All categories

2 years ago

What is the exact value of x? 5⋅21^5x=16

Mathematics

1 answer:

IRINA_888 [86]2 years ago

4 0

Answer:

x= 16 /20420505

Step-by-step explanation:

Let's solve your equation step-by-step.

5(215)x=16

Step 1: Simplify both sides of the equation.

20420505x=16

Step 2: Divide both sides by 20420505.

20420505x /20420505 = 16 /20420505

x= 16 /20420505

You might be interested in

How do I do this problem?

goldenfox [79]

so a quadrilateral is a figure with 4 sides. So looking at the picture I see 5 rhombi and 7 squares. So all together thats 12 quadrilaterals

So to find the ration you have to do:

amount of thing: whole

so in this case it would be

12:24

which you can simplify

normally you'd simplify to 1:2 but that doesn't seem like an option so I'd go with the one closest to that ratio

4 0

3 years ago

Read 2 more answers

Find a closed-form solution to the integral equation y(x) = 3 + Z x e dt ty(t) , x > 0. In other words, express y(x) as a fun

MrMuchimi

Answer:

$y{x} = \sqrt{7+2Inx}$

Step-by-step explanation:

$y(x)= 3 + \int\limits^x_e {dx}/ \, ty(t) , x>0}$

Let say; By y(x)= y(e)

we have;

$y(e)= 3 + \int\limits^e_e {dt}/ \, ty= 3+0$

Using Fundamental Theorem of Calculus and differentiating by Lebiniz Rule:

$y^{1} (x) = 0 + 1/ xy$

$y^{1} = 1/xy$

dy/dx = 1/xy

$\int\limits {y} \, dxy = \int\limits \, dx/x$

$y^{2}/2 Inx + C$

RECALL: y(e) = 3

$(3)^{2} / 2 = In (e) + C$

$\frac{9}{2} =In(e)+C$

$\frac{9}{2} - 1 = C$

$\frac{7}{2} = C$

$y^{2} / 2 = In x +C$

$y^{2} / 2 = In x +7/2$

MULTIPLYING BOTH SIDE BY 2 , TO ELIMINATE THE DENOMINATOR, WE HAVE;

$y^{2} = {7+2Inx}$

$y{x} = \sqrt{7+2Inx}$

8 0

3 years ago

Evaluate \dfrac{e}{4}+2f-3 4e +2f−3 when e=12e=12 and f=\dfrac12f= 21

dusya [7]

Answer:

\frac{13+\left(-3\right)^2+4\left(-3\right)+1-\left(-10-\left(-6\right)\right)}{\frac{\left(4+5\right)}{\left(4^2-3^2\left(4-3\right)-8\right)}+12}=5

Step-by-step explanation:

7 0

3 years ago

What is the constant of proportionality in the equation? y=5x 0 1 4 or 5

Ann [662]

Answer:

hope it helps...

Step-by-step explanation:

The value of the constant of proportionality is k=5k=5

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=ky/x=k or y=kxy=kx

The value of the constant k is equal to the value of the slope

In this problem we have

y=5xy=5x ------> is a linear direct variation

The slope is m=5m=5

therefore

The value of the constant of proportionality is k=5k=5

4 0

3 years ago

Sixty percent of the customers who go to Sears Auto Center for tires buy four tires and 22% buy two tires. Moreover, 14% buy few

Bezzdna [24]

Answer:

There is a 4% probability that a customer buys three tires.

Step-by-step explanation:

We have those following percentages

60% buy four tires. This is also the probability that someone buys four tires.

22% buy two tires

14% buy fewer than two tires(one or none).

P% buy three tires

The sum of the percentages must be 100%.

$60 + 22 + 14 + P = 100$

$96 + P = 100$

$P = 4$

There is a 4% probability that a customer buys three tires.

8 0

3 years ago