Alvin can jog 9 km in 0.75 hr. and bicycle 12 km in 0.5 hr.



How many kilometers does Alvin travel during each event?

Event

d (km)

r (km/hr.)

t (hr.)

Jogging


rj

0.75

Bicycling


rb

0.5

Answer:

B

Step-by-step explanation:

for every given input there is a unique output in B, there are two times in which 5 is the output. So it is not a function

Answer:

x^2+9x+18

Step-by-step explanation:

x-y=0

x=y

in this case we have the roots which are the x values so:

x=-6

x+6=0

and

x=-3

x+3=0

(x+3)(x+6)=0

x^2+6x+3x+18=0

x^2+9x+18=0

Answer:

depends on what the questions are...

Step-by-step explanation:

Answer:

show questions

Step-by-step explanation:

Answer:

x=29.9

Step-by-step explanation:

x=29.9

The given system of equations is inconsistent and has no solution. There is no specific value for y that satisfies all three equations.

The given system of equations is:

4x = 2

2y = 0

x + y = 11

We can examine each equation individually to determine the best approximation for a solution. The first equation, 4x = 2, can be simplified to x = 1/2. The second equation, 2y = 0, simplifies to y = 0. The third equation, x + y = 11, does not provide any new information as it conflicts with the values obtained from the first two equations.

By comparing the values obtained for x and y, we can see that there is a contradiction. x = 1/2 and y = 0 do not satisfy the third equation, x + y = 11, which implies that there is no single pair of values for x and y that simultaneously satisfy all three equations.

Therefore, the system of equations is inconsistent and has no solution. It is not possible to determine a specific value for y that would best approximate a solution in this case.

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The complete question is:

Find the best approximation to a solution of the following systems of equations. What the value for y?

4x=2

2y=0

x + y=11

The Total surface of triangular prism  is 112 inches.

To calculate the surface area of a triangular prism, you need the measurements of the base and the height of the triangular faces, as well as the length of the prism.

The given measurements are;

Base ; 5 inches and  4 inches

height is 8 inches

Length of the prism is 2 inches.

To find the total surface area, we sum up the areas of all the faces:

Total surface area = area of triangular  faces + area of rectangular faces + area of lateral faces.

area of triangular faces = 5 inches × 4 inches = 20 inches.

area of the two faces = 20 ×2 =40

Area rectangular faces = 5 inches × 8 inches/ 2 = 40 inches.

Area of lateral faces = 8 inches ×2 = 16 square inches

for the two lateral faces is 16 × 2 = 32 square inches.

Total surface area = 40 square inches + 40 inches + 32 square inches = 112 square inches.

The Total surface of triangular prism  is 112 inches.

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The net of a triangular pyramid consist of a total of 4 triangles. it has 4 faces with the base being one of them which is also in the shape of a triangle.

A net of the triangular pyramid is the pattern formed when the surface of it is laid out flat showing each triangular face of the figure, therefore we know that the net of a triangular pyramid consist of a total of 4 triangles.

Triangular pyramid  is a pyramid which has a triangular base. In geometry, vertices are essentially corners. All triangular-based pyramids, either regular or irregular, have four vertices.

It has 6 edges, 4 faces, 4 vertices.

A regular triangular pyramid has equilateral triangles all four faces

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The most probable color marble which could be picked up without looking is red colored marble because there quantity is comparatively higher than others.

As per the data given, the probability that the specific colored balls are picked up is given. So depending upon the total number of balls be any number x, then the number of red balls is half of the total balls, blue balls is quarter of total balls, green balls is one sixth of total balls and yellows balls are one twelfth of total balls.

Hence, yellow balls are least in number and red colored balls are higher in number and hence the probability that a red colored ball is picked up first is 1/2*100 = 50%.

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Answer:

-59

Step-by-step explanation:

2 is the first digit right after the decimal point. The digit after it is 3, Both digits would round down, therefore meaning that the whole number would still be -59

Answer:

1111/2500

Step-by-step explanation:

Answer:

1 meter

Step-by-step explanation:

Previous spot of the eagle = 9 meters below him

Present spot of the eagle = 8 meters below him

What is the difference from earlier to now?

Diffetence in the spotting = Earlier position - present position

= 9 meters - 8 meters

= 1 meter

For the first equation with y = 3x + 2 and y = -4x + 2, the lines have the same slope, but a different y-intercept. This means that the lines are parallel and they will never intersect. Therefore, the system of equations has no solution.

For the second equation with y = 2x + 7 and y = 2x - 4, the lines have the same slope and the same y-intercept. This means that the lines are coincident and they will intersect at one point. Therefore, the system of equations has one solution.

For the third equation with y = 6x + 3 and y = -x - 4, the lines have a different slope and a different y-intercept. This means that the lines are not parallel and they will intersect at one point. Therefore, the system of equations has one solution.

For the fourth equation with y = 4x + 3 and y = 4x - 1, the lines have the same slope and the same y-intercept. This means that the lines are coincident and they will intersect at one point. Therefore, the system of equations has one solution.

For the fifth equation with y = 3x + 6 and y = 3x + 6, the lines have the same slope and the same y-intercept. This means that the lines are coincident and they will intersect at one point. Therefore, the system of equations

The inverse function of \(y = x^2 - 10x\) is f^(-1)(x) = 5 ± √\(\sqrt{x + 25}\).

To find the inverse of the function \(y = x^2 - 10x\), we need to interchange the roles of x and y and solve for the new y.

Step 1: Replace y with x and x with y:

x = \(y^2 - 10y\)

Step 2: Rearrange the equation to solve for y:

0 = \(y^2 - 10y - x\)

Step 3: To solve the quadratic equation, we can use the quadratic formula:

y = (-b ± \(\sqrt{(b^2 - 4ac)}\)) / (2a)

In our case, a = 1, b = -10, and c = -x. Substituting these values into the quadratic formula, we have:

y = (10 ±\(\sqrt{ ((-10)^2 - 4(1)(-x)))}\) / (2(1))

 = (10 ±\(\sqrt{ (100 + 4x)) }\)/ 2

 = (10 ±\(\sqrt{ (4x + 100)) }\)/ 2

 = 5 ±\(\sqrt{ (x + 25)}\)

The inverse function is given by:

f^(-1)(x) = 5 ± \(\sqrt{ (x + 25)}\)

It's important to note that the inverse function is not unique in this case, as the ± symbol represents two possible branches of the inverse. Both branches are valid and reflect the symmetrical nature of the original quadratic equation.

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The algebraic expression for half of a number is x/2.

When we are working in algebra and we want to represent "a number", we use a variable for it.

We do this because "a number" can be any real number.

For example, we can say that a number is represented by the variable x.

Now, to write half of a number, we just need to divide our variable by 2, then we will get:

x/2

That is the algebraic expression.

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The distance between your house and the subway stop is 6 units

The coordinates are given as:

The distance between both points is calculated using:

\(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

So, we have:

\(d = \sqrt{(-7 + 3)^2 + (2 - 6)^2}\)

Evaluate

d = 6 (approximated)

Hence, the distance between your house and the subway stop is 6 units

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The value of the total area of the shaded region are,

⇒ 42 units²

We have to given that;

Sides of rectangle are,

AB = 9

BC = 6

Hence, The area of rectangle is,

⇒ 9 x 6

⇒ 54 units²

And, Area of triangle is,

A = 1/2 × 4 × 6

A = 12 units²

Thus, The value of the total area of the shaded region are,

⇒ 54 - 12

⇒ 42 units²

So, The value of the total area of the shaded region are,

⇒ 42 units²

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The answer is 10.

please see the attached picture for full solution

hope it helps

Good luck on your assignment..

Answer:

\( = 10\)

Step-by-step explanation:

\( \sqrt{20} \times \sqrt{5} \\ \sqrt{2 \times 2 \times 5} \times \sqrt{5} \\ 2 \sqrt{5} \times \sqrt{5} \\ 2 \sqrt{ {5}}^{2} \\ = 10\)

hope this helps

brainliest appreciated

good luck! have a nice day!

We will investigate how to use ratios to determine the actual distance between cities as per defined scale.

We are given a scale conversion ( ratio ) at which distances are scaled down:

We will use the given scale ratio to determine the actual distance between two citites. The scale distance between Hawthorne and Doyelstown can be read.

Now utilize the scale conversion ratio to determine the actual distance:

Therefore, the distance between Hawthorne and Doylestown is:

The probability of either event E or event F occurring, when E and F are mutually exclusive, is 0.85.

If E and F are mutually exclusive events, it means that they cannot occur simultaneously. In such cases, the probability of either event E or event F occurring is the sum of their individual probabilities.

Given that P(E) = 0.34 and P(F) = 0.51, we can calculate the probability of E or F, denoted as P(E or F), as:

P(E or F) = P(E) + P(F)

Substituting the given values, we have:

P(E or F) = 0.34 + 0.51

Calculating the sum, we find:

P(E or F) = 0.85

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Answer:

∠2 and ∠5

∠6 and ∠3

Step-by-step explanation:

Vertical angles are a pair of non-adjacent angles formed by intersecting two straight lines.

Looking at the options, the answers are ∠2 and ∠5, ∠6 and ∠3

The missing values are derived from the graph as follows:

3 ) 7, 14, 21, 28, 35

4) 3, 7, 10, 14, 17

5) 1, 21, 10, 49, 19

In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.

In order to solve for the above values, the best way is to spot the function that exists in the graph which is given as:

F(y) = 3.5x

In the first table, where x = 2

y= 3.5 *2

= 7

This iteration goes on and on and is consistent for all the values.

In the second table,

Where F(y) is known, for example 10.5, then x is derived as:

10.5 = 3.5x (divide both sides by 3.5)

x = 3

This iteration goes on and on and is consistent for all the values.

In the third table, we simply swap the values back and forth using the function F(y) = 3.5x to derive all values.

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Answer:

what do you need help with

Answer:

Tiles won't be enough

Step-by-step explanation:

The perimeter of the area :

2(length + Width)

Given dimension = 6.4 by 2.7 feets

Perimeter = 2(6.4 + 2.7) = 18.2 feets

1 feet = 12 inches

Perimeter = 18.2 * 12 = 218.4 inches

1 tile = 6 inches

30 tiles = 6* 30 = 180 inches

Since the perimeter of the area is greater Than the 180, then we can conclude that the tiles won't be enough

a) A department manager receiving an allocation of costs will care about management's methodology of overhead allocation because the overhead costs allocated to their department will have a direct impact on the department's profitability and cost efficiency.

b) The allocation base is the measure used to determine how much of the overhead costs should be allocated to a particular department or product, while the allocation rate is the amount of overhead costs allocated to each unit of the allocation base

c) Budgets are an important tool for cost planning, but their effectiveness depends on how well they are developed and implemented.

a) If the allocation method used by management is not accurate or fair, it could result in the department being burdened with more costs than they actually incur, which could affect their ability to meet their targets and objectives. It is, therefore, important for department managers to ensure that the allocation of costs is done fairly and accurately.

b) The allocation base and rate are important because they determine how the overhead costs are allocated to different departments or products.

Different allocation bases and rates can result in significantly different amounts of overhead costs being allocated to different departments or products, which can impact their profitability. While all of the overhead costs eventually make their way to the income statement, the allocation of these costs can have a significant impact on the accuracy of the income statement and the ability of the organization to make informed decisions.

c) Budgets can be helpful in providing a roadmap for achieving the organization's goals and objectives, but they need to be flexible enough to adapt to changing circumstances and priorities.

The budget(s) that are most important to the organization's success will depend on the nature of the organization and its objectives. However, typically the operating budget, capital budget, and cash budget are the most important budgets for most organizations.

