Which are the solutions for the inequality m > - 9?

Momentum is 13,750 [kg m/s]

The momentum, denoted by p, is a physical quantity that describes the amount of motion an object has. It is defined as the product of an object's mass and its velocity. In symbols, we can write:

p = m * v

where p is momentum, m is mass, and v is velocity.

In this case, we are given the values of mass (m = 250 [kg]) and velocity (v = 55 [m/s]). We can simply substitute these values into the formula to find the momentum:

p = m * v

 = 250 [kg] * 55 [m/s]

 = 13,750 [kg m/s]

Therefore, the momentum of the object is 13,750 [kg m/s].

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Answer:

8x9=72 (9)+9+9=27

Step-by-step explanation:

am I right?

Answer:

The missing number is 54

Step-by-step explanation:

72 = __ + 18

72 - 18 = x

54 = x

8 x 9 = 54 + 9 + 9

72 = 72

To construct a 4x2 matrix D such that AD=I2, we can use the following matrix: D = [0 0 1 0; 0 0 0 1]. It is not possible for CA to be equal to 4 or 14 for any 4x2 matrix C.

Constructing a matrix D such that AD=I2

Let A = -1 be a 1x1 matrix. We want to construct a 4x2 matrix D such that their product AD is equal to the 2x2 identity matrix I2. We can use the following matrix for D:

D = [0 0 1 0; 0 0 0 1; 1 0 0 0; 0 1 0 0]

To verify that AD=I2, we can compute the matrix product:

AD = [-1 0 0 0; 0 -1 0 0] [0 0 1 0; 0 0 0 1; 1 0 0 0; 0 1 0 0]

= [0 0 -1 0; 0 0 0 -1]

= -I2

Note that D only uses 1 and 0 as entries.

Now, it is not possible for CA to be equal to 4 or 14 for any 4x2 matrix C. To see why, we can use the definition of matrix multiplication. Let C be a general 4x2 matrix:

C = [c11 c12; c21 c22; c31 c32; c41 c42]

Then, we can compute CA as:

CA = [-1 0; 0 -1] [c11 c12; c21 c22; c31 c32; c41 c42]

= [-c11 -c12; -c21 -c22; -c31 -c32; -c41 -c42]

Since CA is a 4x2 matrix and 4 is a scalar, it is not possible for CA to be equal to 4. Similarly, since the entries of C are only 0 or 1, it is not possible for CA to be equal to 14.

Therefore, there is no matrix C that satisfies the equations CA=4 or CA=14.

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Answer:

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

Step-by-step explanation:

Given

\(x(3x + 2)\)

Required

Apply distributive property

\(x(3x + 2)\)

Distribute

\(x(3x + 2) = x * 3x + x * 2\)

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

Answer:

Samantha worked 26 hours and Adriana worked 13 hours.

Step-by-step explanation:

Let s = the number of hours that Samantha worked

Let a = the number of hours that Adriana worked

s = 2a

s + a = 39

2a + a = 39

3a = 39

a = 13

Answer:

what is the difference in length and the shortest length

Did it hurt when you fell from heaven? because i think you may have fell on your face.

~ Keiji ❤

I'm not too good at comebacks, but have a good day and remember to eat~

Answer:

negative numbers aren't whole numbers but they are considered to be integers

Answer:Whole numbers don't include negative numbers, fractions, or decimals.

Step-by-step explanation:

depends please comment give more ifnomation on what you are saying if you dont understand

The flux of the vector field f=(x² y²)k through the disk of radius 10 in the xy-plane, centered at the origin and oriented upward, is zero.

The flux of a vector field through a surface is given by the surface integral of the dot product of the vector field and the unit normal vector to the surface. In this case, the vector field is f=(x² y²)k, which is pointing in the z direction, and the surface is a disk in the xy-plane of radius 10, centered at the origin, and oriented upward.

The unit normal vector to the disk is pointing in the upward direction, which is the same direction as the vector field. Therefore, the dot product of the vector field and the unit normal vector is always positive, and the surface integral of this dot product over the disk is always positive.

However, the divergence of the vector field f is 2xy, which is not zero. According to the Divergence Theorem, the flux of a vector field through a closed surface is equal to the triple integral of the divergence of the vector field over the enclosed volume. Since the disk is an open surface, we cannot use the Divergence Theorem directly.

Instead, we can use the fact that the flux through any closed surface that encloses the disk is zero. This is because the flux through any closed surface that encloses the disk must be equal to the flux through the disk itself plus the flux through the rest of the closed surface, which is zero because the vector field f is zero everywhere outside the disk.

Therefore, the flux of the vector field f=(x² y²)k through the disk of radius 10 in the xy-plane, centered at the origin and oriented upward, is zero.

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The exponential model for the bat population t years after 2012 is \(n(t) = 220000e^{(0.0217t)}\)

What is the exponential function?

An exponential function is a mathematical function of the form:

f(x) = aˣ

where "a" is a constant called the base, and "x" is a variable. Exponential functions can be defined for any base "a", but the most common base is the mathematical constant "e" (approximately 2.71828), known as the natural exponential function.

To find an exponential model of the form n(t) = n0ert, we need to first find the value of r, which is the continuous growth rate.

We can use the formula r = ln(2)/d, where d is the doubling time.

d = 32 years

r = ln(2)/d

r = ln(2)/32

r = 0.0217 (rounded to four decimal places)

Now we can substitute the given values into the exponential model equation:

n(t) = n0ert

\(n(t) = 220000e^{(0.0217t)}\)

Hence, the exponential model for the bat population t years after 2012 is \(n(t) = 220000e^{(0.0217t)}\).

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Equation represents the amount of money lydia spent of apples and bananas is 5x + 3y = 8.50. Equation represents the amount of money ari spent on apples and bananas is 3x + 2y = 5.25.

Let x be the cost per pound of apples, and let y be the cost per pound of bananas. Then, the system of equations representing the given situation is:

5x + 3y = 8.50 (Equation 1)

3x + 2y = 5.25 (Equation 2)

Equation 1 represents the amount of money Lydia spent on 5 pounds of apples and 3 pounds of bananas. It shows that the total cost of the apples and bananas that Lydia bought is $8.50. To find the cost per pound of each fruit, we need to solve for x and y.

Equation 2 represents the amount of money Ari spent on 3 pounds of apples and 2 pounds of bananas. It shows that the total cost of the apples and bananas that Ari bought is $5.25. To find the cost per pound of each fruit, we need to solve for x and y.

To solve for x and y, we can use the method of substitution or elimination. Once we find the values of x and y, we can substitute them back into Equation 1 or Equation 2 to find the cost of each fruit for Lydia and Ari.

In summary, the given situation can be represented by a system of two equations. Equation 1 represents the amount of money Lydia spent on apples and bananas, and Equation 2 represents the amount of money Ari spent on apples and bananas. To find the cost per pound of each fruit, we need to solve for x and y using substitution or elimination.

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Complete question is:

Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. Ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25. Determine a system of equations that represents the given the situation. Let x be cost per pound of apples and let y be the cost per pound of bananas. Which equation represents the amount of money Lydia spent of apples and bananas? Which equation represents the amount of money Ari spent on apples and bananas?

The minimum cost to fill the orders is $1090.

To find the minimum cost to fill the orders, we must determine the most cost-effective shipping routes for each car. Let's calculate the price for each possible combination and choose the one with the lowest total cost.

Shipping cars from Warehouse A to City C: Since City C dealers sell ten cars and Warehouse A has 15 cars available, we can fulfill the demand entirely from Warehouse A.

The cost of shipping one car from A to C is $50, so the total cost for shipping ten cars from A to C is 10 * $50 = $500.

Shipping cars from Warehouse A to City D: City D dealers sell 12 cars, but Warehouse A only has 15 cars available.

Thus, we can fulfill the demand entirely from Warehouse A. The cost of shipping one car from A to D is $40, so the total cost for shipping 12 cars from A to D is 12 * $40 = $480.

Shipping cars from Warehouse B to City C: City C dealers have already sold 10 cars, and Warehouse B has 10 cars available.

So, we can fulfill the remaining demand of 10 - 10 = 0 cars from Warehouse B.

The cost of shipping one car from B to C is $60, so the total cost for shipping 0 cars from B to C is 0 * $60 = $0.

Shipping cars from Warehouse B to City D: City D dealers have already sold 12 cars, and Warehouse B has 10 cars available.

Thus, we need to fulfill the remaining demand of 12 - 10 = 2 cars from Warehouse B.

The cost of shipping one car from B to D is $55, so the total cost for shipping 2 cars from B to D is 2 * $55 = $110.

Therefore, the minimum cost to fill the orders is $500 (from A to C) + $480 (from A to D) + $0 (from B to C) + $110 (from B to D) = $1090.

We consider each shipping route separately to determine the cost of fulfilling the demand for each city. Since the goal is to minimize the cost, we choose the most cost-effective option for each route.

In this case, we can satisfy the entire demand for City C from Warehouse A since it has enough cars available.

The cost of shipping cars from A to C is $50 per car, so we calculate the cost for the number of cars sold in City C. Similarly, we can fulfill the entire demand for City D from Warehouse A.

The cost of shipping cars from A to D is $40 per car, so we calculate the cost for the number of cars sold in City D.

For City C, all the demand has been met, so there is no cost associated with shipping cars from Warehouse B to City C.

For City D, there is a remaining demand of 2 cars that cannot be fulfilled from Warehouse A.

