please help me with this math problem

Answer: To make "w" the subject of the formula "P+aw=b", we need to isolate "w" on one side of the equation.

First, we can subtract "P" from both sides of the equation to get:

aw = b - P

Next, we can divide both sides of the equation by "a" to get:

w = (b - P) / a

Therefore, the solution is:

w = (b - P) / a

Step-by-step explanation:

When asking the value of '9' ⇒ in another number

  ⇒ means that it asking for the name of the position of that number in

      the other number

Let's examine the name of the positions in the number:

  ⇒ look at the image attached

Based on the image:

 ⇒ 9 is the hundreds position of 2,448,901

Answer: hundreds

Hope that helps!

Answer:

Hundreds

Step-by-step explanation:

1=units

0=tens

9=hundreds

The value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

The value of angle x and angle y is calculated by applying principle of angles formed by parallel lines as follows;

The value of angle adjacent x = 102⁰

The value of angle x   is calculated as;

x = 180 - 102 ( sum of angles on a straight line)

x = 78⁰

The value of angle y is calculated as follows;

y = 115⁰ (corresponding angles are equal)

Thus, the value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

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Internal angles sum: 180(sides-2) = 180

5x = 180 - (48 + 90 + 17)

x = 25/5

x = 5

answer: 5

proof:

(90 + 48) + (5(5)+17) = 180

Answer:

x=5

Step-by-step explanation:

We know that a triangle consists of 180°. So to start, you take the two given angles and add them together. 48+90=138.

Now you subtract the 138 from the total of 180 to get the degrees of the remaining angle. 180-138=42°.

Now set the unknown angle equal to 42. (5x+17) = 42

Subtract 17from both sides to get 5x=25

Divide 5 from both sides to get x=5

Answer:

Step-by-step explanation:

To find the area of the parallelogram, we can use the formula:

A = base x height

where the base is the length of the parallelogram, and the height is the height of the parallelogram.

In this case, the length of the parallelogram is 23 feet and the height is 16 feet. So, the area of the parallelogram is:

A = 23 feet x 16 feet = 368 square feet

We also know that one gallon of paint can cover 175 square feet. To find how many gallons of paint are needed to cover the parallelogram, we can divide the area of the parallelogram by the area that one gallon of paint can cover:

Gallons of paint = Area of parallelogram / Area covered by one gallon of paint

Gallons of paint = 368 square feet / 175 square feet per gallon

Gallons of paint = 2.1 gallons (rounded to one decimal place)

Therefore, we would need approximately 2.1 gallons of paint to cover the bright blue parallelogram on the playground.

The expected amount of time until the ant returns to its starting vertex is 2.5 minutes.

Vertex in math is the point at which two lines, curves, or edges meet. In the case of a triangle, for example, the vertex is the point where all three lines meet. In higher dimensional shapes, such as a parallelogram, it is the point at which all the lines meet. Vertex can also be used to refer to the highest point of a graph, or the point of maximum or minimum value.

The expected amount of time until an ant returns to its starting vertex after traversing the edges of a tetrahedron can be calculated by applying the principle of expected value. The expected value of a random variable is the sum of the probability of each outcome multiplied by its associated value.
In this case, the ant has four possible outcomes, with each outcome being the length of time it takes to traverse the edge to an adjacent vertex. Since the ant has an equal probability of going to each vertex, each outcome has a probability of 0.25. Thus, the expected value can be calculated as:
Expected Value = (1 minute x 0.25) + (2 minutes x 0.25) + (3 minutes x 0.25) + (4 minutes x 0.25)
Expected Value = 2.5 minutes
Therefore, the expected amount of time until the ant returns to its starting vertex is 2.5 minutes.

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Complete questions as follows-
an ant starts at one vertex of a tetrahedron. each minute it walks along a random edge to an adjacent vertex. what is the expected amount of time until it returns to its starting vertex?

Answer:

c)

Step-by-step explanation:

The scientific notation of the given number is 6.11×10⁻⁴. Therefore, option E is the correct answer.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.

The given decimal number is 0.000611.

0.000611 in scientific notation, we get

6.11×10⁻⁴

Therefore, option E is the correct answer.

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Answer:

To find the value of "a" when you know the perimeter of a shape, you need to know the specific shape you're referring to. Please provide more information about the shape in question, such as whether it's a rectangle, triangle, or another geometric figure. Additionally, if you have any specific measurements or relationships between the sides of the shape, please provide them as well.

Answer:

2^2* 5^2.

Step-by-step explanation:

2)100

2)  50

5) 25

      5

100 = 2*2*5*5.

= 2^2* 5^2.

No. The reported return rate appears lower than expected.

To determine whether the reported rate of return is reasonable or not, we can calculate the expected rate of return based on the investment amount and the ending value of the account.

First, we need to calculate the total number of quarters that have elapsed between the initial investment and the current quarter. Let's assume that the investment has been held for n quarters.

Then, we can use the following formula to calculate the expected rate of return:

Expected rate of return = (Ending value / Initial investment) ^ (1/n) - 1

Plugging in the given values, we get:

n = 1 (since we are only given information for a single quarter)

Initial investment = 26,245

Ending value = 26,292

Expected rate of return = (26,292 / 26,245) ^ (1/1) - 1 = 0.18%

Comparing the expected rate of return of 0.18% with the reported rate of return of -0.02%, we can see that they are quite different. However, it's important to note that a single quarter's rate of return may not be indicative of the overall performance of the investment.

Therefore, while the reported rate of return seems lower than expected, we would need to consider the performance over a longer period of time to make a more informed assessment of the investment's performance.

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Answer:

Area= 46,000

Permiter= 4,600

Step-by-step explanation:

The formula to find the area of a rectangle is Length(L) times Width(W).

So 2,000(L) times 23 (W)= 46,000.

The formula for perimeter is 2(l+w).

So you're going to go 2,000 + 23 = 2,300 times 2 which equals 4,600.

Hope that helped, have a great day!!

Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.

The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.

Using the cosine ratio, we have:

Reference angle (∅) = 72 degrees

Hypotenuse length = 40 m

Adjacent length = distance between Dimitri and Sarah = x

Plug in the values:

cos 72 = x/40

x = cos 72 * 40

x ≈ 12.4 [to one decimal place]

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Answer:

12 flowers

Explanation:

First, we need to find the perimeter of the square fish pond. The perimeter of a square is 4 times its side, so in the perimeter of the square fish pond will be

P = 4 x 1 yard = 4 yards

Now, we need to convert yards to feet. Taking into account that 1 yard is equal to 3 feet, we get

4 yards x 3 = 12 feet

So, the perimeter of the square fish pond is 12 feet

If each flower should be planted 1 foot apart, the number of flowers can be calculated as the perimeter divided by 1 foot, so

12feet / 1 foot = 12 flowers

Then, Paula should buy 12 flowers.

The answer of the given question based on Statistics to find minimum monthly premium payments is option D) Plan 2, since it has lower monthly premium payments.

Probability is  measure of  likelihood or chance of an event occurring. It is expressed as  number between 0 and 1, where 0 indicates an impossible event and 1 indicates  certain event

Assuming that the coverage details are similar, we can compare the monthly premium payments for each plan based on the different categories of coverage:

Individual: Plan 1 has a monthly premium of $87.32, while Plan 2 has a monthly premium of $11.77. Therefore, Plan 2 has the lower monthly premium for this category of coverage.

Individual+Spouse: Plan 2 has a monthly premium of $735.00, while Plan 1 has a monthly premium of $890.00. Therefore, Plan 2 has the lower monthly premium for this category of coverage.

Individual+Child: Plan 2 has a monthly premium of $606.00, while Plan 1 has a monthly premium of $750.00. Therefore, Plan 2 has the lower monthly premium for this category of coverage.

Individual+Family: Plan 2 has a monthly premium of $1,400.00, while Plan 1 has a monthly premium of $1,600.00. Therefore, Plan 2 has the lower monthly premium for this category of coverage.

Based on these comparisons, we can see that Plan 2 has a lower monthly premium for all categories of coverage. Therefore, the answer is option D: Plan 2, since it has lower monthly premium payments.

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Answer:

100°

Step-by-step explanation:

tThe sum of all arc measures that make up that circle is 360 degrees.

QS + RQ + RS = 360

QS = 360 - 120 - 140 = 100

An arc angle is the degree measurement of that angle inside the circle, opposite the arc

m∠R = arc QS = 100°

Answer:

∠ R = 50°

Step-by-step explanation:

the inscribed angle R is half the measure of its intercepted arc QS

the sum of the arcs on a circle is 360° , that is

RQ + QS + SR = 360°

120° + QS + 140° = 360°

QS + 260° = 360° ( subtract 260° from both sides )

QS = 100°

Then

∠ R = \(\frac{1}{2}\) × 100° = 50°

Answer:

Step-by-step explanation:

a1 = 3;

a2 = 2(a1 - 2 ) = 2(3-2) = 2

a2 = 2

a3 = 2(a2-2) = 2(2-2) = 0

a3=0

a4 = 2(a3-2) = 2(0-2) = -4

a4 = -4

a5 = 2(a4 - 2) = 2(-4-2) = -12

a5 = -12

In order to achieve the shortest distance from starting vertex (A) to F on a network, utilize Dijkstra's algorithm following these steps:

Initiate every vertex with a tentative distance value: assign zero to the starting point and infinity to other vertices.

Establish the initiating vertex as the current vertex.

Analyze all neighboring vertices of the current vertex and determine their respective tentative path length via current vertex. Proceed to compare it with its already assigned value; upgrade such distance if shorter than before.

Subsequent to analyzing adjacent points of the present node, designate it as 'visited'. Futuristic reference will disregard this chosen and visited vertex altogether.

Examine unexplored vertices marked as having the most reduced tentative distances, declare them 'current' while formulating new calculations for other contenders until pertinent conclusion is reached.

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Answer:

11 can't be divided with negative number

so it's answer will be zero

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Answer:

2 more sides.

Step-by-step explanation:

Decagon = 10 sides

Octagon = 8 sides

The prefix Octa means 8 sides

example : Octa is in Octapus; and octopus have 8 legs or tentacles.

Answer:

2 sides.

Step-by-step explanation:

Correct me if I'm wrong but a decogon has 10 sides and an ogtagon has 8 sides so it might be 2.

Answer:

Tina will be able to sell 24 beignets

The coordinates of p which divides the line AB in ratio 3:1 is (3.75, 3.5).

The section formula provides the coordinates of a point that, either internally or externally, divides the line connecting two locations in a ratio.

P ( x , y ) = ( c ⋅ m + a ⋅ n m + n , d ⋅ m + b ⋅ n m + n ) .

Ratio of line = 3:2

m and n represents the ratios 3:2

let the coordinates of p(x, y).

using Section formula

= [ (3(4) + 1(3) / (3+1), 3(3) + 1(5) / 3+ 1]

= (15/ 4, 14/4)

= (3.75, 3.5)

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Answer:

Answer:

\(n' = 2212\) (larger)

Step-by-step explanation:

From the question we are told that

Initial sample size n=1100

Sample range 5

Sample Proportion\(\hat P= x/n=>775/1100=>0.704\)

99% confidence

Margin for error \(E=\pm2 \%=>0.02\)

Generally at confidence level  99%

Level of significance \(\alpha =1-0.99=>0.01\)

\(\alpha /2 =\frac{0.01}{2} =0.005\)

Therefore

\(Z_\alpha_ /_2=Z_0_._0_0_5=2.576\)

\(Z_\alpha_ /_2=2.576\)

Generally sample size is mathematically given by

\(n' = (Z_\alpha_/_2 / E )^2 * \hat P * (1 - \hat P )\)

\(n' = (2.576) / 0.025)^2 * 0.704 * (1 - 0.704)\)

\(n' = 2212.463274\)

\(n' = 2212\)

Therefore the new sample will be larger

The question provides the relationship as shown below:

If we solve both sides individually, we have the left-hand side to give

and the right-hand side to give

Since both sides give the same result, we can attempt to manipulate the left-hand side of the equation with a common property we are familiar with: The Distributive Property.

The Distributive Property is written out as shown below:

Applying this rule to the left-hand side, we get:

This is the same expression present on the right-hand side of the equation.

Therefore, the property illustrated is the DISTRIBUTIVE PROPERTY.

The direct labor cost included in the Preble Company's flexible budget for March is $819,000.

To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.

Given:

Actual production and sales =n26,600 units

Actual direct labor rate = $13.00 per hour

Actual direct labor hours worked = 63,000 hours

Direct labor cost = Actual direct labor rate × Actual direct labor hours worked

Direct labor cost = $13.00/hour × 63,000 hours

Direct labor cost = $819,000

Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.

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