How much time will it take for a bug to travel 75 meters across the floor if it is traveling at 5 m/s?

Step-by-step explanation:

3 + (2 * i)) - (5 - (4 * i)) =

-2 + 6 i

Answer:

−8−2i

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

180-63-78 = 39

180 - 39- 59 =82

180-82-72=26

The missing piece of information is ∠C ≅ ∠C′

From the figure,  we have:

AB ≅ A'B'

<B ≅ <B'

The above means that:

The congruence theorem is given as:

AAS --- Angle Angle Theorem

i.e.

Two corresponding angles and one corresponding side are congruent

Since a congruent side and a congruent angle have been given;

We need a congruent angle to complete the piece

In this case, we have:

∠C ≅ ∠C′

Hence, the missing piece of information is ∠C ≅ ∠C′

Read more about congruent triangles at:

https://brainly.com/question/1675117

#SPJ1

Step-by-step explanation:

1. simple interest

I= p × r × t

I = 1050 × 4.5 × 2

I = $9450

2. principal

p = I/(rt)

p= 22.50/ (3× 3)

p = 22.50/9

p = $2.5

3. simple interest

I= p × r × t

I = 500 × 5 × 3

I = $7500

4. time

first convert r to decimal

r= r/100, r= 3.5 / 100

r= 0.035

t = i/(pr)

t = 43.75/ (2500× 0.035)

t = 43.75/ 87.5

t = 0.5 year or 6 months

Answer:

75.36

Step-by-step explanation:

Area of the top of the snowman

A=πr^2

A=3.14(5)^2

A=78.5

A=πr^2

A=3.14(7)^2

A=153.86

The difference of the areas:

153.86-78.5

=75.36

You're using Newton's method to find the roots to

f(x) = g(x)   →   x ⁶ = cos(x)

Recast this as finding the roots to

h(x) = f(x) - g(x) = x ⁶ - cos(x)

First, get the tangent line approximation L(x) to h(x) at an arbitrary starting point x = x₀ ; in a small neighborhood of x₀, we have

h(x) ≈ L(x) = h(x₀) + h'(x₀) (x - x₀)

Find the root to the tangent line function:

0 = h(x₀) + h'(x₀) (x - x₀)   →   x = x₁ = x₀ - h(x₀)/h'(x₀)

x₁ is the first approximation of a root to h(x). Repeat the process - that is, take the tangent line to h(x) at x₁ to find the next approximation x₂, and so on - until you meet the required condition.

For the smaller root, take x₀ = -π/2 :

x₀ ≈ -1.5708

x₁ = x₀ - h(x₀)/h'(x₀) ≈ -1.31348

x₂ = x₁ - h(x₁)/h'(x₁) ≈ -1.11366

x₃ = x₂ - h(x₂)/h'(x₂) ≈ -0.982446

x₄ = x₃ - h(x₃)/h'(x₃) ≈ -0.928013

x₅ = x₄ - h(x₄)/h'(x₄) ≈ -0.920039

x₆ = x₅ - h(x₅)/h'(x₅) ≈ -0.919887

Stop at x₆ because |x₆ - x₅| ≤ 0.001.

For the larger root, you can start the process over with a different seed for x₀, such as π/2. But since h(x) is an even function and symmetric about the y-axis, the larger root will just be the same root with positive sign, 0.919887.

Hello!

[tex]\large\boxed{c_{5} = 136}[/tex]

We can begin by solving for c₃ given the equations:

c₃ = 3c₂ + 2c₁ - 2

c₃ = 3(2) + 2(4) - 2

Simplify:

c₃ = 6 + 8 - 2 = 12

We can now find the subsequent terms:

c₄ = 3(12) + 2(2) - 2 = 38

c₅ = 3(38) + 2(12) - 2 = 136

Now we have to,

find the required value of c₅.

Given that,

→ c₁ = 4

→ c₂ = 2

→ [tex] \sf {c_n = 3c_{n-1}+2c_{n-2}-2}[/tex]

Let's solve c₃ first,

→ 3c₂ + 2c₁ - 2

→ 3(2) + 2(4) - 2

→ 6 + 8 - 2 = 12

Then the value of c₃ is

→ [c₃ = 12]

Then find the value of c₄,

→ c₄ = 3(12) + 2(2) - 2

→ c₄ = {36 + 4} - 2

→ c₄ = 40 - 2

→ [c₄ = 38]

Next we can solve for c₅,

→ c₅ = 3(38) + 2(12) - 2

→ c₅ = {114 + 24} - 2

→ c₅ = 138 - 2

→ [c₅ = 136]

Hence, the value of c₅ is 136.

Answer:

Let's define two transformations.

Vertical translation.

If we have a function f(x), a vertical translation of N untis is written as:

g(x) = f(x) + N

If N is positive, then the translation is upwards

If N is negative, then the translation is downwards.

Horizontal translation.

If we have a function f(x), a horizontal translation of N units is written as:

g(x) = f(x - N)

if N is positive, then the translation is to the right

If N is negative, then the translation is to the left.

Now we have a function g(x) that is a transformation of a parent function f(x) (we actually do not know which parent function, so i assume f(x) = x^2) such that we have a shift right 5 units and up 3 units.

Then:

g(x) = f(x - 5) + 3

and again, using f(x) = x^2

g(x) = (x - 5)^2  + 3

Step-by-step explanation:

The given vector is :

r = (-4,6)

We can write in the form of vector as follows :

r = -4i+6j

The magnitude of vector r is :

[tex]|r|=\sqrt{-4^2+6^2} \\\\=\sqrt{16+36} \\\\=7.21[/tex]

For direction,

[tex]\tan\theta=\dfrac{y}{x}\\\\\theta=\tan^{-1}(\dfrac{y}{x})\\\\=\tan^{-1}(\dfrac{6}{-4})\\\\=-56.3^{\circ}[/tex]

So, the magnitude is 7.21 and the direction is [tex]-56.3^{\circ}[/tex]

Answer:

A. |r|=2√13, 56.3° N of W

Step-by-step explanation:

got it on edge :)

Answer:

im pretty sure what u have ther is right

Answer: Don't put if this is't right. based on my calculatios I got B

Step-by-step explanation:

Answer:   x = 7

Thus 7 associates and 10 partners were assigned

Step-by-step explanation:

7 associates and 10 partners were assigned

Let "x" be the number of associates assigned to

case

Let "y" be the number of partners assigned to the case

The law firm assigned a total of 17 lawyers to the case

Therefore,

x + y = 17

x = 17 - y --------- eqn 1

daily rate charged to the client for each associate is $800

daily rate for each partner is $1800

They was able to charge the client $23600 per day for these lawyers' services

Therefore,

800x + 1800y = 23600 ------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

800(17 - y) + 1800y = 23600

13600 - 800y + 1800y = 23600

1000y = 23600 - 13600

1000y = 10000

Divide both sides by 1000

y = 10

Substitute y = 10 in eqn 1

x = 17 - 10

x = 7

Thus 7 associates and 10 partners were assigned

The answer:

15.157059248=15.2(When rounded to the nearest tenth)

Answer:

10 cups of water should be used

Step-by-step explanation:

Answer:

2 : 4 : : x : 20

2×20/4

2 × 5 = 10

therefore he should use 10 cups of water

Hope it helps!

Answer:

Remember that the Pythagorean's theorem says that:

For a triangle rectangle with hypotenuse H and catheti A and B:

H^2 = A^2 + B^2

Here we also need to remember that the area of a square of side length L is:

area = L^2

Now let's solve this.

First, we start with two squares, one of side length a and the other of side length b.

Such that the complete area in the first image is:

area = a^2 + b^2

Now we draw two triangle rectangles with catheti a and b, and with hypotenuse c.

in step 3, we rotate those triangles in order to make a larger square, with side length c, with an area equal to:

area = c^2

Notice that we never added more shapes, so the area of the image did not change in all this process, then the initial area must be equal to the final area:

a^2 + b^2 = area = c^2

a^2 + b^2 = c^2

And remember that a and b are the catheti of the triangles, and c is the hypotenuse, then this is the Pythagorean's theorem.

Answer:

Ok so the answer is the first option

Answer:

My name is lil uzi vert

Step-by-step explanation:

maybach maybach

Answer:

hot dog and baloney :>

Step-by-step explanation:

yeet

Answer:

Hot dog and baloney

Chicken and macaroni

Chilling with my homies

I heard it so many times :)

Answer: The answer is 1st quadrant.

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

length x width = surface area

7.5 x 4 = 30

Answer:

prevents people from effectively socializing

Step-by-step explanation:

social distancing presents the dangers of increasing social rejection, growing impersonality and individualism, and the loss of a sense of community.

Answer: -(m/n) = (m/n)^-1 = 1 / (m/n)

Hence, a^-(m/n) = (1 / a^(m/n)) where m,n are rational numbers.

For example: let 1/2 be rational number and 4 be real number then, 4^-(1/2) = 0.5 = 1/(4^(1/2))

i would say the answer is 5/8

because c is 3/4

Answer:

first evening, 10 calls, second evening 80 calls, third evening, 20 calls.

Step-by-step explanation:

if the number of calls received during the first evening is X, then the number of calls received during the third evening is X+10 as the third evening received 10 more calls than first evening. The second evening received 4 times of third so 4X+10. Add them up together and put them equal to 110.

X+10+X+4X+40=110

6X+50=110

6X=110-50

6X=60

X=10

First evening, 10 calls,

second evening 80 calls; 4X+40, 4(10)+40=80

third evening 20 calls; X+10, (10)+10=20

Answer:

1/6

Step-by-step explanation: