when a² + a - 3 is subtracted from 3a² - 5, the result is ​

Answer:

100÷16=6.25 then 6.25×16=100 then 6.25×2=12.5

Step-by-step explanation:

answer is 12.5 precent

Using the normal distribution, it is found that there is a 0.8943 = 89.43% probability of a demand above 750.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The probability of a demand above 750 is one subtracted by the p-value of Z when X = 750, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{750 - 1000}{200}[/tex]

[tex]Z = -1.25[/tex]

[tex]Z = -1.25[/tex] has a p-value of 0.1057.

1 - 0.1057 = 0.8943

0.8943 = 89.43% probability of a demand above 750.

A similar problem is given at https://brainly.com/question/24663213

Step-by-step explanation:

x + y = 200

x : y = 4 : 6

x + y = 200

y = 200 - x

x : y = 4 : 6

x : (200 - x) = 4 : 6

6.x = 4(200 - x)

6x = 800 - 4x

10x = 800

x = 800/10

x = 80

y = 200 - x

y = 200 - 80

y = 120

(x,y) = (80,120)

Answer:

$73280.74

Step-by-step explanation:

We will use the compound interest formula to find the answer

A = P (1 + r/n)^(nt)

Where A is the total amount of money, P is the principal investment amount (how much you put in initially), R is the interest rate, N is the number of times interest is applied per period and T is the number of time periods elapsed.

$10,000 would be the principal investment amount

10% would be the interest rate

12 would be the number of times interest is applied per period (since it is paid monthly)

and 20 would be the number of time periods (as it's the number of years)

A = 10000(1+0.1/12)^(12*20)

A = 10000(7.3280736)

A = 73280.74

u. The distance we travel in the direction of v, while traversing u is called the component of u with respect to v and is denoted compvu. The vector parallel to v, with magnitude compvu, in the direction of v is called the projection of u onto v and is denoted projvu.

Answer:

[tex]comp_vu=\sqrt{2}[/tex]

Step-by-step explanation:

The component of vector u along v is [tex]comp_vu=\frac{u\bullet v}{||v||}[/tex] where [tex]u\bullet v[/tex] is the dot product and [tex]||v||[/tex] is the magnitude of vector v.

The dot product is [tex]u\bullet v=u_1v_1+u_2v_2=(-4)(1\sqrt{2})+(6)(1\sqrt{2})=2\sqrt{2}[/tex]

The magnitude of vector v is [tex]||v||=\sqrt{v_1^2+v_2^2}=\sqrt{(1\sqrt{2})^2+(1\sqrt{2})^2}=\sqrt{2+2}=\sqrt{4}=2[/tex]

Therefore, the component of vector u along v is [tex]comp_vu=\frac{u\bullet v}{||v||}=\frac{2\sqrt{2}}{2}=\sqrt{2}[/tex]

Answer: a = 2 and r=-1.

Step-by-step explanation:

Answer:

321.565

Step-by-step explanation:

hundredths is the second digit behind the decimal point so that means 5+1 is 6 Hope this helps

The value of [tex]x[/tex] associated to the extreme value of the quadratic equation [tex]k(x) = (300+10\cdot x)\cdot (5-0.2\cdot x)[/tex]. The extreme value is [tex]k\left(-\frac{5}{2} \right) = \frac{3025}{2}[/tex].

First, we need to expand the polynomial as follows:

[tex]k(x) = (300+10\cdot x)\cdot (5-0.2\cdot x)[/tex]

[tex]k(x) = 300\cdot (5-0.2\cdot x)+10\cdot x\cdot (5-0.2\cdot x)[/tex]

[tex]k(x) = 1500-60\cdot x +50\cdot x -2\cdot x^{2}[/tex]

[tex]k(x) = -2\cdot x^{2}-10\cdot x +1500[/tex]

[tex]-2\cdot x^{2}-10\cdot x +[1500-k(x)] = 0[/tex]

By the quadratic formula, we know that a value of [tex]x[/tex] pass through the axis of symmetry of the parabola if and only if the discriminant is zero:

[tex]-100-4\cdot (-2)\cdot [1500-k(x)] = 0[/tex]

And the value of [tex]x[/tex] is:

[tex]x = -\frac{(-10)}{2\cdot (-2)}[/tex]

[tex]x = -\frac{5}{2}[/tex]

And the extreme value is:

[tex]k\left(-\frac{5}{2} \right) = -2\cdot \left(-\frac{5}{2} \right)^{2}-10\cdot \left(-\frac{5}{2} \right) + 1500[/tex]

[tex]k\left(-\frac{5}{2} \right) = \frac{3025}{2}[/tex]

The value of [tex]x[/tex] associated to the extreme value of the quadratic equation [tex]k(x) = (300+10\cdot x)\cdot (5-0.2\cdot x)[/tex]. The extreme value is [tex]k\left(-\frac{5}{2} \right) = \frac{3025}{2}[/tex].

We kindly invite to check this question on symmetry: https://brainly.com/question/17759737

Answer:

this is the correct answer happy

Answer:

  1/12 goes in the blank

Step-by-step explanation:

For there to be infinitely many solutions, the left and right sides must be identical when simplified.

  x -1/4 = 3(1/3x - __) . . . . divide by 2

  x -1/4 = x -3(__) . . . . . . . eliminate parentheses

  -1/4 = -3(__) . . . . . . . . . subtract x

  1 = 12(__) . . . . . . . . . . . multiply by -4

  1/12 = __ . . . . . . . . . . divide by 12

The equation with infinitely many solutions is ...

  2(x -1/4) = 6(1/3x - 1/12 )

Answer:

y 3x - 1

Step-by-step explanation:

y = 1/2(6x + 2) - 2      change 1/2 to .5

y = .5(6x + 2) - 2    

y = .5(6x) + .5(2) - 2           Distributive property

y = 3x + 1 - 2                        Multiplication

y = 3x - 1                              Simply

Step-by-step explanation:

Formula Used

By distance formula,

[tex] \sf \longmapsto \: D = √(x2-x1)²+(y2-y1)²[/tex]

[tex] \sf \longmapsto= √(9+5)²+(2-2)²[/tex]

[tex] \sf \longmapsto= = √14²+09[/tex]

[tex] \sf \red \longmapsto \boxed{= 14}[/tex]

Answer:

3820.18cm³ i know it is right

Step-by-step explanation:

brainlest for me please

Answer:

Step-by-step explanation:

8! = 40,320

Answer:

[tex]y + 5 =- \frac{1}{4} (x-4)[/tex]

Step-by-step explanation:

You will find the slope-intercept form first, and then you can find the point slope form of the equation

Answer:

The answer is 0.003

Step-by-step explanation:

In order to convert a percentage into a decimal you have to move the decimal two places to the left; just like how you turn a decimal into a percentage by moving the decimal two places to the right.

Answer:

747554

Step-by-step explanation:

The second number must be less than 5. All of the others are arranged by value.

Answer:

1, 2, 3, 6, 47, 94, 141, 282, 1609, 3218, 4827, 9654, 75623, 151246, 226869, 453738

Step-by-step explanation:

I looked it up

Answer:

năm thứ nhất: 250 tạ = 17000 kg

năm thứ hai: 310 tạ = 21080kg

Step-by-step explanation:

34 dollars worth of chicken

Answer:

Graph C

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  ( 2 /3 ,  − 10 /3 )

Focus:  ( 2 /3 ,  − 13 /4 )

Axis of Symmetry:  x = 2 /3

Directrix:  y = − 41 /12

x                        y

− 1                      5

0                      − 2

2                       3

− 10                    3

2                       2

3                       13

Answer:

1150

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

When x increased by 1 units, y has decreased by 4 units. So it's -4.

Or if we use y1-y2/x1-x2

= 17 - (-3) / -2-3 = (17+3)/-5

20/-5 = -4

Answer:

-4

pick two points and divide the difference of the y coordinates by the difference of the x coordinates so:

(17-13)/(-2-(-1)) = 4/(-1) = -4

Step-by-step explanation:

1/2(114)+(58*2)

1/228+(116)

1/228+116/1=

26676/228=117

Answer:

640 cm^3

Step-by-step explanation:

Volume of a rectangular prism is determined by:

depth * width * height

Here our depth, width, and height are:

10, 8, and 8

So our equation is:

10 * 8 * 8 = 640 cm^3

Answer:

  $10,304.54534

Step-by-step explanation:

The compound interest formula is ...

  A = Pe^(rt)

Substituting the given values, we get ...

  A = $10,000·e^(0.03·1) ≈ $10,304.54534

Answer:

omg im still dont no

Step-by-step explanation:

sorry

Step-by-step explanation:

∠6 = 10x

∠7 = 5x

∠6 = ∠8

∠7 = ∠5

Find value of x

∠5 + ∠6 + ∠7 + ∠8 = 360

5x + 10x + 5x + 10x = 360

30x = 360

x = 360/30

x = 12°

Answer:

0

Step-by-step explanation:

Hope this helps!

(Brainliest is appreciated)