At the beginning of a snowstorm, Nathaniel had 5 inches of snow on his lawn.
The snow then began to fall at a constant rate of 1.5 inches per hour.
Assuming no snow was melting, how much snow would Nathaniel have on his
lawn 5 hours after the snow began to fall? How much snow would Nathaniel
have on his lawn after t hours of snow falling?
Snow after 5 hours:
Show after t hours:

Answer:

If these are the only two options, the most profitable is the first option (6% and 10 years).

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $3,000

Number of periods (n)= 10 years or 5 years

Interest rate (i)= 6% or 10%

To calculate the future value (FV), we need to use the following formula:

FV= PV*(1 + i)^n

6% interest rate:

FV= 3,000*(1.06^10)

FV= $5,372.54

10% interest rate:

FV= 3,000*(1.1^5)

FV= $4,831.53

If these are the only two options, the most profitable is the first option (6% and 10 years).

Answer: 7/8

Step-by-step explanation:

1 1/4 - 3/8 = 1.25 - 0.375 = 0.875 = 7/8

Answer:

The correct answer should be the first option.

Step-by-step explanation:

Answer:

First option. The graphs domain is -∞<x<∞ and its range is -5 ≤ y < ∞

Step-by-step explanation:

I graphed this function

Domain: x ∈ R

Range: y ∈ [-5, + ∞

Minimum (1, -5)

Verticle intercept (0, -4)

Step-by-step explanation:

Y = 1.671 X + 4.699

The equation of best fit data is Y = 1.671 X + 4.699

Fitting an equation to data is finding a linear, quadratic, exponential, or any other sort of function whose graph includes, or comes as close as possible to, a given set of data in the form of ordered pairs. The relative predictive power of a model shows how accurately the model is related to the data.

The theoretical pattern best accounts for the relationships among variables in a data set. For example, a regression equation having the best fit to sample data is the one that minimizes differences between observed and predicted values.

Learn more about the equation here: https://brainly.com/question/1214333

#SPJ2

Answer:

the answer to this is C. 129 cm

Answer:

x= 8/12 or x = 18/12

Step-by-step explanation:

Answer:

C.  

Step-by-step explanation:

C= 5 and D= -2.  

Answer:

(3, 0) and (5, 0)

Step-by-step explanation:

Answer:

I believe it would be $31.39

Step-by-step explanation:

Original Price - $45

Price With Sale And Tax $31.39

Hope that helps!

Answer:

Sure but what's the math problem?

Answer:

where is the pic??

9514 1404 393

Answer:

  a) k = -19

  b) P(x) = (5x +1)(3x -1)(2x -1)

  c) x = {-1/5, 1/3, 1/2}

  d) see attached

  e) no; P(-1) = -48

  f) see attached

Step-by-step explanation:

a) The second attachment shows synthetic division of P(x) by the factor (x -1/3). The remainder is 0 when the final expression is zero:

  1 + (10 +k)/9 = 0

  (10 +k)/9 = -1 . . . . . subtract 1

  10 +k = -9 . . . . . . . .multiply by 9

  k = -19 . . . . . . . . . . subtract 10

For (3x -1) to be a factor, the value of k is -19.

__

b) The graph (see part C) shows the zeros of the function to be -0.2, 0.333..., and 0.5. This means the linear factors are ...

  P(x) = (5x +1)(3x -1)(2x -1)

The linear factors can also be obtained by finishing the factoring of ...

  P(x) = (3x -1)(10x^2 -3x -1)

The quadratic factor is the synthetic division result, divided by 3. It can be factored by grouping: 10x^2 -3x -1 = (10x^2 -5x) +(2x -1) = 5x(2x -1) +1(2x -1).

So P(x) = (3x -1)(5x +1)(2x -1).

__

c) The graph shows the zeros to be x ∈ {-1/5, 1/3, 1/2}.

__

d) See the attachment for a graph

__

e) The point (-1, -40) is not on the graph. Evaluating P(-1) gives -48. The point that would be on the graph for x=-1 is (-1, -48).

__

f) See the attachment.

Given,

» Perimeter means total length of its boundary.

