⦁ The function p (w) = 230(1.1)w represents the number of specialty items produced at the old factory w weeks after a change in management. The graph represents the number of specialty items produced at the new factory during the same time period. 10 points

⦁ During Week 0, how many more specialty items were produced at the old factory than at the new factory? Explain.
⦁ Find and compare the growth rates in the weekly number of specialty items produced at each factory. Show your work.
⦁ When does the weekly number of specialty items produced at the new factory exceed the weekly number of specialty items produced at the old factory? Explain.

you will get 10 points

Answer:

Bag a, by 85 grams!

Step-by-step explanation:

1) Work out the weight of bag a

1 banana is 140 grams so to find out 8 you have to multiply them

140 x 8 = 1120

Bag a = 1120 grams

2) Work out the weight of bag b

1 pineapple weight 345 grams so to find out 3 you have to multiply them just like above

345 x 3 = 1035

Bag b = 1035

3) Find the difference

Bag a is 1120 grams and bag b is 1035

To find out out by how much you just have to subtract them

1120 - 1035 = 85

Hope this helps, have a great day!

The UCLR (Upper Control Limit) and LCLR(Lower Control Limit) are 2.22 and 0 respectively.

Given that,

At five soups that were chosen at random, average temperatures were recorded. X-bar and r-bar positions were 45.25 degree and 1.05 degree, respectively.

To find : UCLR (Upper Control Limit) and LCLR (Lower Control Limit)

R-bar = 1.05 Degrees

X-bar = 45.25 Degrees

Sample Size , n=5

D3=0

D4=2.114

3 Sigma control limits of Range Chart

LCLR = D3*R-bar = 0*1.05 =0

UCLR =D4*R-bar = 2.114*1.05 = 2.22

The UCLR (Upper Control Limit) and LCLR (Lower Control Limit) are therefore 2.22 and 0, respectively.

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Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}\implies 15^2=x^2+(x+3)^2 \\\\\\ 225=x^2+(x^2+6x+9)\implies \implies 225=2x^2+6x+9 \\\\\\ 0=2x^2+6x-216\implies 0=2(x^2+3x-108) \\\\\\ 0= x^2+3x-108\implies 0=(x-9)(x+12)\implies x= \begin{cases} 9 ~~ \checkmark\\\\ -12 \end{cases}[/tex]

let's notice that "x" does have two valid values, however for this scenario 'x" cannot be negative, so we don't use that one.

Answer:

the shorter leg = 9mm

the longer leg = 12mm

the hypotenuse is 15mm

Step-by-step explanation:

x^2 +(x+3)^2 =(x+6)^2

x^2 + x^2 + 6x +9=x^2 + 12x +36

x^2-6x-27=0

(x+3)(3-9)=0

x=-3 (impossible) ... or x=9

Answer:

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

Answer:

Step-by-step explanation:

Solution:To write a polynomial in standard form, simplify and then arrange the terms in descending order.Expand ( x2 − 9 )( x + 2 ) using the FOIL Method.Simplify each term.

The initial amount of the deposit is $7234.23

Compound interest is calculated on a deposit's or a loan's initial principal as well as the accrued interest from earlier periods. Compound interest's impact is frequency-dependent. The most frequent compounding occurs with continuously compounded rewards. The mathematical maximum that compound interest can achieve is continuous compounding. Since most interest is compounded on a monthly, quarterly, or semiannual basis, this is an extreme example of compounding.

For compound continuous problems, we use the formula [tex]A = Pe^{rt}[/tex]

where A = final amount

P = principal amount invested

e = exponent

r = rate of interest

t = time period in years

[tex]12680 = Pe^{.08(7)} \\12680 = Pe^{0.56}\\ 12680 = P*1.7506\\[/tex]

P = $7243.23

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After using proportion method 325 calories will she get if she drinks the larger 20 oz. size.

What is proportion?

