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Flauer [41]
3 years ago
10

A new machine tool is brought into a production line to help speed production. You take 200 seconds to produce the first widget.

By the 400th widget, you reduce the time to only 15 seconds. What is "b" in the formula Tn=T1nb for the learning curve (round to the nearest three decimals)?
a. -0.898
b. 0.454
c. -0.432
d. 0
e. 17

Please explain why
Mathematics
2 answers:
AleksandrR [38]3 years ago
8 0

Answer:

<h2>c. -0.432</h2>

Step-by-step explanation:

The given formula is

T_{n}=T_{1}(n)^{b}

Where T_{1}=200, T_{n} =15 and n=400. (givens of the problem).

Replacing and solving for b , we have

15=200(400)^{b} \\(400)^{b} =\frac{15}{200}= 0.075\\log((400)^{b} )=log(0.075)\\b(log(400))=log(0.075)\\b=\frac{log(0.075)}{log(400)}\\ b \approx -0.432

Therefore, the right answer is c.

lesya [120]3 years ago
5 0

Answer: I think the answer is b

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A 20-gallon container is filled halfway with a mixture that is $90\%$ vinegar and $10\%$ water. How many gallons of water must b
Yuki888 [10]

Answer:

5 gallons of water must be added.

10 gallons to start with

adding 'x' gallons of water      final volume = 10 + x

.9 (10) = amount of vinegar

.1(10) = amount of water

amount of vinegar before and after water addition is constant

.9(10) = .6(10+x)  

9 = 6 + .6x

3 = .6x

x = 5 gallons of water to be added

(i truly hope i helped you

8 0
2 years ago
(-6x + 3) + (X - 7) add linear expressions
Leni [432]
-6x + 3 + x - 7...when ur adding expressions such as this, and there is a plus sign in between them, the parenthesis are not needed.

we now combine like terms...
-6x + x = -5x
3 - 7 = -4

and we are left with : -5x - 4 <==
3 0
3 years ago
The box plots show the math scores of students in two different classes. Based on the box plots, which statement is correct?
Allisa [31]

Based on the box plots, the statement which is correct is that: A. The median score of Class A is greater than the median score of Class B.

<h3>What is a box and whisker plot?</h3>

In Mathematics, a box plot is also referred to as box and whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.

Additionally, the five-number summary of any box plot (box and whisker plot) include the following:

  1. Minimum
  2. First quartile
  3. Median
  4. Third quartile
  5. Maximum

By critically observing the box plot (box and whisker plot) which represent the math scores of students in in two different classes, we can reasonably and logically deduce the following median scores;

Median score of class A = 80

Median score of class B = 75

Therefore, a median score of 80 in Class A is greater than the median score of 75 in Class B.

Read more on box plots here: brainly.com/question/14277132

#SPJ1

6 0
1 year ago
What multiplies to 16 and adds to negative 12
Romashka-Z-Leto [24]
Factor 16 and see the - factor pairs and add them, see which add to -12
-1-16=-17 nope
-2-8=-10 nope
-4-4=-8
hmm


we will solve with math
xy=16
x+y=-12
minus  x both sides
y=-12-x
sub for y in other equation
x(-12-x)=16
-12x-x^2=16
add 12x+x^2 both sides
0=x^2+12x+16
use quadratic formula
if you have
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}


0=x^2+12x+16
a=1
b=12
c=16

x=\frac{-12+/- \sqrt{12^{2}-4(1)(16) }}{2(1)}
x=\frac{-12+/- \sqrt{144-64 }}{2}
x=\frac{-12+/- \sqrt{80}}{2}
x=\frac{-12+/- 4\sqrt{5}}{2}
x=\frac{-6+/- 2\sqrt{5}
x=\frac{-6+ 2\sqrt{5} or \frac{-6- 2\sqrt{5}

aprox
x=-1.52786 or -10.4721

those are the numbers

the numbes are -1.52786 or -10.4721

6 0
3 years ago
Read 2 more answers
Write a polynomial function in factored form w zeros at -2,5,6
AlladinOne [14]

Answer:

B

Step-by-step explanation:

The zeros of a polynomial are the solutions to the function. They are found from the factors. The factors which multiply to make the equation in standard form. To write the factors reverse the process by unsolving the factor.

x = -2 comes from x+2

x = 5 comes from x-5

x = 6 comes from x-6

The factored form is (x+2)(x-5)(x-6).

7 0
3 years ago
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