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3 years ago

How much is a corrections officer's average weekly pay if he receives $38,970 annually?

Mathematics

1 answer:

algol133 years ago

7 0

Amount the correction officer receives annually = $38970

There are 52 weeks in a year.

So, the officer receives 38970 in 52 weeks.

Average = total pay annually/number of weeks in a year

Hence, in 1 week he receives= $\frac{38970}{52}$

= 749.42

Hence, the officer's average weekly pay is $749.42

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Describe how to find the number of four dollar train ticket you can buy with $32

aleksley [76]

You solve this, you simply divide 32 by 4 to find out how many you can buy. If you divide 32 by 4, you get 8. So you can buy 8 train tickets in total.

8 0

3 years ago

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.

Oliga [24]

Answer:

$\displaystyle 1)48.2 \: \: \text{sec}$

$\rm \displaystyle 2)3021.6 \: m$

Step-by-step explanation:

<h3>Question-1:</h3>

so when <u>flash down</u><u> </u>occurs the rocket will be in the ground in other words the elevation(height) from ground level will be 0 therefore,

to figure out the time of flash down we can set h(t) to 0 by doing so we obtain:

$\displaystyle - 4.9 {t}^{2} + 229t + 346 = 0$

to solve the equation can consider the quadratic formula given by

$\displaystyle x = \frac{ - b \pm \sqrt{ {b}^{2} - 4 ac} }{2a}$

so let our a,b and c be -4.9,229 and 346 Thus substitute:

$\rm\displaystyle t = \frac{ - (229) \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}$

remove parentheses:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}$

simplify square:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 4( - 4.9)(346)} }{2.( - 4.9)}$

simplify multiplication:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 6781.6} }{ - 9.8}$

simplify Substraction:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 45659.4} }{ - 9.8}$

by simplifying we acquire:

$\displaystyle t = 48.2 \: \: \: \text{and} \quad - 1.5$

since time can't be negative

$\displaystyle t = 48.2$

hence,

at <u>4</u><u>8</u><u>.</u><u>2</u><u> </u>seconds splashdown occurs

<h3>Question-2:</h3>

to figure out the maximum height we have to figure out the maximum Time first in that case the following formula can be considered

$\displaystyle x _{ \text{max}} = \frac{ - b}{2a}$

let a and b be -4.9 and 229 respectively thus substitute:

$\displaystyle t _{ \text{max}} = \frac{ - 229}{2( - 4.9)}$

simplify which yields:

$\displaystyle t _{ \text{max}} = 23.4$

now plug in the maximum t to the function:

$\rm \displaystyle h(23.4)- 4.9 {(23.4)}^{2} + 229(23.4)+ 346$

simplify:

$\rm \displaystyle h(23.4) = 3021.6$

hence,

about <u>3</u><u>0</u><u>2</u><u>1</u><u>.</u><u>6</u><u> </u>meters high above sea-level the rocket gets at its peak?

5 0

2 years ago

Can someone please help me ASAP

laiz [17]

Answer:

42 degrees

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

What is the slope of a line that goes through the points 1,-5 and -3,2? I'm helping my niece

a_sh-v [17]

M = (y2 - y1)/(x2-x1)
= 2+5/-3-1
= 7/-4
= -7/4

4 0

3 years ago

4 more than the difference of 12 and a number j

Bezzdna [24]

The algebraic expression for the mathematical statement given as 4 more than the difference of 12 and a number j is 4 + 12 - j

<h3>How to determine the arithmetic expression?</h3>

The mathematical statement is given as:

4 more than the difference of 12 and a number j

4 more than means 4 +.

So, we have:

4 + the difference of 12 and a number j

the difference of 12 and a number j means 12 - j

So, we have

4 + 12 - j

Hence, the algebraic expression for the mathematical statement given as 4 more than the difference of 12 and a number j is 4 + 12 - j

Read more about algebraic expression at

brainly.com/question/4344214

#SPJ1

7 0

2 years ago