if you predict the population of Hamilton County in 2003 should you use the average growth rate of 2000 - 2009 or the average growth rate of 2009 -2015

Answer:

x = 0.5

Step-by-step explanation:

2-5x/-3+4 < -x is simplified to 2-5x/1<-x because -3+4 is 1.

The values of the system using elimination method is,

x = 4, y = 3 and z = -1.

Elimination method:

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.

Given,

The given system of equations,

-4x + 6y - 2z = 4 -----------------(1)

-2x - 6y - 2z = -24 --------------(2)

x + 6y + z = 21 --------------------(3)

Here we need to solve this one by using elimination or substitution method.

Here we use the elimination method to solve this,

For that, first we have to add the equations (1) and (2),

Then we get,

=> (-4x + 6y - 2z) + (-2x - 6y -2z) = 4 + (-24)

=> -6x - 4z = -20 -------------------(4)

Now we have to add the equation (2) and (3),

Then we get,

=> ( -2x - 6y - 2z) + ( x + 6y + z) = -24 + 21

=> -x -z = -3 -------------------(5)

Now we have to multiply 6 with equation(5),

Then,

=> 6 x (-x - z) = 6 x -3

=> -6x -6z = -18 --------------------(6)

Now subtract equation (6) from equation (4),

Then,

=> (-6x - 6z) - (-6x - 4z) = -18 - (-20)

=> -6x -6z + 6x + 4z = -18 + 20

=> -2z = 2

=> z = -1

Apply the value of z on the equation (5),

=> -x - (-1) = -3

=> -x + 1 = -3

=> -x = -4

=> x = 4

Now apply the value of x and z on the equation (3),

Then we get,

=> 4 + 6y + (-1) = 21

=> 4 - 1 + 6y = 21

=> 3 + 6y = 21

=> 6y = 18

=> y = 3

Therefore, the solutions are x = 4 , y = 3 and z = -1.

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Answer:

bc=10

Step-by-step explanation:

12/bc=18/(33-18)

12/bc=18/15

18bc=12*15

18bc=180

bc=180/18

bc=10

Answer:

\(y1 = 4 \\ x1 = 3\)

\(y - y1 = m(x - x1)\)

\(y - 4 = 0(x - 3)\)

\(y - 4 = 0\)

\(y = 4\)

Answer:

part A.equation of an ellipse

part B.equation of a hyperbola

part C.domain of each conic section

Step-by-step explanation:

Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.

Answer:

Step-by-step explanation:

Let x be the number of miles you and your friend travel.We know that the cost of the bus ride is 60 cents per mile, so the total cost of the trip is 60 * x.This can be written as an equation as follows:Cost = 60 * xOr, more simply:Cost = 60xThis equation represents the relationship between the number of miles you and your friend travel and the cost of the trip. As the number of miles increases, the cost of the trip also increases at a rate of 60 cents per mile.

Answer:

Use the following Financial Ratios to measure financial performance against standards. In addition, analysts compare these ratios to industry averages (benchmarking), industry standards or rules of thumbs and against internal trends (trends analysis). Furthermore the most useful comparison when performing financial ratio analysis is trend analysis They are derived from thethree following financial

statements:

⚫Balance Sheet

•Income Statement

⚫Statement of Cash Flows

.5 Categories

The five (5) major categori in the financial ratios list include the following:

•Liquidity Ratios

•Activity Ratios

•Debt Ratios

•Profitability Ratios

•Market Ratios

Step-by-step explanation:

Sana makatulong

Ratios dealing with short-term debts are Liquidity Ratios; those gauging efficiency in using assets for sales are Activity Ratios, and those scrutinizing long-term debt handling are Leverage Ratios. Along with the calculations, observations and identification of trends and their driving factors are also necessary.

In finance and business, ratio analysis is a tool used for conducting quantitative analysis on a company's financial statements. It involves the calculation and interpretation of various financial ratios. The following are the answers to the question's blanks:

However, only calculating ratios is not enough; you must also observe and identify trends suggested by the analysis, as well as identify the factors that drive these trends. These additional steps provide context and deeper insights into the company's financial performance.

