Answer: M(-3,1.5)
Step-by-step explanation:
A(-7,3) B(1,0)
[tex]\displaystyle\\M(x,y)=(\frac{x_A+x_B}{2} ,\frac{y_A+y_B}{2} )\\\\M(x,y)=(\frac{-7+1}{2},\frac{3+0}{2} )\\\\M(x,y)=(\frac{-6}{2},\frac{3}{2} )\\\\M(x,y)=(-3,1.5)\\\\Thus,\\\\M(-3,1.5)[/tex]
find the largest value of $n$ such that $5x^2 nx 48$ can be factored as the product of two linear factors with integer coefficients.
If we can write
[tex]5x^2 + nx + 48 = (ax + b) (cx + d)[/tex]
then expanding the right side gives
[tex]5x^2 + nx + 48 = acx^2 + (ad+bc)x + bd[/tex]
so that [tex]ac=5[/tex], [tex]ad+bc=n[/tex], and [tex]bd=48[/tex], where [tex]a,b,c,d[/tex] are integers. We want to maximize [tex]ad+bc[/tex].
5 is prime, so [tex](a,c)[/tex] can be either (1, 5) or (5, 1). Let [tex]a=5[/tex] and [tex]b=1[/tex]. Then maximizing
[tex]ad+bc=5d + c[/tex]
is just a matter of picking the largest possible value for [tex]d[/tex], which is 48. Then [tex]\max\{ad+bc\}=5\times48+1\times1=\boxed{241}[/tex].
A car traveled 200 miles in 4 hours.What was the car´s average rate of speed in miles per hour
Answer:
50 miles per hour
Step-by-step explanation:
You want to put the total amount over the hours.
4. Find the base of a triangle if its height
is 2 3/4 cm and its area is 12 5/8cm². Write
your answer as a mixed number.
The base of the triangle is 9 2/11 cm.
Given the height of the triangle is = 2 3/4 cm
area of the triangle is = 12 5/8 cm²
we know the area of the triangle is = 1/2 × b × h
but base = ?
therefore, 12 5/8 cm² = 1/2 × b × 2 3/4 cm
convert improper fraction to proper fraction.
101/8 = 1/2 × b × 11/4
101/8 = 11b/8
like terms gets cancelled
101 = 11b
b = 101/11
b = 9 2/11 cm
Hence we get the base of the triangle as 9 2/11 cm.
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subtract 2a-3b from b-a
Answer:
Answer: (2a+3b)-(a+b) = a + 2b.
Answer:
-2a² - 3b² + 5ab
Step-by-step explanation:
(b-a) - (2a-3b)
= b(2a-3b) -a(2a-3b)
= 2ab - 3b² - 2a² + 3ab
= -2a² - 3b² + 3ab + 2ab
= -2a² - 3b² + 5ab
Solve for the value of t.
Answer: t =
(6t+6)°
(7t-7)⁰
Submit Answer
Step-by-step explanation:
t = 7°
Use angles on a straight line add up to 180°.
find the length of the side labled x
now, the picture looks a bit misleading, the angle on the bottom-right corner doesn't look at all like a 20° angle, so let me assume the 20° angle is the angle up above, like you see in the picture below, because that looks like a 20° one, and the number there, is not very clear which one is pointing to.
[tex]\cos(64^o )=\cfrac{\stackrel{adjacent}{h}}{\underset{hypotenuse}{18}}\implies 18\cos(64^o)=h \\\\[-0.35em] ~\dotfill\\\\ \cos(20^o )=\cfrac{\stackrel{adjacent}{h}}{\underset{hypotenuse}{x}}\implies x=\cfrac{h}{\cos(20^o )}\implies x=\cfrac{18\cos(64^o)}{\cos(20^o )}\implies x\approx 8.4[/tex]
Make sure your calculator is in Degree mode.
Hi! I really need help with the answer to this question!
The room has a 68 by 33 square foot space and perimeter.
based on the information provided:
a) The room's area is 8 x 8.5,
=68 square feet.
and the room's circumference is
2(8+8.5) = 33 ft
b). Yes, the baseboard and carpet will have the same area and perimeter.
What is a rectangle's perimeter?
Considering that the polygon's perimeter is equal to the sum of its sides. As a result, the perimeter (P) of a rectangle is given by P = the total of its four sides. P = a + b + a + b (Opposite sides of rectangle are equal)
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gaussian classes with distinct means, equal class prior probabilities, and common covariance matrix that is not necessarily a diagonal matrix.
The equal class prior probabilities, gaussian classes with unique means, and a common covariance matrix that isn't always diagonal. The particular choice for ∑ where d is 2 is µ[tex]_{2}[/tex]-µ[tex]_{1}[/tex].
What is a gaussian function?A Gaussian function in mathematics is a function with the base form and parametric extension for all real constants a, b, and c that are not zero. This function is frequently referred to as a Gaussian. It bears the name of the mathematician Carl Friedrich Gauss. A Gaussian's graph has the recognizable symmetric "bell curve" shape. The parameters a and b determine the height and location of the curve's peak, respectively, while the parameter c, also known as the standard deviation or Gaussian RMS width, determines the width of the "bell." Gaussian functions are frequently used in statistics to characterize the normal distributions, in signal processing to build Gaussian filters, and in image processing where two-dimensional Gaussians are utilized for Gaussian blurring.
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what is the value of 5^5/5^2=?
By using the exponential value calculation, the value of 5^5/5^2 is 125.
How do we calculate an exponential value?The multiplier is represented by the base B, which is written as "B x," and the exponent "x," which indicates how many times the base is multiplied. When "8" is the base, "3" is the exponent, and the entire equation is the power, the result is 8X8X8=512.
It can be expressed as -
5⁵ / 5² = 5×5×5×5×5 / 5×5
= 5 × 5 × 5
= 5³
= 125
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(6d+5)−(2−3d) = what is the answer
[tex]{ \red{ \bold{9d}}} \: + \: { \red{ \bold{3}}} [/tex]
Step-by-step explanation:
[tex]{ \blue{ \tt{(6d + 5)}}} - { \blue{ \tt{(2 - 3d)}}}[/tex]
[tex]{ \blue{ \tt{6d + 5 - 2 + 3d}}}[/tex]
[tex] = { \blue{ \tt{9d + 3}}}[/tex]
last one for this type of equation
Answer:
a.
t=11
A=210-14(11)
A=210-154
A=56
$56 left
b.
A=0
0=210-14t
14t=210
t=210/14
t=15
in 15 trips he'd be broke
|-8| tango examen mañana ayuda
Answer:
bein estas for
Step-by-step explanation:
lerni :) kaj preterpasi
pleaseeee help!!!!!!
Answer: 5. x=110 degrees
y=70 degrees
6. c=8
Step-by-step explanation:
5. x=110 degrees ==> x and 110 are congruent angles.
110+y=180 ==> y is the supplement of an angle which is congruent to 110.
110-110+y=180-110
y=180-110
y=70 degrees
6. c/4 = 6/3
c/4 =2
c=8
Chapter 15 Questions 4) In the diagram below, ABCD is a rectangle and triangle DEF is formed by joining the midpoints of AB and BC. a) determine the area of rectangle ABCD in terms of x and y, b) If the shaded area of triangle DEF is 15m², determine the value of xy. c) Hence, determine the area of triangle EBF
a) The area of rectangle ABCD in terms of x and y = 4xy.
b) xy = 10
c) area of triangle EBF = 5 m².
What is defined as the rectangle?A rectangle is a covered two-dimensional shape with four sides, four corners, and four right angles (90°). A rectangle's opposite sides are equal as well as parallel. Because a rectangle is a 2-D shape, it has two dimensions: length and width. The length of the rectangle is the longer side, and the width is really the shorter side.Part A) The area of rectangle ABCD:
See the diagram;
The length of rectangle is 2x.
