Find a fifth-degree polynomial with integer coefficients that has zeros -5i and 2, with 2 a zero of multiplicity 3. Do not foil out! Leave in factored form.

Answer: 2,2 and 4,4 are the cordnets, i believe 3/3 is the slope { positive slope}

Step-by-step explanation:

Answer:

it would be x-14

Step-by-step explanation:

This is translated to a algebra equation

Answer:

4 is not a prime number because it is divisible by 2.

Answer:

The right answer is 125.6

Answer:

A. 502.4

Step-by-step explanation

Answer:

1/3 foot longer

Step-by-step explanation:

2/3-1/3=1/3

The product that is represented with the algebra tiles is (2x + 2)(2x + 3)

From the question, we have the following parameters that can be used in our computation:

The algebra tiles

Representing the red tile with digit 1

So, we have

Vertical = 2x + 1 + 1 = 2x + 2

Horizontal = 2x + 1 + 1 + 1 = 2x + 3

The product that is represented with the algebra tiles is then calculated as

Product = Vertical * Horizontal

So, we have

Product = (2x + 2)(2x + 3)

Hence, the product is (2x + 2)(2x + 3)

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Answer:

3:7

Step-by-step explanation:

Let x = pounds of the $10 rice in the mixture

Let y = pounds of the $30 rice in the mixture

Total cost of the $10 rice = 10x

Total cost of the $30 rice = 30y

(10x + 30y) / (x + y) = 24

Solve this equation for y/x:

10x + 30y = 24(x + y)

10x + 30y = 24x + 24y

30y - 24y = 24x - 10x

6y = 14x

y/x = 6/14  simplify the fraction

y/x = 3/7

So, the ratio of the two different types of rice (y:x) is 3:7, meaning a pound of the rice mixture has 3 parts of the $30 rice to 7 parts of the $10 rice.

train tickets costs: $130 (t)

Bus ticket cost: ? (b)

the bus ticket cost $26

Answer:

yes

Step-by-step explanation:

I'm Semi I stay automatic

Money add then multiply

I call that mathe-mat-a-matics

a) The rule that represents the height as a function of the number of bounces is described by H(n) = 1.5 · (71 / 100)ˣ⁻¹. (Correct choice: B)

b) The height at the top of the sixth path is equal to 0.27 meters. (Correct choice: B)

In this problem we need to derive the equation that represents maximum height as a function of the number of bounces:

H(n) = a · (r / 100)ˣ⁻¹

Where:

If we know that a = 1.5 m and r = 71, then the rule for the sequence is:

H(n) = 1.5 · (71 / 100)ˣ⁻¹

And the height at the top of the sixth path:

H(6) = 1.5 · (71 / 100)⁶⁻¹

H(6) = 0.27 m

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Answer:

Step-by-step explanation:

1 jacket and 2 notebooks

(just my guess but you might get it right)

(also use desmos scientific calculator its a lot better)

Answer:

he sold 35 notebooks

Step-by-step explanation:

first you subtract 40.00 from 92.50 equaling 52.50 then you divide 52.50 by 1.50.

Answer: Simply and politely decline her request. If you do like her though, don't be shy to go out with her. But if you think that she is not it, simply reject her request and move on.

Answer:

say no and tell her to brush her teef

Step-by-step explanation:

no one wants a stinky cheese girl

The value of expression is n=3 and r= 16

An expression is a set of terms combined using the operations +, – , x or , /.

Given:

\((4k^{7})^{3} = 4^{n}* (k^{7})^{3} = 64 k^{21}\)

\((64 k^{21}) = 4^{n}* k^{21} = 64 k^{21}\)

\(4 ^{3} * k^{21}= 4^{n}* k^{21}\)

On comparing

n=3

Now,

\((-3r^{-4})^{-4} = (-3)^{-4} * (r^{-4})^{-4} = 1/81* r^{m}\)

\((-3)^{-4} * (r^{-4})^{-4} = 1/81* r^{m}\\1/ (-3)^{4} * 1/(r^{-4})^{4} = 1/81* r^{m}\\1/ (-3)^{4} * (r^{16}) = 1/81* r^{m}\)

1/81 * r^16 = 1/81 * r^{m}

On compairing

r = 16.

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Answer:

answer in picture

Step-by-step explanation:

Answer:

Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable or variables. Each term in an algebraic expression is separated by a + sign or J sign. In , the terms are: 5x, 3y, and 8.

Step-by-step explanation:

Answer:

There are 6 terms in the expression

Step-by-step explanation:

Each term is separated by a mathematical sign (of addition and subtraction, in this case)

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

An insurance company examines its pool of auto insurance customers and gathers the following information: (i) All customers insure at least one car. (ii) 70% of the customers insure more than one car. (iii) 20% of the customers insure a sports car. (iv) Of those customers who insure more than one car, 15% insure a sports car. Calculate the probability that a randomly selected customer insures exactly one car, and that car is not a sports car?

Answer:

P( X' ∩ Y' ) = 0.205

Step-by-step explanation:

Let X is the event that the customer insures more than one car.

Let X' is the event that the customer insures exactly one car.

Let Y is the event that customer insures a sport car.

Let Y' is the event that customer insures not a sport car.

From the given information we have

70% of customers insure more than one car.

P(X) = 0.70

20% of customers insure a sports car.

P(Y) = 0.20

Of those customers who insure more than one car, 15% insure a sports car.

P(Y | X) = 0.15

We want to find out the probability that a randomly selected customer insures exactly one car, and that car is not a sports car.

P( X' ∩ Y' ) = ?

Which can be found by

P( X' ∩ Y' ) = 1 - P( X ∪ Y )

From the rules of probability we know that,

P( X ∪ Y ) = P(X) + P(Y) - P( X ∩ Y )    (Additive Law)

First, we have to find out P( X ∩ Y )

From the rules of probability we know that,

P( X ∩ Y ) = P(Y | X) × P(X)       (Multiplicative law)

P( X ∩ Y ) = 0.15 × 0.70

P( X ∩ Y ) = 0.105

So,

P( X ∪ Y ) = P(X) + P(Y) - P( X ∩ Y )

P( X ∪ Y ) = 0.70 + 0.20 - 0.105

P( X ∪ Y ) = 0.795

Finally,

P( X' ∩ Y' ) = 1 - P( X ∪ Y )

P( X' ∩ Y' ) = 1 - 0.795

P( X' ∩ Y' ) = 0.205

Therefore, there is 0.205 probability that a randomly selected customer insures exactly one car, and that car is not a sports car.

The probability the next person surveyed is very prepared is 0.119.

What actually does probability mean?

Formula of total frequency is,

                           Total = f₁ + f₂  + f₃ + f₄ +...............n∑fi

The total frequency is,

                      total = n∑i=2 fi ⇒ 262 + 992 + 587 + 313 + 52

The total number of people prepared for a long-term power outage, natural disaster, or terrorist attack is obtained by taking the sum of the all frequencies.

               probability = N(E)/N(S)

the information given, there are 262 people are very prepared.

That is,      N(A) = 262

The required probability is,

                            P(A) = 262/2206

                                     = 0.119

The probability the next person surveyed is very prepared is 0.119.

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Answer:

\(8x-10\)

Step-by-step explanation:

\(5x+3(x-4)+2\)

Distribute:

\(=5x+(3)(x)+(3)(-4)+2\\=5x+3x+-12+2\)

Combine Like Terms:

\(=5x+3x+-12+2\\=(5x+3x)+(-12+2)\\=8x+-10\\= 8x - 10\)

Answer:

Step-by-step explanation:

46

We also need the second derivatives;

Equate the first derivative to zero;

tHUS;

Then (1,2) is a local maximum.

Check for saddle points

Answer:

q arrow p, and p arrow q

Step-by-step explanation:

edmentum

Answer:

Infinitely many solutions.

Step-by-step explanation:

Any value of X makes the statement true, meaning the solution is all real numbers.

We are given the following differential equation, \(\frac{dx}{dt}-4x=cos(5t)\), with the initial condition \(x(0)=1\). This is a linear DE in the form, \(\frac{dx}{dt}+P(t)x=Q(t)\), where \(\mu(t)=e^{\int\ {P(t)} \, dt }\).

First, finding \(\mu(t)\).

\(\Longrightarrow\mu(t)=e^{\int\ {P(t)} \, dt }\Longrightarrow\mu(t)=e^{\int\ {-4} \, dt }\)

\(\mu(t)=e^{-4t }\)

Multiply the DE by \(\mu(t)\).

\(\Longrightarrow\frac{dx}{dt}-4x=cos(5t)\Longrightarrow e^{-4t} [\frac{dx}{dt}-4x=cos(5t)]\)

\(\Longrightarrow (e^{-4t}) \frac{dx}{dt}-(e^{-4t})4x=(e^{-4t})cos(5t)\)

\(\Longrightarrow e^{-4t} \frac{dx}{dt}-4e^{-4t}x=e^{-4t}cos(5t)\)

Verify that the L.H.S is a product rule of \(e^{-4t}x\).

\(\Longrightarrow \frac{d}{dt}[e^{-4t}x ] =(e^{-4t}*-4)x+(e^{-4t})(\frac{dx}{dt} )\)

\(\Longrightarrow \frac{d}{dt}[e^{-4t}x ] =-4e^{-4t}x+e^{-4t}\frac{dx}{dt}\)

This matches, so we can move forward by integrating both sides of the DE.

\(\int\ {[e^{-4t}x ]'} \, =\int\ {e^{-4t}cos(5t)} \, dt\)

The integral on the R.H.S is pretty nasty to do using integration by parts and u-sub. I will use a table of integrals.