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Solution:

Consider the following equation:

putting together like terms, this equation is equivalent to:

this is equivalent to:

solving for n, we get:

so that, we can conclude that the correct answer is:

Collin's gross salary, after the 7% raise, for each 2-week pay period, will be approximately $1,159.17.

To calculate Collin's gross salary after the 7% raise for each 2-week pay period, we need to find the raise amount and add it to his current gross salary.

Collin's current gross salary is $1,083.34.

To find the raise amount, we multiply his current gross salary by 7% (or 0.07):

Raise amount = $1,083.34 \(\times\) 0.07

= $75.8338 (rounded to two decimal places)

Now, we add the raise amount to his current gross salary to find the new gross salary:

New gross salary = $1,083.34 + $75.8338 = $1,159.1738 (rounded to two decimal places)

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There are 50 predicted rolls for 5 in 300 times of rolls.

A probability is a number that reflects the chance or likelihood that a particular event will occur.

Given that, Janet rolls a 6-sided number cube 300 times,

Probability = (Favourable Outcomes)/(Possible Outcomes)

Favourable Outcomes: 5 (1 total)

Possible Outcomes: 1,2,3,4,5,6 (6 total)

Probability of a 5 in any given roll of a die = 1/6

1/6x300 = 50 = 50 predicted roll with 5.

Hence, There are 50 predicted rolls for 5 in 300 times of rolls.

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Answer:

f(x)=48 (4)x-1 это просто

Answer:

It is in Fact B.

Step-by-step explanation:

I Took this on Edge and it is right, if you have this question, then it is B.

The number of pennies weighing as much s earth is  193 × 10²⁴

Index forms are described as described as those forms that are used to represent numbers that are too large or small in more proper ways.

Other names for index forms are scientific notation and standard forms.

Ratio is described as the comparison of numbers or variables on the basis of their size.

It shows how many times one number contains another.

From the information given, we have that;

The earth weighs = 5. 972 × 10 ²⁴ kilograms

The penny weighs = 3.1 × 10 ⁻³ kilograms

Divide the values

= 5. 972 × 10 ²⁴/3.1 × 10 ⁻³

= 1.93 × 10 ²⁶

= 193 × 10²⁴

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Answer:

Step-by-step explanation:Base on the diagram, and the following question, the following are the answers to your question.

#1 Congruent Angle

#2 Congruent Sides

#3 Side Angle Side

I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarification

There are no two Real numbers that add up to -2 and multiply to 10.

The numbers that add up to -2 and multiply to 10, we can use algebraic methods. Let's denote the two numbers as x and y. Based on the given conditions, we can set up two equations:

Equation 1: x + y = -2

Equation 2: x * y = 10

To solve this system of equations, we can use substitution or elimination methods. Let's solve it using the substitution method:

1. Solve Equation 1 for x:

  x = -2 - y

2. Substitute the value of x in Equation 2:

  (-2 - y) * y = 10

3. Simplify the equation:

  -2y - y^2 = 10

4. Rearrange the equation to standard form:

  y^2 + 2y + 10 = 0

5. Since the equation is a quadratic equation, we can apply the quadratic formula:

  y = (-b ± √(b^2 - 4ac)) / (2a)

  In this case, a = 1, b = 2, and c = 10.

6. Calculate the discriminant: b^2 - 4ac:

  2^2 - 4(1)(10) = 4 - 40 = -36

7. Since the discriminant is negative, the quadratic equation does not have real solutions. Therefore, there are no real numbers that satisfy both conditions of adding up to -2 and multiplying to 10.

In conclusion, there are no two real numbers that add up to -2 and multiply to 10.

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The scaled triangle will be larger than the initial size by a factor 2.

The scaled square will be smaller than the initial side by a factor 4.

Dilation refers to a transformation that changes the size of a geometric figure without altering its shape.

Dilation involves scaling an object by a certain factor, that might result in  enlarging or reducing its dimensions uniformly in all directions.

