All categories

3 years ago

If 2^x=5 what is 2^3^x - 4

Mathematics

2 answers:

solmaris [256]3 years ago

7 0

Answer: 121

Step-by-step explanation:

If 2^x = 5, what is the value of 2³^×

This can also be re arranged in the form

(2^x)³ - 4

Since 2^x = 5, we now substitute for the value in the expression above.

5³ - 4

= 125 - 4

= 121.

vivado [14]3 years ago

6 0

I believe the answer is 26

You might be interested in

Rachel bought turkey for a cookout she used the turkey to make 1/4 pound burgers if Rachel bought 4 1/2 pounds of turkey how man

zysi [14]

Answer:

the answer is 18 burgers

Step-by-step explanation:

u have to do 4 1/2÷1/4=18 burgers

Hope this helps!!!

6 0

3 years ago

If sin y° = 7 over q and tan y° = 7 over r, what is the value of sec y°?

Tomtit [17]

Answer:

Sec y = q/r

Step-by-step explanation:

Sin y = 7/q

tan y = 7/r

Mathematically cos y = sin y/tan y

But sec y = 1/cos y

So therefore sec y = tan y/sin y

So that would be ;

7/r divided by 7/q

= 7/r * q/7

= q/r

3 0

3 years ago

Which expression can be used to find the price of a $400 telescope after a 32% markup? Select all that apply.

elena-s [515]

<h3>There are 2 answers: choice C, choice D</h3>

====================================================

Explanation:

32% = 32/100 = 0.32

32% of 400 = 0.32*400 = 400(0.32), which adds onto the original 400 to get 400+400(0.32). This is why choice D is one of the answers.

We can factor out the GCF 400 to go from 400+400(0.32) to 400(1+0.32) which then simplifies to 400(1.32) or just 400*1.32. This shows choice C is the other answer. Using a calculator,

400+400(0.32) = 400 + 128 = 528

400*1.32 = 528

meaning that 400+400(0.32) = 400*1.32

The other answer choices result in other values, showing that they aren't equivalent to 528.

6 0

4 years ago

Write a rule for the linear function in the table.

JulijaS [17]

Answer:

I guess that you want to know the transformations:

We start with:

f(x) = y = 4*x + 3

a)the transformed function is:

f(x) = y = -4*x - 3

So the sign changed.

This means that we go from (x, y) to (x, - y)

This is a reflection over the x-axis which changes the sin of the y component.

b) Now we go to f(x) = 4*x + 3

So the coefficient in the leading term changed.

This is a horizontal contraction:

A horizontal contraction of factor K for the function g(x) is: g(K*x)

In our case, we have:

f(K*x) = 4*(k*x) + 3 = x + 3

4*k*x = x

4*k = 1

k = 1/4

Then the transformation is an horizontal contraction of scale factor 1/4.

6 0

3 years ago

For 0 ≤ ϴ < 2π, how many solutions are there to tan(StartFraction theta Over 2 EndFraction) = sin(ϴ)? Note: Do not include va

Black_prince [1.1K]

Answer:

3 solutions:

$\theta={0, \frac{\pi}{2}, \frac{3\pi}{2}}$

Step-by-step explanation:

So, first of all, we need to figure the angles that cannot be included in our answers out. The only function in the equation that isn't defined for some angles is $tan(\frac{\theta}{2})$ so let's focus on that part of the equation first.

We know that:

$tan(\frac{\theta}{2})=\frac{sin(\frac{\theta}{2})}{cos(\frac{\theta}{2})}$

therefore:

$cos(\frac{\theta}{2})\neq0$

so we need to find the angles that will make the cos function equal to zero. So we get:

$cos(\frac{\theta}{2})=0$

$\frac{\theta}{2}=cos^{-1}(0)$

$\frac{\theta}{2}=\frac{\pi}{2}+\pi n$

$\theta=\pi+2\pi n$

we can now start plugging values in for n:

$\theta=\pi+2\pi (0)=\pi$

if we plugged any value greater than 0, we would end up with an angle that is greater than $2\pi$ so, that's the only angle we cannot include in our answer set, so: