How do i graph x+y=6 ?

Answer:

k = 0.5

Step-by-step explanation:

Given a varies directly with x² then the equation relating them is

a = kx² ( k is the constant of variation )

To find k use the condition a = 8 when x = 4 , then

8 = k × 4² = 16k ( divide both sides by 16 )

0.5 = k

In the given scenario, we can calculate the probability of all six individuals surveyed owning a tablet using the binomial probability formula. Additionally, we can determine the mean and standard deviation of the number of individuals who own a tablet using the formulas: mean (μ) = n * p and standard deviation (σ) = √(n * p * (1-p)). C.

The probability that of the next six 18- to 29-year-olds surveyed, all six will own a tablet can be calculated using the binomial probability formula. Since each individual has a certain probability of owning a tablet, we can calculate the probability of success (p) for each trial and use the formula to find the probability of all six trials being successful.

D. The mean and standard deviation of the number of 18- to 29-year-olds who will own a tablet in a survey of six can also be determined using the binomial distribution. The mean (μ) of a binomial distribution is calculated by multiplying the number of trials (n) by the probability of success (p). The standard deviation (σ) is found using the formula √(n * p * (1-p)).

C. To find the probability that all six 18- to 29-year-olds surveyed will own a tablet, we can use the binomial probability formula. Each individual has a certain probability of owning a tablet, and we want to find the probability of all six trials being successful. The formula for calculating the probability of exactly k successes in n trials is given by P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where (n choose k) represents the binomial coefficient. In this case, k=6, and p represents the probability of owning a tablet for an individual in this age group.

D. The mean (μ) of a binomial distribution is the expected number of successes in a given number of trials. For this scenario, we multiply the number of trials (n) by the probability of success (p) to find the mean. In this case, n=6 represents the number of individuals surveyed, and p is the probability of owning a tablet for an individual.

The standard deviation (σ) of a binomial distribution measures the spread or variability of the distribution. It is determined using the formula √(n * p * (1-p)). The standard deviation indicates how much the individual values in the distribution deviate from the mean.

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Answer:

x = 6

Step-by-step explanation:

s = 6

t = 4

x = 4 + s - t

Substituting s and t in equation,

x = 4 + 6 - 4

x = 6

Answer:

6

Step-by-step explanation:

s=6

t=4

x= 4+6-4

x=10-4

x=6

Therefore; the final result is 6

Answer:

---------------------------

The given point (0, 5) represents the y-intercept and we have a slope of -1.

It translates as:

By substituting we get equation:

This is option C.

Answer:

1) 2 1/4 inches (2.25)

2) 5.3 millimeters

3) X=10 and YZ=60

Step-by-step explanation:

Number 1, you just add the measurements because n and q is the start and end of the line segment.

Number 2, you are given the whole measurement, and you know FG which is 9.7, so you subtract the 15 (whole measurement) by 9.7, which is 5.3.

Number 3, you know that XY and YZ equal XZ, so 8x+1 would equal 81. Do the math, you would get 8x=80 and then x=8. Now you know x, plug it in for 6x, so 6(10)=60.

Considering the sum and the product of the roots of the quadratic equation, it is found that the numeric value of the expression is given as follows:

\(\alpha + \beta = -2.5\)

A quadratic equation is defined as follows:

\(y = ax^2 + bx + c, a \neq 0\)

The roots of the equation are given as follows:

\(\alpha, \beta\)

The sum of the roots is given as follows:

\(\alpha + \beta = -\frac{b}{a}\)

The product of the roots is given as follows:

\(\alpha\beta = \frac{c}{a}\)

In the context of this problem, the product is of 4, as \(\alpha\beta = 4\) hence:

c/a = 4

c = 4a.

The coefficients are in an arithmetic progression, hence:

We have that c = 4a, hence:

4a = a + 2d

2d = 3a

d = 1.5a.

Hence coefficient b is calculated as follows:

b = a + d = a + 1.5a = 2.5a.

Then the sum of the roots is given as follows:

\(\alpha + \beta = -\frac{b}{a} = -\frac{2.5a}{a} = -2.5\)

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Answer:

∠1=∠9=43°,  ∠2=∠7= 17°,  ∠4=∠5=∠6=60°, ∠3=∠8=120°

Step-by-step explanation:

Given ABC is an isosceles triangle and DBE is an equilateral triangle. we have to find each missing measure.