The width of breadth is 2y.
Area = length×breadth
Area = 2x × 2y
Area of ABCD = 4xy m².
Part b) value of xy.
The area of the triangle DEF is 15m².
area ΔDEF = area ABCD - area ΔADE - area ΔBEF - area ΔDFC.
Put the values;
area ΔDEF = 4xy - 2xy/2 - 2xy/2 - xy/2
area ΔDEF = 3xy
equate;
ΔDEF = 3xy and DEF = 15m².
3xy/2 = 15
xy = 10
Thus, the value of xy = 10.
Part c) area of triangle EBF:
area ΔEBF = xy/2
Put the value of xy = 10.
area ΔEBF = 10/2 = 5
Thus, the area of the triangle EBF 10m².
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Which of the following is not a function? (There may be more than one answer). Explain Clearly.
Answer:
Function A is a function because the inputs on the table do not repeat any number, implying that each input has exactly one output. Function B is not a function because the inputs show that the number 6 is repeated. Function C is not a function because if we make a table, we can see that numbers repeat on the input, so Function C is not a function. Function D is a function because it would pass the vertical line test because no lines overlap with each other or have the input repeating.
Using the function concept, it is found that relations b and c does not represent a function.
When does a relation represents a function?A relation represents a function when each value of the input is mapped to only one value of the output.
On a graph, it means that each value of x is mapped to only one value of y, that is, there are no vertically aligned points on the graph.
For this problem, relation c does not represent a function, as there are multiple values of x are related to two values of y, and there are vertically aligned points on the graph.
In item b, when x = 6, there are two values of y, hence this is also not a function.
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Mount Everest has an elevation of about 8850 meters.
Any location above 8000 meters is in the death zone,
which is the elevation at which there is not enough
oxygen to sustain human life. Write an inequality
that represents the possible elevations of climbers
in the death zone on Mount Everest.
The inequality that represents the possible elevations of climbers in the death zone on Mount Everest is 8000 < x ≤ 8850
How to write an inequality that represents the possible elevations of climbers in the death zone on Mount Everest.The given parameter is'
Height = About 8850 meters
Death zone = Location above 8000 meters
Let the height be represented with x
So, the inequality that represents x is
Death zone < x ≤ Height
This gives
8000 < x ≤ 8850
Hence, the inequality that represents the possible elevations of climbers in the death zone on Mount Everest is 8000 < x ≤ 8850
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Need help on question 6!!!
What additional information is obtained from an ordinal scale compared to a nominal scale?
An ordinal scale provides more information than a nominal scale since values linked with an ordinal variable will be in natural order, whereas values connected with the nominal variable won't.
Types of Variables:Ordinal variables as well as nominal variables are the two categories of variables listed here. This sort of variable cannot be submitted to the same forms of statistical tests as interval and ratio variables, hence it is crucial to be able to recognize them accurately. Both of these variables fall within the qualitative category. This contrasts with interval as well as rate variables, both of which are categorized as quantitative.
An illustration of an ordinal variable is a Likert scale with words for mood (such as joyful, neutral, or sad). An illustration of a nominal variable is the names of cities in the Canadian province of Alberta.
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Simplify 4G+ 16H - 8J = 32.
Select one:
O a. G + 4H-2J = 8
O b. G + 4H-2J = 32
O c.
2G+8H4J = 16
O d.
4G+ 2H-J = 4
O e. 12(G+ H-J) = 32
You are solving a measurement problem where the numbers 3.021 x 109 and 1.0482 x 10−4 are divided. How many significant digits should the quotient have?
2
3
4
5
The number of significant digits the quotient should have is 5. Option D
What are significant digits?Significant digits are important single digits from 0 to 9 in the coefficient of an expression.
They are also known as meaningful digits.
