Choose the missing step in the given solution to the inequality −x − 3 < 13 3x. −x − 3 < 13 3x ___________ −4x < 16 x > −4 −4x − 3 > 13 2x − 3 < 13 −4x − 3 < 13 2x − 3 > 13

We can use the Pythagorean theorem to find the length of the diagonal of the rectangle. The Pythagorean theorem states that the square of the length of the diagonal of a rectangle is equal to the sum of the squares of the lengths of its sides.

Let the width of the rectangle be x. Then, we know that:

Area of the rectangle = length x width

110 = 11x

x = 10

So, the width of the rectangle is 10 units.

Using the Pythagorean theorem, we have:

\(Diagonal^{2}\) = \(length^{2}\) + \(width^{2}\)

      = \(11^{2}\) + \(10^{2}\)

        = 121 + 100

\(Diagonal^{2}\) = 221

Diagonal = sqrt(221)

Diagonal = 14.87 (rounded to the nearest tenth)

Therefore, the length of the diagonal of the rectangle is approximately 14.9 units (rounded to the nearest tenth).

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Answer:

Step-by-step explanation:

cos(∠X) = adj./hyp.

arccos(adj./hyp.) = ∠X

arccos(13/18) = 43.761...≈ 43°

answer:

yeah or the people whose questions are literally nothing but a g00gle search away it's like you do know that you're practically wasting your points right? lol

have a nice day!

may i have the brainliest pls (i'm trying to become a genius)

answer to your math question-

-3\(\sqrt[3]{7}\)

**the steps are in the picture**

If we multiply the second expression by using the distributive property and it matches the first expression, then Isaac is correct.

The distributive property is:

Let's use this property to multiply out the 2nd expression:

This expression is exactly the same as the original expression. Thus, Isaac is correct.

Answer:

Isaac's statement is correct

The sample space is a combination of these two dice as we have shown in the attachment

This is the defined to be the set of all of the possible outcomes that can exist or be possible in a random experiment.

The question has two dice. These dice are made up of numbers from 1 to 6  each.

Die A = {1,2,3,4,5,6}

Die b = {1,2,3,4,5,6}

The sample space would be pairs of two of these two dices. The total number in the sample space would be 36.

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\( \sf \: No. \: of \: touch \: downs \: \div \: No. \: of \: games\)

\( \tt45 \div 16 = > \frac{45}{16} = > 2.8125 \: \: \\ \tt \: or \\ \tt \: 3 \: when \: rounded \: off\)

Based on the information given the unit rate is: 2.81.

In order to determine the unit rate we will have to divide the touch down by the number of games.

Using this formula

Unit rate=Number of touch down/Number of games

Where:

Number of touch down=45

Number of games=16

Let plug in the formula

Unit rate=45/16

Unit rate=2.81

Inconclusion the unit rate is: 2.81.

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Step-by-step explanation:

pls make me as brainleist

Answer:

y=-1/2x+2

the y-intercept is at 2 and the slope is -1/2

meaning the y coordinates with move down 1 while the x coordinates will move 2 in a positive (right) direction

Answer: $78

Step-by-step explanation:

You start out with $1

$2 = second week $3 = third week $4 = fourth week $5 = fifth week $6 = sixth week $7 = seventh week $8 = eighth week $9 = ninth week $10 = tenth week $11 = eleventh week $12 = twelth week

then you add it all up = 1+2+3+4+5+6+7+8+9+10+11+12 that would equal to $78

Answer:

it would cost 14 dollars

Step-by-step explanation:

To construct a confidence interval for the proportion of defectives, we should use the plus four method.

Since the sample size is 20, which is not very large, the large-sample interval is not appropriate. Instep, we ought to utilize a strategy that's suitable for little test sizes. 

The plus four method is one such method that is commonly used when the sample size is small. Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.

The plus four strategies may be a strategy for building a certainty interim for an extent when the test estimate is little.

To utilize this strategy, we to begin with include four fanciful perceptions to our test, two of which are flawed and two of which are not imperfect.

This increments the test estimate to 24, which permits us to utilize the typical guess to the binomial dispersion to build the certainty interim.

The equation for the certainty interim utilizing the also four strategies is:

p ± zα/2 √((p + 2) (1 - p + 2) / n + 4)

where:

p is the test extent (number of defectives/test estimate)

zα/2 is the basic esteem from the standard typical dissemination at the level of importance α/2

n is the test estimate (counting the included four nonexistent perceptions)

Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.

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The domain of the relation in the graph is:

{-2, -1, 0, 2, 5}

A relation maps elements from one set (the domain) into elements from another set (the range).

Such that the domain is represented in the horizontal axis.

In the graph, we can see the points:

{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}

The domain is the set of the first values of these points, then the domain is:

{-2, -1, 0, 2, 5}

The correct option is the first one.

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Answer:

Step-by-step explanation:

Comment

There was a flat fee of 10 dollars

Each 1/4 hour brought in 3,75

The total charge was 55 dollars.

Equation

Charge = 10 + 4*3.75*x                     as an hourly rate,

Solution

55 = 10 + 4*3.75x                                Combine

55 = 10 + 15x                                       Subtract 10 from both sides

55-10= 10-10 + 15x

45 = 15x                                               Divide by 15

45/15 = 15x/15

x = 3 hours

Answer 3 hours  

Answer:

a rose bush cost $15.5 , a flat of petunias cost $9.75

Step-by-step explanation:

Let $x be the cost of rose bush and $y be the cost of a flat of petunias cost

3x + 7y = 114.75

2x + 6y = 89.5

x = 31/2 , y = 39/4

Answer:

sas

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

SAS

Answer:

x = 4

Step-by-step explanation:

Combine like terms.

3x- 2x = 1x

New Equation: 1x + 1 = 5

Subtract 1 from 5.

New Equation: 1x = 4

Divide 1 from both sides. 1x / 1 cancels out and 4 / 1 = 4.

Answer: {y = x + 3, y = -3 x - 1}

{x + 3 = y, 3 x + y + 1 = 0}

Step-by-step explanation:

I apologize, I am unable to create tables or upload scanned documents. However, I can assist you in calculating the amount each investor will receive in each year based on the given information.

To calculate the amount received by each investor in each year, we need to follow these steps:

Calculate the total profit earned by the bank in each year by subtracting the loss values from zero.

Year 1: 0 - (-78,000) = 78,000

Year 2: 0 - (-23,000) = 23,000

Year 3: 29,000

Year 4: 63,000

Year 5: 103,500

Calculate the total profit to be distributed among the investors in each year, which is 60% of the total profit earned by the bank.

Year 1: 0.6 * 78,000 = 46,800

Year 2: 0.6 * 23,000 = 13,800

Year 3: 0.6 * 29,000 = 17,400

Year 4: 0.6 * 63,000 = 37,800

Year 5: 0.6 * 103,500 = 62,100

Calculate the profit share for each investor based on their respective share of the investment.

Year 1:

Fahad: (30/100) * 46,800

Yashara: (50/100) * 46,800

Saud: (20/100) * 46,800

Fariha: (40/100) * 46,800

Younus: (25/100) * 46,800

Asif: (35/100) * 46,800

Similarly, calculate the profit share for each investor in the remaining years using the same formula.

By following the calculations above, you can determine the amount each investor will receive in each year based on their share of the investment.

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Answer:

24 miles per gallon

Step-by-step explanation:

To find the rate of miles per gallon divide the miles (216) by the gallons (9). 216/9 is 24. So the answer is 24 miles per gallon.

*Miles per gallon is underlined because it gives a hint on how to solve this. Miles per (divide) gallon.

Hope it helps!

Answer:

The rate is 24 miles per 1 gallon

Step-by-step explanation:

If 9 gallons = 216 miles, divide both sides by 9

so 1 gallons is 24 miles

The rate should be 24 miles per 1 gallon

Remember: Rate equals distance divided by time

(r=d/t)

Answer:

no

Step-by-step explanation:

They function by balancing their budgets through a combination of these revenue streams, along with careful budgeting and expenditure management.

Comparing a state without an income tax to one with an income tax, the key differences lie in the tax burden placed on residents and businesses. In the absence of an income tax, individuals in the state without income tax enjoy the benefit of not having a portion of their businesses may find it more attractive to operate in such states due to lower tax obligations. However, these states often compensate for the lack of income tax by imposing higher sales or property taxes.

States without a state income tax, such as Texas, Florida, and Nevada, function by generating revenue from various alternative sources. Sales tax is a major contributor, with higher rates or broader coverage compared to states with an income tax.

Property taxes also play a significant role, as these states tend to rely on this form of taxation to fund local services and public education. Additionally, fees on specific services, licenses, or permits can contribute to the state's revenue stream.

Comparing such a state to one with an income tax, the key differences lie in the tax structure and the burden placed on residents and businesses. In states without an income tax, individuals benefit from not having a portion of their earnings withheld, resulting in potentially higher take-home pay. This can be appealing for professionals and high-income earners. For businesses, the absence of an income tax can make the state a more attractive location for investment and expansion.

However, the lack of an income tax in these states often means higher reliance on sales or property taxes, which can impact residents differently. Sales tax tends to be regressive, affecting lower-income individuals more significantly. Property taxes may be higher to compensate for the revenue lost from the absence of an income tax.

Additionally, the absence of an income tax can result in a greater dependence on other revenue sources, making the state's budget more susceptible to fluctuations in the economy.

Overall, states without a state income tax employ alternative revenue sources and careful budgeting to function. While they offer certain advantages, such as higher take-home pay and potential business incentives, they also impose higher sales or property taxes, potentially impacting residents differently and requiring careful management of their budgetary needs.

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Answer:

1/3 of the container is filled

Step-by-step explanation:

1 times 3 = 3    3 divided by 3 = 1

Answer: #positive correlation explains an increase in quantity of hours studied resulting in an increase in a student's grade point average

Step-by-step explanation:

Positive correlation moves in the same direction.

it indicates the extent to which variables (variables referring to for example quantity of hours or grades) increase or decrease in parallel as asked in above question and more examples such: as increase in advertisement causing an increase in sales.

This helps explain the strength, nature of relationship between the variables and how they fluctuate together.

Answer:

I don't get the question

Step-by-step explanation:

Answer: b

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

Divide 14 by 70 to get the answer 0.2.  Since it is 0.2 it is also equivalent to 20% which is the percentage Marley has rolled a strike.

Answer:

Pythagorean Theorom: a^2+b^2=c^2

Take the largest number of each as C (hypotenuse)

3,4,5

(3)^2+(4)^2= (5)^2

25=25

Therefore it is a Pythagorean Triple.

8,15,17

(8)^2+(15)^2=(17)^2

289=289

Therefore it is a Pythagorean Triple.

Answer:

2.83 seconds

Step-by-step explanation:

In the given equation, h represents the height (in feet) of the rock above the river at time t seconds after it is dropped, and the equation is h = -16t^2 + 128.

When the rock reaches the river, its height above the river will be zero. So, we can set h = 0 in the equation and solve for t:

0 = -16t^2 + 128

Dividing both sides by -16, we get:

t^2 = 128/16

t^2 = 8

Taking the square root of both sides, we get:

t = ±√8

Since time cannot be negative, we take the positive square root:

t = √8 ≈ 2.83 seconds

Therefore, it will take the rock approximately 2.83 seconds to reach the river.

Answer:

Step-by-step explanation:

Area of a rectangle = Length * Width

Given the dimension

Length = 4x2 + 3x + 12

Width = 4x – 2

A) Area =  (4x^2 + 3x + 12)(4x – 2)

Open the parenthesis

= 16x^3-8x^2+12x^2-6x+48x-24

Area of land in Mathville = 16x^3+4x^2+42x-24

For the land in Algebratown

Area =  (5x^2 + x – 4)(2x + 1)

Area = 10x^3+5x^2+2x^2+x-8x-4

Area  = 10x^3+7x^2-7x-4

B) difference between the area of Mathville and the area of Algebratown

= 16x^3+4x^2+42x-24 -(10x^3+7x^2-7x-4)

= 16x^3+4x^2+42x-24 -10x^3-7x^2+7x+4

collect like terms

= 16x^3-10x^3+4x^2-7x^2+42x+7x-24+4

= 6x^3-3x^2+49x-20

C) The difference if x = 9

Substitute x = 9 into the resulting function

A(x) = 6x^3-3x^2+49x-20

A(9) = 6(9)^3-3(9)^2+49(9)-20

A(9) = 2187-243+441-20

A(9) = 2,365

Hence the difference of the areas if x = 9 is 2,365