select the equivalent expression.

Answer: Balu originally had 40 sweets.

Step-by-step explanation:

Let x be the number of sweets Balu originally had.

After Amal gives one third of his sweets to Balu, Balu's number of sweets becomes x + (1/3)x = (4/3)x.

After Balu gives one third of his sweets to Chandran, Chandran's number of sweets becomes 40 + (1/3)(4/3)x = 40 + (1/3)x.

After Chandran gives one third of his sweets to Amal, Amal's number of sweets becomes (2/3)x + (1/3)(40 +(1/3)x) = (2/3)x + (1/3)x + 40/3 = (5/3)x + 40/3.

Since all three of them now have the same number of sweets, we can set the number of sweets each of them has equal:

(4/3)x = (5/3)x + 40/3.

Now, we will isolate x by rearranging the equation. Subtracting (5/3)x from both sides, we get:

(4/3)x - (5/3)x = 40/3

Simplifying the left side:

-x/3 = 40/3

Dividing both sides by -1/3:

x = 40

Thus, Balu originally had 40 sweets.

Based on the 2021 federal income tax brackets, the gross pay of $49,946 puts you in the 22% tax bracket. For the fully filled tax bracket, you would owe $10,890.50 in federal taxes, and for the partially filled tax bracket, you would owe $4,994.60 in federal taxes.

Answer:

Step-by-step explanation:

m∠2 = 90° - 56° = 34°. So, m∠1 = m∠2 = 34°

here the answers

The linear equation that passes through the two given points is:

y = (-1/3)*x - 2/3

A general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If a line passes through the points (x₁, y₁) and (x₂, y₂) then the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

Here we know that the line passes through (4, -2) and (-2, 0), then the slope is:

a = (0 + 2)/(-2 - 4)= 2/-6 = -1/3

y = (-1/3)*x + b

To find the value of b, we can replace the values of any of the points in the equation, if we use (-2, 0) we will get:

0 = (-1/3)*-2 + b

0 = 2/3 + b

-2/3 = b

The linear equation is y = (-1/3)*x - 2/3

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C. "He observes, 'the older, wiser, and better people...proved to be in error...' (Saki 1)" is the passage that is explaining the data (the citation) that was used.

A passage is a piece of written or spoken text that is typically a part of a larger work or composition, such as a book, article, speech, or poem. Passages can be of varying lengths, ranging from a few sentences to several pages or more, and can be written in different styles and genres. They are usually composed to convey information, express ideas or opinions, tell a story, or evoke emotions in the reader or listener. Passages can be analyzed and interpreted for their literary or rhetorical devices, such as metaphors, similes, allusions, and rhetorical appeals. In academic settings, students are often asked to read and analyze passages as a part of their coursework.

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Answer:

Step-by-step explanation:

A because the gcf of 20 is 4 and the gcf of 4 is 4

Answer:

b

..,..............................................is my answer

Answer: A

Step-by-step explanation:

First you add up the total prices of both cars

$67,000

Next find 8.875% of that and add to total price of both cars

Answer= $72,946.25

The percent of the world's total production of bikes that is contributed by United States is 0.65%.

Production refers to the process of combining different inputs, both material and immaterial, to produce output. Ideally, this output will be a valuable good or service that adds to people's utility.

Data

Number of bikes produced by US = 815,000 bikes.

Number of bikes produced by the world population = 126 million bikes.

The percent of the world's total production of bikes that is contributed by U.S will be:

= (0.815/126) × 100

= 0.00646825396 * 100

= 0.65%.

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The time JBLM will you be the closest to Mt. Rainier will be 5.12 minutes.

A measurement of the distance between two places along a line or line segment.

The plane's flight route follows the line.

y = -125/135x = -25/27x

The direction of the perpendicular line passing across Mt. Rainier is,

y = 27/25(x -56) -40

In standard form, these two equations are,

25x +27y = 0

27x -25y = 2512

The coordinates at the closest approach are the answers to these two equations:

(x, y) = (33912/677, 31400/677)

The Pythagorean theorem (distance formula) states that the distance d from the origin to this point is as follows:-

d = 1256√(2/677) km

The airplane's speed can be used to convert this distance to time:

1256√(2/677) X 60/800 =  94.2√(2/677) ≈ 5.120019 mins

So, 5.12 minutes after leaving JBLM, Mt. Rainier will be the nearest.

