According to Descartes rule what is a possible number of positive and negative roots

Answer:c

Step-by-step explanation:

I think

Answer:

4/5

Step-by-step explanation:

Given :

And we need to find the value of sinZ .

We know that , sine is the ratio of perpendicular and Hypotenuse. So that ,

[tex]:\implies[/tex] sinZ = p/h

[tex]:\implies[/tex] sin Z = 32/40

[tex]:\implies[/tex] sin Z = 4/5

Hence the renquired answer is 4/5.

Answer:

2(x - 4)(x + 4) = 0

x = {-4, 4}

Step-by-step explanation:

2x² - 32 = 0

factor out 2

2(x² - 16) = 0

This is a difference of squares

Factor

2(x - 4)(x + 4) = 0

x = {-4, 4}

Answer:

Step-by-step explanation:

Hope it helps you!!

Answer:

it is 10%

Step-by-step explanation:

60 - 50 = 10

Answer: y=7

Step-by-step explanation:

Answer:

CI 90 %  =  [  0,165  ;  0,235 ]

Lower limit     0,165

upper limit      0,235

Step-by-step explanation:

Sample information:

sample size    n  =  225

number of dissatisfied  individuals   x  =  45

p = 45/225

p = 0,2    and  q =  1 -  p   q  =  1  -  0,2   q  =  0,8

p*n = 0,2*225   =  45    and   q*n   =  0,8*225  =  180

p*n  and q*n  big enough to use the approximation of binomial distribution to normal distribution

90 % of Confidence Interval   then a significance level is  α  = 10%

α  =  0,1 in z table we get z(c) for that significance level

z(c) = 1,28

CI 90 %   =  [  p  ±  z(c)*√(p*q)/n ]

z(c) * √(p*q)/n    =  1,28 *  √ ( 0,2*0,8)/225

z(c) * √(p*q)/n    =  1,28 * 0,027

z(c) * √(p*q)/n    =  0,035

CI 90 %  =  [  0,2  ±  0,035 ]

CI 90 %  =  [  0,165  ;  0,235 ]

Lower limit     0,165

upper limit      0,235

Answer:

The error made is that the graph of [tex]y=x^{2} +3[/tex] is a vertical translation up by 3, instead of down.

Step-by-step explanation:

Exponential functions, when they are graphed, use the function [tex]f(x)=a(x-h)^{2} +k[/tex].

In the equation, k expresses how much the graph shifts vertically. In this case, the function shifts vertically up by 3 from the parent function, [tex]y=x^{2}[/tex]. So, the translation is actually 3 units up compared to the graph of [tex]y=x^{2}[/tex].

Hope this helps and have an amazing day!! ❤

Answer:

B

Step-by-step explanation:

Elimanited C and D

Answer:

Total cost of the loan $55,969.8.-

Step-by-step explanation:

Giving the following information:

An amount of $32,000 is borrowed for 10 years at 5.75% Interest, compounded annually.

To calculate the total cost of the loan, we need to use the Future Value (FV) formula:

FV= PV*(1 + i)^n

PV= loan

i= interest rate

n= number of periods

FV= 32,000*(1.0575^10)

FV= $55,969.8

Answer:

The probability that the outcome is less than 6 is 58.333%.

Step-by-step explanation:

Since a 6-sided die with sides numbered 1 through 6 is tossed, ya penny is then tossed, and if the penny comes up heads, the value of the die is multiplied by 2, but otherwise, the value of the die is left unchanged, to determine what is the probability that the outcome is less than 6 the following calculation must be performed:

(5/6 + 2/6) / 2 = X

(0.8333 + 0.0333) / 2 = X

1.1666666 / 2 = X

0.583333 = X

Therefore, the probability that the outcome is less than 6 is 58.333%.

Answer:

OQ

Step-by-step explanation:

The lines would never hit each other going on to infinity making them parallel.

Answer:

a nd c

Step-by-step explanation:

Answer: A B and C

Step-by-step explanation:

D has an area of 15 and A B and C have an area of 12.

Answer:

Answer is 5 3/4

Step-by-step explanation:

Thanks Hope this helps

Answer:

x = 3

Step-by-step explanation:

2x + 12 = 18

The variable is "x" and to find the value of x we must get rid of everything on the left side of the equation.

We can easily do this by using inverse operations

To get rid of the 12, we subtract 12, because in the expression its adding and the inverse of addition is subtraction.

But remember whatever we do to one side we have to do to the other, so we subtract 12 from each side

12 - 12 cancels out

18 - 12 = 6

we now have 2x = 6

now we want to get rid of the 2

2x is the same as 2 times x which is multiplication

The inverse of multiplication is division, so to get rid of the 2 we divide each side by 2

2x / 2 = x

6 / 2 = 3

we're left with x = 3

So, its more like this:

Using the polar form, a complex number with modulus r and argument θ may be written

z = r(cos 0 + j sin θ)

It follows immediately from Euler’s relations that we can also write this complex number in

exponential form as :

z = [tex]re^{j0}[/tex]

When using this form you should ensure that all angles are measured in radians and not degrees.

The exponential form of a complex number is in widespread use in engineering and science. Since z = r(cosθ + isinθ) and since eiθ = cosθ + isinθ we therefore obtain another way in which to denote a complex number: z = reiθ, called the exponential form.

I'm leaning towards the answer choices A. and C.

But I'm sure it's A because of the two, C has an x. That's the only difference they have.

Here's another example,

Let z=x+iy, its exponential form comes from identifying it as the point (x,y) in the (Argand) plane. This basically amounts to writing it in what would be polar form in the real plane. Writing it as:

z =reiθ

. If you graph the point (x,y) and treat it as a vector its easy to see that r=|z| and θ=tan−1(yx).

For purely real numbers, they are already in exponential form since they are equal to their modulus and θ=0.

Also, you can write:

Re(z)=z+z¯2

if you want to write it purely in terms of z. Both of your numbers are purely real and thus they are already in exponential form. I suppose if you wanted to be strict about it you could write it as:

|1−z|=|1−z|e0i

Answer:

19.62 yards

Step-by-step explanation:

18 x 1.09 = 19.62

Answer:

x=2   y=-3

Step-by-step explanation:

We first need to isolate x to get x+2y=-4:x=-4-2y

-4-2y-2y=8

simplify:

-4-4y=8.

We can also do the same for y which is -4-4y=8:y=-3

for the x, we can now substitute it to give us:

x=-4-2(-3)

-4-2(-3)=2

x=2

So, our answers are x=2 and y=-3

Answer:

Step-by-step explanation:

x+2y=-4

x-2y=8                       Add

2x = 4                        Divide by 2

2x/2 = 4/2

x = 2

x + 2y = - 4                Substitute 2 for x

2 + 2y = - 4               Subtract 2 from both sides

2y = - 4 - 2

2y = - 6                     Divide by 2

2y/2 = - 6/2

y = - 3

Answer:

The equation of the parabola is [tex]y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4[/tex], whose real vertex is [tex](x,y) = (2, -5.333)[/tex], not [tex](x,y) = (2, -5)[/tex].

Step-by-step explanation:

A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:

[tex](x_{1}, y_{1}) = (-2, 0)[/tex], [tex](x_{2}, y_{2}) = (6, 0)[/tex], [tex](x_{3}, y_{3}) = (0, -4)[/tex]

From definition of second order polynomial and the three points described above, we have the following system of linear equations:

[tex]4\cdot a -2\cdot b + c = 0[/tex] (1)

[tex]36\cdot a + 6\cdot b + c = 0[/tex] (2)

[tex]c = -4[/tex] (3)

The solution of this system is: [tex]a = \frac{1}{3}[/tex], [tex]b = - \frac{4}{3}[/tex], [tex]c = -4[/tex]. Hence, the equation of the parabola is [tex]y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4[/tex]. Lastly, we must check if [tex](x,y) = (2, -5)[/tex] belongs to the function. If we know that [tex]x = 2[/tex], then the value of [tex]y[/tex] is:

[tex]y = \frac{1}{3}\cdot (2)^{2}-\frac{4}{3}\cdot (2) - 4[/tex]

[tex]y = -5.333[/tex]

[tex](x,y) = (2, -5)[/tex] does not belong to the function, the real point is [tex](x,y) = (2, -5.333)[/tex].

Answer:

1: 62

2: 118

3: 62

4: 118

Step-by-step explanation:

1 and 3 are opposite angles so they have the same measure. 2 and 1 are adjacent angles on a linear plane. since a line is 180 degrees and we know that one of the angles on this plane is 62, that means that angle 2 must be 180 - 62 which 118 degrees

Answer:

105.12 feets

Step-by-step explanation:

From the figure x we can identify a rectangle and a semicircle :

Area of rectangle = Length * width

Area = 8 * 10 = 80 feet²

The Area of a semicircle = 1/2πr²

Radius, r = 8 /2 = 4 feets

A = 1/2 * 3.14 * 4²

A = 3.14 * 8

A = 25.12 feet²

Area of figure = 80 + 25.12 = 105.12 feets

Answer:

C

Step-by-step explanation:

Here's the easy way. There are 3 equations. One of the equations uses y=1. So it must be C.

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Hi there!

In the given equation, [tex]y= -\frac{2}{3} x -5[/tex], the slope of the line is [tex]-\frac{2}{3}[/tex].

Perpendicular lines always have slopes that are negative reciprocals, like negative "flipped" fractions.

Example: The reciprocal of [tex]\frac{2}{1}[/tex] (which is the same as 2) is [tex]\frac{1}{2}[/tex]. The negative of [tex]\frac{1}{2}[/tex] is [tex]-\frac{1}{2}[/tex].

Example 2: The negative reciprocal of [tex]-\frac{4}{3}[/tex] is [tex]\frac{3}{4}[/tex].

Using this logic, we can determine that the negative reciprocal of [tex]-\frac{2}{3}[/tex] is [tex]\frac{3}{2}[/tex]. Therefore, the slope of a line perpendicular to the line whose equation is [tex]y= -\frac{2}{3} x -5[/tex] would be [tex]\frac{3}{2}[/tex].

I hope this helps!

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. The rate of investment on $1000 is 7.5$ and on $12,000 is 8%.

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

SI = PRT

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

Let the rate of interest be represented by r. Given that the annual interest on a $12,000 investment exceeds the interest earned on a $1000 investment by 885. The $12,000 is invested at a 0.5% higher rate of interest than the $1000. Therefore, the equation for the interest can be written as,

$12,000(r + 0.005) - $1,000(r) = $885

12000r + 60 - 1000r = 885

11000r = 825

r = 0.075

r = 7.5%

Hence, the rate of investment on $1000 is 7.5$ and on $12,000 is 8%.

Learn more about Simple Interest:

https://brainly.com/question/2793278

#SPJ2

Answer:

Step-by-step explanation:

using the information on the problem a function can can be made

f(n)= 28000(0.75)×

where x is the amount of years

plug in 4 for x in the equation to get

f(4)=8859.375

Answer:

can you add a photo?

Step-by-step explanation:

The amplitude of the function is 6.5.

The amplitude of a function is the amount by which the graph of the function travels above and below its midline.

When graphing a sine function, the value of the amplitude is equivalent to the value of the coefficient of the sine.

Given is graph, It intersects its midline at (-1/2pi,3.3), and it has a maximum point at (-2pi,9.8).

The amplitude of a function is the maximum displacement from the form a fixed point or from the origin.

From the graph, you take the initial position of the object from the broken red line which is equal to 3.3 at the Y axis.

The peak or the maximum value = 9.8

Amplitude = 9.8 - 3.3 = 6.5

The maximum displacement is at Y axis

Hence, the amplitude of the function is 6.5.

Learn more about amplitude, click;

https://brainly.com/question/15930409

#SPJ7

The complete question is :-

Below is the graph of a trigonometric function. It intersects its midline at (-1/2pi,3.3), and it has a

maximum point at (-2pi,9.8).

What is the amplitude of the function? Please show me how to do it too so I can do the rest of the problems