8x+15 =2 (4x)
im on a test please help

Answer:

Step-by-step explanation:

Equation for line of slope -6 that passes through (0,-2):

y+2 = -6(x-0)

y = -6x - 2

Plug in (g,-8) and solve for g:

-8 = -6g - 2

g = 1

Answer:

15

Step-by-step explanation:

Answer:

Step-by-step explanation:

(3/2)x - 2  

hope it helps

Answer:

12

Step-by-step explanation:

The figure is a right triangle with hypotenuse = QS

The  base from the graph = 4 units
(or you can just subtract the x-coordinates 2 - (-2) = 4)

The height from the graph is 3 units
(Or you can subtract the y-coordinates: 1 - (-2) = 3)

Since this is a right triangle the square of the hypotenuse = sum of squares of the other two sides

QS² = 3² + 4² = 9 + 16 = 25

QS, the hypotenuse = √25 = 5

The perimeter = sum of the sides = 3 + 4 + 5 = 12 units

Answer:

4 inches

Step-by-step explanation:

a parallelogram's area is represented by the equation l * h where l is the length and h is the height

the length is 10 the height is h and area is 40 so we can do this

10h = 40

h = 4

Answer:

4 inches

\(10h = 40 \\ \\ h = \frac{40}{10} \\ \\ h = 4 \: inches\)

Answer:

226

Step-by-step explanation:

6³ + 5(4 - 2)
= 216 + 5(2)

= 216 + 10

= 226

Hope this helps!

Answer:

answer is 347.6

Step-by-step explanation:

21/7300= 347.6

The speed of the car associated with a braking distance of 12 feet is approximately equal to 14.697 miles per hour.

In this problem we find a radical equation that describes the speed (s), in miles per hour, and the braking distance (d), in miles. If we know that d = 12 ft, then the initial speed of the car is:

s = √(18 · d)

s = √[18 · (12)]

s = 6√6 ft

s ≈ 14.697 mi / h

The initial speed of the car is approximately 14.697 miles per hour.

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The system of linear equations that can be solved from the matrices is given as follows:

Considering that the row [3, -6] is common to matrices Ax and Ay, the matrix A is given as follows:

A = [-5 4; -8 1]

Hence the multiplication of matrices representing the system is given as follows:

[-5 4; -8 1][x; y] = [3; -6]

Applying the multiplication of matrices, the system of equations is given as follows:

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Answer:

The answer is 12.

Step-by-step explanation:

It's just 4 + 8.

Since Emi tried on 8 fewer costumes than Nikil, you just have to add the number of costumes Emi tried on by 8.

Jade and Juliette 44.7days  more days to complete their trip.

To calculate how many more days Jade and Juliette need to ride, we can use the equation:

Total distance = Distance on first day + Distance on second day + Distance on remaining days

We know the first and second day distances, and the daily distance for the remaining days, so we can substitute those values in the equation:

2878 = 45.4 + 56.3 + 62x

where x is the number of remaining days they need to ride.

Simplifying the equation:

2878 - 101.7 = 62x

2776.3 = 62x

Dividing both sides of the equation by 62

x = 44.7

hence, Jade and Juliette need to ride for 44.7 more days to complete their trip.

Answer:

312.5

Step-by-step explanation:

P=5000

r=12.5%=0.125

t=6month=0.5years

I=P•r•t

I=(5000)(0.125)(0.5)

I =$312.5

The present value of the annuity is approximately `7032.08. The correct answer is option (d) None of these.

To find the present value of an annuity, we can use the formula:

PV = PMT * (1 - (1 + r)^(-n)) / r

Where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.

In this case, the periodic payment is `200, the interest rate is 5% (or 0.05) converted quarterly, and the number of periods is 10 years, which equals 40 quarters.

Plugging in these values into the formula, we get:

PV = 200 * (1 - (1 + 0.05)^(-40)) / 0.05

Simplifying the equation, we find:

PV ≈ 200 * (1 - 0.12198) / 0.05

PV ≈ 200 * 0.87802 / 0.05

PV ≈ 35160.4 / 0.05

PV ≈ 7032.08

Therefore, the present value of the annuity is approximately `7032.08.

