Answer:
Yes
Step-by-step explanation:
A transversal line is a line that intersects two or more lines. Since line C is intersecting two lines, it is transversal.
The required line C is a transversal of lines a and b.
What is a line?A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
Here,
The line which intersects two or more lines is said to be a transversal line.
So as of the given figure, line C intersects line a and line b so Line C is a transversal line.
Thus, the required line C is a transversal of lines a and b.
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Jill made 20 muffins. She put them into 3 boxes and has two muffins left. How many are in each box if they all contain the same amount of muffins?
The 6 number of muffins in each box if they all contain the same amount of muffins.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Jill made 20 muffins.
She put them into 3 boxes and has 2 muffins left.
That means,
muffins in the boxes =20 -2
= 18 muffins are in the boxes.
To find the number of muffins in each box if they all contain the same amount of muffins:
Divide the rest of the muffins to 3.
Number of muffins in the boxes / 3
= 18 / 3
= 6
Therefore, six muffins are in each box.
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What is the domain of y=√x+7 +5?
x20
O x27
x2-7
Oall real numbers
DONE
The domain of the function y = √(x + 7) + 5 is all real numbers (all real numbers). Option D.
To determine the domain of the function y = √(x + 7) + 5, we need to identify the values of x for which the function is defined.
In this case, the function includes two operations: addition and square root. To ensure the function is defined, we need to consider the restrictions imposed by each operation.
The square root function (√) is defined only for non-negative real numbers. In other words, the expression inside the square root (√(x + 7)) must be greater than or equal to zero for the function to be defined.
Setting x + 7 ≥ 0, we can solve for x:
x ≥ -7
Therefore, the expression inside the square root (√(x + 7)) is defined for x values greater than or equal to -7.
Additionally, there are no restrictions on the addition operation (+5). It can be applied to all real numbers.
Combining both restrictions, we find that the function y = √(x + 7) + 5 is defined for all real numbers x, since there are no limitations or exclusions. Option D is correct.
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What are the coordinates of A' and B' when AB is reflected in the y-axis? Show your work or explain how you got your answer.
Answer:
Step-by-step explanation:
What is the rule for a reflection across the Y axis? The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the -value the same
Answer:
A'(-2, 5)
B'(-6, 3)
Step-by-step explanation:
When a point is reflected in the y-axis, the image is as far from the y-axis on the other side as the original point is on this side. That is, the y-axis is halfway between the original point and its image. The x-coordinate of a point measures how far from the y-axis it is, so reflection in the y-axis changes the sign of the x-coordinate:
(x, y) ⇒ (-x, y) . . . . . reflection in the y-axis
__
A(2, 5) ⇒ A'(-2, 5)
B(6, 3) ⇒ B'(-6, 3)
The dollar value v (t) of a certain car model that is t years old is given by the following exponential function.
v (t) = 19,900(0.86)^t
Find the initial value of the car and the value after 11 years.
Round your answers to the nearest dollar as necessary.
Answer:
v(0) = 19,900, v(11) = 3,787.36
Step-by-step explanation:
v(0) = 19,900 (0.86)^0 = 19,900 * 1 = 19,000
v(11) = 19,900 (0.86)^11 = 19,900 * 0.190319 = 3,787.36
Identify the angles that are coterminal with 135 degrees choose all that apply
Answer:ok
Step-by-step explanation:
Allie made the line plot below to show the lengths of strings she cut for her art project.
What is the difference in length between the length of string she used most often and the length of string she used least often?
how can she die Lol free pts man LOL
Answer:
1/4, or 0.25 inches
Step-by-step explanation:
You count the dots. The number of dots tell you how many of each length of string she used.
You first find the column with the most dots, and then you find the column with the least. Then you just subtract them, the number of inches it displays on the bottom, 12 1/2 - 12 1/4, which is 1/4. I did this in my head and you can use a calculator if you want.
Thanks for the points, and have a blessed day. Hope this helps.
Answer:
Im pretty sure you acc was deleted so whatever dude the length was 69 inches and 420 millimeters
Given u = LeftAngleBracket 8, 0 RightAngleBracket and v = LeftAngleBracket negative 1, negative 2 RightAngleBracket, what is v – u? LeftAngleBracket negative 9, negative 2 RightAngleBracket LeftAngleBracket negative 8, 0 RightAngleBracket LeftAngleBracket 9, 2 RightAngleBracket LeftAngleBracket 10, 1 RightAngleBracket
ANSWER: A
-9,-2
Answer:
It is A
Step-by-step explanation:
EDGE 2020
Answer:
A
Step-by-step explanation:
Yeah it's A, edg 2023
Solve 2-3 cos x=5+3 cosx for 0° ≤ 180°
The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.
