My grandson came home with math homework. No instructions on how to do. Question: What is the difference between 10-5=5

Find the arc length of the semicircle. Enter an exact answer in terms of . units

storchak [24]

Answer:

The answer is 37.699111848 units or 0 units, pick

Step-by-step explanation:

2πr (θ/360)

4 0

3 years ago

PLEASE HELP MEEEEE

ElenaW [278]

Answer:

t ≥ -12

Step-by-step explanation:

Divide the inequality by the coefficient of t. Because that value is negative, the sign gets reversed.

(-4t)/(-4) ≥ (48)/(-4)

t ≥ -12

5 0

4 years ago

F(x) = -x^2-3x<br> find f (10)

Effectus [21]

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

f*(x)-(-x^2-3*x)=0

STEP

1

:

STEP

2

:

Pulling out like terms

2.1 Pull out like factors :

fx + x2 + 3x = x • (f + x + 3)

Equation at the end of step

2

:

x • (f + x + 3) = 0

STEP

3

:

Theory - Roots of a product

3.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

3.2 Solve : x = 0

Solution is x = 0

Equation of a Straight Line

3.3 Solve f+x+3 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line f+x+3 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of f is -3/1 so this line "cuts" the f axis at f=-3.00000

f-intercept = -3/1 = -3.00000

Calculate the X-Intercept :

When f = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000

x-intercept = -3/1 = -3.00000

Calculate the Slope :

Slope is defined as the change in f divided by the change in x. We note that for x=0, the value of f is -3.000 and for x=2.000, the value of f is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in f. (The change in f is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -2.000/2.000 = -1.000

Geometric figure: Straight Line

Slope = -2.000/2.000 = -1.000

x-intercept = -3/1 = -3.00000

f-intercept = -3/1 = -3.00000

x = 0

3 0

2 years ago

Total world consumption of iron was approximately 900 million tons in 1993. If consumption had increased by 2.5% each year and t

Lilit [14]

Step-by-step explanation:

We can model the annual consumption of iron by the equation

c = 900 million tons x $1.025^n$ , where

n is the number of years after 1993 and

c is the consumption for that year.

An estimate for the total consumption of iron can now be obtained by integrating this equation with respect to a dummy variable, x from 0 to n.

$C = 900*10^6* \int\limits^n_0 {1.025^x} \, dx$

This equation simplifies to

C = 900 million tons x (1.025^n - 1) / ln(1.025), where

x is a dummy variable and

C is the total consumption of iron n years after 1993.

Let R be the amount of iron remaining at n years after 1993, so

R = 480 billion tons - C

R = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

We need to find the value of n when R is 0, so

0 = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

Simplify this equation to obtain

n = 107.4

So the iron will run out in the year 1993 + 107 = 2100

6 0

3 years ago

On a trip to his grandparents, Donny drove 60 miles per hour for 45 minutes and 50 miles per hour for 30 minutes. How many miles

LenaWriter [7]

Donny drove 70 miles.

Since 60 miles per hour is 1 mile a minute so for in 45 minutes he drove 45 miles. After he drove for 50 miles for thirty minutes so in totally he drove 25 since 50 divided by two is 25.

7 0

4 years ago