How many pairs of parallel edges are there this rectangular prism

Answer:

a) \(\vec{F_{c}}=mR\omega^{2}\)

\(\vec{F_{c}}=9.53 \: N \vec{r}\)

b) \(|\vec{F_{c}}|=9.53 \: N \)

Step-by-step explanation:

a) The centripetal force equation is:

\(\vec{F_{c}}=m\vec{a_{c}}\)

\(\vec{F_{c}}=mR\omega^{2}\)

Now, we know that the body makes one revolution every 5 seconds, so we can find the angular velocity:

\(\omega=\frac{1 rev}{5 s}=0.2\: \frac{rev}{s}=1.26\: \frac{rad}{s}\)

\(\vec{F_{c}}=2*3*1.26^{2}=9.53 \: N \vec{r}\)

The centripetal force is a vector in the radius direction.

b) The magnitude of that force will be:

\(|\vec{F_{c}}|=9.53 \: N \)

Answer:

a. Digitalis can expect to make money from selling these processors.

A profit of $118

Step-by-step explanation:

Chance of processor being defective = 11%

Chance that processor isn't defective = 89%

Sales price of processor = $3900

Profit made = $547

Full refund is given for a defective processor ; this means loss of manufacturing or production cost : Sale price - Profit ; $3900 - $547 = $3353

89% of profit - 11% of production cost

0.89*547 - 0.11 * 3353

486.83 - 368.83

= $118

This means a profit of $118

Answer:

3/2

Step-by-step explanation:

Simplify the following:

((4 + 1/5)×5)/14

((4 + 1/5)×5)/14 = ((4 + 1/5)×5)/14:

((4 + 1/5)×5)/14

Put 4 + 1/5 over the common denominator 5. 4 + 1/5 = (5×4)/5 + 1/5:

(((5×4)/5 + 1/5) 5)/14

5×4 = 20:

((20/5 + 1/5)×5)/14

20/5 + 1/5 = (20 + 1)/5:

(((20 + 1)/5)×5)/14

20 + 1 = 21:

(21/5×5)/14

21/5×5 = (21×5)/5:

((21×5)/5)/14

((21×5)/5)/14 = (21×5)/(5×14):

(21×5)/(5×14)

(21×5)/(5×14) = 5/5×21/14 = 21/14:

21/14

The gcd of 21 and 14 is 7, so 21/14 = (7×3)/(7×2) = 7/7×3/2 = 3/2:

Answer:  3/2

Answer:

8 and a half

Step-by-step explanation:

you will divide 42 and the 5

The equation is y = 3x+4.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0

Given:

Customers pay $4 to enter the pumpkin patch.

customers pay $3 per pound for the pumpkins.

let $y be the total cost and there are x weight of pumpkins.

Now, cost of pumpkin for x pound,

= 3x

and the total cost y = 3x+4.

Hence, the equation is  y = 3x+4.

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Answer:

The answer is "".

Step-by-step explanation:

Please find the complete question in the attached file.

We select a sample size n from the confidence interval with the mean \(\mu\)and default \(\sigma\), then the mean take seriously given as the straight line with a z score given by the confidence interval

\(\mu=3.87\\\\\sigma=2.01\\\\n=110\\\\\)

Using formula:

\(z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}\)  

The probability that perhaps the mean shells length of the sample is over 4.03 pounds is

\(P(X>4.03)=P(z>\frac{4.03-3.87}{\frac{2.01}{\sqrt{110}}})=P(z>0.8349)\)

Now, we utilize z to get the likelihood, and we use the Excel function for a more exact distribution

\(=\textup{NORM.S.DIST(0.8349,TRUE)}\\\\P(z<0.8349)=0.7981\)

the required probability: \(P(z>0.8349)=1-P(z<0.8349)=1-0.7981=\boldsymbol{0.2019}\)

Answer:

c

Step-by-step explanation:

Answer:

-0.2857

Step-by-step explanation:

\(\frac{3-5}{9-2}\)  

= -2/7

= -0.2857

Answer:

the slope is 1/2

Step-by-step explanation:

the formula you use for this is (x1 - y1)/(x2 - y2) then after subtracting you will have a fraction and you will have to simplify, so (2-5)/(9-3) + -3/6, then you simplify that to 1/2 and that should give you your answer!

