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2 years ago

If a positive integer is cubed, it equals 216. What is the value of the same integer if it is squared, instead of cubed

Mathematics

1 answer:

Naddika [18.5K]2 years ago

3 0

24√3^4 i hope this helps if its wrong, im sorry.

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Explain how to solve 5^(x − 2) = 8 using the change of base formula log base b of y equals log y over log b.

Ray Of Light [21]

Answer:

x = 3.3

Step-by-step explanation:

A equation is given to us and we need to solve out for x. The given equation is ,

Take log on both sides with base as " 10" . We have ,

Simplify using the property of log , , we have ,

Simplify ,

Again simplify using the property of log ,

We know that log 5 = 0.69 and log 2 = 0.301 , on substituting this , we have ,

Simplify the RHS ,

Add 2 both sides ,

Hence the Value of x is 3.30 .

3 0

2 years ago

find the area of a parallelogram if a base and corresponding altitude have the indicated lengths base 1 1/2 feet , altitude 6 in

Ostrovityanka [42]

The area of parallelogram is 108 square inches

Solution:

The formula for area of parallelogram is:

$Area = base \times height$

From given,

$Base = 1\frac{1}{2}\ feet = \frac{2 \times 1 + 1}{2} = \frac{3}{2}\ feet$

$Height = 6\ inches$

Convert feet to inches

1 feet = 12 inches

$\frac{3}{2}\ feet = \frac{3}{2} \times 12\ inches = 18\ inches$

Therefore, area of parallelogram is:

$Area = 18 \times 6\\\\Area = 108$

Thus area of parallelogram is 108 square inches

4 0

2 years ago

For the equation given below, evaluate y′ at the point (−2,2) xe^y−4y=2x−4−2e^2

jeka94

Implicit differentiation
chain rule is important here

I'll show the steps partially
$e^y+xe^yy'-4y'=2$
$xe^yy'-4y'=2-e^y$
$y'(xe^y-4)=2-e^y$
$y'=\dfrac{2-e^y}{xe^y-4}$
now evaluate for (-2,2)
x=-2 and y=2
$y'=\dfrac{2-e^2}{-2e^2-4}$
$y'=\dfrac{2-e^2}{-2e^2-4}$
$y'=\dfrac{e^2-2}{2e^2+4}$
that's it, simplest form

3 0

3 years ago

a tea company surveyed shoppers at two different malls. shoppers were asked whether they prefer sweetened or unsweetened tea. at

FromTheMoon [43]

First, let's create the ratios of sweetened to unsweetened. To do this, you would have to subtract the number of people that preferred unsweetened from the total.
Westside mall: 15:30 or $\frac{15}{30}$
Eastside mall: 13:26 or $\frac{13}{26}$

Now, you would divide to both ratios.
15 ÷ 30 = 0.5
13 ÷ 26 = 0.5

They have the same sum, meaning, they are the same.

Westside Mall shoppers are just as likely to prefer unsweetened tea as Eastside Mall shoppers.

I hope this helps!

8 0

3 years ago

Lines l and m are parallel lines cut by the transversal line t. Which angle is congruent to ∠7?

pav-90 [236]

Answer:

<3, <2 or <6

Step-by-step explanation:

6 0

2 years ago