Determine the value for x in the picture below.
Please help me

Answer: C.

Step-by-step explanation:

The first number is a positive 4, which is your a1. Then the geometric sequence goes to a negative implying that it is multiplied by a negative. So the a1 = 4 and it is being multiplied by a negative 3.

Answer: C

\(\left \{ {{a_{1}=4 } \atop {a_{n}=a_{n-1}*(-3) }} \right.\)

Step-by-step explanation:

The starting amount (a1) = 4

The rate is -3 because 4 * -3 = 12 and -12 and -12 * -3 = 36 etc.

Using the simplex method, we can solve the linear programming problem to maximize P=8x₁+2x₂-x₃ subject to x₁+x₂-x₃≤2 and 2x₁+4x₂+3x₃≤6 . The optimal solution is x₁=0.5, x₂=0.2, and x₃=0.5, which gives a maximum value of P=7/4.

To solve the linear programming problem using the simplex method, we can start by setting up the initial simplex tableau:

| Basic Variables  | x₁  | x₂  | x₃  |   |   |   | RHS |

|------------------|-----|-----|-----|---|---|---|-----|

|       x₂         |  1  |  1  | -1  | ≤ | 2 |   |  0  |

|       x₃         |  2  |  4  |  3  | ≤ | 6 |   |  0  |

|       P          |  8  |  2  | -1  |   |   |   |  0  |

The first step is to select a pivot column, which is the column with the most negative coefficient in the P row. In this case, that is the x₃ column. Next, we need to select a pivot row, which is the row with the smallest non-negative ratio of the RHS to the corresponding coefficient in the pivot column. In this case, that is the x₂ row, since 2/(-1)=-2 is the smallest non-negative ratio.

Using the x₂ row and x₃ column as the pivot element, we can perform row operations to get a new tableau:

We can see that the P row still has a negative coefficient, so we need to repeat the process of selecting a pivot column and pivot row. This time, the pivot column is the x₁ column, since it has the most negative coefficient in the P row. The pivot row is the x₃ row, since 2/1=2 is the smallest non-negative ratio.

Using the x₃ row and x₁ column as the pivot element, we can perform row operations to get a new tableau:

| Basic Variables  | x₁  | x₂      | x₃  |   |              |       | RHS |

|------------------|-----|---------|-----|---|--------------|-------|-----|

|       x₂         | 3/8 |  1/8    |  0  | ≤ | 1/8          | 1/24  |  0  |

|       x₁         | 1/2 |  1/6    | 1/2 | ≤ | 1/3          | 1/6   |  0  |

|       P          | 7/4 |  3/8    | 7/4 |   | 5/8          | 1/24  |  0  |

We can see that all the coefficients in the P row are non-negative, so we have found the optimal solution. The maximum value of P is 7/4, which occurs when x₁=1/2, x₂=1/6, and x₃=1/2.

Therefore, the correct choice is

A. The maximum value of P is when x₁ = 0.5, X₂=0.2 and x3 = 0.5.

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Simply here we can see ID is a straight line.

So, angle IHL + angle EHK = 180°

or, 75° + angle EHK = 180°

or, angle EHK= 105°

Hope it helps uh.

The table has

x values 2,3,4,5 and

f(x) as 1, 14,20, 31

The statements A is true Intermediate value theorem, B is false mean value theorem, C is true extreme value theorem and D is true.

Given that,

The table has

x values 2,3,4,5 and

f(x) as 1, 14,20, 31

The function f is continuous.

A is true, From the figure.

Intermediate value theorem is let [a,b]be a closed and bounded intervals and a function f:[a,b]→R be continuous on [a,b]. If f(a)≠f(b) then f attains every value between f(a) and f(b) at least once in the open interval (a,b).

B is false because, mean value theorem, Let a function f:[a,b]→R be such that,

1. f is continuous on[a,b] and

2. f is differentiable at every point on (a,b).

Then there exist at least a point c in (a,b) such that f'(c)=(f(b)-f(a))/b-a

In the B part, the differentiability is not given do mean value theorem can be applied.

C is true because the extreme value theorem, if a real-valued function f is continuous on the closed interval [a,b] then f attains a maximum and a minimum each at least once such that ∈ number c and d in[a,b] such that f(d)≤f(x)≤f(c)∀ a∈[a,b].

D is true.

Therefore, The statements A is true, B is false, C is true and D is true.

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Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

The term that fits in the blank is "cardinality". Cardinality refers to the number of instances of one entity that can be linked to a certain number of instances of another entity. In other words, it defines the relationship between entities and how they can be associated with each other.

For instance, if we consider two entities, "employee" and "department", the cardinality between them would determine the number of employees that can be associated with each department. It can be "one-to-one", "one-to-many", "many-to-one", or "many-to-many".