1. Start with the given equation: 2-3cos(x) = 5+3cos(x).
2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.
3. Combine like terms: 2-6cos(x) = 5.
4. Subtract 2 from both sides: -6cos(x) = 3.
5. Divide both sides by -6: cos(x) = -1/2.
6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.
7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.
8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.
9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.
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What does 10 km equal to
Find the area and perimeter of the figure
The perimeter and area of the given composite shape are respectively; 10a² + 10b and 37a²b
How to find the area and perimeter of a composite figure?The perimeter of the composite figure here will simply be the sum of the entire boundary lengths and as such we have;'
Perimeter = 2(a² + 3a² + a²) + 2(4b) + b + b
= 10a² + 8b + 2b
= 10a² + 10b
The area of a rectangle is;
Area = Length * width.
Thus;
Area of composite shape = Overall area of rectangle - Area of cut out rectangle
Area = (10a² * 4b) - (3a² * b)
Area = 40a²b - 3a²b
Area = 37a²b
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A garage mechanic purchases oil in a 40-gallon container for changing oil in customers' cars. After 22 oil changes requiring 4 qt each, how much oil, in quarts, is left in the 40-gallon container?
The mechanic has a 40-gallon oil container for changing oil in customer's cars.
Each time he changes the oil of a car, he spends 4qt oil.
You need to determine how much oil is left in the container after 22 oil changes.
To determine how much oil is left, considering that you have to express the result in quarts, the first step is to express the total amount of oil in the container in quarts.
1 gallon is equal to 4 quarts, to determine how many quarts represent 40 gallons, you have to apply cross multiplication:
1 gallon → 4 quarts
40 gallons → x quarts
Both relationships are in the same proportion so that:
\(\begin{gathered} \frac{4}{1}=\frac{x}{40} \\ 4=\frac{x}{40}→multiply\text{ }by\text{ }40 \\ 40*4=x \\ x=160qt \end{gathered}\)The total amount of oil in the container is 160 quarts.
The next step is to calculate how much oil was spent in the 22 oil changes.
You know that the mechanic uses 4 quarts for each oil change, if you multiply the amount of oil used in each change by the number of oil changes he performed, you will obtain the amount of oil used for the changes:
\(4qt*22oil\text{ }changes=88qt\)He spent 88 quarts of oil for the 22 oil changes.
Finally, to determine how much oil is left in the container, you have to calculate the difference between the initial amount of oil and the oil used in the oil changes:
\(160qt-88qt=72qt\)There are 72 quarts of oil left in the container.
based on the graph how many tiles are im figure 0
For figure {0}, the number of tiles will be equal to 2.
What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is a graph as shown in the image.
The line passes through point -
(3, 8) and (4, 10)
So, the slope of the line will be -
m = (10 - 8)/(4 - 3)
m = 2
y = 2x + c
For the point (3, 8), we can write -
8 = 6 + c
c = 2
For figure {0}, the number of tiles will be equal to 2.
Therefore, for figure {0}, the number of tiles will be equal to 2.
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PLEASE HELP!!!!!!!!!!!!
Answer: Numbers of servings: 10 and 13, Liters of punch: 14
Step-by-step explanation:
Number of servings - 6 = Liters of punch.
What is the equation of the line in slope-intercept form?
Answer:
y=5x+5
Step-by-step explanation:
its right
Write an equation in point-slope form for the line. Slope is -2 and (1, 1) in on the line.
Answer:
The point-slope form is y - 1 = -2 (x-1)
Step-by-step explanation:
In A container, there are red, blue and green balls. 3/11 of ball s are red There are 35 more blue balls than red balls. The remaining 90 balls are green. How many more blue balls than green balls are there? of the balls are red.
B. What is each piece measurement if the angle is cut into 9 equal
lengths? Kerf width is 0.125.
Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.
When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.
Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.
What is an Angle?
An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths
To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:
Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.
Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees
Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees
Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.
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A certain truck traveled 7,605 miles in 15 days. What is the average number of miles traveled per day?
If the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.
What is average?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
It is given that, a certain truck traveled 7,605 miles in 15 days.
The average number of miles traveled per day is obtained by dividing the total distance traveled by the total time taken as,
Suppose the average number of miles traveled per day is x,
x=76015 / 15
x=507 miles per day.
Thus, if the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.
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A train travels 250 miles (m) in 5 hours (h) . Calculate the average speed the train was traveling
Answer50 mph
Step-by-step explanation:
x
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>
The probability of drawing a blue ball from Bag A is 1/5 and the
probability of drawing a red ball from Bag B is 2/3.
