the energy E is possessed by a moving object that varies directly as the mass of m and the square of velocity V. when m= 8kg, v=5ms-1 and e =100 joules find e when m=6kg mol and v=2ms-1​

Mean time to failure (MTTF) of new rotors is 1952 hours, calculated as reciprocal of failure rate (12% per 235 hours).

What is rate ?

Rate is a measure of the change of a quantity per unit of time or per unit of another quantity. It can refer to various physical or abstract quantities, such as speed, velocity, frequency, interest rate, growth rate, etc. It is often expressed as a ratio or a fraction and has units specific to the quantity being measured.

The mean time to failure (MTTF) can be calculated as the reciprocal of the failure rate. The failure rate can be calculated as the number of failures per unit of operating time.

In this case, the failure rate is 12% per 235 hours, or 0.12 / 235 = 0.00051 failures per hour.

So, the MTTF would be:

MTTF = 1 / failure rate = 1 / 0.00051 = 1952 hours.

Mean time to failure (MTTF) of new rotors is 1952 hours, calculated as reciprocal of failure rate (12% per 235 hours).

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Mean time to failure (MTTF) of new rotors is 1952 hours, calculated as reciprocal of failure rate (12% per 235 hours).

Rate is a measure of the change of a quantity per unit of time or per unit of another quantity. It can refer to various physical or abstract quantities, such as speed, velocity, frequency, interest rate, growth rate, etc. It is often expressed as a ratio or a fraction and has units specific to the quantity being measured.

The mean time to failure (MTTF) can be calculated as the reciprocal of the failure rate. The failure rate can be calculated as the number of failures per unit of operating time.

In this case, the failure rate is 12% per 235 hours, or 0.12 / 235 = 0.00051 failures per hour.

So, the MTTF would be:

MTTF = 1 / failure rate = 1 / 0.00051 = 1952 hours.

Mean time to failure (MTTF) of new rotors is 1952 hours, calculated as reciprocal of failure rate (12% per 235 hours).

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dz/dr = (∂z/∂x) * cos(!) + (∂z/∂y) * sin(!) By applying the chain rule, we can calculate the derivative dz/dr.

The derivative of z with respect to r is given by the chain rule:

dz/dr = (∂z/∂x) * (∂x/∂r) + (∂z/∂y) * (∂y/∂r)

Where (∂z/∂x) and (∂z/∂y) are the partial derivatives of z with respect to x and y respectively, and (∂x/∂r) and (∂y/∂r) are the partial derivatives of x and y with respect to r.

Since x = r cos! and y = rsin!, we can substitute these values into the above equation to get:

dz/dr = (∂z/∂x) * cos(!) + (∂z/∂y) * sin(!)

Thus, by applying the chain rule, we can calculate the derivative dz/dr if we know the partial derivatives of z with respect to x and y.

dz/dr = (∂z/∂x) * cos(!) + (∂z/∂y) * sin(!) By applying the chain rule, we can calculate the derivative dz/dr if we know the partial derivatives of z with respect to x and y.

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Answer:

Convert from degrees to radians using the ratio

π

180.001989675

radians

The required second-degree polynomial in the given situation is f(x)=14x²+14x+8.

An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

Sums of terms of the form k-xⁿ, where k is any number and n is a positive integer, make up polynomials.

For instance, the polynomial 3x+2x-5. a description of polynomials.

So, we have:

p(2) = 14, p'(2) = 14, and p''(2) = 8

So, the equation would be in the form:

f(x) = ax² + bx + x

Now, insert values as follows:

f(x) = ax² + bx + x

f(x) = 14x² + 14x + 8

Therefore, the required second-degree polynomial in the given situation is f(x) = 14x² + 14x + 8.

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Answer: To find out how much Moira would have been paid after working for 18 weeks, we need to multiply her fortnightly pay by the number of fortnights in 18 weeks.

Since there are 26 fortnights in a year, 18 weeks is equivalent to 18/26 = 9/13 of a year.

So, Moira's total pay after 18 weeks would be:

891.60 * 9/13 = $584.40

So, Moira would have been paid $584.40 after working for 18 weeks.

Step-by-step explanation:

There are 720 positive four-digit integers that satisfy the condition of having no two consecutive digits being multiples of 3.

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4706 revolutions are made by the wheel over the course of 7 miles.

The wheel is a circular, therefore one revolution covers its entire circumference.

So, circumference C = d, where d is the wheel's diameter in inches, which is 30.

So, C = πd

= π × 30 in

= 30π in

= 94.25 in

Now that the tractor has traveled D = 7 miles, we need to determine how many revolutions the wheel completes.