The government's budget process is similar to the operating budgeting process described in the chapter in that it involves the development of a budget to allocate resources and achieve goals. However, the government's budget process is more complex and involves additional considerations such as political priorities and public opinion. Additionally, the government's budget process involves a more detailed review and approval process than the operating budgeting process.

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She must deposit approximately \($826,920.01\) at the end of each quarter, and the interest earned will be approximately \($673,079.99\).

Desired accumulated amount (A) = \($1,500,000\)

Annual interest rate (r) = 8% or 0.08

Number of compounding periods per year (n) = 4 (quarterly compounding)

Number of years (t) = 10

To find the deposit amount (P), we can use the formula:

\(\[ P = \frac{A}{\left(1 + \frac{r}{n}\right)^{nt}} \]\)

Let's substitute the given values and calculate P:

\(\[ P = \frac{1,500,000}{\left(1 + \frac{0.08}{4}\right)^{4 \times 10}} \]\)

Simplifying further:

\(\[ P = \frac{1,500,000}{(1.02)^{40}} \]\)

\(\[ P \approx \frac{1,500,000}{1.818446957} \approx 826,920.01 \]\)

The deposit amount (P) is approximate \($826,920.01\).

To calculate the interest earned, we can subtract the total deposit amount from the desired accumulated amount:

\(\[ \text{Interest Earned} = A - \text{Total Deposit} = 1,500,000 - 826,920.01 \approx 673,079.99 \]\)

The interest earned is approximate \($673,079.99\).

Therefore, she must deposit approximately \($826,920.01\) at the end of each quarter to accumulate \($1,500,000\) after 10 years. The interest earned will be approximately \($673,079.99\).

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9514 1404 393

Answer:

  x° = 42°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the useful relation ...

  Cos = Adjacent/Hypotenuse

  cos(x°) = 4.0/5.4

  x° = arccos(4.0/5.4) ≈ 42.21°

The value of x is about 42.

The expected value of the amount of coins that come up heads is 2 coins.

The expected value of the amount of coins that come up heads when a penny, nickel, dime, and quarter are flipped simultaneously is given by the formula: E(X) = 1/2p + 1/2n + 1/2d + 1/2q where p, n, d, and q are the probabilities of getting heads when the penny, nickel, dime, and quarter are flipped. The probability of getting heads when a fair coin is flipped is 1/2.

Therefore, the probability of getting heads for each coin is 1/2.The expected value of the amount of coins that come up heads is: E(X) = 1/2 + 1/2 + 1/2 + 1/2= 2 coins. Therefore, the expected value of the amount of coins that come up heads is 2 coins.

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∫sin^−1(x)/4x^2 dx = -(sin^−1(x)/4x) + (1/4) arcsin(x) + C.

et u = sin^−1(x)/4 and dv = 1/x^2 dx. Then, du/dx = 1/(4√(1-x^2)) and v = -1/x.

Using integration by parts formula, we have:

∫sin^−1(x)/4x^2 dx = uv - ∫v du/dx dx

= -(sin^−1(x)/4x) + ∫1/(4x√(1-x^2)) dx

= -(sin^−1(x)/4x) + (1/4)∫(1-x^2)^(-1/2) d(1-x^2)

= -(sin^−1(x)/4x) + (1/4) arcsin(x) + C

Therefore, ∫sin^−1(x)/4x^2 dx = -(sin^−1(x)/4x) + (1/4) arcsin(x) + C.

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Answer:

ABCDEFGHIJKLMNOPQRSTUVWXYZ

Step-by-step explanation:

abcdefghijklmnopqrstuvwxyz

Answer:

Step-by-step explanation:

Points given:

Use midpoint formula to find the coordinates of B:

Substitute known values and solve for x and y:

Point B is:

Answer:

All of them are parallel

Step-by-step explanation:

This is due to the all of the 90 degree angle which would make the rest of the line a would be another 90 degree angle Which are found on every line. This would make all of the lines parallel because it is a total of 180 degrees.