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vekshin1
3 years ago
15

I’m clueless! Can someone explain how to do this question step by step? Thanks! Extra points!! What is the average (arithmetic m

ean) of 4x + 5, 7x-6, and -8x+2?
Mathematics
1 answer:
ololo11 [35]3 years ago
4 0

Answer:

x+ 1/3 is the average

Step-by-step explanation:

To find the mean, add the terms together and then divide by the number of terms.  There are 3 terms

(4x + 5+ 7x-6 + -8x+2)/3

Combine like terms

( 3x+1)/3

x+ 1/3 is the average

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ΔABC has three sides with these lengths: AB = 9, BC = 40, and CA = 41. What is the value of cos C?
kotykmax [81]

Answer:

cos(C) =\frac{40}{41}\\\\cos(C)=0.976

Step-by-step explanation:

To find the cos (C) we must use the cosine theorem.

The cosine theorem says that:

c^2 = a^2 +b^2 -2abcos(C)

In this case:

c=AB = 9

b=CA = 41

a=BC = 40

So

9^2 = 40^2 +41^2 -2(40)*(41)cos(C)

9^2- 40^2- 41^2 =-2(40)*(41)cos(C)

cos(C) = -\frac{9^2- 40^2- 41^2}{2(40)*(41)}

cos(C) =\frac{40}{41}\\\\cos(C)=0.976

7 0
3 years ago
Please help! ill give brainliest
anastassius [24]

Answer:

y=-6

Step-by-step explanation:

1. plug in the values, it will be y=4/3(-6) + 2

2. simplify

y=-24/3 + 2

y=-8+2

y=-6

I hope this helped, and if it did, please mark this as brainliest! thanks

4 0
3 years ago
A cylindrical water tank has a diameter of 5.3 meters and a height of 9 meters. What is the maximum volume that the water tank c
atroni [7]

Answer:

198.56m^{3

Step-by-step explanation:

To find the volume of a cylinder, you need to find the area of the cross-section (one of the circles on the side) and multiply it by the length.

Area of the circle = πr^{2} = π x (5.3/2) x (5.3/2) = π x 2.65 x 2.65 = 7.0225π

Volume of the cylinder = 7.0225π x 9 = 63.2025π = 198.56m^{3

8 0
2 years ago
The table gives estimates of the world population, in millions, from 1750 to 2000. (Round your answers to the nearest million.)
BaLLatris [955]

Answer:

A.) 1508 ; 1870

B.) 2083

C.) 3972

Step-by-step explanation:

General form of an exponential model :

A = A0e^rt

A0 = initial population

A = final population

r = growth rate ; t = time

1)

Using the year 1750 and 1800

Time, t = 1800 - 1750 = 50 years

Initial population = 790

Final population = 980

Let's obtain the growth rate :

980 = 790e^50r

980/790 = e^50r

Take the In of both sides

In(980/790) = 50r

0.2155196 = 50r

r = 0.2155196/50

r = 0.0043103

Using this rate, let predict the population in 1900

t = 1900 - 1750 = 150 years

A = 790e^150*0.0043103

A = 790e^0.6465588

A = 1508.0788 ; 1508 million people

In 1950;

t = 1950 - 1750 = 200

A = 790e^200*0.0043103

A = 790e^0.86206

A = 1870.7467 ; 1870 million people

2.)

Exponential model. For 1800 and 1850

Initial, 1800 = 980

Final, 1850 = 1260

t = 1850 - 1800 = 50

Using the exponential format ; we can obtain the rate :

1260 = 980e^50r

1260/980 = e^50r

Take the In of both sides

In(1260/980) = 50r

0.2513144 = 50r

r = 0.2513144/50

r = 0.0050262

Using the model ; The predicted population in 1950;

In 1950;

t = 1950 - 1800 = 150

A = 980e^150*0.0050262

A = 980e^0.7539432

A = 2082.8571 ; 2083 million people

3.)

1900 1650

1950 2560

t = 1900 - 1950 = 50

Using the exponential format ; we can obtain the rate :

2560 = 1650e^50r

2560/1650 = e^50r

Take the In of both sides

In(2560/1650) = 50r

0.4392319 = 50r

r = 0.4392319/50

r = 0.0087846

Using the model ; The predicted population in 2000;

In 2000;

t = 2000 - 1900 = 100

A = 1650e^100*0.0087846

A = 1650e^0.8784639

A = 3971.8787 ; 3972 million people

3 0
3 years ago
Mr. Garcia is spreading mulch in his yard he spreads 3 square yards and 40 minutes how many square yards can he mulch in 1 hour
Verdich [7]

Answer:

Step-by-step explanation:

3 over 2/3 → 3/1 divided by 2/3  → 3/1  x 3/2 (do keep change flip)

once you multiply you'll get 9/2.

4 0
2 years ago
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