As 1 mile equals 63360 inches,

D = 7 miles when converting miles to inches

= 7 × 1 mile

= 7 × 63360 in

= 443520 in

N = D/C is the number of revolutions the wheel completes in 7 kilometers.

= 443520 in/94.25

= 4705.89

To the nearest whole number, enter 4706.

Therefore, 4706 revolutions are made by the wheel over the course of 7 miles.

The Complete Question.

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For the quadratic function f(x) = 3x² - 8x + 2, the x-intercepts are x1 = (4 + √10) / 3 and x2 = (4 - √10) / 3.

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of second degree.

The given quadratic function is - f(x) = 3x² - 8x + 2.

The quadratic function is in the standard form ax² + bx + c = 0.

Here, a = 3, b = -8 and c = 2.

The x-intercepts can be found using the formula -

x1 = (-b + √Δ) / (2a)

x2 = (- b - √Δ) / (2a)

Here, Δ = b² - 4ac.

Substitute the values in the above equation -

Δ = b² - 4ac

Δ = (-8)² - 4(3)(2)

Δ = 64 - 24

Δ = 40

Now, substitute the value of Δ in the x-intercepts formula -

x1 = [-(-8) + √40) / [2(3)]                x2 = [-(-8) - √40) / [2(3)]

Open the brackets and use arithmetic operation of multiplication -

x1 = (8 + √40) / 6                          x2 = (8 - √40) / 6

Take out the common value -

x1 = (8 + 4√10) / 6                         x2 = (8 - 4√10) / 6

Use arithmetic operation of division -

x1 = (4 + √10) / 3                           x2 = (4 - √10) / 3    

Therefore, the x-intercepts are x1 = (4 + √10) / 3 and x2 = (4 - √10) / 3.

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Answer:

Step-by-step explanation:

yes

Answer:

x = 4 1/3

Step-by-step explanation:

To solve the equation 6x + 64 = 90, we must isolate the variable.

6x + 64 = 90

    -  64  - 64

6x = 26

/ 6   / 6

x = 4 1/3

Answer:

4.3333333 on going so a stop will be 4.3

Step-by-step explanation:

the total 90, minus 64 will give you 26, the divide 26 by 6 which will give you 4.33333

Answer:

(-2, 4/7)

Step-by-step explanation:

Ahh the wonderful world of substitution:

x = 7y - 6

x + 7y = 2

So, we need to find what x and y are. Since we know what x is equal to because of the first equation, we can plug that into the second equation:

7y - 6 + 7y = 2

Now let's solve this

14y - 6 = 2

       +6     +6

14y = 8

/14      /14

y = 4/7

Now that we know what y is equal to, we can plug this into the equation. I'll choose the first one, since it is much easier:

x = 7(4/7) - 6

x = 4 - 6

x = -2

Therefore, x is equal to -2 and y is equal to 4/7, final answer.

Hope this helps :D

You did not include enough information to figure out the answer!!

The unknown number is -9.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, the product of a number and -7 is 63.

Let the unknown number be x.

Now, -7×x=63

-7x=63

x= -9

Therefore, the unknown number is -9.

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Solving the provided question, we can say that The quadratic equation we have is -  [tex]p^2 + 2p - (q+1)(1-1)[/tex] => p = [tex]\sqrt{-2p}[/tex]

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

The quadratic equation we have is -

[tex]p^2 + 2p - (q+1)(1-1)[/tex]

[tex]p^2 + 2p - (q+1)*0[/tex]

[tex]p^2 + 2p = 0[/tex]

[tex]p^2 = -2p[/tex]

p = [tex]\sqrt{-2p}[/tex]

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The cost of the tiles and carpet will be $1,600 and $640, respectively.

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L × W square units

The area of the bedroom is given as,

A = (5 x 1/4 x 16) x (4 x 1/4 x 16)

A = 20 x 16

A = 320 square feet

A = 320 / 9

A = 35.56 square yards

Ceramic tile costs $5 per square foot. Then the cost of tiles is given as,

⇒ 320 x 5

⇒ $1,600

The carpet costs $18 per square yard. Then the cost of the carpet is given as,

⇒ 35.56 x 18

⇒ $640

The cost of the tiles and carpet will be $1,600 and $640, respectively.

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Define the terms mentioned above:

Experimental terms refer to the set of procedures used to conduct a scientific investigation. These terms include experimental design, data collection, interpretation of results, discussion of theoretical models, and formulation of hypotheses.

These terms are used to describe the research process, from the selection of the topic to the publication of the results. Experimental terms are also used to describe the methods of analysis of the data collected, such as linear regression and analysis of variance.

Define the following terms: ​(a) Experimental unit ​ (d) Factor ​(b) Treatment ​(e) Placebo ​(c) Response variable ​(f) Confounding

(a) Define experimental unit:

A. The quantitative or qualitative variable for which the experimenter wishes to determine how its value is affected by the explanatory variable

B. A​ person, object, or some other​ well-defined item upon which a treatment is applied

C. Any combination of the values of the factors​ (explanatory variables)

D. An innocuous​ medication, such as a sugar​ tablet, that​ looks, tastes, and smells like the experimental medication

​(b) Define treatment:

A. The quantitative or qualitative variable for which the experimenter wishes to determine how its value is affected by the explanatory variable

B. The number of individuals in the experiment

C. Any combination of the values of the factors​ (explanatory variables)

Your answer is correct.

D. A controlled study to determine the effect varying one or more explanatory variables or factors has on a response variable

​

(c) Define response variable:

A. An innocuous​ medication, such as a sugar​ tablet, that​ looks, tastes, and smells like the experimental medication

B. The variable whose effect on the response variable is to be assessed by the experimenter

C. The effect of two factors​ (explanatory variables on the response​ variable) cannot be distinguished.

D. The quantitative or qualitative variable for which the experimenter wishes to determine how its value is affected by the explanatory variable

​

(d) Define factor:

A. A variable whose effect on the response variable is to be assessed by the experimenter

Your answer is correct.

B. Grouping together similar experimental units

C. An innocuous​ medication, such as a sugar​ tablet, that​ looks, tastes, and smells like the experimental medication

D. A controlled study to determine the effect varying one or more explanatory variables or factors has on a response variable

​

(e) Define placebo:

A. A controlled study to determine the effect varying one or more explanatory variables or factors has on a response variable

B. Grouping together similar experimental units

C. An innocuous​ medication, such as a sugar​ tablet, that​ looks, tastes, and smells like the experimental medication

D. Using treatments on many experimental units

​

(f) Define confounding:

A. The effect of two factors​ (explanatory variables on the response​ variable) cannot be distinguished.

B. Using treatments on many experimental units

C. Grouping together similar experimental units

D. A controlled study to determine the effect varying one or more explanatory variables or factors has on a response variable

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Answer:

14+2(3x-1) dived by 2 = 16

Step-by-step explanation:

Answer:

3,x+13 all you have to do is simplify

Answer:

C!

Step-by-step explanation:

the sides all have the same ratio

8/12 = 10/15 = 14/21 = 2/3

From the question, we can conclude that the survey produced the following results.

Employed Full Time, Yes doctor = 70

Employed Full Time, No doctor = 15

Employed Part Time, Yes doctor = 25

Employed Part-Time, No doctor = 25

The question states that there are:-

135 adults

85 fully employed, which also means that there are

135 - 85 = 50 part employed

Full employed, 70 = yes doctor

Part employed, 25 = yes doctor

From the above, we can subtract that

Full employed = 85

Yes doctor = 70

No doctor = 85 - 70 = 15

Part employed = 50

Yes doctor = 25

No doctor = 50 - 25 = 25

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Rounding to the nearest hundred dollars, the amount Mason needs to invest is $144,000.

To determine the amount Mason needs to invest, you can use the formula for compound interest:

A = P * (1 + r/n)^(nt)

Where:

A = final amount

P = initial investment (principal)

r = annual interest rate (5.3%)

n = number of times interest is compounded per year (quarterly = 4 times)

t = number of years

Setting A = 205,000 and solving for P:

205,000 = P * (1 + 0.053/4)^(4 * 14)

P = 205,000 / (1 + 0.053/4)^(4 * 14)

Rounding to the nearest hundred dollars, the amount Mason needs to invest is $144,000.

The information provided is about calculating the initial investment (or principal) that Mason needs to make in an account paying an interest rate of 5.3% compounded quarterly, in order to reach a target amount of $205,000 in 14 years. The calculation uses the formula for compound interest, which takes into account the initial investment, the interest rate, the number of times the interest is compounded in a year, and the number of years the investment will grow.

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Answer:

100

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The sum of the first 2k – 1 consecutive odd numbers is (2k – 1)^2.

The formula for the sum of the first n consecutive odd numbers is n^2. This can be proven by induction.

Let n = 2k – 1.

Base case: When k = 1, then n = 2k – 1 = 1. The sum of the first 1 consecutive odd numbers is 1^2 = 1.

