W W
1000
A) 35°
C) 25°
B) 55°
D) 40°

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:

im pretty sure what u have ther is right

Answer:

Corson had a better performance at the skills competition.

Step-by-step explanation:

In order to determine which player had a better performance at the skills competition, we need to find the percentage performance of both the players.

Therefore,

Corson's percentage performance

[tex] =\frac{5}{7}\times 100= 71.43%[/tex]

Charleigh's percentage performance

[tex] =\frac{3}{5}\times 100= 60%[/tex]

[tex] \because [/tex] Corson's percentage performance > Charleigh's percentage performance

So, Corson had a better performance at the skills competition.

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 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

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

Step-by-step explanation:

The answer:

15.157059248=15.2(When rounded to the nearest tenth)

Answer: The answer is 1st quadrant.

Step-by-step explanation:

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:

My name is lil uzi vert

Step-by-step explanation:

maybach maybach

Answer:

Ok so the answer is the first option

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:

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:

1/6

Step-by-step explanation:

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:

1)  H0 :  σ₁ ²≥ σ₂²;   Ha:  σ₁² < σ₂²

2)  χ²= 43.52

3) The critical region is χ²≤ 5.23

4) Reject the alternate hypothesis.

5) We conclude that the alternate hypothesis is false and accept the null hypothesis.

Step-by-step explanation:

The claim is that it fills bottle with a lower variation which is the alternate hypothesis

1)  Ha:  σ₁² < σ₂² where  σ₁² is the variation of the new machine and σ₂² is the variation of the old machine.

The null hypothesis is opposite of alternate hypothesis H0 :  σ₁ ²≥ σ₂²

2) The test statistic is χ²= ns²/σ ² which under H0 has  χ² distribution with n-1 degrees of freedom assuming the population is normal.

The calculated χ²= ns²/σ ² = 68( 0.12)²/ (0.15)²=0.9792/0.0225= 43.52

3) The critical region is entirely in the left tail. χ²≤χ²( 0.99)(15)= 5.23

4) The alternate hypothesis is false hence reject it.

5) The calculated χ²=  43.52 does not lie in the critical region χ²≤ 5.23 therefore H0 is accepted and concluded that new machine does not fill bottles with a lower variation.

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!

LMJ AND KJM

These are the only alternate interior angles

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

Answer:

b. 4(3x + 5)(3x - 5)

Step-by-step explanation:

Recall difference of squares general formula as a² - b² = (a+b)(a-b)

Looking at the question we have 36x² - 100

Looking at the given answer choices we see there is some factor multiplied through the difference of squares, so we pull out the greatest common factor from the question to get 36x² - 100 = 4(9x² - 25). Now apply difference of squares where a² = 9x² and b² = 25 to get a = 3x and b = 5. Now the equation becomes b. 4(3x + 5)(3x - 5)

Step-by-step explanation:

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

-2 + 6 i

Answer:

−8−2i

Step-by-step explanation:

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

Answer:

[tex]Area = 322.0in^2[/tex]

Step-by-step explanation:

Given

[tex]Base = 23in[/tex]

[tex]Height = 28in[/tex]

Required

Determine the area

The area is calculated as:

[tex]Area = 0.5 * Base* height[/tex]

[tex]Area = 0.5 * 23in * 28in[/tex]

[tex]Area = 322.0in^2[/tex]

Answer:

c

Step-by-step explanation:

one of the sides of the square is equal to one of the sides of the triangle that is perpendicular to the horizontal side of the triangle.

in order to find x we need to use the pythagorean theorem

(6)²+(3)²=x²

36+9=x²

x²=45

x=3√5

which is c

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:

Toshi must begin his walk at 11:00 AM in order that he can return by 8:00 PM.

Step-by-step explanation:

Since the Gotemba walking trail up Mount Fuji is about 9km long, and walkers need to return from the 18km walk by 8pm, if Toshi estimates that he can walk up the mountain at 1.5km / h on average, and down at twice that speed , these speeds taking into account meal breaks and rest times, to determine what is the latest time he can begin his walk so that he can return by 8pm the following calculation must be performed:

Climb: 1.5 km / h

Descent: 2 x 1.5 km / h = 3 km / h

Climb: 9 km / 1.5 km / h = 6 hours

Descent: 9km / 3 km / h = 3 hours

Total: 9 hours

8 PM = 20:00

20:00 - 09:00 = 11:00

Thus, Toshi must begin his walk at 11:00 AM in order that he can return by 8:00 PM.