A mechanic alters the lighthouse to make the light rotate in such a way that is reflection travels north word along the wall at a constant rate of 100 ft./s how fast in radians per second is the beam of light rotating when the lights reflection is 100 feet north of the point on the wall that is closest to the lighthouse

Answer:

a. 8x+5

b. 7x+1

c. 14x²+6x+8

d. x²+6x+5

Answer:

Beatrice traveled the last 220 miles of the trip at 55 miles per hour. The entire trip covered 430 miles and took 7 hours. What was her rate for the first 210 mile?

Let Beatrice's average speed for the first 210 miles = S

220/55 + 210/S

Solve for S:

4 + 210/S = 7

Bring 4 + 210/S together using the common denominator S:

(2 (2 S + 105))/S = 7

Multiply both sides by S:

2 (2 S + 105) = 7 S

Expand out terms of the left hand side:

4 S + 210 = 7 S

Subtract 7 S + 210 from both sides:

-3 S = -210

Divide both sides by -3:

Answer: |S = 70 - miles per hour, her speed for the first 210 mStep-by-step explanation:

9514 1404 393

Answer:

  C.  y = x - 4

Step-by-step explanation:

We notice that values of x are consistently 4 more than the corresponding values of y. One way this can be written is ...

  x = y + 4 . . . (matches choice D)

However, we usually consider y to be the dependent variable. Rearranging this to "y = " form, we have ...

  y = x - 4 . . . matches choice C

Answer:

[tex]131=6w[/tex]

Step-by-step explanation:

[tex]l=length\\\\w=width\\\\\Longrightarrow l=2w\\\\\Rightarrow Perimeter=l+l+w+w\\\\P=2l+2w\\\\P=2(2w)+2w\\\\P=4w+2w\\\\P=6w\\\\P=131\\\\131=6w\\\\w=\frac{131}{6}\\\\w=21.8\overline{3}\\\\l=43.\overline{6}[/tex]

Answer:

A) l = 2 * w

B) 131 = 2l + 2w

B) 2l = 131 -2w

B) l = 65.5 -w

Substituting this into A)

65.5 -w = 2w

3w = 65.5

width = 21.8333333333

length = 43.6666666666

Double - Check

131 = 2 * 21.833333333 + 2 * 43.6666666666

131  = 43.6666666  + 87.33333333

131 = 131

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

D.∞

brainliest would be appreciated!

Answer:

2187 ( 3 to the 7th)

Step-by-step explanation:

3 to the 6th= 729

729 x 3 = 2187

Answer:

20

Step-by-step explanation:

2^3=8

8+12=20

I hope this helps.

Answer:

742 feet

Step-by-step explanation:

829 7/10 - 87 7/10=742

[tex]x^{2} \sqrt{x} \neq \geq \leq[/tex]Answer:

B

Step-by-step explanation:

Its so easy

Answer:Top Left

Step-by-step explanation:

Graph A represents the given inequality 3y−5x>−6. Option A is correct.

From the graphs, the graph is to choose which best describes the inequality 3y−5x>−6

Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Given inequality,

3y−5x>−6.

Since the inequality contains only greater than sign, so options B and C will be omitted because both the graphs show boundary conditions that are wrong for the given inequality.
Now, graph A and D show now boundary condition and shaded portions

3y−5x>−6

Since the inequality is shown greater than -6 so the inequality will start from a negative y toward the positive y i.e.

3y−5x > −6

3y > 5x - 6
y > (5x - 6)/3

The above expression shows the value of y lies above the line y =5x/3-2 which implies graph A is correct.

Thus, Graph A represents the given inequality 3y−5x>−6. Option A is correct.

Learn more about inequality here:

http://brainly.com/question/14098842

#SPJ6

Answer:

18

Step-by-step explanation:

So, it's a 63 in piece of wood, being cut into 3 1/2 in pieces, (or 3.5)

So do 63 / 3.5 = 18

18 pieces of 3 1/2 in pieces of wood

Answer:

2:1

Step-by-step explanation:

use k:1 as ratio, and then apply the section formula.

let's use the x co-ordinate pf the point in between the other two which is=(3)

section formula says,

x=mx2 + nx1/(m+n)

m=k , n=1

substitute all the values,

3=5k+(-1)/(k+1)

take k+1 to left side,

3(k+1)=5k-1

3k+3=5k-1

5k-3k=3+1

2k=4

(÷2)

k=2

hence, the ratio = 2:1

Answer:

Step-by-step explanation:

(5,6)

Answer: $50 + $2.49x = $67.43

Step-by-step explanation:

Let the case of water bought be represented by x.

We are informed that Sam's Club has a special that charges $2.49 per case of water and that Vinny wants to pay that price, but needs to purchase a membership first, which costs $50 and that Vinny eventually spent $67.43.

The equation that represents the number of cases of water that Vinny bought at Sam's club will be:

$50 + $2.49x = $67.43

Answer:

C

Step-by-step explanation:

Do 300,000/3 and count 0 to find answer

Answer:

420

Step-by-step explanation:

1. Find the area of the square:

5 x 5 = 25

2. Find the area of the triangle:

1/2 x base x height

1/2 x 5 x 4 = 10

3. Add the two areas:

25 + 10 = 35

4. Multiply 35 by 12:

35 x 12 = 420

Answer:

Step-by-step explanation:

3x = 105

x = 35

3(35) = 105

Answer:

8 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

[tex]8 \: is \: the \: lcm \: of \: 4 \: and \: 8[/tex]

Answer:

x=7

Step-by-step explanation:

Starting with (x-2)² = 25

First, square root both sides to get rid of the square on the left. You'll get:

x-2 = 5

Add 2 to both sides to get x alone. You'll get:

x=7

Check your answer by filling in 7 for x:

(7-2)² = 25

(5)² = 25

25 = 25

Answer:

$22.08

Step-by-step explanation:

As long as the night power is not greater than 50%, then the rate is $8.71365.

The day power plan is $13.3672, according to the narration the sum of both variable is required, which is $22.08085.

Answer:

32.3 feet.

Step-by-step explanation:

I attached a picture to show u the work!! sorry I spelled pythagorean theorem

Step-by-step explanation:

To solve the equation, factor x

2

+x−56 using formula x

2

+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=1

ab=−56

Since ab is negative, a and b have the opposite signs. Since a+b is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product −56.

−1,56

−2,28

−4,14

−7,8

Calculate the sum for each pair

−1+56=55

−2+28=26

−4+14=10

−7+8=1

The solution is the pair that gives sum 1.

a=−7

b=8

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x−7)(x+8)

To find equation solutions, solve x−7=0 and x+8=0.

x=7

x=−8

Answer:

Less Than

Step-by-step explanation:

 Given;

The equation of one exponential function is

[tex]g(x)=-9(0.1)^x[/tex]

Solve for (y-intercept of g(x))

⇒ [tex]g(x) = -9(0.1)^x[/tex]

⇒ [tex]y = -9(0.1)^0[/tex]

⇒ [tex]y = -9[/tex]

Note;

The y-intercept is when x = 0

y-intercept of h(x) = 6

Hence, knowing that  -9 < 6.

Thus, y-intercept of g(x) is less than the y-intercept of h(x).

~Learn with lenvy~

Answer:

less than

Step-by-step explanation:

The y-intercept is when x = 0

Function g(x)

[tex]g(x)=-9(0.1)^x[/tex]

Input x = 0 into the equation and solve:

[tex]\implies g(0)=-9(0.1)^0=-9[/tex]

Therefore, the y-intercept of g(x) is (0, -9)

Function h(x)

From inspection of the table, the y-intercept of h(x) is (0, 6)

As -9 < 6, the y-coordinate of the y-intercept of g(x) is less than the y-coordinate of the y-intercept of h(x)

Answer:

Step-by-step explanation:

You can tell how to isolate a variable by listing the operations done to it, as prescribed by the order of operations. Then, you work backwards up the list performing inverse operations as you go.

__

Additional comment

Where mixed powers of the variable are involved, as in polynomials of degree higher than 1, there is generally not an inverse operation you can use to isolate the variable. Rather, special forms are used that facilitate isolating the variable. The variable in a quadratic, for example, can be isolated by "completing the square." Similar procedures are available for solving cubic and quartic equations, though those tend to be somewhat more complicated.

There are many kinds of equations in which there are no methods for isolating the variable. In general, any mix of polynomial terms and logarithmic, exponential, or trigonometric function terms are in that category: x +sin(x) -3 = 0, for example. (A graphing calculator shows the solution is near x=2.18, where the angle is in radians.)

Answer:

location after 2 minutes dive from the surface = -440 feet

Step-by-step explanation:

We are told that he dives 1,760 feet in 8 minutes.

Now, we are told that he dives down at a constant rate.

Thus means that the distance he dives per minute can be gotten.

Distance dived per minute = 1760/8 = 220 feet/minutes

Now, we want to find the location of the penguin in relation to the surface 2 minutes after beginning his dive.

Thus;

Distance after 2 minutes = 220 feet/minutes × 2 minutes = 440 feet

Now, because the dive is below the surface, the location will be negative.

Thus, location after 2 minutes dive from the surface = -440 feet

Answer:

area if square or area of ellipse

Step-by-step explanation:

I think so if I get it word don't get made at me

The required area that is best for the planting of the tree is the area of the circle.

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
Given that, Tammy has planted a small young tree in her yard. To allow for the growth of the tree she needs 15 ft in all directions around the base of the tree to remain open.
When the curve is drawn at 15 ft from the plant the curve came out to be a circle,

Thus, the required area that is best for the planting of the tree is the area of the circle.

Learn more about the surface area here: https://brainly.com/question/2835293

#SPJ2

Answer:

.99m+49.99

Step-by-step explanation:

The slope is the value per mile, being .99. The constant is the value that remains the same, which in this situation is represented by the downpayment, being 49.99.