The length of a rectangle is 1 fr more than double the width, and the area of the rectangle is 45 ft^2. Find the dimensions of the rectangle.

To determine how much effort the gas undergoes as it changes from its original condition to its final one, Nora and Bob utilize the area underneath the line separating the two states and the first rule of thermodynamics.

When a gas changes from its initial condition to its final state, Nora and Bob explain how to compute the work that is done. They talk about compressing gas, thus something is being done to the gas.

You suggest using the area under the line separating the final and initial states to calculate the work done as well as the application of the first equation of thermodynamics, q=w.

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Answer:

Well, you didn't give a picture of the available mapping diagrams, so I can't tell you that.  However, I CAN tell you that the relation is not a function.

Step-by-step explanation:

A function occurs when each input only has one output.  For example if the input is 5, it can only give 1 y-value out.  It cannot give 2,3,4...etc values.  This relation is not a function because -5 maps to both -4 and 3.  That's one input to two outputs, which breaks the rules of a function.

Answer:

\( \boxed{ \bold{ \huge{\boxed{ \sf{(12.5 \: , \: 11.5)}}}}}\)

Step-by-step explanation:

Let the points be A and B

Let A ( 13 , 15 ) be x₁ , y₁ and B ( 12 ,8 ) be x₂ , y₂

Finding the midpoint

\( \bold{ \boxed{ \sf{midpoint \: = (\: \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2}) }}}\)

\(\dashrightarrow{ \sf{ (\frac{13 + 12}{2} , \: \frac{15 + 8}{2} )}}\)

\( \dashrightarrow {\sf {(\frac{25}{2} \: , \: \frac{23}{2} )}}\)

\( \dashrightarrow{ \sf{(12.5 \: , \: 11.5)}}\)

Hope I helped!

Best regards! :D

Answer: The interest rate per quarter is 5%/4 = 1.25%.

At the end of the first quarter, the balance is:

$1000 + $1000(1.25%) = $1000 + $12.50 = $1012.50

At the end of the second quarter, the balance is:

$1012.50 + $1012.50(1.25%) = $1012.50 + $12.66 = $1025.16

At the end of the third quarter, the balance is:

$1025.16 + $1025.16(1.25%) = $1025.16 + $12.82 = $1037.98

At the end of the fourth quarter, the balance is:

$1037.98 + $1037.98(1.25%) = $1037.98 + $13.00 = $1050.98

Therefore, the year-end balance is $1050.98 (rounded to the nearest penny).

Step-by-step explanation:

Answer:

greater than

Step-by-step explanation:

The standard deviation of a distribution σ = \(\sqrt{sum(x - mean)^2/ n}\)

where x is the score of each student

Adding 5 to 10 student scores would be = x+5 - mean

increasing the scores of the 10 students by 5, which in turn increases the standard deviation of the distribution.

The value of tα/2 of the t-test is 2.898

A t-test is a statistical test that is used to compare the means of two groups. tα/2 refers to the t critical value from the t-distribution table that corresponds to α/2

Given:  n = 18 and a 99% confidence interval

We have to find the critical t value for 99% confidence level and sample size of 18

Degrees of freedom = n - 1 = 17

α = 1 - 0.99 = 0.01

α/2 = 0.01/2 = 0.005

In the t table (check the attached image), we have to check the value against the column 0.005 and for 17 degrees of freedom.

The value obtained from the table is 2.898

Therefore, tα/2 = 2.898

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Answer:

  y = -1000x +11000

Step-by-step explanation:

Given:

  (x, y) = (sales price, number sold) = (3, 8000), (6, 5000)

Find:

  slope-intercept equation for a line through these points

Solution:

When given two points, it often works well to start with the 2-point form of the equation for a line.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

Filling in the given points, you have ...

  y = (5000 -8000)/(6 -3)/(x -3) +8000

  y = (-3000/3)(x -3) +8000

  y = -1000x +3000 +8000 . . . . eliminate parentheses

  y = -1000x +11000 . . . . the desired equation

Answer:

The given statement is False. When the interest is compounded half yearly the number of conversion periods will be two because a year comprises 12 months and has two periods of six months each.

Step-by-step explanation:

if it helped you please mark me a brainliest :))

Answer:

Middle bar

Step-by-step explanation:

6 + 4 = 10

10 + 5 = 15

The simplified trigonometric expression is given as follows:

\(-sin{\theta}\tan{\theta}(1 - \csc{\theta})\)

The expression is given by:

\(\frac{\cos{\theta}}{1 + \csc{\theta}} \times \frac{1 - \csc{\theta}}{1 - \csc{\theta}}\)

Applying the subtraction of perfect squares at the denominator, we have that the expression is given by:

\(\frac{\cos{\theta}(1 - \csc{\theta})}{1 - \csc^2{\theta}}\)

Applying an identity, we have that:

\(1 - \csc^2{\theta} = -\cot^2{\theta}\)

Hence the expression is:

\(-\frac{\cos{\theta}(1 - \csc{\theta})}{\cot^2{\theta}}\)

cot = cos/sin, hence:

\(-\frac{sin^2{\theta}(1 - \csc{\theta})}{\cos{\theta}}\)

tan = sin/cos, hence the simplified expression is:

\(-sin{\theta}\tan{\theta}(1 - \csc{\theta})\)

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Answer:

So, gradient is 2.

Step-by-step explanation:

Here Let's take points (3,4) and (4,6)

so

gradient(m) = (y2-y1)/(x2-x1)

= (6-4)/(4-3)

= 2/1

B — No

A function can only have one output value.

Answer:

x^2-5xy+4y^2

Step-by-step explanation:

In the equation we see only 1 example of like terms, 2xy-7xy=-5xy

So the simplified equation is

x^2-5xy+4y^2

This is your answer:

x^2+5xy+4y^2

Answer:

4^(5x) = 5x + 2

Step-by-step explanation:

Applying the definition of logarithm we can say that if logb(x) = y, then b^y = x;

Accordingly your equation log4 (5x+2) = 5x in exponential form should be 4^(5x) = 5x + 2

Answer:

Step-by-step explanation:

first arrange the data from ascending to descending order

since they are already in the order we dont need to change

first quartile(Q1)=(N+1)/4

=7+1/4

=8/4

=2 nd term

=43

second quartile(Q2 or median)=(N+1)/2

=7+1/2

=8/2

=4 th term

=44

third quartile(Q3)=3(N+1)/4

=3(7+1)/4

=3*8/4

=24/4

=6 th term

=49

Answer:$2094.00

Step-by-step explanation:Put in desmos calculator and put 4.7 percent of 2000 and you get 94 then add 94 to 2000 and you got $2094

Answer:(2x+7)+(2x+7)

Step-by-step explanation:

what you do is put 2x on the top and on the side and then seven on the top and on the side and then you got your answer

Answer:

$90.75

Step-by-step explanation:

First we convert kilograms to pounds.

1 kg = 2.2 lb

15 kg = 15 * 2.2 lb = 33 lb

Cost of shipping: $2.75/lb

Cost of shipping 33 lb: 33 lb * 2.75/lb = $90.75

Answer: $90.75

The cost of each pound of grass seed is $6.

A graph of the solution for the cost of each pound of grass seed is shown below.

In order to determine the cost of each pound of grass seed, we would assign a variable to the cost of each pound of grass seed and then translate the word problem into an algebraic linear equation.

Let the variable x represent the cost of each pound of grass seed.

Since Lori bought 3.6 pounds of grass seed and she was charged $22.90, including a tax of $1.30, an algebraic linear equation that best represent this situation is given by;

3.6x + 1.30 = 22.90

3.6x = 22.90 - 1.30

3.6x = 21.60

x = 21.60/3.6

x = $6.

In conclusion, we would sue an online graphing calculator to plot the solution for the cost of each pound of grass seed as shown in the image attached below.

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Answer:

A

Step-by-step explanation:

Lids

It is not clear how many lids the cylinder has or perhaps it is a solid. I'll say it has 2 lids.

The surface area of one lid = pi * r^2

r = 4

The surface area of one lid is pi*4^2 =16 pi

The surface area of two lids is 32*pi

Body

Length of the body = pi * d

Length of the body = 8 * pi cm

Height of the body = 18 cm

Area = l*h

Area = 8pi * 18 cm

Area = 144 pi

Total

Total Area = 32 pi + 144pi

Area = 176 pi cm^2

Answer:

\(2000 {(1 + \frac{.07}{12}) }^{5 \times 12} = 2835.25\)

Answer:

$0.76 per apple

Step-by-step explanation:

Answer:

$0.76 per apple

Step-by-step explanation:

Answer:

  15)  A) {3i√2, -3i√2}

  16)  C) {5i√2/3, -5i√2/3}

Step-by-step explanation:

15)

  \(6r^2=-108\\\\r^2=\dfrac{-108}{6}=-18\\\\r=\pm\sqrt{-18}\\\\\boxed{r=\pm3i\sqrt{2}}\)

__

16)

  \(9p^2-8=-58\\\\9p^2=-50\qquad\text{add 8}\\\\p^2=-\dfrac{50}{9}\qquad\text{divide by 9}\\\\p=\pm\sqrt{-\dfrac{50}{9}}\qquad\text{take the square root}\\\\\boxed{p=\pm\dfrac{5\sqrt{2}}{3}}\)

Answer:

1. (6,3)

2. x = 850, y = 150

Step-by-step explanation:

1. 3x-5y=3

4x-15y=-21

-9x +15y=-3 (multiply by -3)

4x-15y=-21

-5x=-30

x = 6

3(6)-5y=3

18-5y=3

-5y= -15

y= 3

so, x = 6, y = 3

2.

let x be regular

let y be reserved

x+y=1000

x= 5, y= 5+2=7 ("2 dollar more")

5x+7y=5300

x+y=1000

use the elimination method

x=850, y=150

so, the regular tickets were 850 and reserved tickets were 150 sold.

Answer:

£69.33

Step-by-step explanation:

4/3=1.33333333333 so that 52*1.33333333333 would convert  52 euros into 52 pounds

The volume of the hemisphere with a diameter of 60.9 inches rounded to the nearest tenth is 59131.7 inches³.

Given that,

Diameter of a hemisphere = 60.9 inches

We have to find the volume of the hemisphere.

We know that, radius is half the measure of the diameter.

Radius of the hemisphere = 60.9 / 2 = 30.45 inches

Volume of a hemisphere is,

Volume = 2/3 π r³

Here r is the radius

Substituting,

Volume = 2/3 π (30.45)³

             = 59131.7 inches³

Hence the volume is 59131.7 inches³.

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Solution

For this case we have the following equations:

y= 2x +1

y= -x +7

If we graph both equations we got:

Then the solution would be x= 2 and y= 5

The statements that are true about the graph of y < 2x+1 include the following:

C. The area below the line is shaded.

D. A solution to the inequality is (2, 3).

In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Based on the information provided, we have the following equation (inequality);

y < 2x + 1

The slope of the above equation (inequality) is 2 and the y-intercept of the boundary line is (1, 0). Additionally, the area below the dashed line must be shaded because the inequality symbol is less than (<).

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