A factory has a 20% probability of having an accident. About every how many years might the factory expect to have an accident?

Answer:

no because nkow one can explain

a rectangle has two even size the other two even sides a square has four even sides and square is a rectangle but a rectangle isn't a square

Answer: leahcool08 is right

Step-by-step explanation:a rectangle has two even size the other two even sides a square has four even sides and square is a rectangle but a rectangle isn't a square

\(\cfrac{3}{5}\div\cfrac{3}{7}\implies \cfrac{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{5}\cdot \cfrac{7}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{7}{5}\implies 1\frac{2}{5}\)

Answer:

y=\(\frac{-4}{6}\)x+4

Step-by-step explanation:

The equation for a line can be written as y=mx+c, where m is the slope and c is the y-intercept (the value of y when x=0).

Given one of the points is (0,4), we know that when x=0, y is 4. This is our y-intercept.

The slope of a line with two points (\(x_{1}\),\(y_{1}\)) and (\(x_{1}\),\(y_{1}\)) can be found using the equation m=\(\frac{y_{2}-y_{1} }{x_{2} -x_{1} }\). Our two points are (0,4) and (-6,8), so let's use these to find the slope:

m=\(\frac{y_{2}-y_{1} }{x_{2} -x_{1} }\)

m=\(\frac{8-4}{-6-0}\)=\(\frac{4}{-6}\)

Since we know the slope and y-intercept we can write the equation:

y=mx+c

y=\(\frac{-4}{6}\)x+4

Answer:

4005

Step-by-step explanation:

3,998 - (-7) = ?

Two negative signs will make a positive sign.

3,998 - (-7) = 3998 + 7 = 4005

So, the answer is 4005

We can see that the correct equation that can depict the problem is 3(d+17.20) = 782.07. Option D

We have to look at the problem that we have here. In the case of the question that we have been asked, we can see that for the problem that has been given here, it is clear that; Allison went on a business trip and stayed at a hotel for three nights. She paid a total of $782.07 for the room and to park her car.

If it is known that Each night, the hotel charged d dollars and $17.20 for parking. We can say that let the amount that is charged for the lodging be d and we have the equation as; 3(d+17.20) = 782.07.

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Answer:

6.

in 24/4=6,

24 is the dividend

4 is the divisor

6 is the quotient

in 4*6 = 24,

4 and 6 are the factors

24 is the product

7. division is an operation on two numbers to find the quotient

8. fact family is a group of related facts using the same numbers

9. multiplication is an operation on two numbers to find the product

Answer:

6. 24/4 = 6

7.24

8.4

9.6

4 * 6 = 24,

4 și 6 sunt factorii

24 este produsul

7. împărțirea este o operație pe două numere pentru a găsi coeficientul

8. familia de fapte este un grup de fapte conexe care utilizează aceleași numere

9. multiplicarea este o operație pe două numere pentru a găsi produsul

Step-by-step explanation:

Answer:

a. C(1,000) = 420,491.11

b. c(1,000) = 420.49

c. dC/dx(1,000) = 429.72

d. x = 900

e. c(900) = 420

Step-by-step explanation:

We have a cost function for x units written as:

\(C(x) = 54,000 + 240x + 4x^{3/2}\)

a. The total cost for x=1000 units is:

\(C(1,000) = 54,000 + 240(1,000) + 4(1,000)^{3/2}\\\\C(1,000)=54,000+240,000+4\cdot 31,622.78\\\\C(1,000)=54,000+240,000+ 126,491.11 \\\\C(1,000)= 420,491.11\)

b. The average cost c(x) can be calculated dividing the total cost by the amount of units:

\(c(1,000)=\dfrac{C(1,000)}{1,000}=\dfrac{ 420,491.11 }{1,000}= 420.49\)

c. The marginal cost can be calculated as the first derivative of the cost function:

\(\dfrac{dC}{dx}=240(1)+4(3/2)x^{3/2-1}=240+6x^{1/2}\\\\\\\dfrac{dC}{dx}(1,000)=240+6(1,000)^{1/2}=240+6\cdot 31.62=429.72\)

d. This value for x, that minimizes the average cost, happens when the first derivative of the average cost is equal to 0.

\(c(x)=\dfrac{C(x)}{x}=\dfrac{54,000+240x+4x^{3/2}}{x}=54,000x^{-1}+240+4x^{1/2}\\\\\\ \dfrac{dc}{dx}=54,000(-1)x^{-2}+0+4(1/2)x^{-1/2}=0\\\\\\\dfrac{dc}{dx}=-54,000x^{-2}+2x^{-1/2}=0\\\\\\2x^{-1/2}=54,000x^{-2}\\\\\\x^{-1/2+2}=54,000/2=27,000\\\\\\x^{3/2}=27,000\\\\\\x=27,000^{2/3}=900\)

e. The minimum average cost is:

\(c(900)=54,000(900)^{-1}+240+4(900)^{1/2}\\\\c(900)=60+240+120\\\\c(900)=420\)

Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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Answer:

the pentagon (3rd one)

Step-by-step explanation:

definition of a quadrilateral literally means a shape with 4 sides

Answer:

DL/dt = 1000 miles/hour

Step-by-step explanation:

Let´s call A Point for the airplane at 70 miles from the point O (converging point), and point B for the airplane at 240 miles from point O.

Then the three-points A, B, and O shape a right triangle with legs (distances from each of the airplane to point O, and hypotenuse L distance between the two airplanes

Then according to Pithagoras´theorem:

L²  =  (AO)²  + (BO)²

At the moment t when the airplanes are far away as 70 and 240 miles per hour

L²  = (70)²  + ( 240)²

L²  = 4900 + 57600

L = √62500

L = 250 miles

In general

L²  = x² + y²

That equation is always valid for a right triangle if the airplanes are approaching keeping the right triangle shape then:

L² = x² + y²        where x and y are the legs ( that legs change in time then):

Tacking derivatives on both sides of the equation

2*L*DL/dt = 2*x*Dx/dt + 2*y*Dy/dt

By substitution:    since Dx/dt = 280 m/h   and Dy/dt = 960 m/h

2*(250)*DL/dt = 2*70*280 + 2*(240)*960

500*DL/dt  =  39200 + 460800

DL/dt  =  500000/ 500

DL/dt = 1000 miles/hour

Answer:

24m

Step-by-step explanation:

The distance from the top of the tank to the plate is the hypotenuse of the right angled triangle

\( \sin( \alpha ) = \frac{opp}{hyp} \)

\( \sin(27.5) = \frac{16.5}{x} \)

\(0.6992 = \frac{16.5m}{x} \)

\(x = \frac{16.5}{0.6992} \)

\(x = 23.59m\)

\(x = 24m \: (nearest \: \: metres\)

Answer:

Step-by-step explanation:

step one:

Given that she buys at the rate of  $5.50 per t-shirt

And she also bought 6 more chains than T-shirts at $3.25 per Keychain

step two:

The expression represents the total cost of the purchases Made by Mary

step three:

we can write the expression for the total cost as

C= 5.50+3.25( 6)

by further simplifying we have

C= 5.50+19.5

C=$25

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

a₄=8n+1= -39.

Step-by-step explanation:

1) if a₁=3n; a₃=5n-6 and a₅=11n+8, then it is possible to calculate the difference according to 0.5(a₅-a₃)=0.5(a₃-a₁). Then

2) 0.5(11n+8-5n+6)=0.5(5n-6-3n); ⇔ 6n+14=2n-6; ⇔ n= -5.

3) if n=-5, then the 4th term is:

\(a_4=\frac{a_5+a_3}{2}; \ = > \ a_4=\frac{11n+8+5n-6}{2}=8n+1;\)

or a₄=-39.

Option A is correct. The value of function (f/g)(x) is found to be  \(\sqrt[3]{3x}\)/(3x+2) where the condition is that  x ≠  -2/3.

In mathematics, function composition is an operation in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

The new function obtained by performing f first and then g is the combination of two functions g and f.

Given:

f(x) = \(\sqrt[3]{3x}\)

g(x) = 3x + 2

(f/g)(x) =  \(\sqrt[3]{3x}\)/(3x+2)

Also, the denominator should not be equal to 0.

So, 3x + 2 ≠ 0

     x ≠  -2/3

Therefore, the value of function  is found to be  \(\sqrt[3]{3x}\)/(3x+2) where the condition is that  x ≠  -2/3. So, Option A is correct

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The graph of the piecewise function is the one in option D-

First, we know that:

f(x) = 4  when x ≤ 3

So, we want to have a horizontal line in the left side of the graph, such that it ends in a closed circle at x = 3 (we need to have a closed circle because the symbol ≤ is used).

From the given graphs, the only one with that form is D.

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Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.

To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:

A = \(Pe^(^r^t^)\)

where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.

In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:

640 = \(Pe^(^0^.^0^3^5^*^9^)\)

640 = Pe^0.315

P =\(640/e^0^.^3^1^5\)

P = 432.43

Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.

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Step-by-step explanation:

Using the rule of  P E D M A S  :

=3 + (4)  x (-9)

 = 3 - 36 = -33

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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Answer:

Speed is distance divided by time, Answer 750cm/h

Step-by-step explanation:

First we need to start by changing Meters to Centimeters

We know that 1 meter is = 100 centimeters

So 100x180= Distance traveled in Centimeters

18000=Distance traveled in Centimeters

Distance is 18000cm

Time is 24hr

Distance/Time= Speed

18000/24= Speed

Speed = 750cm/h

Answer: 0

Step-by-step explanation:

The inverse property is basically the opposite of the number

Answer:

\(\huge\boxed{\tt{x = 24, y = 17}}\)

Step-by-step explanation:

Let the greater number be x and the smaller number be y.

So,

Condition # 1:

x - y = 7 --------------(1)

Condition # 2:

3x = 72 --------------(2)

Taking Eq. (2)

3x = 72

Divide both sides by 3

x = 72 / 3

x = 24

Now, Put x = 24 in Eq. (1)

24 - y = 7

Subtract 24 to both sides

-y = 7 - 24

-y = -17

y = 17

\(\rule[225]{225}{2}\)

Hope this helped!

Complete question :

Alligators perform a spinning maneuver, referred to as a "death roll," to subdue their prey. In a study of alligator death rolls, one of the variables measured was the degree of the angle between the body and head of the alligator while performing the roll. A sample of 20 rolls yielded the data provided below, in degrees. At the 1% significance level, do the data provide sufficient evidence to conclude that, on average, the angle between the body and head of an alligator during a death roll is greater than 45 ? Note: x =46.255° and s = 12.251° Preliminary data analyses indicate that you can reasonably use a t test to conduct the hypothesis test.

Answer:

H0 : μ = 45

H1 : μ > 45

T statistic = 0.4472

Pvalue = 0.3299

We fail to reject the Null

Step-by-step explanation:

H0 : μ = 45

H1 : μ > 45

Test statistic, T :

(xbar - μ) ÷ (s/√n)

(46.225 - 45) ÷ (12.251/√20)

1.225 ÷ 2.7394068

= 0.4472

Using the Pvalue calculator, the Pvalue can be obtained using the test statistic and degree of freedom

Degree of freedom, df = 20 - 1 = 19

Tscore = 0.4472

α = 0.01

Pvalue = 0.3299

Pvalue > α

0.3299 > 0.01 ; Hence, we fail to reject the Null

We fail to reject the Null; The data does not provide sufficient evidence to conclude that average angle between alligator's body and its head is greater than the 45

Answer:

\(w^{22}\)

Step-by-step explanation:

\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)

The argument in the given statement is a deductive argument. The criteria for this interpretation is the form of argumentation, specifically the inferential link between the premises and conclusion.

In a deductive argument, the conclusion logically follows from the premises and, if the premises are true, then the conclusion must be true as well. In other words, the conclusion is necessarily entailed by the premises. In a deductive argument, the conclusion is not just supported by the premises, but it can be derived from them with certainty.

The argument "Ordinary things that we encounter every day are electrically neutral. Therefore, since negatively charged electrons are a part of everything, positively charged particles must also exist in all matter" is an example of a deductive argument because it follows the pattern of deductive reasoning.

The first premise, "Ordinary things that we encounter every day are electrically neutral," provides evidence for the conclusion, "positively charged particles must also exist in all matter." The conclusion is logically entailed by the premises, and if the premises are true, then the conclusion must be true as well.

In this argument, the use of the word "therefore" signals the relationship between the premises and the conclusion. The word "therefore" indicates that the conclusion is a logical consequence of the premises, which supports the interpretation of this argument as a deductive argument.

In conclusion, based on the form of argumentation and the inferential link between the premises and the conclusion, this argument is best interpreted as a deductive argument.

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The intervals during which the ball's height is increasing are: [0, 2.5] and

[5, 7.5]

In a graph, an interval represents a range of values along the x-axis or y-axis. It is a continuous segment of the axis between two points, often used to indicate a particular range of values or a specific time period.

Since the graph represents the height of the ball h in feet after t seconds, we can find the interval during which the ball's height is increasing by examining the slope of the graph.

If the slope of the graph is positive, the height of the ball is increasing. If the slope is negative, the height of the ball is decreasing.

Looking at the graph, we can see that the slope of the graph is positive between approximately 0 and 2.5 seconds, and between approximately 5 and 7.5 seconds.

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Answer:

Below

Step-by-step explanation:

log x = 2 log 6 + log 3    using properties of logs, this becomes

log x = log 6^2 + log 3

       = log (6^2 * 3 ) = log (108)

x = 108