Is x5+5x a like term

Answer: Hello, there!  Your Answer is Below^^

7.O2 Would be The Correct Answer.

Step-by-step explanation:

So I Subtracted 20 - 12.98 And Got the Answer $ 7.02

To Add Or subtract Decimals Here's what you can do to find your Answer

Line up the numbers vertically so that the decimal points all lie on a vertical line.  

Add extra zeros to the right of the number so that each number has the same number of digits to the right of the decimal place. Step 3: Subtract the numbers as you would whole numbers.

Hope this Helps!!

Have a great day!!!

Answer:

644 cm³

Step-by-step explanation:

Surface area of the composite figure = (surface area of the upper cuboid - base area of upper cuboid) + (surface area of the lower cuboid - base area of the upper cuboid)

✔️Surface area of upper cuboid = 2(LW + LH + WH)

L = 3

W = 3

H = 8

Surface area of upper cuboid = 2(3*3 + 3*8 + 3*8) = 2(9 + 24 + 24) = 114 cm²

✔️Surface area of Surface area of lower cuboid = 2(LW + LH + WH)

L = 12

W = 10

H = 7

Surface area of lower cuboid = 2(12*10 + 12*7 + 10*7) = 2(120 + 84 + 70) = 548 cm²

✔️Base area of upper cuboid = L*W

L = 3

W = 3

Base area = 3*3 = 9 cm²

✅Surface area of the composite figure = (114 - 9) + (548 - 9) = 105 + 539 = 644 cm³

Answer:

Step-by-step explanation:

D is correct

Answer: D

Step-by-step explanation:

Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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Answer:

a)

In this question, for each call, there are only two possible outcomes, either it is successful, or it is not, so binary outcomes. For each call, the probability of a success or failure is the same, which means that the trials are independent, having the same value of p. And the number of trials, which is 50, is fixed. This means that this is a binomial distribution.

b) The mean is 1 and the standard deviation is 0.9899.

c) \(P(X \geq 48) = 0\)

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The expected value of the binomial distribution is:

\(E(X) = np\)

The standard deviation of the binomial distribution is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

From past experience, she is successful on 2% of her calls.

This means that \(p = 0.02\)

50 calls.

This means that \(n = 50\)

a. This is binomial distribution. Explain using the BINS method why this is so.

BINS: Binary outcomes, Independent Trials, n is fixed, and same value of p for all trials.

In this question, for each call, there are only two possible outcomes, either it is successful, or it is not, so binary outcomes. For each call, the probability of a success or failure is the same, which means that the trials are independent, having the same value of p. And the number of trials, which is 50, is fixed. This means that this is a binomial distribution.

b. Find the mean and standard deviation of X.

The mean is:

\(E(X) = np = 50*0.02 = 1\)

The standard deviation is:

\(\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.02*0.98} = 0.9899\)

The mean is 1 and the standard deviation is 0.9899.

c. Find the probablity of P(X>or equal to 48)

This is:

\(P(X \geq 48) = P(X = 48) + P(X = 49) + P(X = 50)\)

In which

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 48) = C_{50,48}.(0.02)^{48}.(0.98)^{2} \approx 0\)

\(P(X = 49) = C_{50,49}.(0.02)^{49}.(0.98)^{1} \approx 0\)

\(P(X = 50) = C_{50,50}.(0.02)^{50}.(0.98)^{0} \approx 0\)

So

\(P(X \geq 48) = 0\)

Answer:

  x = 9 inches

Step-by-step explanation:

You want the value of x in the similar triangles shown.

Corresponding sides are proportional. This means the ratio of the horizontal side of the triangle to the vertical side is the same for both.

  6/4 = (6+x)/10

  15 = 6 +x . . . . . . . . multiply by 10

  9 = x . . . . . . . . . subtract 6

The measure of x is 9 inches.

__

Additional comment

You could also write the proportion ...

  6/4 = x/(10 -4)

  x = 36/4 = 9 . . . . . . . multiply by 6

You can see this if you draw a horizontal line through the figure at the top of the side marked 4 in.

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Answer:

C

Step-by-step explanation:

If you were to put the number of turkey out in order from least to greatest, the median is 12. Doing the same thing to the ham, the median is 9.

Subtracting Turkey (12) from Ham (9) your answer is C, or 3.

Define random error: B) Random error is an error that tends to be either too high or too low.

Random error, is an error caused by factors that cannot be predicted, you could even say that these factors seem temporary.

So, it is very difficult to predict, because it is still random. One might even say, this random error occurred, while the test was being conducted. Even worse, random errors do not have to occur in the first test, it could be in the second or third test and so on.

Random error is a very small and dissimilar effect in each test implementation, for example the effect of fluctuations in the voltage, temperature or humidity conditions of the accommodation and test environment.

