Find the sum of - 3x^2 + 5x – 8 and -10x^2 – X – 3.

First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

Answer:

The 2nd one

Step-by-step explanation:

A triangle has to equal 180 and 115+32+33=180

Answer:

the second one

Step-by-step explanation:

the angles have to add up to 180 in total and that one does

Answer:

330.64 +2· 15.34 + 34.47 + 36.30·x ≤ 660

Step-by-step explanation:

Money he has:

$660 "Omar has $660 to spend "

Money he spends:

$330.64 "A new bicycle for $330.64." $330.64 +

+2· $15.34 "He buys 2 bicycle reflectors for $15.34 each"

+$34.47 "a pair of bike gloves for $34.47."

+x·$36.30 "new biking outfits for $36.30 each", where x-is the number of outfits he can buy

$330.64 +2· $15.34+$34.47 + $36.30·x

The inequality that can be used to determine x, the maximum number of outfits Omar can purchase while staying within his budget is:

$330.64 +2· $15.34+$34.47 + $36.30·x ≤ 660

The maximum number of outfits he can buy is:

330.64 +2· 15.34 + 34.47 + 36.30·x ≤ 660, we first do multiplication 2·15.34

330.64 + 30.68 + 34.47 + 36.30·x ≤ 660, add like terms

395.79 +36.30x ≤ 660, subtract 395.79 from both sides

36.30x ≤ 660 - 395.79, combine like terms 660 - 395.79

36.30x ≤ 264.21, divide both sides by 36.30

x ≤ 264.21/36.30, divide and round to the nearest hundredths

x ≤ 7.28

To stay on budget Omar can buy 7 outfits.

Answer:

92

Step-by-step explanation:

they all add up to 180 so you subtract 88 from it

mark me brainliest because  i know it is right

Answer:

256/5=51.2

Step-by-step explanation:

Answer:

51 with a remainder of one, or 51.2

Step-by-step explanation:

She has 256 donuts and 5 friends. I assume this is for long division practice, so I will do long division.

5 | 256

Look at the first term. Does 5 go into 2? No. Bring down the next term.

5|256

  25

Does 5 go into 25? Yes! How many times? 5. The first digit of our answer will be 5.

5|256 = 5

  25

Now to get rid of the 25, we multiply the number we took for our answer by the divisor. 5x5 = 25. Subtract this from 25 and bring down the next (and last term).

5|256 = 5

  25

 -25

     06

Does 5 go into 6? Yes. One time. Repeat what we did just now with this term now.

5|256 = 51

  06

   -5

     1

Does 5 go into 1? No, it is smaller. Therefore we have a remainder of one donut.

If we are trying to divide ALL of the donuts equally, we will have to cut up the donut into 5 equal pieces. They would each be 1/5 of the donut, or 0.2.

So adding this, each friend would get 51 donuts, with an extra donut for Mrs Rivas, or each friend would get 51.2/51 and 1/5 donuts.

Stochastic processes in finance are modeled using a formula such as the Geometric Brownian Motion equation, which is used to predict the random variations in asset prices and inform investor decisions.

Stochastic processes in finance are processes that are randomly determined, with the outcomes being uncertain. These processes are used to model financial markets, and are useful for forecasting future price movements. These processes are usually modeled using a formula, such as the Geometric Brownian Motion (GBM) equation:

dS = μSdt + σSdz

Where dS is the change in the price of an asset over a short time period, μ is the drift term (expected rate of return), S is the current price of the asset, dt is the time period, σ is the volatility, and dz is a random variable.

This equation is used to model the random variations of an asset’s price, and can be used to predict future price movements. By understanding the GBM equation and its parameters, investors can make more informed decisions when trading financial instruments.

Stochastic processes in finance are modeled using a formula such as the Geometric Brownian Motion equation, which is used to predict the random variations in asset prices and inform investor decisions.

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Complete question

What is the Geometric Brownian Motion equation and how is it used in stochastic processes in finance?

The explanatory variable in this scenario would be B. The length of the lesson.

An explanatory variable is one that is used to explain or predict the outcome of a dependent variable.

In this case, the instructor wants to determine if a longer lesson would improve student test scores.

Therefore, the length of the lesson is the explanatory variable because it is being used to predict or explain the outcome of the dependent variable, which is the student test scores.

The other options, the quality of the lesson, the number of students in the class, and the student test scores, are not being used to explain or predict the outcome of the dependent variable, so they are not the explanatory variable.

Hence, the correct answer is, option B: The length of the lesson.

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The "good enough" method of decision-making in mathematics is also known as the "approximation" or "heuristic" approach.

In mathematics, the "good enough" method of decision-making refers to the practice of using approximations or heuristic methods to arrive at a solution that is deemed satisfactory or acceptable. This approach acknowledges that obtaining an exact or precise solution may be challenging or time-consuming, especially in complex mathematical problems.

When faced with mathematical calculations or problem-solving tasks, individuals often employ approximation techniques or heuristics to arrive at a reasonable solution without going through the rigorous process of finding an exact answer. These approximation methods involve simplifications, estimations, or rounding of numbers to facilitate the decision-making process and achieve an outcome that is considered "good enough" for the intended purpose.

