Wich of the following is the complete list of roots for the polynomial function f(x) = (x²+2x-15) (x²+8x+17)?
-5, 3
-5, 3, -4 + i, -4-i
-5, 3, -4+1, 4+i
-4+i,-4-i

Answer:

9 miles

Step-by-step explanation:

The answer is 9 miles because if you divide 0.6 mile by 4 minutes, you will have an answer of 9 miles an hour, as 0.6x15=9. In a full hour, Mike would walk 9 miles.

To determine which events are independent of the event that the first die is 4, we need to consider whether the probability of each event is affected by the outcome of the first die.

A. The second die is 2:

The probability of the second die being 2 is not affected by the outcome of the first die. Therefore, event A is independent of the event that the first die is 4.

B. The sum is 6:

The sum of the two dice will be 6 only if the second die is 2. Since event B depends on the outcome of the second die, it is not independent of the event that the first die is 4.

C. The sum is 7:

The sum of the two dice will be 7 if the second die is 3. Since event C depends on the outcome of the second die, it is not independent of the event that the first die is 4.

D. The sum is even:

The sum of the two dice will be even if the second die is 2, 4, or 6. Since event D depends on the outcome of the second die, it is not independent of the event that the first die is 4.

In summary, event A (the second die is 2) is the only event that is independent of the event that the first die is 4.

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Answer:

640

Step-by-step explanation:

In order of operations, do exponents before multiplying.

8 squared= 64

64 x 10=640

Investing $3,500 at 6% annual interest rate, compounded monthly, and depositing $100 at the end of each month yields a total value of $4,978.74 after 12 months.

To calculate the final value of the investment, we need to consider the monthly deposits as well as the compounded interest.

First, let's calculate the monthly interest rate in decimal form:

0.5% = 0.005

Next, we can use the formula for the future value of an annuity to calculate the value of the monthly deposits:

PMT x [((1 + r)^n - 1) / r]

where PMT is the monthly deposit, r is the monthly interest rate, and n is the number of months.

Assuming you deposit $100 at the end of each month, we have:

PMT = $100

r = 0.005

n = 12 (since there are 12 months in a year)

PMT x [((1 + r)^n - 1) / r] = $100 x [((1 + 0.005)^12 - 1) / 0.005] = $1,268.24

Therefore, the total value of the monthly deposits after 12 months is $1,268.24.

Now, let's calculate the compounded interest on the initial investment of $3,500.00. We can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where A is the final amount, P is the principal (initial investment), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

Plugging in the values, we get:

A = $3,500(1 + 0.06/12)^(12*1) = $3,710.50

Therefore, the total value of the investment after 12 months is:

$3,710.50 + $1,268.24 = $4,978.74

So, after 12 months, the investment would be worth $4,978.74 if you deposit $100 at the end of each month.

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In the given formula we have variables:

If we have to solve it for P then it should be called 'Principal' or 'Loan amount'.

If we have to solve it for n then it should be called 'Number of payments' or 'Number of installments'.

Since n is the power of a number we need logarithm to solve it for n.

Answer:

"Principal (loan amount)"

"Term of the loan (in months)" or "Number of monthly payments"

Logarithms

Step-by-step explanation:

Monthly Payment Formula

\(M=\dfrac{Pr\left(1+r\right)^n}{\left(1+r\right)^n-1}\)

where:

If we solve for P, the name of the formula is "Principal (loan amount)".

If we solve for n, the name of the formula is "Term of the loan (in months)" or "Number of monthly payments".

When solving for n, we need to use logarithms:

\(\boxed{\begin{aligned}M&=\frac{Pr\left(1+r\right)^n}{\left(1+r\right)^n-1}\\\\M(\left(1+r\right)^n-1)&=Pr\left(1+r\right)^n\\\\\frac{\left(1+r\right)^n-1}{\left(1+r\right)^n}&=\frac{Pr}{M}\\\\1-\frac{1}{\left(r+1\right)^n}&=\frac{Pr}{M}\\\\\frac{1}{\left(r+1\right)^n}&=1-\frac{Pr}{M}\\\\\left(r+1\right)^{-n}&=1-\frac{Pr}{M}\\\\\ln \left(r+1\right)^{-n}&=\ln \left(1-\frac{Pr}{M}\right)\\\\-n\ln(r+1)&=\ln\left(1-\frac{Pr}{M}\right)\\\\n&=\frac{-\ln\left(1-\frac{Pr}{M}\right)}{\ln(r+1)}\end{aligned}}\)

Answer:

3 times 25 = 75

Step-by-step explanation:

Plz vote Brainliest

There are 75 lasagna dinners are likely to be needed for a flight with 360 passengers.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

An airline food service finds that a recent flight of 120 passengers ordered dinner as depicted in the table to the right.

Here, Number of Lasagna for 120 passengers = 25

Hence, For 360 passengers number of lasagna is,

⇒ 120 / 35 = 360 / x

Where, x is umber of lasagna for 360 passengers

⇒ x = 360 × 25 / 120

⇒ x = 75

Thus, There are 75 lasagna dinners are likely to be needed for a flight with 360 passengers.

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Answer:

Yes.

Step-by-step explanation: 4.99191919

4.992

4.993

4.994

4.995

4.996

4.997

4.998

4.999

4.9999999999999999

ANSWER:

x = 4 or 12

STEP-BY-STEP EXPLANATION:

Finding the zero(s) of the function in a table is locating the point(s) when y = 0 .

Therefore, in this case the zeros occur when x = 4 and when x = 12.

The correct answer is option c) infinitely many solutions..

To solve the system of equations using the substitution method, we'll substitute the value of y from the second equation into the first equation and solve for x.

Given:

-6x + 2y = 8 ---(1)

y = 3x + 4 ---(2)

Substitute equation (2) into equation (1):

-6x + 2(3x + 4) = 8

Simplify:

-6x + 6x + 8 = 8

8 = 8

We obtained a true statement (8 = 8), which means the two equations are equivalent. This solution shows that the system has infinitely many solutions.

Therefore, the correct answer is option c) infinitely many solutions..

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Answer:

BC = 22

Step-by-step explanation:

Hey There!

So if you see those two red lines on each side of the triangle than that indicates that the sides are congruent to each other  so the first step is to right an equation to solve for d and because the sides are congruent the equation would be

5d-3=3d+7 and now we just solve for d

step 1 subtract 3d from each side

5d-3d=2d

3d-3d cancels out

now we have

2d-3=7

step 2 add 3 to each side

-3+3 cancels out

3+7=10

now we have

2d=10

step 3 divide each side by 2

2/2 cancels out

10/2=5

d=5

Now we just plug in 5 for d for side bc

3x5=15

15+7=22

so BC = 22

The1AndOnlyMarkus

Answer:

22

Step-by-step explanation:

make the two sides measurements equal. solve for d..

d=5... substitute d in bc formula and u should get 22

The 11-4 skills practice areas of regular polygons and composite figures involve finding the areas of different geometric shapes using specific formulas and methods.

To find the area of regular polygons, you can use the formula (1/2) x apothem x perimeter.

For composite figures, you can break the shape into smaller, more manageable shapes like rectangles, triangles, or circles, and then calculate the area of each component before adding them together.

Hence, The 11-4 skills practice areas of regular polygons and composite figures teach you to find areas using the appropriate formulas and methods, improving your geometry understanding and problem-solving abilities.

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Answer:

The third option (with the y values of -3, -5, -7, and -9)

Step-by-step explanation:

The y values in the third table are increasing by the same amount, indicating that the rate of change is constant, which is a key quality of a linear function.

Answer:

81

Step-by-step explanation:

multiple 18 by 4 and you get 72 since you know you half of 18 is 9 you at 9 miles and the 9 comes from the left over .5

The circulation as a function of time is given by C(x) = 200x + 3400. The circulation 2 months from now will be 3800 units, and the circulation will reach 6734 newspapers after approximately 16.67 months.

a) The circulation can be expressed as a linear function of time. Let C(x) represent the circulation after x months. We are given that three months ago the circulation was 3400, and today it is 4400. So, we can use the two points (0, 3400) and (3, 4400) to find the equation of the line. Using the formula for the equation of a line, we have:

C(x) = mx + b

Substituting the values (0, 3400) and (3, 4400) into the equation, we can solve for m and b. This gives us:

C(x) = 200x + 3400

b) To find the circulation 2 months from now, we substitute x = 2 into the equation C(x):

C(2) = 200(2) + 3400

C(2) = 400 + 3400

C(2) = 3800 units

c) To find when the circulation will reach 6734 newspapers, we set C(x) equal to 6734 and solve for x:

6734 = 200x + 3400

200x = 6734 - 3400

200x = 3334

x = 3334/200

x = 16.67

Therefore, the circulation will reach 6734 newspapers after approximately 16.67 months.

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(f)/(g))(x) = (√[(3 + x)(3 - x)]) / (3(x + 2)).

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.

To find ((f)/(g))(x), we need to evaluate the function f(x)/g(x) for a given value of x.

We have:

f(x) = √(9 - x^2)

g(x) = 3x + 6

So,

(f/g)(x) = f(x) / g(x) = (√(9 - x^2)) / (3x + 6)

To simplify this expression, we can factor out 3 in the denominator and simplify the square root in the numerator:

(f/g)(x) = (√(9 - x^2)) / (3(x + 2))

= (√[(3^2 - x^2)]) / (3(x + 2))

= (√[(3 + x)(3 - x)]) / (3(x + 2))

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The solution to the system of equation graphed is (-1, -3)

Given the system of equations graphed on the plane expressed as:

f(x) = 3x

g(x) = 4x + 1

Equate

f(x) = g(x)

3x = 4x + 1

3x - 4x = 1

-x = 1

x = -1

Determine the value of y

y = 3x

y = 3(-1)

y = -3

Hence the solution to the system of equation graphed is (-1, -3)

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To estimate the difference between proportions, sample around 3355 stalks from each section of the field.

In order to estimate the true difference between proportions of stalks damaged in the two sections of the sugarcane field, we need to determine the sample size required to achieve a desired level of precision and confidence.

To estimate the required sample size, we can use the formula for sample size determination for estimating the difference between two proportions. This formula is based on the assumption of a normal distribution and requires the proportions from each section.

Let's denote the proportion of stalks damaged in the middle section as p1 and the proportion of stalks damaged in the outer perimeter as p2. We want to estimate the difference between these proportions to within 0.02 (±0.02) with 90% confidence.

To calculate the required sample size, we need to make an assumption about the value of p1 and p2. If we don't have any prior knowledge or estimate, we can use a conservative estimate of p1 = p2 = 0.5, which maximizes the required sample size.

Using this conservative estimate, we can apply the formula for sample size determination:

n = (Z * sqrt(p1 * (1 - p1) +\(p2 * (1 - p2)))^2 / d^2\)

where:

Plugging in the values, we get:

n = (1.645 * sqrt(0.5 * (1 - 0.5) + 0.5 *\((1 - 0.5)))^2 / 0.02^2\)

n = (1.645 * sqrt\((0.25 + 0.25))^2\)/ 0.0004

n = (1.645 * sqrt\((0.5))^2\) / 0.0004

n =\((1.645 * 0.707)^2\) / 0.0004

n =\(1.158^2\) / 0.0004

n = 1.342 / 0.0004

n ≈ 3355

Therefore, the required sample size from each section of the field would be approximately 3355 stalks, in order to estimate the true difference between proportions of stalks damaged in the two sections to within 0.02 with 90% confidence.

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To estimate the true difference between proportions of stalks damaged in the two sections of the sugarcane field, approximately 665 stalks from each section should be sampled.

In order to estimate the true difference between proportions of stalks damaged in the middle and outer perimeter sections of the sugarcane field, a representative sample needs to be taken from each section. The goal is to estimate this difference within a certain level of precision and confidence.

To determine the sample size needed, we consider the desired precision and confidence level. The requirement is to estimate the true difference between proportions of stalks damaged within 0.02 (i.e., within 2%) with 90% confidence.

To calculate the sample size, we use the formula for estimating the sample size needed for comparing proportions in two independent groups. Since an equal number of stalks will be sampled from each section, the total sample size required will be twice the sample size needed for a single section.

The formula to estimate the sample size is given by:

n = [(Z * sqrt(p * (1 - p)) / d)^2] * 2

Where:

n is the required sample size per section

Z is the Z-value corresponding to the desired confidence level (for 90% confidence, Z = 1.645)

p is the estimated proportion of stalks damaged in the section (unknown, but assumed to be around 0.5 for a conservative estimate)

d is the desired precision (0.02)

Plugging in the values, we can calculate the sample size needed for each section.

n = [(1.645 * sqrt(0.5 * (1 - 0.5)) / 0.02)^2] * 2

n ≈ 664.86

Rounding up, we arrive at approximately 665 stalks that should be sampled from each section.