In triangle ABC,

∠1=∠9    (∵isosceles triangle)

⇒ 4x+3=9x-47

⇒ 9x-4x=3+47 ⇒ 5x=50 ⇒ x=10

Hence, ∠9=∠1=(4x+3)°=4(10)+3=43°

Also, given ΔBDE is an equilateral triangle, and all angle of equilateral triangle are equal.

∴ ∠4+∠5+∠6=180°

⇒ ∠4+∠4+∠4=180° ⇒ 3∠4 = 180° ⇒ ∠4 = 60°

∴ ∠4=∠5=∠6=60°

By exterior angle property, ∠3=∠5+∠6=60°+60°=120°

                                            ∠8=∠5+∠4=60°+60°=120°

In ΔABD, ∠1+∠2+∠3=180°

            ⇒ 43°+120°+∠2=180°⇒ ∠2 = 17°

In ΔABD, ∠9+∠8+∠7=180°

            ⇒ 43°+120°+∠7=180°⇒ ∠7= 17°

Step-by-step explanation:

The equation that represents the given scenario is 35 + 0.45d = 63.80

The linear equation is a mathematical statement that is solved for an unknown value. The linear equation is straight in a graph where the variable will represent an unknown value in the given problem.

To find the required equation, first calculated the charge according to the given problem and form the linear equation using the given variable.

Here we have

Cam will be charged a flat fee of $35.00 plus $0.45 for each day of storage.

If Cam stores her possessions for d days then the charge = $ 0.45d

After adding the fee the total charge will be $ 35 + $ 0.45d  

Given that the total charge is $63.80

From the above calculations,

=> $ 35 + $ 0.45d  = $ 63.80

=> 35 + 0.45d = 63.80

Therefore,

The equation that represents the given scenario is 35 + 0.45d = 63.80

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ANSWER

• 60 feet

• The point is ,(60, 1)

EXPLANATION

As said, x is depth in feet, and f(x) represents the percentage of surface sunlight that reaches a depth of x feet. We have to find the value of x for which f(x) = 1,

Divide both sides by 16,

Take logarithm to both sides to apply the rule of the logarithm of power on the right side,

Divide both sides by log(0.955),

In the graph this is,

To determine the number of gallons of paint needed to cover office 143, we need to know the square footage of the office.

Once we have that information, we can divide the square footage by the coverage rate per gallon to calculate the required amount of paint.

Let's assume the square footage of office 143 is 800 square feet.

Number of gallons needed = Square footage / Coverage rate per gallon

Number of gallons needed = 800 square feet / 50 square feet per gallon

Number of gallons needed = 16 gallons

Therefore, you would need approximately 16 gallons of paint to cover office 143, assuming each gallon covers 50 square feet.

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The cartesian equation for the curve given by r = 9 tan(θ) sec(θ) is:

y = x(sec(x))^2, where x = θ - π/2.

The given polar equation can be simplified using the trigonometric identity for tangent and secant:

r = 9 tan(θ) sec(θ)

r = 9 sin(θ) / cos(θ) * 1 / cos(θ)

r = 9 sin(θ) / cos^2(θ)

Converting to cartesian coordinates using r^2 = x^2 + y^2 and x = r cos(θ), y = r sin(θ), we get:

(x^2 + y^2) = 81 y / x^2

Multiplying both sides by x^2, we get:

x^2 + y^2 = 81y / x^2 * x^2

x^2y^2 + x^4 - 81y = 0

Substituting x = θ - π/2, we get:

(y / (θ - π/2))^2 + (y / (θ - π/2))^4 - 81y = 0

Simplifying this expression gives us the cartesian equation for the curve:

y = x(sec(x))^2, where x = θ - π/2.

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Answer:

See below

Step-by-step explanation:

You can always plug in x's and solve for y.

Answer:

x=6/5

Step-by-step explanation:

5x+12=18→ 5x=18-12

5x=6 divide

x=6/5

Answer:

x=6/5

Step-by-step explanation:

(5x+12)=18

5x+12=18

5x=18-12

5x=6

x=6/5

When two variables are inversely proportional we can represent them in the following manner:

Where "a" would be the constant of proportionality. In the case of our problem the y is inversely proportional to the square of "x", this means that the correct expression is:

We need to find the value of "a", to do that we will apply the ordered pair which was given to us (17,8).

Therefore the expression to this problem is:

We want to find the value of "y" when "x" is equal to 14, therefore:

The value of "y" is 11.8

The probability that the athlete has actually been using the prohibited drug given that they tested positive is approximately 0.5789 or 57.89%.

To solve this problem, we can use Bayes' theorem, which relates the conditional probabilities of two events.

Let A be the event that the athlete has been using the prohibited drug, and let B be the event that the athlete tests positive.

We want to find the probability of A given B, which we can write as P(A | B).

Using Bayes' theorem, we have:

P(A | B) = P(B | A) * \(\frac{P(A) }{P(B)}\)

where P(B | A) is the probability of testing positive given that the athlete has been using the prohibited drug, P(A) is the prior probability of the athlete using the prohibited drug, and P(B) is the overall probability of testing positive, which can be calculated using the law of total probability:

P(B) = P(B | A) * P(A) + P(B | not A) * P(not A)

where P(B | not A) is the probability of testing positive given that the athlete has not been using the prohibited drug, and P(not A) is the complement of P(A), i.e., the probability that the athlete has not been using the prohibited drug.

Using the given information, we can plug in the values:

P(B | A) = 1 - 0.12 = 0.88 (probability of testing positive given the athlete is using the drug)

P(A) = 0.05 (prior probability of the athlete using the drug)

P(B | not A) = 0.04 (probability of testing positive given the athlete is not using the drug)

P(not A) = 1 - P(A) = 0.95 (probability that the athlete is not using the drug)

Then, we can calculate P(B) as:

P(B) = P(B | A) * P(A) + P(B | not A) * P(not A)

= 0.88 * 0.05 + 0.04 * 0.95

= 0.076

Finally, we can calculate P(A | B) as:

P(A | B) = P(B | A) * \(\frac{P(A) }{ P(B)}\)

= 0.88 * \(\frac{0.05 }{ 0.076}\)

= 0.5789

Therefore, the probability that the athlete has actually been using the prohibited drug given that they tested positive is approximately 0.5789 or 57.89%.

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Answer: He OLD! XD

.

.

.

.

Answer:

0.28

Step-by-step explanation:

To know the probability we first need to know the total number of choices for each character in the license plate. Since there are a total of 10 possible numbers (0-9) and 26 letters in the English Alphabet. Then this means that each character has a total of 36 possible choices. Out of these 36 only 10 are numbers, therefore the probability of the first character being a number is

\(\frac{10}{36}\) or 0.2777

If we rounded the decimal to the nearest hundredth it would be 0.28

Answer:

The correct answer is 0.28

Para la estudiantes de Español:

La respuesta correcta es 0.28

Step-by-step explanation:

Write 0.28 as the answer! It's correct.

Escribe 0.28 para la respuesta. Es correcto.

Answer:

y = 0.625x+3.625

Step-by-step explanation:

Answer: approx 109 yards (109.36133 yards)

Step-by-step explanation:

1 meter = 1.0936133 yards

100 x 1.0936133 = 109.36133 yards

approx 109 yds

The angle of elevation of the sun to the nearest hundredth of a degree is 66.83°.

Since we are giving with the height of the building which is 34.98 feet and the length of the shadow which is 38.85 feet long. , so we can use the trigonometric ratios, where we  know that about tan, that is:

angle = arctan (length of the shadow/height of the building )

=>angle = arctan (38.85/34.98)

=> angle = arctan (1.1056)  

=> angle = 66.83°

so,it is the angle of elevation of the sun.

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Answer:

its d and c

Step-by-step explanation:

Answer:

translation left,

dialation with center C

Step-by-step explanation:

The condensation reaction of an ester refers to the reaction where an ester molecule is formed by the condensation of an alcohol and an acid, typically a carboxylic acid. The arrangement of correct component to build the condensation reaction of an ester is HOH + HA → H + ester.

To build the condensation reaction of an ester, the correct arrangement of components is as follows:

So the correct arrangement is: HOH + HA → H + ester

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Answer:

33

Step-by-step explanation:

The difference between two consecutive odd integers is 2.

Let the smallest odd integer be x.

The next greater odd integer is x + 2.

The next greater odd integer is 2 more than the second one, so it is

x + 2 + 2 = x + 4.

The 3 odd integers are x, x + 2, x + 4.

Add them and set the sum equal to 105. Then solve for x.

x + x + 2 + x + 4 = 105

3x + 6 = 105

3x = 99

x = 33

Answer: The smallest of the 3 integers is 33.

Answer:

The 9 ounce box is the better deal, and Kyle will save 2 cents.

Step-by-step explanation:

First, you should find how much 1 once would cost in the 9 ounce box.

Do 2.52 ÷ 9 = x

x = 0.28

This means that in the 9 ounce box, one ounce costs 28 cents.

Now, find how much one once would cost in the 12 ounce box.

3.60 ÷ 12 = x

x = 0.30

This means that in the 12 ounce box, one ounce costs 30 cents.

This means that the 9 ounce box is a better deal, because it costs less per ounce.

0.30 - 0.28 = 0.02. This means there is a 2 cent difference in their prices per ounce.

So, Kyle should choose the 9 ounce box, and he will save 2 cents per box.

The density of glycerin at 60°C is approximately 19.9592 g/cm³.

To find the density of glycerin at 60°C, we can use the volume expansion coefficient and the given density at 20°C.

The formula for volume expansion is:

ΔV = β * V₀ * ΔT

where:

ΔV is the change in volume,

β is the volume expansion coefficient,

V₀ is the initial volume, and

ΔT is the change in temperature.

In this case, we want to find the change in density, so we can rewrite the formula as:

Δρ = -β * ρ₀ * ΔT

where:

Δρ is the change in density,

β is the volume expansion coefficient,

ρ₀ is the initial density, and

ΔT is the change in temperature.

Given:

ρ₀ = 20 g/cm³ (density at 20°C)

β = 5.1 x 10⁻⁴ °C⁻¹ (volume expansion coefficient)

ΔT = 60°C - 20°C = 40°C (change in temperature)

Substituting the values into the formula, we have:

Δρ = - (5.1 x 10⁻⁴ °C⁻¹) * (20 g/cm³) * (40°C)

Calculating the expression:

Δρ = - (5.1 x 10⁻⁴) * (20) * (40) g/cm³

≈ - 0.0408 g/cm³

To find the density at 60°C, we add the change in density to the initial density:

ρ = ρ₀ + Δρ

= 20 g/cm³ + (-0.0408 g/cm³)

≈ 19.9592 g/cm³

Therefore, the density of glycerin at 60°C is approximately 19.9592 g/cm³.

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Answer: No, absolutely not,

Step-by-step explanation: 6x2 = 12, so you have to multiply by 2 on each side. 1x2=2, so the equivilent ratio is 12:2!

Answer: Nope

Step-by-step explanation: No, because you can see they multiply 1 x 3 to get to 3, but if you multiply 6 x 3, it equals 18, not 12. (6 x 2 = 12) but they have to have the same denominator and numerator to be equivalent. Therefore, no, they are not equivalent.

Answer:

see explanation

Step-by-step explanation:

Given d = - 3 and a₄ = 17

To obtain terms before a₄ , then do the opposite and add 3 , that is

a₃ = a₄ + 3 = 17 + 3 = 20

a₂ = a₃ + 3 = 20 + 3 = 23

a₁ = a₂ + 3 = 23 + 3 = 26

Then arithmetic sequence is

26, 23, 20, 17, ...........

Answer:

take out the a with an equation

The solution of x is y+4b/9a for equation y=9ax-4b

Two or more expressions with an Equal sign is called as Equation.

The given equation is y=9ax-4b

y equal to nine times of  and x minus four times of b.

We need to solve for x

Add 4b on both sides

y+4b=9ax-4b+4b

y+4b=9ax

Divide both sides by 9a to separate x on RHS

y+4b/9a=x

Hence the solution of x is y+4b/9a for equation y=9ax-4b

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Answer:

A.) The function is Nonlinear

Step-by-step explanation:

a function is a bunch of ordered pairs of things (in our case the things will be numbers, but they can be otherwise), with the property that the first members of the pairs are all different from one another. A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type. It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x equals 2. Functions are used because of following reasons – a) To improve the readability of code. b) Improves the reusability of the code, same function can be used in any program rather than writing the same code from scratch. c) Debugging of the code would be easier if you use functions, as errors are easy to be traced. In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathematicians, and many other scientists because most systems are inherently nonlinear in nature. Material nonlinearity involves the nonlinear behavior of a material based on a current deformation, deformation history, rate of deformation, temperature, pressure, and so on. Examples of nonlinear material models are large strain (visco) elasto-plasticity and hyperelasticity (rubber and plastic materials). also nonlinear. adjective. If you describe something as non-linear, you mean that it does not progress or develop smoothly from one stage to the next in a logical way. Instead, it makes sudden changes, or seems to develop in different directions at the same time.

Example: Solve the linear equation 3x+9 = 2x + 18.

Example: Solve the nonlinear equation x+2y = 1 and x = y.