Significant figures or digits are the zeros that occur between any two non zero digits.
From the information given, we have;
3.021 x 109 1.0482 x 10−4Let's take the quotient
3.021 x 10^9 /1.0482 x 10^−4
This gives;
2. 88208 × 10^13
We can see that the number of significant digits are 5
Thus, the number of significant digits the quotient should have is 5. Option D
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Make a table of ordered pairs for the equation.
y=12x−3
Answer:
slope:12
Step-by-step explanation:
I HOPE IT HELP YOU
0_<
Answer:
12
Step-by-step explanation
at an inter-species dance party, each cat danced with exactly three dogs and each dog danced with exactly two cats. no one danced with anyone of their own species, and twelve cats attended the party. how many dogs attended the party? (a) 8 (b) 12 (c) 16 (d) 18 (e) 24
The correct option is (d) 18.
The number if dogs attended the inter-species dance party is 18.
What is combination?A combination is an arithmetical technique for determining the number of different arrangements in a set of items in which the order of a selection is irrelevant. You can choose the items in just about any order in combinations.
Permutations and combinations are often confused. In permutations, however, the sequence of the selected items is critical. For instance, the arrangements ab as well as ba are equal in combinations (regarded like one arrangement), but different in permutations.Combinations are analyzed in combinatorics, but they are also used in other fields such as mathematics and finance.Now, as per the given question.
If every cat danced with a 3 dogs, the total would be;
3 x 12 = 36 cat and dogs pairs.
Even so, every dogs just danced with 2 cat, implying that there had to be a mix-up. Then,
Number of dogs = 36/2 = 18
Therefore, the total number of dogs present in the inter-species dance party are 18.
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Steve is on a baseball team. Steve has hit 5 home runs in the thirty-five times that Steve has been up to bat. At this pace, how many bats would Steve need to hit twenty-four home runs?
The graph of y = |x +4|-8 is reflected across the y-axis and then translated down 2 units. What is an equation of the transformed graph?
O A. y = -|x +4|-10
O B. y= |4 - x|-6
O C. y = -|x + 4|-6
D. y= |4 - x|-10
The equation of resulting graph upon undergoing the transformations as described in the task content is; Choice B; y= |4 - x|-6.
What is the equation of the resulting graph formed from the transformations as described in the task content?It follows from the task content that the equation of the transformed graph be determined.
First, since the graph is reflected over the y-axis, the x-value becomes negative as; -x.
Hence, the resulting equation is;
y = |-x + 4|-8
y = |4 -x|-8
Also, when the graph is translated 2 units down; we have;
y -2 = |4 -x|-8
y = |4 -x|-8 +2
y = |4 -x| -6
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A rectangular tank measuring 27.0 cm times 7.0 cm times 11.25 cm contains a gas sample that has a density of 0.020 g/ml what is the mass of the gas contained in the tank
The mass of gas contained in the tank is 42.525 g. It is calculated using the concept of density and volume of a substance.
What is density?
Density is generally defined as the mass per unit volume. Its representation is done using the symbol p. SI unit of density is kg / (m)3.
Calculation of the total mass of gas contained in the rectangular tank
Given:
Length of the rectangular tank, l = 27 cm
Breadth of the rectangular tank, b = 7 cm
Height of rectangular tank, h = 11.25 cm
Volume of rectangular tank = l × b × h
= 27 × 7 × 11.25
= 2,126.25 cubic cm
Density = 0.020 g/ml (1 ml = 1 cubic cm)
Mass / Volume = 0.020
Mass = 0.020 × 2,126.25
= 42.525 g
Hence, the mass of gas contained in the tank is 42.525 g.
