A spherical boulder is 14 ft in diameter and weighs almost 6 tons. Find the volume. Use 3.14 for pi.

write the given equation into vertex form and sketch the graph. Determine the domain and range f(x)=3x^2-6+2 plss help

LuckyWell [14K]

Answer: the range would thus be [-3, 1/3].)

Step-by-step explanation:

1. To sketch the function f(x) = (2/3)x - 3, we first need to find two points that we can later join to sketch the line, for example the x- and y-intercepts.

a) The x-intercept occurs when f(x) = 0, so if f(x) = 0, then:

f(x) = (2/3)x - 3

0 = (2/3)x - 3

3 = (2/3)x (Add three to both sides)

3*(3/2) = x (Multiply both sides by 3/2)

9/2 = x

We have now found the x-intercept at (9/2, 0)

b) The y-intercept occurs when x = 0, so:

f(x) = (2/3)x - 3

f(0) = (2/3)*0 - 3

f(0) = -3

Now we know that the y-intercept is at (0, -3)

c) All that's left is to sketch the graph axes and label them, plot the two points, join them together using a ruler and label their coordinates.

2. The Domain is the range of x-values for which the function exists, and the Range is the range of y-values for which the function exists.

Since there haven't been any constraints specified, we can say that both the Domain and Range are (-∞, ∞), since the graph continues forever both along the x- and y-axis.

(Note that this isn't always the case and would change if, for example, the question stipulated that there was a domain of [0, 5] and you had to find the range. Then, you would calculate the value of y at each end of the domain (if x = 0, y = -3 and if x = 5, y = 1/3) - in my example, the range would thus be [-3, 1/3].)

4 0

3 years ago

Are 27/4 and 32/3 equivalent fractions?

Blababa [14]

Answer:

no

Step-by-step explanation:

27/4 = 54/8 = 81/12 = 108/16

= 135/20 = 162/24 = 189/28 = 216/32

= 243/36 = 270/40 = 297/44 = 324/48

= 351/52 = 378/56 = 405/60 = 432/64

= 459/68 = 486/72 = 513/76 = 540/80

= 567/84 = 594/88 = 621/92 = 648/96

= 675/100 = 702/104 = 729/108 = 756/112

= 783/116 = 810/120 = 837/124 = 864/128

= 891/132 = 918/136 = 945/140 = 972/144

= 999/148 = 1026/152 = 1053/156 = 1080/160

= 1107/164 = 1134/168 = 1161/172 = 1188/176

= 1215/180 = 1242/184 = 1269/188 = 1296/192

= 1323/196 = 1350/200 = 1377/204 = 1404/208

= 1431/212 = 1458/216 = 1485/220 = 1512/224

= 1539/228 = 1566/232 = 1593/236 = 1620/240

= 1647/244 = 1674/248 = 1701/252 = 1728/256

= 1755/260 = 1782/264 = 1809/268 = 1836/272

= 1863/276 = 1890/280 = 1917/284 = 1944/288

= 1971/292 = 1998/296 = 2025/300 = 2052/304

= 2079/308 = 2106/312 = 2133/316 = 2160/320

= 2187/324 = 2214/328 = 2241/332 = 2268/336

= 2295/340 = 2322/344 = 2349/348 = 2376/352

= 2403/356 = 2430/360 = 2457/364 = 2484/368

= 2511/372 = 2538/376 = 2565/380 = 2592/384

= 2619/388 = 2646/392 = 2673/396 = 2700/400

8 0

2 years ago

Read 2 more answers

A man drove his car at 80km per hr for 1 and a quarter hrs .He rested for 45mins and then covered 240km, at the same time. Calcu

prisoha [69]

Answer:

Probably 128 km/h, but maybe 98.5 km/h. See below.

Step-by-step explanation:

What does "at the same time" mean?

If it means that he covered the 240 km in the same time as he convered the 80 km, then this is how you solve it:

80 km in 1.25 hour

240 km in 1.25 hour

Total distance: 80 km + 240 km = 320 km

Total time: 1.25 hour + 1.25 hour = 2.5 hour

average speed = (total distance)/(total time) = 320 km / 2.5 hour = 128 km/h

If it means he covered the 240 km in the same time he covered the 80 km plus the rest, then this is how you solve it:

80 km in 1.25 hour

240 km in 1.25 hour + 45 min = 240 km in 1.25 houir + 0.75 hour = 240 km in 2 hour

Total distance: 80 km + 240 km = 320 km

Total time: 1.25 hour + 2 hour = 3.25 hour

average speed = (total distance)/(total time) = 320 km / 3.25 hour = 98.5 km/h

3 0

3 years ago

What is 6 2/5 - 4 1/3

DaniilM [7]

Answer:

31/15 or 2 1/15

Step-by-step explanation:

The common denominator is 15. Convert both to an improper fraction and simplify.

3 0

2 years ago

Read 2 more answers

Which expression is equivalent to this expression?<br><br> 3/4 (4h – 6)

sergij07 [2.7K]

Answer:
3h-9/2
Step-by-step explanation:
3/4(4h-6)=3h-18/4
simplify
3h-9/2

7 0

3 years ago