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2 years ago

Which situation has a unit rate of 4?

Mathematics

1 answer:

Mkey [24]2 years ago

4 0

Answer:

The answer is C

Step-by-step explanation:

C. A gardener harvested 20 tomatoes from 5 plants.

20tomatoes/5plants=4

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The position equation for a particle is s of t equals the square root of the quantity t cubed plus 1 where s is measured in feet

vladimir1956 [14]

$\bf s(t)=\sqrt{t^3+1}
\\\\\\
\cfrac{ds}{dt}=\cfrac{1}{2}(t^3+1)^{-\frac{1}{2}}\cdot 3t^2\implies \boxed{\cfrac{ds}{dt}=\cfrac{3t^2}{2\sqrt{t^3+1}}}\leftarrow v(t)
\\\\\\
\cfrac{d^2s}{dt^2}=\cfrac{6t(2\sqrt{t^3+1})-3t^2\left( \frac{3t^2}{\sqrt{t^3+1}} \right)}{(2\sqrt{t^3+1})^2}\implies 
\cfrac{d^2s}{dt^2}=\cfrac{ \frac{6t(2\sqrt{t^3+1})-1}{\sqrt{t^3+1}} }{4(t^3+1)}$

$\bf \cfrac{d^2s}{dt^2}=\cfrac{6t[2(t^3+1)]-1}{4(t^3+1)\sqrt{t^3+1}}\implies 
\boxed{\cfrac{d^2s}{dt^2}=\cfrac{12t^4+12t-1}{4t^3+4\sqrt{t^3+1}}}\leftarrow a(t)\\\\
-------------------------------\\\\a(2)=\cfrac{215~ft^2}{44~sec}$

8 0

3 years ago

Read 2 more answers

Plz help me get the answer right

Jobisdone [24]

Three of the points that are on the graph are

(-1.38,2.05)= y=11+5x/2
(0,5.5)= y-intercept, (0,11/2)
(-2.2,0)= x-intercept, (-11/5,0)

8 0

3 years ago

A prime number less than 100 is selected randomly. what is the probability that its square has units digit $7$?

liberstina [14]

Any number ends with 0, 1, 2, 3, 4, 5, 6, 7, 8 or 9

Given any number. The square of this number is the last digit of square of the original numbers units digit.

For example

23*23 ends with 9 (3*3=9)

149*149 ends with 1 (9*9=81)

2564*2564 ends with 6 (4*4=16)

and so on

so all the possible unit digits of a square number are {0, 1, 4, 5, 6, 9}

because:

0*0= 0 ; 1*1=1; 2*2=4; 3*3=9; 4*4=16; 5*5=25, 6*6=36; 7*7=49; 8*8=64, 9*9=81

Thus, the probability that the square of a number selected from any set of numbers being 7, is 0.

Answer: 0

4 0

2 years ago

2x+3y=1, -x+2y=-4 solve using substitution method

ollegr [7]

Step-by-step explanation:

1) 2x+3y-3y=1-3y. -x+2y= -4

2x/2=1-3y/2. -(1-3y/2)=-4

x=1-3y/2. -1+3y/2= -4

x=1-3(-2)/2 3y/2= -4+1

x=1+6/2 3y/2×2/3= -3×2/3

x=7/2 y= -2

S.s{ 7/3,-2}

2). -4x-6y+6y=7-6y. 4x+y= -2

-4x/-4=7-6y/-4. 4(-7-6y/4)+y= -2

x= -7-6y/4. -7-6y+y = -2

x= -7-6/4 -5y/5= 5/5

x=-13/4 y= 1

S.s { -13/4, 1 }

8 0

2 years ago

Blake has a collectors' card that he bought for $42.00. The card is now worth $87.00. What is the percent of change in the value

Stels [109]

Change in value = 87 - 42 = 45
percentage change = 45/42 x 100 = 107%

6 0

3 years ago