A computer is rendering two scenes. The computer has already rendered 540 thousand pixels (\text{kpx}kpxstart text, k, p, x, end text) of a kitchen scene and renders another 90\,\text{kpx}90kpx90, start text, k, p, x, end text each minute. The computer has rendered 960\,\text{kpx}960kpx960, start text, k, p, x, end text of a garden scene and renders 60\,\text{kpx}60kpx60, start text, k, p, x, end text more pixels each minute. After how many more minutes will the scenes have the same amounts rendered?

The height of water in the tank in feet after t seconds can be expressed as h(t) = H - (Aw/Ah) 2gh t2, where Aw and Ah are the cross-sectional areas of the water and the hole in square feet respectively,

and g is the gravitational acceleration (32 ft/s2). The interval of definition for h(t) is 0 ≤ t ≤ H/2gh.

The graph of h(t) is a parabola with its vertex at (H/2gh, H) and is symmetric about the line t = H/2gh. It starts at (0, H) and gradually decreases to (H/2gh, 0).

Given the tank is 11 ft high, has radius 2 ft and the circular hole has radius in, and it is initially full, the time it will take to empty can be calculated as: t = √(2H/gAh) = √(22/(32 x π(0.52))) = 3.87 seconds. Therefore, it will take approximately 3.87 seconds to empty.

for such more questions on gravitational acceleration

https://brainly.com/question/14374981

#SPJ11

Answer:

x=2; the extraneous root x=42.

All the details are in the attached picture, the answer is marked with red colour.

The radical equation 2 + 2x - 3. √(x + 7) has a solution set z = 2 and an extraneous root = -7.

To solve the equation, we can start by simplifying the radical. We get:

2 + 2x - 3√(x + 7) = 0

We can then move the constant term to the other side of the equation. We get:

2x - 3√(x + 7) = -2

We can then multiply both sides of the equation by -1. We get:

3√(x + 7) - 2x = 2

We can then square both sides of the equation. We get:

9(x + 7) - 12x * √(x + 7) + 4x² = 4

We can then rearrange the terms on the left-hand side of the equation. We get:

4x² - 12x * √(x + 7) + 5 = 0

We can then factor the expression on the left-hand side of the equation. We get:

(2x - 1)(2x - 5) = 0

This gives us two solutions, x = 1/2 and x = 5.

The solution x = 1/2 is a valid solution because it does not make the radical expression undefined. However, the solution x = 5 is an extraneous root because it does make the radical expression undefined.

Therefore, the solution set z = 2 and the extraneous root = -7.

To learn more about equation here:

https://brainly.com/question/10724260

#SPJ2

Answer:

circumference, area, sector, circle, area, circumference

The circumference of the circle in terms of π whose radius is given would be = 63π. That is option D.

To calculate the circumference of a circle, the formula that should be used would be given below.

That is;

circumference of circle= 2πr

The radius = 31½

circumference = 2×π × 31½

= 2×π× 63/2

= 63π

Learn more about circle here:

https://brainly.com/question/26594685

#SPJ1

Answer:

0 = 7x-6y -99

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 7/6x+b

Using the point

-6 = 7/6(9) +b

-6 = 7*3/2 +b

-6 = 21/2 +b

Subtract 21/2 from each side

-12/2 -21/2 = b

-33/2 = b

y= 7/6x -33/2

Multiply each side by 6

6y = 7x - 99

Subtract 6y from each side

0 = 7x-6y -99

Answer:

cookie dough fundraiser is a great way to raise money for your school, team, ... selling large or small cookie dough tubs, or pre-portioned cookie dough trays.

Answer:

4 days

Step-by-step explanation:

If we say d = number of days passed, j = tubs sold by jayla and b = tubs sold by brian

j = 4 + d

because when d = 0 j must equal 4, then it goes up by 1 each day

b = 2d

because when d = 0 b must be 0, then it goes up by 2 each day

set them to be equal and solve for d

4 + d = 2d

d = 4

so after 4 days they sell the same amount which is 8

In section 20 of the south half of the map, find the contour line that intersects the encircled area. The distance between that contour line and the ground surface represents the required well depth to access the water table.



To locate the point in question, refer to section 20 on the south half of the map where it is encircled. Next, examine the water table contours provided in Exercise 14A. Identify the contour line that intersects with the encircled area. This contour line represents the depth of the water table at that point.