By using approximation methods, mathematicians and individuals in various fields can save time and effort while still obtaining reasonably accurate results. However, it is important to note that the "good enough" approach may introduce a margin of error, and the level of precision or accuracy required should be carefully considered based on the specific context or application.

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The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.

Given that,

For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290

We have to find the data of IQR.

We know that,

IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.

IQR Formula is Q₃ - Q₁

So,

Q₃ = 290

Q₁ = 200

Then ,

IQR = Q₃ - Q₁

IQR = 290 - 200

IQR = 90

Therefore, The value of IQR is 90.

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(a) Compounded annually: $191.87

(b) Compounded quarterly: $191.89

(c) Compounded continuously: $191.90

To determine the present equivalent value of $400 paid over a period of 7 years in each situation, we need to calculate the present value using the respective compounding methods and interest rates.

(a) Compounded Annually:

The formula to calculate the present value with annual compounding is:

PV = FV / (1 + r)^n,

where PV is the present value, FV is the future value (amount paid), r is the interest rate per compounding period, and n is the number of compounding periods.

Given:

FV = $400,

r = 12% = 0.12 (decimal form),

n = 7 years.

Substituting the values into the formula, we have:

PV = 400 / (1 + 0.12)^7.

Calculating this value, we find:

PV ≈ $191.87.

Therefore, the present equivalent value of $400 paid over 7 years with an interest rate of 12% compounded annually is approximately $191.87.

(b) Compounded Quarterly:

The formula to calculate the present value with quarterly compounding is:

PV = FV / (1 + r/n)^(n*t),

where n is the number of compounding periods per year (4 for quarterly compounding), and t is the number of years.

Given:

FV = $400,

r = 12% = 0.12 (decimal form),

n = 4 (quarterly compounding),

t = 7 years.

Substituting the values into the formula, we have:

PV = 400 / (1 + 0.12/4)^(4*7).

Calculating this value, we find:

PV ≈ $191.89.

Therefore, the present equivalent value of $400 paid over 7 years with an interest rate of 12% compounded quarterly is approximately $191.89.

(c) Compounded Continuously:

The formula to calculate the present value with continuous compounding is:

PV = FV * e^(-r*t),

where e is the base of the natural logarithm (approximately 2.71828), and t is the number of years.

Given:

FV = $400,

r = 12% = 0.12 (decimal form),

t = 7 years.

Substituting the values into the formula, we have:

PV = 400 * e^(-0.12*7).

Calculating this value, we find:

PV ≈ $191.90.

Therefore, the present equivalent value of $400 paid over 7 years with an interest rate of 12% compounded continuously is approximately $191.90.

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Answer:

1st on the left to the 1st on the right

2nd on the left to the 3rd on the right

3rd on the left to the 2nd on the right

Step-by-step explanation:

Answer:

14.3 km  (1 d.p.)

Step-by-step explanation:

To find the mean, divide the sum of all data values by the total number of data values.

If Mark ran a mean distance of 13.2 km in five days, we can use the mean distance for each of the 5 days in our calculation.

\(\begin{aligned}\implies \sf mean\:distance & = \sf \dfrac{13.2+13.2+13.2+13.2+13.2+20}{6}\\ & \sf =\dfrac{86}{6}\\\\ & = \sf 14.3\:km\:\:(1\:d.p.)\end{aligned}\)

There are 4 vertices with degree 3, and 2 vertices with degree 4. So, there are a total of 6 vertices in this graph.

In a simple undirected graph with 10 edges, 2 vertices have a degree of 4 and the rest have a degree of 3. To determine the number of vertices in this graph, use the formula:

Sum of degrees = 2 * number of edges

Let x be the number of vertices with degree 3. Then:

(2 * 4) + (3 * x) = 2 * 10

8 + 3x = 20

3x = 12

x = 4

We also know that two of the vertices have a degree of 4, which means that together they contribute 8 to the sum of all vertex degrees. This leaves us with 20 - 8 = 12 degrees left to distribute among the other vertices. Since the remaining vertices all have a degree of 3, we can set up the equation 3x = 12, where x is the number of remaining vertices. Solving for x, we get x = 4. Therefore, the graph has a total of 6 vertices - two with a degree of 4 and four with a degree of 3.

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well, let's move like the crab, backwards, let's start with b), then we'll do a)

b)

\({\Large \begin{array}{llll} y=ab^x \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=2\\ y=75 \end{cases}\implies 75=ab^2 \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=5\\ y=9375 \end{cases}\implies 9375=ab^5\implies 9375=ab^{2+3}\implies 9375=ab^2 b^3\)

\(\stackrel{\textit{substituting from the 1st equation}}{9375=\underset{ab^2}{(75)} b^3}\implies \cfrac{9375}{75}=b^3\implies 125=b^3 \\\\\\ \sqrt[3]{125}=b\implies \boxed{5=b}\hspace{5em}\stackrel{\textit{we know that}}{75=ab^2}\implies 75=a5^2\implies 75=25a \\\\\\ \cfrac{75}{25}=a\implies \boxed{3=a}\hspace{5em} {\Large \begin{array}{llll} y = 3(5^x) \end{array}}\)

a)

\(\begin{cases} x=0\\ y=j \end{cases}\implies j=3(5^0)\implies j=3(1)\implies j=3 \\\\\\ \begin{cases} x=4\\ y=k \end{cases}\implies k=3(5^4)\implies k=3(625)\implies k=1875\)

Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

The measure of the radius of the sphere is given as follows:

r = 359 cm.

The volume of a cylinder of radius r and height h is given by the equation presented as follows:

V = πr²h

Which is the base area given by πr² multiplied by the height h.

In the context of this problem, the parameters are given as follows:

The volume of the circumscribed cylinder is 2154.04π cm^3, hence the equation to solve for r is given as follows:

πr²h = 2154.04π

2πr³ = 2154.04π

2r³ = 2154.04

r = cube root of (2154.04/2)

r = 359.

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Answer:

If these are in exponent form -- the answer would be 2.01 x \(10^{15}\) > 2.8 x 10.3

Step-by-step explanation:

Look at the sheet attached.

Answer:

A)Reduction

B)0.5

Step-by-step explanation:

A)It gets smaller

B)A-D=12

A'-d'=6

6/12=0.5

Answer: 0 < x < 5.6

Step-by-step explanation:

The sides of triangle:

Any two sides added together have to be larger than the third side

So:

2.8 - 2.8 < x < 2.8 + 2.8

0 < x < 5.6

The greatest common divisor of 6, 14, and 21 is 1, and it can be written as 6(0) 14(0) 21(1).

To find the greatest common divisor (GCD) of 6, 14, and 21 and write it in the form 6r 14s 21t, we can use the Euclidean algorithm.

Step 1: Find the GCD of 6 and 14.
- Divide 14 by 6: 14 ÷ 6 = 2 remainder 2
- Replace 14 with 6 and 6 with 2: Now we have 6 and 2.
- Divide 6 by 2: 6 ÷ 2 = 3 remainder 0
- Since the remainder is 0, the GCD of 6 and 14 is 2.

Step 2: Find the GCD of the result from step 1 (2) and 21.
- Divide 21 by 2: 21 ÷ 2 = 10 remainder 1
- Replace 21 with 2 and 2 with 1: Now we have 2 and 1.
- Divide 2 by 1: 2 ÷ 1 = 2 remainder 0
- Since the remainder is 0, the GCD of 2 and 21 is 1.

Therefore, the GCD of 6, 14, and 21 is 1. In the given form 6r 14s 21t, r would be 0, s would be 0, and t would be 1.

So, the GCD of 6, 14, and 21 is 1, and it can be written as 6(0) 14(0) 21(1).

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Step-by-step explanation:

\(120=2^3 \times 3 \times 5\)

Answer:

2³ × 3 × 5

Step-by-step explanation:

To find the prime factors, first divide 120 by 2 until finished , then 3 and so on

120 ÷ 2 = 60

60 ÷ 2 = 30

30 ÷ 2 = 15

15 ÷ 3 = 5

5 ÷ 5 = 1 ← finish when 1 is obtained

Then

120 = 2× 2 × 2 × 3 × 5 = 2³ × 3 × 5

The inequality represent the given situation is 500+75w≤1000 and the number of weeks required save enough money is 7 weeks.

Given that, Viviana saved $500, but she needs a total of $1000 to buy a car.

Viviana earns $75 per week.

Let number of weeks required to earn the required money be w.

Here, 500+75w≤1000

75w≤500

w≤500/75

w≤6.67

Therefore, the inequality represent the given situation is 500+75w≤1000 and the number of weeks required save enough money is 7 weeks.

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Answer:

12 + 7s = NumOfShells

75 Shells on day 9

Step-by-step explanation:

You are able to find the number of shells on the ninth or nth day of the sequence of days  by finding the differences and calculating them

18. Perimeter of rectangle = 2(l + b)

l = 16m

b = 12m

Perimeter of rectangular park = 2 (12 + 16)

= 24 + 32

= 56m

Perimeter of square park = 56m

(given that, perimeter of rectangular and square park are equal)

Perimeter of square = 4a

4a = 56

a = 56/4

a = 14m

Area of square park = a²

= 14²

= 196m²

Answer:

53°

Step-by-step explanation:

As we can see that ∠3 and ∠7 are corresponding angles. Therefore,

Now calculate the angles of ∠3 and ∠7.

Now we can see that ∠3 and ∠1 are alternate angles and ∠7 and ∠1 are alternate exterior angles. Thus, we can say that

Hence the measure of ∠1 is 53°.

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Population in the year 2000= 198.85million

From the question, we get to know that the population in 2009 was 191.5 million.

And we have to find the population of the year 2000 which is 3.7%more than the 2009 population.

So let us take the population of the year 2000 to be x.

From the above, we can form an equation:

(population of year 2000 * ( 100-3.7 /100) = (population of year 2009)

i.e., x * 100-3.7/ 100 = 191.5

x * 96.3 = 191.5

x = 198.85

So 198.85 is the population of 2000.

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Answer:

You got this you don't get help

Step-by-step explanation:

Answer:

savannah is the answer.its correct