Is the number zero 0 an integer?

Answer:

there are 5 roots,

Step-by-step explanation:

According to the Fundamental Theorem of Algebra, the number of roots that exist for the given polynomial function is 5, which is the last option.

Given a polynomial function:

f(x) = 4x⁵ - 3x

It is required to find the number of roots of the polynomial using the Fundamental Theorem of Algebra.

By the Fundamental Theorem of Algebra, the number of roots that a polynomial of the form,

P(x) = a₀ + a₁x + a₂x² + ... + aₙxⁿ

has n roots.

So, the function f(x) has 5 roots.

Hence, the polynomial has 5 roots, which is the last option.

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The adjusted bank balance after reconciling is Br. 5,224.42.

To prepare the bank reconciliation, we have to analyze the differences between the bank statement balance and the company's ledger balance.

Details

Bank statement balance of Br. 4,964.47 at July 31.

Add: Deposit made after banking hours Br. 410.90

New balance: Br. 5,375.37.

Deduct Erroneously charged check of Br. 79

New balance Br. 5,296.37.

Deduct Outstanding checks:

Check No. 801 of Br. 100.00 (issued on June 15).

Check No. 888 of Br. 10.25 (issued on July 24).

Check No. 890 of Br. 294.50 (issued on July 27).

Check No. 891 of Br. 205.00 (issued on July 30).

Total outstanding checks: Br. 609.75.

New balance: Br. 4,686.62.

Deduct: Incorrectly charged amount of Br. 120.

Add: Correct amount of Br. 210.

Add: Proceeds from the collection Br. 500.

Add: Interest earned on the account balance  Br. 24.75.

Deduct: Returned check of Br. 10

Deduct: Fee charged by the bank for handling the collection Br. 5.00.

Deduct: Check from customer John Br. 50.25.

Deduct the service charge by the bank for the month of July of Br. 12.70.

New balance: Br. 5,224.42.

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The solutions of the indices are;

1)  2^7

2) 3^-4

3) 3^4

4) 2^4

We know that in this case, we would have to apply the laws of indices and the particular law that we are to apply in each case is dependent on the nature of the problem that have been posed. Let us recall that we are asked to ensure that we express the answer or the solution to the problem as a single power.

1) 64 * 256/128

2^6 * 2^8/2^7

2^6 + 8 - 7 = 2^7

2) 3^4/3^3 * 3^5

3^4 - (3 + 5) = 3^-4

3) 3^9/ (3^4)^1/2 * 3^3

3^9/ 3^2 * 3^3

3^9 - (2 + 3)

3^4

4) (2^3)^4 * 2^4 ÷ 32/ 2 * 64

2^12 * 2^4 ÷ 2^5/2^1 * 2^6

2^12 + 4 -5/2^1 + 6

2^16 -5/2^7

2^11/2^7

2^11 - 7

2^4

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To find the radius of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the volume is 824 cubic inches, we can rearrange the formula to solve for the radius:

824 = πr²h

Since the height is not given, we cannot find the exact radius. However, we can still determine the relationship between the height and radius if the volume remains the same.

b. If the height of the cylinder is changed, but the volume stays the same, the radius will change inversely proportional to the height. This means that as the height increases, the radius will decrease, and vice versa. This relationship ensures that the volume remains constant.

Therefore, we cannot determine the exact radius without knowing the height, but we can conclude that the radius and height have an inverse relationship.

Answer: 43817.5306178

Step-by-step explanation:

Answer: If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate 7-i5.

Step-by-step explanation:

Given: 7+5i is a zero of a polynomial function of degree 5 with coefficients

Here, 7+5i is a complex number.

So, it conjugate (\(\overline{7+5i}=7-5i\)) is also a zero of a polynomial function.

Hence, if 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate 7-i5.

If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate which is 7 - 5i

The standard form of writing complex numbers with real and imaginary values is expressed as:

z = x + iy

The conjugate of the complex number will be y = x - iy

Given the polynomial 7 + 5i. If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate which is 7 - 5i

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The value of x is; x = 3.14

Here, we have,

from the given diagram, we get,

there is a right angle triangle.

we have to find the value of x.

we know that,

Let the angle be θ , such that

cos θ = base / hypotenuse

here, we get,

cos 17 = 3/x

so, we have,

0.956 = 3/x

so, x = 3.14

Hence, The value of x is;x = 3.14

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Answer:

a) 3m + 4 = 6m is false.

Step-by-step explanation:

A) 3m + 4 = 6m

→ 3(6) + 4 = 6(5)

→ 18 + 4 = 30

→ [ 22 ≠ 30 ]

So, the equation is false.

B) -5(t - 7) = 10

→ -5(5 - 7) = 10

→ -5 × -2 = 10

→ [ 10 = 10 ]

So, the equation is true.

C) 17 = 4x - 3

→ 17 = 4(5) - 3

→ 17 = 20 - 3

→ [ 17 = 17 ]

So, the equation is true.

D) t + 9 = 14

→ 5 + 9 = 14

→ [ 14 = 14 ]

So, the equation is true.

9514 1404 393

Answer:

 453.32

Step-by-step explanation:

The argument of the summation symbol is recognizable as the general term of a geometric series with first term a1=4 and common ratio r=1.5. The indices on the summation symbol tell you that you want the sum of the first 10 terms of the series.

The general form of the sum of the first n terms of a geometric series is ...

  Sn = a1(r^n -1)/(r -1)

For the given values of a1 and r, this sum is ...

  \(S_{10}=4\cdot\dfrac{1.5^{10}-1}{1.5-1}=4\cdot\dfrac{57.6650390625-1}{0.5}\\\\\boxed{S_{10}\approx453.32}\)

____

Your graphing calculator may be able to evaluate this for you directly.

Answer:

The answer to this is A.) 8/17

Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB. Option C

The steps involved in constructing a perpendicular bisector are:

Thus, Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB. Option C

The complete question

Eric was attempting to construct a perpendicular bisector to the segment AB with a compass and straight edge. Which of the below statements explains what Eric may have done wrong?

a. Eric should have started by putting the compass needle point at the midpoint of the segment AB.

b. On the second step, Eric should have placed the compass needle point where the first arc intersected the segment AB.

c. Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB.

d. Erick didn’t do anything wrong he just needs to connect the opposite endpoints of each arc to finish the construction.

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Answer:

what we have to find or to prove.

A model for the monthly sales of General Motors from October 1996 to April 1997:

s(t) = -$4.17 billion * t + $80 billion

First, we need to determine the monthly change rate (m):

m = (Sales at t = 6 - Sales at t = 0) / (t = 6 - t = 0)

= ($55 billion - $80 billion) / (6 - 0)

= -$25 billion / 6

≈ -$4.17 billion per month

Next, we can use the point-slope form of a linear equation to model the monthly sales:

s(t) = m * t + Sales at t = 0

= -$4.17 billion * t + $80 billion

Now, we have a model for the monthly sales of General Motors from October 1996 to April 1997:

s(t) = -$4.17 billion * t + $80 billion

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Answer: See below

Step-by-step explanation:

Radius of the semicircle = 46/2 = 23 m

\(\therefore$ Area enclosed by the figure $=4 \times$ Area of semicircles + Area of square \begin{aligned} \\&=4 \times 3.14 \times(23)^{2} \times \frac{1}{2}+(46)^{2} \\&=3322.12+2116 \end{aligned} \\\\\\Area enclosed $=5438.12 \mathrm{~m}^{2}$\)

So, Val might have have subtracted 2116 from 3322.12 instead of adding since 3322.12 - 2116 = 1206.12

Answer:

the earned value of the project is $9,900

Step-by-step explanation:

The computation of the earned value of the project is shown below:

As we know that

CPI = Earned value ÷ Actual cost

1.1 =  Earned value ÷ $9,000

So, the earned value is

= 1.1 × $9,000

= $9,900

hence, the earned value of the project is $9,900

Answer:

Step-by-step explanation:

40/30=409

Answer:

Division property of equality

Step-by-step explanation:

to find n you would have to divide 16 by 8 which gives you 2

Median is the Middle number

1. Sort the numbers until they are all in value order

2. Find the middle number

So the answer would be 12

Answer:

Median = 12

Step-by-step explanation:

12, 11, 14, 14, 14, 12, 7

Arranging the given data in ascending order, we find:

7, 11, 12, 12, 14, 14, 14

Here,

Number of observations (N) = 7

\( \therefore \: \frac{N + 1}{2} = \frac{7 + 1}{2} = \frac{8}{2} = 4 \\ \\ median \: = 4th \: term \\ \huge \red{ \boxed{median = 12}}\)

La edad actual de José es de 30 años.

Para resolver este problema, primero debemos establecer ecuaciones basadas en la información proporcionada. Llamemos "x" a la edad actual de José y "y" a la edad actual de Ana. Según la primera condición, la edad de Ana es la mitad de la edad de José, por lo que podemos escribir la ecuación: y = (1/2)x.

La segunda condición nos dice que dentro de 10 años, sus edades serán dos tercios de sus edades actuales. Esto se puede expresar como: (x + 10) * (2/3) = y + 10.

Reemplazando el valor de y en la segunda ecuación con la primera ecuación, obtenemos: (x + 10) * (2/3) = (1/2)x + 10.

Resolviendo esta ecuación, podemos simplificarla y llegar a: 2(x + 10) = 3[(1/2)x + 10].

Al resolver la ecuación resultante, encontramos que x = 30.

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Answer:4

Step-by-step explanation:

7+4=11

15-4=11

Answer:

4.25GPA

Step-by-step explanation:

3+6+2+6/4

= 17/4

= 4.25 to 2d.p

The correct statement regarding which class used the most paper is given as follows:

Mrs. Potter's class; it has a larger median value of 16 pieces of paper.

A box and whisker plots shows these five metrics from a data-set, listed and explained as follows:

To obtain which class used the most, we need the measure of center, which is given by the median, being the middle line of each data-set.

The medians are given as follows:

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Answer:

???  can you rewrite it in English plz