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PLEASE HELP
also do the check ur work side to plssss
Answer:
k = -10
Step-by-step explanation:
(-8-3k)/2 = 11
Multiplying both sides with 2:
2{(-8-3k)/2} = 11(2)
-8-3k = 22
-8-3k+8 = 22 + 8
-3k = 30
k = 30/-3
k = -10
Check:
(-8-3k)/2 = 11
Putting the value of k that is -10:
{-8-3(-10)}/2 = 11
(-8+30)/2 = 11
22/2 = 11
11 = 11
Hence, it is proved that, k is, in fact, equal to -10
A figure has two pairs of parallel sides and four right angles. The figure is translated four units down. how many parallel sides does the image have?
Additionally, the picture would contain two parallel side pairs.
What are parallel lines?Lines that are parallel to one another on a plane do not intersect or meet at any point. They are always equidistant from one another and parallel. Non-intersecting lines are parallel lines. Parallel lines can also be said to meet at infinity.
How many sides of the picture are parallel?The parameters are as follows:
two parallel side pairsFour equal angles.4 units less translationA stiff transformation is the translation transformation.
This indicates that it maintains the orientation that is changing.
Two sets of parallel sides comprise the initial figure.
There would be two sets of parallel sides on the picture as a result.
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which paired number is a solution to the equation y=-9x+4
(10,-86)
(-4,-58)
(6,-41)
(-6,57)
Answer:
(10,-86)
Step-by-step explanation:
Plug in the x values to see if they equal to the y value.
-9(10)+4 = -86.
x = 10
y = -86
A student did six of ten problems correctly.
a. What is the ratio of the number right to the number wrong?
b. For every two answers that were wrong, how many answers were right?
5 feet.
The ratio is 3 : 2 and for every two incorrect problems he did three problems correctly.
Ratio, in mathematics, is a term used to compare two or more numbers. It is used to indicate the size of one quantity relative to another. In a report, two quantities are compared by division. Here the dividend is called the "prepayment" and the divisor is called the "consequence".For example, in a group of 30 people, 17 of them like to walk in the morning and 13 of them like to ride a bike. We use the ratio formula while comparing the relationship between two numbers or quantities. The general form of representing the ratio between two quantities, for example "a" and "b", is a:b, read as "a is b".i) Total number of problems =10
Correct problems = 6
Incorrect problems = 4
Ratio = Correct / incorrect
Ratio = 6/4
Ratio = 3/2
= 3 : 2
ii) The ratio of the number of correct problems to the number of bad problems, i.e. 3:2, represents that for every three problems the student can correct, both problems are wrong.
Hence, the ratio is 3 : 2 and for every two incorrect problems he did three problems correctly.
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Find the component form of u v given the lengths of u and v and the angles that u and v make with the positive x-axis. u = 5, u = 9 v = 1, v = 5
The component form of a vector refers to breaking the vector into components with unit vectors denoting the direction of each component. The general component form angled vectors in a two-dimensional space is given by:
[tex]\vec v=|v|cos\theta\hat{x}+|v|sin\theta\hat{y}[/tex]
where |v| is the magnitude of the vector component and theta is the angle of the vector.
Using the magnitude and angle given for vector u we can write its component form :
[tex]\vec u=|u|cos\theta_u \hat{x}+|u|sin\theta_u \hat{y}\\\vec u=|5|cos(9)\hat{x}+|5|sin\(9) \hat{y}\\\vec v=5cos9_u\hat{x}+5sin9_u\hat{y}[/tex]
Doing the same for v
[tex]\vec v=|v|cos\theta_u \hat{x}+|v|sin\theta_u \hat{y}\\\vec v=|1|cos5_u \hat{x}+|1|sin5_u \hat{y}\\\vec v=1cos5_u\hat{x}+sin5_u\hat{y}[/tex]
Now adding both vector together
[tex]\vec u+\vec v=(5cos9_u\hat{x}+5sin9_u\hat{y})+(cos5_u\hat{x}+sin5_u\hat{x})\\\vec u+\vec v=(5cos9_u\hat{x}+cos5_u\hat{x})+(5sin9_u\hat{y}+sin5_u\hat{y})[/tex]
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