which of the following expresses the possible number of positive real solutions for the polynomial equation shown below 5x^3 + x^2 +7x - 28 = 0
A. Two
B. Three or one
C. One
D. Two or zero

Step-by-step explanation:

the 60 preliminary published articles are a constant.

all the new articles are simply added to that to get the total number of published articles.

every months produces 12 more articles.

so,

m = 1 means a = 60 + 1×12 = 72

m = 3 means a = 60 + 3×12 = 60 + 36 = 96

m = 4 means a = 60 + 4×12 = 60 + 48 = 108

m = 9 means a = 60 + 9×12 = 60 + 108 = 168

Answer:

Area of the slice of pie = 22.09 ft²

Step-by-step explanation:

Area of the slice of pie = Area of the sector of the circle with the central angle 45°

Area of the sector = [tex]\frac{\theta}{360^{\circ}}(\pi r^{2} )[/tex] [Here, r = radius of the circle]

                              = [tex]\frac{45^{\circ}}{360^{\circ}}(\pi )(\frac{15}{2})^2[/tex]

                              = 22.09 ft²

Area of the slice of pie = 22.09 ft²

Answer:

22.08ft^2

Step-by-step explanation:

A = πr^2(x/360) d = 15

Since r is half of diameter this means that r = 15/2 =7.5

so Lets use the Area of Sector formua

A =3.14(7.5)^2 (45/360)

A =3.14(56.25) (45/360)

A = 176.625 (45/360)

A = 176.625 (0.125)

A = 22.078125

rounded to the nearest 10th would make it 22.08

Answer:

m/_6=60

Step-by-step explanation:

angles 3 and 6 are same side interior angles makeing them suplimentary.

180-/_3=/_6

180-120=60

it works both ways as well!

Answer:

see explanation

Step-by-step explanation:

Given

(a)

3x + 2y - 8 = 0 ( subtract 3x - 8 from both sides )

2y = - 3x + 8 ( divide the terms by 2 )

y = - [tex]\frac{3}{2}[/tex] x + 4

(b)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{3}{2}[/tex] x + 4 ← is in slope- intercept form

with slope ( gradient) m = - [tex]\frac{3}{2}[/tex] and

(c)

c = 4

That is crosses the y- axis at (0, 4 )

Answer: The Answer Is Letter B Or Letter C..... 12*4*2= 96

B.

an=−4 · (7)n−1; −470,596a subscript n baseline equals negative 4 times left parenthesis 7 right parenthesis superscript n minus 1 baseline semi-colon negative 470,596

C.

an=1 · (−4)n−1; 4,096a subscript n baseline equals 1 times left parenthesis negative 4 right parenthesis superscript n minus 1 baseline semi-colon 4,096

Step-by-step explanation: First Term: 2, Second Term: 6, Third Term: 18, Forth Term: 54, Fifth Term: 162

Geometric sequences and series

A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio, r.

Example

Write the first five terms of a geometric sequence in which a1=2 and r=3.

We use the first given formula:

Just as with arithmetic series it is possible to find the sum of a geometric series. It is found by using one of the following formulas:

Video lesson

Use the formula for the sum of a geometric series to determine the sum when a1=4 and r=2 and we have 12 terms.

Answer:

(5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)

Step-by-step explanation:

125 + (a - b)³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²)

Then

125 + (a- b)³

= 5³ + (a - b)³

with a = 5 and b = (a - b)

= (5 a a - b)(5² - 5(a - b) + (a - b)² )

= (5 + a - b)(25 - 5a + 5b + a² - 2ab + b²)

= (5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)

Answer:

yea it should be 4

Step-by-step explanation:

all you doing is dividing

Answer:

The choose (C)

F(x)=x/ (x+1)(x-2)

Answer:

x=2*sqrt(5)

Step-by-step explanation:

Since the triangle is isosceles, the other side of the triangle is sqrt(10) too. By using Pythagoras theorem, we have 10+10=x^2, x=2*sqrt(5).

Answer: 210

percent * base = amount

.6 * base = 126

base = 126/.6

x = 210

Step-by-step explanation:

2x+54=8x

So. The Answer is 7

Answer:

312 in^2

Step-by-step explanation:

Yet again, not the best way but let's add up all the sides...

2(24+96+36) = 2(156) = 312 in^2

Hope this helped!

Answer:

y = -7x + 52

Step-by-step explanation:

y = -7x - b

-4 = -7(8)  + b

-4 = -56 + b

52

Answer:

a) [tex]n = 4 + 7\cdot i[/tex], [tex]\forall\, i \in \mathbb{N}_O[/tex], b) [tex]n = 2 + (i+1)^{2}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex]

Step-by-step explanation:

a) The sequence is representative for an arithmetic sequence, whose key characteristic is that difference is between two consecutive elements is the same. In particular, the sequence has a difference of 7 between any two consecutive elements and the initial element is 4. Hence, we can derive the following formula:

[tex]n = n_{o} + r\cdot i[/tex], [tex]\forall\, i \in \mathbb{N}_O[/tex] (1)

Where:

[tex]n_{o}[/tex] - Initial element.

[tex]r[/tex] - Difference between two consecutive elements.

[tex]i[/tex] - Index.

If we know that [tex]n_{o} = 4[/tex] and [tex]r = 7[/tex], then the expression for the n-th term of the sequence is:

[tex]n = 4 + 7\cdot i[/tex], [tex]\forall \,i\in\mathbb{N}_{O}[/tex]

b) In this case, we have a geometric sequence described by the following equation:

[tex]n = 2 + (i+1)^{2}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex]  (2)

The constant element ([tex]2[/tex]) represents the two extreme squares, whereas the second order binomial represents the total of squares in the middle ([tex](i+1)^{2}[/tex]) and emulates the area formula of the square.

Answer:

Step-by-step explanation:

?

Answer:

see below

Step-by-step explanation:

2^30

-------

8^9

Rewriting

8^9

2^3 ^ 9

We know a^b^c = a^(b*c)

2^(3*9) = 2^27

2^30

-------

2^27

We know a^b / a^c = a^(b-c)

2^(30-27) = 2^3

Assuming you mean 2^x

2^3 = 2^x

x=3

If you mean 2x

2^3 = 8

8 = 2x

Divide by 2

4 =x

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{2^{30}}{8^9}=2x}[/tex]

[tex]\mathsf{2^{30}}\\\mathsf{= \bf 1,073,741,824}\\\\\mathsf{8^9}\\\mathsf{= \bf 134,217,728}[/tex]

[tex]\mathsf{\rightarrow \dfrac{1,073,741,824}{134,217,728}= 2x}\\\\\\\mathsf{\dfrac{1,073,741,824}{134,217,728}= \bf 8}\\\\\\\mathsf{\rightarrow \ 8 = 2x}\\\\\\\\\large\textsf{TURN\ the\ EQUATION\ around}\\\\\\\mathsf{\rightarrow\ 2x = 8}\\\\\\\large\textsf{DIVIDE 2 to BOTH SIDES}\\\\\\\mathsf{\dfrac{2x}{2}=\dfrac{8}{2}}\\\\\\\large\textsf{CANCEL out: }\mathsf{\dfrac{2}{2}}\large\textsf{ because it gives you 1}\\\\\\\large\textsf{KEEP: }\mathsf{\dfrac{8}{2}}\large\textsf{ because it gives you the answer of x}[/tex]

[tex]\mathsf{x = \dfrac{8}{2}}\\\\\\\mathsf{x = 8\div 2}\\\\\\\mathsf{x = \bf 4}\\\\\\\\\\\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = 4}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer: 80, 40

Step-by-step explanation: I just made an equation which went something along the lines Of 3.1x=248 , then you get 80, then 40.

Answer:

5

Step-by-step explanation:

median means the number in the middle

Answer:

the answer is get to be D-3.5

Answer:

[tex]\displaystyle \frac{x+10}{4}[/tex]

Step-by-step explanation:

We want to write an expression for the phrase: "x increased by 10 divided by 4."

If x is being increased by 10, the expression is:

[tex]x+10[/tex]

And if it is then divided by 4, we can place the entire expression over four. Hence:

[tex]\displaystyle \frac{x+10}{4}[/tex]

Our expression is:

[tex]\displaystyle \frac{x+10}{4}[/tex]

Answer:

(-6,2)

Step-by-step explanation:

Answer:

x = 360°

Answered by GAUTHMATH

Answer:

2.6

Step-by-step explanation:

espero ter ajudado

Answer:

25°

Step-by-step explanation:

(80-30)/2

= 50/2

= 25

Answered by GAUTHMATH

Measure of angle 1 from the given circle is 40 degree. Therefore, option B is the correct answer.

If a line is drawn from an external point to a circle, creating a tangent segment and a secant segment, then the length of the tangent segment squared is equal to the product of the lengths of the secant segment and its external segment.

Given that, PB is tangent and PV and PU are secant.

Here, measure of arc VU = 80° and measure of arc ST = 30°

Now, m∠1=1/2 ×measure of arc VU

m∠1=1/2 ×80°

m∠1=40°

Therefore, option B is the correct answer.

To learn more about the circle theorems visit:

https://brainly.com/question/19906313.

#SPJ7

1. Because if you have a plan early then you can start saving early, which increases the amount you will have. The future is also unpredictable

2. Set aside money over a set period (put aside money each month, year). You can set up a plan through your employer ie 401K, or set up an individual retirement plan (IRA). Your employer takes a percentage you choose out of your check each month (commonly 3%, 5%, %10, 15%). The money is taken from your paycheck before taxes therefore it lowers your income and you pay less in taxes. An IRA is similar to a bank account as you choose when and how much you put in over time. Both can be withdrawn at 59 1/2.

3. Compound interest essentially earns you more money for retirement. It can be important because you earn more than with regular interest.

4. Start balancing expenses, make a plan for retirement and practicing saving. It would also be beneficial to start setting aside money for retirement even if you haven't opened an account yet.

5. Make sure you can comfortably live off of your retirement. If you can't it would be best to maximize your retirement and savings, or consider working seasonally or part-time

Answer:

Step-by-step explanation:

Hello!

x < -45/15

=>

{xIx<-3}

Answer:

option A. twelve because hypotenuse angle is equal to perpendicular to the sum base

Answer:

Yes

Step-by-step explanation:

-10x+4y ≥-4

Plug in (0,-1)

-10(0) +4(-1) ≥-4

-4 ≥ -4

This is a true statement so the point is a solution

Answer:

Yes

Step-by-step explanation:

Substitute x = 0 and y = -1

Then

[tex] - 10(0) + 4( - 1) \geqslant - 4 \\ - 4 \geqslant - 4[/tex]