The cardinality of an entity relationship is an important factor to consider while designing a database as it helps in creating efficient and effective database structures. It helps to ensure data integrity and avoid data redundancy. By specifying the cardinality, we can also define the minimum and maximum number of instances that are allowed for each entity. Overall, cardinality plays a crucial role in determining the relationship between entities and how they interact with each other within a database system.

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The term that fits in the blank is "cardinality". Cardinality refers to the number of instances of one entity that can be linked to a certain number of instances of another entity. In other words, it defines the relationship between entities and how they can be associated with each other.

For instance, if we consider two entities, "employee" and "department", the cardinality between them would determine the number of employees that can be associated with each department. It can be "one-to-one", "one-to-many", "many-to-one", or "many-to-many".

The cardinality of an entity relationship is an important factor to consider while designing a database as it helps in creating efficient and effective database structures. It helps to ensure data integrity and avoid data redundancy. By specifying the cardinality, we can also define the minimum and maximum number of instances that are allowed for each entity. Overall, cardinality plays a crucial role in determining the relationship between entities and how they interact with each other within a database system.

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Answer: for the table:

Forks: 16, 8, 48

Spoons: 10, 5, 30

Equivalent ratios are 16:10, 8:5, 48:30

Step-by-step explanation:

Answer:

35% of 300 is 105

Adults=105 , children=195

195 children were present.

Answer: 37.69911184

Step-by-step explanation: π(4)(3) = 12π = 37.69911184

Therefore, the condition that ensures that f(c) = 0 for some value c in the open interval (1, 5) is that f(x) is continuous on the closed interval [1, 5].

Explanation: The Intermediate Value Theorem states that if a function is continuous on a closed interval [a, b], and takes on values f(a) and f(b) at the endpoints, then it must take on every value between f(a) and f(b) somewhere in the interval (a, b).
In this case, we know that f(1) = -2 and f(5) = 7, so by the Intermediate Value Theorem, f(c) must equal 0 at some point in the interval (1, 5) if and only if f(x) is continuous on the interval [1, 5].

Therefore, the condition that ensures that f(c) = 0 for some value c in the open interval (1, 5) is that f(x) is continuous on the closed interval [1, 5].

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The five-number summary for this data set is 36, 38.5, 50.5, 53, and 57, and the interquartile range is 14.5.

Measures of statistical dispersion, or the spread of the data, include the interquartile range. In addition to the IQR, other names for it include the midspread, middle 50%, fourth spread, and H-spread.

To find the five-number summary and interquartile range for this data set, we first need to find the quartiles.

Step 1: Find the median (Q2)

When a data collection is sorted from least to largest, the median is the midway value. Since there are 12 values in this data set, the median is the average of the sixth and seventh values:

Median (Q2) = (50 + 51)/2 = 50.5

Step 2: Find the lower quartile (Q1)

The lower quartile is the median of the lower half of the data set. Since there are 6 values below the median, we take the median of those values:

Q1 = (38 + 39)/2 = 38.5

Step 3: Find the upper quartile (Q3)

The upper quartile is the median of the upper half of the data set. Since there are 6 values above the median, we take the median of those values:

Q3 = (53 + 53)/2 = 53

Now we have all the information we need to construct the five-number summary and interquartile range:

Minimum: 36

Lower quartile (Q1): 38.5

Median (Q2): 50.5

Upper quartile (Q3): 53

Maximum: 57

Interquartile range (IQR) = Q3 - Q1 = 53 - 38.5 = 14.5

the five-number summary for this data set is 36, 38.5, 50.5, 53, and 57, and the interquartile range is 14.5.

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Answer:

1 , 2

Step-by-step explanation:

Since 0.506 is a decimal, any whole number would be greater.

Answer:

8,791- 2,899= 5892

Step-by-step explanation:

Melinda ran 5,892 more meters on monday than tuesday

Answer:

option 2

Step-by-step explanation:

the cosine rule is

cos A = b² + c² - a² / 2bc

so, A is x°

a is 41

b is 37

c is 63

solving the equation will give you the value of x°

Answer:

3/10

Step-by-step explanation:

Turn 1 4/5 into an improper fraction.

1/1 + 4/5

5/5 + 4/5

9/5.

Than divide by 6.

9/5 / 6/1

Get the reciprocal:

9/5 * 1/6

9/30

Simplify.

3/10

Answer:

3/10  or in decimal from 0.3

Step-by-step explanation:

multiply the denominator ( the bottom number of the fraction) in this case 5 by the whole number in this case 6

Then simplify

Hope this helps

The radius of the pool is 9.01 m.

Given,

In the question:

A circular pool is surrounded by a brick walkway 3 m wide.

The area of the walk- way is 198 m^2.

To find the Radius of the pool.

Now, According to the question:

"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".

Let R = Radius of the pool

Area of the circle bounded by the outside edge of the walkway is:

\(\pi\)(R +3)^2

Area of the pool is:

\(\pi R^2\)

Now, Our equation is:;

\(\pi\)(R +3)^2 - \(\pi R^2\) = 198

\(\pi\)((R+3)^2 - \(R^2\)) = 198

Open the inner bracket :

\(\pi\)(\(R^2+6R+9-R^2\)) = 198

\(\pi\)(6R +9) = 198

6R+9 = 198/\(\pi\)

6R = 198/\(\pi\) - 9

R = (198/\(\pi\) - 9)/6

R = (198/(3.14) - 9)/6

R = (63.057 - 9)/6

R = 54.057/6

R = 9.01 meters

Hence, The radius of the pool is 9.01 m.

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Answer: 113.4 miles

Step-by-step explanation:

I think this correct because 7.56 x 5 = 37.8   then 21 days is 3 weeks so 37.8 x 3 = 113.4

The area of the third side of the triangle is either 20 square unit or 12 square units.

Triangle:

in math, triangle refers a simple closed curve made of three line segments and it has three vertices, three sides and three angles.

Given,

Two sides of a right triangle measure 2 units and 4  units.

And we need to find the area of the square that shares a side with the third side of the triangle  ​

Let us consider is  Two sides of a right triangle measure 2 units and 4  units.

Here if sides are perpendicular sides, then by using Pythagorean theorem

=> third side² = 2² + 4²

When we simplify this one, then we get,

=> third side² = 4 + 16

So, the  third side² = 20

Then the area of the square that shares a side with the third side of the triangle =  third side² = 20 sq units

Similarly, if 4  units is hypotenuse side, then by using Pythagorean theorem, the third side is calculated as,

=> third side² = 4² - 2²

And when we simplify this one, then we get,

=> third side² = 16 - 4

Therefore, the third side² = 12

And the area of the square that shares a side with the third side of the triangle =  third side² = 12 sq units

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Answer: B) 2(x + 3) - 1

Answer:

I think its answer b

Step-by-step explanation:

in not sure what the question is asking but b is the only answer equal to 2z+5. Im not sure if thats right though. check it on m a t h way.

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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The actual dimensions of Abigail's house are 18 ft by 20 ft.

Abigail's house is represented by a scale drawing with dimensions of 9 cm by 10 cm. We are told that 6 cm on the scale drawing equals 12 ft. To find the actual dimensions of Abigail's house, we need to determine the scale factor.

First, we calculate the scale factor by dividing the actual length (12 ft) by the corresponding length on the scale drawing (6 cm). The scale factor is 12 ft / 6 cm = 2 ft/cm.

Next, we can use the scale factor to find the actual dimensions of Abigail's house. We multiply each dimension on the scale drawing by the scale factor.

The actual length of Abigail's house is 9 cm * 2 ft/cm = 18 ft.
The actual width of Abigail's house is 10 cm * 2 ft/cm = 20 ft.

Therefore, the actual dimensions of Abigail's house are 18 ft by 20 ft.

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Answer- 50 feet

Step-by-step explanation:

1 times 6 equals 6

n times 6 equals 300

solve for n

Step-by-step explanation:

\( \sqrt{y3} \times \sqrt{y3} \)

\( \sqrt{y3 \times y3} \)

\( \sqrt{y3 + 3} \)

\( \sqrt{y6} \)

The function is a sine function and, the height of the ball at equilibrium is a feet

The function of the height is given as:

h = a sin(b (t - h)) k

The above function is a sine function, and the amplitude of the function is the variable a

The amplitude is the height of the ball at equilibrium

Hence, the height of the ball at equilibrium is a feet

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Answer:

D

Step-by-step explanation:

Answer:

124-v=175

124-175=v

v= -51

Answer:

t ≥ 8.1

Step-by-step explanation:

70 ≤ 10t-11

Move the 11 to the left side of the equation, changing the sign (of the 11) to do that.

70 + 11 ≤ 10t

81 ≤ 10t

Divide both sides by 10.

8.1 ≤ t

I flip the equation so the variable is on the left: t ≥ 8.1

Since you didn't include the answer options, I'm not sure if they wanted us to solve for x and write the answer like that, or to write it like this:

t= [8.1, infinity)

Hope this helps! If it's possible though next time could you include the answer options for the problem answerers? It would help so much as we wouldn't have to do extra work and we'd know what format they want the answer to be in.

Answer:

solve for x. 2/3x = -2/3. X=1

Answer: 65.7 x 10^4 should be your answer.

Step-by-step explanation: THIS IS THE CORRECT ANSWER

Answer:

6.31*10*10*10*10*10=631000

2.6*10*10*10*10=26000

631000+26000=657000

Step-by-step explanation:

the answer

Answer:

see below

Step-by-step explanation:

sin 67 = opp/hyp = x/20

20 * sin 67 = x