What is the unit's digits in the product 7³⁵×3⁷¹×11⁵⁵
A.1
B.3
C.7
D.9

Answer && Step-by-step explanation:

f o g x

== f(g(x))

plug g(x) into x variables

f(x)=2x+1 , g(x)=x+14

2(x+14)+1

2x+28+1

==2x+29

b is the answer

Answer:

5 cups

Step-by-step explanation:

Answer:

The probability is 0.9545

Step-by-step explanation:

To find this probability, we shall use the z-score formula

Mathematically;

z-score = (x - mean)/SD/√n

where mean = 20

SD = 5

n = 100 and so √100 = 10

So for 19, we have ;

(19-20)/5/10 = 1/0.5 = -2

For 21, we have

(21-20)/5/10 = 1/0.5 = 2

So the probability we want to calculate is

P( -2 < z < 2)

we can use the standard normal distribution table for this

Using this table;

P(-2<z<2) = 0.9545

Answer:

I think it might be b

Step-by-step explanation:

sorry if its wrong

Answer:

the dimensions that will minimize the cost are; 25.2 ft × 25.2 ft × 12.6 ft

Step-by-step explanation:

If the length, width and height of the building are represented by a, b and c, then we have:

Volume = abc

We are given volume as 8000 ft³. Thus;

abc = 8000

Top area = ab

Front area = ac

Back area = ac

End walls area = bc

We are told that cooling costs will amount to $2/ft² for its top, front, and back, and $4/ft² for the two end walls.

Thus, cooling cost equation is;

X = 2(ab) + 2(ac) + 2(ac) + 4bc + 4bc

X = 2ab + 4ac + 4bc

Now, from the volume equation where abc = 8000.

c = 8000/ab

Thus;

X = 2ab + 4a(8000/ab) + 4b(8000/ab)

X = 2ab + 32000/b + 32000/a

To minimize, we will find the a and b derivative and set the equation to zero in both cases.

Thus;

dX/da = 2b - 32000/a² = 0

2b = 32000/a² - - - eq(1)

Also;

dX/db = 2a - 32000/b² = 0

2a = 32000/b² - - - (eq 2)

Making a the subject in eq 2 gives;

a = 32000/2b²

a = 16000/b²

Putting 16000/b² for a in eq (1) gives;

2b = 32000/(16000/b²)²

2b = 32000b⁴/256000000

2b = b⁴/8000

Multiply both sides by 8000 to get;

2b × 8000 = b⁴

16000b = b⁴

Divide both sides by b to get;

16000 = b³

b ≈ 25.2 ft

Putting 25.2 for b in a = 16000/b², we have;

a = 16000/25.2²

a ≈ 25.2

Putting a and b = 25.2 in the volume equation, we have;

25.2 × 25.2 × c = 8000

c = 8000/(25.2 × 25.2)

c = 12.6 ft

Thus, the dimensions that will minimize the cost are; 25.2 ft × 25.2 ft × 12.6 ft

Answer:

2+

Step-by-step explanation:

Answer:

eight hours long to operate

Answer:

3x^2y

Step-by-step explanation:

May i please have brainliest :)

Answer:

[tex]7.56\times 10^7\ \text{beats}[/tex]

Step-by-step explanation:

It is given that,

A person has an average heart rate of 72.0 beats/min.

We need to find how many beats does he or she have in 2.0 years, t = 2 Y

Converting years to min.

[tex]t=2\text{year}\times \dfrac{365\ \text{days}}{\text{year}}\times 24\dfrac{h}{\text{day}}\times \dfrac{60\text{min}}{\text{hour}}\\\\t=1051200\ \text{min}[/tex]

So, no of beats in 2 years is given by :

[tex]b=72\ \text{beats/min}\times 1051200\ \text{min}\\\\b=7.56\times 10^7\ \text{beats}[/tex]

Hence, the required answer is [tex]7.56\times 10^7\ \text{beats}[/tex].

Answer:

x=2

Step-by-step explanation: