For the first 4 years of a pig's life, the weight w (in kilograms) of the pig approximately fits the formula w(t) = 2 +14t, where t is the age of the pig in years.Which of the following is the most accurate interpretation of the slope of the line represented by this formula?.A. The slope is 14. This means that the pig gains a total of 14 kilograms in the first 4 years of its life.
B. The slope is 2. This means that the pig gains on average 2 kilograms per year for the first 4 years of its life.
C. The slope is 14. This means that the pig gains on average 14 kilograms per year for the first 4 years of its life.
D. The slope is 2. This means that the pig gains a total of 2 kilograms in the first 4 years of its life.

Answers

Answer 1

Answer: C. the slope is the coefficient of the variable and you have given that it describes the growth for 4 years.

Answer 2

Answer: i think the answer is B.

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A number, n, is added to 15 less than 3 times itself. The result is 101. Which of the following can be an equation can be used to find the value of n?a.n + (3n - 15) = 101
b.4n - 15 = 101

Answers

Answer:

Option a and b both are correct.

Step-by-step explanation:

We have been given the information that is: n is added to 15 less than 3 times itself.

The result is 101.

So, the number is 15 less than 3 times to itself means: 3n-15

And n is added to it that means:

n+(3n-15)

And its result is 101 so,

n+(3n-15)=101

After simplification of above expression gives:

4n-15=101.

Therefore, Option a and b both are correct.

The circumference of a circle is 19π in. What is the area, in square inches? Express your answer in terms of π.

Answers

Answer:

A = 90.25 pi in^2

Step-by-step explanation:

The circumference is given by

C = 2*pi*r

19pi = 2*pi*r

Divide each side by 2 pi

19pi / 2 pi = 2*pi*r/ 2pi

9.5 = r

The area is given by

A = pi r^2

A = pi ( 9.5)^2

A = 90.25 pi in^2

Answer:

The area of circle is 90.25 π inches².

Step-by-step explanation:

Given:-

Circumference of circle is 19 π in.

To Find :-

Area of circle

Solution :-

Firstly, we need to find radius of circle

Using formula

Circumference of circle = 2 π r

substitute the value

19 π inches = 2 π r

Divide each side by 2 π

19 π inches / 2 π = 2 π r / 2 π

9.5 inches = r

Now, Finding the area of circle

Using formula

Area of circle = π × r²

Where,

r, radius of circle = 9.5 inches

Substitute the values

Area of circle = π × ( 9.5 inches)²

Evaluate the exponent

Area of circle = π × 90.25 inches ²

multiply ,we get

Area of circle = 90.25 inches²

Hence, the area of circle is 90.25 π inches².

In the xy-plane, triangular region R is bounded by the lines x=0, y=0, and 4x+3y=60. Which of the following points lie inside region R?a. (2, 18)
b. (5, 12)
c. (10, 7)
d. (12, 3)
e. (15, 2)

Answers

Convert the equation of the line to the slope-intercept form:
$4x+3y=60 \n3y=-4x+60 \ny=-(4)/(3)x+20$

All points which lie inside region R satisfy the system of inequalities:
$x\ \textgreater \ 0 \ny\ \textgreater \ 0 \ny\ \textless \ -(4)/(3)x+20$

You can see all coordinates in your choices are positive, so the first two inequalities are satisfied. We must check which points satisfy the third inequality.
Plug the values (x,y) into the inequality and check:
$(2,18) \n18 \ \textless \ -(4)/(3) * 2+20 \n18 \ \textless \ -(8)/(3)+20 \n18\ \textless \ -2(2)/(3)+20 \n18\ \textless \ 17 (1)/(3) \nfalse \n \n(5,12) \n12\ \textless \ -(4)/(3) * 5+20 \n12\ \textless \ -(20)/(3)+20 \n12\ \textless \ -6(2)/(3)+20 \n12\ \textless \ 13 (1)/(3) \ntrue$

$(10,7) \n7 \ \textless \ -(4)/(3) * 10+20 \n7\ \textless \ -(40)/(3)+20 \n7\ \textless \ -13 (1)/(3)+20 \n7\ \textless \ 6 (2)/(3) \nfalse \n \n(12,3) \n3\ \textless \ -(4)/(3) * 12+20 \n3\ \textless \ -(48)/(3)+20 \n3\ \textless \ -16+20 \n3\ \textless \ 4 \ntrue$

$(15,2) \n2 \ \textless \ -(4)/(3) * 15+20 \n2\ \textless \ -(60)/(3)+20 \n2\ \textless \ -20+20 \n2\ \textless \ 0 \nfalse$

The answer is B and D.

find the zeros of the polynomial x square-3 and verify the reationship between the zeros and the coefficient.

Answers

Answer:

√3, and -√3

Step-by-step explanation:

to find the zeros or roots of the polinomial x²-3 make it equal to zero and solve for x

x²-3=0 add 3 to both sides to isolate x

x² = 3 squareroot both sides

√x²= √3

x= ±√3 are the two zeros

1) Use the rules of exponents to evaluate or simplify. Write without negative exponents.3*4^0 = ____

2) Use the rules of exponents to evaluate or simplify. Write without negative exponents.
1 / 4^-2 = ____

Answers

$1)\n 3*4^0=3*1=3\n\n 2)\n a^{-b=((1)/(a))^b}}\n (1)/(4^(-2))=(1)/(((1)/(4))^2)=(1)/((1)/(16))=1*(16)/(1)=16$

Find the quotient -88, 11

Answers

The quotient is 8 because 11*8 is 88

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