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melomori [17]
3 years ago
8

The number of cows a farmer has on his farm over several years can be modeled by an arithmetic sequence. During the 2nd, 5th, an

d 7th years, he has 30, 39, and 45 cows, respectively. How many cows did the farmer have in his first year on the farm?
Mathematics
1 answer:
Leni [432]3 years ago
8 0

Answer: im not sure

Step-by-step explanation:

i have that same problem and its due in ten min :( sorry

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What is the Slope of the line
vampirchik [111]

Answer:

m=\frac{-3}{4}

Step-by-step explanation:

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Simply plug in 2 coordinates into the slope formula to find slope <em>m</em>:

m=\frac{-4-(-1)}{5-1}

m=\frac{-4+1}{4}

m=\frac{-3}{4}

5 0
2 years ago
Solving these quadratics for x using complete the square 3x^2-4x-1=0. Show your work.
UkoKoshka [18]
Answer: x = (sqrt(7) + 2)/3 and
x = ( – sqrt(7) + 2)/3

Explanation:

3x^2 - 4x - 1 = 0

Divide both sides by 3:

3x^2/3 - 4/3x - 1/3 = 0/3
x^2 - 4/3x - 1/3 = 0
x^2 - 4/3x = 1/3
x^2 - 4/3x + (2/3)^2 = 1/3 + (2/3)^2
(x - 2/3)^2 = 1/3 + 4/9
(x - 2/3)^2 = 7/9

Sqrt both sides:

x - 2/3 = sqrt (7/9)
x - 2/3 = |sqrt(7)/3|

Set x -2/3 = sqrt(7)/3

=> x = (sqrt(7) + 2)/3

Set x - 2/3 = - sqrt(7)/3

=> x = ( - sqrt(7) + 2)/3
6 0
3 years ago
A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 505π ft3,
Romashka-Z-Leto [24]

Answer:

radius   x  = 3 ft

height   h = 23,8  ft

Step-by-step explanation:

From problem statement

V(t)  = V(cylinder) + V(hemisphere)

let x be radius of base of cylinder (at the same time radius of the hemisphere)

and h the height of the cylinder, then:

V(c)  = π*x²*h       area of cylinder = area of base + lateral area

                                              A(c)  = π*x²  +   2*π*x*h

V(h) = (2/3)*π*x³   area of hemisphere   A(h)  =   (2/3)*π*x²

A(t)  =  π*x²  +   2*π*x*h +   (2/3)*π*x²

Now A as fuction of x    

total volume   505  = π*x²*h  +  (2/3)*π*x³

h = [505 - (2/3)* π*x³ ]  /2* π*x    

Now we have the expression for A as function of x

A(x) =  3π*x² + 2π*x*h     A(x) = 3π*x² + 505  - (2/3)π*x³

Taking derivatives both sides

A´(x) =  6πx -  2πx²              A´(x) =  0         6x  - 2x²  = 0

x₁  =  0  we dismiss

6 - 2x = 0

x = 3     and   h = [505 - (2/3)* π*x³]/2* π*x

h  =  (505 - 18.84) / 6.28*3

h  = 23,8  ft

7 0
3 years ago
Convert the following fractions into decimals
Masteriza [31]
Um what’s the fraction
5 0
3 years ago
Write the converse, inverse, and contrapositive of the following conditional statement
djverab [1.8K]

Answer:

using implication

Step-by-step explanation:

let "if I go to college be (A)" and "I will get a better job be (B)"

therefore A implies B

(A ----------------> B)

If I go to college then I will get a better job.

3 0
3 years ago
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