Step-by-step explanation:
the figure I've circled is similar to yhe figure shown because when we compare the measurements of the length and breadth of both rectangles, we can see that both the rectangles have the see me measurements, 3ft and 7ft. The only difference however, is that the figures have been rotated differently, the figure shown is kept vertically, on the other hand, the figure I've circled is rotated horizontally.
hope that helps...
pls help i’ll give brainliest:( (no links)
In conditional probability, the notation P(
AB) is read:
"The probability of event A occurring given that event B has
occurred."
For example: In the following two-way table
P(Walk to school | Sophomore) = 37(2 + 25 + 3) = 0.1
Grade
Drive to school
Take the bus
Walk
Sophomore
2
25
3
Junior
13
20
2
Senior
25
5
5
P(Take the bus | Sophomore ) = [?]
Round to the nearest hundredth.
The value of the probability represented by P(Take the bus | Sophomore) is 0.83
What are conditional probabilities?Conditional probabilities are probabilities that only occurred because an event has already occurred i.e. they are dependent on the initial event
How to determine the conditional probabilities?From the table of values in the question, we have the following parameters:
Number of students that (Take the bus and Sophomore) = 25Number of students that are (Sophomore) = 2 + 25 + 3The required probability represented by P(Take the bus | Sophomore ) = [?] is then calculated as:
P(Take the bus | Sophomore) = Number of students that (Take the bus and Sophomore) divided by Number of students that are (Sophomore)
Substitute the known values in the above equation
P(Take the bus | Sophomore) = 25/(2 + 25 + 3)
Evaluate the sum in the denominator
P(Take the bus | Sophomore) = 25/30
Evaluate the above quotient
P(Take the bus | Sophomore) = 0.83
Hence, the value of the probability represented by P(Take the bus | Sophomore) is 0.83
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What value of b will make the equation a true statement? Explain how you arrived at your solution. (−34 + 43)+ b = 0
Answer:
b = -9
Step-by-step explanation:
Given the equation (−34 + 43)+ b = 0
We are to find the value of b
First solve for the value in parenthesis
(−34 + 43)+ b = 0
9+b = 0
Subtract 9 from both sides
9+b-9 = 0 - 9
b+0 = -9
b = -9
Hence the value of b will make the equation a true statement is -9
What is the slope of the line containing (-2,5) and (4,-4)?*
Answer:-3/2
Step-by-step explanation: Just did the test.
you go to a convenience store to buy candy and find the owner to be rather odd. he allows you to buy pieces in multiples of four, and to buy four, you need . he only allows you to do this by using pennies and dimes. you have a bunch of pennies and dimes, and instead of counting them, you decide to weigh them. you have g of pennies, and each penny weighs g. each dime weighs g. each piece of candy weighs g
To buy four pieces of candy from the odd owner, you need to have a specific number of pennies and dimes.
To buy candy from the odd owner, you need to use multiples of four. The problem states that each piece of candy weighs g, so to buy four pieces, you need g. The owner only accepts payment in pennies and dimes. Each penny weighs g, and each dime weighs g.
To figure out how many pennies and dimes you need to buy four pieces of candy, you can use the weight information. Since you have g of pennies, and each penny weighs g, you can calculate the number of pennies. This can be done by dividing the total weight of the pennies (g) by the weight of each penny (g). The result will give you the number of pennies you have.
Similarly, you have g of dimes, and each dime weighs g. By dividing the total weight of the dimes (g) by the weight of each dime (g), you can find the number of dimes you have.
Now, let's say the number of pennies you need to buy four pieces of candy is P, and the number of dimes you need is D. To find the values of P and D, you can set up an equation:
P * penny weight + D * dime weight = g.
This equation represents the total weight of the pennies and dimes you have.
Solving this equation will give you the values of P and D, which represent the number of pennies and dimes you need to buy four pieces of candy.
To buy four pieces of candy from the odd owner, you need to have a specific number of pennies and dimes. By using the weight information provided in the problem, you can calculate the number of pennies and dimes you have. You then set up an equation to determine the values of P and D, representing the number of pennies and dimes needed. Solving this equation will give you the required values, allowing you to conclude the number of pennies and dimes needed to buy four pieces of candy.
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An ice machine will produce 192 ice cubes in a 24 hour period. What is the rate of ice cubes per hour?
