Please solve this
the difference of twice a number and 6 is greater than -25. Write as an inequality

The features of the sine function are given as follows:

The equation is given as follows:

y = 3sin(0.25πx) + 1.

The standard definition of a sine function is given as follows:

y = Asin(Bx) + C.

The parameters are given as follows:

The minimum value is of -2, while the maximum value is of 4, hence the midline is given as follows:

y = (-2 + 4)/2

y = 1.

The difference between the minimum and the maximum value is of 6 units, hence the amplitude is obtained as follows:

2A = 6

A = 3.

The function with no vertical shift would oscillate between -A = -3 and A = 3, while this function oscillates between -2 and 4, hence the vertical shift is given as follows:

C = 1.

The shortest distance between repetitions of the function is of 8 units, hence the period is of 8, the frequency is of 1/8, and the coefficient B is given as follows:

2π/B = 8

8B = 2π

B = π/4.

B = 0.25π.

Hence the function is defined as follows:

y = 3sin(0.25πx) + 1.

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The conversion of the milliliters to liters the value of 100 milliliters is equal to ( 0.1 ) liters .

Converting milliliters to liters we have ,

1 liters is equal to 1000 milliliters

⇒ 1000 milliliters = 1 liters

⇒ 1 milliliters = ( 1 / 1000 ) liters

⇒ 100 milliliters = ( 100 / 1000 ) liters

⇒ 100 milliliters = ( 1 / 10 ) liters

⇒ 100 milliliters = ( 0.1 ) liters

Therefore, the value of the converting the 100 milliliters to liters is equal to  ( 0.1 ) liters .

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These roots are also complex conjugates, so the step response will be oscillatory with a decay factor. The response will look like a damped sinusoid. the value of s1 and s2 is 25i and -25j.

Here are the solutions for the given transfer functions and the corresponding step response plots:

G(s) =[tex]400 / (s^2 + 12s + 400)[/tex]

First, let's find the roots of the denominator:

[tex]s^2 + 12s + 400 = 0[/tex]

Using the quadratic formula, we get:

s1 = -6 + 14.96j

s2 = -6 - 14.96j

These roots are complex conjugates, so the step response will be oscillatory with a decay factor. The response will look like a damped sinusoid.

G(s) =[tex]900 / (s^2 + 90s + 900)[/tex]

The denominator can be factored as [tex](s + 45)^2[/tex]. Therefore, the roots are:

s1 = s2 = -45

Since both roots are negative and equal, the response will be critically damped.

G(s) = [tex]225 / (s^2 + 30s + 225)[/tex]

The denominator can be factored as[tex](s + 15)^2[/tex]. Therefore, the roots are:

s1 = s2 = -15

Again, since both roots are negative and equal, the response will be critically damped.

G(s) = [tex]625 / (s^2 + 625)[/tex]

The denominator can be factored as (s + 25j)(s - 25j). Therefore, the roots are:

s1 = 25j

s2 = -25j

Note: The step response plots can be sketched by considering the damping ratio and natural frequency of each transfer function. For critically damped systems, the response reaches steady-state the fastest, but it also overshoots the most.

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The method to convert mililitres to deciliter is by multiplying the quantity in mililitres with 0.01.

Firstly know the full form of units being used in the question. Here ml represents mililitres and dl represents deciliter. Now, we know that mililitres and deciliter are connected to each by the formula -

1 deciliter = 100 mililitres

So, 1 millilitre in deciliter will be = 1/100 deciliter

It can be written in decimal form as -

Quantity in deciliter = 0.01 deciliter

Let us say we have 1000 mililitres of milk which needs to be converted into deciliter.

So, Quantity in deciliter = 1000 × 0.01

Performing multiplication on Right Hand Side of the equation

Quantity of 1000 mililitres in deciliter = 10 deciliter.

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The value of 80 as fraction is 80/1.

To make 80 as a fraction, we need to place it over a denominator. The denominator can be any number as long as it is not equal to zero.

To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor (GCF), which is 10 in this case.

