Find the missing factor B that makes the equality true.-35^6= (-5x^2)(b)

Find the missing side length, indicate whether the side lengths form a Pythagorean triple, and identify the correct explanation.

saw5 [17]

Step-by-step explanation:

Pythagorean Formula = a2 + b2 = C

which is a = Side of triangle

b = Side of Triangle

c = Hypotenuse

4 0

2 years ago

Read 2 more answers

The net worthw(t) of a company is growing at a rate of′(t) = 2000−121t2dollarsper year, wheretis in years since 1990.(a) If the

stiv31 [10]

Answer:

The worth of the company in 2000 is $56,000.

Step-by-step explanation:

The growth rate of the company is:

$f'(t)=2000-12t^{2}$

To determine the worth of the company in 2000, first compute the change in the net worth during the period 1990 (<em>t</em> = 0) to 2000 (<em>t</em> = 10) as follows:

$\int\limits^{10}_{0} {2000-12t^{2}} \, dt =\int\limits^{10}_{0} {2000} \, dt-12\int\limits^{10}_{0} {t^{2}} \, dt=2000 |t|^{10}_{0}-12|\frac{t^{3}}{3}|^{10}_{0}\\=(2000\times10)-(4\times10^{3})\\=20000-4000\\=16000$

The increase in the company's net worth from 1990 to 2000 is $16,000.

If the company's worth was $40,000 in 1990 then the worth of the company in 2000 is:

Worth in 2000 = Worth in 1990 + Net increase in company's worth

$=40000+16000\\=56000$

Thus, the worth of the company in 2000 is $56,000.

4 0

3 years ago

In Jamie's class, 1/5 of the students are boys. What percent of the students in Jamie’s class are boys?

Cloud [144]

Answer:

The percentage of boys students in Jamie's class is 20 %

Step-by-step explanation:

Given as :

The total number of boys in the Jamie's class = $\frac{1}{5}$ of the total student

Let the total number of student's in the class = x

So, The number of boys = $\frac{1}{5}$ × x

I.e The number of boys = $\dfrac{x}{5}$

So , in percentage the number of boys students in class = $\dfrac{\textrm Total number of boy student}{\textrm Total number of students}$ × 100

OR, % boys students = $\dfrac{\dfrac{x}{5}}{x}$ × 100

or, % boys students = $\frac{100}{5}$

∴ % boys students = 20

Hence The percentage of boys students in Jamie's class is 20 % . Answer

7 0

3 years ago

Read 2 more answers

Draw a line segment 7cm long .

White raven [17]

Answer:

The line segment 7 cm long is shown below.

Step-by-step explanation:

First we draw a line line segment whose length is 7 cm long. Then we divide the line in small parts.

The length of each part is 1 cm.

Six points on the line segment divides the line in 7 equal parts and length of each part is 1 cm.

From the figure it is noticed that we have total 7 small parts and length of each part is 1 cm. So length of 7 parts is

$7\times 1=7$

Hence the total length of line is 7 cm.

4 0

3 years ago

if you were to solve the following system by substitution what would be the best variable to solve and from what equation? 2x+8y

Nina [5.8K]

All the numbers in the first equation have a common factor of 2. Removing that gives
.. x +4y = 6
making it easy to solve for x
.. x = 6 -4y

My choice would be to solve for x using the first equation.

_____
On second thought, it might actually be easier to solve either equation for 8y. That term then directly substitutes into the other equation (equivalent to adding the two equations).
.. 8y = 3x -11 . . . . . from the second equation
.. 2x +(3x -11) = 12 . . . substituting into the first equation
.. 5x = 23 . . . . . . . . . . collect terms, add 11 (what you would get by adding the equations in the first place)
.. x = 4.6
.. y = (3*4.6 -11)/8 = 0.35

4 0

3 years ago