Fred is given a rectangular picture frame as a birthday gift. If the length of the frame is represented by 4x-2 and the width of the frame is represented by 2x + 1, find the area of the picture frame in square inches.

Answer:

i got n =2

Step-by-step explanation:

setted up a proportion, so 4/n+6 = 9/n+16 and solved from there and got 2.

The probability the baseball player has exactly 1 hit in his next 7 bats is 0.3429. Because the batter can either hit or not hit the ball, a binomial probability distribution is used to model this random variable.

A batting average is used to describe the frequency of a batter hitting safely in a baseball game. It is expressed as a decimal and is calculated by dividing the number of hits by the number of at-bats. A batting average of 0.155 implies that the player has 15.5 hits in every 100 at-bats.The number of hits that a batter will have in any given at-bat is a random variable.

A binomial probability distribution is a probability distribution that describes the number of successes (or failures) in a fixed number of independent trials, each of which has only two outcomes, success and failure. Because the trials are independent, the probability of success is constant.The formula for a binomial probability distribution is:P(x) = (nCx) * p^x * (1-p)^(n-x)where:x = the number of successesn = the number of trialsp = the probability of success in any one trialq = the probability of failure in any one trial (1-p)nCx = the number of combinations of n items taken x at a time.

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The reduced cost matrix for travelling salesperson problem in the given instance is shown below. The Travelling Salesperson Problem (TSP) is a classical combinatorial optimization issue that belongs to the category of NP-Hard problems.

This problem can be resolved using a branch and bound algorithm or by using dynamic programming.The reduced cost matrix for the given travelling salesperson problem instance The computation of the reduced cost matrix for travelling salesperson problem involves two steps: Identify the smallest element of each row and subtract the value from all the values in the row.

Identify the smallest element of each column and subtract the value from all the values in the column.In the given instance, the smallest element of each row is highlighted in bold. Therefore, after performing Step 1 the matrix becomes the matrix becomes Hence, the reduced cost matrix for the travelling salesperson problem is obtained.

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Answer:

\(r = 7\ km\)

Step-by-step explanation:

The formula for the area of a circle is:

\(A = \pi r^2\)

Since we know that a semicircle is half of a circle, we can say the area is:

\(A = \frac{1}{2}\pi r^2\)

From here solve for r:

\(76.97 = \frac{1}{2}\pi r^2\\153.94 = \pi r^2\\\frac{153.94}{\pi} = r^2\\r = \sqrt{\frac{153.94}{\pi}}\\r = 7\)

Answer:

1. 3^4 x 3^3 < 3^12

2. 3^3 x 4^3 < 12^4

3. 3^4 x 4^3 > 12^3

Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.

Given:

Kaci earned scores of 78, 88, 87, and 91 on her first four science tests.

She has one more test to take and wants to get an average score of 80 or more on her tests.

Let the score of the final test = x

So, the average of the scores will be equal to or greater than 80

So, we have the following inequality

Solve for x:

So, the minimum score will be 56

Answer:

p = 1

Step-by-step explanation:

p - 1 = 5p + 3p - 8(collect like terms)

p - 1 = 8p - 8(add 1 on each side)

p = 8p - 7(subtract 8p on each side)

-7p = -7 (divide by -7)

p = 1

Hey there!

[Question #1.]

8y - 5 < 3

ADD 5 to BOTH SIDES

8y - 5 + 5 < 3 + 5

CANCEL out: -5 + 5 because it gives you 0

KEEP: 3 + 5 because it help solve for the y-value

NEW EQUATION: 8y < 3 + 5

SIMPLIFY IT!

8y < 8

DIVIDE 8 to BOTH SIDES

8y/8 < 8/8

CANCEL out: 8/8 (on the LEFT side) because it gives you 1

KEEP: 8/8 (on the RIGHT side) because it helps you get the y-value

NEW EQUATION: y < 8/8

SIMPLIFY IT!

y < 1

Therefore, your answer is: y < 1 ; it is an OPEN circle shaded to the LEFT

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[Question #2.]

3p + 2 > -10

SUBTRACT 2 to BOTH SIDES

3p + 2 - 2 > -10 - 2

CANCEL out: 2 - 2 because it gives you 0

KEEP: -10 - 2 because it help solve for the p-value

NEW EQUATION: 3p > -10 - 2

SIMPLIFY IT!

3p > -12

DIVIDE 3 to BOTH SIDES

3p/3 > -12/3

CANCEL out: 3/3 because it gives you 1

KEEP: -12/3 because it helps solve for the p-value

NEW EQUATION: p > -12/3

SIMPLIFY IT!

p > -4

Therefore, your answer is: p > -4; it is an OPEN circle shaded to the RIGHT

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[Question #3.]

-2 > m/6 - 7

m/6 - 7 < -2

1/6m - 7 < -2

ADD 7 to BOTH SIDES

1/6m - 7 + 7 < -2 + 7

CANCEL out: -7 + 7 because it gives you 0

KEEP: -2 + 7 because it help solve for the m-value

NEW EQUATION: 1/6m < -2 + 7

SIMPLIFY IT!

1/6m < 5

MULTIPLY 6 to BOTH SIDES

1/6m * 6 < 6 * 5

CANCEL out: 1/6 * 6 because it gives you 1

KEEP: 6 * 5 because it help solve for the m-value

NEW EQUATION: m < 6 * 5

SIMPLIFY IT!

m < 30

Therefore, your answer is: m < 30

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

8

Step-by-step explanation:

The average rate of change for this quadratic function for the interval from x = 0 to x = 2 is -2

A relation is a function if it has only One y-value for each x-value.

The average rate of a function f(x)  from x=a to x=b is given as:

= f(b)-f(a)/b-a

Clearly we are asked to find the average rate of change from x=0 to x=2.

i.e. a=0 and b=2

Also, from the graph it could be observed that:

f(0)=1

and f(2)=-3

=f(2)-f(0)/2-0

=-3-1/2

=-4/2

=-2

Hence, the average rate of change for this quadratic function for the interval from x = 0 to x = 2 is -2

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Derivative of z with respect to  x is -2 / z and Derivative of z with respect to  y is ∂z/∂y = -7 / (4z).

To find derivatives ∂z/∂x and ∂z/∂y for the equation x^9 y^8 z^4 = 5xyz, follow these steps:

1. Rewrite the equation in the form z^4 = (5xyz) / (x^9 y^8).

2. Take the natural logarithm (ln) of both sides to simplify the equation: ln(z^4) = ln[(5xyz) / (x^9 y^8)].

3. Apply the power rule and the properties of logarithms: 4 * ln(z) = ln(5) + ln(xyz) - ln(x^9) - ln(y^8).

4. Differentiate both sides with respect to x: (4 * ∂ln(z) / ∂x) * (∂z/∂x) = ∂ln(x) / ∂x - 9 * ∂ln(x) / ∂x.

5. Simplify the equation and solve for ∂z/∂x: ∂z/∂x = (1 - 9) / (4z).

6. Similarly, differentiate both sides of the equation (from step 3) with respect to y: (4 * ∂ln(z) / ∂y) * (∂z/∂y) = ∂ln(y) / ∂y -      8 * ∂ln(y) / ∂y.

7. Simplify the equation and solve for ∂z/∂y: ∂z/∂y = (1 - 8) / (4z).

So, ∂z/∂x = -2 / z and ∂z/∂y = -7 / (4z).

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Answer:

a rectangle with 2 yards and 3 yards

Step-by-step explanation:

12 yards and 23 yards

x and 2x - 1

------------------------------------

2 and 3 = x and 2x - 1

2 and 2(2) - 1 = 2 and 3

I might be wrong.

Answer:

3\15

Step-by-step explanation:

hope this helps

Answer:

\(\frac{2}{8}and\frac{5}{20}\)

Step-by-step explanation:

\(\frac{3}{15}=\frac{1}{5}\)

\(\frac{2}{8}=\frac{1}{4}\)

\(\frac{5}{20}=\frac{1}{4}\)

\(\frac{11}{40}=\frac{11}{40}\)

Answer:

-6

Step-by-step explanation:

by using -6 any value of x would make the equation true resulting in infinitly many solutions

Answer:

2400

Step-by-step explanation:

Interest = Principal * Rate * Time

             = 2000 * .05 * 4

             = 400

Total amount to pay:

Principal + Interest

2000 + 400 = 2400

Answer:

16

Step-by-step explanation:

Pythagoras theorem was used

A line passes through the two points (-4,6) and (2,-5). 11x +6y - 80 = 0 is the given line equation.

Its slope would be:

\(m = \dfrac{y-q}{x-p}\)

The slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

The slope m of the line is given as

\(m = \dfrac{y-q}{x-p}\\\\ m = \dfrac{-5-6}{2+4}\\\\ m = \dfrac{-11}{6}\)

The equation of a line is  

\(( y -y_0) = m (x - x_0)\\\\( y -6) = \dfrac{-11}{6} (x+4)\\\\6( y -6) = (-11) (x+4)\\\\6y -36 = (-11x +44)\\\\11x +6y - 80 = 0\)

Hence, the equation is  11x +6y - 80 = 0

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The total number of votes will be equal to 7678.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 6 to 5. If there were 3490 no votes.