The attached graph shows the geometry of the problem.

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The circumference of the circle is 110 m.

Let us assume that the wire has been cut into two equal halves thus the radius of the circle would be 35 m/2 = 17.5 m

Then;

C = 2πr

C = circumference

r = radius

"pi" is a mathematical constant approximately equal to 3.14 and "r" is the radius of the circle. If the diameter of the circle is known, the radius can be calculated by dividing the diameter by 2.

C = 2 * 3.142 * 17.5

C = 110 m as we can see here

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The solution of x in the rhombus is 3

From the question, we have the following parameters that can be used in our computation:

The rhombus

Also, we have

LN = 14

AN = x + 4

Using the above as a guide, we have the following equation:

LN = 2 * AN

substitute the known values in the above equation, so, we have the following representation

2 * (x + 4) = 14

Evaluate the expression

x + 4 = 7

Subtract 4 from both sides

so, we have the following representation

x = 3

Hence, the solution is 3

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Answer:

[tex]10\sqrt{7}+8\sqrt{2}[/tex]

Step-by-step explanation:

Lets simplify.

[tex]3\sqrt{28}+4\sqrt{7} +2\sqrt{32}[/tex]

Rewrite [tex]28[/tex] as [tex]2^2*7[/tex]

[tex]3\sqrt{2^2*7}+4\sqrt{7} +2\sqrt{32}[/tex]

Pull terms out from under the radical.

[tex]3\left(2\sqrt{7} \right)+4\sqrt{7} +2\sqrt{32}[/tex]

[tex]6\sqrt{7} \right)+4\sqrt{7} +2\sqrt{32}[/tex]

Add [tex]6\sqrt{7}[/tex] and [tex]4\sqrt{7}[/tex].

[tex]10\sqrt{7} +2\sqrt{32}[/tex]

Rewrite [tex]32[/tex] as [tex]4^2*2[/tex].

[tex]10\sqrt{7} +2\sqrt{4^2*2}[/tex]

Pull terms out from under the radical.

[tex]10\sqrt{7}+2\left(4\sqrt{2}\right)[/tex]

[tex]10\sqrt{7}+8\sqrt{2}[/tex]

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Answer: it’s C. My dear <3

Step-by-step explanation: hope this helps (btw I’m just being nice so don’t ask)

If a TCP receiver advertises a window size of 6,353 bytes, and with a link transmission rate 10 Mbps an end-to-end propagation delay of 14.4 ms, then the utilization is 0.4%.

What is Round trip time?

The round-trip time (RTT) is the time it takes from when a browser submits a request to when it receives a response from a server, measured in milliseconds.

The time it takes for a segment to be transmitted over the link is:

time per segment = 1,126 bytes / 10 Mbps = 0.00009008 seconds

The end-to-end propagation delay is 14.4 ms, or 0.0144 seconds.

The time it takes for an ACK to be sent back from the receiver is the propagation delay plus the time it takes for the ACK segment to be transmitted over the link:

time for ack = 0.0144 seconds + (1 segment / 10 Mbps) = 0.014508 seconds

The time it takes for the sender to receive an ACK after sending a segment is the time it takes for the segment to be transmitted, plus the time it takes for the ACK to be sent back:

round trip time = time per segment + time for ack = 0.00009008 + 0.014508 = 0.0145

The number of segments that can be in flight at any given time is the window size divided by the segment size:

segments in flight = 6,353 bytes / 1,126 bytes = 5.645 segments

We can now calculate the maximum sending rate of the sender by dividing the number of segments in flight by the round-trip time:

max sending rate = segments in flight / round trip time = 387.165 segments per second

The utilization of the link is the sending rate divided by the link rate, multiplied by 100 to get a percentage:

utilization = (max sending rate / 10 Mbps) * 100 = 0.00387165 * 100 = 0.387165%

Rounding to one decimal place, the utilization is 0.4%.

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The volume of the prism with a trapezoidal base is 312 m³

An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.

The volume of the prism is the product of the base area and the height. It is given by:

Volume = area of base * height

The prism shown in the diagram is a trapezoid prism, hence:

Area of base = (1/2)(5 + 8)(4) = 26 m²

Volume = area of base * height

Volume of prism = 26 m² * 12 m = 312 m³

The volume of the prism is 312 m³

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Based upon this information, (2) I and III only statements can be proven.

From the given information, we can prove that statement II is true, i.e., BD bisects ABC.

Proof:

Since BD is the perpendicular bisector of ADC, we have AD = CD and ∠ADB = ∠CDB = 90°. Thus, triangles ABD and CBD are congruent (by the hypotenuse-leg congruence criterion), which implies AB = BC and ∠ABD = ∠CBD. Therefore, BD bisects ∠ABC.

However, we cannot prove that statements I or III are true based solely on the given information.

Statement I (BD is a median) would be true if we had additional information that AD = DB = DC, but this is not necessarily true based on the given information.

Statement III (△ABC is isosceles) would be true if we had additional information that AB = BC, but this is not necessarily true based on the given information. In fact, it is only guaranteed that AB = BC if AD = BD = DC, which is not necessarily the case.

Therefore, the correct answer is (2) I and III, only.

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Answer:

Step-by-step explanation:

No pressure. You just need to look for the number that when added to the other given number, will give the same as the sum on the other side.

For instance, The top-left question:

4+6 = x+8  (let x be the box)

x= 4+6-8

x=2.

OR, since 4 + 6 =10,

you look for a number when added to 8, that gives 10.

That number is 2.

Hope this helps :]

An example of a continuous random variable is a Normal random variable.

What is a normal random variable?

A random variable is a variable with an unknown value or a function that gives values to each of the results of an experiment. A random variable can be either discrete (having definite values) or continuous (any value in a continuous range).

Here, we have

We have to determine the example of a continuous random variable.

We concluded that the example of a continuous random variable is a normal random variable.

Hence, an example of a continuous random variable is a Normal random variable.

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When the surface area of the cell phone is converted to Cm² it would be. = 59cm²

The surface area of the cell phone screen = 5900mm²

But 10 mm = 1 cm

When squared after calculating the area,

100 mm² = 1 cm²

5900 mm² = X cm²

Make X cm² the subject of formula;

X cm² = 5900/100 = 59cm²

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By using the continuous interest formula, we get 8.54 years that the amount will take to double itself.

The continuous interest formula is used to calculate the future value of a compound interest investment. It is written as follows:

Future Value = Principal × [tex](1 + r)^{n}[/tex]

where Principal is the original investment, r denotes the yearly interest rate, and n denotes the number of compounding periods.

The continuous interest formula is used to compute the future worth of an investment given its current value, yearly interest rate, number of times the interest is compounded each year, and number of years held.

In the given question,

A = A_0[tex]e^{rt}[/tex]

2A_0 = A_0[tex]e^{rt}[/tex]

2 = [tex]e^{rt}[/tex]

ln(2) = rt

t = [tex]\frac{2}{r}[/tex]

t = [tex]\frac{2}{0.08}[/tex]

t = 8.54 years

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Answer:

Step-by-step explanation:

area of pole=75×8=600 square inch

area if sign=12×12+1/2×12×4

=144+24

=168 square inches

total area=600+168

=768 square inches

Answer:

33.6-(-6.4)=40

Step-by-step explanation:

1. 8.4×4

2. 3.2x-2

3. 33.6-(-6.4)

4. 40

the two negatives become positive

The statement that is true about the graphs is Graph A is a linear function because it has a constant rate of change

A graph is a pictorial representation of a function.

Given the graphs A and B, to determine which statement is true, we need to find the characteristics of each graph.

Comparing all the statements with the given characteristics of both graphs, we see that the statement that is true is Graph A is a linear function because it has a constant rate of change

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Answer:

J.10

Step-by-step explanation:

You just have to add the numbers:

3 + 2 + (-4) + 3 + 7 + (-1) = 10

hope u like it, bye

Answer:

Step-by-step explanation:

The required piecewise linear relations are f(x) = 4 if [0, 2), and f(x) = -2x + 8 if [2, 4).

A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).

The graph is given in the question, as shown

f(x) = 2x + 4 if [-2, 0]

This the sub-function define between the interval [-2, 0].

f(x) = 4 if [0, 2)

This the sub-function define between the interval [0, 2).

f(x) = -2x + 8 if [2, 4)

This the sub-function define between the interval [2, 4).

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