We calculate the cost of shipping these cars from Warehouse B to City D, which is $55 per car.

Finally, we add up the costs for each route to obtain the minimum cost to fill the orders, which is $1090.

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The least number of seats the manger could order to 270 seats

The information that the the seats are sold only in groups of 10 will help to know that the order will be in a multiple of 10.

The manager wants to order 267 seats and this is not a multiple of 10 the nearest multiple of 10 is 270.

This is because, 260 will be short of want the manager want however ordering for 270 will be in excess with three seats.

Hence the manager will order 270 and heave 3 extra seats

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The percent of adults who are developmentally disabled by the criterion of an IQ score below 70 is approximately 2.28%

We can use the standard normal distribution in order to find the probability of an IQ score below 70.

We know the mean IQ score is 100 and the standard deviation is 15, so we can use the formula:

z = (70 - 100) / 15

z = -2

Using a normal probability table, we find that the probability of a score less than -2 is approximately 0.0228.

Therefore, we get that approximately 2.28% of adults are considered developmentally disabled by the criterion of an IQ score below 70.

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Answer:   question 9      is     3/12

Step-by-step explanation:

The probability P(X ≤ 7, Y = 5) can be found as a simplified expression. The probability P(X > 7, Y ≤ 6) can be determined by calculating the joint probability for the given condition.

(a) To find P(X ≤ 7, Y = 5), we need to sum up the joint probabilities for all values of X less than or equal to 7 and Y equal to 5. Since the joint probability distribution is given as f(x, y) = 150, we can simplify the expression by multiplying the probability by the number of favorable outcomes. In this case, the probability P(X ≤ 7, Y = 5) is 150 multiplied by the number of (X, Y) pairs that satisfy the condition.

(b) To find P(X > 7, Y ≤ 6), we need to sum up the joint probabilities for all values of X greater than 7 and Y less than or equal to 6. We can calculate this by summing the joint probabilities for each (X, Y) pair that satisfies the given condition.

By applying these calculations, we can determine the probabilities P(X ≤ 7, Y = 5) and P(X > 7, Y ≤ 6) based on the given joint probability distribution.

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Answer: y = 2(x + 2)² - 5

Step-by-step explanation:

          We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.

Given:

     y = 2x² + 8x + 3

Factor the 2 out of the first two terms:

     y = 2(x² + 4x) + 3

Add and subtract \(\frac{b}{2} ^2\):

     y = 2(x² + 4x + 4 - 4) + 3

Distribute the 2 into -4 and combine with the 3:

     y = 2(x² + 4x + 4) - 5

Factor (x² + 4x + 4):

     y = 2(x + 2)² - 5

Your monthly payment for the 60-month, 5.54% APR motorcycle loan to purchase your dream Harley-Davidson will be $136.88.

To calculate the monthly payment for a motorcycle loan, we can use the formula for the present value of an annuity. The formula is:

PMT = PV * r / (1 - (1 + r)^(-n))

Where:
PMT = Monthly payment
PV = Present value of the loan
r = Monthly interest rate
n = Number of months

In this case, the present value of the loan (PV) is $7,200, the monthly interest rate (r) is 5.54% divided by 12 (0.0554 / 12), and the number of months (n) is 60.

Plugging in these values into the formula, we get:

PMT = 7200 * (0.0554 / 12) / (1 - (1 + (0.0554 / 12))^(-60))

Evaluating this expression, the monthly payment comes out to be approximately $136.88.

Therefore, your monthly payment for the 60-month, 5.54% APR motorcycle loan to purchase your dream Harley-Davidson will be $136.88.

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2. Using proportion, the value of x = 38, the length of FC = 36 in.

3. Applying the angle bisection theorem, the value of x = 13. The length of CD = 39 cm.

The Angle Bisector Theorem states that in a triangle, an angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides of the triangle.

2. The proportion we would set up to find x is:

(x - 2) / 4 = 27 / 3

Solve for x:

3 * (x - 2) = 4 * 27

3x - 6 = 108

3x = 108 + 6

Simplifying:

3x = 114

x = 114 / 3

x = 38

Length of FC = x - 2 = 38 - 2

FC = 36 in.

3. The proportion we would set up to find x based on the angle bisector theorem is:

13 / 3x = 7 / (2x - 5)

Cross multiply:

13 * (2x - 5) = 7 * 3x

26x - 65 = 21x

26x - 21x - 65 = 0

5x - 65 = 0

5x = 65

x = 65 / 5

x = 13

Length of CD = 3x = 3(13)

CD = 39 cm

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The missing points from the Column is:

Game Free-Throw Percentage:        60  20  60  80

Average Free-Throw Percentage:    70  60  55  56.67

Game       Game           Total              Game                              Average

               Result                               Free-Throw                       Free-Throw

                                                       Percentage                       Percentage

1                8/10              8/10                 80                                  80

2                 6/10            14/20               60                                  70          

3                1/5               15/25                20                                  60        

4                3/5              18/30                60                                  55        

5                8/10             26/40               80                                  56.67                                                          

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The question attached here seems to be incomplete, the complete question is

Fill in the columns with Dmitri's free-throw percentage for each game and his overall free-throw average after each game.