The number of yes votes will be,

Y/ N = 6 / 5

Y = ( 6 x N ) / 5

Y = ( 6 x 3490 ) /5

Y = 4188

Total number of votes,

T = Y + N

T = 4188 + 3490

T = 7678

Therefore, the total number of votes will be equal to 7678.

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The total amount of kinetic and potential energy in a system is called mechanical energy.

Mechanical energy is the sum of kinetic energy and potential energy within a system. Kinetic energy (KE) is the energy possessed by an object due to its motion, and it is calculated using the formula KE = (1/2)mv², where m is the mass of the object and v is its velocity. Potential energy (PE) is the energy possessed by an object due to its position or condition, and it can be gravitational potential energy, elastic potential energy, or other forms. The total mechanical energy (ME) is obtained by adding the kinetic and potential energy together, so ME = KE + PE.

In summary, the total amount of kinetic and potential energy in a system is referred to as mechanical energy. This energy accounts for both the motion and position-related energies within the system. The calculation of mechanical energy involves summing the kinetic energy, which depends on the mass and velocity of the objects, with the potential energy, which can arise from factors such as gravity or elasticity. Understanding and analyzing the mechanical energy in a system can provide insights into its overall energy distribution and behavior.

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The solution to the system of equations that is solved graphically is (4, 3). See the diagram below.

To solve a system of equations graphically, you need to follow these steps:

Thus, the equations 2x - y = 5 and x - y = 1 are graphed below, which shows they intersect at (4, 3).

The solution is (4, 3).

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Answer:

4x + (6(x-y)) or 10x + 6y

Step-by-step explanation:

A Pear costs (x) Pesos

An Orange costs (y) Pesos less than a Pear

Since an Orange is (y) Pesos less than a pear (x), we can find the cost of a Pear by subtracting (y) from (x) leaving (x-y) as the cost of an Orange

Since there are 4 Pears we use 4(x) to find the cost of Pears and to get the total cost of it all we use a half dozen (6) and use the equation for the cost of an Orange leaving us with 6(x-y)

The final total will be calculated with 4(x) + (6(x-y))

Or the final total can be simplified as 10x + 6y

Answer:

10x - 6y

Step-by-step explanation:

4x + 6 ( x - y )

= 4x + 6x - 6y

= 10x - 6y

There are 120 apples in each basket and 2 leftovers

From the question, the given parameters are:

Number of apples = 482

Number of baskets = 4

the number of apples in each basket is calculated as

Apples in each basket = Number of apples/Number of baskets

Substitute the known values in the above equation

So, we have the following equation

Apples in each basket = 482/4

Evaluate

Apples in each basket = 120.5

Remove the decimal

Apples in each basket = 120

In (a), we have

Apples in each basket = 120.5

The decimal part is

Decimal = 0.5

The number of leftover is then calculated as

Leftover = Decimal * Baskets

So, we have

Leftover = 0.5 * 4

Evaluate

Leftover = 2

Hence, there are 2 leftovers

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Answer:

my guess is c

Step-by-step explanation:

bxnxnnsnsndnjdjdjd

Answer:

ya

Step-by-step explanation:

Answer:

6:18 hope this helps good luckkk

Answer:

No, Elias doesn't have enough quantity of each ingredient to make 45 mince pies.

Step-by-step explanation:

For making 18 Mince Pies Elias needs

200g Butter

225g flour

150g sugar

250g Mincemeat

1 egg

Inorder to make 45 mince pie's he's gonna need 45/18=2.5 times the ingredients he needs to make 18 Mince Pies.

As he doesn't have enough Mincemeat (has only 600g but needs 250*2.5=625g of mincemeat)

As he is short of 25g of Mincemeat, he is unable to make 45 Mincepies.

Answer:

radius=11.5

diameter=23

Step-by-step explanation:

The volume of a sphere is V=4/3 Pi r^3

We can use this to solve for the radius.

555.4= 4/3 (3.14)r^3

Solve for r how you would any other equation. Multiply 4/3 and 3.14.

555.4=4.187 r^3

Divide both sides by 4.187

132.65=r^3

To get rid of the ^3, find the cube root of both sides on a calcualtor.

r= 11.5

The diameter is the radius time two.

11.5 (2)=23.

Hope this helps!

Note: When I say both sides, I mean both sides of the = sign.

Answer:

98 i believe,

Step-by-step explanation:

hope this helps, have a great day :)