PLEASE HELP OUT WIITH THIS

Answer:

A

Step-by-step explanation:

The effective mass on the opposite end of the lever is 4 kg and distance is given, which is incorrect as option D is 25 kg otherwise all option is correct .

In the given scenario, a 2 kg mass is placed at the end of a lever, which is 20 cm from the pivoting point. If the mass is transferred to the other side of the lever, which is 10 cm from the pivot,

Let's find out.The effective mass on the opposite end of the lever can be found using the following formula:

= Mass × distance of its center of gravity from the pivot

Let M be the effective mass that we have to find. Then, we have:

2 kg × 20 cm

= M × 10 cm40 cm

= 10 M4

= MM

= 4

Therefore, the effective mass is 4 kg. Hence, option D. 25 kg is incorrect as the effective mass is 4 kg.

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The total number of students participating in a school club or sport is 105.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers. On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.

Given that three out of 5 students at Maria's school participate in a school club or sport and there are 175 students at the school.

In this situation, the number of people that participate will be:

= Fraction utilized × Total number of students

= 3/5 × 175

= 105

The number of people is 105.

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The average rate of change of the function is -1/3

The rate of change of a function is expressed as;

f'(x) = f(b)-f(a)/b-a

From the given graph, we are

f(b) = f(4) = 0

f(a) = f(1) = 1

Substitute the given parameters into the formula

f'(x) = f(4)-f(1)/4-1
f'(x) = 0-1/4-1

f'(x) = -1/3

Hence the average rate of change of the function is -1/3

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Answer:

3CuCl2 + 2Ni → 3Cu + 2NiCl3

If Georgia works part-time at daycare while he is going to college. She earned $160 last week. Georgia worked 12 more hours than the amount she is paid per hour. Then Georgia's hourly pay rate is $8 per hour.

Let's assume Georgia's hourly pay rate is x dollars per hour.

According to the given information, Georgia worked 12 more hours than the amount she is paid per hour. So, the total number of hours worked by Georgia can be represented as (x + 12).

We know that Georgia earned $160 last week, which means her total earnings can be represented as the product of her hourly pay rate and the total number of hours worked:

Total earnings = Hourly pay rate × Total hours worked

$160 = x × (x + 12)

To find Georgia's hourly pay rate, we need to solve this equation. Let's rearrange it:

x^2 + 12x - 160 = 0

Now we can solve this quadratic equation by factoring or using the quadratic formula. Factoring might not yield nice whole numbers, so let's use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

For our equation, a = 1, b = 12, and c = -160. Substituting these values into the quadratic formula:

x = (-12 ± √(12^2 - 4(1)(-160))) / (2(1))

Simplifying further:

x = (-12 ± √(144 + 640)) / 2

x = (-12 ± √784) / 2

x = (-12 ± 28) / 2

Now we have two possible solutions:

x1 = (-12 + 28) / 2 = 16 / 2 = 8

x2 = (-12 - 28) / 2 = -40 / 2 = -20

Since the hourly pay rate cannot be negative, we can disregard x2 = -20.

Therefore, Georgia's hourly pay rate is $8 per hour.

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Question might be incomplete or incorrect so we'd have to assume Mateo took apples

Answer:

5/189 apples

Step-by-step explanation:

If Carlos picks 6/384 apples then there must be 384 apples available to pick from. Amount of apples left after Carlos picks =384-6=378 apples

If Mateo picks 10 apples after Carlos then how much apples Mateo has taken would depend on the number of apples available, hence the fraction of apples Mateo has taken = 10/378

Reduce to lowest terms to get 5/189 apples

The measurement of the sides of the equilateral triangle is 16 cm.

The perimeter of the rectangle,

Perimeter of rectangle = 2(length + width)

                                      = 2(15 + 9)

                                      = 2(24)

                                      = 48 cm

Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle, we have,

Perimeter of equilateral triangle = 48 cm

An equilateral triangle has all three sides equal, so let's call the length of each side "s". The perimeter of the equilateral triangle can also be expressed as:

Perimeter of equilateral triangle = 3s

Therefore, we have,

3s = 48

Solving for "s", we get,

s = 16

The length of sides of equilateral triangle is 16 cm.

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Answer:

10^4

Step-by-step explanation:

10×10×10×10=10,000, which is given number.

Answer:

17

Step-by-step explanation:

both m's substitute for 4

4+4+9

8+9

17

Answer:

Step-by-step explanation:

Rational numbers include fractions ,  positive numbers, negative numbers ,zero that can be written as a ratio (fraction) of one number over another and so on.

Answer:

  vertical asymptote: x = 3

  slant asymptote: y = x+5

Step-by-step explanation:

You want the vertical and slant asymptote of the graph of the rational function ...

  y = (x² +2x -3)/(x -3)

Using synthetic division (see the first attachment), we find the quotient to be (x+5) and the remaining rational function term to be 12/(x-3).

There is a vertical asymptote at the value of x where the denominator is zero: x = 3.

The slant asymptote is the polynomial part of the quotient:

  y = x +5

The asymptotes are the orange dashed lines in the second attachment.

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In perimeter, The cost to frame Joy's math certificate in a fancy frame is $138.00.

The dimensions of Joy's math certificate are 10 inches tall and 13 inches wide.

Joy wants to frame it in a fancy frame that costs $3.00 per inch.

To determine the total cost of framing the certificate, we need to find its perimeter and then multiply that by the cost per inch.

The perimeter of the certificate is:

Perimeter = 2 × (height + width)

Substituting the given values, we get:

Perimeter = 2 × (10 + 13)Perimeter = 46 inches

Therefore, the total cost of framing Joy's math certificate is:

Total cost = Perimeter × Cost per inch

Total cost = 46 × 3.00Total cost = $138.00

Thus, the cost to frame Joy's math certificate in a fancy frame is $138.00.

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Answer:

The rule is to add three.

Answer: 40

Step-by-step explanation:

180-120-20=40

a straight line is 180.

Answer:

-7/10 + 7 2/3 = 209/ 30 = 6 29/ 30 ≅ 6.9666667

Hope This Helps!!!

Answer:

6 29/30 or 209/30

Step-by-step explanation:

-7/10+  7 2/3

-7/10+23/3

-21/30+ 230/30

209/30

which is 6 29/30

Answer:

the answer is X = 40 Y=50

Step-by-step explanation:

Answer:

57.5% of the students polled prefer pizza

The set of data we have is:

To represent the central tendency, we need a measure that is representative of most of the data we have. In the case that the values are similar or there is not much variation, it is most common to use the mean.

But in cases like the one, we have in this problem where most of the values are close together like 1, 2, or 3, and then we have a "much" greater or different value, like the 9 we have in the set, it is better to use the median.

The Median will be a better measure of the central tendency because it will reflect where most of the values of the set of data are located, and the 9 will not affect as much as it can affect by using the mean.

Answer: Median

We will use simple division to solve the problem. The number of representatives attended from each country is 706.

In the given question we know that a political gathering in South America was attended by 8475 people and each 12 territories of South America were equally represented. We need to find out how many representatives attended from each country. Inorder to find the number of representatives we can divide 8475 by 12.

number of representatives= 8475/12 =706

Therefore number of representatives from each country is 706.

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Answer:

It should be 136

Step-by-step explanation: I split it up into multiple pieces

Rectangle 1= 20*2=40

Rectangle 2= 14*4=56

Rectangle 3= 20*2=40

40+40+56=136

Answer: A

Step-by-step explanation:

because i nsaid sooooo

Answer:

It is a metaphor.

Step-by-step explanation:

Hope it helps

Answer:

I'm not 100% sure but I think c is 55°

Answer:

Step-by-step explanation:

Answer: x - 4y = 24

                 x + y = 4

Hope that helps

The system of equations is represented by these two tables is-

y = -x + 4

x - 4y = 24

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given are two tables as shown in the figure attached.

For table [1], we have -

m = (6 - 4)/(- 2 - 0)

m = 2/-2

m = -1

Equation -

y = -x + 4

For table [2], we have -

m = (-8 + 7)/(-8 + 4)

m = -1/-4

m = 1/4

Equation -

y = x/4 - 6

y = (x - 24)/4

4y = x - 24

x - 4y = 24

Therefore, the system of equations is represented by these two tables is-

y = -x + 4

x - 4y = 24

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Answer:

To prove that n^3 + 3n + 4 is Θ(2^n), we need to show that it is both O(2^n) and Ω(2^n).

First, let's show that it is O(2^n). To do this, we need to find constants c and n0 such that n^3 + 3n + 4 <= c * 2^n for all n >= n0.

We can start by simplifying the left-hand side: n^3 + 3n + 4 <= n^3 + n^3 + n^3 (since 3n <= n^3 and 4 <= n^3 for all n >= 1).

So we have: n^3 + 3n + 4 <= 3n^3

Now, for n >= 1, we know that 2^n <= 3^n, so we can write: 3n^3 >= 2^n

Therefore, we have: n^3 + 3n + 4 <= 3n^3 <= c * 2^n for c = 3 and n0 = 1.

So, n^3 + 3n + 4 is O(2^n).

Next, let's show that it is Ω(2^n). To do this, we need to find constants c and n0 such that n^3 + 3n + 4 >= c * 2^n for all n >= n0.

One way to approach this is to try to find a lower bound for n^3 + 3n + 4 by removing some terms (because we want to show that the left-hand side is at least as big as some constant times 2^n, and the more terms we have on the left-hand side, the harder that is to do).

If we remove the 3n and the 4, we have n^3 <= n^3.

If we remove only the 4, we have n^3 + 3n >= n^3.

Either way, we have: n^3 + 3n >= n^3 >= c * 2^n for c = 1 and n0 = 1.

Therefore, n^3 + 3n + 4 is Ω(2^n).

Since we have shown that n^3 + 3n + 4 is both O(2^n) and Ω(2^n), we can conclude

Step-by-step explanation:

We have shown that n^3 + 3n + 4 is in the order of e(2n^3), as required.

To prove that n^3 + 3n + 4 is in the order of e(2n^3), we need to show that there exist positive constants c and n0 such that:

n^3 + 3n + 4 <= c * e(2n^3) for all n >= n0

Taking natural logarithm on both sides of the inequality, we get:

ln(n^3 + 3n + 4) <= ln(c) + 2n^3

Now, we need to show that there exist positive constants c and n0 such that the inequality holds.

Taking the derivative of the left-hand side of the inequality, we get:

d/dn (ln(n^3 + 3n + 4)) = (3n^2 + 3) / (n^3 + 3n + 4)

For n >= 1, we have:

3n^2 + 3 <= 3n^3 + 3n^2 <= 6n^3

n^3 + 3n + 4 >= n^3

Therefore,

d/dn (ln(n^3 + 3n + 4)) <= (6n^3) / n^3 = 6

This means that the function ln(n^3 + 3n + 4) is bounded above by a constant of 6. Thus, we can set c = e^6 and n0 = 1.

For all n >= 1, we have:

ln(n^3 + 3n + 4) <= 6 + 2n^3

n^3 + 3n + 4 <= e^(6 + 2n^3) = e^6 * e^(2n^3)

Therefore, we have shown that n^3 + 3n + 4 is in the order of e(2n^3), as required.

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The coordinates of the image of triangle ABC after a dilation with center (0, 0) and a scale factor of 1/2 are:

A'(x1', y1') = (1/2)x1, (1/2)y1)

B'(x2', y2') = (1/2)x2, (1/2)y2)

C'(x3', y3') = (1/2)x3, (1/2)y3)

We  multiply the coordinates of each vertex of the original triangle by the scale factor, in order to find the coordinates of the image.

We assume that the coordinates of the vertices of triangle ABC are A(x1, y1), B(x2, y2), and C(x3, y3).

After the dilation with a scale factor of 1/2, the new coordinates of these vertices will be:

A'(x1', y1') = (1/2)x1, (1/2)y1)

B'(x2', y2') = (1/2)x2, (1/2)y2)

C'(x3', y3') = (1/2)x3, (1/2)y3)

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The interquartile range (IQR) for this data set is 1.5.

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

To find the interquartile range (IQR), we need to first find the first quartile (Q1) and the third quartile (Q3).

To find Q1, we need to find the median of the lower half of the data.

The lower half of the data is:

2, 3, 3, 4, 4

The median of the lower half is (3 + 4) / 2 = 3.5.

Therefore, Q1 = 3.5.

To find Q3, we need to find the median of the upper half of the data.

The upper half of the data is:

4, 4, 4, 5, 5, 6, 7

The median of the upper half is (5 + 5) / 2 = 5.

Therefore, Q3 = 5.

Now that we have Q1 and Q3, we can find the IQR by subtracting Q1 from Q3:

IQR = Q3 - Q1 = 5 - 3.5 = 1.5

Therefore,

The interquartile range (IQR) for this data set is 1.5.

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The given equation 6x+2y=13 is a linear equation in two variables. In this equation, x and y are variables while 6 and 2 are their respective coefficients, and 13 is a constant term. The equation can be represented as a straight line on a graph. The slope of this line is -3, and it intersects the y-axis at the point (0, 13/2).

In this equation, if we substitute x=0, then y=13/2, and if we substitute y=0, then x=13/6. These are the two points that the line passes through the x and y-axis.

A linear equation is a polynomial equation that is of the first degree, meaning the variables in the equation are not raised to any powers other than one. This equation is in the standard form where the variables are in the first degree. 6x + 2y = 13 is the form of the given linear equation. x and y are the two variables, and 6 and 2 are their respective coefficients. The equation can be represented as a straight line on a graph. The slope-intercept form of this equation is y = -3x + 13/2. The equation is also in standard form.

When x = 0, the equation becomes 2y = 13. This means that the point of intersection is (0, 13/2) when y = 0, the equation becomes 6x = 13, and the point of intersection is (13/6, 0). The slope of the line is -3. When x increases by 1, y decreases by 3.

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