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3 years ago

What two numbers is the square root of 23 between?

Mathematics

1 answer:

mestny [16]3 years ago

5 0

Answer:

23 lies between. 16 and 25

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Peter and sai were buying presents. Their parents had given them each an allowance of $7 per week. Each of them saved their mone

Lady bird [3.3K]

They each have $42 because 7 times 6 is 42 and combined they have $84 because 42 + 42=84.

6 0

3 years ago

Read 2 more answers

I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing x to the left side and factor out x :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for x by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

5 0

3 years ago

The formula for the volume of a sphere is a power function:

soldier1979 [14.2K]

Answer:

r≥0

V(r) ≥0

Step-by-step explanation:

V(r) = 4/3 * Pi* r^3

The domain is the input values for r

The radius cannot be less than 0 but can be any number bigger than 0

What is the domain of the function in this situation?

r≥0

The range is the output values for the function or the volume

The volume must be greater than or equal to zero

V(r) ≥0

7 0

3 years ago

Read 2 more answers

45^2 ÷ 78 = ????????

elena55 [62]

$\frac{(45)^2}{78}$

To solve the problem find the value of (45)^2 at first

$(45)^2=2025$ $\frac{2025}{78}=25\text{ R75}$

The answer is 25 with the remainder 75

$25\frac{75}{78}$

You can simplify the fraction to be 25/26

$25\frac{25}{26}$

3 0

1 year ago

Which 2 numbers have a mean of 10 and a range of 4?

Charra [1.4K]

Answer:

12 and 8

Step-by-step explanation:

basic knowledge of math i guess

hope that helps love

8 0

3 years ago