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3 years ago

What is the value of n in this equation?4^3×4^4=4n

Mathematics

2 answers:

larisa [96]3 years ago

6 0

4096
(4^3)(4^4) = 4n
16384 = 4n
4n = 16384
4n/4 = 16384/4
n = 4096

Anton [14]3 years ago

3 0

Answer:

Step-by-step explanation:

$4^3\times4^4=4^n\qquad\text{use}\ a^n\times a^m=a^{n+m}\\\\4^{3+4}=4^n\\\\4^7=4^n\iff 7=n\to n=7$

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A circular swimming pool has a diameter of the 26 feet. What is the area of the swimming pool? Use 3.14 to approximate for π . E

inn [45]

So the equation for the area of a circle is $A=3.14(r^2)$

First to find the radius, you would need to divide the diameter, 26, by half, which in this case its 13.

Replace the r variable with 13 and solve:

$A=3.14(13^2)$

$A=3.14(169)$

$A=530.7$

3 0

4 years ago

The product of (4z^2 + 7z - 8) and (-z + 3) is -4z^3 + xz^2 + yz - 24. What is the value of x? What is the value of y?

ycow [4]

Answer:

$x=5+\frac{29}{z}-\frac{y}{z}$

$y=5z+29-xz$

Step-by-step explanation:

Given: $(4z^2+7z-8)(-z+3)=-4z^3+xz^2+yz-24$ ; find x and y.

Let's start with finding x first. Let's distribute the left side of the equation.

$-4z^3+5z^2+29z-24=-4z^3+xz^2+yz-24$

Let's move everything we can to the left side of the equation. Some things will cancel out.

$5z^2+29z=xz^2+yz$

Now, let's move the term that includes $x$ to the left side of the equation. Everything else should be moved to the right.

$-xz^2=-5z^2-29z+yz$

Let's get rid of the negative sign in front of $x$ by dividing both sides by -1.

$xz^2=5z^2+29z-yz$

To get $x$ completely isolated, divide both sides by $z^2$ .

$\frac{xz^2}{z^2}=\frac{5z^2}{z^2}+\frac{29z}{z^2}-\frac{yz}{z^2}$

Simplify.

$x=5+\frac{29}{z}-\frac{y}{z}$

Let's solve for y. We will start with the distributed and simplified equation to make it easier.

$5z^2+29z=xz^2+yz$

Now, let's move the term that includes $y$ to the left side of the equation. Everything else should be moved to the right.

$-yz=-5z^2-29z+xz^2$

Again, let's get rid of the negative sign in front of the $y$ by dividing both sides by -1.

$yz=5z^2+29z-xz^2$

To isolate y, divide both sides by z.

$\frac{yz}{z}=\frac{5z^2}{z}+\frac{29z}{z}-\frac{xz^2}{z}$

Simplify.

$y=5z+29-xz$

8 0

3 years ago

Read 2 more answers

If f(x) = 7(x - 2) + 4(x + 1), what is f(2)?<br><br> A. 9 B. 10 C. 12 D. 11

KatRina [158]

Answer:

C) 12

Step-by-step explanation:

These type of questions is basically asking you to replace x with 2. f(x) is the same thing as y = but inside the f(x) is the value of x. So in this case, the numerical value of x is 2. All we need to do is replace x with it's numerical value, 2, and solve the equation.

$y=7(2-2) + 4(2+1)\\y=7(0) + 4(3)\\y = 12$

8 0

3 years ago

Read 2 more answers

I need help with it pls help I will really appreciate it !

GuDViN [60]

Answer:

try with this link https://es.symbolab.com/solver/square-roots-calculator

Step-by-step explanation:

8 0

3 years ago

Oh my gosh <br> I don't have no idea, <br><br> Please help and don't forget to show your work.

Greeley [361]

A=LW
7x^3-42x^2=L(7x^2)
7x^2(x-6)=L(7x^2)
divide both sides by 7x^2
x-6=L
legnth=x-6

13. biased becasue they call documentary boring and action movie exiting, that is subjective, they should say, documentary or action movie, and not dexscribe it

14. survey in health club
helathy peopel probably don't drink alot of differnt beverages (maybe only sports drinks or water)
biases

12. L=x-6
13. biased
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8 0

4 years ago

What is the value of n in this equation?4^3×4^4=4n ​

What is the value of n in this equation?4^3×4^4=4n