Solve for the value of q

Dimensions of envelope will be Length will be (x + 3) = (9 + 3) = 12 and Breadth will be x = 9.

Envelope can be considered as the shape of rectangle.

Rectangle has length and breath which can be considered as the sides of envelope.

Now we have given one side of envelope is 3 inches longer than the other side of envelope.

let side of envelop be x inches than other side will be (x + 3) inches.

Now we have also given that the area of envelop is 108 in².

The Area of rectangle = (length)(breadth).

let length of envelop be (x+3) as its bigger than its breadth x.

∴ Substitute area of rectangle with the area of envelope.

∴ (x + 3)(x) = 108.

∴ x² + 3x = 108.

∴ x² + 3x - 108 = 0.

∴ x² + 12x -9x - 108 = 0

∴ x(x + 12) -9(x +12) = 0

∴ (x-9) (x +12) = 0

∴ (x-9) = 0 and (x +12) = 0

∴ x = 9 and x = -12

Now as dimensions cannot be negative ∴ x = -12 is rejected.

∴ x = 9 is considered

∴ Length will be (x + 3) = (9 + 3) = 12.

∴ Breadth will be x = 9.

To know more about area of rectangle click the link below

https://brainly.com/question/2607596

#SPJ13

It is an illustration of theoretical probability.

Theoretical probability establishes the probability of certain events occurring.

The ratio of the entire number of conceivable possibilities to the intended outcome is known as theoretical probability.

In this case, the intended consequence is earning a 2, which is only one of the six potential possibilities. The possibility of receiving a 2 is.

Observance determines empirical probability. Nothing about the observing of the specified episode is indicated in the question, hence it is not an empirical probability.

Learn more about theoretical probability at

https://brainly.com/question/14969846?referrer=searchResults

#SPJ4

The two roots obtained for the quadratic equation by quadratic formula are 1.5 and 4.

If the quadratic equation is ax² + bx + c = 0.

Then, the roots are given by x = [-b ± √(b² - 4ac)]/2a.

The quadratic equation is given as; 2x² - 5x - 12 = 0.

On comparing with the standard form;

Put the values in the formula,

x = [-b ± √(b² - 4ac)]/2a.

x = [-(-5) ± √((-5)² - 4×2×(-12))] / 2×2

On simplification,

x = [5 ± 11]/4

There will be two roots of equation,

a; x =  [5 + 11]/4

x = 16/4 = 4

b ; x = [5 - 11]/4

x = 6/4 = 1.5

Thus, the two roots obtained for the quadratic equation by quadratic formula are 1.5 and 4.

To know more about the quadratic formula, here

https://brainly.com/question/1214333

#SPJ13

Answer:

B

Step-by-step explanation:

the most answered was 2. 2x250=500

Answer: Machine A is faster

Step-by-step explanation:

1) Make them into fractions.

Machine A: 6/20

Machine B: 1/4

2) Make the denominator the same

Machine A: 6/20

Machine B: 1/4 * 5/5

Machine A: 6/20

Machine B: 5/20

6/20 > 5/20

Machine A > Machine B

In a multiple regression problem involving two independent variables X1 and X2, if b1 is computed to be +2.0, it means that. the relationship between X1 and Y is significant .

Multiple regression is a statistical method that may be used to assess a single dependent variable and several independent variables. Multiple regression analysis use known independent variables to anticipate the value of a single dependent variable. Each predictor value is assigned a weight, which indicates how much each predictor contributed to the overall forecast.

In a multiple regression problem involving two independent variables X1 and X2, if b1 is computed to be +2.0, it means that. the relationship between X1 and Y is significant .

The estimated value of Y increases by an average 2 units for each increase of 1 unit of X1, holding X2 constant.

learn more about multiple regression here :

brainly.com/question/3737733

#SPJ4

Answer: 1.236, -3.236 or [tex]-1-\sqrt{5} and -1+\sqrt{5}[/tex]

Step-by-step explanation:

2 = x^2 + 2x -2

x^2 + 2x - 2 -2

x^2 +2x -4

put into quandratic formula

The expression that represents the perimeter of the other shape is 9x + 6y.

Option(b) is the correct one.

Expressions in mathematics are mathematical statements that comprise at least two terms that contain numbers, variables, or both, and are joined by an operator. Addition, subtraction, multiplication, and division are all examples of mathematical operators.