 Ratio and fractions are the main bases on which proportion is explained. Two ratios are equal when they are expressed as a fraction in the form of a/b, ratio a:b, and then a proportion. In this case, a and b can be any two integers. The ratio and proportion are important building blocks for understanding the numerous ideas in science and mathematics. Numerous challenges in daily life can be solved with proportion, including those in business when handling transactions or in the kitchen, among other situations. It creates a relationship between two or more quantities and aids in comparing them.

Here 16 oz medium size has 260 calories.

Then

=> [tex]\frac{size of coffee}{ calories}[/tex]

=>[tex]\frac{16}{260}=\frac{20}{x}[/tex]

=>x=[tex]\frac{20*260}{16}[/tex]

=> x = 325

Hence 325 calories will she get if she drinks the larger 20 oz. size.

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Based on the information, the person traveled 117.8 feet by the Ferris wheel.

Circumference = π×diameter

Keep the values in formula and perform multiplication to find the circumference of the wheel

Circumference = 50π

On 1 complete revolution of 360 degrees, the distance covered = 50π

So, revolution of 270 degrees, the distance covered will be = (50π/360) × 270

Performing multiplication and division on Right Hand Side of the equation

The distance traveled = 117.8 feet

Hence, the person travelled 117.8 feet.

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Answer:

-24

Step-by-step explanation:

b²-2ac

⇒Plug in the values given in places and simplify.

[tex]=(-4)^{2} -2(-4)(-5)\\=16-2(20)\\=16-40\\=-24[/tex]

-24 is the answer after substitution of the known values.

1. No This survey does not mean that cell phones are good for your health.

2. The factor that can be used as the best explanation for the strong correlation would be the general economic conditions of the people.

When one variable's value rises, the other variable's value also rises in a similar way. For instance, a student's exam score tends to be greater the more hours they study. Exam results and study time have a significant positive link.

A strong correlation, also known as a high correlation, indicates that two or more variables have a significant relationship with one another, whereas a weak or low correlation indicates that the variables are rarely associated.

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complete question

A survey of the world's nations in 2004 shows a strong positive correlation (hence, a positive association) between percentage of the country using cell phones and life expectancy in years at birth.

a. Does this mean that cell phones are good for your health? select one: ____ yes ____ no

b. What might best explain the strong correlation (as a lurking variable)?

Select one:

_____ Percent of young people

____ General economic conditions of the country

____ Percent of pop. living in cities

Answer:

  see the attachment

Step-by-step explanation:

You want a graph of the given figure reflected over the line y = 1/3x +1.

The given line of reflection can be written in general form as ...

  y = 1/3x +1

  3y = x +3 . . . . . . multiply by 3

  x -3y +3 = 0 . . . . subtract 3y

This is in the general form ...

  ax +by +c = 0

where a=1, b=-3, c=3.

The line of reflection is the perpendicular bisector of the segment joining a point (x, y) with its reflection (x', y').

Using the formula in the second attachment, we find the reflection

  (x1, y1) ⇒ (x, y)

satisfies ...

  (x -x1)/a = (y -y1)/b = -2(ax1 +by1 +c)/(a² +b²)

or ...

  x = -2a/(a²+b²)·(ax1 +by1 +c) +x1

  y = -2b/(a²+b²)·(ax1 +by1 +c) +y1

Using the known values for a, b, c, we have ...

  x = -2(1)/(1² +(-3)²)·(x1 -3y1 +3) +x1 = (1/5)(4x1 +3y1  -3)

  y = -2(-3)/10·(x1 -3y1 +3) +y1 = (1/5)(3x1 -4y1 +9)

Rewriting the mapping in more conventional terms, we have ...

  (x, y) ⇒ ((4x +3y -3)/5, (3x -4y +9)/5)

It is convenient to let a spreadsheet do the repetitive tedious math. The third attachment shows the application of this mapping to the coordinates of the figure's vertices (clockwise from bottom).

__

Additional comment

The figure showing the reflected polygon was created by a geometry program using its "reflect over a line" feature.

Answer:

0

Step-by-step explanation:

[tex]m=\frac{-21-(-21)}{-14-36}[/tex]

Answer: slope = 0  

Step-by-step explanation:

slope = Δy ÷ Δx = (-21 - (-21)) / (-14 -36) = 0 / -5 = 0

It's a horizontal line

Probability for the given condition P (Junior / Girl ) from the given table of classroom of students is equal to 1/6.

As given in the question,

From the given table we have,

Total number of girls and boys in the class = 30

Total number of boys in class = 12

Total number of girls in class = 18

As per given Hint: P(A/B) = P(A and B) / P(B)

A is the Junior

B is the girl

Probability as per given condition is:

P(Junior / Girl) = P(Junior and girl) / P(girl)

                       = (3/30) / (18/30)

                       = 3/18

                       = 1/6 ( lowest term of fraction)

Therefore, probability for the given condition P (Junior / Girl ) from the given table of classroom of students is equal to  1/6.

The complete question is:

Find P(Junior / Girl)         Hint: P(A/B) = P(A and B) / P(B) .

Classroom of Students

                            Boys     Girls

Freshman              4            4         8

Sophomore           5             7         12

Junior                    2             3           5  

Senior                    1            4           5            

                             12           18

Reduce your fraction to lowest terms.

Enter the number that belongs in the green box.

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Answer:

9

Step-by-step explanation:

Pythagorean triples. 3, 4, 5. Multiply by 3 and get 9.

Answer:

C

Step-by-step explanation:

If you look at a number line, you can see that numbers with greater values are to the right of numbers with smaller values.

-8 is to the left of -7 on a number line so it is not greater

9 is to the right of 3 on a number line so it is not smaller

0 is to the right of -3 on a number line so it is greater

And lastly, 0 is to the left of 4 on a number line so it is not greater

The required weight of the flour is 28.125 ounces.

A recipe calls for 15 ounces of flour for every 8 ounces of milk. It is given that we use 15 ounces of milk. Then we need to calculate the weight of flour we need to use.

The ratios of the ingredients must remain in equal proportions. The fraction of one divided by the other is referred to as the ratio. A proportion is an equation that equates two ratios. We will use the unitary method. Let the weight of the flour required be denoted by the variable "w". A variable is a quantity that can change in a mathematical problem or experiment.

w = (15/8)*15

w = 28.125

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The concurrency statement for the given triangles is that (D) △RGB ≅ △DCS  under ASA condition.

So, the congruence statement of the given 2 triangles is as follows:

△RGB ≅ △DCS

Hence, △RGB ≅ △DCS  under ASA condition.

Therefore, the concurrency statement for the given triangles is that (D) △RGB ≅ △DCS  under ASA condition.

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A) 1,100 hours is equal to approximately 104days in Saturn.

B) You need to know how hours make 1day in Saturn. i.e 10 hours 34minutes or 10.567hours.

From the question note that the number of hours in one day is different for each planet.

Hence for Saturn;

1 day =  10hours.34minutes

X day   =1,100 hours

Note; 34 minutes in hours will be:

60 minutes  =1hour

34/60      =0.567hour

Thus;

10hours.34minutes   =   10hours +0.567hour

                                   =10.567hours

To find the number of days in 1,100 hours, we cross multiply;

X day  * 10.567hours =1,100 hours * 1 day

       X day  =     1,100 hours * 1 day

                               10.567hours

       X day    =104.1  ≈ 104 days

Therefore, you need to know the number of hours that makes a day in Saturn.i.e 10 hours 34minutes or 10.567hours.

.  Again, 1,100 hours is equal to approximately 104days in Saturn.

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The  line with a slope of –5 that passes through the points (7,–2) and (8,q) has q as -7.

The equation of a line can be described as follows:

y = mx + b

where

Therefore, the line passes through  (7, –2) and (8, q) with a slope of - 5.

Hence, let's find q.

y = - 5x + b

Let's find y-intercept

-2 = -5(7) + b

b = -2  + 35

b = 33

Therefore,

y = -5x + 33

Hence, let's find q.

y = -5(8) + 33

q = -40 + 33

q = -7

Therefore, q = - 7

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The margin of error with 80% confidence interval is 2.099

Given that,

A straightforward random sample of 25 observations is taken from a population that is normally distributed and has a standard deviation of 8.2.

To find : The margin of error with 80% confidence

Margin of Error : The margin of error is a statistic that describes how much random sampling error there is in survey results. One should have less faith that a poll's findings would accurately reflect those of a population census the higher the margin of error.

Here we have

n=25,σ=8.2

For 80% confidence interval, the critical value of z is 1.28. So requried margin of error is

ME=[tex]Z_{c}\cdot \frac{\sigma}{\sqrt{n}}[/tex]=1.28[tex]\cdot \frac{8.2}{\sqrt{25}}[/tex]=2.0992

Thus, with 80% confidence, the error margin is 2.099.

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Answer: y=3x-5

Step-by-step explanation:

This was the answer i got after solving

Hope that helped :)

Screenshot is the proof of the answer btw :)

An matrix A is a nilpotent matrix if there exists a positive integer k such that Ak is the zero matrix.

acc to our question-

Hence,An matrix A is a nilpotent matrix if there exists a positive integer k such that Ak is the zero matrix.

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The equation of the line that passes through the points (-7,-5) and (2, 3) is y = (8/9)x - 11/9

The first point = (-7, -5)

The second point = (2, 3)

The slope of the line m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the values in the equation

The slope of the line m = (3- (-5) / (2 - (-7))

= (3 + 5) / (2 + 7)

= 8 / 9

The slope intercept form is

y = mx + b

Where m is the slope of the line

b is the y intercept

The point slope form is

[tex]y-y_1=m(x-x_1)[/tex]

The point = (2,3)

Substitute the values in the equation

y - 3  = (8/9)(x - 2)

y - 3 = (8/9)x - 16/9

y = (8/9)x - 16/9 + 3

y = (8/9)x - 11/9

Hence, the equation of the line that passes through the points (-7,-5) and (2, 3) is y = (8/9)x - 11/9

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Answer:

3/4,. it's means for every 4 games there's a $3 fee

Step-by-step explanation:

3/4

it's means for every 4 games there's a $3 fee

Answer:

4 students for newspapers & 3 students for magazines are needed for the deliveries to be made in a day.

Step-by-step explanation:

According to the question,

So, In 8 hours each student can deliver:

35 × 8 = 280 newspapers

50 × 8 = 400 magazines

To find out minimum number of students needed to work we need to divide work done by each student in 8 hours by total deliveries to be made.

[tex] \therefore[/tex]

For Newspapers:

875/280 = 3.125

So, by rounding of the figure we will need 4 students to deliver newspapers as each student can work only for 8 hours.

For magazines:

1200/400 = 3

3 students are needed to deliver magazines.

The value of x and y is 7 and -2 respectively.

The equations to solve are -

On adding equations 1 and 2 we get ,

3y = -6

y = -2

Putting the value of y in equation 1,

⇒ x - 2(-2) = 11

⇒ x + 4 = 11

⇒ x = 7

Hence ,the value of x and y is 7 and -2 respectively.

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The first statement is false and the second statement is true.

Probability is the branch of discrete mathematics. It is used for calculating how likely an event is to occur or happen. There are two types of random variables.

A random variable that takes a finite number of possible values can be defined as a Discrete random variable. A random variable that takes an infinite number of possible values can be defined as a Continuous random variable. A continuous random variable consists of only continuous values.

Continuous random variables are defined at intervals of values. Continuous random variables are represented by the area under a curve.

⇒  The number of cars that go through the drive-in window at a local bank each hour.

The number of cars can be counted and can be an integer like 10, 20,100 etc.

∵ The number of cars is countable it is not an example of a continuous random variable        

⇒ The high daily temperature in Anchorage.

High daily temperature can be an integer or function like 60°, 120° etc

∵ The high daily temperature is an example of a continuous random variable.

Therefore, The number of cars that go through the drive-in window at a local bank each hour is not an example of a continuous random variable and The high daily temperature in Anchorage is an example of a continuous random variable.

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The complete question is