Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes

The simplified value of the given expression in the form of a fraction is  \(\frac{5}{8\cdot(x+1)^2\cdot x^3}\) .

The given expression is:  \(\frac{15x^2y}{(x+1)^3}\cdot\frac{(x+1)}{24x^5y}\)

we will use the properties of exponents to simplify the expression.

Taking the powers of the like terms and combining we get :

\(\implies \frac{15x^2y}{(x+1)^3}\cdot\frac{(x+1)}{24x^5y}\)

\(\implies \frac{15}{24} \times \frac{x^{2-5}y^{(1-1)}}{(x+1)^{3-2}}\)

\(\implies \frac{5}{8\cdot(x+1)^2\cdot x^3}\\\)

Therefore we get the simplified equation for the expression.

Expressions are mathematical statements that comprise either numbers, variables, or both and at least two terms associated by an operator. Mathematical operations include addition, subtraction, multiplication, and division.

In mathematics, there are two different types of expressions: algebraic expressions, which also include variables, and numerical expressions, which solely comprise numbers. A set sum of money appears to be a constant.

A variable is a symbol that has no predetermined value. A term may consist of one constant, one variable, or a combination of variables and constants multiplied or divided. A number that is additionally multiplied by a variable is referred to as the coefficient in an expression.

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The solution is,  2.5 miles per hour was her walking rate in miles per hour.

We know that,

Speed is measured as distance moved over time.

The formula for speed is speed = distance ÷ time.

To work out what the units are for speed, you need to know the units for distance and time.

In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Speed = Distance/ Time.

Here, given that,

Bao walked 15 miles in 6 hours.

so, we get,

in 6 hours = 15 miles

so, in 1 hour = 15 / 6 miles

                    =2.5 miles

Hence, The solution is,  2.5 miles per hour was her walking rate in miles per hour.

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Answer:

Step-by-step explanation:

Lets assume that Kyle fill "a" 10-oz cups of coffee, "b" 14-oz cups of coffee and "c" 20 oz cups of coffee.

a + b + c = 16     (1)

10*a + 14*b + 20*c = 224       (2)

0.95*a + 1.15*b + 1.50*c = 18.60    (3)

Now, multiplying equation (1) by 10 and subtracting it from equation (2), we get

4b + 10c = 64  (4)

Again, multiplying equation (1) by 0.95 and substracting it from equation (3), we get,

0.2b + 0.55c = 3.4    (5)

Now,

Multiplying equation (5) by 20 and subtracting it from equation (4), we get

-c = -4,

Hence, c= 4

Putting this value in equation (4),

4b + 40 = 64

Hence, 4b = 24

So, b = 6

Again, putting the values of b and c in equation (1),

a + 6 + 4 = 16

Thus,

a = 6

Hence, the solution is

a = 6, 10oz cups of coffee

b = 6, 14 oz cups of coffee

c = 4, 20 oz cups of coffee

The profit function is P(x) = -500.523x^2 + 600x - 200.

To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).

Given:

Cost function: C(a) = 500x^2 + 300

Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300

Profit function, P(x), is obtained by subtracting the cost function from the revenue function:

P(x) = R(x) - C(a)

P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)

Simplifying the expression:

P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300

P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300

P(x) = -500x^2 - 0.523x^2 + 600x - 200

Combining like terms:

P(x) = (-500 - 0.523)x^2 + 600x - 200

Simplifying further:

P(x) = -500.523x^2 + 600x - 200

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Answer:

F. 5000militres

Step-by-step explanation:

1 litre= 1000ml

1 practice= 1000ml

therefore 5 practices= 5*1000ml

= 5000ml

Answer:

\(\Huge \bold{\boxed{\boxed{\text{5\%}}}}\)

Step-by-step explanation:

To calculate the margin of error for the survey, we need to use the formula:

\(\large \text{Margin of error} = \large \text{$\frac{\text{Range of values}}{2}$}\)

The range of values is the difference between the upper and lower bounds of the interval. In this case, the lower bound is 22% and the upper bound is 32%, so the range of values is:

\(\large \text{Range of values = 32\% - 22\% = 10\%}\)

Substituting this value into the formula, we get:

\(\large \text{Margin of error = $\frac{10\%}{2}$ = 5\%}\)

Therefore, the margin of error on the survey is 5%.

If a is in the second quadrant, then cos(a) < 0 and sin(a) > 0.

Recall the double angle identity for cosine:

cos(2a) = 2 cos²(a) - 1 = 1 - 2 sin²(a)

It follows that

2 cos²(a) - 1 = -4/5   ==>   cos²(a) = 1/10   ==>   cos(a) = -1/√10

1 - 2 sin²(a) = -4/5   ==>   sin²(a) = 9/10   ==>   sin(a) = 3/√10

Then we find

1/cos(a) = sec(a) = -√10

1/sin(a) = csc(a) = √10/3

sin(a)/cos(a) = tan(a) = -3

1/tan(a) = cot(a) = -1/3

If the line y = 4x - 5 is dilated from the point (2,3) by a scale factor of 4, the equation of the new line is:

y = 4x - 20

The given line is represented by the equation:

y  =  4x  -  5

The given line y = 4x - 5 is dilated from the point (2, 3)

Let the center of dilation be (0, 0)

The distance from the center of dilation to the given point = (2-0, 3-0)

The distance from the center of dilation to the given point = (2, 3)

Multiply by the scale factor to get the distance from the origin

The distance from the origin = (4x2,  4x3) = (8, 12)

y - y₁ = m(x - x₁)

y - 12  = 4(x - 8)

y - 12 = 4x - 32

y = 4x - 32 + 12

y = 4x - 20

The equation of the new line is:

y = 4x - 20

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Answer:

skip counting by 0

Step-by-step explanation:

skipcount by 0 to get to 100 for the third column.

Answer:

its the first graph

Step-by-step explanation:

I got it right bc im cool like that ig

Answer:

-3 I believe

Step-by-step explanation:

why dose the answer have to be 20+ letters

Answer:

-3

Step-by-step explanation:

To find y, plug in -12 for x in the y=1/4x equation. Multiply -12 by 1/4 (or divide -12 by 4) and you get -3.

The result of the interpretation of the graph:

Spring side weakens the correlation shown in the scatter plot.

The correct option is D.

The precise metric used in a correlation analysis to quantify the strength of the linear relationship between two variables is the correlation coefficient. In a correlation report, the r stands for the coefficient.

Given:

The mean test score is represented in the scatter plot as a function of the average class size.

This demonstrates that there is a negative link between the mean class size and the mean test score,

with the mean score decreasing as the mean class size increases.

The correct response is:

Spring-side decreases the association displayed in the scatter plot.

However, for Spring side, the mean test score is higher than most other schools with lower class sizes, which is a different outcome than predicted.

Therefore, spring-side weakens the correlation shown in the scatter plot.

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The complete question:

A newspaper collected information on schools in its circulation area in order to compare their quality. Two measures the newspaper collected for each school, mean class size and mean score on a statewide reading exam, are shown in the scatter plot. One school in the report, Spring side Elementary, is labeled in the graph.

Which is a true statement regarding Spring side?

Spring side does not affect the correlation.

Spring side weakens the correlation shown in the scatter plot.

The spring side strengthens the correlation shown in the scatter plot.

Removing Spring side would increase the value of the correlation coefficient.

The scatter plot is attached in the image.

Answer:

C

Step-by-step explanation:

using the rule of logarithms

log a - log b = log (\(\frac{a}{b}\) ) , then

log (\(\frac{15}{7}\) ) = log 15 - log 7

Answer:

Let b be the distance in feet to base camp and p be the distance in feet to the peak. Then, the remaining distance Rina must climb to reach the peak is:

Rina's distance = p - b

Since Rina has not yet reached base camp, we know that b > 0. Thus, the inequality to show the remaining distance d in feet she must climb to reach the peak is:

p - b > 0

Step-by-step explanation:

Answer:

A C E F

Step-by-step explanation:

Answer:

A, C, E, and F.

Answer:

1: 90

4:90

Step-by-step explanation:

Answer: 110

Explanation: all 3 angles have to add up to 180.

Both the right and left angles are the same and since the left angle is 35 degrees we can safely conclude the right angle is as well, so all you have to do is is both of the 35 degree angles together which gives you 70, then subtract it from 180. 180-70=110 so that is the angle of 1. and since the bottom and top are the same the angle of 4 is also 110

Answer:

about 211.4 yards per dress

Step-by-step explanation:

you just divide 1057 by 5

Answer:

-11

Step-by-step explanation:

4+(-15)=

-11

Answer:

Yes, it is possible.

Step-by-step explanation:

It is possible to have same profit rate.

The number of sales may demonstrate that the company Q with 25 online sales is smaller than the company Z with 150 online sales.

Or the company Q may have higher profit rate on individual sales than company Z.

Answer:

The answer is 13.1

Step-by-step explanation:

Hello! Hope u still need the answer but the answer for the question above is "13.1"! How did I got the answer you ask? I'll show u! :)

The maximum height of the rock represents the vertex of a parabola. Recall that the​ x-coordinate of the standard form quadratic function ​f(x)axbxc is given as x

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The rock travels 8.2x² meters higher on the Moon than on Earth.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The height above the surface of the Moon is given by g(x) = -1.6x² + 10x + 1.5.

The height above the surface of the Earth is given by f(x) = -9.8x²

+ 10x + 1.5.

To find the difference in height between the two, we can subtract the Earth equation from the Moon equation:

g(x) - f(x) = (-1.6x² + 10x + 1.5) - (-9.8x² + 10x + 1.5)

Which simplifies to:

g(x) - f(x) = 8.2x²

Therefore, the rock travels 8.2x² meters higher on the Moon than on Earth.

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Answer:

12 packages 2 books 5 crayons and 7 markers

Step-by-step explanation:

Answer:

The surface area of the cube is equal to 216 cm².

General Formulas and Concepts:
Geometry

Surface Area Formula [Cube]:
\(\displaystyle \text{SA} = 6a^2\)

Step-by-step explanation:

Step 1: Define

Identify given variables.

a = 6 cm

Step 2: Find Surface Area

∴ we have found the surface area of the cube to be 216 cm².

---

Topic: Geometry

The surface area of a 3D figure is the sum of the area of its faces.

We know the following:

Since all faces in a cube have the same area, the surface area of a cube is:

\(\boxed{(\text{side})^{2} + (\text{side})^{2} + (\text{side})^{2} + (\text{side})^{2} + (\text{side})^{2} + (\text{side})x^{2} = 6(\text{side})^{2}}\)

Therefore, the surface area of a cube must be known as 6(side)².

\({\text{Given side length of cube:} \ |\text{6 centimeters}|\)

Substitute the side length in the surface area formula and simplify:

\(\implies 6(6)^{2}\)

\(\implies 6(6)(6)\)

\(\implies \boxed{216 \ \text{cm}^{2}}\)

Therefore, the surface area of the cube is 216 cm².

\(\overline{===============================================}\)

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The inequality statement 7.745966… < √59 is true.

The symbol √59 represents the square root of 59, which is approximately 7.681146. The value 7.745966… is a decimal representation of the square root of 59 that has been rounded to three decimal places. Because 7.681146 is less than 7.745966, the inequality statement 7.745966… < √59 is true.

The equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.

To find the equation of the line perpendicular to y=1/2x-1, we need to determine its slope. We can recall that the slope of a line in slope-intercept form, y = mx + b, is given by m, the coefficient of x. So in the given equation y=1/2x-1, the slope is 1/2.

The slope of a line perpendicular to this line will be the negative reciprocal of the slope, which means it will be -2. To see why this is true, remember that the product of the slopes of two perpendicular lines is always -1. So if the slope of the original line is m, the slope of the perpendicular line will be -1/m.

Now that we know the slope of the perpendicular line is -2, we can use the point-slope form of the equation of a line to find its equation. The point-slope form is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line.

We are given a point on the perpendicular line, (5, 6), so we can substitute that into the equation and also substitute in the slope, -2:

y - 6 = -2(x - 5)

y - 6 = -2x + 10

y = -2x + 16

Hence, the equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.

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Answer:

it is correct I think it's right

Step-by-step explanation:

Answer:

y=2x+6

Step-by-step explanation:

slope intercept form is y=mx+b where m is the slope (change in y over change in x) or (y2 - y1) / (x2 - x1)  and b=y intercept (where x=0)

Thus, m=2 and b = 6

The completion of the table on simple interest would be :

The simple interest will be the same every year which is why it would keep increasing by $ 30 for each year up to the 4 years. It will go from $ 30 to $ 60 to $ 90, and then $120 so that the total in the account after 4 years is:

= 600 + 120

= $ 720

The simple interest formula to help find out after 4 years is:

= Principal + ( Principal x Rate x Time)

= 600 + ( 600 x 5 % x 4 )

= 600 + 120

= $ 720

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