An element with mass 820 grams decays by 26. 8% per minute. How much of the element is remaining after 18 minutes, to the nearest 10th of a gram?.

Step-by-step explanation:

since the polynomial is in the form

+x² - nx - m

we know that we are looking for 2 factors of x (to create x²).

and they must be in the form of

(x + a)(x - b)

to create the negative "m" at the end.

and "b" must be larger than "a" to create the negative "n" in the middle.

let's do the multiplication and compare the parts with our actual expression :

(x + a)(x - b) = x² - bx + ax - ab = x² + (a - b)x - ab

so, we know now in numbers that

-ab = -44

ab = 44

and

a - b = -7

a = b - 7

the short solution here is trial and error with the factors of 44 :

44 = 1×44 = 2×22 = 4×11

ah, only one combination has a difference of the factors of 7 or -7 : 4 and 11.

since b has to be larger (as a - b = -7), we have a = 4 and b = 11

and the factorization of our original expression is

f(x) = (x + 4)(x - 11)

FYI

if there is not such a short list of options to try, we can also go the full formal way :

we can use the second equation as identity in the first equation and get

(b - 7)b = 44

b² - 7b = 44

b² - 7b - 44 = 0

by the way, it is not surprising that it looks the same way as the original expression in x, because the factorization uses exactly the zero solutions for the original expression.

anyway, the formal solution to a quadratic equation of

ax² + bx + c = 0 is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = b (the variable of our equation above)

a = 1

b = -7

c = -44

b = (7 ± sqrt((-7)² - 4×1×-44))/(2×1) =

= (7 ± sqrt(49 + 176))/2 = (7 ± sqrt(225))/2 =

= (7 ± 15)/2

b1 = (7 + 15) / 2 = 22/2 = 11

b2 = (7 - 15) / 2 = 8/2 = 4

based again on the original equations and the fact that b has to be the larger number, we get again (of course) that b1 is the valid solution and

b = 11 and a = 4

[tex][Hello,BrainlyUser][/tex]

[tex]\left[Here\; your \;Answer\; below}\right][/tex]

Answer:

7

Step-by-step explanation:

Given;

Kyle has 13 notebooks (1 for each class) and he puts 5 stickers on each one

Solve;

If Kyle wants to put 5 stickers on each of his 13 classroom notebooks, then we simply multiply 5*13 to find out how many stickers he will use in total.

5 * 13 =65

Kyle used 65 stickers total.

Then, to find out how many sheets he used, we will simply divide the total amount of stickers (T) by the amount of stickers on a sheet (S).

T = 65

S = 10

65/10 = 6.5

Thus, He will need 7 sheets, but will only use 6 and a half sheets.

[CloudBreeze]

Answer:

howdy, I THINK it's 27

Step-by-step explanation:

because I searched it up

Answer:

22,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

To factor out a GCF from a polynomial we first need to identify the GCF of all the terms, this is the part that goes in front of the parenthesis, then we divide each term by the GCF, the answer is what is left inside the parenthesis. This is shown in the following examples Example 3. 4x2−20x+16 4x2 −20x16GCF is4, divide each term by4

Answer:

Im not completely sure what this question is asking, however I'll try...

Well, if the length is in feet and the width is in feet, that would conclude that the perimeter would also be in feet. If you're asking for the actual number answer for what the perimeter is, I will not be able to help since there is a lack of information; you can only determine the perimeter when given the exact number of feet, both the width and length are.

Step-by-step explanation:

Hi!

Given:

The first equation we can make can use the total number of tickets. The total number of tickets would be equal to the number of student tickets plus the number of adult tickets, correct? Therefore:

[tex]x+y=2400[/tex]

Now, the second one can use the profit and the price of each ticket. The number of student tickets multiplied by 3 (for the price) plus the number of adult tickets multiplied by 5 would be equal to the total profit. Hence:

[tex]3x+5y=9000[/tex]

Therefore, your system of equations is:

[tex]x+y=2400[/tex]

[tex]3x+5y=9000[/tex]

The z-probability for the condition -0.78 ≤ z  ≤ 1.16 is 66%.

A z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

It is given that

-0.78 ≤ z  ≤ 1.16

We have to find the p-value corresponding to -0.78 ≤ z  ≤ 1.16.

This means, p(-0.78 ≤  z ≤ 1.16)

p(0.78≤ z ≤1.16) can be written as p(z ≤ 1.16) - p(z ≤ -0.78)

p(0.78≤ z ≤1.16) =  p(z ≤ 1.16) - (1-p(z ≤ 0.78))

p(0.78≤ z ≤1.16) =  p(z ≤ 1.16) -1 + p(z ≤ 0.78)

From the standard normal table,

p(z ≤ 1.16)=0.87698

p(z ≤ 0.78)=0.78230

So, p(0.78≤ z ≤1.16)= 0.87698-1+0.78230

p(0.78≤ z ≤1.16) = 0.65928≈0.66 i.e 66%

Therefore, the z-probability for the condition -0.78 ≤ z  ≤ 1.16 is 66%.

To get more about standard normal distribution visit:

https://brainly.com/question/6758792

Answer:

66%

Step-by-step explanation:

hopes this helps!! have an amazing day <3

Answer:

150 and 30 degrees

Step-by-step explanation:

3x=x+100

2x=100

x=50

going in order from left to right, top to bottom, the answers would be

150, 30, 30, 150

sorry if i explained it weird '^^

Answer:

50.24 cm

Step-by-step explanation:

circumference = 2πr

circumference = 2 × 3.14 × 8 cm

circumference = 50.24 cm

Remember to include cm in the answer. It should read 50.24 cm.

You got it right. Good job!

Answer 48°

l hope na tama ang sagut ko

Answer:

800,000 people

Step-by-step explanation:

All the roots of the provided function If f(1) is equal to the zero are -3, -1 and 1.

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The function given in the problem is,

[tex]f(x)=x^3+3x^2-x-3[/tex]

If f(1) = 0

[tex]f(1)=(1)^3+3(1)^2-(1)-3\\f(1)=1+3-1-3\\f(1)=0[/tex]

Thus, (x-1) is one of the factor of polynomial. Equate the polynomial equal to the zero, to find other roots as,'

[tex]x^3+3x^2-x-3=0\\x^2(x+3)-1(x+3)=0\\(x+3)(x^2-1)\\(x+3)(x+1)(x-1)=0[/tex]

Equate all the groups to zero to find the roots as,

[tex]x+3=0, x=-3\\x+1=0, x=-1\\x-1=0, x=1[/tex]

Hence, all the roots of the provided function If f(1) is equal to the zero are -3, -1 and 1.

Learn more about polynomial here;

https://brainly.com/question/24380382

Answer: B

Step-by-step explanation:

We see that the zeros of the function are 4 and 5.

Now lets us write that into the equation

    [tex]y=(x-4)(x-5)[/tex]

Now multiply that out

    [tex]y = x^2-5x-4x + 20 = x^2-9x+20[/tex]

Hope that helped!

Answer: B, C, E, and F.

Step-by-step explanation: All these answers I picked all simplify to 9^x. A and D both don't simplify to that as both are 27^x.

Hope this helps! :)

Answer: 23

Step-by-step explanation:

~Shoto Todoroki here~

Use the form a cos(bx−c)+d

to find the amplitude, period, phase shift, and vertical shift.

Amplitude: 3/4

Period: 2π/3

Phase Shift: None

Vertical Shift: 4

hope this helps :D

Answer:

+(a-5)

Step-by-step explanation:

Take out the positive sign as a common factor and change the middle positive sign to negative.

Answer:

D. Their addiction to nicotine.

Explanation:

Nicotine is a type of drug which makes it tough for smokers to stop smoking and this is what makes them attracted most. The more nicotine you inhale, the better you feel - giving pleasure. Nicotine is harmful for the body and increases possibility of heart attack.

Answer:

36√3 cm2 is the answer you should be expected

Answer:

v=pie r² ×h

v=3.14×2²×8

v= 100.48

Step-by-step explanation:

you are using diameter as the radius that is why exactly you are not getting it right! divide the diameter by 2 to get radius and use it with the formula

Answer:

33 feet

Step-by-step explanation:

6 sprinklers

5.5 feet each

6x5.5= 33feet

Step-by-step explanation:

John = 1-(⅗) = ⅖

hope you are helped.

Answer:

if Allan ate 3/5 and the full is 5/5 then John ate 2/5

Answer:

49 is your only answer........

Step-by-step explanation:

6 - 2.39 = 3.61 meteres remaining for the rope

Answer: The equation for a straight line is a linear equation. Since linear usually stands for anything straight or in a line, thus the equation for lines in the XY plane is referred to be a linear equation. For example, 2x+3y = 5 is a linear equation in two variables.

Step-by-step explanation: