The straight line distance between two points is known as its ​

Answer:

Step-by-step explanation:

You want to factor the trinomial. What two numbers multiply to equal 1, but add to equal 2? Thats easy, its just 1.

You now have (x + 1) twice, so you can just square it like this:

\((x+1)^2>0\)

We can make that term equal to 0 to get x = -1, but remember that this isnt an equation. This is an inequality, so x > -1

In order to graph this, you should shade everything to the right of -1 because we have the greater than sign. Make the circle open because we are not including -1. It is everything greater than -1

Answer: y=-6.4

Step-by-step explanation:

The amount of force used to pull the cart from 60 N to 90 N, the new acceleration of the cart is, 1.5 m/s²

The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.

Formula of force,

F = ma

Given that,

A man pulled a cart filled with stones that had a total mass of 60 kg

He increased the amount of force used to pull the cart from 60 N to 90 N

New acceleration of cart = ?

F  = ma

Old acceleration,

60  = 60a

a   =  1 m/s²

New acceleration,

90 = 60a

a   = 90/60

a   =  3/2

a   =  1.5 m/s²

Hence, the new acceleration is 1.5 m/s²

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Answer:

39 and 52

Step-by-step explanation:

Let x represent one number and y represent the other one

x + y = 91 and

x - y = 13 now add these two equation

x + y + x - y = 91 + 13 add like terms

2x = 104 divide both sides by 2

x = 52 to find y we can subtract this from 91

y = 91 - 52

y = 39

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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Answer:

c) 1

Step-by-step explanation:

f(x) = g(x)

-x+2 = 5x-4

+x       +x

2 = 6x -4

+4      +4

6 = 6x

(divide both sides by 6)

1 = x

This question is incomplete, the complete question is;

A study has been done to determine to see if the level of education determines how often people move between different states in America. If a person from the survey that attended college is randomly selected what is the probability that they also lived in 2 or more states during their life? P(2 state or more | College Degree)

                                             Lived in just             Lived in 2 or               Total

                                                1 state                     more states

No High School Diploma           6                                 2                           8

High School Diploma                 14                               16                          30

College Degree                           2                               18                          20

Total                                            22                             36                           58

Options;

a) 0.111

b) 0.310

c) 0.500

d) 0.900

Answer:

The required probability is 0.9

Option d) 0.900 is the correct answer.

Step-by-step explanation:'

Given the data in the question;

Total number of people in the survey or sample size n = 58

Number of people with college degree who live in 2 or more state = 18

P(2 states or more and college degree) = Number of people with college degree who live in 2 or more state / Total number of people in the survey

P(2 states or more and college degree)  = 18 / 58

Also, Total number of people with college degree = 2 + 18 = 20

so, P( College Degree ) =  Total number of people with college degree / Total number of people in the survey

P( College Degree ) = 20 / 58

Therefore, P(2 state or more | College Degree) will be;

⇒ P(2 states or more and college degree) / P( College Degree )

⇒ ( 18 / 58 ) / ( 20 / 58 )

⇒ ( ( 18 / 58 )58 ) / 20

⇒ (( 18 × 58 ) / 58 ) / 20

⇒ 18 / 20

⇒ 0.9

Therefore, The required probability is 0.9

Option d) 0.900 is the correct answer.

Answer:

86/3

Step-by-step explanation:

28.6

The points we have for the triangle are:

G(9, 12), H(-2, - 15), J(3, 8)

G'(9,-2), H'(-2, 25), J'(3, 2)

The points marked with " ' "are the image points.

In a coordinate pair, the first number is always the x-coordinate, and the second number is the y-coordinate: (x,y)

In this case, analyzing the points, from G, to the image G' the x-coordinate , which is 9, stays the same.

If we look at the points H and H' we can see that the x-coordinate, which is -2, stays the same.

And for points J and J', the x-coordinate which is 3, stays the same.

Now, for the y-coordinates, if we analyze the points G(9,12) and G'(9,-2). We can see that y-coordinate went from 12 to -2. This change is represented by:

-y+10

Because the original y which is 12, if we multiply it by -, we get -12, and if we add 10 to that we get -12+10=-2.

We can confirm this for the other points, the y-coordinate of H is -15, if we transform it as -y+10:

We get the y-coordinate for H' which is 25.

That is also true for the third point J and J'.

In summary, the reflection rule that maps this triangle to its image is:

The statement that describes the distribution based on the given information is:

A) The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 98 messages.

The graph shows a normal distribution, as indicated by the shape of the curve. The highest point of the curve (the peak) is at 128, which represents the mean of the distribution.

The standard deviation measures the spread of the data, and based on the information given, it is 98. Therefore, option A accurately describes the distribution.

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Based on their given probabilities, e would expect the color blue or green to be spun approximately 75 times in this experiment.

To find the expected number of times the color blue or green will be spun, we first need to add their probabilities:

0.25 + 0.125 = 0.375

This means that, on average, we would expect to see blue or green spun 0.375 times for every spin. To find the expected number of times this will happen over 200 spins, we can multiply the probability by the number of spins:

0.375 x 200 = 75

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The solution of the each given equations:

(1) x = 9

(2) x = -2

(3) x = -2

(4) x = 26

(5) x = 3/5

(6) x = 13/12

(7) x = 15

(8) x = 26

(9) x = 7/3

(10) x = 5/8

We have to solve this given equation in on variable.

(1) Given equation is,

x - 7 = 2

x = 2 + 7 = 9

Hence, the solution is, x = 9

(2) Given equation is,

3x + 4 = -2

3x = -2 -4

3x = -6

x = -6/3 = -2

Hence, the solution is, x = -2

(3) Given equation is,

2x + 7 = x + 5

2x - x = 5 - 7

x = -2

Hence, the solution is, x = -2

(4) Given equation is,

x/2 = 13

x = 2*13 = 26

Hence, the solution is, x = 26

(5) Given equation is,

5(2 + x) = 13

10 + 5x = 13

5x = 13 - 10

5x = 3

x = 3/5

Hence, the solution is, x = 3/5

(6) Given equation is,

6(2x - 1) = 7

12x - 6 = 7

12x = 7 + 6 = 13

x = 13/12

Hence, the solution is, x = 13/12

(7) Given equation is,

2x/5 = 6

2x = 6*5 = 30

x = 30/2 = 15

Hence, the solution is, x = 15

(8) Given equation is,

x/2 = 13

x = 2*13 = 26

Hence, the solution is, x = 26

(9) Given equation is,

(x - 1)3 = 4

3x - 3 = 4

3x = 4 + 3 = 7

x = 7/3

Hence, the solution is, x = 7/3

(10) Given equation is,

(2x - 1)4 = 1

8x - 4 = 1

8x = 1 + 4

8x = 5

x = 5/8

Hence, the solution is, x = 5/8

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Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

Answer:

It makes sense for Phil to sell his products online.

Step-by-step explanation:

Answer:

a⁴ - 81

Step-by-step explanation:

Identity applied :

(a + b)(a - b) = a² - b²

Simplifying :

Answer:

x = 5

y = 1

Step-by-step explanation:

2x - y = 9

3x + 4y = 19

We multiply the first equation by 4

8x - 4y = 36

3x + 4y = 19

11x = 55

x = 5

Now we put 5 in for x and solve for y

2(5) - y = 9

10 - y = 9

-y = -1

y = 1

Let's Check the answer

2(5) - 1 = 9

10 - 1 = 9

9 = 9

So, x = 5 and y = 1 is the correct answer.

Answer:

3481π or 10935.884

Step-by-step explanation:

Area = πr^2

Area = 3481π or 10935.884

The total surface area of the cylinder is 157 square feet.

Given the radius of the cylinder = 4 inches

height of the cylinder = 9 inches

Total surface area is calculated by the formula:

A = 2πr² + 2πh

A = 2 × 3.14 × 4² + 2 × 3.14 × 9

or, A = 157 square feet.