None of the provided answer options (a), (b), or (c) match this result. The correct answer is (d) None of these.

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Answer:

c) inversely

Step-by-step explanation:

In Mathematics an inverse relationship can be defined as a relationship between two variables, in which an increase in the value of one variable leads to a decrease in the value of the other variable i.e as the value of one variable becomes large, the value of the other variable becomes small.

Mathematically, an inverse relationship is given by the formula;

A = K/B

Where;

A and B are the variables.

K is the constant of proportionality.

Hence, if an increase in one quantity brings about a corresponding decrease in the other and vice versa, then the two quantities vary inversely.

Complete Question

Suppose that the random variable X represents the length of a punched part in

centimeters. Let Y be the length of the part in millimeters. If E(X) = 5 and V(X) = 0.25,

what are the mean and variance of Y?

Answer:

The mean

\(E(Y) =50 mm\)

The variance

\(V(Y) = 25 mm\)

Step-by-step explanation:

From the question we are told that  

   Length in cm is  X

   Length in mm is Y

  Generally  10 mm  =  1 cm

So

    \(Y = 10 X\)

Hence the expected mean of Y is  

  \(E(Y) = E (10 X)\)

=>    \(E(Y) = 10 E(X)\)

From the question \(E(X) = 5\)

So

      \(E(Y) = 10 * 5\)

=> \(E(Y) =50 mm\)

Gnerally the variance of  X is  

      \(V(X) = E [X^2] -E[X]^2\)

From the question we are told that \(V(X) = 0.25\)

=> \(0.25 = E [X^2] -E[X]^2\)

Gnerally the variance of Y

    \(V(Y) = E [Y^2] -E[Y]^2\)

=> \(V(Y) = E [10X^2] -E[X]^2\)

=> \(V(Y) = 10^2[ E [X^2] -E[X]^2]\)

=> \(V(Y) = 10^2* V(X)\)

=> \(V(Y) = 10^2* 0.25\)

=> \(V(Y) = 25 mm\)

Therefore , the solution of the given problem of function comes out to be  (1+x²) yₙ₊₂ + (2nx+2x-1) yₙ₊₁ + n.

All of the subjects, including actual and fictitious locales and arithmetic variable design, will be covered in the midterm exam questions. a schematic illustrating the connections between various components that work together to produce the same outcome. A service is made up of many unique parts that work together to produce unique outcomes for each input. Every postbox has a specific location that could serve as a refuge.

Here,

=>  (fg)[kequals0 to n]n(x) = (n choose k) f(n-k)(x) and gk(x)

Firstly, separating the two parts according to x

=>  1+(1+x2) = 1/y * dy/dx

=>  dy/dx = y/(1+x2)

=>  d^2y/dx² = (1/(1+x^2)) 2x*y/(1+x2)2 - dy/dx

=>  y₂ = (1/(1+x^2)) * y₁ - 2x*y/(1+x²)²

=>  dx/dy = (2x/(1+x2)2) * dy/dx - 2/(1+x^2) * 6x*y/(1+x+2)3 + d2y/dx2 +

=> y₃ = (2x/(1+x^2)²) * y₁ - (2/(1+x²)) * y₂ + (6x/(1+x²)³) * y

=>  y₄ = (2x/(1+x²)²) * y₂ + ((6-8x²)/(1+x²)³) * y₁ + (24x/(1+x²)⁴) * y

(a) When the equation for y2 is simplified, we get:

=>  y₂ = (1-x²) y/(1+x²)²

=>  y₁ = - (2x-1)/(1+x²) * y/(1-x²)

=>  (1-x²) y₂ + (2x-1) y₁ = 0

(b) When we condense the equation for y4, we obtain:

=>  y₄ = (2x/(1+x²)²) * ((1-x²) y/(1+x²)²) + ((6-8x^2)/(1+x²)³) * (- (2x-1)/(1+x²) * y/(1-x²)) + (24x/(1+x^2)⁴) * y

=>  (1+x²) y₆ + (6x+2) y₅ + 3(3x²+1) y₄ = 0

We can further simplify this equation by using the values of y4 and y6 that we previously determined to arrive at:

=> (1+x²) yₙ₊₂ + (2nx+2x-1) yₙ₊₁ + n

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P Q P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q

T T T T T F F F F F T    T

F T T F F T T T T T F    F

P F T F F T T T T T F     F

-P T T F F T T T T T F     F

-Q T T T T F T F F F T     T

-P V -Q T T F F T T T T T F

-P -> Q T T F F T T T T T F

-P -> -Q T T F F T T T T T F

P <-> Q T T T T F T T T T F

Here is a more detailed explanation of how I filled out the table:

P | Q : This column is simply the truth value of P and Q. If P and Q are both true, then the entry in this column is T. If P is true and Q is false, then the entry in this column is F. If P is false and Q is true, then the entry in this column is F. And if P and Q are both false, then the entry in this column is T.

P V Q : This column is the truth value of P or Q. If P is true, then the entry in this column is T. If Q is true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P ^ Q : This column is the truth value of P and Q. If P and Q are both true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P -> Q : This column is the truth value of P implies Q. If P is true and Q is false, then the entry in this column is F. And if P is false or Q is true, then the entry in this column is T.

-P : This column is the negation of P. If P is true, then the entry in this column is F. And if P is false, then the entry in this column is T.

-Q : This column is the negation of Q. If Q is true, then the entry in this column is F. And if Q is false, then the entry in this column is T.

-P V -Q : This column is the truth value of not P or not Q. If P and Q are both true, then the entry in this column is F. If P and Q are both false, then the entry in this column is T. And if P or Q is true, then the entry in this column is T.

-P -> Q : This column is the truth value of not P implies Q. If P is true and Q is false, then the entry in this column is T. And if P is false or Q is true, then the entry in this column is F.

-P -> -Q : This column is the truth value of not P implies not Q. If P and Q are both true, then the entry in this column is T. If P is false or Q is false, then the entry in this column is T. And if P is true and Q is true, then the entry in this column is F.

P <-> Q : This column is the truth value of P if and only if Q. If P and Q are both true or P and Q are both false, then the entry in this column is T. And if P and Q have different truth values, then the entry in this column is F.

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Answer:

h = 2.12 , c = 6.93

Step-by-step explanation:

To calculate h:

Apply the cosine identity

\(cos\ x =\frac{base}{hypotenuse}\\\\cos\ 45=\frac{h}{3}\\\\0.707=\frac{h}{3}\\\\h=3(0.707)\\h=2.12\\\)

To calculate c:

Apply the tangent identity

\(tan\ x=\frac{perpendicular}{base}\\\\tan\ 60=\frac{c}{4}\\\\1.732=\frac{c}{4}\\\\c=1.732(4)\\c=6.93\\\)

Answer: A

because slope are

Answer:

The volume in terms of π is 144 ft³

The volume rounded to the nearest tenth is 452.4 ft³

Step-by-step explanation:

The formula of the volume of a cone is V =  π r² h , where r is its radius and h is its height

The formula of the area of a circle is A = π r²

The area of the base of the cone is 36π ft²

Equate the formula of the area of the circle by 36π to find r

πr² = 36π

Divide both sides by π

r² = 36

Take √ to both sides

r = 6 ft

The height of the cone is equal to twice the radius

The radius of the cone is 6 ft

Multiply 6 by 2 to find the height

h = 2(6) = 12 ft

The height of the cone is 12 ft

Subsitute the values of h and r in the formula of the volume of the cone to find it

V =  π(6)²(12)

V = 144 π ft³

V = 452.3893421 ft³

Round it to the nearest tenth

V = 452.4 ft³

Answer:

5 =x

Step-by-step explanation:

10(x-1)-7x=x

Distribute

10x-10-7x = x

Combine like terms

3x-10 =x

Subtract 3x from each side

3x-10-3x = x-3x

-10 = -2x

Divide each side by -2

-10/-2 = -2x/-2

5 =x

Answer:

(a) The average baggage-related revenue per passenger is $15.70.

(b) The standard deviation of baggage-related revenue is $19.95.

(c) The expected revenue for 120 passengers is $1,884.

Step-by-step explanation:

Let the random variable X represent the baggage-related revenue per passenger.

It is provided that the baggage fees is $25 for the first bag and $35 for the second.

The probability model is:

    X :   0         25      60

P (X) : 0.54    0.34    0.12

(a)

Compute the average baggage-related revenue per passenger as follows:

\(E(X)=\sum {X\times P (X)}\)

         \(=(0\times 0.54)+(25\times 0.34)+(60\times 0.12)\\\\=0+8.50+7.20\\\\=15.70\)

Thus, the average baggage-related revenue per passenger is $15.70.

(b)

Compute the standard deviation of baggage-related revenue as follows:

\(E (X^{2})=\sum X^{2}\times P(X)}\\\\=(0^{2}\times 0.54)+(25^{2}\times 0.34)+(60^{2}\times 0.12)\\\\=0+212.50+432\\\\=644.5\\\)

\(SD(X)=\sqrt{E(X^{2})-(E(X))^{2}}\)

           \(=\sqrt{644.5-(15.7)^{2}}\\\\=19.950188\\\\\approx 19.95\)

Thus, the standard deviation of baggage-related revenue is $19.95.

(c)

Compute the expected revenue for 120 passengers as follows:

\(E(R)=n\times E(X)\)

        \(=120\times 15.7\\\\=1884\)

Thus, the expected revenue for 120 passengers is $1,884.

Answer:

146°

Step-by-step explanation:

You're given an angle, where the vertex is the center of a circle. This makes the angle's rays two radii of the circle. You are then given the length of 1/360th of the circle, which is .51cm, which is also 1 degree of the circle.

If the arc of the circle between the angle's rays is 74.46 cm. It becomes a division problem:

\(\frac{74.46 cm}{.51 cm}\)

After the division, the fraction simplifies to 146, which is 146 segments of .51cm in the arc, and since .51cm is equivalent to 1 degree of the circle, the arc is 146 degrees.

Answer:

b=17

Step-by-step explanation:

b=(45+6)/3

b=51/3

b=17

she bought 17 books since the original price of evereything was 51 dollars before the discount of 6 dollars.

Answer: (1/6)^2

Step-by-step explanation:

Answer:

The third answer is correct

Step-by-step explanation:

Use the properties of degrees:

1)

\( {( \frac{1}{108} })^{3} = \frac{ {1}^{3} }{ {108}^{3} } = \frac{1}{6561} \)

\( \frac{1}{6561} ≠ \frac{1}{36} \)

.

2)

\( ({ \frac{1}{9} })^{3} = \frac{ {1}^{3} }{ {9}^{3} } = \frac{1}{729} \)

\( \frac{1}{729} ≠ \frac{1}{36} \)

.

3)

\( ({ \frac{1}{6} })^{2} = \frac{ {1}^{2} }{ {6}^{2} } = \frac{1}{36} \)

\( \frac{1}{36} = \frac{1}{36} \)

Heather's tax liability increases from $15000 when her income $40000, marginal tax rate is 80%.

The marginal tax rate is the rate you pay on a dollar of extra income. This method of taxation, known as progressive taxation, is designed to tax individuals according to their income, with low-income people being taxed at a lower rate than high-income people.

Under marginal tax rates, taxpayers are generally divided into brackets or tax brackets, which determine the tax rate applicable to the taxpayer's taxable income. As income increases, the last dollar earned will be taxed at a higher rate than the first dollar earned.

According to the Question:

Heather's tax liability Increases from $15000

And, income increases from $40000

Marginal tax rate = $15000/$40000 × 100%

                            = $ 0.4 × 100%

                            = 40%

Therefore, Her marginal tax rate is 40%.

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Answer: a

Step-by-step explanation:

Answer: The experiment is blinded because the volunteers in both groups are unaware of which dog food they received.

The statement which is correct about the experiment given to both volunteers is "The experiment is blinded because the volunteers in both groups are unaware of which dog food they received".

An experiment refers to a test under controlled conditions made to either demonstrate a known truth, examine the validity of a hypothesis or determine the efficacy of something previously untried.

The experiment is blinded to the two volunteer groups because the supply of dog food given to both groups is unlabeled and they are both unaware of the food supply which contains the omega-3 oils.

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