Answer:
7.5 cubes per hour
Step-by-step explanation
60 minutes times 24 hours divided by 192=7.5
explain why the function defined by M(t) = 2t + 1 has no maximum value on the interval [0,4)
The function defined by M(t) = 2t + 1 has no maximum value on the interval [0,4) as the derivative of m(t) is not equal to zero.
The maxima of the function can be calculated by the derivative of the function. The derivative is equated to 0 to calculate the critical points. If the second derivative is negative at this critical point then a maximum exists at this point.
The function is M(t) = 2t + 1 . Differentiate the function with respect to t. Now equate the derivative to 0. This will give the critical point. Since 2 is not equal to 0, the critical point does not exist on the curve of the function. Therefore, the function M(t) = 2t + 1does not have a maxima. M(t) = 2t + 1
d/dt M(t) = d/dt 2t + 1
= 2
d/dt m'(t) = 0
2 not equal to 0
The function does not have a critical point. Therefore, the maxima do not exist for the function.
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Given vector u = ⟨−3,−2⟩ and v = ⟨1,−5⟩,determine the value of u - 2v in component form.
The component form of the linear combination of the two vectors is u - 2v = < -5, 20>
How to find the vector u - 2v?Here we have the two vectors: u = <-3, -2> and v = <1, -5> We want to determine the value of the linear combination:
u - 2v
To do that we just add the correspondent components, then we get:
u - 2v = <-3, -2> - 2*<1, -5>
= <-3, -2> - <2*1, 2*-5>
= <-3, -2> - <2, -10>
= < -3 - 2, -2 -(-10)>
= < -5, 20>
That is the component form of the linear combination.
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Find the value of k for which the following system of linear equations has no solutions: (k-1)x - y = 5 and (k + 1) + (1 - k)y = (3k + 1).
If k = 2/3, the two lines will be parallel and the system of linear equations will have no solutions.
What is linear equation?An equation is a mathematical assertion in which the algebraic expression is separated by an equal symbol (=). Equations of degree 1 are linear equations. It is the straight line's equation. When values are replaced for the unknown values in linear equations' solutions, the equation is proved to be true. There is only one answer when there is only one variable.
We can solve this problem using the concept of parallel lines in the coordinate plane. If two lines are parallel, they will never intersect and therefore have no solutions in common.
To determine if the system of linear equations has no solutions, we need to check if the lines represented by the equations are parallel. To do this, we can rewrite the equations in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept:
(k-1)x - y = 5 --> y = (k-1)x - 5
(k + 1) + (1 - k)y = (3k + 1) --> y = (-k/2) + ((3k + 2)/2)
Comparing the slopes of the two lines, we can see that they are parallel when k - 1 = -k/2, since the slopes of the lines are k - 1 and -k/2, respectively.
Simplifying the equation k - 1 = -k/2, we get:
2k - 2 = -k
Adding k to both sides, we get:
3k - 2 = 0
Adding 2 to both sides, we get:
3k = 2
Dividing both sides by 3, we get:
k = 2/3
Therefore, if k = 2/3, the two lines will be parallel and the system of linear equations will have no solutions.
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You may need to use some creative strategies to rewrite the integral in the form of a known formula.
Completing the square: ∫ 2/√ -x² - 4x dx
DEFINITE integral:
1/2
∫ arccos x dx √1-x² . dx
0
The given definite integral ∫ arccos(x)√(1-x²) dx over the interval [0, 1/2] is to be evaluated. To rewrite the integral in a known form, a creative strategy is used by completing the square.
To evaluate the given integral, we can rewrite it using a creative strategy called completing the square. We start by observing that the integrand involves the square root of a quadratic expression, which suggests completing the square.
First, let's focus on the expression inside the square root, 1 - x². We can rewrite it as (1 - x)² - x(1 - x). Expanding and simplifying, we have (1 - x)² - x + x² = 1 - 2x + x² - x + x² = 2x² - 3x + 1.
Now, the integral becomes ∫ arccos(x)√(2x² - 3x + 1) dx. By completing the square, we can rewrite the quadratic expression as √2(x - 1/4)² + 15/16. This simplification allows us to rewrite the integral in the form of a known formula, specifically the integral of arccos(x)√(1 - x²) dx. Therefore, the integral becomes ∫ arccos(x)√(1 - x²) dx, which is a standard form with a known solution. We can proceed to evaluate this integral using appropriate techniques.
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is an acute triangle sometimes, always or never equilateral? if the answer is always or never explain how you know.
An acute triangle is never equilateral. The reason is that in an acute triangle, all three angles are less than 90 degrees. An equilateral triangle has three equal angles, each measuring 60 degrees. Since all angles of an acute triangle are less than 90 degrees, none of them can be equal to 60 degrees, which is necessary to form an equilateral triangle.
As a result, an acute triangle cannot be equilateral. An acute triangle is a triangle in which all three angles are acute, meaning that each angle is less than 90 degrees. On the other hand, an equilateral triangle is a triangle with three sides of equal length and three equal angles. Since all angles of an acute triangle are less than 90 degrees, none of them can be equal to 60 degrees, which is necessary to form an equilateral triangle.
Therefore, an acute triangle cannot be equilateral. In conclusion, an acute triangle can never be equilateral, because an equilateral triangle requires all three angles to measure 60 degrees, while all three angles of an acute triangle are less than 90 degrees.
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Which of the following statements shows the distributive property?5(4 – 2) = 20 – 105 + (4 – 2) = 20 – 105(4 – 2) = 9 – 75 + (4 – 2) = 9 + 3
Distributive property of multiplication over subtraction
\(a\times(b-c)=a\times b-a\times c\)where a, b, and c are some numbers.
Substituting with a = 5, b = 4, and c = 2, we get:
\(5\times(4-2)=5\times4-5\times2=20-10\)
For a recent paint job, Josh mixed red and white paint to make two different shades of pink. When the job was done, Josh ended up with leftover paint: 5 gallons of dark pink paint (80% red) and 4 gallons of light pink paint (30% red). Josh wants to make a medium pink color (50% red) to paint his daughter's bedroom. He will need 3 gallons to completely cover the walls. How much of each of the leftover paints should Josh mix to achieve his desired color?
? gallons of dark pink paint
? gallons of light pink paint
Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.
To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.
Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.
The total amount of paint needed is 3 gallons, so we have the equation:
x + y = 3
The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:
(80/100)x + (30/100)y = (50/100)(x + y)
Simplifying this equation, we get:
0.8x + 0.3y = 0.5(x + y)
Now, we can solve this system of equations to find the values of x and y.
Let's multiply both sides of the first equation by 0.3 to eliminate decimals:
0.3x + 0.3y = 0.3(3)
0.3x + 0.3y = 0.9
Now we can subtract the second equation from this equation:
(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)
-0.5x = 0.9 - 0.5x - 0.5y
Simplifying further, we have:
-0.5x = 0.9 - 0.5x - 0.5y
Now, rearrange the equation to isolate y:
0.5x - 0.5y = 0.9 - 0.5x
Next, divide through by -0.5:
x - y = -1.8 + x
Canceling out the x terms, we get:
-y = -1.8
Finally, solve for y:
y = 1.8
Substitute this value of y back into the first equation to solve for x:
x + 1.8 = 3
x = 3 - 1.8
x = 1.2
Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.
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the segment shown below would form a triangle 9 4 11
use polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise. a frog is at the bottom of a 19-foot well. each time the frog leaps it moves up 3 feet. if the frog has not reached the top of the well, then the frog slides back 1 foot before it is ready to make another leap. how many leaps will the frog need to escape the well? 7 incorrect: your answer is incorrect. leaps
The frog needs 10 leaps to escape the well
Polya's four-step problem-solving strategyPolya's four-step problem-solving strategy is as follows:
Step 1: Understand the problem.
We are given that a frog is at the bottom of a 19-foot well. Each time the frog leaps, it moves up 3 feet. If the frog has not reached the top of the well, it slides back 1 foot before it is ready to make another leap. We are asked to find out how many leaps the frog needs to escape the well.
Step 2: Devise a plan.
To solve this problem, we need to determine how many leaps the frog needs to reach the top of the well. We can use a table to keep track of the frog's progress. Each row of the table represents a leap, and each column represents the frog's position after each leap.
Step 3: Carry out the plan.
Table:
According to the table inserted above, the frog needs 10 leaps to escape the well.
Step 4: Evaluate the solution.
We can verify our answer by checking the last row of the table. After the 10th leap, the frog reaches a position of 21 feet, which is above the top of the well. Therefore, the frog has escaped the well in 10 leaps.
Therefore, the frog needs 10 leaps to escape the well.
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Find the length of side a
Answer:
a = 8.
Step-by-step explanation:
a^2 + b^2 = c^2
b = 6; c = 10
a^2 + 6^2 = 10^2
a^2 + 36 = 100
a^2 = 64
a = plus or minus 8
Since side lengths can't be negative, a = 8.
Hope this helps!
help me solve this please
Answer:
x = 0
Step-by-step explanation:
x-5/3=1=3-2x-2
find the x and y intercepts of the line calculator
The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3).
To determine the x-intercept, let y = 0 and solve for x in the equation y = 3x - 1.
Substitute 0 for y in the equation.0 = 3x - 1
Add 1 to both sides1 = 3x
Divide both sides by 3x = 1/3
The x-intercept of the line is (1/3, 0).
To find the y-intercept, let x = 0 and solve for y in the equation y = 3x - 1.
Substitute 0 for x in the equation.y = 3(0) - 1y = -1
The y-intercept of the line is (0, -1).
Therefore, the x-intercept is (1/3, 0), and the y-intercept is (0, -1).
Therefore, The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3). The calculation above supports the conclusion.
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Gladys agrees to lend Kay $1,000 for one year at a nominal rate of interest of 5 percent. At the end of the year prices have actually risen by 7 percent. Gladys earned a real rate of return of
This indicates that after accounting for the inflation rate of 7%, the purchasing power of the $1,000 investment decreased by approximately 1.92%.
The real rate of return represents the rate of return adjusted for inflation, which reflects the purchasing power of the investment. To calculate the real rate of return, we subtract the inflation rate from the nominal interest rate.
In this case, the nominal rate of interest is 5 percent, but prices have actually risen by 7 percent, indicating an inflation rate of 7 percent. Therefore, the real rate of return can be calculated as follows:
Real rate of return = Nominal interest rate - Inflation rate
Real rate of return = 5% - 7%
Real rate of return = -2%
The negative sign indicates that the purchasing power of the investment has decreased. To express the real rate of return as a positive value, we take the absolute value, resulting in approximately 2%. Therefore, Gladys earned a real rate of return of approximately -2% or -1.92% (rounded to two decimal places).
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Write a linear function f with f(0)=7 and f(3)=1.
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a = ( 0 , 7 ) & b = ( 3 , 1 )
First need to find the slope using the following equation :
\(slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\ \)
\(slope = \frac{1 - 7}{3 - 0} \\ \)
\(slope = \frac{ - 6}{3} \\ \)
\(slope = - 2\)
_________________________________
We have following equation to find the point-slope form of the linear functions using the slope and one of the through points .
\(y - y(0) = m \times ( \: x - x(0) \: )\)
\(x(0) = x - coordinate \: \: of \: \: through \: \: point \\ \)
\(y(0) = y - coordinate \: \: of \: \: through \: \: point \\ \)
\(m = slope\)
I choose point (( a )) to put in the equation.
\(y - 7 = - 2 \times (x - 0)\)
\(y - 7 = - 2x + 0\)
\(y - 7 = - 2x\)
Add sides 7
\(y - 7 + 7 = - 2x + 7\)
\(y = - 2x + 7\)
This the slope-intercept form .
Done...
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If a nonlinear system of equations contains one linear function that touches the quadratic function at its minimum, then the system has:_________
If a nonlinear system of equations contains one linear function that touches the quadratic function at its minimum, then the system has exactly one solution.
This is because the linear function intersects the quadratic function at its minimum point, where there is only one value of x that satisfies both equations.
If a nonlinear system of equations contains one linear function that touches the quadratic function at its minimum, then the system has one unique solution.
Here's a step-by-step explanation:
1. A nonlinear system is a set of equations where at least one of the equations is not linear.
2. In this case, the nonlinear system contains one linear function and one quadratic function.
3. The quadratic function has a minimum point, which is the lowest point of its parabolic graph.
4. The linear function touches the quadratic function at its minimum, which means they intersect at exactly that point.
5. Since the two functions intersect at one point, the system has one unique solution, which corresponds to the coordinates of that intersection point.
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Find the volume of A cube with sides of length 13 meters.
Answer:
V=2197
Step-by-step explanation:
Write an equation for a parabola with a vertex of (-2,1) and a focus of (-2,4)
Answer:
\(y=\frac{1}{12}(x+2)^{2}+1\)Explanation:
Given a parabola with the following properties:
• Vertex: (-2, 1)
,• Focus: (-2, 4)
We want to write an equation for the parabola.
The standard equation of an up-facing parabola with a vertex at (h,k) and a focal length |p| is given as:
\(\begin{equation}(x-h)^{2}=4 p(y-k)\end{equation}\)\(\begin{gathered} Vertex,(h,k)=(-2,1)\implies h=-2,k=1 \\ Focus,(h,k+p)=(-2,4)\implies h=-2,k+p=4 \end{gathered}\)We solve for p:
\(\begin{gathered} k+p=4 \\ 1+p=4 \\ p=4-1 \\ p=3 \end{gathered}\)Substitute the values h=-2, k=1, and p=3 into the standard form given earlier:
\(\begin{gathered} (x-(-2))^2=4(3)(y-1) \\ (x+2)^2=12(y-1) \\ \text{ Divide both sides by 12} \\ \frac{1}{12}(x+2)^2=y-1 \\ \text{ Add 1 to both sides of the equation} \\ y=\frac{1}{12}(x+2)^2+1 \end{gathered}\)The equation for the parabola is:
\(y=\frac{1}{12}(x+2)^{2}+1\)The last option is correct.
Nadia goes into a store with $8.00. She buys 7 bags of chips for $0.55 each, and some taffy. Each taffy costs $0.35. Enter the maximum number of taffy Nadia can buy.
The maximum number of taffy Nadia can buy is 11.
As per the question,
Nadia spends 7 x $0.55 = $3.85 on bags of chips.
She has $8.00 - $3.85 = $4.15 left to spend on taffy.
Now, divide the amount of money she has left by the cost of each taffy to find the maximum number of taffy Nadia can buy:
= $4.15 ÷ $0.35
= 11.857, which rounds down to 11.
Therefore, the maximum number of taffy she can buy is 11.
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Question: 1) Hi how are you?
2) Are you going through anything?
3) Did you know ppl love you? <3
Have a great day lovelies!
Have a few points! :D
A three-centimeter cube has been painted red on all sides. it is cut into one centimeter cubes. how many cubes will be there with only one side painted red?
There will be only 6 cubes with only one side painted red.
Cube : A cube is a 3D shape having 6 equal square sides. it has 6 faces , 8 vertices and 12 edges.
According to the question
A 3 cm cube is divided into one centimeter cube.
Every face will have 9 cube each and from that 9 cube there will be only one 1 cube that will have one side painted red.
Since there are 6 faces,
cubes painted one side red = 6x1=6.
Therefore , There will be only 6 cubes with only one side painted red.
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true or false: if a is a matrix with more columns than rows then the number of non-zero singular values of a is greater than the rank of a
The given statement is False.
The number of non-zero singular values of a matrix is equal to the rank of the matrix. The rank of a matrix is the number of non-zero singular values, or equivalently, the dimension of the space spanned by its columns. It is not related to the number of columns or rows in the matrix.
In general, the singular values of a matrix are a measure of the "size" or "magnitude" of the matrix and are defined as the square roots of the eigenvalues of the matrix A^T A (where A^T denotes the transpose of A). The rank of a matrix is the number of linearly independent columns or rows in the matrix. It is a measure of the "degrees of freedom" of the matrix and is equal to the number of non-zero singular values.
So to summarize, if a is a matrix with more columns than rows, it does not necessarily mean that the number of non-zero singular values of a is greater than the rank of a. The number of non-zero singular values and the rank of a matrix are both determined by the structure of the matrix itself and are not directly related to the number of columns or rows.
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Application: Sandy wants to cover a wooden cylinder with a diameter of 1 ft and a height of 4 ft with carpet to build a scratching post for her cats. What are the steps she needs to take to complete this task?
Step-by-step explanation:
Finding the (maximum) respective prime powers would yield the answer. Also we need not ... Is perfectly divisible by 720^n? ... So we can say that for any positive value of n it not divisible.
The purple shape is a dilation of the black shape. What is the scale factor of the dilation?
Answer:
4
Step-by-step explanation:
I need the answer to these two questions, please.
Answer:
m7= 68°. m6=112°
m8= 68°. m5=68°
Help plzzzzzzzzzzzzggdgdbd
Answer:
answers are
3/5b-7=a
w=2.5+h/3