Please help me asap please

Answer:

Correct option: c. 8

Step-by-step explanation:

One-sided Limit

Given a piecewise function, we can find the limit when the variable approaches a specific value in the boundary of two pieces.

Special care must be taken to determine what function will be used to calculate the limit according to the conditions of the independent variable.

The given function p(t) has 3 pieces or subfunctions according to different conditions of t. We need to calculate:

\(\lim _{x\to 2^{-}}p(t)\)

We must find the subfunction where a value of t is close to 2 but is less than 2.

The correct subfunction is

\(p(t)=t^3\qquad -2\le t\le 2\)

Taking the limit:

\(\lim _{x\to 2^{-}}p(t)=\lim _{x\to 2}t^3=2^3=8\)

Correct option: c. 8

Conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.

       To graph the function g( x) = - f( x 4), we need to start with the graph of the function f( x) = | x| and  also apply the given  metamorphoses.  The function f( x) = | x| represents the absolute value function, which is a V- shaped graph symmetric with respect to the y- axis.  

First, we shift the graph of f( x) = | x| horizontally by 4 units to the left by replacing x with( x 4). This results in f( x 4).  Next, we multiply the entire function by-1, which reflects the graph vertically. This gives us- f( x 4).  Combining these  metamorphoses, we've the function g( x) = - f( x 4). To graph g( x), we can  compass a many points and  also draw the graph by connecting them.

Let's start with the original graph of f( x) = | x| and apply the  metamorphoses

For f( x)  x = -3,-2,-1, 0, 1, 2, 3  

f( x) =  3, 2, 1, 0, 1, 2, 3  For

g( x) = - f( x 4)  x = -7,-6,-5,-4,-3,-2,-1  

g( x) = -3,-2,-1, 0,-1,-2,-3

conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.

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The two prime numbers that add up to 100005, based on the properties of prime numbers would be 2 and 100003.

To find the two prime numbers, the relevant relationship would be  the Goldbach's Conjecture. This posits that every even number greater than 2 can be expressed as the sum of two prime numbers.

So, to write an odd number as the sum of two prime numbers, one of the prime numbers has to be 2 because we know that 2 is the only even prime number.

The other number would therefore be:

= 100005 - 2

= 100003

100003 is a prime number so the two prime numbers are 2 and 100003.

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Answer:

1.019 is the answer

Answer:

X times 3 + 4 =22

X=6

Step-by-step explanation:

22-4=18

18/3=6

This is the same as writing y = sqrt(4(x+5)) - 1

===============================================

Explanation:

The given graph appears to be a square root function.

The marked points on the curve are:

Reflect those points over the line y = x. This will have us swap the x and y coordinates.

Recall the process of reflecting over y = x means we're looking at the inverse. The inverse of a square root function is a quadratic.

----------

Let's find the quadratic curve that passes through (1,-4), (3,-1) and (5,4).

Plug the coordinates of each point into the template y = ax^2+bx+c.

For instance, plug in x = 1 and y = -4 to get...

y = ax^2+bx+c

-4 = a*1^2+b*1+c

-4 = a+b+c

Do the same for (3,-1) and you should get the equation -1 = 9a+3b+c

Repeat for (5,4) and you should get 4 = 25a+5b+c

We have this system of equations

Use substitution, elimination, or a matrix to solve that system. I'll skip steps, but you should get (a,b,c) = (1/4, 1/2, -19/4) as the solution to that system.

In other words

a = 1/4, b = 1/2, c = -19/4

We go from y = ax^2+bx+c to y = (1/4)x^2+(1/2)x-19/4

----------

Next we complete the square

y = (1/4)x^2+(1/2)x-19/4

y = (1/4)( x^2+2x )-19/4

y = (1/4)( x^2+2x+0 )-19/4

y = (1/4)( x^2+2x+1-1 )-19/4

y = (1/4)( (x^2+2x+1)-1 )-19/4

y = (1/4)( (x+1)^2-1 )-19/4

y = (1/4)(x+1)^2- 1/4 - 19/4

y = (1/4)(x+1)^2 + (-1-19)/4

y = (1/4)(x+1)^2 - 20/4

y = (1/4)(x+1)^2 - 5

The equation is in vertex form with (-1,-5) as the vertex. It's the lowest point on this parabola. Placing it into vertex form allows us to find the inverse fairly quickly.

----------

The last batch of steps is to find the inverse.

Swap x and y. Then solve for y.

y = (1/4)(x+1)^2 - 5

x = (1/4)(y+1)^2 - 5

x+5 = (1/4)(y+1)^2

(1/4)(y+1)^2 = x+5

(y+1)^2 = 4(x+5)

y+1 = sqrt(4(x+5))

y = sqrt(4(x+5)) - 1

I'll let the student check each point to confirm they are on the curve y = sqrt(4(x+5)) - 1.

You can also use a tool like GeoGebra to verify the answer.

Answer:

a > -2

Step-by-step explanation:

whenever we multiply, divide with "-" sign the inequality reverse its order

Answer:

27

Step-by-step explanation:

-5a = -5×-6= 30

30-b=30-3=27

Option D is the correct answer.

From the graph, we can conclude that,

1. The two lines are continuous lines and not broken lines. So, the inequality sign should be either ≤ or ≥.

2. The points on the lines of the shaded region are also included in the solution.

The only option that matches with the above conditions is option D. So, option D is the correct answer.

Let us verify it.

Now, let us consider a point that is inside the shaded region and also on any one line.

Let us take (0, 2).

Plug in 0 for x and 2 for y in each of the options and check which inequality holds true.

Considering the inequalities,

y ≥ 3x - 2

x + 2y ≤ 4

Solving we get,

2 ≥ 3(0) - 2

2 ≥ -2

x + 2y ≤ 4

0 + 2(2) ≤ 4

4 ≤ 4

Here, both inequalities are correct.

So, option D is the correct answer.

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The complete question is =

Which system of linear inequalities is graphed?

A. y < 3x-2

x + 2y ≥ 4

B. y < 3x - 2

x + 2y > 4

C. y > 3x - 2

x + 2y < 4

D. y ≥ 3x - 2

x + 2y ≤ 4

Answer:

c

Step-by-step explanation:

Answer:

The third answer from the top is correct

Step-by-step explanation:

There is six people that have a pulse of 140, in answer 3 there is six 140s, five 165s and so on.

Answer:

A. C=0.15*8

Step-by-step explanation:

3 pencils for $0.45, think about how much one pencil costs? so divide 0.45 by 3 and get 0.15 which basically means 1 pencils is 15 cents, multiply that by the amount of pencils fernando wants which is 8 and that's your equation

Answer:

2.64

Step-by-step explanation:

Answer:

sorry im not smart

Step-by-step explanation:

sorry

THis is akward lol

Answer:

49.5 miles per hour

Step-by-step explanation:

495÷10=49.5miles per hour

Answer:

19.2 points a game

Step-by-step explanation:

20% of 16 is 3.2. Knowing this it becomes a simple addition problem.

Answer:

5.96 with the repeating sign over the 6

Step-by-step explanation:

Answer:

6.

Step-by-step explanation:

Convert the decimal to a fraction:

2.33333....  = 2 1/3, so it is:

3 2/3 + 2 1/3

= 3 + 2 + 2/3 + 1/3

= 3 + 2 + 1

= 6.

The exact expression for g(x) is 2.25cos((2π/4.5)×(x-3.5)) - 4.

A function can be represented using a formula or an equation, and it can be graphed on a coordinate plane. The input values are typically represented on the x-axis and the output values on the y-axis.

From the given information, we know that the function g(x) has a maximum point at (3.5, -4) and a minimum point at (-1, -5).

The general form of a cosine function is f(x) = A×cos(Bx + C) + D, where A is the amplitude, B is the period, C is the phase shift, and D is the vertical shift.

Since the function has a maximum point at (3.5, -4), we know that the graph has been shifted to the left by 3.5 units. Therefore, we can write the function as g(x) = A×cos(B(x - 3.5)) + D.

Similarly, since the function has a minimum point at (-1, -5), we know that the graph has been shifted upwards by 1 unit. Therefore, we can write the function as g(x) = A×cos(B(x - 3.5)) - 4.

To determine A and B, we can use the fact that the period of the function is 4.5 units (the distance between the maximum and minimum points). Therefore, we have B = 2*pi/4.5.

To determine A, we can use the fact that the amplitude is half the distance between the maximum and minimum points, which is 0.5*(5-(-4)) = 4.5. Therefore, we have A = 4.5/2 = 2.25.

Substituting these values into the equation for g(x), we have:

g(x) = 2.25cos((2π/4.5)×(x-3.5)) - 4

Therefore, the exact expression for g(x) is:

g(x) = 2.25cos((2π/4.5)×(x-3.5)) - 4.

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Answer:

13.125 or 105/8u^3

Step-by-step explanation:

To find the volume of the box, you can use the formula of length times width time height.

3 * 5 = 15

2*2=4

15/4*7/2=105/8      which can be divided to become 13.125

Answer:

Step-by-step explanation

answer is f(x)=6x

The height of the projectile after 4 seconds is 421.28 ft.

The projectile is in the air for 8.015 seconds.

The horizontal distance traveled by the projectile is 881.77 ft.

The maximum height of the projectile is 464.1 ft.

To solve this problem, we can use the kinematic equations of motion for a projectile.

Let's assume that the initial height of the projectile is zero.

What is the height of the projectile after 4 seconds:

We can use the equation:

\(y = yo + vot + 1/2at^2\)

where

y = height of the projectile

yo = initial height (zero in this case)

vo = initial vertical velocity = 220 sin(60°) = 190.53 ft/sec

a = acceleration due to gravity \(= -32.2 ft/sec^2\) ( negative since it acts downwards)

t = time = 4 sec

Plugging in the values, we get:

\(y = 0 + (190.53)(4) + 1/2(-32.2)(4)^2 = 421.28 ft\)

Therefore, the height of the projectile after 4 seconds is 421.28 ft.

Long is the projectile in the air:

The time of flight of a projectile can be calculated using the equation:

t = 2vo sinθ / g

where θ is the launch angle and g is the acceleration due to gravity.

Plugging in the values, we get:

t = 2(220 sin(60°)) / 32.2 = 8.015 sec

Therefore, the projectile is in the air for 8.015 seconds.

Horizontal distance traveled by the projectile:

The horizontal distance traveled by the projectile can be calculated using the equation:

\(x = xo + vot + 1/2at^2\)

where

x = horizontal distance traveled

xo = initial horizontal position (zero in this case)

vo = initial horizontal velocity = 220 cos(60°) = 110 ft/sec

a = acceleration due to gravity (zero in the horizontal direction)

t = time = 8.015 sec

Plugging in the values, we get:

\(x = 0 + (110)(8.015) + 1/2(0)(8.015)^2 = 881.77 ft\)

Therefore, the horizontal distance traveled by the projectile is 881.77 ft.

Maximum height of the projectile:

The maximum height of a projectile can be calculated using the equation:

\(ymax = yo + (vo^2 sin^2 \theta ) / 2g\)

Plugging in the values, we get:\(ymax = 0 + (190.53^2 sin^2(60\degree )) / (2)(32.2) = 464.1 ft\)

Therefore, the maximum height of the projectile is 464.1 ft.

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6/15

you add everything she sells together. ( 3+1+6+5=15) Then you put the amount of ovens she sells above taht number, making it a fraction.

Answer:

College town race is 31% of the home town race.

Step-by-step explanation:

Length of hometown race = 3 miles

Length of college town race = 1492 meters

Since 1 meter = 0.0006214 miles

Therefore, 1492 = 0.93 miles

Percentage of college town race to the hometown race,

= \(\frac{\text{College town race}}{\text{Home town race}}\times 100\)

= \(\frac{0.93}{3}\times 100\)

= 31%

Therefore, the college town race is 31% of the home town race.

The average response time for the ambulance company is 13 minutes, with 95% of response times falling between 10 and 16 minutes.

The response times for a specific ambulance company follow a normal distribution with a mean of 13 minutes. This means that the majority of response times will cluster around the average of 13 minutes.

Furthermore, we know that 95% of the response times fall within the range of 10 to 16 minutes. This suggests that the response times are relatively consistent, with only a small percentage of outliers falling outside this range.

In summary, the average response time for this ambulance company is 13 minutes, and 95% of their response times fall between 10 and 16 minutes.

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Step-by-step explanation:

I am not seeing the figurem..

Answer:

8,400

Step-by-step explanation:

840*10^1 = 8400

Answer:

8400

Step-by-step explanation:

840 * 10 = 8400

When multiplying by 10 in this scenario, simply add a zero to the end of the number.

Answer:

C

Step-by-step explanation:

trust me c is the correct answer

Solution:

Given:

A cylinder with the following dimensions:

Using the formula of calculating the volume of the cylinder to get the height;

Substituting the values into the formula,

Therefore, the height of the cylinder is 13.6 mm

The average value of a continuous function f(x) over an interval [a, b] is given by the integral,

\(\displaystyle \frac1{b-a}\int_a^b f(x)\,\mathrm dx\)

Compute the integral for f(x) = e ⁻ˣ over [0, 3] :

\(\displaystyle \frac1{3-0}\int_0^3e^{-x}\,\mathrm dx=\frac13(-e^{-x})\bigg|_0^3=\frac13(-e^{-3}-(-e^{-0})) = \frac13 \left(1-\frac1{e^3}\right) = \boxed{\frac{e^3-1}{3e^3}}\)

AI initially had 786,432 pennies.

We have,

Let P be the initial number of pennies AI had.

According to the problem:

AI gives 3/8 of P pennies to Bev.

Bev gives 3/8 of what she got from AI to Carl.

Carl gives 3/8 of what he got from Bev to Dani.

Set up an equation to solve for P.

Let's start by finding how many pennies Dani gets from Carl:

Carl gives 3/8 of what he got from Bev to Dani, so Dani gets:

(3/8) x (3/8) x (3/8) x P pennies from Carl.

Next, let's find how many pennies Carl gets from Bev:

Bev gives 3/8 of what she got from AI to Carl,

So Carl gets (3/8) x (3/8) x P pennies from Bev.

Now we can substitute this expression for the number of pennies Carl gets from Bev into the expression for the number of pennies Dani gets from Carl:

Dani gets (3/8) x (3/8) x (3/8) x P pennies from Carl = (3/8) x (3/8) x (3/8) x (3/8) x P pennies from Bev =  (3/8) x (3/8) x (3/8) x (3/8) x (3/8) x P pennies from AI.

We know that Dani gets 378 pennies, so we can set this expression equal to 378 and solve for P:

(3/8) x (3/8) x (3/8) x (3/8) x (3/8) x P = 378

Simplifying this expression:

P = 378 x (8/3) x (8/3) x (8/3) x (8/3) x (8/3)

P = 786,432

Therefore,

AI initially had 786,432 pennies.

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Answer:

Imaginary

Step-by-step explanation:

Any number with an i is an imaginary number.

Answer:

Imaginary & Complex

Step-by-step explanation:

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