Game       Game Result         Total      Game Free-Throw Percentage    Average Free-Throw Percentage

1                        8/10                        8/10                   80                                                           80

2                        6/10                        14/20                    

3                        1/5                        15/25  

4                        3/5                        18/30  

5                        8/10                       26/40  

Answer:

m=−b±b2−4ac2a=−±2−4√2Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

Step-by-step explanation:

hope this helps!

Answer:

\(m=-8,\,m=7\)

Step-by-step explanation:

\(m^2+m-56=0\\(m+8)(m-7)=0\\m=-8,\,m=7\)

Answer:

5 km/h

Step-by-step explanation:

Speed of man in still water = s

Speed of current = c

Speed upstream = s - c

Distance upstream = 24 km

Time upstream = 6 hours

Speed downstream = s + c

Distance downstream = 36 km

Time downstream = 6 hours

Speed Equation

speed = distance/time

distance = speed × time

d = st

We write a distance equation for upstream and a second distance equation for downstream.

Upstream:

d = st

24 = (s - c) × 6

Divide both sides by 6 and switch sides:

s - c = 4        Equation 1

Downstream:

d = st

36 = (s + c) × 6

Divide both sides by 6 and switch sides.

s + c = 6       Equation 2

We now have two equations in two variables. We use equations 1 and 2 as a system of equations.

s - c = 4

s + c = 6

Add the equations to use the addition method.

2s = 10

s = 5

Answer: 5 km/h

Arlis has more than 5 hats.Let's start by using algebra to solve this problem. We know that Arlis has h hats, and if he buys 4 more hats, he will have h+4 hats.

If he multiplies this by 5, he will have 5(h+4) hats. We also know that Geri has 45 hats.
So, we can set up an inequality to represent this situation:
5(h+4) > 45
Now, let's solve for h:
5h + 20 > 45
Subtract 20 from both sides:
5h > 25
Divide both sides by 5:
h > 5
Arlis has at least 6 hats.
Arlis has more hats than Geri, we can substitute h = 6 into our equation:
5(6+4) = 50
Since 50 is greater than 45, Arlis does indeed have more hats than Geri.
Inequality: h + 4 x 5 > 45
Simplified inequality: 5h + 20 > 45
Solved inequality: h > 5
Now, let's solve the inequality:
1. Distribute the 5:
  5h + 20 > 45
2. Subtract 20 from both sides:
  5h > 25
3. Divide both sides by 5:
  h > 5

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tha ratio is

15 +21 : 20 + 10 + 42 and simplified is 36 : 72 = 1 : 2

answer: the first one

Answer:

3000ft²

Step-by-step explanation:

2cm =5 ft

24 cm = 60 ft

20 cm = 50 ft

Area = 60 *50

= 3000

The property of real numbers that justifies the statement is the distributive property of multiplication over addition.

According to the distributive property, for any real numbers a, b, and c, the expression a(b + c) can be simplified as ab + ac. In the given expression, we have 3√3 + 8√3, where √3 is a common radical. By applying the distributive property, we can rewrite it as (3 + 8)√3, which simplifies to 11√3.

The distributive property is a fundamental property of real numbers that allows us to distribute the factor (in this case, √3) to each term within the parentheses (3 and 8) and then combine the resulting terms. It is one of the basic arithmetic properties that govern the operations of addition, subtraction, multiplication, and division.

In the given expression, we are using the distributive property to combine the coefficients (3 and 8) and keep the common radical (√3) unchanged. This simplification allows us to obtain the equivalent expression 11√3, which represents the sum of the two radical terms.

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Answer:

A. \( \frac{\sqrt 3}{3}\)

Step-by-step explanation:

\(m\angle QSR = 180\degree - 150\degree \\ (Linear \: pair\: \angle s) \\ \\m\angle QSR = 30\degree \\ \\ \tan( \angle QSR) = \tan \: 30 \degree \\ \\ = \frac{1}{ \sqrt{3} } \\ \\ = \frac{ \sqrt{3} }{3} \)

Answer:

because

TSR + QSR = 180⁰

<=> 150⁰ + QSR = 180⁰

=> QSR = 30⁰

so

\( \tan(qsr) = \tan(30) = \frac{ \sqrt{3} }{3} \)

Answer:

The alop is 4. Glad this helps.

Answer:

the slope is 4

Step-by-step explanation: