Algebra Word Problem Solutions

A soldier on a firing range fires an 8-shot burst from an assault weapon at a full automatic rate of 1000 rounds per minute. Each bullet has a mass of 7.42 g and a speed of 291 m/s relative to the ground as it leaves the barrel of the weapon.
Calculate the average recoil force exerted on the weapon during that burst.

In a nonlinear system of equations or inequalities, ______ equation or inequality must be nonlinear.

Write a proportion to find how many points x a student needs to score on a test worth 150 points to get a test score of 96%.

${\displaystyle \left(b\right)y{y}^{\prime }=x}$
${\displaystyle \left(d\right)y^{\prime }=\frac{e^x-y}{1+e^x}}$

Working with parametric equations Consider the following parametric equations.
a. Eliminate the parameter to obtain an equation in x and y.
b. Describe the curve and indicate the positive orientation.
${\displaystyle x=-7\cos 2t,y=-7\sin 2t,0\le t\le \pi }$

how many different outfits can be put together if you may choose one of 7 jeans, one of 4 shirts and one of 3 belts?

Teresa earns a weekly salary of $925 and a 5% commission on her total sales. Ramón earns a weekly salary of $1,250 and a 3% commission on sales. What amount of sales, x, will result in each of them earning the same amount for the week?

In which set(s) of numbers would you find the number ${\displaystyle \sqrt{80}}$
- irrational number
- whole number
- rational number
- integer
- real number
- natural number

Write seller As

Find the distance from(2,-7,8) to each of the following.
a) the xy-plane-?
b)the yz-plane-?
c)the xz-plane-?

Need to calculate:The value of g(6) from the function $g(x)=\{\begin{array}{l}x-5ifx\le 5\\ 3xifx>5\end{array}$

State Cauchy-Riemann equations. Show that f(z) x*+ iy

For each systems of equations below choose the best method for solving and solve
3x+y=24
-x-y=-10

Suppose you purchase an iphoneX for $720 when it initially launched. The resale value decreases 3.08% each month since launch. Write an exponential function that models this situation, where t is the number of months after launch. Call it P(t). (round to the nearest thousandth.)

A "Student Drug Use and Health Survey" of Ontario high school students found that the percentage of students that reported serious psychosocial distress in the past month increased from 10.7% in 2013 to 17.1% in 2017.
Assuming a standard exponential growth trend, what is the annual growth rate in the percentage of students reporting serious psychosocial distress in the past month?

Solve (1,2)

$$\begin{gathered} 3x-y=1 \\ 2x+3y=8 \end{gathered}$$

Find values of a and b such that the system of linear equations has (a) no solution, (b) exactly one solution, and (c) infinitely many solutions.
x + 2y = 3
ax + by = −9

Solve the following

$125\times 16$

Perform the modular arithmetic.
$(19-8)\mathrm{mod}7$

What can you say about the accuracy of your measurements?
What can you say about the precision of your measurements?
(Measure the longest dimension of the room twice, using two different techniques. Do the measurement in feet and inches. Then convert to meters.) Below is what I got.
$TapeMeasure-146inches>\frac{3.7084meters}{12feet}and2inches=12.1667feet>3.70840meters$
$Ruler-144.5inches(144+\frac{1}{2})=\frac{3.6703meters}{12.0416feet}=3.67027meters$