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3 years ago

What is the value of x in the equation log5 x = 4 jmap?

1 answer:

5 0

To solve for x we proceed as follows:
from the laws of logarithm, given that:
log_a b=c
then
a^c=b
applying the rationale to our question we shall have:
log_5 x=4
hence
5^4=x
x=625
Answer: x=625

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How many whole cans can the company make out of each sheet of metal?

klio [65]

Answer:

Step-by-step explanation:

Total Surface Area of the Metal Sheet = $1000\:in^2$

Given a cylinder with diameter 3 Inch and height $4\frac{1}{4} in$

To determine how many whole cans can be made, the first step is to find the total surface area of each of the cylindrical can.

Total Surface Area of a cylinder = $2\pi r^2+2\pi rh$

Radius =3÷2=1.5 Inch

Height of the can = $4\frac{1}{4} in$

<u>Total Surface Area of each can </u>

$2\pi r^2+2\pi rh=2\pi r(r+h)\\=2*1.5*\pi(1.5+4.25)\\=3\pi *5.75\\=17.25\pi \:in^2$

<u>Number of Cans that can be Made </u>

To determine this, we divide the total surface area of the metal sheet by the total surface area of each can.

Number of Cans=Total surface area of the metal sheet÷Total surface area of each can.

$=1000 \div 17.25\pi\\=18.45$

Therefore, the company can make 18 whole cans from each sheet of metal.

6 0

3 years ago

Solve the system of linear equations by substitution x=5y+2 and x-4y=5

never [62]

Answer:

(17,3)

Step-by-step explanation:

Equation 1.

x=5y+2

Equation 2.

x-4y=5

To solve with substitution, it looks like the x-variable in the first equation is already isolated. So, plug the first equation into the x-variable in the second equation.

x-4y=5

(5y+2)-4y=5

y+2=5

y=3

Now that we found y, plug y into one of the equations to solve for x.

x=5y+2

x=5(3)+2

x=15+2

x=17

(17,3)

6 0

2 years ago

Evaluate the expression w 2 - v + 1 for w = -2 and v = -8.

Aleksandr [31]

Answer:

Is the w2, w(2) or

${w}^{2}$

If it's w(2) the answer is -4--8+1=-4+8+1=5

if it's w^2 then the answer would be 4--8+1=4+8+1=13

4 0

2 years ago

Hari bought a shirt for Rs 320 and sold it for Rs 365 to Ram calculate his profit or loss

solmaris [256]

Answer:

profit=sp-cp

=365-320

=45#

7 0

3 years ago

3 squared 7=7 1/3 simplification

anzhelika [568]

Error! Because that does not make any sense

6 0

3 years ago