Simplify the Algerbraic expression ?

5y² + 4p + 4y² - p​

Answer:

1, 2, 3, 6

Step-by-step explanation:

I don't really know how to explain this but if the only change between the two triangles is that it was reflected, then there was no change of any of the angles or side lengths, you just have to make sure you match up the rights angles and the right sides.

Answer:

Hi how are you doing today Jasmine

Therefore, according to the squeeze theorem, the limit of x^2 cos(1/x^2) as x approaches 0 is also 0: lim(x→0) x^2 cos(1/x^2) = 0.

To prove that lim(x→0) x^2 cos(1/x^2) = 0, we can use the squeeze theorem.

First, we establish the following inequalities:

-1 ≤ cos(1/x^2) ≤ 1

Since -1 ≤ cos(1/x^2) ≤ 1 for all values of x, we can multiply each side of the inequality by x^2 to obtain:

-x^2 ≤ x^2 cos(1/x^2) ≤ x^2

Now, we need to evaluate the limits of the lower and upper bounds as x approaches 0:

lim(x→0) -x^2 = 0

lim(x→0) x^2 = 0

Since both lower and upper bounds approach 0 as x approaches 0, we can conclude that the function x^2 cos(1/x^2) is "squeezed" between these two functions.

Thus, the statement is proven.

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Answer:

mode = 1

Step-by-step explanation:

the mode is the value that occurs most often in the data set.

1 occurs 3 times and is therefore the mode

Answer:

Hello

Step-by-step explanation:

by what i understood the awnser should be c

Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators.


Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators. These variables help measure and track progress towards a goal by providing a quantitative or qualitative measure of how far the target is from the desired level of achievement.

Performance metrics can be represented in various forms, such as distance covered, percentage completed, points earned, or even subjective evaluations. For example, in a fitness program, a performance metric could be the number of miles run or the number of push-ups completed.

These metrics enable individuals or organizations to assess their progress and make necessary adjustments to reach their desired outcomes.

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The area of the lake on the map scale of  1:200000 is found to be 0.496 km²

To find out the size of the lake, we have to find the area of the map and then we will use the scaling.

We know that the scale of the map is 1:200000. This means that 1 centimeter on the map represents 200,000 centimeters on the ground. Now, converting the values. So, the area of the lake on the ground is,

(12.4cm²/10,000,000)(200,000cm/1cm)² = 0.496 km²

Therefore, the area of the lake is 0.496 square kilometers (rounded to three decimal places).

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Answer:

% increase will be: 16.28%

Step-by-step explanation:

You plant a tree that is 36 inches tall.

After one year, the tee is 43 inches tall.

Therefore, the percent of the increase will be:

% increase = 100% × (final - initial)/ initial

                  = 100% × (43 - 36)/36

                  =  100% × 7/36

                 = 100% × 0.16

                 = 16.28%

Thus, % increase will be: 16.28%

Answer:

abcd123450000???

Step-by-step explanation:

No, molar mass is a constant and does not depend on pressure or temperature.

Molar mass is a physical property of a substance and is the mass of one mole of a given substance. It is a constant value that represents the amount of grams of a substance that contains 022 x 1023 atoms or molecules. Since molar mass is a constant, it does not depend on pressure or temperature. Pressure and temperature can affect the physical and chemical properties of a substance, but they do not have an effect on the molar mass. The molar mass of a substance can be useful in determining molecular and empirical formulas, as well as calculating densities and molar concentrations.

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Answer:

but what to do in do I have to find the area of the particular Region or a length of that

The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.

In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.

CV = (Standard Deviation / Mean) * 100

CV = (5.2 / 340) * 100

CV ≈ 1.53%

Therefore, the correct answer is option B: 1.53%.

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No, the flag pole does not form a 90° angle with the ground.

We can use the Pythagorean theorem to find the length of the flag pole, which states that in a right triangle, the sum of the squares of the two shorter sides equals the square of the longest side (the hypotenuse).

Let x be the length of the flag pole. Then, we have:

x² = (20 - x)² + 28.9²

Expanding and solving for x, we get x = 30.8.

Therefore, the length of the flag pole is 30.8 feet, which is greater than the height of 21 feet. This means that the angle between the flag pole and the ground is not 90°, but rather less than 90°.

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Nothing that we can say regarding an we are unsure of whether the terms of an are rising or falling, a passes the Comparison Test and sequence, Since bn, an also converges.

