find the equation of a straight line passing through the point (0,-1) which is perpendicular to the line y=-3/4x-3

Answer:

86

Step-by-step explanation:

We can set the first digit as (10x+y)

We can interchange it to be (10y+x)

X is the second digit and Y is the first.

1) (10x+y) +(10y+x) =154

2) 11x+11y=154

3) 11(x+y) =154

4) x+y=14

5) x+x+2=14

6) 2x=12

7) x=6

8) y=6+2=8 , so y =8

The slope of the tangent line to the witch of Agnesi graph at the point (2, 1) can be found by taking the derivative of the equation and evaluating it at the given point. The slope is 1/2 .

The equation of the witch of Agnesi curve is given by (x^2 + 4)y = 8. To find the slope of the tangent line at a specific point on the curve, we need to take the derivative of the equation with respect to x.
Differentiating the equation implicitly, we get:
2xy + (x^2 + 4)dy/dx = 0.
To find the slope of the tangent line at a particular point, we substitute the x and y coordinates of that point into the derivative expression. In this case, we substitute x = 2 and y = 1:
2(2)(1) + (2^2 + 4)dy/dx = 0.
Simplifying the equation, we have:
4 + (4 + 4)dy/dx = 0,
8dy/dx = -4,
dy/dx = -4/8,
dy/dx = -1/2.
Therefore, the slope of the tangent line to the witch of Agnesi graph at the point (2, 1) is -1/2, or equivalently, -0.5.

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(a) The probability that a randomly selected policyholder lives more than 80 years is approximately 0.3106.  (b) Given that a male policyholder just turned 80, the probability that he will live for at least three more years is approximately 0.6166.

(a) To find the probability that a randomly selected policyholder lives more than 80 years, we need to calculate the cumulative probability of survival beyond 80 for both males and females separately, and then weigh them based on the gender distribution.

For males: Using the normal distribution with mean 75 and standard deviation 8, we find the probability of survival beyond 80 is approximately 0.3446.

For females: Using the normal distribution with mean 78 and standard deviation 6, we find the probability of survival beyond 80 is approximately 0.2847.

The weighted probability for a randomly selected policyholder is (0.60 * 0.3446) + (0.40 * 0.2847) = 0.3106.

(b) Given that a male policyholder just turned 80 years old today, we can use conditional probability to calculate the likelihood of him living for at least three more years.

Using the normal distribution with mean 75 and standard deviation 8, the probability of survival beyond 83 (80 + 3) is approximately 0.8621.

Therefore, the probability that a male policyholder, who just turned 80, will live for at least three more years is 0.8621.

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Answer:

1:3.7

Step-by-step explanation:

1331/27

Then cube root

3.66666666667

Round

3.7

(i believe)

There are 10 common characteristics attributed to servant leadership: active listening, empathy, healing, awareness, persuasion, conceptualization, foresight, stewardship, commitment to the growth of people, and community-building.

A Scrum Master is a servant-leader whose focus is on the needs of the team members and those they serve (the customer), with the goal of achieving results in line with the organization's values, principles, and business objectives.

1.  Active listening: Active listening is the practice of preparing to listen, observing what verbal and non-verbal messages are being sent.

2.  Empathy:  the ability to understand and share the feelings of another.

3.  Healing:  the process of making or becoming sound or healthy again.

4.  Awareness:  knowledge or perception of a situation or fact.

5.  Persuasion:  A belief or set of beliefs, especially religious or political ones.

6.  Conceptualization:  The action or process of forming a concept or idea of something.

7. Foresight: The ability to predict or the action of predicting what will happen or be needed in the future.

8. stewardship: The job of supervising or taking care of something, such as an organization or property.

9. Commitment: The state or quality of being dedicated to a cause, activity, etc.

10. Community-building: Community building is a field of practices directed toward the creation or enhancement of community among individuals within a regional area or with a common need or interest.

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Answer:

T2 = 3/2 , T5 = 1/12. , a = ?.

Tn = a.r^(n-1).

T2 = a.r^(2–1) = 3/2. or, r= 3/2a. …………………(1).

T5 = a.r^(5–1) = 1/12. or, a.r^4 = 1/12…………. (2).

Putting r = 3/2a from eqn.(1). to eqn.(2).

a.(3/2a)^4 = 1/12.

or, a.(81/16a^4) = 1/12.

or, 81/16a^3 = 1/12.

or, 16a^3 = 81×12.

or, a^3 = (81×12)/16 = {(3^3×3^2)/2^2}^1/3.

or, a = 3.(3/2)^(2/3) . , Answer.

