MATHEMATICS COLLEGE

Omg help me giving brainlyest!! plus 30 points

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Answer 2

Answer:

Answer:

Step-by-step explanation:

You have to use PEMDAS

first p, parenthesis

12-2=10

then e exponenets 3^3=9

and finally d diviison /2

so 9(10) : 2

=90/2

=45

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2 to the Third power -(30÷5) +9

Answers

Answer:

Step-by-step explanation:

2^3-(30/5)+9

First, you divide 30/5 because it is in parentheses and we are following this rule for order of operations:

P- parentheses

E- exponents

M- multiplication

D- division

A- addition

S- subtraction

so 30/5 = 6 and plugged in is:

2^3-(6)+9

Next, we do exponents:

2^3 = 2x2x2 = 8

plugged back in:

8-(6)+9

Now, we do the math from left to right so:

8-6=2

2+9=11

11 is your answer

Product of 6 and 6r and the product of 8s and 4

Answers

The product of the numbers are 36r and 32s.

What is product?

When we multiply two numbers the resultant is called their product.

Given that, what can be the products of 6 and 6r and 8s and 4

a) 6 and 6r =

We can write it as =

6 x 6 x r

now multiply the numeric parts,

36 x r

= 36r

Similarly,

b) 8s and 4 =

We can write it as,

8 x s x 4

= 8 x 4 x s

now multiply the numeric parts,

= 32 x s

= 32s

Hence, the products are 36r and 32s.

Learn more about products, click;

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Product tells us we’re going to multiply.

6 x 6r = 36r

8s x 4 = 32s

We don’t have a number value to substitute in for r or s, so we just leave those variables as they are.

LMK if you have questions

If the garden is to be 1250 square feet, and the fence along the driveway costs $6 per foot while on the other three sides it costs only $2 per foot, find the dimensions that will minimize the cost.

Answers

So, the minimum cost is $400.

Area of the rectangle:

The area of a rectangle is the region occupied by a rectangle within its four sides or boundaries.

And the formula is,

$A=l* b$

Given that,

Area of the garden=1250 square feet.

Let, the length be $x$ and the breadth be $y$ then,

$xy=1250...(1)$

The total cost of the fence is,

$C(x,y)=6x+2x+4y\nC(x,y)=8x+4y\nC(x)=8x+4((1250)/(x) )\n$

Now, differentiating the obtained equation we get,

$C'(x)=8-(4* 1250)/(x^2) =0\nx^2=625\nx=25\ny=50$

Therefore the length is 25 ft

And breadth is 50ft

Now, calculating the minimum cost,

$8(25)+4(50)=50\n=400$

Learn more about the area of the rectangle:

brainly.com/question/1037253

Answer:

Dimensions of rectangular garden:

x = 25 feet ( sides along the driveway)

y = 50 feet

Step-by-step explanation:

Rectangular area is:

A(r) = x*y (1)

if we call x one the driveway side the cost of that side will be

6*x

The cost of the other side parallel to driveway side is 2*x and cost of the others two sides are 4*y

Total costs: C = 6*x + 2*x * 4*y (2)

From equation (1)

A(r) = 1250 = x*y ⇒⇒ y = 1250/ x

Plugging that value in equation (2) we get costs as a function of x

that is:

C(x) = 6*x + 2*x + 4* 1250/x

Taking derivatives on both sides of the equation

C´(x) = 6 + 2 - 5000/x²

C´(x) = 8 - 5000 /x²

C´(x) = 0 ⇒ 8 - 5000 /x² = 0

8*x² -5000 = 0

x² = 5000/8

x² = 625

x = 25 feet

and y = 1250/ 25

y = 50 ft

C(min) = 50*2*2 + 6*25 + 2*25

C(min) = 200 + 200

C(min) = 400 $

In this equation what do i have to change to make x equal 0 instead of 1/4
2√x+4-2=3

Answers

To solve for x:
- add 2 to both sides
2/x+4=5
- subtract 4 from both sides
2/x=1
- divide both sides by 2
/x= 1/2
- square both sides
x = 1/4

(- 5x + 5) + (- 7x + 9) = 90 degrees

Answers

X=-19/3
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Answer:

$x = ( - 19)/(3)$

Step-by-step explanation:

$( - 5x + 5) + ( - 7x + 9) = 90$

$= > 5 - 5x - 7x + 9 = 90$

$= > 14 - 12x = 90$

$= > - 12x = 90 - 14$

$= > - 12x = 76$

$= > x = (76)/( - 12) = ( - 19)/(3)$

D(n)=8−6(n−1) What’s the 6th term

Answers

D(n)=8−6(n−1). The 6th term is found by subbing 6 for n in this formula:

D(6)=8−6(6−1) = 8 - 6(5) = 8 - 30 = -22 (answer)