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3 years ago

What is the solution of the proportion 3/16=9/y

Mathematics

2 answers:

nekit [7.7K]3 years ago

6 0

Answer:

y=48

Step-by-step explanation:

multiply 16 by 3 to get 48

Ksenya-84 [330]3 years ago

3 0

Answer:

9/48

Step-by-step explanation:

3 to 9 is x3

so 16 to y has to be 16x3 = 48

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The height (feet) of an object moving vertically is given by s= (-16t^2)+(208t)+(156), where t is in seconds.

OverLord2011 [107]

Answer:

The object's velocity at t = 7 is -16 ft/s

The maximum height is 832 ft and it occurs when $t=\frac{13}{2}$

Step-by-step explanation:

From the information given, the equation of motion of the object is

$s(t)= -16t^2+208t+156$

For any equation of motion s(t), the instantaneous velocity at time t is given by

$v(t)=\frac{ds}{dt}$

(a) To find the object's velocity at t = 7, you must:

$v(t)=\frac{d}{dt}(-16t^2+208t+156)\\\\v(t)=-\frac{d}{dt}\left(16t^2\right)+\frac{d}{dt}\left(208t\right)+\frac{d}{dt}\left(156\right)\\\\v(t)=-32t+208+0\\\\v(t)=-32t+208$

Next, we evaluate when t = 7

$v(7)=-32(7)+208=-224+208\\\\v(7)=-16$

The object's velocity at t = 7 is -16 ft/s

(b) To find the maximum of a function we always use the derivative of the function and we set it equal zero to find the critical points.

To find the maximum height and when it occurs, we set the velocity function equal to 0 and solve for t.

$-32t+208=0\\\\-32t+208-208=0-208\\\\-32t=-208\\\\\frac{-32t}{-32}=\frac{-208}{-32}\\\\t=\frac{13}{2}$

Next, we substitute this value into the equation of motion to find the maximum height

$s(\frac{13}{2})= -16(\frac{13}{2})^2+208(\frac{13}{2})+156\\\\s(\frac{13}{2})=-676+1352+156)=832$

The maximum height is 832 ft and it occurs when $t=\frac{13}{2}$

6 0

3 years ago

What would the graph of Х/4.8 < 1.25 look like?

Rina8888 [55]

Answer:

Step-by-step explanation:

x/4.8 < 1.25 Multiply both sides by 4.8

4.8 x / 4.8 < 1.25*4/8

x < 6

What this means is that every every number less than 6 is a solution to this inequality.

Graph 32 (shown below is a red area. The important thing to note is that the boundary at 6 is dotted which means it is not included in the solution.

What you want is more closely related to a number line and sort of looks like this

-----o-----o-----o-----o-----o-----o-----o-----o

-1 0 1 2 3 4 5 6

<===============================o

Explanation

The top line is the actual number line or the graph

o------- is the way it is made.

The second line are the number divisions of the number line

The third line shows which way the inequality goes and that it is open at 6. Open means that you can get close to 6 but you can't touch 6.

5 0

3 years ago

Sharon bought 6 new folders for $0.75 each and 15 pens that were priced at 5 for $1.45. What is the total amount she spent?

Alja [10]

5.95 for everything 4.5 add 1.45

5 0

3 years ago

Is 1.875 a terminating decimal

vampirchik [111]

Answer:

Because they are fractions, any rational number can also be expressed in decimal form. Any rational number can be represented as either: a terminating decimal: 158=1.875 15 8 = 1.875 , or. a repeating decimal: 411=0.36363636⋯=0.

Step-by-step explanation:

Terminating decimals are those numbers which come to an end after few repetitions after decimal point. Example: 0.5, 2.456, 123.456, etc. are all examples of terminating decimals.

I tried my best on explaining, sorry if it didn't help.

5 0

3 years ago

Please please please help me I need it asap! Please!!

RSB [31]

Answer:

D) I’m 100% sure it’s correct!

Step-by-step explanation:

4 0

3 years ago