Combine the like terms to create an equivalent expression -k-(-8k)

A light bulb filament is one-hundredth of an inch thick, with an allowable error of 2 percent. What is the least allowable thick

Andreyy89

Answer:

0.00998 Inches

Step-by-step explanation:

Thickness of the light bulb filament = 0.01 Inch

Allowable error = 2%.

2% of 0.01 = 0.02 X 0.01 =0.0002 Inch

Therefore, the allowable thickness of the bulb filament

$=0.01 \pm 0.0002 $ Inches$

We can then calculate the least allowable thickness of the filament as:

$=0.01 - 0.0002 \\=0.00998$ Inches$

The least allowable thickness of the filament is 0.00998 Inches.

3 0

4 years ago

What is the slope of the line? As soon as possible please !!

mixer [17]

Answer:

$m=\frac{-8}{5}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-1, 4)

Point (4, -4)

Step 2: Find slope m

Substitute [Slope Formula]: $m=\frac{-4-4}{4+1}$
Subtract/Add: $m=\frac{-8}{5}$

5 0

3 years ago

Empathy means being able to understand what others feel. To see how the brain expresses empathy, researchers recruited 16 couple

yulyashka [42]

Answer:

the residual is 0.2032

Step-by-step explanation:

The regression line has been given as:

Y^ = 0.00753X-0.06759

The paired observation for X is (31, 0.369)

The value of X is the empathy score under subject 15 = 31

The value of the brain activity under subject 15 is 0.369

So we have y^ = 0.00753(31) - 0.06759

= 0.1658

Then the residual = y - y^

= 0.369 - 0.1658

= 0.2032

Therefore the residual is 0.2032

Please check the attachment for the table, it will aid you in understanding the solution

4 0

3 years ago

The expected number of heads in 500 tosses of an unbiased coin is:

Lostsunrise [7]

There is a 50%, or 1/2, chance of getting heads on each flip. Each of the 500 trials is independent. Because there is a 1/2 chance of getting heads, you would expect half of them to land on heads. 500/2 = 250. You would theoretically expect 250 heads if you tossed an unbiased coin 500 times.

6 0

3 years ago

the first term of a arithmetic sequence is 2 and the 4th term is 11, how do I find the sum of the first 50 terms

Rama09 [41]

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=2\\
a_4=11\\
n=4
\end{cases}
\\\\\\
a_4=2+(4-1)d\implies 11=2+(4-1)d\implies 11=2+3d
\\\\\\
9=3d\implies \cfrac{9}{3}=d\implies \boxed{3=d}\\\\
-------------------------------\\\\$

$\bf \textit{now, what's the 50th term anyway?}
\\\\\\
n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=2\\
n=50\\
d=3
\end{cases}
\\\\\\
a_{50}=2+(50-1)3\implies a_{50}=2+147\implies a_{50}=149\\\\
-------------------------------\\\\$

$\bf \textit{sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n}{2}(a_1+a_n)\quad 
\begin{cases}
n=50\\
a_1=2\\
a_{50}=149
\end{cases}\implies S_{50}=\cfrac{50}{2}(2+149)$

7 0

4 years ago