Answer:
y = -x/4 + 30
y = -2x/3 + 490
Step-by-step explanation:
5x+20y=600
5x-5x+20y=-5x+600
20y=-5x+600
20y/20=(-5x+600)/20
20y/20=-5x/20+600/20
y = -x/4 + 30
2x+3y=1470
2x-2x+3y=-2x+1470
3y=-2x+1470
3y/3=(-2x+1470)/3
3y/3=-2x/3+1470/3
y = -2x/3 + 490
pls help me with math asap pls no links thx
Answer:
8
Step-by-step explanation:
Divide 192 by 24 and you'll get 8 classes per grade as the answer
Answer:
8 classes
Step-by-step explanation:
To find the minimum amount of classes, you divide 192 by 24 and you get 8 classes.
How can you apply it triangle congruence to real life situation?
Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.
The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.
Congruence :
If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.
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the angle of depression from the top of a building to the foot of the tower is 30 degree and the angle of depression from the top of the tower to the foot of the building is 45degree if the tower is 30m high find the height of the building
Answer:
38.66 meters.
Step-by-step explanation:
Let's denote the height of the building as 'h' (to be determined). Given that the tower is 30m high, we can use trigonometry to solve for the height of the building.
From the information provided, we can form a right triangle with the height of the tower as one side, the height of the building as another side, and the distance between the tower and the building as the hypotenuse.
Considering the angle of depression of 30 degrees, we have the following equation:
tan(30°) = h / d
Where 'd' is the distance between the tower and the building. We don't have the exact value of 'd,' but we can use the second angle of depression to find the relationship between 'd' and the height of the tower.
Using the angle of depression of 45 degrees, we have:
tan(45°) = 30 / d
We can rearrange this equation to solve for 'd':
d = 30 / tan(45°)
Now we can substitute this value of 'd' into the first equation:
tan(30°) = h / (30 / tan(45°))
To find the value of 'h,' we can solve this equation:
h = (30 / tan(45°)) * tan(30°)
Using a calculator, we can calculate the value of 'h' to be approximately 38.66 meters.
Therefore, the height of the building is approximately 38.66 meters.
what is the solution to this system of equations? Answer for Brainliest!!!
Andrew walked 10 miles in 6 hours. What was his walking rate in hours per mile?
Answer:
I think it's 1.7 hours
Step-by-step explanation:
I need to know this
Answer:
x = 2 , y = - 1
Step-by-step explanation:
2x + 6y = - 2 → (1)
- 6x - 8y = - 4 → (2)
multiplying (1) by 3 and adding to (2) will eliminate x
6x + 18y = - 6 → (3)
add (2) and (3) term by term to eliminate x
(- 6x + 6x) + (- 8y + 18y) = - 4 - 6
0 + 10y = - 10
10y = - 10 ( divide both sides by 10 )
y = - 1
substitute y = - 1 into either of the 2 equations and solve for x
substituting into (1)
2x + 6(- 1) = - 2
2x - 6 = - 2 ( add 6 to both sides )
2x = 4 ( divide both sides by 2 )
x = 2
The following algebraic expression is given: 1 xy + 5y + 2x + 10 2.1 What do you notice about all 4 terms?
Answer: linear combo of terms involving x & y, with respective numbers determining their contribution to the expression
Find the equation of the line slope =-4 through (-2,9)
Answer:
y = -4x + 1
Step-by-step explanation:
Okay, one way we can find the equation is to plug the x and y values into y = mx + b
We m (slope) is -4 so
y = -4x + b
We want to find b so we plug in x and y (-2 and 9)
9 = -4 (-2) + b
9 = 8 + b
In this case, b is 1
Now we plug this to make our equation,
y = -4x + 1
Hi there!
The question is asking us to find the equation of the line, given that it has a slope of 4, and it passes through (-2,9).
I will go about solving this by using point-slope:
\(\sf{y-y_1=m(x-x_1)}\)
\(\sf{y-9=-4(x-(-2)}\)
\(\sf{y-9=-4(x+2)}\\\sf{y-9=-4x-8}\\\sf{y=-4x-8+9}\\\sf{y=-4x+1}\)
Therefore, the line's equation is y = -4x + 1.
Have a fantastic day!
chegg amazon ships several parcels each day to multiplelocations. the dispatch centers have conveyor belts where the parcel boxes are placed. in one such center, there are a total of n boxesnumbered 0, 1,., (n - 1), where the capacity of the ith box is denoted by capacity[i]. a box numbered x, can contain a box numbered y, if capacity[x] is divisible by capacity[y]
The correct answer is a box numbered x can contain a box numbered y if capacity[x] is divisible by capacity[y]. The containment relationships can be determined based on this criterion.
In the given scenario, Amazon ships several parcels each day to multiple locations, and the dispatch center has conveyor belts where the parcel boxes are placed. The boxes in the center are numbered from 0 to (n - 1), and the capacity of each box is denoted by capacity[i]. A box numbered x can contain a box numbered y if the capacity[x] is divisible by capacity[y].
To better understand the situation, let's consider an example. Suppose we have 5 boxes numbered from 0 to 4, and their respective capacities are as follows:
capacity[0] = 10
capacity[1] = 20
capacity[2] = 5
capacity[3] = 2
capacity[4] = 1
Based on the given conditions, the box numbered 0 can contain any other box since any number is divisible by 1. The box numbered 1 can contain boxes 0 and 2, as 20 is divisible by 10 and 5. The box numbered 2 can contain only box 4 since 5 is divisible by 1. The box numbered 3 can contain only box 4 as 2 is divisible by 1. Finally, the box numbered 4 cannot contain any other box since it has the smallest capacity.
So, in this case, the possible containment relationships are as follows:
0 can contain: 1, 2, 3, 4
1 can contain: 0, 2
2 can contain: 4
3 can contain: 4
4 cannot contain any other box
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Which rigid transformation would map trianglemzk to triangleqzk? a rotation about point k a reflection across the line containing mz a reflection across the line containing zk a rotation about point z.
On solving the provided question, we can say that - one triangle is just a reflection of the other triangle along the line ZK.
What is congruency?
In geometry, two forms or objects are congruent if they are identical in terms of their size and shape, or if one is a mirror image of the other and is identical in terms of its size and shape. If the shape and size of two shapes match, they are congruent. It is also possible to state that if two forms are congruent, then their mirror images are identical. Match refers to objects that are precisely the same in size and shape. Even when the shapes are rotated, flipped, or reversed, they remain unchanged. Draw two circles with the same radius, for instance, cut them, and place them next to one another.
\(The given\) Δ\(MZK\) and Δ\(QZK have\\\)
∠\(MKZ =\)∠\(QKZ (given)\\\)
\(KZ = ZK (common side)\\\)
∠\(MZK =\)∠\(QZK (right angle)\\\)
The triangle Δ\(MZK\)≅Δ\(QZK (By ASA congruency).\)
Hence, one triangle is just a reflection of the other triangle along the line ZK.
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Does the residual plot show that the line of best fit is appropriate for the data?
A residual plot alone does not provide a definitive answer about the appropriateness of the line of best fit. It should be used in conjunction with other diagnostic tools, such as examining the regression coefficients, goodness-of-fit measures (e.g., R-squared), and conducting hypothesis tests.
The residual plot is a graphical tool used to assess the appropriateness of the line of best fit or the regression model for the data. It helps to examine the distribution and patterns of the residuals, which are the differences between the observed data points and the predicted values from the regression model.
In a residual plot, the horizontal axis typically represents the independent variable or the predicted values, while the vertical axis represents the residuals. The residuals are plotted as points or dots, and their pattern can provide insights into the line of best fit.
To determine if the line of best fit is appropriate, you would generally look for the following characteristics in the residual plot:
Randomness: The residuals should appear randomly scattered around the horizontal axis. If there is a clear pattern or structure in the residuals, it suggests that the line of best fit is not capturing all the important information in the data.
Constant variance: The spread of the residuals should remain relatively constant across the range of predicted values. If the spread of the residuals systematically increases or decreases as the predicted values change, it indicates heteroscedasticity, which means the variability of the errors is not constant. This suggests that the line of best fit may not be appropriate for the data.
Zero mean: The residuals should have a mean value close to zero. If the residuals consistently deviate above or below zero, it suggests a systematic bias in the line of best fit.
It's important to note that a residual plot alone does not provide a definitive answer about the appropriateness of the line of best fit. It should be used in conjunction with other diagnostic tools, such as examining the regression coefficients, goodness-of-fit measures (e.g., R-squared), and conducting hypothesis tests.
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consider an invertible n × n matrix a whose columns are orthogonal, but not necessarily orthonormal. what does the q r factorization of a look like?
The QR factorization of an invertible matrix A with orthogonal columns, but not necessarily orthonormal, consists of a product of an orthogonal matrix Q and an upper triangular matrix R.