To determine the depth a well would need to be drilled to access the water table, measure the vertical distance from the ground surface to the identified contour line. This measurement corresponds to the required depth for drilling the well.

Therefore, In section 20 of the south half of the map, find the contour line that intersects the encircled area. The distance between that contour line and the ground surface represents the required well depth to access the water table.

To learn more about intersects click here

brainly.com/question/33110639

#SPJ11

The answer is A) 10,000,000 seven-digit numbers; B) The number is  20,000 ; C)  5,314,410 identification numbers are possible if no two adjacent digits are the same.

Seven-digit identification number:

A.) The number of possible identifying numbers

Possible digits are 0 up to 9.

Total number of digits: 10

Any of the 10 digits may be used for each;

Hence,

10×10×10×10×10×10×10 equals 10,000,000 potential outcomes.

B.) For it to start begin with either 023 and 003.

- the first digit must be 0 (1 possible value)

- 2nd digit must be 2 or 0 (2 possible values)

- 3rd digit must be 3 (1 possible value)

- 4th and 5th can be filled with any digit (10 × 10 possible values)

Which gives

1×2×1×10×10×10×10 = 20,000

3.) no two adjacent digits are the same that is no two digits that follows each other are the same.

In this case only one digit have 10 possible values.

The other four digits have 9 possible values each.

Which gives:

10×9×9×9×9×9×9 = 10× \(9^{6}\) = 5,314,410

The full question:

A certain identification number is a sequence of seven digits. (a) How many identification numbers are possible? (b) How many of them begin with either 023 or 003? (c) How many identification numbers are possible if no two adjacent digits are the same? (For example, 123-4-567 is permitted, but not 123-3-456.).

Know more about possibilities (probability):

brainly.com/question/13604758

#SPJ4

Answer:

5,6,7

Step-by-step explanation:

the unfilled circle means that you dony inclued 4, and since the blue line is going u the scale means it can be any number higher than 4

62/100 is the fraction

31/50 is the simplest form

explanation:

62%

= 62/100

= (62/2) / (100/2)

= 31/50

The final answer is 31/50~

62%

to get rid of the percentage sign  and change to a fraction divide by 100

62/100

divide both numbers by to to change to simplest form

= 31/50

31/50 by the way I love how some people realize so many people answered this question already and decide they should add something that is totally not necessary.

To learn more about fraction refers to;

https://brainly.com/question/30044020

#SPJ1

Reason: We subtract 77 from both sides

Answer:

x=10

Step-by-step explanation:

8(x-9)+6=14

Use the Distributive property

Solve

Combine like terms

Add 66 to both sides and then solve

Divide both sides by 8 to isolate x and then solve

0.08$/fl. Ounce

The first step in finding the unit price of a can of pineapple juice in dollars per fluid ounce is to determine the volume of juice contained in the can. If a can holds 4 cups of juice, then we need to convert that volume to fluid ounces. One cup is equal to 8 fluid ounces, so 4 cups is equal to 32 fluid ounces.

Next, we need to determine the price of the juice in dollars per fluid ounce. We are told that the can costs 2.56 dollars, so we need to divide that cost by the number of fluid ounces in the can to find the unit price.

So, the unit price of the juice in dollars per fluid ounce is:

2.56 / 32 = 0.08 dollars per fluid ounce

So, for each fluid ounce of pineapple juice, the cost is 0.08 dollars. This is the unit price of the juice in dollars per fluid ounce. It is important to note that this unit price is only valid for this specific can of juice and may not be the same for other sizes or brands of pineapple juice.

In conclusion, the unit price of a can of pineapple juice containing 4 cups or 32 fluid ounces, and costing 2.56 dollars, is 0.08 dollars per fluid ounce.

The area of  region enclosed in line y=mx and curve y=x/(x^2 1) is  \(ln(m \sqrt{(1/m^2 - 1))\)- m/2 (1/m^2 - 1) square unit.

The line y = mx intersects the curve y = x/(x^2 + 1) at two points, say (a, ma) and (b, mb), where a < b. Setting mx = x/(x^2 + 1), we can solve for x to get x = mx / (1 - m^2 x^2), or equivalently, (1 - m^2 x^2)x = mx, which gives x = 0 (when m = 0) or x^2 = 1/m^2 - 1, or equivalently, x = ±\(\sqrt{(1/m^2 - 1)\). Since the line is symmetric about the origin, we can assume m > 0.

For the line to enclose a region with the curve, we must have a < 0 < b, which means the intersection points are (- \(\sqrt{(1/m^2 - 1)\), - m \(\sqrt{(1/m^2 - 1)\)).  and\(\sqrt{(1/m^2 - 1)\), m \(\sqrt{(1/m^2 - 1)\)). The area of the enclosed region is then:

∫_-\(\sqrt{(1/m^2-1)^\sqrt{(1/m^2-1)\)[x/(x^2+1) - mx] dx

We can use partial fraction decomposition to write x/(x^2+1) as 1/2 [1/(x-i) - 1/(x+i)], where i = sqrt(-1), and then integrate term by term to get:

∫_-\(\sqrt{(1/m^2-1)^\sqrt{(1/m^2-1)\) [x/(x^2+1) - mx] dx

= 1/2 [ln(x-i) - ln(x+i) - m/2 x^2] |_ - \(\sqrt{(1/m^2-1)^\sqrt{(1/m^2-1)\)

= ln(\(m \sqrt{(1/m^2 - 1))\) - m/2 (1/m^2 - 1)

Therefore, the area of the enclosed region is \(ln(m \sqrt{(1/m^2 - 1))\)- m/2 (1/m^2 - 1) square unit. This expression is undefined when m <= 1 or m >= -1, since in those cases, the curve and line do not intersect.

To know more about area of region:

https://brainly.com/question/28926053

#SPJ4

a. We can estimate 290 as \(2.90 \times  10^2.\)

B. We can estimate 460 as 4.60 x 10^2.

To estimate each quantity in terms of powers of ten, we can express each number in scientific notation.

a) 290 can be written as\(2.90 \times  10^2\).

The first digit is 2, which is between 1 and 10.

The decimal point is after the first digit, so we have one non-zero digit to the left of the decimal point.

We need to move the decimal point two places to the left to get a number between 1 and 10, which gives us 2.90.

The exponent is 2, which means we need to multiply our number by \(10^2\) to get the original value of 290.

Therefore, we can estimate 290 as \(2.90 \times  10^2.\)

b) 460 can be written as\(4.60 \times  10^2\)

The first digit is 4, which is between 1 and 10.

The decimal point is after the first digit, so we have one non-zero digit to the left of the decimal point.

We need to move the decimal point two places to the left to get a number between 1 and 10, which gives us 4.60.

The exponent is 2, which means we need to multiply our number by \(10^2\) to get the original value of 460.

Therefore, we can estimate 460 as \(4.60 \times  10^2.\).

For similar question on estimate.

https://brainly.com/question/28416295

#SPJ11

When we estimate a quantity in terms of powers of ten, we're essentially trying to express that quantity as a multiple of 10 raised to some power. For example, we could estimate 290 as 3 x 10^2, since 3 is the first digit and there are two other digits after it.


(a) For 290, we can estimate it to the nearest power of ten as follows:
Step 1: Identify the nearest powers of ten: 100 (10^2) and 1000 (10^3)
Step 2: Determine which power of ten is closer to 290: Since 290 is closer to 100 than 1000, we'll choose 100 (10^2).

(b) For 460, we can estimate it to the nearest power of ten as follows:
Step 1: Identify the nearest powers of ten: 100 (10^2) and 1000 (10^3)
Step 2: Determine which power of ten is closer to 460: Since 460 is closer to 1000 than 100, we'll choose 1000 (10^3).

Learn more about powers of ten here: brainly.com/question/31961237

#SPJ11

Answer: 4(3+1)/4c-q^1/2d i think tht is how you do it...

Step-by-step explanation:

apply the distribuitive property to create an equivalent expression

4

(

3

+

1

)

4

c

−

q

1

2

d

Write the problem as a mathematical expression.

apply the distribuitive property to create an equivalent expression

4

(

3

+

1

)

4

c

−

q

1

2

d

Simplify.

4

(

3

+

1

)

4

c

−

q

2

d

Add

3

and

1

.

4

⋅

4

4

c

−

q

2

d

Simplify the denominator.

Tap for more steps...

4

⋅

4

8

c

d

−

q

2

d

Multiply

4

by

4

.

16

8

c

d

−

q

2

d

Multiply the numerator by the reciprocal of the denominator.

16

2

d

8

c

d

−

q

Multiply

16

2

d

8

c

d

−

q

.

Tap for more steps...

32

d

8

c

d

−

q

Answer:

Step-by-step explanation:

Math on it's own is not hard. It's the way teachers teach it. It also could be your brain, some peoples brain (like my own) aren't made for math where there is only one answer but for creative interprutive answers like philosophy and art. Some minds are good for sports. Find what your mind is good for and you never go wrong.

Answer:

I have no idea.

Step-by-step explanation:

They make it much more complicated then it has to be

Answer: y=x+5/2

Step-by-step explanation:

using the slope intercept formula, y=mx+b where m is the slope and b is the y-intercept, you can substitute the two values to get y=x+5/2. Please note that the slope, m, is one so it's not shown.

Answer:

258 miles

Step-by-step explanation:

y = # miles truck driven

m = each mile driven

y = 14.95 + 0.97m

265.21 = 14.95 + 0.97m

250.26 = 0.97m

m = 258

Brandon will mow 2,400 square feet of lawn while Marta will mow 2,800 square feet of lawn.

It is given that:For every 4 square feet that Brandon mows, Marta mows 9 square feet.Let Brandon mow 4x square feet of the lawn.Then, Marta will mow 9x square feet of the lawn.According to the question, the lawn is 5200 square feet.So, \(4x + 9x = 520013x = 5200x = 400\)

On substituting the value of x in 4x and 9x, we get:Brandon will mow 4x square feet of the lawn, which is 4(400) = 1600 square feet.Marta will mow 9x square feet of the lawn, which is 9(400) = 3600 square feet.The lawn will be mowed by both Brandon and Marta. Brandon will mow 2,400 square feet of lawn while Marta will mow 2,800 square feet of lawn.

To know more about square feet  visit :-

https://brainly.com/question/30678567

#SPJ11

Answer:

To make AB perpendicular to CD move point B until the angle between the lines, BEC measures 90°.

Step-by-step explanation:

Plato

If you have to make AB perpendicular to CD, rotate AB clockwise, until and unless both the lines intersect at 90 degrees.

Angles : the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.   

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is that as you move point B, the angle formed between AB and CD varies.

If you have to make AB perpendicular to CD, rotate AB clockwise, such that the point B moves in clockwise direction, until and unless both the lines intersect at 90 degrees.

Therefore, if you have to make AB perpendicular to CD, rotate AB clockwise, until and unless both the lines intersect at 90 degrees.

To solve more questions on perpendicular angles, visit the link below -

https://brainly.com/question/9058897

#SPJ5

Answer:

1053 m^3

Step-by-step explanation:

Pyramid top   1/3 * 9 * 9 * 12 = 324 m^3

Base  9 * 9 * 9  = 729 m^3

total  1053 m^3

We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:

E = k * Q / r^2

where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.

In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).

To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.

So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:

E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)

where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.

Substituting the given values, we get:

E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2

E_x ≈ -30,566.04 N/C

Rounding this to two significant figures and including the appropriate units, we get:

The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).

The answer is (d) 6 variables, 1 of which is categorical.

The given data set consists of 6 variables, indicating that there are six distinct pieces of information being recorded or measured. Among these variables, only one is categorized as categorical. Categorical variables are qualitative in nature and represent characteristics or categories rather than numerical values. Examples of categorical variables include gender, color, type, or any other non-numeric attribute.

By deductive reasoning, since there is only one categorical variable in the dataset, the remaining five variables are likely to be quantitative. Quantitative variables are numerical and represent measurable quantities, such as age, weight, temperature, or time.

Identifying the number of categorical variables in a dataset is crucial for understanding the nature of the information being collected. In this case, we can confidently conclude that the data set contains 6 variables, with 1 of them being categorical, while the other 5 variables are likely to be quantitative.

For more questions on variables

https://brainly.com/question/28248724

#SPJ8

Answer:

34%

Step-by-step explanation:

Answer

33.3%

Step-by-step explanation