slove for the variable 2(y - 5) = 5y + 23

To evaluate \(8^{\frac{2}{3} }\) first find the square of 8 and then take the cube root.

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

Depending on the powers they possess, many rules of exponents are given.

Law of Multiplication: Exponents should be added while keeping the base constant when multiplying like bases.

Exponents should be multiplied while bases are kept constant when bases are raised by a power of two or more.

Division Rule: When dividing like bases, maintain the base constant and deduct the exponent of the denominator from the exponent of the numerator.

The given value can be written as:

\(8^{\frac{2}{3} } = \sqrt[3]{8^{2} }\)

Hence, to evaluate \(8^{\frac{2}{3} }\) first find the square of 8 and then take the cube root.

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Answer:

3.56

Step-by-step explanation:

The fraction must equal 1 when simplified because 6.93 times 1= 6.93

Because 4.21 is found on both top and bottom, they get eliminated. So only 3.56 is left.

Hope this helps! :)

\(y = - 3x^{2} + 18x + 10 \\ \frac{d}{dx}( - 3x^{2} + 18x + 10) \\ - 6x + 18 = 0 \\ - 6x = - 18 \\ x = 3\)

The axis of symmetry for parabola is x = 3.

Using derivative to solve for axis od symmetry is easier.

The correct answer is option a. $7,594.46.

To calculate the amount you would reduce the amount you owe in the first year, we can use the formula for the equal installment of a loan. The formula is:

Installment = Principal / Number of Installments + (Principal - Total Repaid) * Interest Rate

In this case, the principal is $45,000, the number of installments is 5, and the interest rate is 8.5%.

Let's calculate the amount you would reduce the amount you owe in the first year:

Installment = $45,000 / 5 + ($45,000 - $0) * 0.085Installment = $9,000 + $3,825

Installment = $12,825

Therefore, you would reduce the amount you owe by $12,825 in the first year.The correct answer is option a. $7,594.46.

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The equation, where p represents the jacket's original price, and the equation's solution is A. 1.08(0.8p - 5) = 46.44. The original price of the jacket was $60.00.

An equation is a mathematical statement showing that two mathematical expressions are equivalent or equal.

Equations are depicted using the equation symbol (=).

The total cost paid by Brian = $46.44

The discount on offer = 20%

Amount after the initial discount = 0.8p (1 - 20%)

Additional coupon = $5

Amount after the additional coupon = 0.8p - 5

Total discount = 20% + $5

Sales tax = 8%

Amount paid after the sales tax = (0.8p - 5)(1.08)

Original price = p

p = $60

1.08(0.8p - 5) = 46.44

1.08(0.8 x 60 - 5) = 46.44

1.08(43) = 46.44

46.44 = 46.44

Thus, Option A is correct.

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Answer:

answer should be in the image :)

Answer:

  see the attachment

Step-by-step explanation:

You want graphs of f(x -5) and f(x)+2 and their asymptotes, given exponential function f(x).

The subtraction of 5 from the argument x causes the graph to be shifted to the right 5 units. The horizontal asymptote at y=0 is unchanged.

The addition of 2 to every function value causes the graph to be shifted up 2 units. The horizontal asymptote is likewise shifted up 2 units to y=2.

The red and blue graphs are attached. The asymptotes are dashed lines.

\(Answer:\)

range 23

subtract lowest number from greatest number.

ignore any inconsistent or other numbers.

Answer:

21

Step-by-step explanation:

29-8=21

Answer:

Step-by-step explanation:

As,

0.16

= 16/100

= 4/25. [Taking common factor 4 from both 16 and 100]

Answer:

Step-by-step explanation:

same thing cant see

Let's solve for x by factoring this quadratic equation.

We first need to determine which two numbers multiply to -28 (c) but add to 3 (b).

The two numbers that multiply to -28 and add to 3 are 7 and -4.

Therefore, we can factor this equation like so:

Now, we can set this equation to 0 and solve for x.

If we look at each factor individually, we can determine the values of x:

Subtract 7 from both sides of the equation.

Now, let's look at the other factor:

Add 3 to both sides of the equation.

The solution of x^2 + 3x - 28 is x = -7, x = 4.

Answer:

y = (5/9)x + 2

Step-by-step explanation:

Slope intercept form is

y = mx + b then plug in the values

y = (5/9)x + 2

Answer:

41

Step-by-step explanation:

Let x be the smallest integer

x+x+2+x+4=117

3x+6=117

3x=111

x=37

The three integers are 37, 39 and 41

The mean weight of 7 grapefruits will be 7 pounds and the standard deviation will be 0.84 pounds.

The mean weight of R will be 3 pounds and the standard deviation will be 0.36 pounds.

The mean weight of Q will be 4 pounds and the standard deviation will be 0.48 pounds.

a. The mean and standard deviation of 7 grapefruits will be 7 times the mean and standard deviation of a single grapefruit, respectively.

b. If G represents the weight of a single grapefruit, then

R = G + G + G

= 3G.

The mean and standard deviation of R will therefore be 3 times the mean and standard deviation of a single grapefruit, respectively.

c. If T represents the total weight of all 7 grapefruits, then

Q = T - R

= 7G - 3G

= 4G.

The mean and standard deviation of Q will be 4 times the mean and standard deviation of a single grapefruit, respectively.

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Answer:

measure of angle is E is 45 degrees besausw if you look closely then it is a

45,45,90, Triangle and so E is 45 degrees

measure of c = 360-45+79+134 = 102 ° degrees

a) The cost of the stereo system is $4,760.

b) The total amount of interest paid is $1,760.

To find the cost of the stereo system, we need to calculate the sum of the down payment and the total of monthly payments over 4 years. The down payment is $400, and the monthly payment is $90 for 48 months (4 years). Thus, the total cost of the stereo system is $400 + ($90 × 48) = $4,760.

To calculate the total amount of interest paid, we need to subtract the initial principal amount (down payment) from the total cost of the stereo system. The initial principal amount is $400, and the total cost is $4,760. Therefore, the total interest paid is $4,760 - $400 = $1,760.

In summary, the cost of the stereo system is $4,760, and the total amount of interest paid is $1,760.

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\(\textsf{Hey there!}\)

\(\mathsf{\dfrac{4}{25} - \dfrac{-1}{2}}\)

\(\textsf{Cross\ multiply and you should see what the result comes}\)

\(\mathsf{New\ equation: \dfrac{8}{50} + \dfrac{-25}{50}}\)

\(\mathsf{8 - 25 = -17\leftarrow \text{\bf{{NUMERATOR}}}}\)

\(\mathsf{50 + 0 = 50\leftarrow \text{\bf{DENOMINATOR}}}\)

\(\boxed{\boxed{{\boxed{\textsf{Therefore, your answer is most likely: \boxed{\boxed{{\huge{\mathsf{\bf{\dfrac{-17}{50}}}}}}}}}}}}}\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\dfrac{\frak{LoveYourselfFirst}}{:)}\)

Given the distance covered by a jet in the air, and the distance covered with the jetstream, we have to find the rate of the jet in still air, and the rate of the jetstream.

Let the rate of the jet in still air be x, and the rate of the jetstream be y. Since the jet travels 1128 miles against the jetstream in 2 hours, we have:
1128 = (x - y) × 2 ---------------- (1)
Similarly, since the jet travels 1368 miles with the jetstream in 2 hours, we have:
1368 = (x + y) × 2 ---------------- (2)
Now, we need to solve these two equations to find the values of x and y. Let's first solve equation (1) for y:
y = x/2 - 564
Plugging in this value of y in equation (2), we get:
1368 = (x + x/2 - 564) × 21368 = (3x/2 - 564) × 21368 = 3x/2 × 2 - 564 × 2
Simplifying, we get:2736 = 3x - 1128
Solving for x, we get:
x = 1288Therefore, the rate of the jet in still air is 1288 mph. Plugging this value of x in equation (1), we get:
y = 1288/2 - 564y = 60
Therefore, the rate of the jetstream is 60 mph. Hence, the required values are:x = 1288 mph and y = 60 mph.

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Answer:

$40.50

Step-by-step explanation:

90 divided by 20 is 4.5. then you multiply that times 9 and that's your answer.  

Answer:

Chord

Step-by-step explanation:

Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.

Answer:

\(4 \frac{1}{5} - \frac{3}{7} \\ =4 + \frac{1}{5} - \frac{3}{7} \\ = \frac{21}{5} - \frac{3}{7} \\ \frac{147 - 15}{35} \\ = \frac{132}{35}

=3 27/35 \\ thank \: you\)

132/35

Step-by-step explanation:

\(4 \frac{1}{5} - \frac{3}{7} \\ \frac{21}{5} - \frac{3}{7} \\ lcm = 35 \\ \frac{21 \times 7}{5 \times 7} - \frac{3 \times 5}{7 \times 5} \\ \frac{147}{35} - \frac{15}{35} \\ = \frac{132}{35} \\ \)

Answer:

0.1

Step-by-step explanation:

Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator

Mia's error in her thinking was that she interchanged the coordinate of both the x- and y-axis. Also, the point would actually be located at (5, 8).

In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate would change from positive to negative. Therefore, a reflection across the x-axis is given by this transformation rule:

(x, y)                   →               (x, -y)

In Geometry, a reflection across the y-axis of a graph is given by this transformation rule (x, y) → (-x, y).

(x, y)                   →               (-x, y)

(-5, -8)                   →            (5, -8)

Next, we would apply another reflection across the x-axis of a graph as follows:

(x, y)                   →               (x, -y)

(5, -8)                   →            (5, 8)

In conclusion, we can logically deduce that Mia was wrong in her calculations.

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Answer:

Сильные:

Упорный, нацеленый на результат

Уверен в себе

Трудолюбивый

Общительный

Организованный

Самостоятельный

Дисциплинированный

Слабые:

Излишне стеснительный

Чрезмерно эмоциональный

Раздражительный и даже агрессивный

Не обладающий силой воли

Не умеющий вовремя промолчать

Гиперактивный

Принципиальный

The normal vector, f, to the surface of the inner conductor is a unit vector in the radial direction, pointing away from the conductor.

a. The normal vector, f, to the surface of the inner conductor is a unit vector in the radial direction, pointing away from the conductor.

b. The boundary condition at the surface of the conductor (medium 2) is that the normal component of the electric field is equal to the surface charge density.

c. The boundary condition in the dielectric (medium 1) is that the tangential component of the electric field is equal to zero.

d. The surface charge density, Ps, at the surface of the conducting cylinder is P.

The complete question is:

An infinitely long conducting cylinder of radius a (medium 2) has a surface charge density P. The cylinder is surrounded by a dielectric (Er = 4, medium 1) that contains no free charges (that is to say p = 0 inside the dielectric). Defining 2 as the axis of the conducting cylinder, the electric field, E, inside the dielectric medium (whenra) is found as: E = Er*sin(θ)/r.

a. What is the normal vector, f, to the surface of the inner conductor?

b. What is the boundary condition at the surface of the conductor (medium 2)?

c. What is the boundary condition in the dielectric (medium 1)?

d. What is the surface charge density, Ps, at the surface of the conducting cylinder?

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Why the heck did my answer get deleted??

ANYWAYS

the answer is (2, 12)

the explanation is that you would add the x value to the y value. for example (x, y) + (2x, 3y) would equal (3x, 4y) because you add the x and  y values.

2x - 3y = 6​

subtract 2x form both sides of the equation:

2x-3y-2x= 6-2x

-3y= 6-2x

Divide both sides by -3

-3y/-3= (6-2x)/-3

y= -2+2/3x

Answer:

r^2+3r-4

Step-by-step explanation:

combine like terms:

2r+r

vvvv

3r+r^2-4

rearrange terms:

r^2+3r-4