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The total distance of the obstacle course can be calculated by finding the distance between each pair of consecutive points and adding them up. The distance between two points (x1, y1) and (x2, y2) can be calculated using the formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Using this formula, we can calculate the distances between each pair of consecutive points as follows:

Start to Tire Race: distance = sqrt((-40 - (-40))^2 + (-30 - (-10))^2) = 20 yards

Tire Race to Rope Climb: distance = sqrt((40 - (-40))^2 + (-30 - (-30))^2) = 80 yards

Rope Climb to Monkey Bars: distance = sqrt((40 - 40)^2 + (20 - (-30))^2) = 50 yards

Monkey Bars to Finish: distance = sqrt((10 - 40)^2 + (20 - 20)^2) = 30 yards

Adding up all these distances, we get a total distance of 20 + 80 + 50 + 30 = 180 yards for the obstacle course.

If we restrict the domain of the function to the portion of the graph with a positive slope, the domain of the inverse function will be the range of the original function for values of x greater than 4, and its range will be all real numbers greater than or equal to 4.

The given function f(x) = |x – 4| + 6 is a piecewise function that contains an absolute value. The absolute value function has a V-shaped graph, and the slope of the graph changes at the point where the absolute value function changes sign. In this case, that point is x=4.

If we restrict the domain of f(x) to the portion of the graph with a positive slope, we are essentially considering the piece of the graph to the right of x=4. This means that x is greater than 4, or x>4.

The domain of the inverse function, f⁻¹(x), will be the range of the original function f(x) for values of x greater than 4. This is because the inverse function reflects the original function over the line y=x. So, if we restrict the domain of f(x) to values greater than 4, the reflected section of the graph will be the range of f⁻¹(x).

The range of f(x) is all real numbers greater than or equal to 6 because the absolute value function always produces a positive or zero value and when x is greater than or equal to 4, we add 6 to that value. The range of f⁻¹(x) will be all real numbers greater than or equal to 4, as this is the domain of the reflected section of the graph.

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Therefore, the measure of angle B in the given triangle is approximately 59°.

A triangle is a polygon with three sides and three angles. It is a two-dimensional geometric shape that can be formed by connecting three points that are not collinear (lying on the same straight line). The three points of a triangle are called its vertices, and the line segments connecting them are its sides. The sides of a triangle can have different lengths, and the angles between them can have different measures. In a triangle, the sum of the interior angles is always 180°. This is known as the angle sum property of triangles.

Here,

To solve for the measure of angle B in the given triangle, we can use the inverse tangent function, which is commonly denoted as tan⁻¹ or arctan. Specifically, we can use the following formula:

tan(B) = opposite/adjacent

where B is the angle we want to find, and opposite and adjacent are the lengths of the sides of the triangle that form the angle B.

In this case, we know that side a is opposite to angle B, and side b is adjacent to angle B. So we have:

tan(B) = a/b = 500/300 = 5/3

To find the value of angle B, we can take the inverse tangent of both sides of the equation, using a calculator or a table of trigonometric functions. We get:

B = tan⁻¹(5/3) ≈ 59°(rounded to the nearest degree)

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Answer:

height = 5 cm

Step-by-step explanation:

a cube has congruent sides (s)

the volume (V) of a cube is calculated as

V = s³

given V = 125 , then

s³ = 125 ( take cube root of both sides )

\(\sqrt[3]{s^3}\) = \(\sqrt[3]{125}\) = \(\sqrt[3]{5^3}\)

s = 5

then height = 5 cm

Answer: 3%

Step-by-step explanation:

first roll 1 out of 6 chance or 16%

second roll is also 1 out of 6 chance or 16%

Mulitple .16 by .16 to get .0256 rounded to whole percentage 3%

Answer: The answer to your question is C. Brainliest?

Step-by-step explanation:

For the first square, we can multiply both the numerator and denominator by 5 to get an equivalent fraction with a denominator of 60:

2/12 = (2 x 5) / (12 x 5) = 10/60

For the second square, we can multiply both the numerator and denominator by 4 to get an equivalent fraction with a denominator of 60:

2/15 = (2 x 4) / (15 x 4) = 8/60

Now, we can add the two fractions:

10/60 + 8/60 = 18/60

Simplifying this fraction by dividing both numerator and denominator by 6, we get:

18/60 = 3/10

Therefore, the total shaded area in the diagram is 3/10 or 0.3 in decimal form.

The answer is C. 0.3.

Answer: 36.9

Step-by-step explanation:

Answer:

The formula for slope is sometimes referred to as "rise over run", because the fraction onsists of the "rise" (being the change in y, going up or down) divided by the "run" (being the change in x, going from left to the right).

Step-by-step explanation:

Answer:

Good sir/madam, in a fraction, it is always rise over run.

Answer:

50*32=16.00

Step-by-step explanation:

Answer:

option (d) is correct.