Based on the given diagram, the new length and size of the object is calculated as follows;

For the triangle, (measure the length with ruler)

For the square; (measure the length with ruler)

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To find the limit of a convergent sequence, we can simply take the limit as n approaches infinity. Let's calculate the limits for each of the given sequences:

A. \(\sf\:\lim_{n \to \infty} \frac{5n}{n+7} \\\)

To find the limit, we divide the leading terms by n:

\(\sf\:\lim_{n \to \infty} \frac{5n/n}{(n+7)/n} = \frac{5}{1} = 5 \\\)

Therefore, the limit of the sequence A is 5.

B. \(\sf\:\lim_{n \to \infty} \frac{4-7n}{8+n} \\\)

Again, divide the leading terms by n:

\(\sf\:\lim_{n \to \infty} \frac{4/n - 7}{8/n + 1} = \frac{0 - 7}{0 + 1} = -7 \\\)

So, the limit of sequence B is -7.

C. \(\sf:\lim_{n \to \infty} \frac{8n - 500\sqrt{n}}{2n + 800\sqrt{n}} \\\)

Divide the leading terms by n:

\(\sf\:\lim_{n \to \infty} \frac{8 - 500\sqrt{n}/n}{2 + 800\sqrt{n}/n} \\\)

As n approaches infinity, the terms involving \(\sf\:\sqrt{n}/n \\\) tend to 0:

\(\sf\:\lim_{n \to \infty} \frac{8 - 500(0)}{2 + 800(0)} = \frac{8}{2} = 4 \\\)

Therefore, the limit of sequence C is 4.

To summarize:

A. The limit of sequence A is 5.

B. The limit of sequence B is -7.

C. The limit of sequence C is 4.

Answer: 60h + 75 < 200

                               _

Step-by-step explanation: You dont want to spend more than 200 dollars and every hour (H) is multiplied to 60

The maximum value of the function 7 - 2x - 3x² exists 22/3.

Given: 7 - 2x - 3x²

We must begin by estimating the first derivative:

Differentiating the equation above, we have:

dy/dx = 0 - 2 - 6x = - 2 - 6x

We know that dy/dx = 0 at maxima and minima

Therefore, we contain, - 2 - 6x = 0

6x = - 2

x = - 1/3

Substituting x = - 3 back into the equation of the curve yields the following result:

y = 7 - 2(-1/3) - 3(-1/3)² = 22/3

y = 22/3

Therefore, 22/3 exists the maximum value of y.

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a) Angle of line of sightFrom a point O in the school compound, Adeolu is 100 m away on a bearing N 35° E and Ibrahim is 80 m away on a bearing S 55° E. (a) How far apart are both boys? (b) (c) What is the bearing of Adeolu from point O, in three-figure bearings? What is the bearing of Ibrahim from point O, in three-figure bearings?The angle of the line of sight of Adeolu from the point O is given by:α = 90 - 35α = 55°.The angle of the line of sight of Ibrahim from the point O is given by:β = 90 - 55β = 35°.a) By using the Sine Rule, we can determine the distance between Adeolu and Ibrahim as follows:$

\frac{100}{sin55^{\circ}} = \frac{80}{sin35^{\circ}

100 sin 35° = 80 sin 55°=57.73 mT

herefore, both boys are 57.73 m apart. b) The bearing of Adeolu from the point O can be determined as follows:OAN is a right-angled triangle with α = 55° and OA = 100. Therefore, the sine function is used to determine the side opposite the angle in order to determine AN.

Thus:$$sin55^{\circ} = \frac{AN}{100}$$AN = 80.71 m.

To find the bearing, OAD is used as a reference angle. Since α = 55°, the bearing is 055°.

Therefore, the bearing of Adeolu from the point O is N55°E. c) Similarly, the bearing of Ibrahim from the point O can be determined as follows:OBS is a right-angled triangle with β = 35° and OB = 80. Therefore, the sine function is used to determine the side opposite the angle in order to determine BS.

Thus:$$sin35^{\circ} = \frac{BS}{80}$$BS = 46.40 m.

To find the bearing, OCD is used as a reference angle. Since β = 35°, the bearing is 035°.Therefore, the bearing of Ibrahim from the point O is S35°E. A boy walks 5 km due North and then 4 km due East. (a) Find the bearing of his current posi- tion from the starting point.

(b) How far is the boy now from the start- ing point?The boy's position is 5 km North and 4 km East from his starting position. The Pythagorean Theorem is used to determine the distance between the two points, which are joined to form a right-angled triangle. Thus

:$$c^2 = a^2 + b^2$$

where c is the hypotenuse, and a and b are the other two sides of the triangle. Therefore, the distance between the starting position and the boy's current position is:$$

c^2 = 5^2 + 4^2$$$$c^2 = 25 + 16$$$$c^2 = 41$$$$c = \sqrt{41} = 6.4 km$$

Therefore, the boy is 6.4 km from his starting point. (a) The bearing of the boy's current position from the starting point is given by the tangent function.

Thus:$$\tan{\theta} = \frac{opposite}{adjacent}$$$$\tan{\theta} = \frac{5}{4}$$$$\theta = \tan^{-1}{\left(\frac{5}{4}\right)}$$$$\theta = 51.34^{\circ}$$

Therefore, the bearing of the boy's current position from the starting point is N51°E.

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Answer:

f(7) = -196

Step-by-step explanation:

f(7) = -3(7)² - 7(7)

-147 - 49

-196

Answer

The sum of this sequence is  66

The type of triangle shown in the image is the Obtuse triangle.

What is an obtuse triangle?

A triangle is said to be an obtuse triangle if one of its angles measures more than 90 degrees.

In the given diagram, one of the angles measures more than 90 degrees.

So, the given triangle is an obtuse triangle.

Hence, the type of triangle shown in the image is the Obtuse triangle.

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Answer:c.

The list price, because it is derived from the price of a car.

Step-by-step explanation:

Tess is going to purchase a new car that has a list price of $29,190. She is planning on trading in her good-condition 2006 Dodge Dakota and financing the rest of the cost over four years, paying monthly. Her finance plan has an interest rate of 10.73%, compounded monthly. Tess will also be responsible for 7.14% sales tax, a $1,235 vehicle registration fee, and a $97 documentation fee. If the dealer gives Tess 75% of the listed trade-in price on her car, once the financing is paid off, what percent of the total amount paid will the interest be? (Consider the trade-in to be a reduction in the amount paid.)         ANSWER C

Answer: A. A down payment, because it reduces the amount financed.

Step-by-step explanation: I just took the quiz and got a 100%. Edge 2021

Answer:

∠QRS = 35°

∠Q = 116°

Step-by-step explanation:

∠QRS and ∠QRT are supplementary angles

Supplementary angles add up to equal 180

Thus, 145° + ∠QRS = 180

180 - 145 = 35

145 - 145 cancels out

we're left with ∠QRS = 35°

In order to find the measure of ∠Q

We must find y

We have already identified that ∠QRS = 35°

Which means that we can find y by using the triangle angles rule which states that all angles in a triangle add up to equal 180

So 180 = y + 4y + 35

now we solve for y

step 1 combine like terms

y + 4y = 5y

we now have 180 = 5y + 35

step 2 subtract 35 from each side

180 - 35 = 145

35 - 35 cancels out

now we have 145 = 5y

step 3 divide each side by 5

5y / 5 = y

145 / 5 = 29

We're left with y = 29

Now we can find ∠Q

To do this we substitute y for 29

∠Q = 4(29)

4 * 29 = 116

Hence ∠Q = 116

Answer:

145=4y+y { exterior angle of triangle is equal to the sum of its opposite interior angle}

measure of / Q =4y =4×29=116°

measure of angleQRS

let unknown angle be'x'

hope it helps

Answer:

x=6.8

Step-by-step explanation:

x^2+21^2=25^2

x=√46=6.8

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Answer:

Step-by-step explanation:

The four sides of a square are equal.

7x + 3 = 5x + 8             Subtract 5x from both sides

7x - 5x + 3 = 8              Combine the left

2x + 3 = 8                     Subtract 3 from both sides

2x = 8-3                        Combine the right

2x = 5                           Divide by 2

x = 5/2

x = 2.5

That is not quite the answer

Side = 7x + 3

Side = 7*2.5 + 3

Side = 17.5 + 3

Side = 20.5

Answer:

c

Step-by-step explanation

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