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The component form of the vector MN is (-11, 7), and its length is approximately 13.04. To find the component form of the vector MN, we subtract the coordinates of the initial point M from the coordinates of the terminal point N.

M(5, -9)

N(-6, -2)

The component form of the vector MN can be calculated as follows:

MN = N - M = (-6, -2) - (5, -9)

To subtract the coordinates, we subtract the x-coordinates and the y-coordinates separately:

x-component of MN = -6 - 5 = -11

y-component of MN = -2 - (-9) = 7

So, the component form of the vector MN is (-11, 7).

To find the length of the vector MN, we can use the distance formula, which calculates the length of a vector in a Cartesian coordinate system:

Length of MN = sqrt((x-component)^2 + (y-component)^2)

            = sqrt((-11)^2 + 7^2)

            = sqrt(121 + 49)

            = sqrt(170)

            ≈ 13.04

Therefore, the length of the vector MN is approximately 13.04 (rounded to two decimal places).

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Answer:

The answer is 30.

Step-by-step explanation:

Answer:

c  ≥ (p x 2)

Step-by-step explanation:

Answer:

2t - 1

Step-by-step explanation:

doubled is 2. So, it will be 2t. decreased by means subtract so:

2t -1

Answer:

a = 5

Step-by-step explanation:

|a|-|5|=5-a

a = 5

The equation of line g is y = (3/10)x + 1.

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the equation of line f is y - 7 = (3/10)(x - 4).

Since line g is parallel to line f, it will have the same slope as line f, which is 3/10.

Hence, the equation of line g can be written in the form:

y - y1 = m(x - x1)

Where (x1, y1) is the given point (10, 4) and m is the slope of line f, which is 3/10.

Substituting the values, we get:

y - y1 = m(x - x1)

y - 4 = (3/10)(x - 10)

y - 4 = (3/10)x - 3

y = (3/10)x + 1

Therefore, y = (3/10)x + 1 is the equation of line g.

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Answer:$332,500

Step-by-step explanation:

I used a percent calculator and got it correct

Answer:

B

Step-by-step explanation:

Answer:

I think its D.

Step-by-step explanation:

Im taking the quiz right now. But as far as i have seen most people are saying D too.

Answer:

x=-25/2, y=-9/4. (-25/2, -9/4).

Step-by-step explanation:

The solution of the given system of linear equation will be x = -2 and y = 3.

A linear equation is an algebraic equation in which each term has an exponent of 1 and, when graphed, the result is always a straight line.

Given are the equations,

y+2x=-1 ⇒ y = -1-2x

y=1/2x+4

Equating the equation,

-1-2x = 1/2x+4

x+8 = -2-4x

5x = -10

x = -2

And, y = -1+4

y = 3

Hence, the value of x and y are -2 and 3 respectively.

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data collected by imposing a treatment on a sample and examining the results is data collected as a result of computer modeling. Left skewed distribution is data collected that does not fairly represent the population.

Mode [ Choose ]

x  Continuous variable

n  N

σ  σ²

r  q = 1 – p

Mode  Most frequently occurring value in the date set

Left skewed distribution  Data is collected that does not fairly represent the population

Normal distribution  Data is collected by asking a series of questions

A measure of the spread or variability of the data set  Data is collected by watching

Data is collected by imposing a treatment on a sample and examining the results  Data is collected as a result of computer modeling

x is a continuous variable, n is N, σ is σ², r is q = 1 – p, mode is the most frequently occurring value in the date set, a left skewed distribution is data collected that does not fairly represent the population, a normal distribution is data collected by asking a series of questions, a measure of the spread or variability of the data set is data collected by watching the behavior of sample, and data collected by imposing a treatment on a sample and examining the results is data collected as a result of computer modeling.

x is a continuous variable, n is N, σ is σ², r is q = 1 – p, mode is the most frequently occurring value in the date set. Data collected by asking a series of questions is a normal distribution, data collected by watching the behavior of sample is a measure of the spread or variability of the data set, and data collected by imposing a treatment on a sample and examining the results is data collected as a result of computer modeling. Left skewed distribution is data collected that does not fairly represent the population.

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