The QR factorization of a matrix A is given by A = QR, where Q is an orthogonal matrix and R is an upper triangular matrix. In the case of an invertible matrix A with orthogonal columns, but not necessarily orthonormal, the QR factorization can still be obtained. However, the columns of Q will not be orthonormal.
To obtain the QR factorization, the Gram-Schmidt process can be used. The process involves orthogonalizing the columns of A to obtain an orthogonal matrix Q and then calculating the upper triangular matrix R. The Gram-Schmidt process iteratively projects each column of A onto the orthogonal complement of the previously computed columns of Q.
The resulting Q matrix will have the same column space as A, meaning it will span the same subspace. However, the columns of Q will not be orthonormal since the normalization step of the Gram-Schmidt process is not performed. The upper triangular matrix R will contain the information about the magnitudes and directions of the orthogonalized columns of A.
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Convert the measurements. why take here me doy
hug 1 + 9
\(589\)
The introduction of the "Metric System" was caused by the new measurement unit. The measurement is equivalent to 31 quarts.
What is conversion to metric?In order to measure any quantity, the units that are available must be converted to the necessary units using the term "metric conversion."
The introduction of the "Metric System" was caused by the new measurement unit.
United States Customary Units (USCU) are the metric units used in the US (USCS).
Metric conversion is the process of changing the given units for any quantity that has to be measured into the required units.
In light of this, 7 gallon, 3 quarts
A gallon, which is equivalent to 4 quarts, 16 cups, or 8 pints, is most frequently used to measure liquid volume.
7 gallon, 3 quarts, please.
= 7×4+3
33 quarts
Consequently, the measurement is equivalent to 31 quarts.
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I did exactly what they told me! They won't accept any answers! Please help me FAST! If P=(6,5) and Q=(2,1) are the endpoints of the diameter of a circle, find the equation of the circle.
The final equation of the circle is: (x - 4)²+(y - 3)² =8.
What us equation of circle?The set of all points in a plane that are equally spaced from a fixed point known as the centre is described by the equation of a circle.
It is usually written in the form (x-h)² + (y-k)² = r², where (h, k) represents the center and r represents the radius of the circle.
To find the equation of the circle, we need to find the center of the circle and its radius using the given endpoints of the diameter.
The circle's centre corresponds to the diameter PQ's midpoint.Taking the average of the x-coordinates and the average of the y-coordinates will yield the midpoint's coordinates:
x-coordinate of midpoint = (6 + 2)/2 = 4
y-coordinate of midpoint = (5 + 1)/2 = 3
(4, 3) is the center of circle.
The radius of circle is half the distance between the endpoints of diameter:
r = 1/2 × √((6 - 2)² + (5 - 1)²) = 1/2 × √(16 + 16) = 1/2 × √(2) = 2√(2)
Therefore, the equation of the circle with center (4, 3) and radius 2√(2) is:
(x - 4)² + (y - 3)² = (2×(2))²
Simplifying and expanding right-hand side:
(x - 4)² + (y - 3)² = 8
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plzzzz helppp only have 30 minsss left
Answer:
(x+6)^2 +(y-4)^2 = 49
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 +(y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x- -6)^2 +(y-4)^2 = 7^2
(x+6)^2 +(y-4)^2 = 49
What is the absolute value of 3/4 on the number line
Answer: 3/4
Step-by-step explanation:
Answer: 5.
Step-by-step explanation:
the distance from zero in either the positive or negative direction. 3/4 and -3/4 is written as |3/4| in absolute terms and is true for any value |5|.
how many solutions are there to square root x =9
Answer:
There are 2 solutions to square root x = 9
They are 3, and -3
Step-by-step explanation:
The square root of x=9 has 2 solutions,
The square root means, for a given number, (in our case 9) what number times itself equals the given number,
Or, squaring (i.e multiplying with itself) what number would give the given number,
so, we have to find the solutions to \(\sqrt{9}\)
since we know that,
\((3)(3) = 9\\and,\\(-3)(-3) = 9\)
hence if we square either 3 or -3, we get 9
Hence the solutions are 3, and -3
127.4 is 28% of what number?
The number is 455. An equation is to be made.
What is equation?
A mathematical equation may be a formula that uses the equals sign to represent the equality of two expressions.
Main Body:
1.We assume, that the number 28 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 28, so we can write it down as 100%=28.
4. We know, that x% equals 127.4 of the output value, so we can write it down as x%=127.4.
5. Now we have two simple equations:
1) 100%=28
2) x%=127.4
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=28/127.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 127.4 is what percent of 28
⇒100%/x%=28/127.4
⇒(100/x)*x=(28/127.4)*x - we multiply both sides of the equation by x
⇒100=0.21978021978022*x
- we divide both sides of the equation by (0.21978021978022) to get x
⇒100/0.21978021978022=x
⇒455=x
x=455
Hence the value of x is 455.
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a recipe calls for 3 3/8 tablespoons of sugar. if you want to make 1/2 the recipe, then how much sugar do you need?
If you want to make 1/2 the recipe, then \(1\frac{11}{16}\) tablespoon of sugar you need.
In the given question, a recipe calls for \(3\frac{3}{8}\) tablespoons of sugar.
If you want to make 1/2 the recipe, then we have to find how much sugar you need.
As given that;
1 recipe = \(3\frac{3}{8}\) tablespoons of sugar
Before solving the question, we convert the mixed fraction into simple fraction.
To convert in simple fraction we multiply 3 by 8 then we add 3 on the result of multiplication of 3 and 8.
1 recipe = 27/8 tablespoons of sugar
We have to find sugar need for making 1/2 recipe.
1/2 recipe = \(\frac{27}{8}\times\frac{1}{2}\) tablespoons of sugar
1/2 recipe = 27/16 tablespoons of sugar
1/2 recipe = \(1\frac{11}{16}\) tablespoons of sugar
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Nick bought 6 tickets to an air show if he spent 156 dollars how much did the tickets cost
Answer:
$26 dollars
Step-by-step explanation: when you divide 156 divided by 6 you get 26
Answer:
26 dollars per ticket
Step-by-step explanation:
156/6=26
26x6=156
URGENT PLEASE ANSWER!!! I INCLUDED THE GRAPH!
Graph the line y = 4/3x + 1.
Use the line tool and select two points on the line.
We have (0, 1) and (3, 5) as two points on the line y = 4/3x + 1.
Selecting two points on the line.The equation y = 4/3x + 1 represents a line in slope-intercept form, where the coefficient of x (4/3) represents the slope of the line and the constant term (1) represents the y-intercept.
To select two points on the line, we can choose any values for x and use the equation to find the corresponding values of y.
For example, let's choose x = 0:
y = 4/3x + 1
y = 4/3(0) + 1
y = 1
So one point on the line is (0, 1).
Now let's choose x = 3:
y = 4/3x + 1
y = 4/3(3) + 1
y = 5
So another point on the line is (3, 5).
Since both equations hold true, we can conclude that (0, 1) and (3, 5) are two points on the line y = 4/3x + 1.
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If we are testing for the difference between two population means and assume that the two populations have equal and unknown standard deviations, the degrees of freedom are computed as (n1)(n2) - 1.
True or False
If we are testing for the difference between two population means and assume that the two populations have equal and unknown standard deviations, the degrees of freedom are computed as (n1)(n2) - 1.
The above statement is False.
In statistics, the number of degrees of freedom is the number of values with independent variables at the end of the statistical calculation. Estimates of statistical data may be based on different data or information. The amount of independent information that goes into the parameter estimation is called the degree of freedom. In general, the degrees of freedom for parameter estimation are equal to the number of independent components involved in the estimation minus the number of parameters used as intermediate steps in the estimation minus the tower of the scale.
When testing for the difference between two population means with equal and unknown standard deviations, the degrees of freedom are computed using the formula:
df = (n1 - 1) + (n2 - 1)
Here, n1 and n2 are the sample sizes of the two populations. This formula sums the degrees of freedom from each population and adjusts for the fact that one degree of freedom is used up when estimating the common standard deviation.
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marcella read 100 books over the school year. 60 of the books were mysteries. she said the mysteries equal 0.06 of the total books. is she correct? explain your thinking. describe a model to help support your answer.
Yes, the mysteries equal 0.06 of the total books.
Marcella said that the mysteries equal 0.06 of the total books.
To check the mysteries equal 0.06 of the total books is correct or not.
We can follow these steps:
1. Identify the total number of books and the number of mysteries: Marcella read 100 books, and 60 of them were mysteries.
2. Calculate the fraction of mysteries: Divide the number of mysteries (60) by the total number of books (100) to find the fraction of mysteries.
3. Compare the fraction with Marcella's claim: If the calculated fraction equals 0.06, then she is correct.
Now let's perform the calculations:
60 mysteries ÷ 100 total books = 0.6
Since 0.6 ≠ 0.06, Marcella's claim that the mysteries equal 0.06 of the total books is incorrect. In reality, mysteries make up 0.6 or 60% of the total books she read.
A model to support this answer could be a pie chart, where the circle represents the 100 books, and the mysteries portion is shaded in. By dividing the circle into 10 equal sections, the mysteries would fill 6 of those sections, which represents 60% of the total books.
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Given that 2x+7=27 and 3x+1=28 does 2x+7=3x+1 explain
It is false that 2x + 7 = 3x + 1
How to determine the true statement?The equations are given as
2x + 7 = 27
3x + 1 = 28
The above equations have different values
This means that
It is false that 2x + 7 = 3x + 1
The above statement is true because 27 does not equal 28
Hence, it is false that 2x + 7 = 3x + 1
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A manufacturer of tools, selling rechargeable drills to a chain of home improvement stores, charges $4 more per drill than its manufacturing cost, m. The chain then sells each drill for 120% of the price that it paid the manufacturer. Find a function P(m) for the price at the home improvement stores
The price of the rechargeable drill in the home improvement stores is P(m) = 1.2m + 4, where m is the manufacturing total cost.
P(m) = 1.2m + 4
P(m) = 1.2(manufacturing cost) + 4
P(m) = 1.2m + 4
The manufacturer of tools charges $4 more than its manufacturing cost for a rechargeable drill to a chain of home improvement stores. Following that, the chain sells each drill for 120 percent of what it paid the manufacturer.. Therefore, the price of the rechargeable drill in the home improvement stores can be represented by the function P(m), where m is the manufacturing cost of the drill. The equation P(m) = 1.2m + 4 shows that the price of the rechargeable drill in the home improvement stores is equal to 1.2 times the manufacturing cost plus $4. This equation indicates that the manufacturer of tools charges $4 more than its manufacturing cost and the home improvement stores then increase the price of the drill by 20% of the price they paid to the manufacturer. Therefore, the total cost of the rechargeable drill in the home improvement stores is 1.2m + 4, where m is the manufacturing cost of the drill.
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You revived 1/4 pound of candy from your grandmother, 1/2 pound of candy from your sister, and 1/8 pound of candy from your best friend. How many pounds of candy did you receive?
Answer:
⅞ pound
Step-by-step explanation:
You received 1/4 pound of candy from your grandmother.
You received 1/2 pound of candy from your sister.
You received 1/8 pound of candy from your best friend.
The total amount of candy you received is given as the sum of all the candy that he received from your grandmother sister and best friend.
The total amount of candy is therefore:
¼ + ½ + ⅛ = ⅞ pound
You received ⅞ pound of candy in total.
A scuba diver used the expression below to describe his position in relation to sea level.
2 + (negative 20) + 8
Which statement could describe the diver’s movements?
Answer: The diver descended 20 meters below sea level and then ascended 8 meters.
Step-by-step explanation: The expression 2 + (-20) + 8 describes the diver's movements in relation to sea level. The first number, 2, represents the diver's initial position at sea level. The second number, -20, represents the diver's descent below sea level by 20 meters. The third number, 8, represents the diver's ascent back up to sea level. This can be interpreted as the diver starting at sea level, descending 20 meters below sea level, and then ascending 8 meters back up to sea level.
if the cost of 10 books I'd Rs.300 find the cost of 4 books
Answer:
300 divided by 10 is equal too 30
and 30 times 4 is equal too 120
The Answer is 120
Step-by-step explanation:
Phone chargers in a store are priced $19, $18, $15, $17, $19, $12, $19, and $15.
What display would best show the measures of variation?
(ignore my answer. i didn't mean to click)
The display that would best show the measures of variation of the given prices is; B: Box and Whisker Plot
What is the importance of Box and Whisker Plot?We are given the prices of Phone chargers in a store as;
$19, $18, $15, $17, $19, $12, $19, and $15.
Now, since we want to determine the display that would best show the measures of variation, the best display would be a box and whisker plot. This is because Box and Whisker plots are a great chart to use when showing the distribution of data points across a selected measure. These box and whisker plots display ranges within variables measured.
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at the top of mount aconcagua, height 6961 meters, what is the air pressure, as a percent of the pressure at sea level? round your answer to one decimal place.
At the top of Mount Aconcagua, the air pressure is around 31.8% of the pressure at sea level.
This is because the air pressure decreases as we move upwards, due to the decrease in the number of air molecules per unit volume at higher altitudes. This decrease is significant at the summit of Mount Aconcagua, which is one of the highest peaks in the world.
To calculate the percentage of air pressure at the summit, we divide the air pressure at the top by the air pressure at sea level and multiply by 100. Therefore, the air pressure at the top of Mount Aconcagua is approximately 31.8% of the pressure at sea level, rounded to one decimal place.
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