Given:

Expression for the sum of the perimeter of two shapes = 13x + 4y

Expression for the perimeter of one shape = 4x - 2y

Expression for the perimeter of the other shape is,

(13x + 4y) - (4x - 2y)

= 13x - 4x + 4y + 2y (combine the like terms and solve)

= 9x + 6y

To learn more about expressions visit:

https://brainly.com/question/21960615

#SPJ13

A1) Using estimate, the solutions to the following are:

A) is -14.

B) is 31.

C) is 38.

D) is -74.

1. The remaining amount in Brock's account after writing the checks is $2,290.

2. Linda put $831 in her savings account after meeting her expenses.

An estimate is a rough calculation.

To do an estimate, the figures may be appropriated or rounded up.

A. –42.3 ÷ 3.4

= -14 (–42 ÷ 3)

B. 16.1 – (–14.7)

= 31 (16 – (–15)

C. –15.52 + 54.25

= 38 (–16 + 54)

D. ‐67.8 ‐ 5.72

= -74 (‐68 ‐ 6)

The amount in Brock's checking account = $3,084

Checks:

Rent $350

Auto repair $275

Loan payment of $169

Total amount for checks = $794

Remaining amount = $2,290 ($3,084 - $794)

The total amount of the paycheck = $2,312

Expenses:

Rent $157

Food $322

Child care $478

Transportation $234

Miscellaneous expenses $290

Total expenses = $1,481

Savings account = $831 ($2,312 - $1,481)

Learn more about estimates at https://brainly.com/question/658983

#SPJ1

The residual for the prime interest rate is 0.88.

What is a regression equation?

An equation created to explain the relationship between independent and dependent variables is known as an estimated regression equation in statistics.

The relationship between the dependent and study variables is first hypothesized using a simple or multiple regression model. The most popular technique for creating estimates of the model variables is the least squares method.

Predicting the worth of the dependent variable while values for the predictor factors are known is one of the main uses of both the estimated regression equation.

From the given regression model,

n = 5  

∑X = 40  

∑Y = 47  

∑XY = 333  

∑X² = 370  

n∑X.Y - ∑X.∑Y  = -215  

n∑X²  - (∑X)²    =  250  

∑Y.∑X² - ∑X∑XY     = 4070  

FOR REGRESSION EQUATION  

 a= ( ∑Y.∑X² - ∑X∑XY )/ (n∑X²  - (∑X)² )         =  16.28

 b = (n∑X.Y - ∑X.∑Y) / (n∑X²  - (∑X)² )            =    -0.86

 ŷ = b x + a  = -0.86 x + 16.28  

predicted value  at   x = 6   ;

ŷ = (-0.86 * 6) + 16.28 = 11.12

Residual = y -  ŷ = 12 – 11.12  = 0.88

The residual for the prime interest rate is 0.88.

To learn more about regression equations:

https://brainly.com/question/25987747

#SPJ4

Answer:

6R+12

Step-by-step explanation:

Your options are wrong maybe...
3/8(16R+32)

= 6R+12

The equation is formed and solved below.

What is an equation?

A mathematical equation is a calculation that uses the matching sign to represent the similarity of two expressions. A polynomial equation is the most prevalent kind of equation. An equation can be compared to a scale on which objects are weighed. When the two pans are filled with the same amount of anything (like grain), the scale will balance and the weights will be considered equal. To maintain the scale in balance, if any grain is taken out of one of the balance's pans, an equal amount must be taken out of the other pan. More broadly, if the identical operation is carried out on both sides of an equation, the equation remains in balance.

Lane ate = x marshmallows (let)

Chad ate = x + 5 marshmallows

Jeff ate = (x + 5) + 7 = x + 12 marshmallows

Then, the equation formed is

x + x + 5 + x + 12 = 254

The equation is solved as

3x + 17 = 254

or, 3x = 254 - 17

or, x = 237/3 = 79

Jeff ate = 79 + 12 = 91 marshmallows

To know more about an equation, click on then link

https://brainly.com/question/27893282

#SPJ9

The equation of a line in the point-slope form will be:

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

As per the table, the equation of this line in the point-slope form will be:

(30 - 25) = m (130-120)

Now,

(30 - 25) = m (130-120)

⇒ 5 = m (10)

⇒ m = 10/5 = 2

So, the slope of this line = m = 2

In the Slope - Intercept form, the equation is written as:

y = mx + c

⇒ y = 2x + c

The value of c = 0.

To learn more about the Slope of a line, refer to:

https://brainly.com/question/14511992

#SPJ13

i feel like god oo yeah i feel like god oo yeah take my glasses of i can seethm

ez xd trash lol imagine needing brainly trash ah

Step-by-step explanation:eeeezzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answer:

(-2, 9)

Step-by-step explanation:

hope it helped <3333 :D

This sample statistic suggests that we might expect 2833 of the 7,600 registered voters to vote for Brown.

Due to that, There are 7,600 registered voters in Raleigh. Brown and Feliz are the two candidates running for city council in the upcoming election. A telephone survey of 550 randomly chosen registered voters was performed the day before the election. 205 people declared they would support Brown, 317 people would support Feliz, and 28 people were unsure.

The sample statistic for the proportion of voters surveyed who said they'd vote for Brown can be calculated as follows:

p = 205/550 =0.3727

Expected number of voters who vote for Brown:

The expected number of voters who vote for Brown can be calculated as follows:

E voters who vote for Brown =7600 *0.3727=2832.52= 2833 (Approx.)

This sample statistic suggests that we might expect 2833 of the 7,600 registered voters to vote for Brown.

To learn more about statistic  visit:https://brainly.com/question/23091366

#SPJ4

The mean of the given data is 30 students and the standard deviation is 5.2.

What is standard deviation?

The standard error of either a statistic (such as the sample mean) and the standard deviation of a sample or population are fundamentally separate but related concepts.

The standard deviation of the collection of means that would be discovered by taking an unlimited number of multiple samples from the population and calculating a mean for each sample is the sampling mean's standard error.

The sample standard deviation reduced by the sample size is used to estimate the mean's standard error, which turns out to be equal to the population variance times the square root of the random sample.

Given that,

5,000 students, 10 % of which are left-handed.

A new lecture hall is being planned that will seat 300 students.

The mean is 30 students

standard deviation is 5.2 students

The mean of the given data is 30 students and the standard deviation is 5.2.

To learn more about mean :

https://brainly.com/question/1136789

#SPJ4

Considering the given scale, it is found that:

1. The distance between the two cities is of 325 km.

2. 43.3 cm should be used to represent the distance.

3. The scale of the map is of 1:9000000.

A scale is how much each unit in the drawing represents in actual distance.

For item 1, the scale of 1:5000000 means that each unit on the graph represents 5,000,000 units of actual distance.

The distance on the map is of 6.5 cm, hence the actual distance is of:

6.5 x 5000000 = 32,500,000 cm = 325 km.

For item 2, the scale is of 1:1500000, meaning that each cm of drawing is equivalent to 1,500,000 cm of real distance = 15 km.

Hence, the number of centimeters to represent a distance of 650 km is given by:

650/15 = 43.3 cm.

For item 3, we have that 7 cm represent 630 km = 63,000,000 cm, hence:

63,000,000/7 = 9000000.

Meaning that the scale is given by:

1:9000000.

More can be learned about scales at https://brainly.com/question/13036238

#SPJ1

Answer:

Don't know

Step-by-step explanation:

The inequality which models the given situation will be;

⇒ x < - $10

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The condition is;

''A bank sends an e-mail to its customers when their accounts fall below -10$.

Now,

Let the total balance in his account = x

Then, we can formulate;

The inequality for the given situation is;

⇒ x < - $10

Therefore,

The inequality which models the given situation will be;

⇒ x < - $10

Learn more about the inequality visit:

https://brainly.com/question/17136458

#SPJ1

Good evening,

Answer:

-512/390625

Step-by-step explanation:

an=a1 •r^n-1

a10=5 • -0.4^10-1

a10=5 • -0.4^9

a10=5 • -512/1953125

a10= -512/390625

Answer: x = 8

Step-by-step explanation:

(x + 3)^2 = 121

Take the square root of both sides

x + 3 = 11

x = 8

Plug it back in to double check

(8 + 3)^2 = 121

(11)^2 = 121

121 = 121

Answer:

See attached worksheet.

Step-by-step explanation:

4,31,784.999454  will be the population of Tacoma in 2010 .

The exponent of a number is the number of times it is multiplied by itself.

Positive, negative, zero, and rational/fractional exponents are the four kinds.

The value of the number may be deduced from the exponent, which is the total number of times the base number must be multiplied by the same base.