A collection of numbers, or "terms," is referred to as a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence.

We are unable to comment on an.

This is due to the fact that bn converges, causing a to exceed bn, and as a result, we are unable to determine whether the terms of an are increasing or decreasing.

What can you say about an if a bn for all n? a passes the Comparison Test and converges.

This is due to the fact that since bn converges and a converges since bn, we may infer that the terms of an are likewise decreasing and that an also sequence since bn based on the comparison test.

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Answer: personaly i would choose C

Step-by-step explanation:

the -25 is bigger than the 2 so it will be a negative answer

Answer:

3 sqrt(3)

sqrt(7)

Step-by-step explanation:

7 sqrt(3) - 2 sqrt(3) + sqrt(3) - 3 sqrt(3)

Factor out the sqrt(3)

sqrt(3) (7 -2+1-3)

Combine like terms

sqrt(3) (3)

3 sqrt(3)

5 sqrt(7) + 4 sqrt(7) - 8 sqrt(7)

Factor out the sqrt(7)

sqrt(7)( 5+4-8)

Combine like terms

sqrt(7) (1)

sqrt(7)

Step-by-step explanation:

a) We can factor out √3 from all of the terms:

√3(7 - 2 + 1 - 3) = 3√3

b) We can factor out √7 from all the terms

√7(5 + 4 - 8) = √7

For any function f(x), the average rate of change on the interval [x1,x2] is given by [f(x2) - f(x1)]/(x2-x1)

For f(-1) = 2.5 and f(3) = 40, the average rate of change on the interval [-1,3] is given by:

step 1 - (40 - 2.5)/[3-(-1)] = 37.5/4 = 9.375

step 2 - (37.5)/4

step 3 - Solving the fraction we find that the average rate of change is 9.375 (or 75/8)

Answer:

i answered this question so the other guy can get brainliest he deserves it

Step-by-step explanation:

B. 20; 3,460

smiley face

The radius of the cone is 3 units

Here, given the volume of a right circular cone and the height of the cone, we want to get the radius of the cone

Mathematically, we need the formula for the volume of a right circular cone

We have this formula as;

We substitute the value of the volume and the height as follows;

Answer:

1/8

Step-by-step explanation:

There are 4 possible outcomes when you spin the spinner once, and 4 * 4 = 16 possible outcomes when you spin the spinner twice. There is 1 way to spin a 6 and then 2 ways to spin a number greater than 5 (these numbers are 6 and 7), hence, there are 1 * 2 = 2 ways to land on a 6 and then land on a number greater than 5. Since probability = successful outcomes / total outcomes, our answer will be 2 / 16 = 1/8.

The function is defines for all (x,y,z) ∈ R³

Hence the domain of this equation is,

D = {(x, y, z) | 9x² + 9y² + z² ≤ 81

The function is bound by sphere.

The set of inputs that a function will accept is known as the domain of the function in mathematics.  (f),  " (f), where f is the function, are other ways to refer to it.

More specifically, the domain of f is X given a function  Xto Yfcolon Xto Y. It should be noted that in contemporary mathematical terminology, a function's domain is a component of its definition rather than a quality.

The function f can be graphed in the Cartesian coordinate system in the particular situation where X and Y are both subsets of  R  In this instance, the graph's x-axis shows the domain as the projection.

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Answer:

78.54 (rounded to 2 d.p)

Step-by-step explanation:

The formula for the volume of cylinder is πr(squared)h

Radius is half of the diameter so 5/2 = 2.5

The height is 4

Therefore,

π x 2.5 x 4 = 78.53982

(a) To show that W1 and W2 are orthogonal subspaces, we need to show that the dot product of any vector in W1 with any vector in W2 is zero. We can do this by showing that the dot product of each pair of basis vectors from W1 and W2 is zero.

(b) We can write y as a linear combination of the basis vectors, then solve for the coefficients using a system of equations. We get y = (-5/8)*v1 + (19/8)*v2 + (11/4)*v3 + (5/4)*v4. We can then take the appropriate linear combinations of v1, v2, v3, and v4 to get a vector in W1 and a vector in W2 that add up to y.

(a) To show that the subspaces W1 and W2 are orthogonal to each other, we need to show that every vector in W1 is orthogonal to every vector in W2. In other words, we need to show that the dot product of any vector in W1 with any vector in W2 is zero.

Let's take an arbitrary vector w1 in W1, which can be written as a linear combination of v1 and v2:

w1 = a1v1 + a2v2

Similarly, let's take an arbitrary vector w2 in W2, which can be written as a linear combination of v3 and v4:

w2 = b1v3 + b2v4

Now we can take the dot product of w1 and w2:

w1 · w2 = (a1v1 + a2v2) · (b1v3 + b2v4)

= a1b1(v1 · v3) + a1b2(v1 · v4) + a2b1(v2 · v3) + a2b2(v2 · v4)

We know that v1 · v3 = v1 · v4 = v2 · v3 = 0, because these pairs of vectors are not in the same subspace. Therefore, the dot product simplifies to:

w1 · w2 = a2b2(v2 · v4)

Since v2 · v4 is a scalar, we can pull it out of the dot product:

w1 · w2 = (v2 · v4) * (a2*b2)

Since a2 and b2 are just constants, we can say that w1 · w2 is proportional to v2 · v4. But we know that v2 · v4 = 0, because the dot product of orthogonal vectors is always zero. Therefore, w1 · w2 must be zero as well. This holds for any choice of w1 in W1 and w2 in W2, so we have shown that W1 and W2 are orthogonal subspaces.

(b) To find a vector in W1 that adds up to y, we can take the projection of y onto the subspace spanned by v1 and v2. Similarly, to find a vector in W2 that adds up to y, we can take the projection of y onto the subspace spanned by v3 and v4.

The projection of y onto W1 is given by proj_W1(y) = (-5/8)*v1 + (19/8)*v2.

The projection of y onto W2 is given by proj_W2(y) = (11/4)*v3 + (5/4)*v4.

Therefore, a vector in W1 that adds up to y is (-5/8)*v1 + (19/8)*v2, and a vector in W2 that adds up to y is (11/4)*v3 + (5/4)*v4.

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x + y = 35  and 2x + 4y = 102 represents the required system of equations.

Two or more expressions with an Equal sign is called as Equation.

Let x be the number of chickens and y be the number of cows.

Each chicken has 2 legs, so x chickens have 2x legs.

Each cow has 4 legs, so y cows have 4y legs.

The total number of animals is 35 and the total number of legs is 102, so we can set up the following system of equations:

x + y = 35 (the total number of animals)

2x + 4y = 102 (the total number of legs)

Hence, x + y = 35  and 2x + 4y = 102 represents the required system of equations.

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Answer:

12 and 3

Step-by-step explanation:

3 * 4 = 12

12 + 3 = 15

Answer:

34/45 pi

Step-by-step explanation:

To change from degrees to radians, multiply by pi/180

136 * pi/180

34/45 pi

Answer:

Part A: Yes

Part B: $30

Step-by-step explanation:

Some information is missing, but I did see a similar problem that shows a box shaped like a rectangular prism with length 5 in., width 4 in., and height 10 in.

Part A.

volume = length × width × height

volume = 5 in. × 4 in. × 10 in.

volume = 200 in.³

Since the volume has to be at least 180 in.³, then a volume of 200 in.³ will be ok since 200 is greater than 180.

Answer: Yes

Part B.

$0.15/in.³ × 200 in.³ = $30

Answer: $30

Answer:

I cannot see the number line mentioned here, but I'll explain how you multiply negative and positive using tiles and number line.

To multiply positive and a negative nunber, for instance, 2(–3), you'll think of it as 2 groups of negative one in three's. Using tiles you have

–1 –1

–1 –1

–1 –1

Two groups of negative one in three's, adding that up we have 6.

Using number line. See 2(–3), for instance, as moving twice in intervals of –3. If I am to multiply that, starting from 0, if I move once, I'll land at –3, if I move one more time, I'll land at –6. Since I am to move twice, that's the required answer.

Step-by-step explanation:

If your question is x² + 5xy

Then,

Numerical coefficient = Number in the given expression

Numerical coefficient = 5

Option A

Step-by-step explanation:

Solution,

In x+5xy

The numerical coefficient is 5.

Hence, option a is correct.

Step-by-step explanation:

\(11=8+2+1=2^3+2^1+2^0=\bold1\cdot2^3+\bold0\cdot2^2+\bold1\cdot2^1+\bold1\cdot2^0\\\\11_{10}=\bold{1011}_2\)

Answer:

44.99

Step-by-step explanation:

284.97(total cost) - 194.99(system cost) = 89.98(money spent on games) / 2(total games) = 44.99 = 44.99 spent per game.