Therefore the total surface area of the cylinder is 157 square feet.

The surface area of a solid item is a measurement of the total volume that the surface of the thing occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more complicated than the definition of arc length for one-dimensional curves.

The definition of surface area for polyhedral (i.e., particles with flat polygonal faces), where the surface area is equal to the sum of the areas of its faces. When smooth surfaces, like spheres, are represented as parametric surfaces, their surface area can be calculated.

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Answer:  I need help with this problem toooo. Does anyone know how to do it?

Step-by-step explanation:

Answer:

27.101

Step-by-step explanation:

The rigid motion of the solid line figure is translated to the dotted line figure.

Translation describe a function that moves an object a certain distance.

In a translation, every point of the object must be moved in the same direction and for the same distance.

In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.

Therefore, the rigid motion maps the solid-line figure onto the dotted-line figure by translation

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Answer:

Can't help..................

The balance sheet attached shows the Total Assets to be $55.968M  and Total Liabilities and Capital to be $252M respectively.

1. Assets:

  a. Cash in Reserves:

The required reserves are 5.4% of checkable deposits.

Therefore, the required reserves amount to 5.4% of $92 million, which is:

(0.054 * $92 million) = $4.968 million.

This amount is considered a liability for the bank, but it is held as an asset in the form of cash reserves.

  b. Loans: The bank made a $28 million commercial loan and a $23 million mortgage loan. Therefore, the total loans amount to:

total loan =  $28 million + $23 million

                 = $51 million.

2. Liabilities:

  a. Checkable Deposits:

The bank received $92 million in checkable deposits.

  b. Required Reserves:

As mentioned above, the required reserves amount to $4.968 million.

3. Capital:

  The bank started with $155 million in capital.

Based on the above information, the bank's balance sheet would look as attached.

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Answer:

∠E = tan

∠D = tan

Step-by-step explanation:

Common sense, only perpendicular and base is present.

Answer:

X=6

Step-by-step explanation:

you add 5 on ther side, then add 7, and 5 together. then divide 2 on the other side

Answer:

x=6

Step-by-step explanation:

2x-5=7

add 5 on both sides:

2x-5+5=7+5

2x=12

Divide by 2:

x=6

Hope this helps!

Answer:

ubeovgtnwjggswgtepibvqyytkhfhduygvtqyaccjvgvdbbetedgtdgyegghjgdbecdkbfbgdhebhjegeckgbkhbeiubuvvsakvhfe

Step-by-step explanation:

hrtrrrrrrrrrrrrrrrrhhhhhhrhhhhhhhhhhhhhhhhhhhhhhhhhhhhrhhrhhrrhhhrhhhhh

a) An amount of 8 / 3 cups are needed to prepare 8 dozen cookies.

b) A quantity of 30 dozen flour can be prepared with 10 cups of flour.

Herein we know the amount of cups of flour needed to prepare a cookies and we can determine the desired amount of cookies by using a simple rule of three, a case of cross multiplication.

a) The quantity of cups of flour needed are:

x = (2 / 3 cups) × (8 d / 2 d)

x = 8 / 3 cups

An amount of 8 / 3 cups are needed to prepare 8 dozen cookies.

b) The quantity of cookies that can be made are:

x = [10 cups / (2 / 3 cups)] × 2 d

x = 30 d

A quantity of 30 dozen flour can be prepared with 10 cups of flour.

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Answer:

6781632 ft ^ 3

Step-by-step explanation:

The first thing is to know the formula for the volume of a pyramid:

V = 1/3 * Ab * h

That is, it is one third of the product between the area of the base and the height.

The base area would be:

Ab = l ^ 2

the side equals 156 ft, replacing:

Ab = 156 ^ 2

Ab = 24336 ft ^ 2

now, replacing in the volume formula:

V = 1/3 * 24336 * 836

V = 6781632

Which means that the volume of the pyramid is 6781632 ft ^ 3