fill in the table of values for y=2-x
X/ -3 0 5
Y

x = 245/5 x = 49, the length of the side LN is 49 cm.

The sides of the triangles ABC and LMN are proportional due to their similarity. Let's call the length of the LN side x cm.

We are able to establish the proportion based on the similarity as follows:

When we plug in the given values, we get AB/LM = AC/LN:

5/35 = 7/x We can cross-multiply and solve for x to get x:

When we divide both sides by 5, we get: 5x = 7 * 35 5x = 245

Since x = 245/5 x = 49, the length of the side LN is 49 cm.

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Answer: tan A=4/3

Step-by-step explanation:

Theo đề ta có: 5sinA=4 suy ra: sinA=4/5, mà ta đã biết là: sinA= cạnh đối/cạnh huyền, suy ra: cạnh đối của góc A =4, cạnh huyền =5

Áp dụng định lí py ta go ta đc:

5^2=4^2+x^2

=) x=3

Vậy cạnh kề của góc A=3

Mà tanA = cạnh đối/cạnh kề

Vậy giá trị của tanA=4/3

(bạn vẽ hình ra thì có thể nhìn rõ hơn đấy, cảm ơn bạn đã tham khảo câu trả lời của mik)

The derivative of the function y is:

a) y' = e^(x^2) cos(x) - x e^(x^2) sin(x) + 2xe^(x^2) cos(x)

b)  y' = cos(x) + 2sin(x)

Sure, I can help you find the derivatives of these functions using differentiation rules.

(a) To find the derivative of y = x.e^(x^2) cos(x), we need to use the product rule and the chain rule:

y' = (e^(x^2) cos(x)) dx/dx + x d/dx(e^(x^2) cos(x))

= e^(x^2) cos(x) - x e^(x^2) sin(x) + 2xe^(x^2) cos(x)

Therefore, the derivative of the function y is:

y' = e^(x^2) cos(x) - x e^(x^2) sin(x) + 2xe^(x^2) cos(x)

(b) To find the derivative of y = sin(x) - 2cos(x), we just need to apply the differentiation rules for sine and cosine:

y' = d/dx(sin(x)) - d/dx(2cos(x))

= cos(x) + 2sin(x)

Therefore, the derivative of the function y is:

y' = cos(x) + 2sin(x)

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By applying total cost concept, it can be concluded that the expression represents the total cost is 1.45d (option A).

Algebra is a branch of mathematics that uses symbols and mathematical operations, such as addition, subtraction, multiplication, and division to solve problems.

It is usually used to solve a problem in various fields of study, such as chemistry, biology, economics, and so on.

One of the most familiar uses of algebra is how to calculate the total cost:

Total cost = n x p , where:

n = number of products

p = product price per piece

We know that Jim is going to buy donuts for his family:

p = $1.45

n = d

So the total cost can be calculated by multiplying 1.45 by d, which equals 1.45d.

Thus the expression represents the total cost is 1.45d (option A).

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Answer:

17 3/2 - 5 100/8 = 1/1 = 1

Step-by-step explanation:Conversion a mixed number 17 3/

2

to a improper fraction: 17 3/2 = 17 3/

2

= 17 · 2 + 3/

2

= 34 + 3/

2

= 37/

2

To find a new numerator:

a) Multiply the whole number 17 by the denominator 2. Whole number 17 equally 17 * 2/

2

= 34/

2

b) Add the answer from previous step 34 to the numerator 3. New numerator is 34 + 3 = 37

c) Write a previous answer (new numerator 37) over the denominator 2.

Seventeen and three halfs is thirty-seven halfs

Conversion a mixed number 5 100/

8

to a improper fraction: 5 100/8 = 5 100/

8

= 5 · 8 + 100/

8

= 40 + 100/

8

= 140/

8

To find a new numerator:

a) Multiply the whole number 5 by the denominator 8. Whole number 5 equally 5 * 8/

8

= 40/

8

b) Add the answer from previous step 40 to the numerator 100. New numerator is 40 + 100 = 140

c) Write a previous answer (new numerator 140) over the denominator 8.

Five and one hundred eighths is one hundred forty eighths

Subtract: 37/

2

- 140/

8

= 37 · 4/

2 · 4

- 140/

8

= 148/

8

- 140/

8

= 148 - 140/

8

= 8/

8

= 8 · 1/

8 · 1

= 1

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 8 = 16. In the following intermediate step, cancel by a common factor of 8 gives 1/

1

.

In other words - thirty-seven halfs minus one hundred forty eighths = one.Conversion a mixed number 17 3/

2

to a improper fraction: 17 3/2 = 17 3/

2

= 17 · 2 + 3/

2

= 34 + 3/

2

= 37/

2

To find a new numerator:

a) Multiply the whole number 17 by the denominator 2. Whole number 17 equally 17 * 2/

2

= 34/

2

b) Add the answer from previous step 34 to the numerator 3. New numerator is 34 + 3 = 37

c) Write a previous answer (new numerator 37) over the denominator 2.

Seventeen and three halfs is thirty-seven halfs

Conversion a mixed number 5 100/

8

to a improper fraction: 5 100/8 = 5 100/

8

= 5 · 8 + 100/

8

= 40 + 100/

8

= 140/

8

To find a new numerator:

a) Multiply the whole number 5 by the denominator 8. Whole number 5 equally 5 * 8/

8

= 40/

8

b) Add the answer from previous step 40 to the numerator 100. New numerator is 40 + 100 = 140

c) Write a previous answer (new numerator 140) over the denominator 8.

Five and one hundred eighths is one hundred forty eighths

Subtract: 37/

2

- 140/

8

= 37 · 4/

2 · 4

- 140/

8

= 148/

8

- 140/

8

= 148 - 140/

8

= 8/

8

= 8 · 1/

8 · 1

= 1

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 8 = 16. In the following intermediate step, cancel by a common factor of 8 gives 1/

1

.

In other words - thirty-seven halfs minus one hundred forty eighths = one.

Step-by-step explanation:

Since Total workers = Permanent + Temporary workers,

w = 44 + t.

Hence when t = 5, w = 44 + 5 = 49.

From the triangle KLM inside the circle, the value of KM is calculated. And, the value is 1.2079.

A triangle is a polygon made up of three vertices, three angles, and three sides. First, draw a circle with a midpoint represented by O. Then, draw a triangle KLM inside a circle. Now, construct the line segments KO, MO, and LO because they form the circle's radius.

Given that KL = LM. Since two sides of the triangle KLM is equal, it is an isosceles triangle. Also, ∠K=∠M=17°. The total angle of this triangle is 180°. Then, ∠L=180°-17°-17°=146°.

Half the angle L is 73°. Then, ∠KLO=∠MLO=73°.

Consider triangle KLO, this triangle is also isosceles because KO = LO. Then, ∠KLO=∠OKL=73°.

Now, ∠KOL is calculated as follows from the triangle KLO,

\(\begin{aligned}\angle KOL&=180^{\circ}-73^{\circ}-73^{\circ}\\&=34^{\circ}\end{aligned}\)

Similarly, consider triangle MLO, this triangle is also isosceles because LO=MO. Then, ∠MLO=∠OML=73°.

Now, ∠LOM is calculated as follows from the triangle MLO,

\(\begin{aligned}\angle LOM&=180^{\circ}-73^{\circ}-73^{\circ}\\&=34^{\circ}\end{aligned}\)

Then,

\(\begin{aligned}\angle KOM&=\angle KOL+\angle LOM\\&=34^{\circ}+34^{\circ}\\&=68^{\circ}\end{aligned}\)

Using, the cosine law of the triangle KOM, we get,

\(\begin{aligned}(KM)^2&=1.08^2+1.08^2-2(1.08)(1.08)\cos 68^{\circ}\\&=2.3328-2.3328(\cos 68^{\circ})\\&=2.3328(1-\cos 68^{\circ})\\&=2.3328(0.6254)\\&=1.4589\\KM&=\sqrt{1.4589}\\&=1.2079\end{aligned}\)

Therefore, the required answer is 1.2079.

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Answer:

The product of a number and its reciprocal is 1.

For i.e : 4/3 and its reciprocal 3/4, 4/3 x 3/4 = 1

Hope this helps!

:)

We have a function:

Answer: Graph C

Step-by-step explanation:

y-2 < -2x+2

y<-2x+4

slope is negative so it goes down. y int is 4.

insert (0, 0) into equation and 0 < 4 is true so shade where the origin is.

Answer:

To convert 2 Bigha into Kattha:

If 1 Bigha = 20 Kattha:

2 Bigha = 2 * 20 Kattha = 40 Kattha

If 1 Bigha = 16 Kattha:

2 Bigha = 2 * 16 Kattha = 32 Kattha

Given the word problem, we can deduce the following information:

1. The diameter of the circle is 3 meters.

2. The side length of the square is 3 meters.

To determine the difference in area between a circle and a square, we note first the formulas of a circle with a diameter d and the area of a square with side length d:

where:

d=diameter

where:

d=side length

The figures are shown below:

Based on this, the difference of areas would be:

Next, we plug in d=3:

Therefore, the difference in areas is:

. There are no other edges or lines connecting the nodes since the diagonal relation only holds for the self-loops.

To draw the Hasse diagram for the diagonal relation on the set S = {x, y, z}, we need to represent the elements of S as nodes and draw an upward-directed line between two nodes if and only if the diagonal relation holds between them.

In this case, the diagonal relation states that an element is related to itself. Therefore, each element in S will have a self-loop.

The Hasse diagram for the diagonal relation on S = {x, y, z} would look like this:

    x

   / \

  y   z

In this diagram, each element (x, y, and z) is represented as a node, and there is a self-loop on each node since each element is related to itself in the diagonal relation

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The solution to the given equation is \(\(x = -11\)\).

To solve the equation\(\(-4 \sqrt{x+9}+1=-5\)\), we will follow these steps:

Move the constant term to the right side:

\(\(-4 \sqrt{x+9} = -5 - 1\)\)

Simplifying the equation:

\(\(-4 \sqrt{x+9} = -6\)\)

Divide both sides by -4 to isolate the square root term:

\(\(\sqrt{x+9} = \frac{-6}{-4}\)\)

Simplifying further:

\(\(\sqrt{x+9} = \frac{3}{2}\)\)

Square both sides of the equation to eliminate the square root:

\(\(x + 9 = \left(\frac{3}{2}\right)^2\)\)

Simplifying the equation:

\(\(x + 9 = \frac{9}{4}\)\)

Subtracting 9 from both sides:

\(\(x = \frac{9}{4} - 9\)\)

Simplifying the expression:

\(\(x = \frac{9}{4} - \frac{36}{4}\)\)

\(\(x = \frac{-27}{4}\)\)

Further simplification gives us the final solution:

\(\(x = -11\)\)

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Answer:

4

Step-by-step explanation:

The formula of the area of a triangle is 1/2 times base times height

1/2 .4.2 equals 4

Step-by-step explanation:

this consists of 5 sides

top and bottom (equal)

left

right

front

the total surface area is the sum of all 5 areas.

the area of a rectangle is

length × width

the area of a triangle is

baseline × height / 2

in our case we have

top and bottom : 10×4/2 × 2 = 10×4 = 40 cm²

left : 8×9 = 72 cm²

right : 5×9 = 45 cm²

front : 10×9 = 90 cm²

the total surface area is

40 + 72 + 45 + 90 = 247 cm²

Answer:

\(x=3\pm\sqrt{6}\)

Step-by-step explanation:

\((x-3)^2-6=0\)

\((x-3)^2=6\)

\(x-3=\pm\sqrt{6}\)

\(x=3\pm\sqrt{6}\)

Answer:(:

Step-by-step explanation:  2

1. The domain of the linear regression equation is of: [0,∞).

2. The range of the linear regression equation is of: [0.5,∞).

3. The domain is composed by the input values of the function while the range is composed by the output values.

4. The estimate for the cost of gas in 2025 is of $4.55.

The linear regression equation in this problem is defined as follows:

y = 0.176x + 0.5.

In which the variables are given as follows:

2025 is 23 years after 2002, hence the estimate is given as follows:

y = 0.176(23) + 0.5 = $4.55.

The domain and the range are defined as follows:

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The population of an island in 1950 was 2 million. The population grew exponentially for 63 years and reached 6.5 million in 2013. The carrying capacity of the island is estimated to be 10 million.

If the population growth rate in the future is similar to the last 50 years, what will the population be in 2050

The population is given to be increasing exponentially, which means it will follow the equation:

\($P(t) = P_0 e^{rt}$\)Here,\($P(t)$\) is the population after a period of time \($t$, $P_0$\) is the initial population, $r$ is the annual growth rate (which we are given is the same as the growth rate of the last 50 years), and \($t$\) is the time.

We can find the annual growth rate $r$ using the formula:\($$r = \frac{\ln{\frac{P(t)}{P_0}}}{t}$$\)
We know\($P_0 = 2$ million, $P(t) = 6.5$ million, and $t = 63$\) years. Substituting these values, we get:

\($r = \frac{\ln{\frac{6.5}{2}}}{63} = 0.032$\) (rounded to 3 decimal places)

Since the carrying capacity of the island is 10 million, we know that the population will not exceed this limit.

Therefore, we can use the logistic model to find the population growth over time. The logistic growth model is:

\($$\frac{dP}{dt} = r P \left(1 - \frac{P}{K}\right)$$\)

where $K$ is the carrying capacity of the environment. This can be solved to give:\($P(t) = \frac{K}{1 + A e^{-rt}}$\)

where \($A = \frac{K-P_0}{P_0}$. We know $K = 10$ million, $P_0 = 2$ million, and $r = 0.032$\). Substituting these values, we get:\($A = \frac{10-2}{2} = 4$\)

Therefore, the equation for the population of the island is:\($P(t) = \frac{10}{1 + 4 e^{-0.032t}}$\)

To find the population in 2050, we substitute\($t = 100$\) (since 63 years have already passed and we want to find the population in 2050, which is 100 years after 1950):

\($P(100) = \frac{10}{1 + 4 e^{-0.032 \times 100}} \approx \boxed{8.76}$ million\)
Therefore, the estimated population of the island in 2050, assuming constant carrying capacity and consumption per capita, is approximately 8.76 million.

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Answer:

Step-by-step explanation:

The equality of subtraction states that you must subtract the same amount from both sides of an equation.

Both the equality's subtraction and addition properties are comparable. Both sides of an equation remain equal when the same number is added to or subtracted from both sides.

In order to balance an equation, one must apply the same mathematical operation to both sides, which is known as the subtraction property of equality.

The equality of subtraction states that you must subtract the same amount from both sides of an equation.

If a = b

then; a - c = b - c

Given information:

x + 5 = 15

By subtraction property of equality:

Subtract 5 from both sides we have;

x + 5 - 5 = 15 - 5

then; x = 10

Therefore, the correct answer is option b subtraction property of equality.

The complete question is:

Select the statement that best justifies the conclusion based on the given information. if x 5 = 15, then x = 10.

a addition property of equality

b subtraction property of equality

c multiplication property of equality

d substitution

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\(\huge\boxed{Hi\:there!}\)

\(\huge\sf{3x=9^2}\)

\(\huge\sf{3x=81}\)

\(\huge\sf{Divide\:both\:sides\:by\:3\:to\:isolate\:x:}\)

\(\huge\sf{x=27}\)

\(\huge\boxed{Hence,\:x=27.}\)

\(\huge\sf\underline{Hope\:it\:helps}\)

\(\boxed{CheerfulGirlie\:here\:to\:help}\)

Find the value of x

3x = 9²

x = 27

=> 3x = 9²

=> 3x = 81 [9² = 9×9 = 81]

=> x = 81/3

=> x = 27

Answer:

1. 4

2. 4

3. 1.5

Step-by-step explanation:

1. Because the upper right angle is 90 this also must be 90, so x=4

I don’t know how to explain the other two they are kinda self explanatory

I hope these help and I would love a brainliest :)

The solution for the given equation dr de + 8-517 + dr de -5/7 = -6 is dr de = 254/7.

The equation that we have is dr de + 8-517 + dr de -5/7 = -6.

We are required to find the value of dr de.

Adding both sides of the equation will give us: dr de + dr de -5/7 + 8 - 517 = -6

Simplifying the given equation we will get:2dr de -5/7 - 509 = -6Add 509 to both sides to obtain: 2dr de - 5/7 = -6 + 509

Adding like terms on the right will give us:2dr de - 5/7 = 503/7

Adding 5/7 to both sides of the equation gives us:2dr de = 503/7 + 5/7 Simplifying the above equation we get: 2dr de = 508/7

Now, divide both sides by 2:dr de = 508/7 × 1/2dr de = 508/14dr de = 254/7

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Answer:

X= 20

Step-by-step explanation:

2( x ‐ 12)= 16

2x ‐24 = 16 ( times in your brackets)

2x ‐ 24 ‐ 16 = 0

2x ‐ 40= 0

2x = 40

x = 20

When m = 16, the value of P is 18, given that P is inversely proportional to m and P = 36 when m = 8.

When we say that P is inversely proportional to m, it means that as one variable increases, the other variable decreases, and the product of the two variables remains constant. Mathematically, we can express this relationship using the formula P = k/m, where k is a constant of proportionality.

In the given problem, we are given the initial condition that P = 36 when m = 8. We can use this condition to solve for the constant of proportionality k by substituting the values of P and m into the formula:

36 = k/8

Solving for k, we get:

k = 288

Now that we know the value of k, we can use it to find the value of P when m = 16:

P = k/m

P = 288/16

P = 18

Therefore, when m = 16, P has a value of 18.

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Answer:

a

Step-by-step explanation:

For negative correlation, Look for data that is going down

Answer:

t = 17

Step-by-step explanation:

What do you mean? Do you want us to solve for t?

t - 12 = 5

Add 12 to both side leaving t by itself.

t - 12 + 12 = 5 + 12

Add 5 + 12 getting t as your answer.

t = 17