Therefore, the fraction 80 can be written as 80/1 or simplified as 8/1. This means that 80 is equivalent to 8 wholes or 8 times the unit.

In summary, 80 as a fraction is 80/1 or 8/1 when simplified.

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The sample means represented by the red lines below the curve do not include the actual population mean μ. Out of the 25 samples, 4 of them do not have the true proportion while 21 out of the 25 do have the true mean. This means that 84% of the samples contain the true mean. The closest confidence level is 80%.

The statement refers to a statistical concept where a sample mean is compared to the true population mean. The red lines under a curve represent sample means that do not include the actual population mean. Out of 25 samples, only 21 of them contain the true mean while 4 do not. This indicates that 84% of the samples have the true mean. The closest confidence level is 80%, which suggests that there is an 80% probability that the true mean falls within the interval estimate. This information is important in statistical analysis as it helps researchers understand the accuracy of their results and make more informed decisions.

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Answer: 9

Step-by-step explanation:

First plug in 3 for x.

Then you get 3^2

Now you solve and you get 9. Its the same as saying 3 * 3 = 9.

Answer:

No

Step-by-step explanation:

The way to show this expression is 6(4+5) because "and" is showing the distributive property.

The required converted value of the temperature Fahrenheit to Celsius for the value 115°F is given by 46.1111°C .  

To convert Fahrenheit to Celsius use the following formula we have:

( F − 32 ) × ( 5 / 9 ) = °C

Substitute the 115 Fahrenheit to convert into Celsius we get,

= ( 115°F − 32 ) × ( 5 / 9 )

= ( 83 )  × ( 5 / 9 )

= ( 415 / 9 )°C

= 46.1111 °C

Therefore, the converted unit of Fahrenheit to Celsius using standard relation between the two is equal to 46.1111°C .

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Answer:

ABCD is a kite, therefore, ΔAEC is a right Δ

Step-by-step explanation:

Look at ΔABD and ΔACD, they both have the same side AD, AB = AC while BD = CD. Therefore ΔABD and ΔACD are congruent or basically the same triangle.

Both ΔABD and ΔACD will form a quadrilateral, which can be called a kite.

Definition: A kite is a quadrilateral with two pairs of adjacent sides, congruent.

Therefore, a kite has perpendicular diagonals, where one bisects the other.

So AD is perpendicular to BC

so the angles AEC, ABD, DEC, DEB are all right angles.

Hope this helps.

Let's call the smaller number "x" and the larger number "y".

We know that:

y + x = 26 (since the total of the two numbers is 26)

and

y = 10 + 3x (since the larger number is 10 more than triple the smaller number)

We can substitute the second equation into the first equation to get:

(10 + 3x) + x = 26

Simplifying, we get:

4x + 10 = 26

Subtracting 10 from both sides, we get:

4x = 16

Dividing both sides by 4, we get:

x = 4

Now that we know x is 4, we can use the second equation to find y:

y = 10 + 3x

y = 10 + 3(4)

y = 22

Therefore, the two numbers are 4 and 22.

it will take them both 600 seconds to ice 35 cupcakes.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Here,  Ann can ice a cupcake in 30 seconds,

Then, the total number of cupcakes iced by Ann is,

t/30 cupcakes

Similarly, If Sarah can ice a cupcake in 40 seconds,

Then, the total number of cupcakes iced by Sarah is

t/40 cupcakes,

Hence, For them to ice 35 cupcakes together, then;

t/30 +  t/40 = 35

where t is the times taken by both of them to ice 35cupcakes

40t+30t/1200 = 35

70t/1200 = 35

7t/120 = 35

t/120 = 5

t = 600

Thus, This shows that it will take them both 600seconds to ice 35 cupcakes.

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The two equations that describe the time x, when 405 cells would be expected are:

To solve for x in the first equation, we can divide both sides by 5 to get:

3^x = 81

Then, we can take the log base 3 of both sides to get:

x = log3(81)

x = 4

To solve for x in the second equation, we can use the properties of logarithms to simplify:

log3(405/5) = log3(81)

x = log3(81)

x = 4

Both equations give us the same answer of x = 4, which means that after 4 hours, there would be 405 cells on the plate if the cell growth is exponential.

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Answer:  30%

Step-by-step explanation:

The answer for this will be 30% as there are 15 left-handed men and 50 men in total. 30% of men are left handed therefore the possibility to chose a left handed man is 30%

Answer:

93.6

Step-by-step explanation:

First, convert the time you have to work with to hours:

1 hour 15 minutes = 1.25 hours

required speed to cover 117 miles in 1.25 hours =

distance ÷ time = 117 miles ÷ 1.25 hours = 93.6 miles per hour (apprx.)

The value of 122 pounds using conversion factor of 0.453592 kilograms is equal to 55.3382 kilograms .

Converting factor used to convert pounds to kilograms is equal to :

1 pounds = 0.453592 kilograms  ___( 1 )

Now multiply both the side of equation ( 1 ) by 122 to get the value of 122 pounds we have,

⇒ ( 122 multiply by 1 ) pounds = ( 122 multiply by 0.453592 ) kilograms

⇒ 122 pounds = 55.338224 kilograms

⇒ 122 pounds = 55.3382 kilograms

Therefore, the value after converting pounds to kilograms for 122 pounds is equal to 55.3382 kilograms .

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Answer:Using sine law, the value of k in the triangle KLM to the nearest tenth is 2.0 inches.

How to use sine law to find sides of a triangle?

Using sine law,

k / sin K = m / sin M

Therefore,

k = ?

K = 21 degrees

M = 180 - 21 - 88 = 71 degrees

m = 5.3 inches

Hence,

k / sin 21 = 5.3 / sin 71°

cross multiply

5.3 sin 21 = k sin 71°

5.3 × 0.35836794954 = 0.94551857559k

1.89935013259 / 0.94551857559 = k

k = 2.00846113168

k = 2.0 inches

Step-by-step explanation:

The area of the circle is  113.04 square units.

The area of a circle of radius R is given by:

A = π*R²

Where π = 3.14

Here we know that the center is at (2, 2) and the point (8, 2) is on the circle, then the radius is:

R = √( (2 - 2)² + (8 - 2)²)

R = 6

Then the area of the circle is:

A = 3.14*(6)² = 113.04 square units.

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Answer:

$9.25

Step-by-step explanation:

Let x be the original price of each ticket before the discount was taken. The discount is $1.50 off each ticket, so the price they actually paid for each ticket is x - 1.50. Since there are 6 tickets, the total price they paid for all 6 tickets is:

6(x - 1.50)

We know from the problem that the total price they paid for all 6 tickets was $46.50, so we can set up the following equation:

6(x - 1.50) = 46.50

Simplifying this equation, we get:

6x - 9 = 46.50

Adding 9 to both sides, we get:

6x = 55.50

Dividing both sides by 6, we get:

x = 9.25

Therefore, the original price of each ticket was $9.25.

Answer:

9.25$

Step-by-step explanation:

Let x be the original price of each ticket before the discount was taken. The discount is $1.50 off each ticket, so the price they actually paid for each ticket is x - 1.50. Since there are 6 tickets, the total price they paid for all 6 tickets is:

6(x - 1.50)

We know from the problem that the total price they paid for all 6 tickets was $46.50, so we can set up the following equation:

6(x - 1.50) = 46.50

Simplifying this equation, we get:

6x - 9 = 46.50

Adding 9 to both sides, we get:

6x = 55.50

Dividing both sides by 6, we get:

x = 9.25

Therefore, the original price of each ticket was $9.25.

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Answer:

Step-by-step explanation:

as the driver makes 12 delivery in 3 hrs so the driver makes 12/3 delivery in 1 hr that is 4 delivery in 1 hour so he makes 5*4= 20 delivery in 5 hours

So, the signs we need to fill in are: (y + 3)(x - 1)

Factors are sets of digits that when added together, yield another integer. For instance: Since 2 + 3 Equals 6, the digits 2 and 3 seem to be factors of 6. Many things can affect a number!

