Write an equation for the following graph

The length of the side opposite to the reference angle is 7.77 units.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

If we take the reference angle 45°, The side 'x' is opposite and the side having a length of 11 units is the hypotenuse.

We know, sin = opposite/hypotenuse.

Therefore,

sin45° = x/11.

1/√2 = x/11.

x = 11/√2.

x = 7.77 units.

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Onto but not one-to-one. is f(x)  which is obtained by removing the second bit from x and placing the bit at the end of the string.

The function f is said to be "onto" because it maps every element in its codomain (the set of possible output values) to at least one element in its domain (the set of possible input values). In this case, the codomain is the set of all binary strings of length 3, and the domain is the set of all binary strings of length 2. However, the function is not one-to-one, because there are multiple elements in the domain that are mapped to the same element in the codomain. For example, both "10" and "01" are mapped to "100". This means that the function f is not one-to-one, meaning that it doesn't map every element in its domain to a unique element in its codomain. A function is said to be one-to-one if every element in its domain (the set of possible input values) is mapped to a unique element in its codomain (the set of possible output values). In other words, no two elements in the domain have the same image (output) under the function. A function is said to be onto if every element in the codomain is mapped to by at least one element in the domain. In other words, every element in the codomain has at least one pre-image (input) under the function. In the case of the function f described in the previous question, it is onto because every binary string of length 3 can be obtained as the output of the function for some binary string of length 2. However, it is not one-to-one because there are multiple binary strings of length 2 that are mapped to the same binary string of length 3. For example, both "10" and "01" are mapped to "100".

So, the function f is described as "onto but not one-to-one".

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The diameter of the outer circle = 12.907 ft

The thickness of the circular pipe = 2.983 ft

The diameter of the inner circle = q = The diameter of the outer circle - The thickness of the circular pipe

⇒ The diameter of the inner circle = 12.907 - 2.983 ft

⇒ The diameter of the inner circle = q = 9.924 ft

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Answer:

128 km.

Stage 1: Find value of 4/5.

4/5 = 128 of 160 (128 km.)

Hope it helps!

Answer:

Step-by-step explanation:

given:

A traveler covered 4/5 of his journey with bicycle and the rest of the distance on foot. If the whole journey was 160 km,

find:

how much distance did he cover on foot?

solution:

total jorney = 160 km

4/5 (160) + (x) = 160

(x) = 160 - 128

x = 32

therefore, the distance travelled on foot is 32 km

The value of the house 2 years from now is $276,480.

Option (C) is correct.

According to the question,

Cost of house last year = $  160000

Cost of house at present = $ 192000

The increase in the price of the house is calculated by finding the difference between the prices in two consecutive years.

Increment in cost = $ (192000-160000) =$ 32000

The rate of increment can be calculated by dividing the increment by the original price and then multiplying it by 100%.

Rate of increment = 32000/160000 * 100 =20%

Thus, the value of the house 2 years from now is calculated as:

=192000(1+20/100)(1+20/100)

=192000*120/100*120/100

= $ 276480

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Answer:

24/25

Step-by-step explanation:

In this triangle DF and FE are legs (because they form the right angle) , ED is the hypotenuse (it is the largest side, it is opposite to the right angle).

son of E is the ratio of the leg opposite to the angle E (DF) to the hypotenuse

it is 24/25

Answer:

1. 2 + 12i

2. -3 - 4i

3. 7 - 11i

4. -9i

Step-by-step explanation:

just add and subtract like 'i' is a variable and make sure the answer is in the form a+bi

Answer: To factorize the expression 6x + 8 fully, we can first look for the greatest common factor (GCF) of the two terms. In this case, the GCF is 2.

Step 1: Factor out the GCF:

2(3x + 4)

Now, we have the expression 3x + 4 inside parentheses. This expression cannot be further factorized since there are no common factors other than 1.

Therefore, the fully factorized form of 6x + 8 is:

2(3x + 4)

Step-by-step explanation:)

The factored expression is:

Step-by-step explanation:

To factor the expression, look at its GCF (greatest common factor).

Clearly the GCF of both terms is 2. So what we do next is we divide both terms by 2 :

The result is :

And now the 2 goes outside the parenthesis:

Hence, the answer is 2(3x + 4).

The preparation of the branch's income statement for Santosh & Co. Chennai is as follows:

Branch of Santosh & Co. Chennai

For the year ended December 31, 2018

Sales revenue            $40,300

Cost of goods sold         4,200

Gross profit                 $36,100

Expenses:

Office expenses $36,000

Salaries                    3,600

Total expenses         $39,600

Loss                             $3,500

An income statement is a financial statement prepared at the end of an accounting period to determine the profit or loss generated by a business or branch.

The profit or loss is the difference between the total revenue and the total expenses for the accounting period.

Credit sales at branch 40,000

Office expenses by Head office 36,000

Cash remittance to branch for petty cash 9,000

Goods sent to Branch 7,200

Salaries paid by head office 3,600

Debtors 31.12.2018 30,000

Petty cash on 31.12.2018 16,200

Cash sales at branch 300

Stock of 31.12.2018 3,000

Sales revenue   $40,300 ($40,000 + $300)

Cost of goods sold $4,200 ($7,200 - $3,000)

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Step-by-step explanation:

that is just a complicated way to ask, at what values of x is the functional value infinite ? or directly, for what values of x is the denominator of that fraction 0 ?

it is zero, if just one of the 3 factors is 0.

and that would happen for

x = 0

x = -6

x = 1

so, A, D and E are correct.

Answer:Wasps with long wings are less likely to survive.

Step-by-step explanation:Because offsprings can happen is diffrent ways say a bird had a offsring that made it have one leg it wouldent sureive to the standers of a bird with 2 legs same goes for other animals sorry if there is some spelling misakes hope this helped:)

Answer:

x ≈ 56.6°

Step-by-step explanation:

using the cosine ratio in the right triangle

cos x = \(\frac{adjacent}{hypotenuse}\) = \(\frac{EF}{DF}\) = \(\frac{4.4}{8}\) , then

x = \(cos^{-1}\) ( \(\frac{4.4}{8}\) ) ≈ 56.6° ( to the nearest tenth )

Answer:

8 x m = 45

Step-by-step explanation:

cassie has 9 times which means multiplcation so its the first one

y + 2 = 5/2 (x - 6) ; 5x-2y=34 ; y=5/2x-17 is the equations of the line that goes through the point (6,-2) and is perpendicular to the line y+2=-2/5(x-10), Hence the correct options are B, C and F.

The standard forms of the equation of a line are:

Slope-intercept form:

y = mx + c

Where m indicates the slope of the line and c is the y-intercept

Intercept form:

x/a + y/b = 1

General form of the equation of the straight line, i.e. Ax+By+C = 0

x/(-C/A) + y/(-C/B) = 1

where a = -C/A and b = – C/B

Normal form:

The equation of the line whose length of the normal from the origin is p and the angle made by the normal with the positive x-axis is given by α is given by:

x cos α+y sin α = p

Given,

Point = (6,-2) = (x2,y2)

Equation of line = y+2=-2/5(x-10)

General equation of the line = y - y1 = m ( x-x1 )

After comparing we get,

Slope of the given line = -2/5

As we know both the lines are perpendicular to each other so, product of their slopes must be equal to -1.

m1 × m2 = -1

-2/5 × m2 = -1

We get m2 = 5/2

So the equation of the line having slope  5/2 and passing through  (6,-2) is:

y - y2 = m2 ( x-x2 )

y -(-2) = 5/2 (x - 6)

y + 2 = 5/2 (x - 6)

Hence, we get equation of the line as y + 2 = 5/2 (x - 6) .

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Therefore, using the multiplier formula, a $525,000,000 increase in RGDP would result in a total increase in spending of $2,625,000,000.

To use the multiplier formula, we need to know the marginal propensity to consume (MPC), which is the fraction of each additional dollar of income that is spent on consumption.

The multiplier formula is: Multiplier = 1 / (1 - MPC)

If we assume an MPC of 0.8 (meaning that for every additional dollar of income, 80 cents are spent on consumption), the multiplier would be:

Multiplier = 1 / (1 - 0.8) = 5

So, if the change in Real Gross Domestic Product (RGDP) is $525,000,000, the total increase in spending (including consumption, investment, government spending, and net exports) would be:

Total spending increase = Multiplier x RGDP change

Total spending increase = 5 x $525,000,000

Total spending increase = $2,625,000,000

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Answer:

x < 4

Step-by-step explanation:

The inequality:

\(x2.5 < 10\)

Divide each side by 2.5 to isolate x (make x alone):

\(\frac{x2.5}{2.5} < \frac{10}{2.5} \\x < 4\)

The Area of the shaded portion is: 72 square inches

The formula for the area of a triangle is given by the formula:

Area = ¹/₂ * base * height

Now, to get the area of the shaded portion, we will get the area of the larger triangle and subtract the area of the smaller one from it.

Thus:

Area of larger triangle = ¹/₂ *  17 * 13 = 110.5 square inches

Area of smaller triangle =  ¹/₂ * 11 * 7 = 38.5 square inches

Thus:

Area of shaded portion = 110.5 square inches - 38.5 square inches

Area of shaded portion = 72 square inches

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Answer:

59

Step-by-step explanation:

6 plus 4 equals 8 plus 9

The relation that is a function is D: {(–3, 2), (–2, 3), (–1, 2), (0, 4), (1, 1)}.

A function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. In other words, for a relation to be a function, each input can only be related to one output.

In relation D, each input (x-value) has a unique output (y-value), meaning that each x-value is only paired with one y-value. In contrast, relations A, B, and C have repeated x-values with different y-values, which means that they are not functions.

In relation A, the input -1 is paired with two different outputs (2 and 3). In relation B, both inputs 0 and -1 are each paired with two different outputs. In relation C, both inputs 0 and -3 are each paired with two different outputs. Therefore, only relation D satisfies the definition of a function.

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Answer:

Rn-222

Step-by-step explanation:

this decay takes specified step therefore Rn-222is not a decaying process

The nuclide that could not be involved in this decay series is U-239 (Option B).

A decay series for a nuclide is a sequence of radioactive decay that a particular radioactive isotope undergoes until it reaches a stable form. This sequence of decay is known as a decay chain or radioactive series.

The decay series from ²³⁸₉₂U to ²⁰⁶₈₂Pb involves a series of alpha and beta decays, producing a chain of daughter nuclides.

Each daughter nuclide in the chain is itself radioactive and decays into the next daughter nuclide until the stable nuclide ²⁰⁶₈₂Pb is reached.

A) Th-234: This nuclide is produced by the alpha decay of ²³⁸₉₂U and can decay into the next nuclide in the chain, Pa-234, by beta decay. Therefore, Th-234 can be involved in this decay series.

B) U-239: This nuclide is not produced by the alpha decay of ²³⁸₉₂U and cannot be involved in this decay series.

C) Po-218: This nuclide is produced by the alpha decay of ²²⁶₈₈Ra, which is a daughter nuclide in the decay series. Po-218 can decay into Pb-214, which is another daughter nuclide in the decay series. Therefore, Po-218 can be involved in this decay series.

D) Bi-214: This nuclide is produced by the beta decay of Po-214, which is a daughter nuclide in the decay series. Bi-214 can decay into Po-214 or Tl-210, which are both daughter nuclides in the decay series. Therefore, Bi-214 can be involved in this decay series.

E) Rn-222: This nuclide is produced by the alpha decay of ²²⁶₈₈Ra, which is a daughter nuclide in the decay series. Rn-222 can decay into Po-218, which is another daughter nuclide in the decay series. Therefore, Rn-222 can be involved in this decay series.

Therefore, U-239 is the required nuclide.

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Answer:

a. P= 0.6364

b. P = 0.3636

c. Q = $21.25

d. P = 0.5

Step-by-step explanation:

given data

value of a stock varies = $13 to $24

solution

P (stock value is more than $17)

P = \(\frac{(24-17)}{(24-13)}\)

P =  \(\frac{7}{11}\)

P = 0.6364

and

P (value of the stock is between $17 and $21)

P = \(\frac{(21-17)}{(24-13)}\)

P = \(\frac{4}{11}\)

P = 0.3636  

and  

Let the upper quartile be Q

\(\frac{(24 - Q)}{(24 - 13)} = 0.25\)

\(\frac{(24 - Q)}{11} = 0.25\)

(24 - Q) = 2.75

so

Q = $21.25

and

P(X > 20 | X > 16)

P = \(\frac{(24-20)}{(24-16)}\)

P = \(\frac{4}{8}\)

P = 0.5

Using the uniform distribution, it is found that:

a) 0.6364 = 63.64% probability that the value of the stock is more than $17.

b) 0.3636 = 36.36% probability that the value of the stock is between $17 and $21.

c) The upper quartile is of 21.25.

d) 0.5 = 50% probability that the stock is more than $20.

An uniform distribution has two bounds, a and b.  

The probability of finding a value of at lower than x is:

\(P(X < x) = \frac{x - a}{b - a}\)

The probability of finding a value between c and d is:

\(P(c \leq X \leq d) = \frac{d - c}{b - a}\)

The probability of finding a value above x is:

\(P(X > x) = \frac{b - x}{b - a}\)

In this problem, varies each day from $13 to $24 with a uniform distribution, hence \(a = 13, b = 24\)

Item a:

\(P(X > 17) = \frac{24 - 17}{24 - 13} = 0.6364\)

0.6364 = 63.64% probability that the value of the stock is more than $17.

Item b:

\(P(17 \leq X \leq 21) = \frac{21 - 17}{24 - 13} = 0.3636\)

0.3636 = 36.36% probability that the value of the stock is between $17 and $21.

Item c:

This is the 75th percentile, that is, the value of x for which P(X < x) = 0.75.

\(P(X < x) = \frac{x - a}{b - a}\)

\(0.75 = \frac{x - 13}{24 - 13}\)

\(x - 13 = 11(0.75)\)

\(x = 21.25\)

The upper quartile is of 21.25.

Item d:

Greater than $16, hence \(a = 16\).

\(P(X > 20) = \frac{24 - 20}{24 - 16} = 0.5\)

0.5 = 50% probability that the stock is more than $20.

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Multiply equation 2 by 3. Then subtract the result from equation 1.

Explanation:

The 2nd equation given to us is -2x+y = 8

Triple both sides to get -6x+3y = 24

This means the original system

\(\begin{cases}2x-3y = 12\\-2x+y = 8\end{cases}\)

is equivalent to

\(\begin{cases}2x-3y = 12\\-6x+3y = 24\end{cases}\)

If we were to add the equations, then the y terms would cancel out because -3y+3y = 0y = 0.

Subtracting the equations will not cancel out the y terms.

-3y minus 3y = -3y -3y = -6y

Therefore the portion saying "Then subtract the result from equation 1." in answer choice B is not correct. It should be "add the equations" or "add the result to equation 1" after tripling both sides of the 2nd equation.

Answer choices A and C say the same thing more or less. Adding the original equations straight down will cancel out the x terms. Therefore, choices A and C are valid approaches to using elimination. We can cross choices A and C off the list.

Answer:

64

Step-by-step explanation:

152+84=236

300-236=64

Answer:

x = - 1

Step-by-step explanation:

Just by looking, we can tell that the axis of symmetry in this graph is going to be a vertical line. to make vertical lines, we start with:

x = ____

For a quadratic, the vertical line always hits the vertex. The x value of the vertex is - 1.

Therfore, the equation of the axis of symmetry is x = - 1

The differential equation for the amount of salt in the tank is obtained as \(A = \frac{2000}{3} - \frac{2000}{3} \times e^{(\frac{-9t}{250})}\).

What is differential equation?

Any equation with one or more terms and one or more derivatives of the dependent variable with respect to the independent variable is referred to as a differential equation.

We can start by finding the rate of change of salt in the tank. Let's call this quantity dA/dt, where A is the amount of salt in the tank.

The salt that enters the tank at a rate of 10 grams per liter, so the amount of salt that enters the tank per minute is -

10 grams/liter × 6 liters/minute = 60 grams/minute

The salt that leaves the tank at a rate of 9 liters per minute, so the amount of salt that leaves the tank per minute is -

A/250 grams/liter × 9 liters/minute = 9A/250 grams/minute

Therefore, the rate of change of salt in the tank is -

dA/dt = 60 - 9A/250

This is a separable differential equation, which we can solve by separating the variables and integrating -

dA/(60 - 9A/250) = dt

Multiplying both sides by (250/9) and integrating, we get -

-250/9 × ln|60 - 9A/250| = t + C

where C is an arbitrary constant of integration.

Solving for A, we get -

\(A = \frac{250}{9} \times (60 - e^{(\frac{-9t}{250} + C)})\)

To find the value of C, we can use the initial condition that there are 11 grams of salt in the tank initially (when t = 0) -

A(0) = 11

Substituting t = 0 and A(0) = 11 into the equation above, we get -

\(11 = \frac{250}{9} \times (60 - e^C)\)

Solving for C, we get -

C = ln(60 - 9/250 × 11)

C = ln(57.28)

Therefore, the amount of salt in the tank as a function of time t is -

\(A = \frac{250}{9} \times (60 - e^{(\frac{-9t}{250} + ln(57.28))})\)

Simplifying this expression, we get -

\(A = \frac{2000}{3} - \frac{2000}{3} \times e^{(\frac{-9t}{250})}\)

Therefore, the differential equation is \(A = \frac{2000}{3} - \frac{2000}{3} \times e^{(\frac{-9t}{250})}\).

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Answer:

9.20

Step-by-step explanation:

107%->147.66

100%->138

138÷15=9.20

Answer:

The correct answer is B: Saturday.

The relationship between Monday and Thursday is that they are two days apart in a typical Monday-to-Sunday week. Similarly, Friday is also two days apart from Tuesday in a typical week, so the relationship between Friday and Tuesday would be the same as the relationship between Monday and Thursday. Therefore, the correct answer is B: Saturday.

Answer:

C

Step-by-step explanation:

trust me c is the correct answer