What is the slope of the line graphed below?

To find the area of triangle ABC, the length of the base and the height of the triangle are needed.

The formula to calculate the area of a triangle is given by: Area = (base * height) / 2. In order to find the area of triangle ABC, we need the length of the base and the height of the triangle. The base of the triangle is one of its sides, denoted as side AB, and the height is the perpendicular distance from side AB to the opposite vertex, denoted as point C.

To calculate the area, we measure the length of the base AB and the height from point C to side AB. Once we have these measurements, we can substitute them into the formula to find the area. It is important to ensure that the base and the height are measured in the same unit (e.g., centimeters or inches) to obtain accurate results.

By calculating the area of triangle ABC using the given formula, we can determine the surface area covered by the triangle. Remember to round the answer to one decimal place, as requested.

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Answer:

\(\displaystyle 34°\)

Step-by-step explanation:

\(\displaystyle csc^{-1}\:1\frac{4}{5} = \theta; 33,748988596...° \\ \\ \boxed{34° \approx \theta}\)

OR

\(\displaystyle sin^{-1}\:\frac{5}{9} = \theta; 33,748988596...° \\ \\ \boxed{34° \approx \theta}\)

I am joyous to assist you at any time.

Answer:

£8.10

Step-by-step explanation:

Divide £10.80 by 4 to find the cost of 1 Kg, then multiply this by 3

£10.80 ÷ 4 = £2.70 ← cost of 1 Kg , then

cost of 3 Kg = 3 × £2.70 = £8.10

Answer:

it may helps......

Step-by-step explanation:

we can solve it by unitary method....So,

Cheese (in Kg). Cost (in Rs)

4kg 10.80

3kg X

Now, 4×x = 3×10.80

X=3×10.80/4 (by transposing)

X=2.7×3

X= 8.1 Answer

Mark it as brainlist

The given expression is \(\dfrac{ r^2-r-6}{(r-2)(r-3)}\). the option C \(\dfrac{ (r+2)}{(r-2)}\)is correct.

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

The given expression is

\(\dfrac{ r^2-r-6}{(r-2)(r-3)}\)

By solving the numerator

\(r^2-r-6\\\\r^2 - (3-2)r- 6\\\\(r-3)(r+2)\)

Put the solution in the above equation

\(\dfrac{ (r+2)(r-3)}{(r-2)(r-3)}\)

\(\dfrac{ (r+2)}{(r-2)}\)

Therefore, the option C is correct.

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The following are crucial factors in hypothesis testing:

In statistics, the process of hypothesis testing involves putting an analyst's presumption about a population parameter to the test.

Thus, before conducting the hypothesis testing, a null hypothesis as well as an alternative hypothesis are established.

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The number of years it will take for the van to be worth less than 50% of its original value can be found by solving the equation V0 = 1.74V(n-1).

To determine the number of years it will take for the van to be worth less than 50% of its original value, we need to consider the annual depreciation rate of 13%.
Let's denote the original value of the van as V0. After the first year, the value of the van will be V1 = V0 - 13% of V0. In general, after each subsequent year, the value of the van can be represented as Vn = V(n-1) - 13% of V(n-1).
To find the number of years it takes for the van to be worth less than 50% of its original value, we need to find the value of n that satisfies the condition Vn < 50% of V0.
Let's solve for n:
Vn = V(n-1) - 13% of V(n-1)
50% of V0 = V(n-1) - 13% of V(n-1)
To simplify the equation, we can convert the percentages to decimals:
0.5V0 = V(n-1) - 0.13V(n-1)
0.5V0 = 0.87V(n-1)
Divide both sides of the equation by V(n-1):
0.5V0 / V(n-1) = 0.87
Simplify the left side:
0.5 / V(n-1) = 0.87 / V0
Multiply both sides by V0:
0.5V0 = 0.87V(n-1)
Divide both sides by 0.5:
V0 = 1.74V(n-1)
Now we have a recursive formula that relates the original value of the van to its value after (n-1) years.
To find the value of n, we need to solve this equation iteratively or use a mathematical software. However, since the question asks for a 200-word answer, we need to keep the explanation concise. Therefore, we cannot provide the exact value of n here.
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Answer:

18m³ + 2m² – m

Combine (add and subtract) the terms that have the same variable and exponent. Do not combine terms that have different exponents or variables.

5m³ +5m³ + 8m³ = 18m³

3m² +3m² –4m² = 2m²

–2m –2m +3m = –m

the values of the six trigonometric functions are: sinθ = -1, cosθ = 0, tanθ = ∞, cscθ = -1, secθ = ∞, cotθ = 0

The first step is to determine the quadrant in which θ lies. We know that cosθ = 0, which means that the angle is on the x-axis. If we draw a unit circle and mark this point, we can see that θ is in quadrant 3.

In quadrant 3, sinθ and cscθ are negative, while cosθ and tanθ are positive. This means that the values of the six trigonometric functions are:

sinθ = -1

cosθ = 0

tanθ = ∞

cscθ = -1

secθ = ∞

cotθ = 0

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The term that best fits "Views the system from the inside" is the implementer. An implementer is responsible for creating, developing, and integrating software systems, and thus has an intimate understanding of the system from the inside out.

When viewing a system from the inside, the Java Virtual Machine (JVM) is responsible for executing Java bytecode, acting as a layer between the compiled code and the host operating system. An implementer is the person who develops and writes the software, working on the internal components of the system. The client interacts with the system through its provided user interface or API, while the user is an individual who utilizes the system to accomplish their goals. Eclipse is an integrated development environment (IDE) often used by implementers for writing, debugging, and deploying Java applications, which can help in understanding the inner workings of the system.The other terms listed, such as JVM, client, user, and eclipse, may interact with the system in various ways, but do not necessarily have the same level of insight as the implementer.

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Answer:  16.8 feet

Note: your teacher may not want you to enter "feet" and instead may just want the number only.

===================================================

Work Shown:

tan(angle) = opposite/adjacent

tan(40) = h/20

20*tan(40) = h

h = 20*tan(40)

h = 16.7819926 which is approximate

h = 16.8

The streetlamp is approximately 16.8 ft tall.

When using your calculator, make sure it's in degree mode. One way to check is to compute something like tan(45) and you should get 1 as a result.

Step-by-step explanation:

Hey there!

2y - c

= 2(7) - 6

= 14 - 6

= 8

Therefore, your answer is: 8

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

\( = > 2y - c\)

\( = > 2(7) - 6\)

\( = > 14 - 6\)

\( = > 8\)

The dimensions of the rectangular box of maximum volume that can be inscribed inside the ellipsoid are 1.39a, 1.39b, and 1.39c.

The maximum volume of a rectangular box that can be inscribed inside an ellipsoid with dimensions a, b and c is given by the formula V = 4abc/3.

To calculate the dimensions of this box, we take the cube root of V and divide it by the product of a, b, and c. This gives us the length, width, and height of the box.

For example, if the ellipsoid has a = 5, b = 4, and c = 3, then the maximum volume is 40π/3. Taking the cube root of 40π/3 gives us a length, width, and height of 1.39.

Therefore, the dimensions of the rectangular box of maximum volume that can be inscribed inside the ellipsoid are 1.39a, 1.39b, and 1.39c.

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Answer:

3

Step-by-step explanation:

ur welcome

Answer:

2

Step-by-step explanation:

I hope that helped

The total number of non-fictional biography books in the library will be equal to 1/5.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Let the total number of books is x.

3/5 of total books are non-fiction, then,

3/5 × x = 3/5x

1/3x of them are biographies.

Then, the number of non-fictional biographies are,

3/5 × 1/3

=1/5

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The MATHCOUNTS International airport had the mean number of seconds between departure time of 43 seconds in 2001.

For given question,

In 2001 there were 738,114 departures.

As we can see, 2001 was not a leap year.

So, the number of days in 2001 = 365

We find the number of departures per day in 2001.

738,114 / 365 = 2,022.23

So, approximately 2,022 departures per day.

Now we find the number of departures in an hour.

2,022 / 24 = 84.25

This means, approximately 84 departures per hour

We know that, 1 hour = 3,600 seconds

Now we find the mean number of seconds between departure time.

3,600 / 84 = 42.8

                  ≈ 43 seconds

Therefore, the MATHCOUNTS International airport had the mean number of seconds between departure time of 43 seconds in 2001.

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Answer:

x=nq+nr

Step-by-step explanation:

Let's solve for x.

x/n=q+r

Step 1: Multiply both sides by n.

x=nq+nr

Answer:

x=nq+nr

The place with the highest temperature is Oslo.

The difference between the temperature in Ottawa and Oslo is 5.2 degrees Celsius .

The new temperature in Moscow is 11 degrees Celsius .

When temperatures are in the negatives, the higher temperature would be the smaller number. Oslo therefore has the highest temperature at - 4.3 °C.

The difference between the temperature in Ottawa and Oslo can be found by subtracting the temperatures:

= - 4 . 3 - ( - 9 . 5 )

= - 4.3 + 9 .5

= 5. 2 degrees Celsius

The new temperature in Moscow is:

= - 7.9 - 3.1

= 11 degrees Celsius

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According to the information of the graph we can infer that Neighborhood A appears to have a bigger family size.

According to the information we can infer that the average family size in Neighborhoods are:

Additionally, the largest family size in Neighborhood A is 6, whereas the largest family size in Neighborhood B is 6 as well. These facts indicate that, on average, and in terms of the maximum family size, Neighborhood A has a larger family size compared to Neighborhood B.

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keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(2y+3x=1\implies 2y=-3x+1\implies y=\cfrac{-3x+1}{2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{2}}x+\cfrac{1}{2}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ \cfrac{-3}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{-3} \implies \cfrac{2}{ 3 }}}\)

so we're really looking for an equation whose slope is 2/3

\({\Large \begin{array}{llll} y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{2}{3}}x+\cfrac{5}{2} \end{array}} \qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

Answer:

Actually the answer is "A"

this is a very strange way to present a problem...

this issue her is that \((x^{a}) ^{b} = x^{a*b}\)

so you need 1/3 * 3 in the answer... none of them have 1/3 * 3

BUT !!!!! 1/3 + 1/3 + 1/3  is the same as  1/3 * 3 So "A" is the solution

Step-by-step explanation:

Answer:

652.3

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

(8-5)^2

3^2

3×3

9

Hope this helps :)

If we consider grade "C" or above as a pass grade, then the number of  students who successfully passed the course are 10 students.

The Number of students who got grade "A" = 8,

The Number of students who got "B" grade is 2,

The Number of students who got grade "C" = 0,

The Number of students who got grade "D" = 0,

The Number of students who got grade "F" = 1,

Since the question asks for the number of students who successfully passed the course (i.e., grade "C" or above is considered a pass grade),

We add the number of students who got grades "A" and "B".

So, total number of students who successfully passed course are :

⇒ 8 (students who got grade "A") + 2 (students who got grade "B")

⇒ 10

Therefore, 10 students successfully passed the course.

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The given question is incomplete, the complete question is

If 8 students of the class got grade "A", 2 student got grade "B", No student got grade "C" and "D", 1 student got grade "F".

Considering grade "C" or above as a pass grade, how many students from this data successfully passed the course?

Answer:

0.08 minutes for a kilometer.

Step-by-step explanation:

If the track is 25 kilometers, and he runs 25 kilometers in 2 minutes, he runs a kilometer in 2÷25 minutes or 0.08 minutes which is 4.8 seconds.

I'm pretty sure the track isn't 25 kilometer or he can't run a lap in 2 minutes. But if so, the answer is 0.08 minutes.

Answer:

1.  y =6 2. y=4+2x

Step-by-step explanation:

The value of the double integral is 128/27 - 32/9 + 8ln2/3. From triangular region with vertices (0, 1), (1, 2), (4, 1) d.

To evaluate the double integral, we first need to set up the limits of integration. Since the region D is a triangle, we can use the following limits:

0 ≤ x ≤ 1

1 + x ≤ y ≤ 4 - x

The integral then becomes:

∫0^1 ∫1+x^4-x 8y^2 dy dx

Evaluating the integral with respect to y first, we get:

∫0^1 ∫1+x^4-x 8y^2 dy dx = ∫0^1 [(8/3)(y^3)]1+x^4-x dx

= ∫0^1 [(8/3)(1+x^3)^3 - (8/3)(1+x^2)^3] dx

= 128/27 - 32/9 + 8ln2/3

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Answer:

i think its 62.5%

Step-by-step explanation:

have a good day :)

Answer:

37.5%

Step-by-step explanation:

Ok I always do these problems in a weird way cuz im autistic but here's my process...

10% of 40 is 4

5% of 40 is 2

2.5% of 40 is 1

4 goes in to 25 6 times

4x6=24

which is one less than 25

so there's six 10%s which is 60%

plus the extra 2.5%

so it's 62.5%

so the item is 37.5% off...

To convert a decimal number to binary, you can divide the number by 2 repeatedly and keep track of the remainder until the quotient becomes 0.

The remainders, read from bottom to top, will give you the binary representation of the decimal number.

Alternatively, you can use a calculator or programming language to perform the conversion.It's important to note that for a decimal number to be converted to binary you must divide the number by 2 repeatedly and keep track of the remainder until the quotient becomes 0.

The remainders when read bottom to top will give you the binary representation of the decimal number.Another way is to use the built-in function of some programming languages or calculator.

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4. f(x,y) is homogeneous of degree 2.

5. a) f(x,y) is homothetic with h(x,y) = xy and g(x) = x-1

4. Show that f(x,y)=\(x^2\)y is homogeneous, and find its degree of homogeneity:

A function is said to be homogeneous of degree k, if it satisfies the condition:

f(tx,ty) = \(t^k\)f(x,y)

We have f(x,y) = \(x^2\)y. Let’s check if it satisfies the above condition:

f(tx,ty) = \((tx)^2(ty) = t^3x^2y = t^2(x^2y\)) = \(t^2\)f(x,y)

Hence f(x,y) is homogeneous of degree 2.

5. Which of the following functions f(x,y) are homothetic? Explain.

(a) f(x,y)=\((xy)^2\)+1

(b) f(x,y)=\(x^2+y^3\)

Let us first understand the meaning of homothetic transformation.

A homothetic transformation is a non-rigid transformation of the Euclidean plane that preserves the direction of the straight lines but not their length. It stretches or shrinks the plane by a constant factor called the dilation.

Let’s now find out whether the given functions are homothetic or not.

(a) f(x,y)=\((xy)^2\)+1

In order to check if f(x,y) is homothetic or not, we need to check if the function satisfies the following condition:

f(x,y) = g(h(x,y))

where g is a strictly monotonic function and h is a homogeneous function with degree 1

We have

f(x,y) = \((xy)^2\)+1

Let’s assume g(x) = x - 1, then g(x+1) = x

Similarly, let’s assume h(x,y) = (xy), then h(tx,ty) = \(t^2\)h(x,y)

Now, we have

g(h(x,y)) = h(x,y) - 1 = (xy) - 1

Thus f(x,y) is homothetic with h(x,y) = xy and g(x) = x-1

(b) f(x,y)=\(x^2+y^3\)

We can’t write this function in the form f(x,y) = g(h(x,y)) where h(x,y) is a homogeneous function with degree 1. Hence this function is not homothetic.

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