To factor xy - y + 3x - 3, we can group the first two terms and the last two terms:

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

Notice that (x - 1) is a common factor of both terms, so we can factor it out:

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

So, we have:

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

To fill in the blanks, we use the factors we found:

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

So, the signs we need to fill in are:

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

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The value of the triple integral xy dV over the solid tetrahedron with vertices (0,0,0), (9,0,0), (0,8,0), and (0,0,6) is approximately 490.5. The limits of integration for x, y, and z are 0 to 9, 0 to 8 - (8/9)x, and 0 to 6 - (1/3)x - (1/4)y, respectively.

To evaluate the triple integral, we need to set up the limits of integration for the three variables x, y, and z. Since the solid is a tetrahedron with vertices at (0,0,0), (9,0,0), (0,8,0), and (0,0,6), we can write the limits of integration as follows:

0 ≤ x ≤ 9

0 ≤ y ≤ 8 - (8/9)x

0 ≤ z ≤ 6 - (1/3)x - (1/4)y

The limits of integration for x are straightforward, as x ranges from 0 to 9. For y, we need to consider that the solid is bounded by the x-axis (y=0), the y-axis (x=0), and two planes that intersect along the line x=9, y=8. The equation of the plane containing the points (0,8,0), (9,0,0), and (0,0,6) is given by 8x/9 + 6z/9 = 8, which simplifies to y = 8 - (8/9)x - (2/3)z. Solving for z, we get z = (3/2)(4 - (3/4)x - (3/4)y), so the limits of integration for z depend on both x and y.

With these limits of integration, we can set up the triple integral as follows:

∭E xy dV = ∫0⁹ ∫0(⁸-(⁸/⁹)ˣ) ∫0(⁶-(¹/³)ˣ-(¹/⁴)ʸ) xy dz dy dx

Evaluating the innermost integral with respect to z, we get:

∫0(⁶-(¹/³)ˣ-(¹/⁴)ʸ) xy dz = xyz |z=0 to z=(6-(1/3)x-(1/4)y) = x y (6 - (1/3)x - (1/4)y)

Substituting this expression back into the triple integral and evaluating the remaining integrals, we get:

∭E xy dV = ∫0⁹ ∫0(⁸-(⁸/⁹)ˣ) x y (6 - (1/3)x - (1/4)y) dy dx

= ∫0⁹ x [(3/4)y²(8/9 - (1/3)x) - (1/12)y³(8/9 - (1/3)x)] |y=0 to y=(8-(8/9)x) dx

= ∫0⁹ x [(3/4)(8/9 - (1/3)x)³ - (1/12)(8/9 - (1/3)x)⁴] dx

≈ 490.5

Therefore, the value of the triple integral is approximately 490.5

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Answer:

Michelle has 18.9 yards of string. She cuts the string into 5 pieces of equal length. How long is each piece?

18.9 ÷ 5

Step-by-step explanation:

You're welcome.

To value of volume 750 ml after converting to cups is 3.17 cups.

The conversion is useful when you need to measure liquids in cups instead of milliliters, especially if you are following a recipe that is written in cups instead of milliliters.

To convert 750ml to cups, you need to know that one cup is equal to 236.6ml. Knowing how to make the conversion can help you get the right measurements and produce accurate results in your cooking or baking. To do the conversion, divide 750 by 236.6 to get the answer in cups.

So, 750ml / 236.6ml per cup = 3.17 cups (rounded to the nearest hundredth).

Therefore, volume of 750ml is equivalent to 3.17 cups.

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The factors of 37 are 1 and 37. This is because 1 is a factor of every number, and 37 is a prime number that is only divisible by 1 and itself.

The factors of 37 are the numbers that can be multiplied together to get 37 as a product. In other words, the factors of 37 are the divisors of 37 that divide it evenly without a remainder.

