what was disney’s reaction to seeing pixar’s first proposal of toy story?

The line slants downward from left to right, indicating that as x increases, y decreases.

The given linear equation is -x = 2y + 1. To represent this equation graphically, we need to rearrange it into the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.Rearranging the given equation, we get:2y = -x - 1

Dividing both sides by 2:y = (-1/2)x - 1/2

The slope of the line is -1/2, which means that for every unit increase in x, y decreases by 1/2 unit. The y-intercept is -1/2, indicating that the line intersects the y-axis at (0, -1/2).

Based on this information, the best graph that represents the linear equation y = (-1/2)x - 1/2 is a straight line with a negative slope of -1/2, starting at the point (0, -1/2) and extending infinitely in both directions.

for more search question downward

https://brainly.com/question/29330028

#SPJ8

Answer:

512 ft and 1,232 ft

Step-by-step explanation:

area is length x width

the pool's area can be calculated doing 32ft x 16ft

the area of the pool is 512 ft

the deck's area can be calculated doing 28ft x 44ft

the area of the deck is 1,232 ft

you're welcome<3

Answer:

it would be within the range of $0.77 <x< $0.78

The formula to use is,

Given

Therefore,

Hence, the answer is

Answer:

Eduardo will get $4.03

Step-by-step explanation:

To solve this problem, first add 4.99 and 0.98 together, remember to line up the decimals

4.99

+ 0.98

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

5.97

Now take 5.97 from 10.00

first you can't take 7 from 0 so you take 1 from the tens place making 10.00 into 9.9 10, now you can take 7 from 10 which equals 3. Into the tenths place you can take 9 from 9 which is a 0. Lastly 9 - 5 is 4, adding the decimal back you get

10.00

- 05.97

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

$ 4.03

Answer:

d. (x - 1)(2x + 3)(3x - 4)

Step-by-step explanation:

6x³ - 5x² - 13x + 12

6x³ + x² - 12x - 6x² - x + 12

x(6x² + x - 12) - 1(6x² + x - 12)

(x - 1)(6x² + x - 12)

(x - 1)(6x² + 9x - 8x - 12)

(x - 1)(3x(2x + 3) - 4(2x + 3))

(x - 1)(2x - 3)(3x - 4)

Answer:

( x - 1 )( 2x + 3 )( 3x - 4 )

Step-by-step explanation:

Hope this helps!

The system represented in the graph is: y > x² + 4x - 2 and y > 3x + 4.

In mathematics, an inequality is a mathematical expression that compares two values, indicating whether one value is greater than, less than, or equal to the other value. Inequalities use mathematical symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to) to indicate the relationship between the values. Inequalities can involve a variety of mathematical operations, including addition, subtraction, multiplication, division, exponents, and roots. They are commonly used to represent a range of possible values for a variable or to describe conditions that must be satisfied. Solving an inequality involves finding the values of the variable that make the inequality true. The solutions to an inequality may be a range of values, rather than a single value as in an equation.

Here,

The shaded region above both of the lines represents the solutions to this system of inequalities.

To know more about inequality,

https://brainly.com/question/30339585

#SPJ1

Answer:

68%

Step-by-step explanation:

We start by calculating the z-scores of both

z-score = (x-mean)/SD

for 2.21

z-score = (2.21-2.61)/0.4 = -1

For 3.01

z-score = (3.01-2.61)/0.4 = 0.4/0.4 = 1

So what we want to find is the percentage between -1 SD and 1 SD of the mean

This is the percentage corresponding to the probability

P(-1 < x < 1)

According to the empirical rule, this is a value of;

68.269%

Senator Smith's percentage rating must increase by 13% in other to undo the previous decreases.

Initial rating = 62%

April rating = 57%

May rating = 57% - 8% = 49%

Final rating after decrease = May rating = 49%

In other to return to initial rating :

Initial rating - Final rating

62% - 49% = 13%

Hence, in other to undo the decrease in April and May rating, Senator Smith's percentage rating must increase by 13%

Learn more :: https://brainly.com/question/18796573

Answer:Its B I got It right on my test

Step-by-step explanation:

The two consecutive integers such that their sum is 141 will be 70 and 71.

The number system is a way to represent or express numbers.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Let's say that two consecutive integers are x and x + 1.

x + x + 1 = 141

2x + 1 = 141

2x = 140

x = 70

So, x + 1 = 71

Thus, it will be 70 and 71.

Hence "The two consecutive integers such that their sum is 141 will be 70 and 71".

For more about the number system,

https://brainly.com/question/22046046

#SPJ5

Answer:

see photo

Step-by-step explanation:

Answer:

The answer is d

Answer:

C) 86

Step-by-step explanation:

To find the mean you first add all of the numbers together. So you would add 75+90+84+95=344. Then you would divide the sum by the amount if numbers there are. So it would be 344÷4 =86

Hope this helped :)

Answer:

x = 75, 90 , 84, 95

\(Mean = \frac{ \sum x}{n}= \frac{75+90+84+95}{4} = 86\)

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

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

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

For such more questions on present value

https://brainly.com/question/30390056

#SPJ8

The true statements are:

A circle is a closed, two-dimensional shape where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the middle.

To identify the true statements, we can first rewrite the given equation of the circle in standard form:

x² - 2x + y² = 8

Completing the square, we get:

(x - 1)² + y² = 9

Now we can identify the true statements:

Therefore, the true statements are:

Learn more about circle on:

https://brainly.com/question/10645610

#SPJ9

Answer:

Volume of landfill space saved by recycling paper products in 2010 in the United States = 175.56 million m³ of land space

Note: The Table in the attachment below Shows The Total MSW (in Metric Tons) And Percent MSW Recycled Over Time In The United States.

Step-by-step explanation:

Step 1: Determining the amount in metric tons of paper products recycled

In the year 2010, a total of 76 million metric tons of MSW was recycled.

Recycling of paper products accounted for 33% of the total MSW recycled in 2010.

The amount of paper products recycled in millions of metric ton = 0.33 × 76 million  = 25.08 million metric tons of paper products.

Step 2: Determining the volume of landfill space saved in 2010 by recycling paper products

7m³ of landfill space is saved for each metric ton of paper products.

Volume of landfill space saved by recycling paper products in 2010 in the United States = total amount of paper products recycled  × 7 m³/metric ton

Volume of landfill space saved = 25.08 million metric tons  × 7  m³/metric ton

Volume of landfill space saved = 175.56 million m³ of land space

Therefore, volume of landfill space saved by recycling paper products in 2010 in the United States = 175.56 million m³ of land space

Using proportions, it is found that about 21 cubic metres of landfill space was saved by recycling paper products in 2010 in the United States.

A proportion is a fraction of a total amount.

In this problem, 33% of the total amount is equivalent to 7 cubic metres, hence:

0.33t = 7

t = 7/0.33

t = 21

21 cubic metres of landfill space was saved by recycling paper products in 2010 in the United States.

More can be learned about proportions at https://brainly.com/question/24372153

The sec 132 degrees 15 minutes in degrees is approximately -1.638 degrees.

The secant function, denoted as sec(x), is a trigonometric function that is defined as the reciprocal of the cosine function, cos(x).

In other words,

sec(x) = 1 / cos(x)

The secant function is defined for all values of x except for those where the cosine function is equal to zero, which corresponds to the values x = (2n+1)π/2 where n is an integer. At these points, the secant function is undefined.

To convert sec(132 degrees 15 minutes) to degrees, we first need to convert the angle to decimal degrees.

We know that 1 degree is equal to 60 minutes, so 15 minutes is equal to 15/60 = 0.25 degrees.

Therefore, the angle 132 degrees 15 minutes is equal to 132 + 0.25 = 132.25 degrees.

Now we can find the secant of this angle:

sec(132.25 degrees) = 1/cos(132.25 degrees) ≈ -1.638

So the answer is approximately -1.638 degrees.

To know more about the secant function visit:

brainly.com/question/16230804

#SPJ1

Answer:

Step-by-step explanation:

Let's calculate the total cost of the bike and the dining table first.

The cost of the bike is ₹56,725.

The cost of the dining table is ₹8,800.

To find the total cost, we add the cost of the bike and the cost of the dining table:

₹56,725 + ₹8,800 = ₹65,525

So, the total cost of the bike and the dining table is ₹65,525.

To determine which item is costlier, we compare the costs of the bike and the dining table. In this case, the bike is costlier as it costs ₹56,725, while the dining table costs ₹8,800.

Now, let's calculate the amount that Somraj deposited in his wife's account.

He initially had ₹1,78,500 in his bank account and withdrew the entire amount along with the interest of ₹20,489. Therefore, the total amount withdrawn is:

₹1,78,500 + ₹20,489 = ₹1,98,989

From this amount, he spent ₹36,725 on the laptop, ₹8,800 on the dining table, and ₹56,725 on the bike. So, the total amount spent on these items is:

₹36,725 + ₹8,800 + ₹56,725 = ₹1,02,250

To find the amount deposited in his wife's account, we subtract the total amount spent from the total amount withdrawn:

₹1,98,989 - ₹1,02,250 = ₹96,739

Therefore, Somraj deposited ₹96,739 in his wife's account.

Answer:

a. 65,525

b. bike

c. 96,739

Step-by-step explanation:

a.

total cost of the bike and the dining table,

= 56,725 + 8,800

= 65,525

b.

bike is costlier than the dining table.

c.

total amount somraj received from bank

= 1,78,500 + 20,489

= 198,989

total expenditures

= 36,725 + 8,800 + 56,725

= 102,250

amount he saved to deposit in his wife's account

= 198,989 - 102,250

= 96,739

243 = the pages read on Saturday

243 - 53 = 190 = the pages read on Sunday

190 + 243 =  433 = total pages read

Answer = 433

The function values are f(10) = 198 and g(-6) = 24/7; the range of h(x) is 3/5 < h(x) < 31/25 and the inverse function is p-1(x) = -(1 + 3x)/(5 + x)

Given that

f(x) = 2x^2 - 2

g(x) = 4x/(x - 1)

So, we have

f(10) = 2(10)^2 - 2 = 198

g(-6) = 4(-6)/(-6 - 1) = 24/7

Here, we have

h(x) = (7x - 4)/5x

Where

1 < x < 5

So, we have

h(1) = (7(1) - 4)/5(1) = 3/5

h(5) = (7(5) - 4)/5(5) = 31/25

So the range is 3/5 < h(x) < 31/25

Here, we have

P(x) = (5x - 1)/(3 - x)

So, we have

x = (5y - 1)/(3 - y)

This gives

3x - xy = 5y - 1

So, we have

y(5 + x) = -1 - 3x

This gives

y = -(1 + 3x)/(5 + x)

So, the inverse function is p-1(x) = -(1 + 3x)/(5 + x)

Read more about functions at

https://brainly.com/question/28532394

#SPJ1

The only possible value of "a" that satisfies the given equations is a = 5.

The possible values of "a" that satisfy the given equations, let's solve the system of equations:

a + ab = 250 ---(1)

a - ab = -240 ---(2)

We can solve this system by using the method of substitution. Rearranging equation (2), we get:

a = ab - 240 ---(3)

Substituting equation (3) into equation (1), we have:

(ab - 240) + ab = 250

2ab - 240 = 250

2ab = 250 + 240

2ab = 490

ab = 490/2

ab = 245

Now we have the value of "ab."

We can substitute this back into equation (3) to solve for "a":

a = (245) - 240

a = 5

For similar questions on possible value

https://brainly.com/question/21237643
#SPJ11

Answer:

$325

Step-by-step explanation:

Find the regular price by dividing 247 by 0.76:

247/0.76:

= 325

So, the regular price was $325

Answer:

Volume V ≈ 1481.3269 cubic inches

Step-by-step explanation:

Volume V of a cylinder is given by the formula

V = πr²h  where r = radius of the base of the cylinder and h the height

Here we are given the diameter, d = 5.9375 inches

Radius r = d/2 = 5.9375/2 = 2.96875 in

Height h = 53.5 in

V = π x 2.9685² x 53.5 ≈ 1481.3269 cubic inches

Answer V ≈ 1481.3269 cubic inches

The total surface area painted black = 90.5 square feet to the nearest tenth.

A cone is a three-dimensional geometric form with a flat base and a smooth, tapering apex or vertex. A cone is made up of a collection of line segments, half-lines, or lines that link the base's points to the apex, which is a common point on a plane that does not include the base.

Given:

Three large cones hang from the ceiling in an office building in front of a bank of windows.

The height of each cone is 12 feet, and the circumference of the base of each cone is 8π feet.

The base and 40% of the lateral surface of each cone is painted red, and the rest of each cone is painted black.

Circumference of the base of the cone = 8π feet.

2πr = 8π

πr = 4π

The surface area of the cone = πr x height

The surface area of the cone = 12 x 4π

The surface area of the cone = 48π.

The total surface area painted black = 60% of 48π.

The total surface area painted black = 90.5 square feet to the nearest tenth.

Therefore, the result is 90.5 square feet to the nearest tenth.

To learn more about the cone;

brainly.com/question/16394302

#SPJ1

Answer: 5.3%

Step-by-step explanation:

The formula to compute rate of return is given by :-

Rate of return = \(\dfrac{\text{Selling price - investing price }}{\text{ investing price}}\times100\)

\(=\dfrac{1000-950}{950}\times100\%\\\\=\dfrac{50}{950}\times100\%\\\\=\dfrac{100}{19}\%\\= 5.3\%\)

Hence,  his rate of return = 5.3%

Answer:

Confidence Interval = (1.41, 1.59)

Step-by-step explanation:

To construct a confidence interval for the population mean, we can use the following formula:

Confidence Interval = sample mean ± (margin of error * standard error)

where the standard error is equal to the standard deviation divided by the square root of the sample size.

Given the information provided, we can calculate the standard error as:

standard error = 2.16 / sqrt(1370) = 0.058

Then, we can calculate the margin of error as 0.12.

Substituting these values into the formula, we get:

Confidence Interval = 1.5 ± (0.12 * 0.058)

Confidence Interval = (1.41, 1.59)

Therefore, we can interpret the 95% confidence interval as follows: we are 95% confident that the true population mean of the number of days that people feel lonely in the past 7 days is between 1.41 and 1.59. This means that if we were to take many samples of 1370 subjects and compute the confidence intervals for each sample using the same method, we would expect about 95% of the intervals to contain the true population mean.

Answer:

Simplify each radical, then combine.

3√8

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

6 √ 2 = 3√8