julian needs to spend at least 7 hours each week practicing the drums. he has already practiced hours this week. he wants to split the remaining practice time evenly between the last 2 days of the week. write an inequality to determine the minimum number of hours he needs to practice on each of the 2 days.

Step-by-step explanation:

hope u understand the process is shown in the picture.

The sum of the first 35 terms will be 3885.

The sequence in which every next number is the addition of the constant quantity in the series is termed as the arithmetic progression

A number series is a number-based sequence. In the number series questions, we must identify the rules that lead to the formation of a number series.

Given that the series is 9, 15, 21, ..., The 35th term of the sequence will be calculated as,

Sn = n /2 [ ( 2a + ( n - 1 ) d]

Sn = 35 / 2 [ ( 2 x 9 + ( 35 - 1 ) 6)]

Sn = 35 /2 { 18 + ( 34 x 6 ) ]

Sn = 35 / 2 x 222

Sn = 3885

Hence, the sum of the 35 terms of the series will be 3885.

To know more about an arithmetic progression follow

https://brainly.com/question/24295771

#SPJ2

Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

For such more questions on Power Sets Examples for Sets

https://brainly.com/question/33026825

#SPJ8

Answer:

Gay.

Step-by-step explanation:

I means gay, some people just refer to that but most commonly known as 'gay'.

A Gallup poll asked 1200 randomly chosen adults what they think the ideal number of children for a family is. Of this sample, 53% stated that they thought 2 children is the ideal number. Construct and interpret a 95% confidence interval for the proportion of all US adults that think 2 children is the ideal number.

Answer:

at 95% Confidence interval level: 0.501776   < p < 0.558224

Step-by-step explanation:

sample size n = 1200

population proportion \(\hat p\)= 53% - 0.53

At 95% confidence interval level;

level of significance ∝ = 1 - 0.95

level of significance ∝ = 0.05

The critical value for \(z_{\alpha/2} = z _{0.05/2}\)

the critical value \(z _{0.025}= 1.96\) from the standard normal z tables

The standard error S.E for the population proportion can be computed as follows:

\(S,E = \sqrt{\dfrac{\hat p \times (1-\hat p)}{n}}\)

\(S,E = \sqrt{\dfrac{0.53 \times (1-0.53)}{1200}}\)

\(S,E = \sqrt{\dfrac{0.53 \times (0.47)}{1200}}\)

\(S,E = \sqrt{\dfrac{0.2491}{1200}}\)

\(S,E = 0.0144\)

Margin of Error E= \(z_{\alpha/2} \times S.E\)

Margin of Error E= 1.96 × 0.0144

Margin of Error E= 0.028224

Given that the confidence interval for the proportion  is  95%

The lower and the upper limit for this study is as follows:

Lower limit: \(\hat p - E\)

Lower limit: 0.53 - 0.028224

Lower limit: 0.501776

Upper limit: \(\hat p + E\)

Upper limit: 0.53 + 0.028224

Upper limit: 0.558224

Therefore at 95% Confidence interval level: 0.501776   < p < 0.558224

To duplicate angle ABC, draw a line segment, position the compass on point A, and then draw an arc that intersects the line segment. Next, position the compass on point B, and then draw a second arc that intersects the first arc at a point on the line segment. Finally, position the compass on the point where the two arcs intersect, but without changing the width, and draw a third arc that intersects the line segment.

When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the term "angle" originates.

Common instruments used to measure angles are:

1. Protractor

2.Compass

3.Digital Angle finder

4.Angle finder

5.Clinometer

6. Inclinometer

You can take the following actions to copy angle ABC:

Create a line segment that will serve as the foundation for the new angle you're going to create.

Draw an arc that crosses the line segment you produced in step 1 by positioning the compass on point A.

Draw a second arc that crosses the previous arc at a point on the line segment by setting the compass on point B.

Place the compass on the intersection of the two arcs without adjusting the compass's width, then create another arc that crosses the line segment.

Point D is where the second arc crosses the line segment. To finish the new angle, join points D and C.

To learn more about angles visit:

https://brainly.com/question/29128584

#SPJ4

Answer:

\( \boxed {\frac{2}{3}} \)

Step-by-step explanation:

The two rectangles are similar and the scale factor is \( \boxed {\frac{2}{3}} \)

Answer:

y=6

Step-by-step explanation:

75-3.5y-4y=4y+6

combine like terms)

75+(-3.5y-4y)=4y+6

75-7.5y=4y+6

add 4y to each side to combine the terms) 75+(-7.5y-4y)=6

75-11.5y=6

subtract 75 from each side to isolate the variable) -11.5y=-69

divide by -11.5 to isolate the variable) -11.5y/-11.5=-69/-11.5

y=6

Answer:

there isn't enough info

Step-by-step explanation:

..................

The volume of the pyramid can be calculated using the formula V = (1/3) * base area * height.

Given that the base is a square with a perimeter of 18.1 ft, we can find the length of each side of the square by dividing the perimeter by 4. Therefore, each side of the square base measures 4.525 ft.

The base area can be found by squaring the length of each side, which is (4.525 ft)^2 = 20.50625 sq. ft.

Plugging in the values into the volume formula, we have V = (1/3) * 20.50625 sq. ft. * 28.1 ft.

Evaluating this expression, the volume of the pyramid is approximately 193.1 cubic feet.

To find the volume of a pyramid, we need to know the base area and the height.

In this case, since the base is a square, we first find the length of each side by dividing the perimeter by 4.

Then, we can calculate the base area by squaring the length of each side. With the base area and the given height, we use the volume formula V = (1/3) * base area * height to determine the volume of the pyramid. By substituting the values and performing the calculations, we find that the volume of the pyramid is approximately 193.1 cubic feet.

Learn more about pyramid here: brainly.com/question/13057463

#SPJ11

Answer:

75

Step-by-step explanation:

Answer:

3x3 - 18×2 + 24x = 75

Step-by-step explanation:

my mind is my friend

Answer:

Step-by-step explanation:

The equation is nor properly written. Let the equations be;

9x+2y = -8 ...... 1

9x - 3x = 7 ...... 2

Subtract 1 from 2;

(9x-9x) - (2y-(-3y)) = -8-7

0 - 5y = -15

-5y = -15

y = -15/-5

y = 3

Substitute y = 3 into 2;

From 2; 9x - 3x = 7 .

9x - 3(3) = 7

9x - 9 = 7

9x = 16

x = 16/9

Hence the solution (x, y) is (16/9, 5)

Note that the equations was assumed. The same method an be applied to similar problem.

Answer:

use this as reference to solve square

The graph of g(x) is the graph of f(x) translated 2 units to the right and 6 units up.

Here we have:

\(f(x) = x^3\\\\g(x) = (x - 2)^3 + 6\)

You can notice that if we take f(x), and we shift it 2 units to the right, we have:

g(x) = f(x - 2)

Then if we apply a shift upwards of 6 units, then we have:

g(x) = f(x - 2) + 3

Replacing f(x) by the cubic parent function, we have:

\(g(x) = (x - 2)^3 + 6\)

So we conclude that the graph of g(x) is the graph of f(x) translated 2 units to the right and 6 units up.

If you want to learn more about translations:

https://brainly.com/question/24850937

#SPJ1

Answer:

-The balance after 5 years is approximately $7,566.81.

-It will take approximately 11.23 years for the account to earn $1,000 in interest.

Step-by-step explanation:

To calculate the balance after 5 years, we can use the formula for compound interest:

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

where A is the balance after t years, P is the principal, r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the time in years.

In this case, P = $6,000, r = 0.045 (since the annual interest rate is 4.5%), n = 12 (since interest is compounded monthly), and t = 5. Plugging these values into the formula, we get:

A = $6,000(1 + 0.045/12)^(12*5) ≈ $7,566.81

Therefore, the balance after 5 years is approximately $7,566.81.

To calculate the time it will take for the account to earn $1,000 in interest, we can use the formula:

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

and rearrange it to solve for t:

t = log(A/P) / (n * log(1 + r/n))

where log is the natural logarithm function.

In this case, we want to find t when the interest earned is $1,000, so A = $6,000 + $1,000 = $7,000 (since the interest is added to the principal to get the new balance), P = $6,000, r = 0.045, and n = 12. Plugging these values into the formula, we get:

t = log($7,000/$6,000) / (12 * log(1 + 0.045/12)) ≈ 11.23

Therefore, it will take approximately 11.23 years for the account to earn $1,000 in interest.

Answer:

$1300

Step-by-step explanation:

52/5 = 10.4

$125 * 10.4 = $1300

or another way

125/5 = $25/week

$25 week * 52 weeks = $1300

40) If the demand for specialty car license plates is perfectly inelastic and the supply curve is upward sloping, then the burden of the tax falls entirely on the consumers (drivers). Therefore, option C) Drivers pay all of the tax is true.

41) If the elasticity of demand for a product is 0 and the elasticity of supply is 1, then the burden of the tax falls entirely on the consumers (buyers). Therefore, option B) Buyers pay all of the tax is true.

42) If the demand for peaches from South Carolina is perfectly elastic and the supply curve is upward sloping, then the burden of the tax falls entirely on the producers (peach sellers). Therefore, option A) Peach sellers pay all of the tax is true.

40) In this scenario, since the demand for specialty car license plates is perfectly inelastic and the supply curve is upward sloping, the correct answer is C) Drivers pay all of the tax. This is because the burden of the tax falls entirely on the consumers with perfectly inelastic demand.

41) With an elasticity of demand of 0 and elasticity of supply of 1, the correct answer is B) buyers pay all of the tax. This is because the inelastic demand means that buyers will absorb the entire tax burden, whereas the elastic supply indicates that sellers can adjust their supply in response to the tax.

42) When the demand for peaches from South Carolina is perfectly elastic and the supply curve is upward sloping, the correct answer is A) peach sellers pay all of the tax. This is because buyers will simply switch to other sources if the price increases due to the tax, so the burden of the tax falls entirely on the peach sellers.

Visit here to learn more about supply curve  : https://brainly.com/question/6075885
#SPJ11

The area of the walkway is 24π square meters.

To find the area of the walkway, we need to subtract the area of the inner circle from the area of the outer circle.

The inner circle has a radius of 5 meters, so its area can be calculated using the formula for the area of a circle: A_inner = π * \((r_inner)^{2}\).

A_inner = π * \(5^{2}\) = 25π square meters.

The outer circle has a radius equal to the sum of the inner radius and the width of the walkway. In this case, the outer radius is 5 + 2 = 7 meters.

The area of the outer circle can be calculated in the same way: A_outer = π * \((r_outer)^{2}\).

A_outer = π * \(7^{2}\) = 49π square meters.

Now, we can find the area of the walkway by subtracting the area of the inner circle from the area of the outer circle: A_walkway = A_outer - A_inner.

A_walkway = 49π - 25π = 24π square meters.

The area of the walkway is 24π square meters, where π (pi) is a mathematical constant approximately equal to 3.14159.

To learn more about area here:

https://brainly.com/question/32312055

#SPJ4

Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.

The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.

The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.

In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.

Visit here to learn more about median:

brainly.com/question/26177250

#SPJ11

The short-run AVC function is AVC = (25 ˣ x) / (1024x²), the short-run ATC function is ATC = (25 ˣx + 500 ˣ 20) / (1024x²), and the short-run MC function is MC = d(Labor Cost + Fixed Cost) / dQ.

Bill's Belts is a company that produces men's belts using both labor and capital. The company incurs labor costs of $25 per hour and capital costs of $500 per hour per unit of capital. In the short run, the company has a fixed capital of 20 units.

The production function of the company is given by Q = 1024x^2, where Q represents the quantity of belts produced and x represents the amount of labor input.

a. The short-run average variable cost (AVC) function is the total variable cost divided by the quantity of output produced. Since the only variable cost is labor cost, the AVC function can be calculated as AVC = (Labor Cost) / Q. In this case, AVC = (25 ˣ x) / (1024x^2).

The short-run average total cost (ATC) function is the total cost divided by the quantity of output produced. It includes both variable and fixed costs.

Since the fixed cost is related to capital, which is fixed at 20 units, the ATC function can be calculated as ATC = (Labor Cost + Fixed Cost) / Q. In this case, ATC = (25ˣ x + 500 ˣ20) / (1024x^2).

b. The short-run marginal cost (MC) function represents the change in total cost resulting from a one-unit increase in output.

It can be calculated as the derivative of the total cost function with respect to quantity of output. In this case, MC = d(Total Cost) / dQ.

The total cost function is the sum of labor cost and fixed cost, so MC = d(Labor Cost + Fixed Cost) / dQ.

Learn more about short-run AVC function

brainly.com/question/32201444

#SPJ11

The secret number is 564 as we solve it by given question.

jack's favorite number is 836 so here we have number 836 and

jill subtracts a secret number from 836 and her answer is the smallest possible combination of all the digits from jack's favorite number

so here we have a number 836

let we subtract x from 836 to get a number which is smallest number by using 836

the number which we can make by using these 3 degits are

368, 386, 638, 683, 836, 863 anf from all these numbers the smallest number which can be using 836 is 368

as given in question we have 836 and we will subtract x and get 368 so

836 - x = 368

x = 836 - 368

x = 564

the secrets number is 564.

know more about smallest numbers click here;

https://brainly.com/question/24023290

#SPJ4

Answer:

Step-by-step explanation:

Add 25% of 120 to 120

and you get 150 so boom there it is

Answer : 25% difference

Given:

The length of a rectangle is 5 centimeters less than 2 times the width.

To find:

The polynomial expression that represents the area of the rectangle, then simplify the expression.

Solution:

Let \(x\) be the width of the rectangle.

The length of a rectangle is 5 centimeters less than 2 times the width.

2 times the width = \(2x\)

5 centimeters less than 2 times the width = \(2x-5\)

Length of the rectangle = \(2x-5\)

We know that, the area of a rectangle is:

\(A=length \times width\)

\(A=(2x-5)\times x\)

\(A=2x^2-5x\)

Therefore, the required polynomial expression is \(A=(2x-5)\times x\) and its simplified form is \(A=2x^2-5x\).

Answer:

16 hours

Step-by-step explanation:

120/4 = 30 miles per hour

480/30 = 16 hours

Answer:

B. \(\frac{RY}{RS}\) = \(\frac{RX}{RT}\) = \(\frac{XY}{TS}\), must be true.

Step-by-step explanation:

Similar figures are figures whose angles and sides are similar with respect to a definite ratio when compared.

From the given question, note that ΔRXY is within ΔRST. Given that the two triangles are similar, then their sides can be compare in a form of ratio as:

\(\frac{RY}{RS}\) = \(\frac{RX}{RT}\) = \(\frac{XY}{TS}\)

Therefore by comparing the length of sides of the triangles, option B must be true.

The dimensions of one of two triangles that are similar can be obtained

from the other triangle by multiplying by a scale factor.

Reasons:

The given relationship between the triangles are;

Line XY is drawn within ΔRST to form ΔRYX.

XY is parallel to ST

Given that we have;

Point X on side RT and point Y on side RS of ΔRST

ΔRST is similar to ΔRYX, we get;

The ratio of the corresponding sides are equal, which gives;

\(\displaystyle \frac{RY}{RS} = \frac{RX}{RT} = \frac{XY}{TS}\)

Therefore;

The option that gives the statement that must be true is; \(\displaystyle \underline{\frac{RY}{RS} = \frac{RX}{RT} = \frac{XY}{TS}}\)

which is the same as the option; StartFraction RY Over RS EndFraction =

StartFraction RX Over RT EndFraction = StartFraction XY Over TS

EndFraction.

Learn more about the relationship between similar triangles here:

https://brainly.com/question/14445094

https://brainly.com/question/13138042

Answer:

2,6

Step-by-step explanation:

Answer:

8 quaters 3 nickels

Step-by-step explanation:

The flour that Karina's mother has won't be enough for the recipe and she requires extra 3/20 together with the quality owed by the mother.

Flour is defined as a food product that is the main ingredient for baking of different recipes such as cakes, breads, plate pies just to mention a few.

The amount of flour needed by Karina for the recipe= 3/5 = 0.6.

The amount of flour owed by the mother = 3/7 = 0.45

The difference between the available flour = 0.6 - 0.45 = 0.15

This shows that extra flour of 0.15 or 3/20 is needed in addition to the quantity of flour owed by the mother to be able to make the recipe.

Learn more about flour here:

https://brainly.com/question/26211317

#SPJ1

Answer:

1.25x + 1.5y=25

Step-by-step explanation:

let the number of lip balms that can be bought be x and the notebooks be y then their total cost is 1.25x + 1.5y. The total $25 there for the equation becomes 1.25x + 1.5y=25.

The required linear equation can be used to determine how many of each prize she can buy is 1.2x + 1.50y = 25.

Given that,
Jung-Soon has $25 to spend on prizes for a game at the school fair. Lip balm costs $1.25 each, and mini-notebooks cost $1.50 each. Write a linear equation that can be used to determine how many of each prize she can buy is ot be determined.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
Let the number of lip balm that can be purchased be x,  and the number of mini notebooks purchased be y,
according to the question,
1.2x + 1.50y = 25

Thus, the required linear equation can be used to determine how many of each prize she can buy is 1.2x + 1.50y = 25.

Learn more about equations here:

brainly.com/question/10413253

#SPJ5

Answer:

It would take five months for the total cost of the gyms to be equal.

Step-by-step explanation:

hi

(y-7)  (y+6) =   y²+6y -7y -42

                  =    y² -y -42