Convert the following measurement.
g 3 cm kg 3 m 0.0088 =
X
?

The speed at which the bottom of the ladder is being pulled away from the wall is equal to the rate at which the top is sliding down, which is 1 ft/second.

The bottom of the ladder is being pulled away from the wall at the same rate at which the top of the ladder is sliding down the wall. As the top of the ladder slides down at a rate of 1 ft/second, the bottom of the ladder is also being pulled away at a rate of 1 ft/second.

The bottom of the ladder is being pulled away from the wall at a rate of 100 ft/second if the top of the ladder is sliding down at a rate of 100 ft/second.

The speed at which the bottom of the ladder is being pulled away from the wall is equal to the rate at which the top is sliding down, which is 1 ft/second.

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The relative maximum value of f occurs at x = b) 0.20.

We can find the relative maximum value of f by finding the critical point of f, which is the value of x where the derivative of f is equal to 0.

f'(x) = e^x - 3x^2 = 0

e^x = 3x^2

ln(e^x) = ln(3x^2)

x = sqrt(ln(3x^2))/sqrt(3)

That is not a real value, however, we can find the relative max by finding the second derivative test, which is the sign of the second derivative of f at x. If the second derivative is positive, the x is a relative max.

f''(x) = e^x - 6x

To find the relative max we have to evaluate the second derivative at each option point a,b,c,d,e

a) -0.46 f''(-0.46) is negative

b) 0.20 f''(0.20) is positive

c) 0.91 f''(0.91) is negative

d) 0.95 f''(0.95) is negative

e) 3.73 f''(3.73) is negative

Therefore, the relative maximum value of f occurs at x = b) 0.20

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The cost of L meters of electrical cord would be L * (3 dollars/meter).

If 1 meter of electrical cord costs 3 dollars, then each length of electrical cord that is 1 meter long would cost 3 dollars. If you want to find the cost of a length of electrical cord that is not 1 meter long, you would need to multiply the length of the cord in meters by the cost per meter. For example, if you wanted to find the cost of 2 meters of electrical cord, you would multiply 2 by 3 dollars/meter to get 6 dollars. In general, the cost of L meters of electrical cord would be L * (3 dollars/meter).

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2 one meter of electrical cord costs 3 dollars, so each length of electrical cord cost is 1.5 dollars.

In the given question, 2 one meter of electrical cord costs 3 dollars.

We have to find how much each length of electrical cord cost.

The unitary method is a method that involves finding the value of one unit (by division) and utilizing that value to determine the values of numerous units (by multiplication).

As given that

2 one meter cord = 3 dollars

To find the cost of each length of electric cord we divide 3 by 2 because the cost of 2 is 3.

1 one meter cord = 3/2 dollars

1 one meter cord = 1.5 dollars

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Answer:

[tex]x^{2} + x -3[/tex]

Step-by-step explanation:

1. Write out the equation

[tex](x-2)+( x^{2} -1)\\[/tex]

2. Add like-terms

[tex]x^{2} +x-3[/tex]

Step-by-step explanation:

(X^2-1+x-2)

(X^2+x-2x-2)

X(x+1)-2(x+1)

(X-2)(x+1)

The factor of 14s + 7 is 7 (2s +1). A factor is a number that divides another number by itself with no residual.

Factor 14s + 7 :  7(2s + 1)

Steps

14s + 7

Rewrite 14 as 7 × 2

Rewrite 7 as 7 ×  1

=7 × 2 s + 7 ×  1

Factor out common term 7

=7(2s + 1)

Hence, The factor of 14s + 7 is 7 (2s +1). A factor is a number that divides another number by itself with no residual.

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The equivalent ratios are 8:1/3, 4:1/6, 6:1/4, 10:5/12.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Let us consider the table as below

Meters     8     4     y      z

Minutes   1/3   x     1/4    5/12

Since all the columns are pertaining same ratio; thus we have:

8/(1/3)=4/x=y/(1/4)=z/(5/12)

8/(1/3)=4/x

24=4/x

x=4/24=1/6

So the value of x is 1/6

24=y/(1/4)

24=4y

6=y

So the value of y is 6

24=z/(5/12)

24=12z/5

10=z

Hence, the equivalent ratios are 8:1/3, 4:1/6, 6:1/4, 10:5/12.

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The values of variables are
a. x = -3/2; b. x = 0; c. y = 5; and d. a = 0 and b = 0.  

A mathematical definition of an equation is a statement that two expressions are equal and joined by the equals sign "=". In algebra, an equation only satisfies a definite value of the variable.

To solve an equation we need to do operations like adding and subtracting the same integers or dividing or multiplying with the same integers.

Given equations can be solved as follows

a. 2x + 3 = 0

Add -3 on both sides

=> 2x + 3 - 3 = 0 - 3

=> 2x = - 3

=> x = -3/2  

b. 7x = 0

dividing by 0 into both sides

=> 7x/7 = 0/7

=> x = 0      [ ∵ 0/x = 0 ]  

c. 7(y - 5) = 0

divide by 7 into both sides

=> 7(y - 5)/7 = 0/7

=> (y - 5) = 0

Add 5 on both sides

=> y - 5 + 5 = 0 + 5

=> y = 5

d. ab = 0

If we divided by 'a' into both sides

=> ab/a = 0/a

=> b = 0

If we divided by 'b' into both sides  

=> ab/b = 0/b

=> a = 0

Therefore,

The values of variables are
a. x = -3/2; b. x = 0; c. y = 5; and d. a = 0 and b = 0.

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dV/dt = -1.4t³ is differential equation that describe the relationship.

The differential equation dV/dt = kV³ where k is the constant will forecast the rate of change of volume.

We know that a tank's water leak causes its volume to fluctuate at a pace that is proportional to its cube as time passes.

The tank is leaking the volume. Therefore, the rate might be expressed negatively.

The rate of change of volume can be expressed as follows: dV/dt is proportional to V³ that is dV/dt = kV³ for the specified conditions.

The proportionality constant in this case is k. By employing the boundary conditions, its value can be determined.

Therefore, dV/dt=kV³ where k is the constant will be the differential equation predicting the rate of change of volume.

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Answer: The zone of a rectangle is the item of length and width in this way the zone will be 1358 square meters.

Step-by-step explanation:

Rectangle ?

A rectangle may be a geometrical figure in which inverse sides are equal. The point between any two successive sides will be 90 degrees. The edge of the rectangle = 2( length + width).                       It has 4 sides, 4 points, and 4 corners (vertices)

It is known that,

Area of rectangle = length × Breadth

Area = 97 x 14 = 1358 square meters

Hence

The range of a rectangle is the item of length and Breadth in this way the zone will be 1358 square meters.

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The area of the rectangle is 1358

GIVEN-

Length=97

breadth=14

TO FIND-

Area of rectangle

STEPS-

Area of rectangle= length×breadth

∴area of rectangle=97 x 14

=1358

The area of rectangle is 1358m

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Code  chunk  is created the wages column using analyst technique. mutate(salary_data, hourly_salary = wages/40) .

By using data analyst  technique in which the mutate() function  is used to create a new column for wages which is divided by 40 known as hourly_salary. The mutate() function in which it adds  a new column and  leaves  existing columns .

A data analyst who collects, cleans, and interprets large amounts and contents of data in order to simplify ,answer questions to a particular  problem in a standard manner . The team people work in a wide range of industries, including business, finance, criminal justice, science, medicine, and government of utilization of process.

Role of a Data Analyst makes more crucial in modern technician  businesses, assisting in the modern  reflection of the company's work and customer  related base, determining in such way that  how these factors have  been affected by  profits, and advising modern  leadership on to move forward to grow the business in the modern world .

hence ,  code chunk is discussed based on the analyst at the column of wages and also detailed about how does the data analyst is working with the data frame wages which includes data at the rate of column and multiplied by 40.

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A code chunk which lets the analyst create the wages column include the following: A. mutate(salary_data, wages = rate * 40).

In Computer programming, a mutate function can be defined as a type of function in R programming that is primarily used for the creation of a new variable from a list of data set while preserving existing variables or existing columns.

In this scenario, the code chunk which would let the data analyst create the wages column from the rate column should be written in R Studio (R programming) as follows:

mutate(salary_data, wages = rate * 40).

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Complete Question:

A data analyst is working with a data frame named salary_data. They want to create a new column named wages that includes data from the rate column multiplied by 40. What code chunk lets the analyst create the wages column?