→ Octagon has 8 sides.

So,

→ Perimeter of Octagon = Length of 8 sides

→ Perimeter of Octagon = 8 ( 2a + 1 ) units

→ Perimeter of Octagon = 16a + 8 units

Therefore,

Step-by-step explanation:

Side of the octagon

An octagon has 8 sides. Each side is 2a + 1 units.

8(2a + 1)

= 16a + 8

Answer:

250 hamburgers

Step-by-step explanation:

Explanation: Because IK

Answer:

34 trabajadores.

Step-by-step explanation:

Supongamos que el empresario tiene N trabajadores, y tiene la cantidad de dinero D para pagarles cada día.

Si el empresario decide pagarle 50 a cada trabajador le faltan 110.

Esto se puede reescribir como:

50*N = D + 110

(50 por número de empleados es igual que el dinero que tiene más lo que le falta para pagar)

También sabemos que si pagara 45 a cada empleado, le sobraría 60.

Esto se puede reescribir como:

45*N = D - 60

Entonces tenemos dos ecuaciones:

50*N = D + 110

45*N = D - 60

Para resolver esto, el primer paso es aislar una de las variables en una de las ecuaciones, en este caso aislaré D en la segunda ecuación.

45*N + 60 = D

Ahora podemos reemplazar esto en la primer ecuación y resolver para N

50*N = (45*N + 60) + 110

50*N = 45*N + 170

50*N - 45*N = 170

5*N = 170

N = 170/5 = 34

El empresario tiene 34 trabajadores.

Answer:

72 different ratings

Step-by-step explanation:

To find how many different ratings there are, multiply all the factors together.

2 * 4 * 3 * 3 = x

8 * 9 = x

x = 72

72 different ratings

Answer:

i wish i can help but good luck

Step-by-step explanation:

Answer:

Bunnies= 13    Chickens=28

Step-by-step explanation:

Let's put

x = bunnies------4 legs

y = chickens-----2 legs

x + y = 41----------------x= 41-y

4x+ 2y = 108

replace in 2nd equation

4(41 - y) + 2y = 108

164 - 4y + 2y = 108

2y = 56

y = 56/2= 28

x = 41 - 28= 13

Answer:

I believe it's a^2 * b^2 = c^2

Step-by-step explanation:

a^2 * 9^2 = 15^2

hope this helps! :)

Answer:

Whats the equation?

Step-by-step explanation:

If you attach a pic maybe I can help!

Answer:

Neither

Step-by-step explanation:

Consecutive means 1 right after the other. so they touch. and if they are SIDES then they must be intersecting somewhere along the way so they wouldn't be either of the other two.

Answer:

24

Step-by-step explanation:

help me just

plz

hmmm

or let me die

Answer: No

Step-by-step explanation: Because if the team lost 10 yards from 9 1/2 then they would be negative yards if they lose 5 yards they will have 5 1/2 and if they gain 7 yards their total will be 1.5 so they never made it to 10+ yards.

Hope it helps you......

Answer:

x² + y² = 3

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

Using Pythagoras' identity in right triangle CRT

CR² = 1² + ([tex]\sqrt{2}[/tex] )² = 1 + 2 = 3 ( take the square root of both sides )

CR = r = [tex]\sqrt{3}[/tex] , then

x² + y² = ([tex]\sqrt{3}[/tex] )² , that is

x² + y² = 3

Answer:

QX = 5.7

Step-by-step explanation:

Here, we want to get QX

For a rectangle, the length of the parallel sides are equal

Thus,

SR will be 8 too

Since x is the midpoint of SR, we have it that RX is 4 too

The angle at each corner of the rectangle is 90 degrees each

Thus,

QRX is a right triangle

Mathematically, QX is the hypotenuse of this triangle as it is the side that faces the right angle

According to Pythagoras’ ; the square of the hypotenuse of a right triangle equals the sum of the squares of the two other sides

thus;

Qx^2 = 4^2 + 4^2

QX^2 = 32

QX = √(32)

QX = 5.7 units

Answer:

Step-by-step explanation:

If you check each answer, only B works since it is the only one that would place everything correctly on the timeline