Inductive step: Assume that for some k = p, the sum of the first 2p – 1 consecutive odd numbers is (2p – 1)^2.

Now, consider the case when k = p + 1. The sum of the first 2(p + 1) – 1 consecutive odd numbers is:

(2p – 1)^2 + (2p + 1) + (2p + 3) + … + (4p + 1).

This can be written as (2p – 1)^2 + 2(1 + 2 + … + (p + 1)) (2p + 1).

By the sum of an arithmetic sequence, the expression in the parentheses is equal to (p + 1)(2p + 2).

Therefore, the sum of the first 2(p + 1) – 1 consecutive odd numbers is (2p – 1)^2 + 2(p + 1)(2p + 2).

Simplifying, this is equal to (2p + 1)^2.

Therefore, the statement holds for k = p + 1, and by induction, it holds for all positive integers k.

Therefore, the sum of the first 2k – 1 consecutive odd numbers is (2k – 1)^2.

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Answer:

a. y = 10x

b. 1000 minutes of 16 2/3 hours

Step-by-step explanation:

a.

30 gal / 3 min = 10 gal/min

65 gal / 6.5 min = 10 gal/min

The relation is a direct proportion.

y = kx

The filling rate is the slope which is also the constant of proportionality.

The equation is

y = 10x

b.

y = 10x

10,000 = 10x

x = 10,000/10

x = 1000

The time is 1000 minutes, or 16 2/3 hours.

The probability that a professional would accept the promotion is 0.7435.

The total row represents the sum of the probabilities of each event for all the categories, and in this case, the probability of accepting the promotion is the sum of the probabilities of accepting the promotion for each category, which is 0.276 + 0.3145 + 0.1530 = 0.7435.

This means that if we randomly select a professional, there is a 0.7435, or 74.35%, chance that they would accept the promotion. The probability is calculated by taking the sum of the probabilities for each category that corresponds to accepting the promotion and dividing it by the total number of professionals surveyed.

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Answer: Your mom?

Step-by-step explanation: Your mom?

a) The time for the battery to be 40% charged is given as follows: 48 minutes.

b) The charge in 1 hour and 48 minutes is given as follows: 90%.

A direct proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

The constant for this problem is given as follows:

k = 10/12 = 30/36 = 5/6.

Hence the equation is given as follows:

y = 5x/6.

The battery will be 40% charged when y = 40, hence:

5x/6 = 40

5x = 40 x 6

5x = 240

x = 240/5

x = 48 minutes.

1 hours and 48 minutes is equivalent to 108 minutes, hence the charge is given as follows:

y = 5 x 108/6

y = 90%.

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The probability of drawing a red marble is 2/10 or 1/5.

To determine this:

The probability of drawing a red marble is 2/10 or 1/5. This means that if we randomly select one marble from the jar, there is a 1 in 5 chance that it will be red.

The probability of an event is calculated by dividing the number of favorable outcomes by the number of possible outcomes. For example, if you flip a fair coin, the probability of getting heads is 1/2 because there are two possible outcomes (heads or tails) and only one of them is favorable (heads).

Probability is an important concept in statistics and mathematics, and it is widely used in many areas such as insurance, finance, and scientific research.

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The probability of drawing a red marble is 2/10 or 1/5.

To determine this:

The probability of drawing a red marble is 2/10 or 1/5. This means that if we randomly select one marble from the jar, there is a 1 in 5 chance that it will be red.

The probability of an event is calculated by dividing the number of favorable outcomes by the number of possible outcomes. For example, if you flip a fair coin, the probability of getting heads is 1/2 because there are two possible outcomes (heads or tails) and only one of them is favorable (heads).

Probability is an important concept in statistics and mathematics, and it is widely used in many areas such as insurance, finance, and scientific research.

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The given statement is correct. If a matrix A is invertible, then it means that it has a unique inverse.

What is the identity matrix?

The identity matrix is a square matrix with 1's on the main diagonal and 0's everywhere else. It is denoted as I. The identity matrix has the property that for any square matrix A, the product of A and I is equal to A itself, so I serve as a sort of "do-nothing" matrix.

Yes, this is correct. If a matrix A is invertible, then it means that it has a unique inverse. This implies that the columns of A are linearly independent, as they form a basis for the space. A row equivalent matrix to the identity matrix (A∼I) will have one pivot in each column, indicating that the columns are linearly independent.

Hence, the given statement is correct. If a matrix A is invertible, then it means that it has a unique inverse.

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Answer= 6 and 7/y6 this will be the correct answer