Step-by-step explanation:

Given the table

x       -3       0       3

y       -6       0       6

An ordered pair (x, y) is a composition of the x-coordinate and y-coordinate.

For example, the ordered pair (1, 2) is a composition of the x-coordinate i.e. x = 1 and y-coordinate i.e. y = 2.

The relation can be determined by converting all the points in the table via the ordered pairs and combining all of them such as ordered pairs:

{(-3, -6), (0, 0), (3, 6)}

Therefore, option (d) is correct.

Problem 13

The domain is the set of allowed x inputs. Locate the left-most point. From there, draw a vertical line until you reach the x axis. You should reach x = -3. This is the smallest x value in the domain, and it is included due to the closed circle here. We cannot repeat this for the right-most point because there is no right-most point. The arrow shows the curve goes on forever to the right. So infinity is the largest x value.

In short, x is between -3 and infinity and we write it like so: \(-3 \le x < \infty\)

You could write it also as \(-3 \le x\) or \(x \ge -3\), but the first notation mentioned with infinity seems to be the most descriptive in my opinion. That first notation also can be readily converted to the interval notation \([-3, \infty)\). The square bracket says "include -3" while the curved parenthesis says we exclude infinity. We can never reach infinity, so there's no way to include it. It's not a number. It's a concept.

As for the range, we will do the same idea as before. This time we'll look to the y axis. The highest we can go is y = 3 and we can't actually reach this value due to the open hole here. There is no smallest y value because of the arrow on the curve pointing downward forever.

Therefore, the range is the set of y values between negative infinity and 3, excluding both endpoints. We would say \(-\infty < y < 3\)

Now to the question whether this is a function or not. We can use the vertical line test to check. If it is possible to draw a single vertical line through more than one point on the curve, then we do not have a function. We can see that such a thing would happen for this curve. For instance, draw a vertical line through x = 0 (aka the y axis itself) and we see that two points are on the curve at the same time here. The input x = 0 leads to more than one output. This is one example of infinitely many to see why we do not have a function.

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Problem 14

The inputs x span from x = -4 to x = 3, excluding both endpoints due to the open holes. They can be thought of as potholes on the road you don't want to drive on (simply because that portion of the road doesn't even exist).

Therefore, the domain is \(-4 < x < 3\)

The range is \(-3 < y \le 2\) because the lowest y can get is y = -3 and the highest it can get is y = 2. However, we exclude y = -3 itself because of the open hole. We include y = 2.

In contrast to problem 13, we have a function this time. It is impossible to draw a single straight vertical line through more than one point on this V shape curve. This graph passes the vertical line test.

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===========================================================

Problem 15

The left-most point occurs when x = -5 and the right-most point is when x = 4. We include both endpoints since there are no open holes here. Every bit of road is defined. The domain is \(-5 \le x \le 4\)

Locate any of the many lowest valley points. Draw a horizontal line until you reach the y axis. You should reach y = -3. Repeat for one of the highest points and you'll get to y = 3. The range is \(-3 \le y \le 3\)

Like problem 14, this graph passes the vertical line test. Therefore, we have a function. Any x input, in the domain mentioned, produces exactly one and only one y output. The key here is "in the domain mentioned". We cannot plug in x values outside this domain.

---------------------------

===========================================================

Problem 16

There's not much different from something like problem 14. The domain here is \(0 < x < 3\) and the range is \(2 < y < 4\)

We have a function because this graph passes the vertical line test.

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===========================================================

Problem 17

Same idea as before. The left-most point occurs when x = 0 and the right-most point is when x = 6. Therefore \(0 \le x \le 6\) is our domain here.

The highest point seems to occur at y = 18 based on what the graph says. The lowest point is perhaps when y = -9. These two y values are estimations. So it's possible the range is \(-9 \le y \le 18\)

We have another function here because this curve passes the vertical line test. Only problems 12 and 13 were a non-function. Everything else is a function.

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Answer:

b.

$66.25

Step-by-step explanation:

just did the test

Answer:

m∠B=54°

Step-by-step explanation:

use the fact that the sum of angles in a triangle is 180°

2x+7+4x-10+7x-25 =180

combine like terms

13x -28 =180

13x = 180+28

x= 208/13= 16

∠B = 4x-10 = 4*16 -10 = 64-10= 54°

Explanatory Answer:

To answer this question, we need to know the distances involved in running around all 4 bases on a baseball field and running a 100-yard dash.

The distance between each base on a baseball field is 90 feet, or approximately 27.4 meters. Running around all 4 bases involves a total distance of 360 feet, or approximately 109.7 meters.

A 100-yard dash is equivalent to running 300 feet, or approximately 91.4 meters.

Therefore, running around all 4 bases on a baseball field involves a greater distance than running a 100-yard dash. The difference in distance is:

360 feet - 300 feet = 60 feet

or

109.7 meters - 91.4 meters = 18.3 meters

So running around all 4 bases on a baseball field involves 60 feet or 18.3 meters more distance than running a 100-yard dash.

Answer:

no puedo alludar te perdón

1. The volume of the black bag is 1728 cubic inches. 2. The volume of the blue bag is 2700 cubic inches. 3. The black bag will fit in the Check Box. 4. The bigger suitcase is 27 times larger than the smaller suitcase.

Volume, which is commonly expressed in cubic units, is the amount of space occupied by a three-dimensional object. By multiplying an object's length, breadth, and height, as well as other formulas depending on the shape of the object, one can get the volume of the thing. Volume is a key concept in many practical applications, including calculating container capacity, constructing structures, and estimating the amount of material required for a construction project. Volume is utilised in many branches of mathematics, science, and engineering.

For the given dimensions of the bags we have:

1. The volume of the black bag is:

18 x 12 x 8 = 1728 cubic inches

2. The volume of the blue bag is:

18 x 15 x 10 = 2700 cubic inches

3. The black bag will definitely fit in the Check Box because its volume of 1728 cubic inches is less than the volume of the Check Box, which is 2772 cubic inches.

4. The ratio of bigger suitcase to smaller suitcase is:

75 x 20 x 18 = 27000 cubic inches

25 x 8 x 9 = 1800 cubic inches

27000 / 1800 = 27

The bigger suitcase is 27 times larger than the smaller suitcase.

5. Now, if the watermelons is about 10 inches long and 9 inches wide, then its height would be:

720 = 10 x 9 x H

720 = 90H

H = 8 inches

The maximum amount of watermelons that can fit are:

27000 / 720 = 37.5 watermelons = 37 watermelons.

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Answer:

Let x be the distance traveled by you to the north and y be the distance traveled by your friend to the west. Let d be the distance between you and your friend at time t. Then, we have:

d^2 = x^2 + y^2

Taking the derivative of both sides with respect to time, we get:

2d (dd/dt) = 2x(dx/dt) + 2y(dy/dt)

Simplifying this expression, we get:

dd/dt = (x(dx/dt) + y(dy/dt)) / d

Since you are driving north at a constant speed v and your friend is driving west at a constant speed w, we have:

dx/dt = v and dy/dt = -w

Substituting these values and simplifying, we get:

dd/dt = (v^2 + w^2)^0.5

Therefore, the speed of separation between you and your friend at time t is the square root of the sum of the squares of your speeds.

To find the second derivative of the distance between you and your friend, we take the derivative of dd/dt with respect to time:

d^2d/dt^2 = (v dv/dt + w dw/dt) / (v^2 + w^2)^0.5

Since v and w are constant, their derivatives with respect to time are zero, so the second derivative of the distance between you and your friend is zero.

Suppose you wait for an hour (i.e., t = 1 hour) before driving off to the north. Then, at time t > 1 hour, the distance between you and your friend is given by:

d = (vt)^2 + ((t-1)w)^2)^0.5

Taking the derivative of both sides with respect to time, we get:

dd/dt = 2v^2t / (2((vt)^2 + ((t-1)w)^2)^0.5)

Simplifying this expression, we get:

dd/dt = v / ((v^2 + ((t-1)w)^2)^0.5)

Therefore, the speed of separation between you and your friend at time t (greater than one hour) is given by v divided by the square root of the sum of the squares of your speed and your friend's speed.

The second derivative of the distance between you and your friend is given by:

d^2d/dt^2 = -vw(t-1) / ((v^2 + ((t-1)w)^2)^1.5)

Answer:

they would score 180 goles

Step-by-step explanation:

Using the Fundamental Counting Theorem, there are 240 ways to choose general education courses from these 4 areas.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

Considering the number of options for each course, the parameters are given as follows:

\(n_1 = 5, n_2 = 4, n_3 = 4, n_4 = 3\).

Hence the number of ways is given by:

N = 5 x 4 x 4 x 3 = 240.

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Answer:

\(Expression= \frac{2x}{3y}\)

Step-by-step explanation:

Required

Determine the quotient of 2x and 3y

Quotient means division.

Take for instance; quotient of 1 and 2 is \(\frac{1}{2}\) and so on.

So, the given statement can then be interpreted to mean 2x divided by 3x

Using the above analysis, we have the following representations.

\(Expression= \frac{2x}{3y}\)

Two factors that need to be controlled to keep this test fair are the temperature and the sample volume.

The control variables are those variables that should be kept constant in order to avoid interfering with the free flow of the experiment.

For the provided test, it is important that the temperature of the environment where the test sample is kept is controlled throughout the duration of the experiment so that some results are not affected by this. Also, the sample volume should be controlled for fair outcomes.

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Answer:

(0, -6) , (6, 0)

Step-by-step explanation:

it could be (0, -6) or (6,0)