Let f represent any number in the set of even integers greater than 4. Which
inequality is true for all values of f? *

Answer:

Please attach a photo to this so I can better answer your question

Answer:

Step-by-step explanation:

This is a function as each input value has exactly one output according to definition of functions.

Rick's deposit in first 3 weeks is  $39  

1. Rick's deposit in the second week = 3  times($3)

                                                             = 3(3)

                                                             = 9

                                                             = \(3^{2}\)

The exponential expression for Rick's 2nd week deposit = \(3^{2}\)

Where,  Base  = 3

              Exponent = 2                                

2. Rick's deposit in 1st week = $3  

   Rick's deposit in 2nd week = 3 (3) = $9

   Rick's deposit in 3rd week =  3 (9) = $27  

   Rick's deposit in first 3 weeks = 3+9+27

                                                      = $39      

  Rick's deposit in all in the first 3 weeks is  $39  

3.   Rick's deposit for 15 weeks = \(3^{15}\)

                                                    = $1,43,48,907.

We know, no. of weeks in a year = 52

Rick's deposit for 52 weeks ( 1 year ) = 52 times of 3

                                                             \(=3^{52}\\= 6.4610819e+24\)

Since this is a huge number , Rick cannot keep up this savings plan for a year.

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The sketch for slope is attached below.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Point               Slopes

(1, 1)                     (a) 3

_                        (b) -3

_                        (c) -5/2

_                         (d) Undefined

a) Now, using slope intercept form

y - 1= 3 (x-1)

y- 1= 3x- 3

y= 3x - 2

(b) Equation of a line has a slope -3 is given by

y - 1= (-3) (x-1)

y-1 = 3- 3x

y = -3x + 4

(c) Equation of a line has a slope -5/2 is given by

y - 1= (-5/2) (x-1)

y-1 = -5/2x + 5/2

y= -5/2x + 7/2

(d) The line parallel to y axis and passes through given point : x=1

"undefined" means the line is vertical.

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14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°

A trigonometric equation is an equation that contains a trigonometric ration.

14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows

Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,

We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that

(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°

= 1² + 1² - 4cos²45°

We know that cos45° = 1/√2. So, we have

1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²

= 1 + 1 + 4/2

= 2 + 2

= 4

So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows

Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1

We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that

2(cos²θ - sin²θ) = 1

2(cos2θ) = 1

cos2θ = 1/2

Taking inverse cosine, we have that

2θ = cos⁻¹(1/2)

2θ = 30°

θ = 30°/2

θ = 15°

So, θ = 15°

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The absolute value function that matches the graph is given as follows:

y = -|x + 1| + 1.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex in this problem are given as follows:

(-1, 1).

Hence:

y = a|x + 1| + 1.

The function is reflected over the x-axis with a slope of -1, hence the leading coefficient a is given as follows:

a = -1.

Thus the function is:

y = -|x + 1| + 1.

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Answer:

5

Step-by-step explanation:

Common factor: 4. Divide 20 by 4 to get 5

Answer: X=5

Step-by-step explanation:

Since the triangles are similar shape-wise, then that means that the sides are going to be similar numerically.

12/4 got us 3, which is the side of that smaller triangle. Since we divided 12 by 4, then we need to divide 20 by 4 to get the unknown side. 20/4 is 5, therefore x is 5.

The flour and sugar coral that will be use to make the cookies is 2 1/4 cups.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this situation, Tucker is making cookies the recipe called for 1/3/4 cups of flour and 1/2cup of sugar.

The flour and sugar coral that will be use to make the cookies will be:

= 1 3/4 + 1/2

= 2 1/4

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Answer:

C. 15 bundles

Step-by-step explanation:

In this scenario, the okra seller intends selling his products in bundles of 3 and 5. This simply means that each bundle would either contain 3 okra or 5 okra.

Hence, to find the least number of okra that could be sold in these bundles, we would find the lowest common multiple (LCM) of 3 and 5.

LCM = 3 * 5

LCM = 15

Therefore, 15 is least number that okra can be packed in bundles of 3 and 5 because it's the lowest number that could be divided by both numbers at a time.

Answer:

6 hours and 40 minutes

Step-by-step explanation:

20 x 20 = 400

400 minutes is 6 2/3 hours.  

2/3 times 60 is 40 minutes.

6 hours and 40 minutes.

Helping in the name of Jesus.

Answer: 6 1/12

Step-by-step explanation:

Common denominator: 24

3 20/24 + 2 6/24

= 5 26/24

= 6 2/24

= 6 1/12

The number of inches by which each dimension must be increased is 10 inches.

Let length and width be increased by x.

so we get, the length = (10 + x) and breadth = (5 + x)

(10 + x)(5 + x) = 6 × 10 × 5

50 + 10 x + 5x + x² = 300

x² + 15x- 250 = 0

x² + 25x- 10x - 250 = 0

x  (x + 25) - 10 (x + 25) = 0

(x + 25)(x - 10) = 0

x = -25 is not the right choice as length cannot be negative.

so x = 10

so both dimensions should be increased by 10 inches.

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The complete question is -

A rectangular picture frame is 5 inches wide and 10 inches tall. You want to make the area 6 times as large by increasing the length and width by the same amount. Find the number of inches by which each dimension must be increased.

Answer: Thousand

The 4 is in the hundred thousand

The 3 is in the ten thousand

The 2 is in the thousand

The 0 is in the hundred

The 7 is in the tens

The 9 is in the ones

200.60 interest does andy’s account earn.

Let x be the amount of interest earned by Andy's account.

According to the problem, Andy's account earns 0.3% more interest than Marty's account, which means that Andy's account earns the same amount plus an additional 0.3% of that amount. Mathematically, we can express this as:

x = 200 + 0.3% of 200

Simplifying the right-hand side of the equation, we get:

x = 200 + 0.003 × 200

x = 200.60

Therefore, the answer is option 1: 200.60.

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The missing outcome is  TT, where both coin tosses result in tails. Option B.

When a coin is tossed twice, there are four possible outcomes: HH, HT, TH, and TT. Each toss of the coin can result in either a head (H) or a tail (T). Let's analyze the given options to determine which one is missing.

TH is not the missing outcome since it is already listed as one of the possible outcomes.

TT is the missing outcome. It represents the scenario where both coin tosses result in tails.

HT is not the missing outcome since it is already listed as one of the possible outcomes.

TH is also not the missing outcome since it is the same as option (A).

Therefore, the missing outcome is TT, which represents the scenario where both coin tosses result in tails. So Option B is correct.

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Answer:x^4+6

Step-by-step explanation:

you must combined both x squared to get x^4 and then add the opposite of -4 Which is +4  and what you do to one side you must do to the other therefore you add the 2 to it as well. in conclusion you get x^4+6. hope this helps:)

The net change between the indicated points is -1 and the average net change is  - 0 . 75 .

The difference between the two f(x) values is the net change.

The ratio between the net change and the change between the two input values is used to calculate average net change or average rate of change. The average rate of change can be calculated using the same two points and the formula: f(b)-f(a) / b-a .

The two given points on the graph are (1,4) and (5,1)

The net change is given by the change in the y -coordinates of the graph .

Δy = y₂ - y₁

Here y₂ = 1

and y₁ = 4

Therefore Δy = y₂ - y₁ or, Δy = 1 - 4 = - 3

Hence the net change is -3 units.

Now the average net change is calculate by the change in y divided by the change in x.

average net change  = Δy ÷ Δ x

again , average net change = -3 ÷ ( 5 - 1 ) = - 0 . 75

The average net change for the function is  - 0 . 75

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Answer:

Slope is 5/8.

y-intercept is (0, 5/2)

Step-by-step explanation:

Answer:

this is what u need to do

Step-by-step explanation:

first you need to put it into this

\(y=mx+b\)

so this is what is next

\(y=-8(5x)-20\)

\(y=5x+12\)

Answer:

A. -1

Step-by-sep explanation:

If PQ is perpendicular to RS, therefore, the slope of RS would be the negative reciprocal of PQ.

Slope of PQ:

P(6,-2), Q(-2, 8)

\( slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8 -(-2)}{-2 - 6} = \frac{10}{-8} = -\frac{5}{4} \)

Slope of RS:

Slope of RS is the reciprocal of the slope of PQ, since they are perpendicular.

⅘ is the reciprocal of -⁵/4. Therefore, the slope of RS = ⅘.

Use the slope formula to find the value of y in R(-4, 3), S(-9, y).

\( slope (m) = \frac{y_2 - y_1}{x_2 - x_1} \)

Plug in the value

\( \frac{4}{5} = \frac{y - 3}{-9 -(-4)} \)

\( \frac{4}{5} = \frac{y - 3}{-5} \)

Cross multiply

\( (4)(-5) = (y - 3)(5) \)

\( -20 = 5y - 15 \)

Add 15 to both sides

\( -20 + 15 = 5y - 15 + 15 \)

\( -5 = 5y \)

Divide both sides by 5

\( \frac{-5}{5} = \frac{5y}{5} \)

\( -1 = y \)

y = -1

Using simultaneous equation, the solution to the system of linear equations are 1223 $10 tickets, 1332 $20 tickets, and 763 $30 tickets were sold.

Let's solve the problem step by step.

Let:

x = number of $10 tickets sold

y = number of $20 tickets sold

z = number of $30 tickets sold

From the given information, we can form the following equations:

Equation 1: x + y + z = 3318 (Total number of tickets sold)

Equation 2: y = x + 109 (109 more $20 tickets than $10 tickets were sold)

Equation 3: 10x + 20y + 30z = 61760 (Total sales from ticket sales)

We can use these three equations to solve for the values of x, y, and z.

First, let's substitute Equation 2 into Equation 1:

x + (x + 109) + z = 3318

2x + 109 + z = 3318

2x + z = 3209 (Equation 4)

Now, let's substitute the value of y from Equation 2 into Equation 3:

10x + 20(x + 109) + 30z = 61760

10x + 20x + 2180 + 30z = 61760

30x + 30z = 59580

x + z = 1986 (Equation 5)

We now have a system of equations (Equations 4 and 5) with two variables (x and z). We can solve this system to find the values of x and z.

Multiplying Equation 4 by 30, and Equation 5 by 2, we get:

60x + 30z = 96270 (Equation 6)

2x + 2z = 3972 (Equation 7)

Now, subtract Equation 7 from Equation 6:

(60x + 30z) - (2x + 2z) = 96270 - 3972

58x + 28z = 92298

Simplifying, we have:

29x + 14z = 46149 (Equation 8)

Now, we can solve Equations 5 and 8 simultaneously:

x + z = 1986 (Equation 5)

29x + 14z = 46149 (Equation 8)

Multiplying Equation 5 by 14, and Equation 8 by 1, we get:

14x + 14z = 27804 (Equation 9)

29x + 14z = 46149 (Equation 8)

Now, subtract Equation 9 from Equation 8:

(29x + 14z) - (14x + 14z) = 46149 - 27804

15x = 18345

Divide both sides of the equation by 15:

x = 18345 / 15

x = 1223

Substituting the value of x into Equation 5, we can find z:

1223 + z = 1986

z = 1986 - 1223

z = 763

Now that we have the values of x and z, we can substitute them back into Equation 1 to find y:

1223 + y + 763 = 3318

y + 1986 = 3318

y = 3318 - 1986

y = 1332

Therefore, the solution to the problem is:

x = 1223 (number of $10 tickets sold)

y = 1332 (number of $20 tickets sold)

z = 763 (number of $30 tickets sold)

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The graphs of y = x + 1 and y = 2^x intersect at approximately (-0.3517, 0.6483) and (1.561, 3.561).

To find the points of intersection between the graphs of y = x + 1 and y = 2^x, we need to set the two equations equal to each other and solve for x.

Setting y = x + 1 equal to y = 2^x, we have:

x + 1 = 2^x

To solve this equation, we can use numerical methods or make observations to find the points of intersection. By observing the behavior of the two functions, we can see that they intersect at two points: one when x is negative, and another when x is positive.

For x < 0, the exponential function y = 2^x approaches 0 as x approaches negative infinity, while the linear function y = x + 1 continues to decrease as x becomes more negative. Thus, there is one point of intersection in this region.

For x > 0, the exponential function grows faster than the linear function, so there is another point of intersection in this region.

However, finding the exact values for the points of intersection requires numerical methods such as using a graphing calculator or solving the equation numerically. Approximate values for the points of intersection can be found as x ≈ -0.3517 and x ≈ 1.561.

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Answer:

She has 12 oranges left

Step-by-step explanation:

convert 3/5 to a decimal

3÷5=0.6

then multiply that by 20

0.6*20=12

Answer:

Answer is B

Step-by-step explanation:

because is if z is divided by 2

the z is variable and 2 is constant

so I automatically convert into given question

Find the total distance that Ramesh ran is 23km. His average running speed for the whole journey is 3 5/6 km/h.

To find the average speed,

We find the total distance and divide it by the total time.

During the first part of the run, she ran 3 hours at a speed of 7 km/h.  

To find the the distance she ran, multiply the speed times the time:  3 x 7 = 21 km.

From the second part of the run, she ran 2km.

So the total distance he ran is 21 + 2 = 23km.

The total time was 6 hours.

To find the the average speed;  

Divide 23 by 6 to get the average speed, which comes to 3 5/6 km/h.

hence, the average speed is 3 5/6 km/h.

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Step-by-step explanation:

21x²-2x +1/2 = 0

x² - 2x ×21 + 1/2× 21 = 0

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip