Answer:
4/3
Step-by-step explanation:
Answer:
(2x/3) - 4
Step-by-step explanation:
"twice a number" ---> 2x
"quotient of twice a number and 3" ---> 2x/3
"4 less than" --> (2x/3) - 4
Could also be written as (2/3)x - 4
Answer:
900
Step-by-step explanation:
Might wanna double check. I rushed
(7m-2m^2n)^2
-42+144
900
Answer:
1. 38kg=84lbs.
2. 6 oz.=170 g.
3. 180 gallons= 680 L
4. 29 cubic meters=1024 cubic feet
Step-by-step explanation:
<h3>Lin has a pet German Shepherd that weighs 38 when measured in one unit and 84 when measured in a different unit. Which measurement is in pounds, and which is in kilograms?</h3>
1 kg≈2.20462262lbs.
2.20462262x38≈83.7756596(pounds)
<h3>Elena has a pet parakeet that weighs 6 when measured in one unit and 170 when measured in a different unit. Which measurement is in ounces, and which is in grams?</h3>
1 oz.≈28.3495231 g.
28.3495231x6=170.097139(grams)
<h3>Behind Lin’s house, there is a kiddie pool that holds 180 or 680 units of water, depending on which unit you are using to measure. Which measurement is in gallons, and which is in liters?</h3>
1 gallon≈3.78541178 liters
3.78541178x180≈681.37412(liters)
<h3>Behind Elena’s house there is a portable storage container that holds 29 or 1024 units, depending on which unit you are using to measure. Which measurement is in cubic feet, and which is in cubic meters?</h3>
1 cubic meter≈35.3146667 cubic feet
35.3146667x29≈1024.12533 cubic feet
Hope I helped :)
(i) Velocity is the rate of change of position, so if
<em>r</em><em>(t)</em> = <em>b</em> cos(<em>ω t </em>) <em>i</em> + <em>b</em> sin(<em>ω t </em>) <em>j</em> + <em>v</em> <em>t</em> <em>k</em>
then
<em>v</em><em>(t)</em> = d<em>r</em>/d<em>t</em>
<em>v</em><em>(t)</em> = -<em>b</em> <em>ω </em>sin(<em>ω t</em> ) <em>i</em> + <em>b</em> <em>ω</em> cos(<em>ω</em> <em>t</em> ) <em>j</em> + <em>v</em> <em>k</em>
The speed of the particle is the magnitude of the velocity, given by
|| <em>v</em><em>(t)</em> || = √[(-<em>b</em> <em>ω </em>sin(<em>ω t</em> ))² + (<em>b</em> <em>ω</em> cos(<em>ω</em> <em>t</em> ))² + <em>v</em> ²]
… = √[<em>b </em>²<em>ω </em>² + <em>v</em> ²]
(ii) The path is a helix. Suppose you zero out the <em>k</em> component. Then the path is a circle of radius <em>b</em>, and the value of <em>ω</em> determines how quickly a particle on the path traverses the circle. Now if you reintroduce the <em>k</em> component, the value of <em>v</em> will determine how far from the plane <em>z</em> = 0 the particle moves in a helical path as <em>t</em> varies.
(iii) Acceleration is the rate of change of velocity, so
<em>a</em><em>(t)</em> = d<em>v</em>/d<em>t</em>
<em>a</em><em>(t)</em> = -<em>b</em> <em>ω </em>²<em> </em>cos(<em>ω t</em> ) <em>i</em> - <em>b</em> <em>ω</em> ² sin(<em>ω</em> <em>t</em> ) <em>j</em>