Answer:

the greatest common factor between 110 and 132 is 22

Step-by-step explanation:

hopefully this helps :)

maybe a but the equation seems wrong

Answer:

vertex: (-3,2) because the vertex would be the center point of the parabola

axis of symmetry: x=-3, the axis of symmetry is the the center/split in the parabola.

y-intercept: y= -1, because this is the point where the parabola crosses through the y-axis

Answer:

5 pens

Step-by-step explanation:

$10 - 6$ = $4

$4/$0.80

she can afford 5 pens

Answer: c(t) = -18t + 212

The length of the paper should be taken as the average of the two measurements, which is l = (298 + 294) / 2 = 296 mm.

The uncertainty in the length measurement can be estimated as half of the difference between the two measurements, which is δl = (298 - 294) / 2 = 2 mm. So, the value for l and δl can be expressed as l ± δl = 296 ± 2 mm.

Since the two measurements of the width both give the same value of 210 mm, we can assume that the width measurement has no uncertainty. The value for w and δw can be expressed as w ± δw = 210 ± 0 mm.

The area of the paper can be calculated as A = w × l = 210 × 296 = 62040 mm^2.

The uncertainty in the area can be estimated as the product of the uncertainties in the length and width measurements, which is δA = δw × l + w × δl = 0 × 296 + 210 × 2 = 420 mm^2. So, the area and its uncertainty can be expressed as A ± δA = 62040 ± 420 mm^2.

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Answer:

Below

Step-by-step explanation:

Line AB is of the form y = mx + b    where m is the slope = 2

 Line BC is perpendicular to this and will have slope - 1/m = - 1/2   and includes the point C (0,6)

 The point slope form of line BC will then be

     ( y-6) = - 1/2 ( x - 0)    which can be re-arranged to

       y = - 1/2x + 6     < ==== equation for line BC

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer:

(a) After 9 months, the unpaid balance is $125,874.09.

(b) Over the 9 months, she paid a total of $4,918.56 in interest.

To create the amortization table, we can use the formula for calculating the monthly payment of a loan:

P = (r * A) / (1 - (1 + r)^(-n))

where:

P = monthly payment

r = monthly interest rate

A = loan amount

n = total number of payments

In this case, we have:

A = $128,000.00

n = 25 years * 12 months/year = 300 months

r = 5.3% / 12 = 0.00441666667

Using the formula, we can calculate the monthly payment:

P = (0.00441666667 * $128,000.00) / (1 - (1 + 0.00441666667)^(-300))

P = $770.82

Now, we can create the amortization table:

Answer:

6/8 of a chapter

Step-by-step explanation:

3/8 = 1/2 of an hour

1/2 + 1/2 = 1

Basic Fact ^^

So, we need to add 3/8 + 3/8 or 3/8 x 2

We get : 6/8

He didn't read a whole chapter but he did read 6/8 of a chapter.

Answer:

Step-by-step explanation:

There are 60 min in an hour - 1/5 of an hour=20mim

3/8 x 5 = 15/8 = 1 & 7/8 chapters

Answer:

Part A:  $45, Part B:  $8

Step-by-step explanation:

Part A: 60 - 10 = 50

50 * 0.30 = 15

60 - 15 = $45

Part B:  60 * 0.30 = 18

18 - 10 = $8

Answer: part a: $35

part b $32

Step-by-step explanation:

Answer:

-2x+y

Step-by-step explanation:

9a^2 - 9

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From left to right for the tables :

\(1) \: \: \: \: y = 4x + 2\)

And

\(2) \: \: \: \: y = 3x - 12\)

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To find the solution we need to take equal above equations .

\(4x + 2 = 3x - 12\)

Subtract sides 3x

\( - 3x + 4x + 2 = - 3x + 3x - 12 \\ \)

\(x + 2 = - 12\)

Subtract sides 2

\(x + 2 - 2 = - 12 - 2\)

\(x = - 14\)

Thus the x-coordinate of the solution must be -14 which is just in the last option.

Thus the correct answer is the last one.

Done...

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The value of the function F(3) will be 1/125. It is obtained by putting the value 3 in the place of x.

A connection between independent variables and the dependent variable is defined by the function. Functions help to represent graphs and equations.

A function is represented by the two variables one is dependent and another one is an independent function. The relation between them is shown as y if dependent and x is the independent variable.

F(x)=(1/5)ˣ

F(3)=(1/5)³

F(3)=1/125

Hence, the value of the function F(3) will be 1/125.

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Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Answer:

It's 96%

Step-by-step explanation:

Just took the test

The profit from the store in town B compared with the profit from the store in town A is the ratio represented by 96%.

The ratio is the simplest form of a fraction involving two quantities determining each other. It is written as a:b, read as "a is to b", and functions as a/b.

In the question, we are given that a business owner opens one store in town A. The equation p(x)= 10,000(1.075)^t represents the anticipated profit after t years. The business owner opens a store in town B six months later and predicts the profit from that store to increase at the same rate.

We are asked to assume that the initial profit from the store in town B is the same as the initial profit from the store in town A and find the comparison between the profits from the store in town B to the store in town A.

We take the time for the store in town A as t1.

Then the time for the store in town B is t1 - 0.5, as store in town B is opened 6 months after the store in town A.

To compare the profits, we take the ratio of the profits from the stores.

= Profit from the store in town B/Profit from the store in town BA

= 10,000(1.075)^(t1 - 0.5)/10,000(1.075)^t1

= (1.075)^(t1 - 0.5 - t1)

= 1.075^(-0.5)

= 1/(1.075)^0.5

= 0.96448

= 96% (approx.)

Therefore, the profit from the store in town B compared with the profit from the store in town A is the ratio represented by 96%.

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Answer:

Step-by-step explanation:

To find the relative minimum and maximum, find the first derivate of the following function:

Derivating, using the derivative of a sum is equal to the sum of the derivatives. f'(x)=g'(x)+h'(x)

A relative maximum point is a point where the function changes direction from increasing to decreasing. Similarly, a relative minimum point is a point where the function changes direction from decreasing to increasing.

Equalize the first derivable to 0.

Then, the x-coordinate of the relative minimum is x=1/4, and the x-coordinate of the relative maximum is x=0.

The inflection point is a point of a curve at which a change in the direction of curvature occurs. To find the inflection points, find the second derivate and solve for equals 0:

Length is 33.33 feet and width is 25 feet are dimensions should

be used so that the enclosed area will be a maximum.

The area of Rectangle is length times of width

Given that, a rancher has 200 feet of fencing to enclose two adjacent rectangular corrals of the same dimensions.

Here, the dimensions of the rectangles are the same.

The width of the two rectangles is W=2W+2W=4W

The length of the two rectangles is L=L+L+L=3L

Because the adjacent side has a common length.

3L+4W=200

3L=200-4W

Divide both sides by 3

L=(200-4W)/3

Let us form an equation using the area of rectangle formula:

A=2LW

=2(200-4W)/3.W

A=400-8W²/3

Let us differentiate to get the area to be maximized dA/dW=0

1/3×(400-8W²)=0

1/3(400-16W)=0

400-16W=0

400=16W

Divide both sides by 16

W=25

The width is 25 feet.

Substitute W value in equation to get L value:

L=200-4×25/3

=200-100/3

=100/3

=33.33

The length is 33.33 feet.

Now let us find the maximum area

A=2LW

=2×33.33×25

=1666.66

Hence, length is 33.33 feet and width is 25 feet are dimensions should

be used so that the enclosed area will be a maximum.

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Taking point (0,-2) of graph one and replacing in the equation;

2x+3y=6

2(0)+3(-2)=6

-6=6

So graph isn't the required graph.

Taking point (0,2) of graph 2;

2x+3y=6

2(0)+3(2)=6

6=6

So, graph 2 is the required graph.

Answer:

nice

Step-by-step explanation:

Answer:

10w≥200

10/10≥200/10    10 cancels

w≥20

Step-by-step explanation: