What is the value of the following
expression when d=2?

3d + (2.d)-4

Answer:

gay

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are several things we need to know to solve this: the perimeter formula of a rectangle, the area formula of a rectangle, and how to complete the square to find the answer. First of all, if the farmer has 148 feet of fencing to enclose 3 sides of a rectangle, the perimeter formula we need will include only 3 sides, the 2 widths and the 1 length:

P = 2w + l; solving for l and filling in our length of fencing gives us:

l = 148 - 2w

The area then for this will be:

A = (148 - 2w)(w) which is the same thing as length times width (area for a rectangle). Multiplying that out gives us:

[tex]A=148w-2w^2[/tex]. Let's rearrange that and put it into descending order so we can complete the square on it:

[tex]A=-2w^2+148w[/tex]

The reason we want to complete the square is because the answer that results from that will give us the dimensions of the rectangle (the width and the length) and also the area. Completing the square maximizes (or minimizes) area.

To complete the square, first factor out the -2 since the leading coefficient when you complete the square has to be a +1. When we do that we get:

[tex]A=-2(w^2-74w)[/tex]. Set it equal to 0 so we can factor it:

[tex]-2(w^2-74w)=0[/tex]

The idea now is to take half the linear term (the term stuck to the w), divide it in half, then square that number. Our linear term is 74. Half of 74 is 37, and 37 squared is 1369. So we add 1369 to both sides, the left side first:

[tex]-2(w^2-74w+1369)=...[/tex]

But we didn't just add in 1369. There's a -2 out front there that refuses to be ignored. It's a multiplier. What we ACTUALLY added in was -2 times 1369 which is -2738; therefore:

[tex]-2(w^w-74w+1369)=-2738[/tex]

The left side can be simplified down to a perfect square binomial:

[tex]-2(w-37)^2=-2738[/tex]

Now we'll add over the -2738:

[tex]-2(w-37)^2+2738=y[/tex] and from there determine our answer. The (w-37) term is the width of the rectangle; therefore, the length is 148 - 2(37) which is 74; the total area if the 2738. Completing the square gives us the vertex form of the parabola; the vertex is (37, 2738) where 37 is the width of the rectangle and 2738 is the max area.

Answer:

328 is the surface area

Step-by-step explanation:

Answer:

Its 32

Step-by-step explanation:

Answer:

The median is 6.

Step-by-step explanation:

Answer:

Step-by-step explanation:

I hope it helped you

9514 1404 393

Answer:

  sin(D) = 4/5

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation ...

  Sin = Opposite/Hypotenuse

  sin(D) = FE/DF

  sin(D) = 4/5

Answer:

A = 6

B = 6

C = 7

D = 4

Step-by-step explanation:

Answer:

We say that a function is increasing on an interval if the function values increase as the input values increase ...

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Bunny's rate downstream is ...

  (70 mi)/(5 h) = 14 mi/h = k + c

Bunny's rate upstream is ...

  (70 mi)/(7 h) = 10 mi/h = k -c

The kayak speed is the average of these:

  (14 mi/h +10 mi/h)/2 = ((k +c) +(k -c))/2

  (24 mi/h)/2 = 2k/2

  12 mi/h = k

Then the current speed is ...

  c = k -10 = 12 -10 = 2 . . . . mi/h

The still-water speed of the kayak is 12 mi/h; the speed of the current is 2 mi/h.

_____

Additional comment

World-class kayak paddlers will not maintain a speed more than 8 mi/h for that distance and/or time (140 miles in 12 hours). Bunny is exceptional.

The sample was 10 numbers.

4 of the numbers are less than 301.

So 4 out of 10 would be defective.

4/10 = 0.4 x 100 = 40%

He would expect 40% to be defective.

Answer:

86 i think

Step-by-step explanation:

Answer: C) 1/a^12•b^8

Step-by-step explanation:

Answer:

3,268,584

Step-by-step explanation:

1^12 is 1

Answer:

The car gets 35 miles per gallons.

Step-by-step explanation:

Answer:

⟨-5, -1⟩

Step-by-step explanation:

Vector:

A vector is given by its endpoint subtracted by its initial point.

Vector u has initial point at (3, 9) and terminal point at (–7, 5)

Then

[tex]u = (-7, 5) - (3,9) = (-7 - 3, 5 - 9) = (-10,-4)[/tex]

Vector v has initial point at (1, –4) and terminal point at (6, –1).

Then

[tex]v = (6,-1) - (1,-4) = (6-1,-1-(-4)) = (5,3)[/tex]

What is u + v in component form?

[tex]u + v = (-10,-4) + (5,3) = (-10+5,-4+3) = (-5,-1)[/tex]

⟨-5, -1⟩ is the answer.

there should be a cross multiplication

3(8x)=2

expanding bracket

24x=2

multiple both sides by 24

x=1/12

9514 1404 393

Answer:

  2/3

Step-by-step explanation:

The scale factor is the ratio of corresponding dimensions:

  (6 cm)/(9 cm) = 2/3

Answer:

The top number in a fraction. Shows how many parts we have. (The bottom number is the Denominator and shows how many equal parts the item is divided into.)

Step-by-step explanation:

9514 1404 393

Answer:

  14

Step-by-step explanation:

Use the formula with n=3.

  h(3) = h(3-2) +h(3-1)

  h(3) = h(1) +h(2)

  h(3) = -6 +20 . . . . . substitute the given values

  h(3) = 14

Answer:

A

Step-by-step explanation:

We want to solve the equation:

[tex]5\sin(2x)=3\cos(x)[/tex]

To do so, we can rewrite the equation.

Recall the double-angle identity for sine:

[tex]\sin(2x)=2\sin(x)\cos(x)[/tex]

By substitution:

[tex]5\left(2\sin(x)\cos(x)\right)=3\cos(x)[/tex]

Distribute:

[tex]10\sin(x)\cos(x)=3\cos(x)[/tex]

We can subtract 3cos(x) from both sides:

[tex]10\sin(x)\cos(x)-3\cos(x)=0[/tex]

And factor:

[tex]\cos(x)\left(10\sin(x)-3\right)=0[/tex]

Hence, our answer is A.

*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0 and we cannot divide by 0. Hence, we should subtract and then factor.

Answer:

A. cosx(10sinx-3)=0

Step-by-step explanation:

5(2sinxcosx)=3cosx

10sinxcosx-3cosx=0

cosx(10sinx-3)=0

Answer:

128 :)

Step-by-step explanation:

The area of the given triangle in the figure is 64 ft.².

A triangle is one of the most elementary geometric figures with 3 edges, 3 angles, and 3 vertices. The sum of the three angles of a triangle is 360°. The area of a triangle can be found using many methods but the most basic method is to half the product of height and length of the base of the triangle.

Given that

The height of the given triangle is 16 ft. and the length of the base is 16 ft.

As it is known that the area of a triangle is defined as

[tex]Area\ of\ a\ triangle = \frac{1}{2}\times height\times base[/tex]

So,

[tex]Area\ of\ a\ triangle = \frac{1}{2}\times 8\times 16\\Area\ of\ the\ triangle = 64 ft.^2[/tex]

Thus, the area of the given triangle is 64 ft.².

Learn more about Triangles here:

https://brainly.com/question/2773823

#SPJ6

Answer:

Step-by-step explanation:

Answer:

two dollars

Step-by-step explanation:

12-8=4/2=2

The m’s would all be the same number.Another way of adding the same number to each other would be to multiply that number by the number of times you want to add it to each other.

With m + m + m you are adding it 3 times.

So instead multiply m by 3:

The answer is 3m

Answer:

In the Question the concept used is the algebra

We know that

[tex] \sf \: x \times x = {x}^{2} [/tex]

and

[tex] \sf \: x + x = 2x[/tex]

Similarly

[tex] \sf \: m + m + m = 3m[/tex]

The method is also known as property of addition in algebra

Answer:

72. If the second 3cm has some relevance, leave a note and I'll come back and modify my answer.

Step-by-step explanation:

Givens

L = 6 cm

W = 3 cm

H = 2 cm

I don't know what the extra 3 cm is for.

Formula

SA = 2*L*W + 2*L*H + 2*H*W

SA = 2*6*3 + 2*6*2 + 2*2*3

SA = 36 + 24 + 12

SA = 72

Answer:

Step-by-step explanation:

Answer:

Is 3(b+c) equivalent expressions?

A. True

Answer:

4.35 miles if rounded 4.5 miles

Step-by-step explanation:

7 divided by 1.609 sums up to 4.35052

Answer:

[tex]3x^2(5y^2-xy+25x^2)\\[/tex]

Step-by-step explanation:

[tex]15x^2y^2-3x^3y+75x^4\\\\3x^2(5y^2-xy+25x^2)\\[/tex]

3x² is the only facor with all 3 of the terms.