\(\int\ {e^{ax}cos(bx) } \, dx=\frac{e^{ax}(acos(bx)+bsin(bx))}{a^2+b^2}\)

Let \(a=-4\) and \(b=5\)

\(\int\ {[e^{-4t}x ]'} \, =\int\ {e^{-4t}cos(5t)} \, dt\)

\(\Longrightarrow e^{-4t}x = \frac{e^{-4t}(-4cos(5t)+5sin(5t))}{(-4)^2+(5)^2}+C\)

\(\Longrightarrow e^{-4t}x = \frac{e^{-4t}(-4cos(5t)+5sin(5t))}{41} +C\)

Now for the initial condition, \(x(0)=1\).

\(\Longrightarrow e^{-4(0)}(1) = \frac{e^{-4(0)}(-4cos(5(0))+5sin(5(0)))}{41} +C\)

\(\Longrightarrow (1)(1) = \frac{(1)(-4(1)+(0))}{41} +C\)

\(\Longrightarrow 1 = -\frac{4}{41} +C\)

\(\Longrightarrow 1+\frac{4}{41} = C\)

\(\Longrightarrow C=\frac{45}{41}\)

Now we have, \(e^{-4t}x = \frac{e^{-4t}(-4cos(5t)+5sin(5t))}{41} +\frac{45}{41}\), solve for x.

\(\Longrightarrow x = \frac{\frac{e^{-4t}(-4cos(5t)+5sin(5t))}{41}}{ e^{-4t}} +\frac{\frac{45}{41}}{e^{-4t}}\)

\(\Longrightarrow x = \frac{(-4cos(5t)+5sin(5t))}{41}} +\frac{45e^{4t}}{41}\)

Thus, the answer to the given differential equation with an initial condition is, \(x = \frac{(-4cos(5t)+5sin(5t))}{41}} +\frac{45e^{4t}}{41}\).

Answer:

a = 1/4

b = -2

c = -5

Step-by-step explanation:

The given points (-2, 0) and (10, 0) are the x-intercepts, which means the x roots of the quadratic function are:  x = 2, -10

Use the point (12, 7) to find the constant C:

f(x) = C(x + 2)(x - 10)

f(12) =7 = C(12 + 2)(12 - 10)

C(14)(2) = 7

C = 7/28 = 1/4   plug this value of C into the equation and put it into standard form:

f(x) = 1/4(x + 2)(x - 10)

f(x) = 1/4(x² - 8x - 20)

f(x) = 1/4x² - 2x - 5

Now you have your a, b, and c values:

a = 1/4

b = -2

c = -5

Answer:

It is an open circle and you would shade to the right on a number line.

Step-by-step explanation:

The circle is open because you are not including 3.  Put numbers in for t and you will see that the numbers greater than 3 are all on the right side of the number line.

The possible price for the items if the store sells $600 is (c) $40

From the question, we have the following parameters that can be used in our computation:

The supply-demand graph

If the store sells $600, then there is a supply worth of $600

The equation of the supply line is calculated as

y = mx + c

Where

c = y = 0

i.e. c = 100

So, we have

y = mx + 100

Using another point on the graph, we have

30m + 10 = 400

So, we have

m = 13

This means that

y = 13x + 100

For a supply of 600, we have

13x + 100 = 600

So, we have

13x = 500

Divide by 13

x = 38.4

Approximate

x = 40

Hence, the possible price for the items is (c) $40

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Answer: C

Step-by-step explanation:

The rest of the quadrilaterals provided have 2 pairs of parallel lines.

The choice is:

Explanation:

The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.

Here's what a trapezoid looks like :

\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)

Answer:

i'm not sure if it is the right answer or not

Step-by-step explanation:

Let's assume AC is a straight line and B is one the line, between A and C

AC-AB=BC

52-4x-8=6x+4

10x=40

x=4

--> BC=6x+4=6.4+4=28

NSQ can be turned into SQ through hypothesis testing and statistical analysis to determine significant relationships and patterns in the data.

To turn a non-statistical question (NSQ) into a statistical question (SQ), we need to rephrase it in a way that allows for statistical analysis. A statistical question is one that can be answered by collecting and analyzing data. Here is an example of how to turn an NSQ into an SQ:

This is a non-statistical question because it cannot be answered by collecting and analyzing data. It is purely a matter of personal preference and cannot be measured quantitatively. However, we can turn it into a statistical question by rephrasing it as:

To answer this question, we would need to collect data from a sample of the population and analyze it statistically. For example, we could conduct a survey of 1000 people and ask them which beverage they prefer. We would then calculate the percentage of respondents who prefer tea over coffee and use statistical methods to estimate the margin of error and confidence interval.

By turning the non-statistical question into a statistical question, we have made it possible to collect and analyze data to answer it. This approach is useful in many fields, including market research, social sciences, and healthcare, where data-driven decisions are increasingly important.

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