(X=x)=ⁿCₓpˣ(1-p)ⁿ⁻ˣ
Here ⁿCₓ shows the number of different combinations of x objects from a set of n elements.
We want to find the probability for at least one correct solution that means P(X≥1)=1-P(X=0) .....(1)
So, firstly, we will find P(X=0) by using binomial distribution.
Here, x=0, n=5 and p=1/2
Substitute these values, we get
P(X=0)=⁵C₀(1/2)⁰(1-(1/2))⁵⁻⁰
P(X=0)=⁵C₀(1/2)⁰(1/2)⁵
P(X=0)=0.03125
Substitute these values in equation (1), we get
P(X≥1)=1-0.03125
P(X≥1)=0.96875 or 96.875%
Hence, the probability that when guessing, a student will get at least one question correct when a true/false pop quiz contains five questions is 96.875%.
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How do you write -0.2 repeating as a fraction?
True or False: A multiple regression is called "multiple" because it has several dependent variables.
Answer:
FALSE is the answer for your question
WHAT IS 7+2 "I NEED HELP"
Answer:
9
Step-by-step explanation:
7+2=9 goofy
Answer:
9
Step-by-step explanation:
7
+ 2
= 9
100 POINTS!!! can someone help me please?? will give brainliest if correct!!
Answer:
k= 15
Step-by-step explanation:
Answer:
k =15 and please give brainliest
Step-by-step explanation:
what are two values of 5x-6
The two values of the expression 5x - 6 are -6 and 9 when x takes the values of 0 and 3, respectively.
We have,
To find two values of the expression 5x - 6, we need to assign different values to x and evaluate the expression.
Let's choose two arbitrary values for x and calculate the corresponding values of 5x - 6:
If we let x = 0:
5x - 6 = 5(0) - 6 = -6
If we let x = 3:
5x - 6 = 5(3) - 6 = 15 - 6 = 9
Therefore,
The two values of 5x - 6 are -6 and 9 when x takes the values of 0 and 3, respectively.
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a point is randomly picked from inside the rectangle with vertices , , , and . what is the probability that ?
The probability that x < y is 1/8 or 0.25 .
What is probability of an event?
The possibility or chance of an event happening is commonly believed to be the probability of it happening. In the most basic scenarios, the probability that a specific event 'A' will occur as a result of an experiment is calculated by dividing the number of ways that 'A' can happen by the total number of possible outcomes.
P(A) = Number of events concerning 'A' / Total events in consideration.
Given, the vertices of the rectangle are (0, 0), (4, 0), (4, 1), (0, 1).
On carefully analyzing and plotting the vertices roughly, we get that the given rectangle has a width of 4 units and a height of 1 unit.
Therefore, the area of the given rectangle = Width*Height = 4*1 = 4 units²
Also, it can be assessed that the line x = y passes through the points of the rectangle at (0, 0) and (1, 1).
Thus, the area for which x < y will be an isosceles triangle with side length of 1 units and co-ordinates of vertices as (0, 0), (0, 1) and (1, 1).
The area of the isosceles triangle thus assumed = 0.5 × 1² = 0.5 units²
Probability that x < y is P(E): 0.5/4 = 1/8 = 0.25
Therefore, the probability that x < y is 1/8 or 0.25 .
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Simplify 1/2(12x-16)+3x
12x-16/2+3x
is your answer
Answer:
12x(3 + 3x)
(3 * 12x + 3x * 12x)
(36x + 36x2)
Step-by-step explanation:
so (36x + 36x2) is the answer
Find ltee delerminant of A= ⎝
⎛
0
2
0
−2
1
4
3
−4
3
−6
9
1
−1
1
2
−3
⎠
⎞
Find the cofectior of 7 in the matruc A= ⎝
⎛
2
5
4
3
1
−4
0
−2
−1
7
6
5
4
−2
−3
2
⎠
⎞
The cofactor of 7 in matrix A is 18.
To find the determinant of the matrix A, we can use cofactor expansion. Let's use the first row for this example. The determinant of A can be calculated as:
|A| = 0 * |B| - 2 * |C| + 0 * |D| - 2 * |E|,
where |B|, |C|, |D|, and |E| are the determinants of the respective submatrices obtained by removing the corresponding row and column.
Calculating the determinants of the 3x3 submatrices, we get:
|B| = |4 3 -4; -6 9 1; 1 2 -3| = 6,
|C| = |1 3 -4; 3 9 1; -1 2 -3| = -60,
|D| = |1 4 -4; 3 -6 1; -1 1 -3| = -7,
|E| = |1 4 3; 3 -6 9; -1 1 2| = -138.
Substituting these values into the expression, we have:
|A| = -2 * (1) * 6 - 2 * 7 * (-138) = 2768.
Therefore, the determinant of matrix A is 2768.
To find the cofactor of 7, we need to find the 2x2 submatrix that does not contain 7 and calculate its determinant. Let's choose the submatrix that lies in the second row and first column:
|F| = |2 4; 3 -3| = -18.
The cofactor of 7 is given by:
Cofactor_7 = (-1)^(2+1) * (-18) = 18.
Therefore, in matrix A, the cofactor of 7 is 18.
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Joan bought a 3-pound bag of shrimp for 19.55. What is the unit price per ounce of shrimp?
Answer:
$0.407291667 per ounce
Step-by-step explanation: there are 16 ounces in a pound. 16 times 3 is 48.
in order to find the price per ounce, we need to divide the total price by the number of ounces
19.55/48 is 0.407291667
Rectangle abcd was dilated to create rectangle a'b'c'd. What is ab? 6 units 7. 6 units 9. 5 units 12 units.
the length of side a'b' will be greater than the length of side ab. The length of side a'b' is 12 units.
Rectangle abcd is a 4-sided shape with sides of length a, b, c, and d. When a rectangle is dilated, it is enlarged or scaled up. The length of the sides of the new rectangle, a', b', c', and d', will be greater than the original sides of the rectangle abcd. Therefore, the length of side a'b' will be greater than the length of side ab. The length of side a'b' is 12 units.
The length of side ab of the new rectangle (a'b'c'd) is 12 units, since it was dilated from 4 units and 6 units (abcd).
The complete question is :
Rectangle abcd has side lengths of 4 units and 6 units. It was dilated to create rectangle a'b'c'd. What is the length of side ab of the new rectangle?
6 units
7. 6 units
9. 5 units
12 units.
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A, b, c, and d-length sides make up the four-sided rectangle abcd. A rectangle is expanded or scaled up when it is dilated. The new rectangle's sides, a', b', c', and d', will all be longer than the rectangle's initial sides, abcd. As a result, side a'b' will have a length that is longer than side ab. Side a'b' measures 12 units in length.
6 units
7. 6 units
9. 5 units
12 units.
PLEASE ANSWER THIS IS REALLY IMPORTANT!!!
Use the proportion d / 180° = r radians/πradians . Find the equivalent degree measure or radian measure 415°
Answer:
the answer is the 235⁰ ok that
38. let n be a positive integer whose decomposition into prime factors has no repeated prime. let b = {x | x is a divisor of n}. for example, if n = 21 = 3•7, then b = {1, 3, 7, 21}. let the following operations be defined on b: x + y = lcm(x, y) x • y = gcd(x, y) x′ = n/x then + and • are binary operations on b and ′ is a unary operation on b. 38a. for n=21,find {15 pts total; answer parts i. - v.} (i) 3 • 7 (ii) 7 • 21 (iii) 1 + 3 (iv) 3 + 21 (v) 3′
For all positive integer, (i) The result of 3 • 7 is 1. (ii) The result of 7 • 21 is 7. (iii) The result of 1 + 3 is 3. (iv) The result of 3 + 21 is 21. (v) The result of 3′ is 7.
(i) 3 • 71
To find the result of 3 • 7, we need to calculate the greatest common divisor (gcd) of 3 and 7.
The gcd(3, 7) = 1, which means that the only positive integer that divides both 3 and 7 without leaving a remainder is 1.
The result of 3 • 7 is 1.
(ii) 7 • 21
7
To find the result of 7 • 21, we need to calculate the gcd of 7 and 21.
The gcd(7, 21) = 7, which means that the only positive integer that divides both 7 and 21 without leaving a remainder is 7.
The result of 7 • 21 is 7.
(iii) 1 + 3
3
To find the result of 1 + 3, we need to calculate the least common multiple (lcm) of 1 and 3.
The lcm(1, 3) = 3, which means that the smallest positive integer that is divisible by both 1 and 3 is 3.
The result of 1 + 3 is 3.
(iv) 3 + 21
21
To find the result of 3 + 21, we need to calculate the lcm of 3 and 21.
The lcm(3, 21) = 21, which means that the smallest positive integer that is divisible by both 3 and 21 is 21.
The result of 3 + 21 is 21.
(v) 3′
7\
To find the result of 3′, we need to divide n (which is 21) by 3.
21 divided by 3 equals 7.
The result of 3′ is 7.
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Point K is on line segment JL. Given JK=2x, KL=x+3, and JL=4x, determine the numerical length of KL
Answer:
6
Step-by-step explanation:
JK+KL=JL
2x + x + 3 = 4x
3x + 3 = 4x
-4x -4x
-x + 3 = 0
-3 -3
-x = -3
-x/-1 = -3/-1
x = 3
Plug in value of x to find KL:
JL = 4(3) = 12
it’s 6 because on the line it’s half; between JK and KL.
final answer:
KL = 6
The numerical length of KL is 6 units.
Given that, point K is on line segment JL, JK=2x, KL=x+3, and JL=4x.
We need to determine the numerical length of KL.
What is the line segment?In geometry, a line segment is a part of a line that is bounded by two distinct end points and contains every point on the line that is between its endpoints.
Now, JK+KL=JL
⇒2x + x + 3 = 4x
⇒3x + 3 = 4x
Subtract 3x on both sides of the equation.
That is, 3x + 3-3x= 4x-3x
⇒x=3
Now, substitute the value of x to find KL.
That is, KL = x+3= 6
Therefore, the numerical length of KL is 6 units.
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Mr Thompson drew a rectangle on the chalk board with a length to width ratio 5 to 2 he asked students to draw a rectangle with the same ratio of length to width in their journals. Audrey plans to draw a rectangle with a width of 6 centimetres .
get ratioed skull skull
she can make 4 basketballs in 1/2 hours.how many in 5 hours?
Answer: 40
Step-by-step explanation:
Answer:
40 basketballs in 5 hours
Step-by-step explanation:
If in 1/2 hour she makes 4, multiply it by 2 to know how much she can make in a wholw hour. So she can make 8
Multiply how much she can make every hour by the amount of hours.
8 x 5 = 40