A. mutate(salary_data, wages = rate * 40)

B. mutate(salary_data, wages = rate + 40)

C. mutate(wages = rate * 40)

D. mutate(salary_data, rate = wages * 40)

The minimum sample size required for the estimate (to the next integer) is given as 404.

Note that a sample size is the number of observations or individuals in a sample selected from a population.

The formula for Sample Size (n) is given as:

Sample size = n = [(Z[tex]_{\alpha/2 }[/tex] * σ ) / E]²

Where:

α = 1-90%

Margin of Error (E) = 0.18

Standard Deviation = σ = 2.2

At 90% confidence level the z is,

α = 1 - 90% = 1 - 0.90 = 0.10

α /2 = 0.10/2 = 0.05

Z[tex]_{\alpha/2 }[/tex] = Z₀.₀₅ = 1.645

Thus, Samples Size =
= [(1.645 * 2.2) /0.18]²

= (3.619/0.18)₂

= (20.1055555556)²

= 404.2333641993; thus

n [tex]\approx[/tex] 404

Therefore, the minimum sample size required for the estimate to the next integer is 404.

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When a cube and a sphere have the same volume, their surface areas would compare as sphere will have a larger surface area than the cube.

The area or region that an object's surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including sphere, cube, cuboid, cone, cylinder, etc. Each shape has its own volume and surface area.

If a cube and a sphere have the same volume, the sphere will have a larger surface area than the cube. This is because the surface area of a sphere is determined by the radius of the sphere, while the surface area of a cube is determined by the length of its sides. Since the radius of the sphere is greater than the length of the sides of the cube, the surface area of the sphere will be larger.

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The slope of the points (-4, 7) and (-6, -4) when a line passes through them is 5.5

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

(-4, 7), (-6, -4

When the above points are expressed properly, we have the following ordered pairs

(x, y) = (-4, 7) and (-6, -4)

The formula for the slope of the line is then represented using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

In this case, the values of the variables are

(x, y) = (-4, 7) and (-6, -4)

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

Substitute the known values in the above equation

So, we have the following equation

Slope = (-4 - 7)/(-6 + 4)

Evaluate

Slope = 5.5

Hence, the slope of the line is 5.5

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Complete question

What’s the answer for the slope of (-4, 7), (-6, -4)?

Answer:The value of y is 8 if AB is perpendicular CD after using the slope formula.

What is the slope?

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

It is given that:

A(9, 2), B(-1, y) C.(-5, 16) and D(-8, 11),

AB is the perpendicular CD

Using the slope formula to find the slope between A and B:

(y-2)/(-1-9)

= (y-2)/-10    

(11-16)/(-8-(-5)) =

-5/(-3)

= 5/3  

The perpendicular slope is -3/5

(y-2)/10=-3/5

5(y-2)=3(10)    

5y-10=30  

5y=40  

y = 8

Thus, the value of y is 8 if AB is perpendicular CD after using the slope formula.

Answer: There u go

Step-by-step explanation:

Answer:

Step-by-step explanation:

answer the prenthese first then multiply the numbers that are not in the prenthese. if u dont understand it let me know

if the diameter is 8.4, that means its radius must be half that, or 4.2

[tex]\textit{area of a circle}\\\\ A=\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4.2\\ \pi =3\frac{1}{7}\\[1em] \qquad \frac{22}{7} \end{cases} \implies A=\cfrac{22}{7}(4.2)^2\implies A=55.44[/tex]

The value of p is 1/3.

P(A∪B) = P(A) + P(B) − P(A∩B)

0.6 = 0.4 + p − P(A∩B)

(A∩B) = 0.4 + p − 0.6 = p − 0.2

Since , A and B are independent events.

P(A∩B) = P(A) × P(B)

p − 0.2 = 0.4 × p

p − 0.4p = 0.2

p = 0.2/0.6 = 1/3

The chance of an event happening given that another event has already occurred (via assumption, supposition, statement, or evidence) is known as conditional probability in the field of probability theory. [1] This particular approach depends on event B happening in some way connected to another event A. In this case, a conditional probability analysis with respect to event B is possible.

The probability of A under the condition B is typically expressed as P(A|B)[2] or PB if the event of interest is A and the event B is known to have occurred or is assumed to have done so (A). This can alternatively be thought of as the percentage of possibility that B and A will collide.

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A customer who pays $81 has 8 pizzas delivered.

Let x be the number of pizzas delivered to a customer who pays $81.

The cost of the pizzas is $81 - delivery fee.

The delivery fee for 2 pizzas is $25 - cost of 2 pizzas = $25 - 2x.

The delivery fee for 5 pizzas is $49 - cost of 5 pizzas = $49 - 5x.

Equating the two delivery fees, we get:

$25 - 2x = $49 - 5x

Solving for x:

- 2x +  5x = $49 - $25

  3x = 24

Divide both sides by the coefficient x

   x = 8

Hence, a customer who pays $81 has 8 pizzas delivered.

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Answer:

Below

Step-by-step explanation:

75 °F   ≤  T°  ≤  92 °F     <=======given

A pie chart shows The relative frequency for each class.

A pie chart is a diagram that shows a data or a number result in the form of a circle.

A pie chart is a type of chart that displays data statistics in a circular graph resembling a circle shape.

Inside the pie chart there are several slices containing numeric variables and categorical variables that represent certain data.

Pie charts are more suitable for making comparisons if the data consists of various categories or groups.

The pie chart is divided into sections according to the data presented. The area of the sections is proportional to the central angle of the circle and the amount of data presented.

This diagram is quite often used as a tool to show data.

By using this, everyone will easily visualize data so that data will be understood much more easily.

There are three types of pie charts. The difference between the three types lies in the use of units to present data.

Given the wide use of pie charts, the presentation of the data can be done in various ways.

the following are types of pie charts:

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Answer:

C=$7.38

Step-by-step explanation:

$18.62 + c = $26.00

$26-$18.62=$7.38

c=$7.38

system of inequalities can be used to find the values of x and y are:

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Given, Rita deposited less than $1,000 into two accounts. One account paid 2.5% and the other account paid 2% annual interest. After 1 year, she earned at least $23 in interest from the two combined accounts.

Since,  x represent the amount of money Rita deposited at 2.5% and y represents the amount of money she deposited at 2%,

x = amount invested at 2.5%

y = amount invested at 2.0%

x + y = 1000

Since, After 1 year, she earned at least $23 in interest from the two combined accounts.

Thus,

0.025x + 0.020y > 23

Therefore, system of inequalities can be used to find the values of x and y are:

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Answer:

It is an improper proper fraction because the denominator (bottom number) is smaller than the numerator (top number).

To make a profit, Lisa must sell 59 cards on Friday

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

Sales that gives profit = at least 140 cards

Sales on Monday to Thursday = 15,7,14,45 cards

This means that

Friday = Sales that gives profit - Sales on Monday to Thursday

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

Friday = 140 - (15 + 7 + 14 + 45)

Evaluate

Friday = 59

Hence, the sales is 59

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Using simple unitary method and the provided conditions and values, The answer is he made 280 chicken all together.

The unitary method is a method used in mathematics to solve problems involving units of measurement. It involves expressing the units of measurement as a fraction or multiple of a single unit and then using this fraction or multiple to solve the problem. The method is particularly useful in solving problems involving conversions between different units of measurement. The unitary method is particularly useful in solving word problems where the conversion of units is required. It involves expressing the given information in terms of a single unit and then using that information to find the unknown quantity.

The unitary method is a useful tool for solving problems involving units of measurement, it simplifies the problem and improves understanding of conversions. It also helps to develop critical thinking skills and is a useful tool for problem-solving in a variety of subjects.

5 grilled chicken for 2 fried chicken.

5/2 grilled chicken for 1 fried chicken.

5/2 * 80 grilled chicken for 80 fried chicken.

200 grilled chicken for 80 fried chicken.

total = 200 +80 =280

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The inverse of the function f(x) = 4x - 2 is f⁻(x) = 4y - 2.

The function is a relationship between a set of potential outputs and a set of possible inputs, where each input has a single relationship with each output. This means that if an object x is present in the set of inputs (also known as the domain), then a function f will map that object to exactly one object f(x) in the set of potential outputs (called the co-domain).

Given:

f(x) = 4x - 2

Find the inverse as shown below,

The inverse of the function can be found by writing y in place of x as shown below,

f⁻(x) = 4y - 2

Thus, the inverse of the function is  4y - 2.

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