find the volume of the rectangular prism in cubic feet ​

Answer:

1/25

Step-by-step explanation:

P of both answers are correct =

P first question is answered correct and P second question is answered correct

in probability,  and = multiplication

P first question is answered correct =1 correct answer/5 possible answers =1/5

P second question is answered correct = 1/5

P of both answers are correct = (1/5) · (1/5) = 1/25

Answer:

a) 360 mice

b) 364 mice

Step-by-step explanation:

Assume :

A = number of infected mice , B = number of non-infected mice

P( infected mice overcoming infection ) = 70% = 0.7

P ( Infected mice not overcoming infection ) = 1 - 0.7 = 0.3

P( mice becoming infected ) = 40% = 0.4

P ( mice not becoming infected ) = 1 - 0.4 = 0.6

Number of infected mice = 400

Number of non-infected mice = 1000 - 400 = 600

step 1 ; express the probabilities in matrix form

[tex]P = \left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex]

[tex]X = \left[\begin{array}{ccc}400\\600\\\end{array}\right][/tex]

step 2 : multiply the matrix above to determine the number of mice that will be infected

a) For next week

PX = [tex]\left[\begin{array}{ccc}360\\640\\\end{array}\right][/tex]

i.e. 360 mice will get infected next week

next 2 week = P ( PX )

= [tex]\left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex]  * [tex]\left[\begin{array}{ccc}360\\640\\\end{array}\right][/tex]  = [tex]\left[\begin{array}{ccc}364\\636\\\end{array}\right][/tex]

b) In 3 weeks time

P ( P(PX) = [tex]\left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex]  * [tex]\left[\begin{array}{ccc}364\\636\\\end{array}\right][/tex]  

               = [tex]\left[\begin{array}{ccc}363.6\\636.4\\\end{array}\right][/tex]

i.e.  364 mice will get infected in 3 weeks time

Could you show the options we can choose from?

Answer:

x = 2

y = 1

Step-by-step explanation:

Compare one of the dimensions with the same variable with another.

5x - 4 = 3x

5(2) - 4 = 3(2)

10 - 4 = 6

6 = 6

Statement: True

2y + 4 = 5y + 1

2(1) + 4 = 5(1) + 1

2 + 4 = 5 + 1

6 = 6

Answers: x = 2 y = 1

Answer:

1394 feets

Step-by-step explanation:

The solution triangle is attached below :

The horizontal distabce from the base is denoted as d :

Using trigonometry, we can obtain d, thus ;

Tan θ = opposite / Adjacent

Tan 51 = d / 1129

d = tan 51 * 1129

d = 1394.1988 feets

d = 1394 feets

Answer:

10/18

Step-by-step explanation:

Multiply both the numerator and denominator by 2

Answer:

I believe that the answer is 80X (or C)

Step-by-step explanation:

it looks like it is just under a right angle so i believe that it would be 80X

Answer:

y=6x

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Work Shown:

4(x+2) + 6x

4x+8 + 6x

(4x+6x) + 8

10x+8

Answer:

A = 384 inches^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh  where b is the length of the base and h is the height

A = 1/2 ( 32) *(24)

A = 384 inches^2

Answer:

The area of triangle is 384 inches².

Step-by-step explanation:

Area of triangle = 1/2 × base × height

Using Formula

Area of triangle = 1/2 × base × height

substitute the values into the formula

Area of triangle = 1/2 × 32 inches × 24 inches.

multiply,

Area of triangle = 1/2 × 768 inches ²

Divide, we get

Area of triangle = 384 inches ²

Therefore, The area of triangle is 384 inches².

Answer:

-4

Step-by-step explanation:

Let say other number is 'x'

Equation:-

4(2 + x) = -8

8 + 4x = -8

4x = - 16

x = - 16/4

x = - 4

Answer:

37.14 units

Step-by-step explanation:

the whole circumference of a circle is 2×pi×r

a whole circle rotates 360 degrees (one time all around).

so, the length of the arc for a full trip (360 degrees) around a circle is the stated 2×pi×r.

now, if we go only for a part of that full trip angle, the arc is only the corresponding part of the circumference.

in our example here, r (radius) = QR = 19 units

and we only go along the circle for 112 degrees out of the full 360 (112 parts of the whole 360).

so the arc QS = 2×pi×19 × 112/360 = 37.14 units

Answer:

3x +3

Step-by-step explanation:

3x + 1 + 2units(on the x axis)= 3x +3

Answer:

[tex](5x - 4) \degree = (2x + 14)\degree \\ 3x = 18\\ x = 6[/tex]

Answer:

a

Step-by-step explanation:

aàaaaaaaaaaqaaaarsgbfyjvdujcgujhgkud parlo

Answer:

d

Step-by-step explanation:

Answer:

4 units

Step-by-step explanation:

P of a square is P =4s

A of a square is A = s^2

4s = s^2

Divide each side by s

4s/s = s^2/s

4 =s

Answer:

54 is the answer

have a great dayyyy

Answer:

there are 64 feet in18 yards

Step-by-step explanation:

1 yard equals 3 feet

Answer:

1 and 1/6 cups more

Step-by-step explanation:

1/3 cup sugar

*1 2/4 cups flour = 6/4 cups flour

*assuming it’s 1 and 2/4 and not 12/4 =3

6/4 - 1/3 = (18-4)/ 12 = 14/ 12 = 1 and 1/6

Answer:

189.3 in.²

Step-by-step explanation:

The shape consists of a half circle and a rectangle. Therefore,

Area of the shape = area of the half-circle + area of the rectangle

= ½(πr²) + L*W

r = radius of the half-circle = ½(10) = 5 in.

L = length of the rectangle = 15 in.

W = width of the rectangle = 10 in.

Plug in the values

Area of the shape = ½(π*5²) + 15*10

Area of the shape = 39.27 + 150

= 189.27 ≈ 189.3 in.² (Nearest tenth)

Answer:

Point a

negative means on a number line to the left side

Step-by-step explanation:

Step-by-step explanation:

the answer is b, it doesnt get you to your location faster

Answer: Option A will be the correct answer

Step By Step Explanation: Because Main thing is its matching to the sentence

Answer:

20 pieces of wood

Step-by-step explanation:

5 divided by 1/4: 20

another way to look at it is if there are 4 of these pieces in a foot, and there are 5 feet, 4 times 5 is also 20.

Answer:

Yes. Factored form.

Step-by-step explanation:

Answer:

yes, and it's in intercept form

Step-by-step explanation:

Hi there!

We are given the function f(x)=-2(x-4)(x+3)

A quadratic function is a function that has a degree of 2 (the highest exponent in the function is to the 2nd power)

There are 3 forms to write a quadratic function:

standard form, which is f(x)=ax²+bx+c, where a, b, and c are free coefficients (numbers)

vertex form, which is f(x)=a(x-h)²+k, where a is a free coefficient and (h,k) is the vertex

intercept form, which is f(x)=a(x-[tex]x_{1}[/tex])(x-[tex]x_{2}[/tex]), where a is a free coefficient and [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are the x intercepts

You may notice that  f(x)=-2(x-4)(x+3)  is actually in intercept form; a is -2 and  [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are 4 and -3 respectively (remember: the formula for intercept form has  -[tex]x_{1}[/tex] and -[tex]x_{2}[/tex], but the x intercepts are  [tex]x_{1}[/tex] and [tex]x_{2}[/tex]. Therefore, the x intercepts should be the opposites of  -[tex]x_{1}[/tex] and -[tex]x_{2}[/tex]).

If the formula is in intercept form, it should be quadratic.

However, if you want to be sure it's quadratic, you can expand the function.

f(x)=-2(x-4)(x+3)  

first, multiply the binomials together using FOIL

(x-4)(x+3)

x²-x-12

now multiply x²-x-12 by -2

-2(x²-x-12)

do the distributive property

-2x²+2x+24

It's a quadratic function! The value of the highest exponent is 2 :)

Hope this helps!

Answer:

Step-by-step explanation:

BC=[tex]\sqrt{5^2+5^2}[/tex]

x   =[tex]\sqrt{50}[/tex]

x   = 5[tex]\sqrt{2}[/tex]

tan theta= 5/5

      theta= tan^-1 (5/5)        

                =45°

Step-by-step explanation:

BC=\sqrt{5^2+5^2}52+52

x   =\sqrt{50}50

x   = 5\sqrt{2}2

tan theta= 5/5

      theta= tan^-1 (5/5)        

                =45°

Answer:

y = 1/2 x + 9

Step-by-step explanation:

y = 1/2 x + b

4 = (1/2)(-10) + b

4 = -5 + b

b = 9

Answer:

dang good luck

Step-by-step explanation:

3 hour 30 minutes : 36 minutes

1 hour = 60 minutes

3 hour = 3×60 minutes = 180 minutes

3hour 30 minutes = 180 minutes + 30 minutes

                               = 210 minutes

210 minutes : 60 minutes

3 hours 30 minutes : 60 minutes = 6:2

looks like something around 14, yet not quite sure