Therefore, 1 and 37 are the only numbers that can be multiplied together to get 37 as a product.

It is important to note that the factors of a number are always positive integers since negative numbers cannot be multiplied together to give a positive result.

Additionally, every number has at least two factors, 1 and itself, and some numbers may have many more factors depending on their prime factorization.

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The proof for the given statements is as follows:

Statements:

1. overline AB || overline PQ

2. overline AP || overline BQ

3. overline BP || overline CQ

Reasons:

1. Since AB || PO, then AB || PQ

2. Since AP || BQ and AB || PQ, then AP || BQ

3. Since BP || CQ and AB || PQ, then BP || CQ

Therefore, by the properties of parallel lines, we can conclude that angle ABP congruent to angle BCQ and angle BAP congruent to angle CBO. Since angles ABP and BCQ are congruent, and angles BAP and CBO are congruent, this implies that angle ABP is congruent to angle QPB, and angle CBQ is congruent to angle PQB.

By the definition of similar triangles, two triangles are said to be similar if their corresponding angles are congruent. Therefore, triangle ABP is similar to triangle QPB, which is similar to triangle BCQ, proving the statement.

[tex]3/x - 2 -5/2 -4/x - 2[/tex] is equivalent to [tex](-15x + 40)/2(x-2)(x-2)[/tex]

[tex]3/x - 2 - 5/2 - 4/x - 2[/tex] can be simplified by finding a common denominator:

LCD = 2(x-2)

So we need to multiply the first fraction by 2/2 and the second fraction by (x-2)/(x-2):

[tex]3/x - 2 * 2/2 - 5/2 - 4/x - 2 * (x-2)/(x-2)[/tex]

[tex]= (6 - 2(x-2))/2(x-2) - 5/2 - (4x-8)/(x-2)(x-2)\\= (-2x + 14)/2(x-2) - 5/2 - (4x-8)/(x-2)(x-2)\\= (-2x + 14 - 5(x-2) - 2(4x-8))/2(x-2)(x-2)\\= (-2x + 14 - 5x + 10 - 8x + 16)/2(x-2)(x-2)\\= (-15x + 40)/2(x-2)(x-2)[/tex]

Therefore, [tex]3/x - 2 -5/2 - 4/x - 2[/tex] is equivalent to [tex](-15x + 40)/2(x-2)(x-2).[/tex]

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Reena's original speed as compared to her new speed concludes that Reena arrived at her destination in her planned amount of time which is 20 hours.

What is speed?

The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

Reena's original plan was to drive for 20 hours at an average speed of 50 mph, which means that she would have covered a distance of -

Distance = Speed x Time

Distance = 50 mph x 20 hours

Distance = 1000 miles

Now calculate the distance that Reena actually traveled.

She drove at an average speed of 60 mph for the first 5 hours, covering a distance of -

Distance1 = Speed1 x Time1

Distance1 = 60 mph x 5 hours

Distance1 = 300 miles

For the remaining 15 hours of the journey, she drove at an average speed of 50 mph, covering a distance of -

Distance2 = Speed2 x Time2

Distance2 = 50 mph x 15 hours

Distance2 = 750 miles

The total distance that Reena traveled is the sum of the two distances -

Total Distance = Distance1 + Distance2

Total Distance = 300 miles + 750 miles

Total Distance = 1050 miles

Reena actually traveled 1050 miles to reach Chicago, which is 50 miles more than her planned distance of 1000 miles.

To calculate how much earlier Reena arrived in Chicago than she originally planned, we need to compare the time it took her to travel the two distances -

Time1 = Distance1 / Speed1

Time1 = 300 miles / 60 mph

Time1 = 5 hours

Time2 = Distance2 / Speed2

Time2 = 750 miles / 50 mph

Time2 = 15 hours

Total Time = Time1 + Time2

Total Time = 5 hours + 15 hours

Total Time = 20 hours

Reena arrived in Chicago in 20 hours, which was exactly the same as her original plan.

Therefore, she did not arrive earlier than planned.

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