Which numbers are solutions of the inequality below? (Select all that apply.)
x − 2 < −8

a) 6

b) −6

c) 4

d) −8

Answer:

p^(m+n)

Step-by-step explanation:

p^m * p^n

We know that when they are multiplied when the bases are the same, we add the exponents

p^(m+n)

Step-by-step explanation:

The given inequality is :

x – 2y > 16

We need to draw the graph of this inequality.

If x = 0,

-2y>16

y>-8

If y = 0,

x>16

So, we can draw the graph as follows :

Parallel lines have the same slope, so as long as the line has the same slope (y = -4x +b where b is any constant number other than 3) it is parallel.

Answer:

256/7 = 36 4/7 =36.571

Step-by-step explanation:

Answer:

$45.87

Step-by-step explanation:

The formula we would use would be f(x)=107.63/3 + 9.99.

Which roughly divides out to 35.88 + 9.99

Which equals $45.87.

The ratios equivalent to 7:6 can be expressed as a) 14 : 12

The concept that will be used here is ratio. The proportion is an equation that demonstrates how two ratios are equivalent, but the notion of ratio defines us to compare two quantities.

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

From the  ratios equivalent to 7:6 which can be written as 7/6

Then we consider option A , 14/12 = 7/6 ( divide the denominator and numerator by factor of 2.

Option B; 2 : 18 = 2/18 = 1/9

option C : 28 : 26 = 16/ 13

option D : 30 : 25 = 6/5

Therefore, option A is correct.

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Missing options:

a) 14 : 12

b) 2 : 18

c) 28 : 26

d) 30 : 25

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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The given function  f(x) = x² + 2x when x <0 and f(x) = x³ - 2x when x > 0  is continuous at x=0

In mathematics, The function is called as continuous at the particular value of x,  if right hand limit, left hand limit and the value of function at x all are equal.

RHL   = LHL  = F(x)

Limit exist and continuous

Given that,

F(x)  = x² + 2x       {x ≤ 0}

        = x³ - 2x      { x > 0}  

To check whether it is continuous at x = 0

First taking LHL,

F(0)  = 0² + 2x0

        =  0

Now, taking RHL

F(0)  =  0³ - 2x0

At x = 0

F(0)  = 0² + 2x0

        =  0

RHL = LHL = F(0)

Hence, the given function is continuous at x =0

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The values of x is 6 and y is (-6).

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Given:

-4x-5y=6............(1)

9x+7y=12..................(2)

Solving Equation (1) and (2) we get

-36 x  - 45y = 54

36x + 28y = 48

____________

         -17y= 102

              y= -6.

and, -4x -5y= 6

-4x - 5(-6) = 6

-4x + 30 = 6

-4x = 6-30

-4x = -24

x= 6

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A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  =  $272,090

      A) - Calculate the Percentage of the Value Remaining After the Decrease

       B) - Calculate the NEW VALUE of the house

A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE

      100%  -  9%  =  91%

        0.91

B) - Calculate the NEW VALUE of the house:

NEW VALUE  =  OLD VALUE  *  REMAINING PERCENTAGE

NEW VALUE  =  299,000  *  0.91

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  = $272,090

I hope it helps!

Answer:

1 cup of hot chocolate is $2.5

1 slice of pumpkin pie is $2.5

Step-by-step explanation:

Represent Pumpkin Pie with P and Hot Chocolate with C:

Marty:

\(2P + 2H = 10\)

Patty:

\(4P + 5H = 22.5\)

So, we have the following set of equation:

\(2P + 2H = 10\) -------- (1)

\(4P + 5H = 22.5\) -------- (2)

Multiply the first equation by 2

\(2(2P + 2H = 10)\)

\(4P + 4H = 20\) -------- (3)

Subtract (3) from (2)

\(4P + 5H = 22.5\)

\(4P + 4H = 20\)

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

\(5H - 4H = 22.5 - 20\)

\(H = 2.5\)

Substitute 2.5 for H in \(2P + 2H = 10\)

\(2P + 2 * 2.5 = 10\)

\(2P + 5 = 10\)

\(2P = 10 - 5\)

\(2P = 5\)

Divide through by 2

\(P = \frac{5}{2}\)

\(P=2.5\)

Hence, 1 cup of hot chocolate is $2.5 and 1 slice of pumpkin pie is $2.5

Answer:

NO

Step-by-step explanation:

I've already told you, it is closer to 1 than 1.25

The period of the sound wave created by the tuba is approximately 0.0134 seconds.

The speed of sound in air is given as 343 meters per second. The formula relating the speed of sound, wavelength, and period of a wave is:

v = λ × f

Where:

v = speed of sound (343 m/s)

λ = wavelength (4.61 m)

f = frequency (unknown)

To find the period, we need to determine the frequency of the sound wave. The period (T) is the reciprocal of the frequency (f), so we can rewrite the formula as:

v = λ / T

Rearranging the equation to solve for the period (T), we get:

T = λ / v

Substituting the given values, we have:

T = 4.61 m / 343 m/s

Calculating the value, we find:

T ≈ 0.0134 seconds

Therefore, the period of the sound wave created by the tuba is approximately 0.0134 seconds.

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Answer:

x=17

Step-by-step explanation:

10x-22=8x+12

-8x        -8x

2x-22=12

+22      +22

2x=34

x=17

Answer:

Step-by-step explanation:

Given:

Use tangent to solve for h:

Correct choice is B

The number of times the Team Olympus could have tied is not given in the below options

Given data ,

Let's use "W" for the number of victories and "T" for the number of ties. The information available indicates that Team Olympus played 19 games and earned a total of 28 points.

Team Olympus receives three points for each victory, so three victories would result in a total of nine points.

Team Olympus receives one point for each tie, making the sum of the tie-related points (T) equal to one times the number of ties.

We may construct the following equation using the information provided:

3W + 1T = 28   be equation (1)

Now , Since Team Olympus played 19 games in total, the total number of games (W + T) should be equal to 19.

W + T = 19   be equation (2)

Subtracting equation (2) from equation (1) , we get

2W = 9

Divide by 2 on both sides , we get

W = 4.5 wins

And , the supplied possibilities (3, 4, 2, 5, 0) do not add up to a total of 28 points, hence none of them are acceptable answers for Team Olympus.

Hence , in this situation, Team Olympus could not have tied many times

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Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Sorry. I needed to answer this question to get access.

The area of the composite figure is 122.24 units².

The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.

Hence,

area of the composite figure = area of the rectangle + 2(area of semi circle)

Therefore,

area of the composite figure = 9 × 8 + 2(1 / 2 πr²)

area of the composite figure = 72 + πr²

where

r = 8 / 2 = 4 units

Therefore,

area of the composite figure = 72 + 3.14 × 4²

area of the composite figure = 72 + 3.14 × 16

area of the composite figure = 72 + 50.24

area of the composite figure = 122.24 units²

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Option C - y = cos(x + 5π) is the equation that most closely represents the graph. See attached graph.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal.

The graph of y = cos(x + 5π) is a cosine function that is shifted horizontally 5 units to the left compared to the standard cosine function.

The function is a periodic function that oscillates between -1 and 1, with each cycle shifted 5 units to the left compared to the standard cosine function.

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Answer:

b. 4

c. 90⁰

Step-by-step explanation:

a. is in the diagram

The answer to the given question is Option B.

At no point can we distinguish between diamonds and hearts, as we are only interested in finding red cards. as a result,

The wrong statement is:

For a given number of selections, we can use Joseph's graph to find the number of diamonds that he has picked so far.  

Therefore, the ultimate answer to the given question is Option B.

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The question is incorrect, The correct question is

Joseph selects a card from a standard deck of 52 cards and then replaces it afterwards. He decides to record the total number of red cards that he selects and calculates the proportion of red cards that he has selected so far after each pick. He then constructs a graph to visualize his results. Which of the following statements is FALSE?

A. The theoretical probability for selecting a red card in each pick is 0.5.

B. For a given number of selections, we can use Joseph's graph to find the number of diamonds that he has picked so far.

C. This is an example of the law of large numbers.

D. The relative frequency of selecting a red card changes with the increase in number of selections.

Using a system of equations, for Madelyn to add a certain number of charms to her bracelet, where the cost will be the same at either jewelry shop, the number of chams would be 5.

When two or more equations are solved concurrently, they are described as a system of equations.

Another description of a system of equations is simultaneous equations.

                                       Oxford Fine    Espinoza

Unit cost per charm              $12                 $14

The cost of the bracelet      $40                $30

Let the number of charms = c

Equation 1: (Costs at Oxford Fine) 12c + 40

Equation 2: (Costs at Espinoza) 14c + 30

For the cost to be the same at either jewelry shop, Equation 1 must equal Equation 2:

12c + 40 = 14c + 30

-2c = -10

c = 5

Check:

12c + 40

12(5) + 40 = $100

14c + 30

14(5) + 30 = $100

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Answer:

4 * 24 - 9 = 87 cookies left.

Step-by-step explanation:

Answer:

\(\lim_{t \to \ 16} (t-16)(t-4) =0\)

Step-by-step explanation:

g(t)= (t-16)(t-4)

(a) Then, we have,

t                       g(t)

15.9                 -1.19

15.99            -0.1199

15.999       -0.011999

Also, we have,

t                         g(t)

16.1                     1.21

16.01                 0.1201

16.001             0.012001

(b) We can see, from the above table that as 't' tends to 16 from the left hand side, the value of g(t)= (t-16)(t-4) is tending to 0 from the negative direction.

Similarly, from the second table, we can see that as 't' tends to 16 from the right hand side, the value of g(t)= (t-16)(t-4) is tending to 0 from the positive direction.

Thus, we can say that \(\lim_{t \to \ 16-} (t-16)(t-4)\) & \(\lim_{t \to \ 16+} (t-16)(t-4)\), i.e., the left hand limit and right hand limit of g(t)= (t-16)(t-4), at t=16, both exist and is both equal to 0.

Since both these limits exist and are equal, we can say, \(\lim_{t \to \ 16-} (t-16)(t-4) = \lim_{t \to \ 16+} (t-16)(t-4) = \lim_{t \to \ 16} (t-16)(t-4) = 0\)

Answer:

Step-by-step explanation:

3 times 0.1= 0.3

4 times .01=0.04

6 times 0.001= 0.006

Answer:

B and C are the same angles so if B is 60 so is C

Answer:

b= 60

c= 60

Step-by-step explanation:

<b and 120 form a straight line so the add to 180

b+120 =180

b = 180-120

b = 60

angles b and c are alternate interior angles so they are equal

b = c= 60

Answer:

m

Step-by-step explanation: