After each charging, a battery is able to hold only 96% of the charge from the previous charging. The battery was used for 10 hours on its first charge before it had to be recharged. What is the total number of hours the battery can be used over its lifetime?

Complete Question

The complete question is shown on the first uploaded image

Answer:

First Question

Option A is correct

Second  Question

Option C is correct

Third   Question

     [tex]D = A^{-1} * B^{-1} * C^{-1}[/tex]

Fourth   Question

  So substituting for D in  (ABC) D =  I

                 [tex](ABC) * A^{-1} * B^{-1} * C^{-1} = I[/tex]

                 [tex]I = I[/tex]

This proof that  ABC is invertible

Step-by-step explanation:

From the question we are told that

   A , B and  C are invertible which means that [tex]A^{-1} , B^{-1}, C^{-1}[/tex] exist

Now

 From the question

          (ABC) D =  I

Where I is an identity matrix

   Now when we multiply both sides by  [tex]A^{-1}[/tex]  we have

          [tex]A^{-1} A BCD = A^{-1} * I[/tex]

          [tex]IBCD = A^{-1}[/tex]

Now when we multiply both sides by  [tex]B^{-1}[/tex]  we have  

         [tex]B^{-1 } *I BCD = A^{-1} * B^{-1}[/tex]

         [tex]I CD = A^{-1} * B^{-1}[/tex]

Now when we multiply both sides by  [tex]C^{-1}[/tex]  we have  

          [tex]C^{-1} * I CD = A^{-1} * B^{-1} * C^{-1}[/tex]

              [tex]I D = A^{-1} * B^{-1} * C^{-1}[/tex]

                 [tex]D = A^{-1} * B^{-1} * C^{-1}[/tex]

So substituting for D in the above equation

                 [tex](ABC) * A^{-1} * B^{-1} * C^{-1} = I[/tex]

                 [tex]I = I[/tex]

This proof that  ABC is invertible

Answer:

12

Step-by-step explanation:

[tex]\dfrac{13+11}{13-11}=\dfrac{24}{2}=12[/tex]

Hope this helps!

Answer:

D

Step-by-step explanation:

The average can be found by dividing the number of pieces (or trucks in this case) by the total, so 3204/8=400.5 pounds, or D as our answer

Answer:

The equation of the least square regression line for predicting selling price from appraised value is:

[tex]\text{Selling Price}=227.0989 + 0.8991\ \text{Appraised Value}[/tex]

Step-by-step explanation:

The general form of the  least square regression line is:

[tex]y=a+bx[/tex]

Here,

y = dependent variable

x = independent variable

a = y-intercept

b = slope

The Minitab output for regressing selling price on appraised value is:

Predictor          Coef       SE Coef       T

Constant      227.0989    95.044    2.389

Appraisal          0.8991       0.133     6.76

S = 88.7959

R-Sq = 76.5%

R-Sq (adj) = 74.9%

The constant term in the regression output represents the y-intercept and the Appraisal coefficient the slope of the regression line.

Then the equation of the least square regression line for predicting selling price from appraised value is:

[tex]\text{Selling Price}=227.0989 + 0.8991\ \text{Appraised Value}[/tex]

Answer:

That may or may not be true, depending one the ship size.

Step-by-step explanation:

'Can't really give a proper answer, to somethings that's not a q. *shrug*

Answer:

I can't really see the whole question, but for a cone the volume formula is πr2h

3

Step-by-step explanation:

Answer:

A

150 pi cubic units

Step-by-step explanation:

Answer:

Substituting the values r = 5 and h = 18 in the formula V=1/3×π⁢r^2⁢h, you get V=1/3×π×52×18 = 150π cubic units.

Step-by-step explanation:

Answer:

1000miles

Step-by-step explanation:

A men travel 585 km on fourth day.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

A man travelled 450 km on the first day and 565,000 m on the second day, the third day he travel double the distance you travel on the first day.

Here, On the fourth day he reached his destination which was 2500km from his starting point.

Let the distance he travel on the fourth day = x

So, We can formulate;

⇒ 450 km + 565,000 m + 2 × 450 km + x = 2500 km

⇒ 450 km + 565 km + 900 km + x = 2500 km

⇒ 1915 km + x = 2500 km

⇒ x = 2500 - 1915

⇒ x = 585 km

Learn more about the addition visit:

https://brainly.com/question/25421984

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Answer:

a) Range =10

b) inter quartile range = 4.5

Step-by-step explanation:

Explanation:-

Given minimum =5

             Median=8

 upper quartile  (Q3) =11.5

Lower quartile range= 7

                Maximum=15

a)  Range = maximum value -minimum value

           = 15 -5

          = 10

b) Interquartile Range = median of upper half - median of lower half

                               =   Q₃- Q₁

                               =   11.5 - 7

                               =   4.5    

Answer:

  B.  If ΔKLM ≅ ΔPQR and ΔPQR ≅ ΔSTU, then ΔKLM ≅ ΔSTU

Step-by-step explanation:

The transitive property in general says ...

  if a=b and b=c, then a=c

The transitive property of congruence replaces the equal sign with a congruence symbol, and replaces a, b, c with any geometric figure. Here, the geometric figures used are triangles KLM, PQR, and STU.

  If ΔKLM ≅ ΔPQR and ΔPQR ≅ ΔSTU, then ΔKLM ≅ ΔSTU

Answer:

1/36

Step-by-step explanation:

The probability of getting green is 1/6

and the probability of getting red is 1/6.

Now,we want to know the probability of getting red and green. In probability,the word 'and' means times.

So it would be;

1/6 times 1/6

= 1/36

Answer:

130

Step-by-step explanation:

60° + 70° = x

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 60 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

60 + 70 = x

→ Simplify

130 = x

x = 130°

Answer:

  signs of the constants in the binomial factors are negative

Step-by-step explanation:

Assuming the first term (a) is positive, the fact that c is negative means the constants in the binomial factors have the same sign. The negative b means that sign is negative.

  2x^2 -7x +6 = (x -2)(2x -3)

__

Further comment

c is the product of the constants in the binomial factors so will be positive when both those constants have the same sign.

b is the sum of the constants in the binomial factors. If both factors have the same sign (c > 0), then those constants have the same sign as b.

In this analysis, "a" is assumed to be positive. If it is not, then the same analysis can be done after reversing all of the signs.

Answer:

48 miles

Step-by-step explanation:

What we must do is calculate the car's performance, that is, the number of miles per gallon of gas, like this:

208/13 = 16

which means that for each gallon of gas you can travel a total of 16 miles.

They tell us they have 3 gallons of gasoline left so they can go:

16 * 3 = 48

If your goal is 42 miles away, that means you can make it and you still have 6 more miles to go.

Answer:

5x - 1

Step-by-step explanation:

f(x) = 3x - 2

g(x) = 2x + 1

(3x - 2) + (2x + 1)

3x + 2x = 5x

-2 + 1 = -1

Answer: 5x - 1

Answer:

graph moves down 6 units​

Step-by-step explanation:

Y intercept of a line is point on y axis where the line crosses the y-axis.

Since the line is of the slope intercept form y = mx+ c

where m is slope of line and c is y intercept

_________________________________________________

Equation of old line : y = 4x + 3

then for equation y = 4x + 3

m: 4 and c = 3

Thus y intercept is +3 unit above the X axis

_________________________________________________

Equation of new line : y = 4x - 3

Similarly based on above explanation

m: 4 and c = -3

Thus y intercept is +3 unit below the X axis.

Thus we can see that y intercept has moved downward

Lets calculate no. of units it moved downward

Distance between them is 3 - (-3) = 6 unit

Thus graph moved 6 units downwards.

Steepness of graph depends on slope of line. The slope is 4 for both the lines and hence there is no change in steepness.

Thus correct answer is graph moves down 6 units​

Answer: y=15x+5

Step-by-step explanation:

Looking at what we are given, we can tell that the y-intercept is 5. To ge tthe slope, you use [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]. With the slope , you get 15.

Answer:

When all side faces are same

surface area = lw + 1/2 × perimeter × slant height.

When the side faces are different

surface area = base area + lateral area

Step-by-step explanation:

The question you ask is the formula one can use to calculate the surface area of a rectangular pyramid.

The  base of a rectangular pyramid is rectangular. The picture below shows how a rectangular pyramid looks like .

The surface area of the rectangular pyramid includes the area of the base and areas of all the triangular faces. This simply implies the area of the rectangular base and the area of each triangular faces. Mathematically, it can be represented below.

The base area(rectangle) = length × width = lw

Area of a triangle = 1/2 × base × height = 1/2bh

Therefore, if all the faces of the triangle are the same(regular pyramid) the total surface area will be

surface area = lw + 1/2 × perimeter × slant height.

Note the triangular faces are 4 in numbers.  

If all the sides of the triangle are different the surface are will be

surface area = base area + lateral area

We have to add the triangular faces individually for an irregular pyramid.

Answer:

b. 424

Step-by-step explanation:

it gives the equation N=41b+137

N=41(7)+137

N=424

Answer:

6x - 18

Step-by-step explanation:

(2x - 6) + 4(x - 3) =

= (2x - 6) + 4x - 12 =

= 2x - 6 + 4x - 12 =

= 2x + 4 - 6 - 12 =

= (2x + 4x) + (-6 - 12) =

= 6x - 18

Answer:

a = 3

b = 12

c = 13

Step-by-step explanation:

[tex] \frac{ {2}^{5}. {8}^{4} }{16} = \frac{ {2}^{5}. { ({2}^{a}) }^{4} }{ {2}^{4} } = \frac{ {2}^{5}. { {2}^{b} } }{ {2}^{4} } = {2}^{c} \\ \\ \frac{ {2}^{5}. {8}^{4} }{16} = \frac{ {2}^{5}. { ({2}^{a}) }^{4} }{ {2}^{4} } \\ \\ \frac{ {2}^{5}. {( {2}^{3}) }^{4} }{ {2}^{4} } = \frac{ {2}^{5}. { ({2}^{a}) }^{4} }{ {2}^{4} } \\ {( {2}^{3}) }^{4} = { ({2}^{a}) }^{4} \\ {2}^{3} = {2}^{a} \\ \huge \red{ \boxed{a = 3}} \\ \\ \frac{ {2}^{5}. {8}^{4} }{16} = \frac{ {2}^{5}. { {2}^{b} } }{ {2}^{4} } \\ \frac{ {2}^{5}. { ({2}^{3} )}^{4} }{ {2}^{4} } = \frac{ {2}^{5}. { {2}^{b} } }{ {2}^{4} } \\ { ({2}^{3} )}^{4} = { {2}^{b} } \\ {2}^{12} = { {2}^{b} } \\ \huge \purple{ \boxed{b = 12}} \\ \\ \frac{ {2}^{5}. {8}^{4} }{16} = {2}^{c} \\ \frac{ 16 \times 2. {( {2}^{3}) }^{4} }{16} = {2}^{c} \\ 2 \times {2}^{12} = {2}^{c} \\ {2}^{13} = {2}^{c} \\\huge \orange{ \boxed{ c = 13}}[/tex]

Answer:

[tex]h=\frac{P}{mg}[/tex]

Step-by-step explanation:

If you divide both sides of this equation by mg, you are left with [tex]h=\frac{P}{mg}[/tex], which is the equivalent solution solved for h. Hope this helps!

Answer:

it's B

Step-by-step explanation:

We're in the screening room of an exotic little San Francisco Bay area production company called Pixar Animation Studios, watching the dailies of a major work-in-progress, director John Lasseter presiding. And not to get too hyperbolic here, but we're witnessing history being made before our very eyes. You've heard of Debbie Does Dallas? Call this Disney Does Digital.

Two years ago, less than a half-dozen feature films employed the use of computer graphics; this year maybe a half-dozen won't use any sort of digital enhancements. If Hollywood has suddenly embraced the computer as a significant (and cost-effective) illusion-making tool, then Disney's Toy Story is arguably the most ambitious computer-generated undertaking yet.

hope this helps!

Answer:

We're in the screening room of an exotic little San Francisco Bay area production company called Pixar Animation Studios, watching the dailies of a major work-in-progress, director John Lasseter presiding. And not to get too hyperbolic here, but we're witnessing history being made before our very eyes. You've heard of Debbie Does Dallas? Call this Disney Does Digital.

Two years ago, less than a half-dozen feature films employed the use of computer graphics; this year maybe a half-dozen won't use any sort of digital enhancements. If Hollywood has suddenly embraced the computer as a significant (and cost-effective) illusion-making tool, then Disney's Toy Story is arguably the most ambitious computer-generated undertaking yet.

Step-by-step explanation:

Answer:

1260cm^2

Step-by-step explanation:

15 times 12 = 180

180 times 7 = 1260

Answer:

a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits

b)

The Standard error of the mean is 0.2328

Step-by-step explanation:

Explanation:-

Given sample size 'n' = 49

The Expected value of the mean of 49 randomly selected students

μₓ = μ =7.06 digits  

b)

The Standard error of the mean determined by

[tex]S.E = \frac{S.D}{\sqrt{n} }[/tex]

Given sample size 'n' = 49

The Standard deviation 'σ' = 1.63 digits

The Standard error

[tex]S.E = \frac{S.D}{\sqrt{n} }[/tex]

[tex]S.E = \frac{1.63}{\sqrt{49} } = 0.2328[/tex]

Final answer:-

a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits

b) The Standard error of the mean is 0.2328

Answer:

a

The probability that the selected joint was judged to be defective by neither of the two inspectors is   [tex]P(A' n B' ) = 0.8855[/tex]

b

The probability that the selected joint was judged to be defective by inspector B but not by inspector A  is  [tex]P(A' n B) =0.0403[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is [tex]n_s = 10000[/tex]

    The number of outcome for inspector A is  [tex]n__{A}} = 742[/tex]

    The number of outcome for inspector B is  [tex]n__{B}} = 745[/tex]

     The number of joints judged defective by both inspector is [tex]n(A u B) = 1145[/tex]

The the probability that the selected joint was judged to be defective by neither of the two inspectors is mathematically represented as

      [tex]P(A' n B' ) = 1 - P(A u B)[/tex]

Now

       [tex]P(A\ u \ B) = \frac{n(Au B)}{n_s }[/tex]

substituting values

        [tex]P(A\ u \ B) = \frac{1145}{ 10 000 }[/tex]

So  

      [tex]P(A' n B' ) = 1 - \frac{1145}{10 000}[/tex]

     [tex]P(A' n B' ) = 0.8855[/tex]

the probability that the selected joint was judged to be defective by inspector B but not by inspector A  is mathematically represented as

     [tex]P(A' n B) = P(A \ u \ B) -P(A)[/tex]

Now

        [tex]P(A) = \frac{n__{A}}{n_s}[/tex]

substituting values

       [tex]P(A) = \frac{742}{10 000}[/tex]

So

     [tex]P(A' n B) = \frac{1145}{10 000} - \frac{742}{10 000}[/tex]

    [tex]P(A' n B) =0.0403[/tex]

Answer:

C = 10 units²

Step-by-step explanation:

AB is 4 units long AC is 5 units long(by distance formula)

call AB and AC the base and height respectively. Multiply them, divide by 2: 4x5=20

20/2 = 10

The amount of NO can be decreased by decreasing the concentration of N2(g).

The term equilibrium refers to the point at which the rate of the forward reaction and the rate of the reverse reaction are the same.

We have the reaction; N2(g) + O2(g) + energy ------>2 NO(g), in order to drive this reaction in the reverse direction, the concentration of N2(g) can be decreased.

Learn more about equilibrium: https://brainly.com/question/14227610

Answer:

[tex]P(4)=7\,,\,P(-9)=-5[/tex]

Step-by-step explanation:

Given:  P(x) has a remainder 1 when divided by  [tex]x-9[/tex], P(x) has a remainder 7 when divided by [tex]x-4[/tex], P(x) has a remainder 0 when divided by  [tex]x+4[/tex] and P(x) has a remainder -5 when divided by [tex]x+9[/tex]

To find: [tex]P(4),P(-9)[/tex]

Solution:

According to remainder theorem, when a polynomial [tex]P(x)[/tex] is divided by a polynomial [tex]x-a[/tex], the remainder obtained is equal to [tex]P(a)[/tex].

As P(x) has a remainder 7 when divided by [tex]x-4[/tex],

[tex]P(4)=7[/tex]

As P(x) has a remainder -5 when divided by [tex]x+9[/tex],

[tex]P(-9)=-5[/tex]