What is the probability of drawing a blue ball from Bag A AND a red
ball from Bag B?
Answer:
the probability of drawing a blue ball from bag A is 1/5 and the probability of drawing a red ball from bag B is 2/3.
The probability of drawing a blue ball from Bag A and a red ball from Bag B will be 2/15.
What is the definition of probability?
Probability denotes the likelihood of something happening. It is concerned with the occurrence of an unpredicted event.
Probability can only have a value between 0 and 1. Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of events is known as the favorable event ratio.
The probability of drawing a blue ball from Bag A is, 1/5
The probability of drawing a red ball from Bag B is, 2/3.
P(A)=1/5
P(B)=2/3
The probability of drawing a blue ball from Bag A and a red ball from Bag B will be;
P(A and B)=P(A). P(B)
P(A and B)=(1/5)×(2/3)
P(A and B)=(2/15)
Hence,the probability of drawing a blue ball from Bag A and a red ball from Bag B will be 2/15.
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Move numbers to the blanks to solve the problem 6 divided by 1/3
Answer:
18
Step-by-step explanation:
6 / (1 / 3) = 6 * 3 = 18
Answer:
18
Step-by-step explanation:
I did it and got it right
What is the area of the shaded region?
Answer:
80 mm²
Step-by-step explanation:
Even for slanted triangles, the area is base x half height! The base is 10 mm, half the height is 8 mm, so the area is 8x10=80 mm.
Starting with a fresh bar of soap, you weigh the bar each day after you take a shower. Then you find the regression line for predicting weight from number of days elapsed. The slope of this line will be:__________.
Answer:
The slope will be negative
Step-by-step explanation:
The slope of the regression line tells us about the relationship or behavior of the dependent and independent variables. In the scenario above, where the weight is being compared with the number of days elapsed. What is expected of the weight and quantity of a bar soap each time it is used for a shower is that it will decrease in weight. Therefore, as the number of days increases, and hence, number of showers rise, the weight of soap will decrease. Hence, we'll obtain a negative slope, one in which the increase in a variable leads to decrease in the other.
A shopkeeper sold 20 mobile sets of same brand for Rs 3,00.0000 at the same rate in a week What is the selling price of each mobile set
Answer:
15
Step-by-step explanation:
cost of 20 mobile set=300
cost of 1 mobile set
=cost of mobile set/number of mobile set
=300/20
=15
The cost of each mobile set is ₹1,50,000.
What is the unit rate?Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.
Given that, a shopkeeper sold 20 mobile sets of same brand for ₹3,000,000.
The selling price of each mobile set = Total cost of mobile sets/Number of mobile sets
= 3,000,000/20
= ₹1,50,000
Therefore, the cost of each mobile set is ₹1,50,000.
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Ayuda operaciones y respuesta es para ahora
The perimeter of the given window is 48 centimeter.
From the given figure,
Perimeter of window = 2(Length+Breadth)
= 2(10+14)
= 2×24
= 48 centimeter
Perimeter of house = 2(Length+Breadth)
= 2(37+35)
= 2×72
= 144 centimeter
Perimeter of roof = 2(Length+Breadth)
= 2(37+5)
= 2×42
= 84 centimeter
Therefore, the perimeter of the given window is 48 centimeter.
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A contractor better job at $750 for materials plus $43 per hour for labor. The total cost for the job can be modeled by C= 43H+ 750$.
Find the number of hours that he has for the job if the owner would like the total cost to be under $2000, rounded to the nearest hour.
The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.
To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.
Since the owner wants the total cost to be under $2000, we can set up the inequality:
43H + 750 < 2000
Now, let's solve this inequality for H, the number of hours:
43H < 2000 - 750
43H < 1250
Dividing both sides of the inequality by 43:
H < 1250/43
To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.
Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:
H < 29
Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.
By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.
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Three blocks are shown: Block A has mass 3 kilograms, length 8 centimeters, height 2 centimeters, and width 1 centimeters. Block B has mass 4 kilograms, length 1 centimeters, height 8 centimeters, and width 2 centimeters. Block C has mass 4 kilograms, length 8 centimeters, height 1 centimeters, and width 2 centimeters. Which statement is correct? (1 point) a Block A has the greatest density. b Block B has the least density. c The density of Block A is equal to the density of Block B. d The density of Block B is equal to the density of Block C.
Answer:
b & c
Step-by-step explanation:
angle POR and angle ROQ from linear pair . If a-b=
\( {80}^{0} \)
find the value a and b .
Answer:
a = 130
b = 50
Explanation:
Analyze that the angles a and b lies on a straight line summing up to 180°.
Equation's:
a + b = 180 ____eq 1a - b = 80 ____eq 2make 'a' subject in eq 1
a + b = 180
a = 180 - b
substitute this into eq 2
a - b = 80
(180 - b) - b = 80
180 - 2b = 80
-2b = 80 - 180
-2b = -100
b = 50
Find value of 'a':
a = 180 - b
a = 180 - 50
a = 130
Answer:
a = 130°, b = 50°
Step-by-step explanation:
The given equation is,
→ a - b = 80°
→ a + b = 180°
The equation we form is,
→ (a + b) + (a - b) = 180 + 80
Now the required value of a will be,
→ (a + b) + (a - b) = 180 + 80
→ (a + a) + (b - b) = 260
→ 2a = 260
→ a = 260/2
→ [ a = 130° ]
Hence, the value of a is 130°.
Then the required value of b will be,
→ a + b = 180
→ 130 + b = 180
→ b = 180 - 130
→ [ b = 50° ]
Hence, the value of b is 50°.
Austin takes1 minute and 45 seconds to run three-quarters of a circular track. His rate of motion is
/
radians per second.
Austin's rate of motion is (1/70)π Radians per second.
To determine Austin's rate of motion in radians per second, we need to use the formula for angular velocity:
ω = Δθ / Δt
Where:
ω = angular velocity (in radians per second)
Δθ = change in angular displacement (in radians)
Δt = change in time (in seconds)
We know that Austin runs three-quarters of a circular track, which means he covers an arc length that is equal to three-quarters of the circumference of the circle. Let's call the radius of the circle "r". Then, the arc length covered by Austin is given by:
s = (3/4) * 2πr
s = (3/2)πr
We also know that it takes Austin 1 minute and 45 seconds to cover this distance. This is the same as 105 seconds (since 1 minute = 60 seconds).
So, Δt = 105 seconds
Now, we can calculate the change in angular displacement (Δθ). The total angle around a circle is 2π radians, so the angle covered by Austin is given by:
Δθ = (3/4) * 2π
Δθ = (3/2)π
Therefore, Austin's rate of motion (ω) in radians per second is:
ω = Δθ / Δt
ω = [(3/2)π] / 105
ω = (3/210)π
ω = (1/70)π radians per second
So, Austin's rate of motion is (1/70)π radians per second.
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let d be diagonal, with repeated diagonal entries grouped contiguously. show that if a commutes with d, then it must be block diagonal.
As, a is block diagonal, with diagonal blocks of size \(m_1 \times m_1\), \(m_2 \times m_2\), \(\dots\), \(m_k \times m_k\), respectively. So, if a commutes with d, then it must be block diagonal.
Let's suppose that d is a diagonal matrix with repeated diagonal entries grouped contiguously, i.e.,
d = \(\begin{pmatrix} D_1 & 0 & 0 & \cdots & 0 \ 0 & D_1 & 0 & \cdots & 0 \ 0 & 0 & D_2 & \cdots & 0 \ \vdots & \vdots & \vdots & \ddots & \vdots \ 0 & 0 & 0 & \cdots & D_k \end{pmatrix}\),
where \(D_1, D_2, \dots, D_k\) are scalars and appear with frequencies \(m_1, m_2, \dots, m_k\), respectively, so that \(m_1 + m_2 + \dots + m_k = n\), the size of the matrix.
Suppose that \(a\) is a matrix that commutes with d, i.e., ad = da.
Then, for any \(i \in {1, 2, \dots, k}\), we have
\(ad_{ii} = da_{ii}\)
Here, \(d_{ii}\) denotes the \(i$th\) diagonal entry of d, i.e., \(d_{ii} = D_i\) for \(i = 1, 2, \dots, k\). Since d is diagonal, \(d_{ij} = 0\) for \(i \neq j\), and
hence
\(ad_{ij} = da_{ij} = 0\)
for all \(i \neq j\).
Therefore, a is also diagonal, with diagonal entries \(a_{ii}\), and we have
\(a = \begin{pmatrix} a_{11} & 0 & 0 & \cdots & 0 \ 0 & a_{11} & 0 & \cdots & 0 \ 0 & 0 & a_{22} & \cdots & 0 \ \vdots & \vdots & \vdots & \ddots & \vdots \ 0 & 0 & 0 & \cdots & a_{kk} \end{pmatrix}\)
Thus, a is block diagonal, with diagonal blocks of size \(m_1 \times m_1\), \(m_2 \times m_2\), \(\dots\), \(m_k \times m_k\), respectively.
Therefore, if a commutes with d, then it must be block diagonal.
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