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3 years ago

2x^5 + 4x^4 – x^3 - x^2 + 7 is divided by 2x^2 - 1.

Mathematics

1 answer:

mixer [17]3 years ago

4 0

Answer: 11

Step-by-step explanation: 2x^5 + 4x^4 – x^3 - x^2 + 7= 11

2x^2 - 1= 1

2x^5 + 4x^4 – x^3 - x^2 + 7 is divided by 2x^2 - 1.=11

You might be interested in

Children of mothers who smoked during pregnancy scored nine points lower on intelligence tests at ages three and four than child

eduard

Answer:

All of the options apply.

Step-by-step explanation:

In the example given in the question, it is stated that mothers' smoking during pregnancy can affect childs' IQ and can cause lower scores on test.

All of the given options can be given as evidence for the link between smoking and lower IQ. The diet especially throughout childhood has significant effect on the development of the brain and the prefrontal cortex.

The psychological condition that the child is in, the environment in the house that he/she grows up in affects the IQ and the EQ.

The IQ can be affected by outside factors but it also has a relation with the genes that the child takes from his/her parents.

The socioeconomic status of the mother can affect the environment that the child grows up in, the people he/she interacts with and the opportunities that he/she gets to stimulate the brain in different ways to encourage growth.

I hope this answer helps.

8 0

3 years ago

What is the slope of the following graph?

mel-nik [20]

I dont know if this helps since no one else is answering I’d like to help
To find slope.. the M in the slope formula of y=Mx+b represents slope

So as long as you know what point on the graph represents what then it should be easy

In most cases.. finding slope is where the line meets on the x axis

6 0

3 years ago

The Regency Hotel has enough space at its entrance for six taxicabs to line up, wait for guests, and then load passengers. Cabs

maksim [4K]

Answer:

The appropriate solution is:

(1) 22.81 minutes

(2) 0.171

Step-by-step explanation:

According to the question, the values will be:

The service rate of guess will be:

= $5+3.5$

= $8.5 \ minutes$

The mean arrival rate will be:

$\lambda =\frac{60}{5}$

$=7.5 \ cabs/hr$

The mean service rate will be:

$\mu= 7.05 \ cabs/hr$

(1)

The average time a cab must wait will be:

⇒ $W_q=22.95-\frac{1}{7.05}$

⇒ $=\frac{161.798-1}{7.05}$

⇒ $=\frac{160.798}{7.05}$

⇒ $=22.81 \ minutes$

(2)

The required probability will be:

⇒ $P(X\geq 6)=\frac{1-2.115}{1-7.5}$

⇒ $=\frac{-1.1115}{-6.5}$

⇒ $=0.171$

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=%24a%2Ba%20r%2Ba%20r%5E%7B2%7D%2B%5Cldots%20%5Cinfty%3D15%24%24a%5E%7B2%7D%2B%28a%20r%29%5E%7B

riadik2000 [5.3K]

Let

$S_n = \displaystyle \sum_{k=0}^n r^k = 1 + r + r^2 + \cdots + r^n$

where we assume |r| < 1. Multiplying on both sides by r gives

$r S_n = \displaystyle \sum_{k=0}^n r^{k+1} = r + r^2 + r^3 + \cdots + r^{n+1}$

and subtracting this from $S_n$ gives

$(1 - r) S_n = 1 - r^{n+1} \implies S_n = \dfrac{1 - r^{n+1}}{1 - r}$

As n → ∞, the exponential term will converge to 0, and the partial sums $S_n$ will converge to

$\displaystyle \lim_{n\to\infty} S_n = \dfrac1{1-r}$

Now, we're given

$a + ar + ar^2 + \cdots = 15 \implies 1 + r + r^2 + \cdots = \dfrac{15}a$

$a^2 + a^2r^2 + a^2r^4 + \cdots = 150 \implies 1 + r^2 + r^4 + \cdots = \dfrac{150}{a^2}$

We must have |r| < 1 since both sums converge, so

$\dfrac{15}a = \dfrac1{1-r}$

$\dfrac{150}{a^2} = \dfrac1{1-r^2}$

Solving for r by substitution, we have

$\dfrac{15}a = \dfrac1{1-r} \implies a = 15(1-r)$

$\dfrac{150}{225(1-r)^2} = \dfrac1{1-r^2}$

Recalling the difference of squares identity, we have

$\dfrac2{3(1-r)^2} = \dfrac1{(1-r)(1+r)}$

We've already confirmed r ≠ 1, so we can simplify this to

$\dfrac2{3(1-r)} = \dfrac1{1+r} \implies \dfrac{1-r}{1+r} = \dfrac23 \implies r = \dfrac15$

It follows that

$\dfrac a{1-r} = \dfrac a{1-\frac15} = 15 \implies a = 12$

and so the sum we want is

$ar^3 + ar^4 + ar^6 + \cdots = 15 - a - ar - ar^2 = \boxed{\dfrac3{25}}$

which doesn't appear to be either of the given answer choices. Are you sure there isn't a typo somewhere?

7 0

2 years ago

Please help me with this

Vera_Pavlovna [14]

Answer:

226.19

Step-by-step explanation:

pi * r^2 = area

The radius = diameter/2 = 6

pi * 6^2 * 2 = area of 2 tortillas

72pi = area of 2 tortillas

That rounds to 226.19

3 0

3 years ago