stretch your thinking write a word problem for the following
equation. 4/5 x 1/4+ 3/5=

Answer:

The domain would include all the real values except \(x = 2\) and the x for which \(v(x) = 0\).

Hence, the restrictions would be:

and

Step-by-step explanation:

Given

The domain of u(x) is the set of all real values except 0.

so

domain = (-∞, 0) U (0, ∞)

The domain of v(x) is the set of all real values except 2.

so

domain = (-∞, 2) U (2, ∞)

For the function composed function (u circle v) (x), we need to apply first the function \(v(x)\)  whose argument is (x), and then the function \(u (v(x) )\) whose argument is \(v(x)\).

Please note that the domain of the composed function (u circle v) (x) must have to take into account the values for which both functions u(x) and v(x) are defined.

Therefore, the domain would include all the real values except \(x = 2\) and the x for which \(v(x) = 0\).

Hence, the restrictions would be:

and

Answer:

c

Step-by-step explanation:

edge 2020

On solving the provided question, we can say that the value of x = 5√3

and value of y = 10.

How to find the value of x and y?

To find the values of x and y, you will need to use

According to the given question:

Using the table of trig values, we find that

sin30°=1/2

So, this gives us:

1/2 = sin 30° = 5/y

1/2 = 5/y

(1xy)/2 = 5

y= 2×5 =10

Next, using the Pythagorean Theorem, we find that

5²+x²=10²

x²=100−25=75

Solve for x:

x=√75=√3×25=5√3

Complete question:

How do you find the value of X and Y. Y is the hypotenuse, 5 is the adjacent side and X is the opposite side from Y, and in the triangle there is 30 degrees where X and Y lines meet?

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Answer: 3 inches wide (estimated orignially it came up to 2.65)

               2 inches length

Step-by-step explanation:

Answer:go00ogle it !!

Step-by-step explanation:

The expression, in terms of 'r' , for the number of bird boxes Johan made in the second week of April is r/2.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

In the second week of April, Johan made half as many bird boxes as he did the week before. The expression, in terms of 'r' , for the number of bird boxes Johan made in the second week of April is:

= 1/2 × r

= r/2.

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Answer:

1) 7 times a number

2) m + 3

3) n/2

Step-by-step explanation:

Answer:

The first one, the triangle

Step-by-step explanation:

It has three sides, and if you were to replicate the object in 3D it would have 5 vertices.

Answer:

B) 243 km^3

Step-by-step explanation:

The formula for volume is Length x width x height, so we must find those values. By looking at the shape, the length is 9 km, width is 9 km, and height is 3 km, and after substituting these values in the equation, we get 9 km x 9 km x 3 km. When multiplied, it equals to 243 km^3, so the answer for the volume of the solid is B) 243 km^3.

Hope this helped somewhat! :P

Answer: C

Step-by-step explanation:

The temperature increase went down because it became cooler as the sun went down for the night.

The point Y(6, -1) was translated along the vector (-4, -3) to get point Y'(2, -4)

An equation is an expression that shows the relationship between two or more numbers and variables.

Translation can be defined as the movement of a point in the coordinate plane either up, down, left or right.

Given that:

Y'(2, -4) is the image of y after a translation along the vector (-4, -3). Hence:

Coordinate of y = [(2 - (-4)), (-4 - (-3)] = (2 + 4, -4 + 3) = (6, -1)

The coordinate of point y is (6, -1)

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The correct answer is  your friend needs to deposit approximately $13,334.45 annually from her 26th birthday to her 65th birthday to be able to make the desired withdrawals at retirement.

To determine the annual deposit your friend needs to make for her retirement fund, we'll calculate the present value of the desired withdrawals during retirement and then solve for the equal annual deposit.

Step 1: Calculate the present value of the withdrawals during retirement

Using the formula for the present value of an annuity, we'll calculate the present value of the $250,000 withdrawals per year for 20 years after retirement.

\(PV = CF * [1 - (1 + r)^(-n)] / r\)

Where:

PV = Present value

CF = Cash flow per period ($250,000)

r = Rate of return after retirement (5%)

n = Number of periods (20)

Plugging in the values, we get:

PV = $250,000 * \([1 - (1 + 0.05)^(-20)] / 0.05\)

PV ≈ $2,791,209.96

Step 2: Calculate the equal annual deposit before retirement

Using the formula for the future value of an ordinary annuity, we'll calculate the equal annual deposit your friend needs to make from her 26th birthday to her 65th birthday.

\(FV = P * [(1 + r)^n - 1] / r\)

Where:

FV = Future value (PV calculated in Step 1)

P = Payment (annual deposit)

r = Rate of return before retirement (8%)

n = Number of periods (40)

Plugging in the values, we get:

$2,791,209.96 = \(P * [(1 + 0.08)^40 - 1] / 0.08\)

Now, we solve for P:P ≈ $13,334.45

Therefore, your friend needs to deposit approximately $13,334.45 annually from her 26th birthday to her 65th birthday to be able to make the desired withdrawals at retirement.

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Answer:

is there more in the question

Answer:

alternate interior angles

Step-by-step explanation:

They are on opposite sides of the line and they are equal to each other

The expected time for activities, use the formula for expected value and multiply the time for each activity by its probability. Therefore, the expected time for these activities is 2.8 hours.

To calculate the expected time for activities, we can use the formula for expected value.

The expected value is calculated by multiplying the time for each activity by its probability of occurrence, and then summing up these values. The formula for expected value is: Expected Value = (Time1 * Probability1) + (Time2 * Probability2) + ... + (TimeN * ProbabilityN) Here's a step-by-step example:

1. List all the activities and their corresponding times and probabilities.

2. Multiply the time for each activity by its probability.

3. Sum up the values obtained in step 2.

For example, let's say we have two activities: Activity 1: Time = 2 hours, Probability = 0.6 Activity 2: Time = 4 hours, Probability = 0.4 Using the formula, we calculate the expected time as follows: Expected Time = (2 hours * 0.6) + (4 hours * 0.4) = 1.2 hours + 1.6 hours = 2.8 hours

Therefore, the expected time for these activities is 2.8 hours.

Here full question is not provided  but the full answer given above.

Remember, this is just one example, and you can use the same formula for any number of activities with their respective times and probabilities. In summary, to calculate the expected time for activities, use the formula for expected value and multiply the time for each activity by its probability. Then, sum up these values to get the expected time.

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Answer:

\(M=\frac{280}{140} =2\)

\(C=2+5=7\)

(2 Movies and 7 Commercials)

Step-by-step explanation:

Let's represent every time Carson's songs are played in a commercial as C and in movies as M.

Set up the following equations:

\(20C+120M=380\)  (1)

\(C=M+5\)   (2)

Substitute equation 2 for equation 1:

\(20(M+5)+120M=380\)

Distribute:

\(20M+100+120M=380\)

Simplify:

\(140M=280\)

Divide both sides by 140:

\(M=\frac{280}{140} =2\)

Substitute 2 as M back into either original equation, I will use (2):

\(C=2+5=7\)

Answer:

Step-by-step explanation:

Answer:

ΔABD ≅ ΔCDB

Step-by-step explanation:

Since a = 3, we can sub 3 into the expressions and then get a value for each side length.

AB: 3 + 7 = 10

BC = 16

CD: 12 - 2 = 10

DA: 18 - 2 = 16

Hence:

AB = CD (both have sidelengths of 10)

AD = CB (both have sidelengths of 16)

BD = BD (common line)

Therefore: ΔABD ≅ ΔCDB      Q.E.D.

We have the series with the n-th term given by a_n = 9 - 5n, starting with n = 1.

To find the first four partial sums, we add up the terms from n = 1 to n = 4:

s1 = a1 = 9 - 5(1) = 4

s2 = a1 + a2 = (9 - 5(1)) + (9 - 5(2)) = 4 - 10 = -6

s3 = a1 + a2 + a3 = (9 - 5(1)) + (9 - 5(2)) + (9 - 5(3)) = 4 - 10 - 16 = -22

s4 = a1 + a2 + a3 + a4 = (9 - 5(1)) + (9 - 5(2)) + (9 - 5(3)) + (9 - 5(4)) = 4 - 10 - 16 - 22 = -44

Therefore, the first four partial sums are: s1 = 4, s2 = -6, s3 = -22, and s4 = -44.

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A graph of y=2 look like the picture attached below

Any equation that can be rearranged into the form y = 2, will have a straight line graph. The collection of points that make up the equation's graph are its solutions.Y=mx+c, where m is the slope and c is the y-intercept, is your equation in slope intercept form.

The slope is m=0 and the y-intercept is c=2 in the slope intercept form of the equation y=2. The graph of the equation is given by y=0x+2. and the graph is a horizontal line with y values that are all equal to two.

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Given:

\(g(x)=-(x-2)^4\)

\(f(x)=x^4\)

To find:

How does the graph of g(x) compare to the parent function of f(x)?

Solution:

The translation is defined as

\(g(x)=kf(x+a)+b\)                .... (1)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If k<0, then graph of f(x) reflected over x-axis.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

We have,

\(f(x)=x^4\)

\(g(x)=-(x-2)^4\)

So,

\(g(x)=-f(x-2)\)    ...(2)

From (i) and (ii), we get

\(k=-1<0\), it means g(x) reflected over the x-axis.

\(a=-2<0\), it means g(x) shifted 2 units to the right .

Therefore, the correct option is A.

Answer:

A. g(x) is shifted 2 units to the right and reflected over the x-axis.

Step-by-step explanation:

Answer:

h(5) = 20

Step-by-step explanation:

Assume that '2' is an exponent.

So the question for you should be:-

\( \displaystyle \large{h(x) = {x}^{2} - x}\)

We want to find h(5); we substitute x = 5 in.

\( \displaystyle \large{h(x) = {5}^{2} - 5}\)

5^2 is 5•5 = 25.

\( \displaystyle \large{h(x) = 25 - 5} \\ \displaystyle \large{h(x) = 20}\)

Therefore, h(5) is 20.

There are numerous ways to grade a class of ten students. There are seven possible grades that could be given (A, B, C, D, F, I, or NC), depending on the grading scheme employed.

This indicates that there are mathematically 7 to the power of 10 (710) distinct methods to give the kids grades. There are approximately 8.3 billion ways to grade the ten pupils, or 8,300,000,000 ways in total.

Because there are seven different grades for each student, this number is extremely high. The number of possible options increases exponentially because there are 10 pupils. As a result, there are countless alternatives for how to assess the 10 kids.

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The amount after 2 years will be 855.3248

Interest, in its most simple form, is calculated as a percent of the principal.

Given:

P= £800 , r= 3.4%, t= 2 year

For, compounded annually

=800*(0.034+1)²

=800* 1.034*1.034

=800* 1.069156

=855.3248

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the ship is approximately 271 feet close to the rocks at the time of the second sighting.

To find how close the ship is to the rocks at the time of the second sighting, we can use trigonometry and the concept of similar triangles.

Let's consider the triangle formed by the ship, the lighthouse, and the rocks. The first angle of elevation of 37° and the second angle of elevation of 50° indicate that we have two similar triangles.

Let h be the height of the lighthouse and x be the distance between the ship and the rocks. From the first triangle, we can set up the equation: h / x = tan(37°).

Similarly, from the second triangle, we have: (h + 100) / (x - 250) = tan(50°).

Now we can solve these equations simultaneously to find the value of x. Rearranging the equations gives us: h = x * tan(37°) and h + 100 = (x - 250) * tan(50°).

Substituting the value of h from the first equation into the second equation, we have: x * tan(37°) + 100 = (x - 250) * tan(50°).

Simplifying the equation gives us: x * tan(37°) + 100 = x * tan(50°) - 250 * tan(50°).

Rearranging the terms and isolating x, we get: x = (100 + 250 * tan(50°)) / (tan(37°) - tan(50°)).

Evaluating this expression gives us approximately x ≈ 271.41 feet.

Therefore, the ship is approximately 271 feet close to the rocks at the time of the second sighting.

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Answer:

no understand I live in myanmar .I donot know mathamatic

Answer:

b

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Answer:

It’s infinitely many solutions

Step-by-step explanation:

always look at the variables

if the variables are different , the equation will have one solution.

if the numbers are not equally after taking off the variables then they are no solution

identical sides means infinite solution.

Let ABC be the given triangle. We can construct two triangles PAB and PBC such that they share the same height from P to AB and P to BC, respectively. We can label the side lengths of PAB and PBC as x and y, respectively. The total area of the triangle ABC is the sum of the areas of PAB and PBC:

Area_ABC = Area_PAB + Area_PBC We can write the area of each of the sub-triangles in terms of x and y by using the formula for the area of a triangle: Area_PAB = (1/2)(12)(x) = 6xArea_PBC = (1/2)(15)(y) = (15/2)y Setting the areas equal to each other and solving for y yields: y = (4/5)x Substituting this into the equation for the area of PBC yields:

Area_PBC = (1/2)(15/2)x = (15/4)x The area of ABC can also be written in terms of x by using the formula: Area_ABC = (1/2)(AB)(PQ) = (1/2)(12)(PQ) + (1/2)(15)(PQ) = (9/2)(PQ) Setting the areas equal to each other yields:(9/2)(PQ) = 6x + (15/4)x(9/2)(PQ) = (33/4)x(9/2)(PQ)/(33/4) = x(6/11)PQ = x(6/11)Thus, we can see that the longest possible integer length of the third altitude is $\boxed{66}$.

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40 + 18x + 2x2 = 0 Solving 40 + 18x + 2x2 = 0 ... Factor out the Greatest Common Factor (GCF), '2'.

The correct answer is option (D) "The graph shifts 7 units right and 8 units down".Explanation:To solve the given question, we need to use the rules for vertical and horizontal shifts, which are as follows:

Vertical Shift: y=f(x)+a moves the graph of f(x) upward if a > 0 and downward if a < 0.Horizontal Shift: y=f(x+a) moves the graph of f(x) left if a > 0 and right if a < 0.Now, let's transform the function f(x) into function g(x) and determine the shift required.The transformation of f(x) to g(x) is: g(x) = f(x - a) + bwhere a = horizontal shift and b = vertical shiftThe equation of the given functions is:f(x) = 1/(x − 2) and g(x) = 1/(x^(5/9))Let's set the equation of function f(x) in the standard form:y = 1/(x - 2)and the equation of function g(x) in the standard form:y = 1/(x^(5/9))

Now, we can observe that:To transform the graph of f(x) onto the graph of g(x), we need to shift the graph of f(x) right by 7 units and down by 8 units, which is given in option (D).Hence, the correct option is (D) "The graph shifts 7 units right and 8 units down".

The graph shifts 7 units right and 8 units down is the statement that describes the transformation of the graph of function f onto the graph of function g.Conclusion:Thus, we have determined the correct answer with an explanation and concluded that the correct option is (D) "The graph shifts 7 units right and 8 units down".

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Answer:

Add like terms 7x - 9

Step-by-step explanation: