Jason likes to play video games. His parents allow him to play for 20 min plus 10
min for each half hour he does chores or studies. He can never play for more
than 90 min/day.
The function f(x)=20+10x models the number of minutes per day Jason could
play where x represents the number of half hour increments he has done chores
or studied.
What is the practical range of the function?
A. all multiples of 10 greater than or equal to 20 and less than or equal to 90
B. all integers
C. all real numbers greater than or equal to 20
D. all real numbers

Answer:

Average speed = Total distance travelled / Total time taken

 = 170 miles / 2.34 hours

 = 72.65 miles per hour or 72.65 mph

Pls mark as brainliest. I rlly need it for some reason. Thanks

Answer: [tex]x=9[/tex]

Step-by-step explanation:

[tex]3^{x-2}=3^7\\\\x-2=7\\\\x=9[/tex]

In the given table, y = 6x is the function as 6 = (6)1, 12 = (6)2 and 18 = (6)3. Thus, option D is correct.

A function f from domain X to domain Y is written as f: X Y. A function is described as a map that associates each element in the domain with precisely one element in the codomain. In order to determine the value returned by a function given by an argument x, Euler was the first to use the modern representation f(x) (read "f of x). Assume that the function f converts x to Y and y to Y. Then, we can write it as y = f. (x).

A function transformation in mathematics is a function that converts one function or graph into another, typically related function or graph. For instance, when a quadratic graph is translated, the vertex and axis of symmetry are moved, but the overall shape of the parabola remains the same.

Learn more about function

https://brainly.com/question/12431044

#SPJ1

If he walks up the moving escalator at a speed of 25 meters per minute,

the person will reach the top in six minutes.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

A person standing on an escalator reaches the top in 3 minutes.

The escalator is 150 meters long.

He walks up the moving escalator at a speed of 25 meters per minute.

So, the time taken = divide 150 by 25

The time taken = 150/25

The time taken = 6 minutes.

Therefore, he will reach the top in six minutes.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ1

Based on the given figure, we refer to angle a as the length of the side opposite to the angle θ, b as the length of the side adjacent to the angle θ and c as the length of the hypotenuse.

A right triangle is composed by two sides, that form a right angle = angle of 90º between them, plus the hypotenuse, which is the segment connecting these two sides.

The angles are classified as adjacent and opposite as follows:

The problem is given by the image presented at the end of the answer.

More can be learned about right triangles at https://brainly.com/question/2217700

#SPJ1

Answer:

third option

Step-by-step explanation:

Instead of having a constant rate of change, the third option does not as it goes up by 1 then 3 then 5

Answer:

Step-by-step explanation:

m∠5 + m∠3 = m∠4 is always true, because in a triangle, the sum of all the angles is always 180°.m∠3 + m∠4 + m∠5 = 180° is always true, because in a triangle, the sum of all the angles is always 180°.m∠5 + m∠6 =180° is not always true, since it depends on the specific diagram and the measure of m∠6.

Answer: The inequality that can be used to determine the maximum number of days Alyssa can afford to rent for while staying within her budget is:

43d + 0.1(275) <= 100

Step-by-step explanation: The rental car company charges $43 per day to rent a car and $0.10 for every mile driven.

Alyssa wants to rent a car for d days, and she plans to drive 275 miles.

The cost of renting the car for d days is 43d, and the cost of driving 275 miles is 0.1(275)

To determine the maximum number of days Alyssa can afford to rent for while staying within her budget, we can write the inequality:

43d + 0.1(275) <= 100

This inequality represents the total cost of renting the car and the cost of driving, which should be less than or equal to $100 (Alyssa's budget)

On solving the inequality we can determine the maximum days Alyssa can afford.

Answer:

Step-by-step explanation:

Q1)

A toffee costs $0.15 + $0.10 = $0.25

If you buy 15 candies, it will cost you 15* $0.15 = $2.25

If you buy 12 toffees, it will cost you 12* $0.25 = $3.00

So buying 15 candies is $3.00 - $2.25 = $0.75 cheaper than buying 12 toffees.

Q2)

The original price of two tennis rackets is $120 x 2 = $240

The original price of three cans of tennis balls is $15 x 3 = $45

So the original price of two tennis rackets and three cans of balls is $240 + $45 = $285

By buying two tennis rackets and three cans of balls at the sale price of $255, you save $285 - $255 = $30 off the original price.

y = 1/2x + 1 is the line's equation in slope-intercept form.

The equation of a line in slope intercept form is expressed as y = mx + b where:

m is the slope

b is the y-intercept

Given the following coordinate points (4, 3) and (0, 1), the slope is calculated as:

Slope = 1-3/0-4
Slope = -2/-4
Slope = 1/2

For the y-intercept, it is the point where the x-coordinate is zero, hence the y-intercept if (0, 1)

Determine the required equation
y = mx + b

y = 1/2x + 1

Hence the equation of the line in slope-intercept form is y = 1/2x +1

Learn more on slope-intercept form here: https://brainly.com/question/1884491

#SPJ1

Answer:

The building is 36.62 m long.

Step-by-step explanation:

Answer:

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

The numbers that are at least a distance of 3 away from -7 are the numbers 3 units or more away from -7 either side on the number line :

or

This is same as:

The square root of 625 is 25 and the square root of 25 is 5. Therefore, option A and F are the correct answers.

The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.

A) [tex]625^{\frac{1}{2}[/tex]

= [tex](25^2)^{\frac{1}{2}[/tex]

= 25

F) 25

= 5

Therefore, option A and F are the correct answers.

To learn more about the square root of a number visit:

https://brainly.com/question/8971086.

#SPJ1

Answer:

(a)  See attachment.

(b)  12:23

Step-by-step explanation:

A bearing is the angle (in degrees) measured clockwise from north.

To mark the position of J on the given map:

(See attachment).

Given:

Convert 9600 meters into kilometers by dividing by 1000:

⇒ 9600 m = 9600 ÷ 1000 = 9.6 km

[tex]\boxed{\sf Speed=\dfrac{Distance}{Time}}[/tex]

Therefore:

[tex]\sf Time=\dfrac{Distance}{Speed}[/tex]

Substitute the given distance and speed into the formula to calculate the time it took Kendra to walk from K to L:

[tex]\implies \sf Time=\dfrac{9.6\;km}{4.5\;km/h}=2.133333...\;hours[/tex]

Convert 2.133333.. into a mixed number:

[tex]\implies \sf 2.133333...=2\frac{2}{15}\;hours[/tex]

To find the number of minutes in 2/15ths of an hour, multiply 2/15 by 60:

[tex]\implies \sf \dfrac{2}{15} \times 60=\dfrac{120}{15}=8\;minutes[/tex]

Therefore, it took Kendra 2 hours and 8 minutes to walk from K to L.

If Kendra left at 10:15:

[tex]\implies \sf 10:15 + 2\;hours = 12:15[/tex]

[tex]\implies \sf 12:15 + 8\;minutes=12:23[/tex]

Therefore, Kendra arrived at L at 12:23.

Answer:

We can use the formula for conditional probability to find the probability that Mark makes both goals:

P(A and B) = P(A) * P(B | A)

We know that:

P(A) = 0.55 (the probability that Mark makes a goal on his first attempt)

P(B | A) = 0.80 (the probability that Mark makes a goal on his second attempt given that he made the first goal)

So:

P(A and B) = 0.55 * 0.80 = 0.44

Therefore, the probability that Mark makes both goals is 0.44.

Answer:

D. 2r2 + 23r > 645

Step-by-step explanation:

The equation "2r^2 + 23r > 645" represents the situation because it states that the number of spaces in the parking lot, represented by the left-hand side of the equation (2r^2 + 23r), is greater than the maximum number of spaces that the parking lot can hold (645). This is consistent with the information given in the problem, which states that the parking lot has been expanded and can now hold more spaces.

The other equations given (A, B, C) do not accurately represent the situation because they do not take into account the expansion of the parking lot and the addition of new rows and spaces.

Answer:

The equation that can be used to find y, the height of the first bounce, in inches, when the ball is dropped from a height of x inches is y=x/2. This can be determined by analyzing the data in the table:

-When the ball is dropped from a height of 10 inches, the height of the first bounce is 5 inches (y=5).

-When the ball is dropped from a height of 20 inches, the height of the first bounce is 10 inches (y=10).

-When the ball is dropped from a height of 30 inches, the height of the first bounce is 15 inches (y=15).

In all these cases, the height of the first bounce is half the height of the drop, meaning that the equation y=x/2 is the correct one

Answer:

B) y = x/2

Step-by-step explanation:

When the ball is dropped 10 inches, the ball bounces 5 inches

5 = 10/2

When the ball is dropped 20 inches, the ball bounces 10 inches.

10 = 20/2

When the ball is dropped 30 inches, the ball bounces 15 inches.

15 = 30/2

Therefore , the solution of the given problem of elevation comes out to be

X = 21.23°.

When it is between the horizontal line and the line of sight, the angle of elevation is formed. The angle that forms when the line of sight is above the horizontal line is referred to as the angle of elevation. The line of sight, however, is to the horizontal line downward in the angle of depression.

Here,

Given :  tan X = P/ B

tan X = 68 / 175

X  = tan⁻¹ (68 /175)

X = 21.23

Therefore , the solution of the given problem of elevation comes out to be

X = 21.23°.

To know more about elevation visit:-

brainly.com/question/29477960

#SPJ1

Answer:

a₄ = 0

Step-by-step explanation:

using the recursive rule [tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 2 and a₁ = 6 , then

a₂ = a₁ - 2 = 6 - 2 = 4

a₃ = a₂ - 2 = 4 - 2 = 2

a₄ = a₃ - 2 = 2 - 2 = 0

The quadratic expression for the curves is written as

The curve opening up y = a(x + 4)² - 7

The curve opening down y = -1/8(x - 4)² + 3

The equation of the quadratic equation is written using the formula

y = a(x - h)² + k

where h and k are points of the vertex v(h, k)

The curve opening up

h = -4 and k = ?

using points C and B

-5 = a(0 + 4)² + k, -5 = 16a + k

1 = a(4 + 4)² + k, 1 = 64a + k

solving simultaneously

-5 = 16a + k

1 = 64a + k

subtraction

-6 = -48a

a = 1/8

solving for k

-5 = 16a + k

-5 = 16 * 1/8 + k

k = -7

substituting the values

y = a(x + 4)² - 7

The curve opening down

A is the vertex (4, 3)

y = a(x - 4)² + 3

using D (0, 1) to solve a

1 = a(0 - 4)² + 3

1 - 3 = 16a

a = -1/8

hence the equation is y = -1/8(x - 4)² + 3

Learn more about Quadratic equation here:

https://brainly.com/question/29339843

#SPJ1

Answer:

see explanation

Step-by-step explanation:

[tex]\frac{5}{x}[/tex] - [tex]\frac{2}{x^2}[/tex] = 2

multiply through by x² ( x ≠ 0 ) to clear the fractions

5x - 2 = 2x² , that is

2x² = 5x - 2 ( subtract 5x - 2 from both sides )

2x² - 5x + 2 = 0 ← in standard form

(2x - 1)(x - 2) = 0 ← in factored form

equate each factor to zero and solve for x

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

x - 2 = 0 ⇒ x = 2

since x₁ < x₂ , then

x₁ = [tex]\frac{1}{2}[/tex] and x₂ = 2

Then

3x₁ + x₂

= 3 × [tex]\frac{1}{2}[/tex] + 2

= [tex]\frac{3}{2}[/tex] + 2

= [tex]\frac{3}{2}[/tex] + [tex]\frac{4}{2}[/tex]

= [tex]\frac{7}{2}[/tex]

Answer:no

Step-by-step explanation:

The function is increasing and negative on (3п/2, 2п)

Answer:

The compound interest formula is A = P(1 + r/n)^(nt) where A is the final amount, P is the principal (initial deposit), r is the annual interest rate (expressed as a decimal), n is the number of times interest is compounded per year, and t is the number of years.

In this case, P = 2750, r = 0.035, n = 4 (because interest is compounded quarterly) and t = 7 (because we are trying to find the balance after 7 years).

So the formula becomes:

A = 2750(1 + 0.035/4)^(4*7)

By plugging the number into the formula we can find the final amount after 7 years

A = $3,974.23

So the amount of money in the account at the end of 7 years is $3,974.23, rounded to the nearest hundredth.

[tex] { (\frac{ {b}^{6} }{ {a}^{3} })}^{ \frac{1}{3} } \\ = \frac{ {b}^{6 \times \frac{1}{3} } }{ {a}^{3 \times \frac{1}{3} } } \\ = \frac{ {b}^{2} }{a} [/tex]

Answer:

b^2/a

Hope it helps.

If you have any query, feel free to ask.

The gain percentage is 12.5%

First, let`s find the Cost price (C.P) of the sofa.

Let C.P of the sofa be x.

Now, according to the question:

x+ 7% of x=Rs.3852

x + (7/100 * x) = 3852

x + 0.07x = 3852

1.07x = 3852

x=3852/1.07,

x = Rs 3600.

Now the dealer sells it for Rs 4050.

so, the Formula for gain% is=(Selling price-Cost price/Cost price)x100

Gain %= (4050-3600/3600)x100

Gain%=(450/3600)x100

Gain%=(450/36)

i.e = 12.5%.

Learn more about gain percentages:

https://brainly.com/question/24344510

Answer:

6x

Step-by-step explanation:

Combine like terms

Ratio of concentrate and water in 1:1 would be most reliable for this situation. Thus, A is the correct option.

A ratio is a way to compare two or more comparable quantities by writing the numbers with a colon in between each one. The figures must be whole numbers without any units.

You must practise the techniques described here repeatedly until they are automatic in order to master them. After reading this text and/or watching the related video tutorial, you should be able to:

• calculate the ratio of two or more similar quantities, regardless of whether they are expressed in the same units;

• divide a quantity into a number of parts in given ratios;

• use ratios to scale up or scale down a list of ingredients.

Learn more about Ratio

https://brainly.com/question/12024093

#SPJ1

Correct answer:

A customer wants to make screen wash from concentrate and water.

The diagram shows the amount of concentrate she puts into a container.

ml

1000

800

600

400

200

The customer adds water into the container up to the 1000 ml division. Which Ratio of concentrate and water would be most reliable.

A.  1:1

B. 4:5

C. 2:5

D. 1:5

Using scientific notation, the number of gallons of water saved in two years by the wireless soil monitors is 1.2 x 10^12.

Scientific notation is a shorthand way of writing very large numbers or very small numbers in a simpler form.

The parts of a scientific notation are coefficient, base, and exponent.

We state that a number is written in standard notation when the number is between 1 and 10 and it is multiplied by a power of 10.

The number of gallons of water per year saved by wireless soil monitors = 6 trillion

The number of gallons of water saved by wireless soil monitors in 2 years = 12 trillion

In scientific notation, 12 trillion = 1.2 x 10^12.

Learn more about scientific notations at https://brainly.com/question/27862246

#SPJ1