Which solution matches both equations ?

Answers

Answer 1

Answer: I believe the answer is C I’m really sorry if it’s wrong.

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Subtraction fractions 2/3 - 1/5

Answers

Answer:

7/15

Step-by-step explanation:

Find a common denominator, in this case it will be 15

2/3 - 1/5

10/15 - 3/15

7/15

Answer:

7/15

Step-by-step explanation:

_ multiply 2 × 5 = 10

_ multiply 3 × 1 = 3

then find the common denominator which 15

3: 3,9,12,15

5,5,10,15,20

_ multiply 2 × 5 = 10

_ multiply 3 × 1 = 3

then subtract the fractions

_ < -

The owner of the Rancho Grande has 3020 yd of fencing with which to enclose a rectangular piece of grazing land situated along the straight portion of a river. If fencing is not required along the river, what are the dimensions of the largest area he can enclose?shorter side yd
longer side yd

What is this area?
yd2

Answers

Answer:

Shorter side = 755 yd

longer side = 1510 yd

A(max) = 1140050 yd²

Step-by-step explanation:

The owner has 3020 yd of fencing

Lets assume:

x the shorter side of the rectangle ( we will use fencing in two sides of length x )

y the longer one

A area of the rectangle and P the perimeter of the rectangle ( we have only three sides covered by fencing material)

We have: A = x * y P = 2 * x + y ⇒ y = P - 2*x ⇒ y = 3020 - 2* x

A (x) = x * ( 3020 - 2*x) ⇒ A(x) = 3020 * x - 2* x²

Taken derivative

A´(x) = 3020 - 4 * x

If A´(x) = 0 3020 -4*x = 0 ⇒4*x = 3020 x = 755 yd

If we take second derivative A´´(x) = -4

so A´´(x) < 0 so there is a maximun in point x = 755

Then

Rectangle dimensions :

x = 755 yd ⇒ y = 3020 - 2 * x ⇒ y = 3020 - 2 * (755) y = 1510 yd

Maximum area is : A(max) = 1510 * 755 ⇒ A(max) = 1140050 yd²

Final answer:

To get the largest area, 3020 yards of fencing is divided equally to form a rectangular grazing piece. Each side is 1510 yards, leading to a total area of 2,280,100 square yards.

Explanation:

We are given a total of 3020 yards of fencing which is used to fence two sides of a rectangle, with a river enclosing the third side. The largest area of a rectangle is obtained when the rectangle is a square. However, since one of the sides is the river, and hence not fenced, the rectangle is not square but should be as close to a square as possible to give the maximum area.

The optimum distribution is dividing the fence into two equal parts for both sides of the rectangle, so each side will be 3020 / 2 = 1510 yds. The dimensions of the largest area he can enclose are: shorter side = yd, longer side = 1510 yds.

The area of this rectangular grazing land would then be 1510 yd * 1510 yd = 2,280,100 yd2.

Learn more about Maximum Area here:

brainly.com/question/16213025

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If the discriminant of a quadratic equation is 4, which statement describes the roots?

Answers

Answer:

Step-by-step explanation:

I. If discriminant >0 then the quadratic equation has the roots x1 and x2 and

a) x1 and x2 are real numbers

b) x1≠x2

II. If discriminant =0 , then x1=x2 and is a real number

III. If discriminant < 0 the equation has complex roots , x1=a+bi ,

x2=a-bi , where i=V-1

Answer: B. There are 2 real roots.

Step-by-step explanation:

Edge 2023

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 9x? – 36X?The graph of f(x) = x2 is widened.
The graph of f(x) = x2 is shifted right 4 units.
The graph of f(x) = x? is shifted down 36 units.
The graph of f(x) = x2 is reflected over the x-axis.

Answers

Answer: C. The graph of f(x)= x2 is shifted down 36 units

Step-by-step explanation:

Answer:

it's c

Step-by-step explanation:

In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time college students who earn a bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.02 margin of error and use a confidence level of 99%. Complete parts (a) through (c) below.a. Assume that nothing is known about the percentage to be estimated.n = ________b. Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less.n = _______c. Does the added knowledge in part (b) have much of an effect on the sample size?

Answers

Answer:

(a) The sample size required is 2401.

(b) The sample size required is 2377.

Step-by-step explanation:

The confidence interval for population proportion p is:

$CI=\hat p\pm z_(\alpha/2)\sqrt{(\hatp(1-\hat p))/(n)}$

The margin of error in this interval is:

$MOE=z_(\alpha/2)\sqrt{(\hatp(1-\hat p))/(n)}$

The information provided is:

MOE = 0.02

$z_(\alpha/2)=z_(0.05/2)=z_(0.025)=1.96$

(a)

Assume that the proportion value is 0.50.

Compute the value of n as follows:

$MOE=z_(\alpha/2)\sqrt{(\hat p(1-\hat p))/(n)}\n0.02=1.96* \sqrt{(0.50(1-0.50))/(n)}\nn=(1.96^(2)*0.50(1-0.50))/(0.02^(2))\n=2401$

Thus, the sample size required is 2401.

(b)

Given that the proportion value is 0.55.

Compute the value of n as follows:

$MOE=z_(\alpha/2)\sqrt{(\hat p(1-\hat p))/(n)}\n0.02=1.96* \sqrt{(0.55(1-0.55))/(n)}\nn=(1.96^(2)*0.55(1-0.55))/(0.02^(2))\n=2376.99\n\approx2377$

Thus, the sample size required is 2377.

(c)

On increasing the proportion value the sample size decreased.

20 Points! Answer ASAP! Which statement is true about angles 1 and 2? (image below)A. They are adjacent angles
B. They are complementary angles
C. They are supplementary angles.
D. They are vertical angles.

Answers

Answer:

A. They are adjacent angles

Step-by-step explanation:

Angles 1 and 2 are next to each other, that makes them adjacent angles

A They are adjacent angles (next to each other and share a side) True

B. They are complementary angles (add to 90 degrees) False- Angle 2 is 90 degrees)

C. They are supplementary angles. (add to 180) False, they do not form a straight line

D. They are vertical angles. (opposite angles) False, they are not made by intersecting lines

Answer:

The answer is adjacent angles:)

Step-by-step explanation:

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