If the population at the beginning of 2000 was 200,000

Then the growth equation is P = Po(1.08)(y)     where year year 2000 was year 1 or y = 1

At the end of 2015 or  2010-2000 = 15 years later, or at the end of the 15th year:                                        

Population  P(10) = (200,000)(1.08)10 = 4,31,784.999454

learn more about exponents here :
brainly.com/question/5497425

#SPJ4

The total weight of the samples 11,460 years ago is 6 pounds

What is Exponents?

Exponentiation is a mathematical process that involves the base b and the exponent or power n. It is represented as b^n and is pronounced as "b to the n."

The exponential process of radioactive decay is depicted by

[tex]A_{t}[/tex] =[tex]A_{0}[/tex] [tex]e^{-kt}[/tex]

where  = Amount of the radioactive element after t years

[tex]A_{0}[/tex] = Initial amount

k = Decay constant

t = time in years

The carbon-14 half life is 5730 years.

[tex]A_{0}[/tex]/2 = [tex]A_{0}[/tex][tex]e^{-5730k}[/tex]

1/2 = [tex]e^{-5730k}[/tex]

At this point, we take ln (Natural log) on both sides.

ln(1/2) = ln [ [tex]e^{-5730k}[/tex]]

-ln(2) = -5730kln(e)

0.69315 = 5730k

k = 0.69315 / 5730

k = 1.21 x [tex]10^{-4}[/tex]

We now need to determine the weight in pounds of the C-14 samples that were taken for the remaining quantities.

5/8 =[tex]A_{0}[/tex] [tex]e(^{-1.21 * 10^{-4} * 11460})[/tex]

5/8 = [tex]A_{0}[/tex]    [tex]e(^{-1.3863})[/tex]

[tex]A_{0}[/tex] = (5/8)              [tex]e(^{-1.3863})[/tex]

 [tex]A_{0}[/tex] = 5/8 x 4

[tex]A_{0}[/tex] = 5/2

[tex]A_{0}[/tex] = 2.5pounds

Similarly for 7/8 pound

 7/8 = [tex]A_{0}[/tex]  [tex]e(^{-1.21 * 10^{-4} * 11460 })[/tex]

7/8 =      [tex]A_{0}[/tex]  [tex]e(^{-1.3863 })[/tex]

 [tex]A_{0}[/tex] =  (7/8) [tex]e(^{-1.21 * 10^{-4} * 11460 })[/tex]

  [tex]A_{0}[/tex] = 7/8 x 4

[tex]A_{0}[/tex] = 7/2

[tex]A_{0}[/tex] = 3.5 pounds

Hence, The total weight of the samples 11,460 years ago 2.5 + 3.5 = 6pounds

To learn more about Exponents click on the link

https://brainly.com/question/11975096

#SPJ9

Answer:

(a) Let width of garden be w m.

Perimeter = length + width + length + width

Substitute the values into the equation.

89 + w + 89 + w = 292

Simplify and solve for w.

2w + 178 = 292

2w = 114

w = 57

Hence, width of garden is 57 m.

(b) Let length of window be L cm.

Area = length × width

Substitute the values into the equation.

L × 83 = 7968

Simplify and solve for L.

83L = 7968

L = 96

Hence, length of window is 96 cm.

The fundamental guidelines and procedures to simplify any algebraic statement are as follows:By multiplying factors, remove any grouping symbols like brackets and parenthesis.

If the words contain exponents, use the exponent rule to eliminate grouping.Add or subtract like terms to combine them.

Simplify: -42 30(cubed) / 12 10 (cubed)?

By removing the denominators, convert fractions to integers.

Because the denominators of our two fractions differ, we must calculate the Least Common Denominator and rewrite our fractions using the common denominator as needed. LCD(-42/30, 12/10) = 30

Now that the denominators of our two fractions are similar, we may multiply them both by 30 to get rid of the denominators.

The final result is: -42/30: 12/10 = -42: 36

With the highest common factor, attempt to further reduce the ratio (GCF).

GCF is 6 for -42 and 36.

Divide both terms by the GCF, 6, as follows: -7 36 6 = 6; -42 6 =

By dividing both parts by the GCF = 6, the ratio -42:36 can be reduced to its smallest terms: -42:36 = -7:6.

Therefore:

-42/30 : 12/10 = -7 : 6

To learn more about

https://brainly.com/question/27985272

#SPJ9