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Answer:

x = 17

Step-by-step explanation:

Since the triangle has 2 congruent legs then it is isosceles and the 2 base angles are congruent , that is

4x - 34 = x + 17 ( subtract x from both sides )

3x - 34 = 17 ( add 34 to both sides )

3x = 51 ( divide both sides by 3 )

x = 17

Answer:

44 cards

Step-by-step explanation:

In a standard deck of 52 cards, there are 4 suits each of which has 13 cards.  Since we are finding the minimum value to be fully guaranteed of drawing five spades we can assume the scenario as follows:

If the first 39 cards picked are the complete full suits of hearts, diamonds, and clubs, then we know that the next 13 are spades. Since we have to find at least five spades we add 5 cards to the 39 to get our answer of 44 cards to be absolutely guaranteed.

The solution of the algebraic equation is 37/2

An algebraic equation is a statement that says that two algebraic expressions are equal. For example, the equation 3x + 2 = 6x

The algebraic expression 4/(x-4) -3/(x²-16) = 6/(x+4)

To solve this algebraic equation, you need to find the value of x.

4/(x-4) -3/(x²-16) = 6/(x+4)

4/(x-4) -3/(x-4)(x+4) = 6/(x+4)

The LCM of (x-4) and (x-4)(x+4) is (x-4)(x+4):

(4(x+4) -3)/(x-4)(x+4) = 6/(x+4)

(4x+16 -3)/(x-4)(x+4) = 6/(x+4)

4x+13/(x-4)(x+4) = 6/(x+4)

Multiply both sides by (x+4):

4x+13/(x-4) = 6

4x+13 = 6(x-4)

4x+13 = 6x-24

6x-4x = 13+24

2x = 37

x = 37/2

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The two quantities to be inversely proportional to each other  when one quantity's value rises relative to another's decline or vice versa

What is Proportionality?

The two sequences of numbers are proportional or directly proportional if the ratio between the corresponding elements of two sequences of numbers, typically experimental data, is constant and is known as the coefficient of proportionality constant.

When one quantity's value increases relative to another's drop or vice versa, they are said to be inversely proportionate. It suggests that the two quantities have different fundamental behaviors. For instance, there is an inverse relationship between time and speed.

As you increase the speed, the time gets shorter. Other names for this type of percentage in this context include reciprocal proportion, inverse proportion, oscillating inversely, and inverse variation. The expression for X and Y, two variables having inverse proportions, is;

x 1/y or x y-1

As a result, when one quantity's value increases in comparison to another's decrease or vice versa, the two values are said to be inversely proportional to one another.

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Answer:

x = 7

Step-by-step explanation:

The diagonals of a rectangle are congruent , so

BD = AC , that is

7x - 18 = 5x - 4 ( subtract 5x from both sides )

2x - 18 = - 4 ( add 18 to both sides )

2x = 14 ( divide both sides by 2 )

x = 7

The equation of the line is y + 7 = 1/5(x + 4)

Linear equations are equations that have constant average rates of change.

The given parameters are

Slope, m = 1/5

Point (x, y) = (-4, -7)

A linear equation is represented as

y = m(x - x₁) + y₁

Where

Slope, m = 1/5

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

Substitute the known values in the above equation

So, we have the following equation

y = 1/5(x + 4) - 7

Add 7 to both sides

So, we have

y + 7 = 1/5(x + 4)

Hence. the linear equation is y + 7 = 1/5(x + 4)

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The amount the firm needs to deposit in the account now is 9,640.11. Given that the company has purchased a life truck with a useful life of 5 years, the maintenance costs for the truck during the first year are 2,000.

Also, maintenance costs are expected to increase at a rate of 300 per year over the remaining life, which is for four years. Assume that the maintenance costs occur at the end of each year.

The future maintenance costs for the truck can be calculated as shown below:

Year 1:\($2,000Year 2: $2,300Year 3: $2,600Year 4: $2,900Year 5: $3,200\)The maintenance account that earns 10% interest per year has to be set up, and all future maintenance expenses will be paid out of this account. The future value of the maintenance costs, i.e., the amount that the firm needs to deposit now to earn 10% interest and pay the maintenance costs over the next four years is given by:

\(PV = [C/(1 + i)] + [C/(1 + i)²] + [C/(1 + i)³] + [C/(1 + i)⁴] + [(C + FV)/(1 + i)⁵]\),where PV is the present value of the future maintenance costs, C is the annual maintenance cost, i is the interest rate per year, FV is the future value of the maintenance costs at the end of year 5, which is $3,200, and 5 is the total number of years, which is

5.Substituting the given values in the above equation:

\(PV = [2,000/(1 + 0.1)] + [2,300/(1 + 0.1)²] + [2,600/(1 + 0.1)³] + [2,900/(1 + 0.1)⁴] + [(3,200 + 3,200)/(1 + 0.1)⁵] = 9,640.11\)Therefore, the firm needs to deposit 9,640.11 in the account now. Hence, option (A) is the correct answer.

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Answer:

8

Step-by-step explanation:

Answer:

3/5 carrot juice for 1 cup apple juice and 2 cups of fruit juice

Have a great day

The input and the output of a function are key components in understanding how a function operates. The input refers to the value or values that are given to the function as an argument, while the output refers to the result or results that the function returns after processing the input.

In other words, the input is what you provide to the function, and the output is what you get in return. The input can be a single value or a set of values, depending on the requirements of the function. The output can also be a single value or a collection of values, again depending on the function's purpose.

It's important to note that the input and output of a function are not always the same. The function may perform calculations or transformations on the input, and the output may be different from the input. This transformation is what gives functions their ability to perform specific tasks and solve problems.

In summary, the input is what you give to a function, and the output is what you get in return after the function processes the input.

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Answer:

100 km/h

Step-by-step explanation:

Distance = Speed * Time

Let x be the distance:

x = 80 * 5

x = 400 km

400 / 4 = 100 km/h

Please mark as brainliest

Answer:

a or b

Step-by-step explanation:

The probability of randomly selecting a nickel from the bag is 5/11 or approximately 0.45 (rounded to two decimal places).

To find the probability of randomly selecting a nickel, we need to first determine the total number of coins in the bag.

The bag contains:

2 quarters

1 dime

5 nickels

3 pennies

So the total number of coins in the bag is:

2 + 1 + 5 + 3 = 11

Now, the probability of selecting a nickel can be calculated as follows:

Number of nickels in the bag = 5

Total number of coins in the bag = 11

So, the probability of selecting a nickel is: 5/11

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The total number of hours Josh worked during the week is 44.7 hours.

We first need to calculate his regular pay by dividing his weekly gross earnings by his hourly rate:

$487.29 / $10.95 = 44.7 hours

Since the company pays time-and-a-half for any hours worked exceeding 40 in one week, we need to determine if Josh worked more than 40 hours during the week. If he did, we'll calculate his overtime pay by multiplying his regular pay by 1.5.

If Josh worked 44.7 hours, then he worked 44.7 - 40 = 4.7 hours of overtime.

His overtime pay would be 4.7 hours * $10.95 * 1.5 = $81.48

His regular pay would be 40 hours * $10.95 = $438.00

So his total weekly pay would be $438.00 + $81.48 = $519.48

The total number of hours Josh worked during the week is 44.7 hours.

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Answer:

The percent is 25% shaded and 75% not shaded.

Step-by-step explanation:

The answer is FALSE. The likelihood of discovering a substantial difference between treatments does not increase with any factor that makes treatments more variable.

In experiments, you create situations where several treatments (such a are used in order to investigate the impact of an independent variation.

Every participant in a between-subjects or between-groups design only experiences one condition, and group differences between participants in various conditions are compared. In contrast, no participant in a within-subjects design is exposed to every condition.

As a result, the likelihood of discovering a substantial difference between treatments is not increased by factors that enhance variation within treatments.

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De acuerdo con la información, podemos inferir que los triángulos se deben colocar como se muestra en la imagen para que formen una figura de 9 triángulos.

Para organizar los triángulos debemos tener en cuenta la condición principal de que los vértices que se toquen tengan el mismo símbolo. Una vez tenemos esto claro debemos observar cada un de los triángulos cuidadosamente para identificar cuál es el sinbolo que más se repite. Esto será una pista para tomarlo como punto de partida en la zona central del triángulo. Allí podemos acomodar seis triángulos que tengan el mismo símbolo. Posteriormente debemos ver los símbolos de los demás vértices para ubicar los demás triángulos, es decir las esquinas.

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Answer:

x = 1

Step-by-step explanation:

\(\frac{2}{3}\) (9x - 6) = \(\frac{1}{4}\) (12 - 4x) ← distribute parenthesis on both sides

6x - 4 = 3 - x ( add x to both sides )

7x - 4 = 3 ( add 4 to both sides )

7x = 7 ( divide both sides by 7 )

x = 1

Step-by-step explanation:

the answer is 8

5-(-1-2)

5-(-3)

5+3

=8

Answer:

6 is the Value of the Expression.

Step-by-step explanation:

4 a⁴ - 2 b² + 40 :

4 * ( 2⁴) - 2 * ( 7²) + 40 =

4 * 16 - 2 * 49 + 40 =

64 - 98 + 40 =

-34 + 40 =

+ 6

Hopefully this helps.

Answer:

1

Step-by-step explanation:

PODMAS:-

16-3(8-3)²/5

=16-3(5)²/5

=16-3(25)/5

=16-3(5)

=16-15

= 1

Answer:

65

Step-by-step explanation:

=> \(\frac{16-3(8-3)^2}{5}\)

=> \(\frac{13(5)^2}{5}\)

=> \(\frac{13(25)}{5}\)

=> 13 × 5

=> 65

Answer:

A

Step-by-step explanation:

Rosa started with d amount of drawings. After selling 17, she has 22 left. So the equation is d-17=22. 17+22=39, so d must equal 39.