The table shows three unique, discrete functions. Which statements can be used to accurately compare the functions? Select two options. g(x) has the lowest minimum. f(x) has the greatest maximum. All three functions have a y-intercept. All three functions have an x-intercept. The domain of all three functions is the same.

Answer:

Option 1:  [tex]V=\pi (6)^{2} (8) \\[/tex]

Step-by-step explanation:

This is because when we plug in the value given in the picture.  

Formula [tex]V=\pi r^{2} h[/tex]

The way we write this is by using our  "r" which is 6. We plug in the 6 for "r" so the equation will look something like this: [tex]V=\pi (6)^{2} (h)[/tex]

Then we will plug in our height "h", which is 8. So the equation will look something like this: [tex]V=\pi (6)^{2} (8)[/tex]

So that's it. Very simple. Just remeber to keep the formula in mind and you will get the hang of it.

I hope this help! :D

The equation to find the volume of the cylinder is V = π ( 6 )² ( 8 )

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the cylinder be V

Let the radius of the cylinder be r = 6 cm

Let the height of the cylinder be h = 8 cm

Now , Volume of Cylinder = πr²h

On simplifying , we get

V = π ( 6 )² ( 8 )

V = 288π cm³

Hence , the equation is V = π (6 )² ( 8 )

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It took Greg 95 minutes to run his errands.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To find the total time Greg spent running errands,

We need to calculate the difference between his departure time from work and his arrival time at home.

First,

We can convert both times to minutes past midnight to make the calculations easier.

So,

4:42 pm = 4 × 60 + 42 = 282 minutes past midnight

6:17 pm = 6 × 60 + 17 = 377 minutes past midnight

To find the time Greg spent running errands, we can subtract his departure time from his arrival time:

= 377 - 282

= 95 minutes

Therefore,

It took Greg 95 minutes to run his errands.

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Answer:

C) A=1/2(2πr)(r)

Step-by-step explanation:

The approximate area of the parallelogram-like figure is,

⇒ A = 1/2(2πr)(r)

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

Since, The circumference of the circle, 2πr, is the measure completely around the circle.  

When the pieces of the circle are rearranged, half of this circumference will be on the top of the parallelogram and half will be on the bottom.  

This means the base will be,

⇒ 1/2(2πr).

Hence, The approximate height of the parallelogram is the radius of the circle; this makes the area

⇒ A = 1/2(2πr)(r)

Thus, The approximate area of the parallelogram-like figure is,

⇒ A = 1/2(2πr)(r)

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Madi is 4 and Bracken is 20.

In 12 years Madi will be 16 and bracken will be 32 which is twice the age of Madi.

The domain of y = cosec(x) includes all real numbers except for the integer multiples of [tex]\pi[/tex], where the sine function equals zero and the cosecant function is undefined.

The domain of a function is the set of all possible input values (usually x values) for which the function is defined. In the case of y = cosec(x), the cosecant function is the reciprocal of the sine function, meaning cosec(x) = 1/sin(x). Since the sine of an angle can be zero and division by zero is undefined, the domain of y = cosec(x) must exclude any x values where sin(x) = 0.

The sine function is zero at integer multiples of [tex]\pi[/tex], so the domain of cosec(x) is all real numbers except for integer multiples of [tex]\pi[/tex]

Answer:

Step-by-step explanation:

A.) It is arithmetic since its says that Marcus will save $200 each week.

B.) f(x)=$4500-($300+200x) = $4200-$200x; x represents the number of weeks, f(x) represents the amount of money Marcus still has to pay to get the truck.

C.) $4200-$200x=0; find x. $4200 = $200x; x = 21 weeks

D.) Domain: 0-21 weeks                           Range: $0-$4200

Answer:

Ordered pair of YZ is (-5,-7) and magnitude of YZ is 8.602

Step-by-step explanation:

Given data:

Two pairs Y (5,4) and Z (0, -3)

To find: ordered pair of YZ

YZ = Z - Y = (0-5, -3-4)

                 = (-5, -7)

Hence ordered pair of YZ is (-5,-7)

To find: magnitude of YZ.

Here Y and Z are initial and final points of vector. Magnitude of YZ is distance between points Y and Z. Distance formula is

Distance = [tex]\sqrt{(x2-x1)^{2} + (y2-y1)^{2} }[/tex]

magnitude of YZ =  [tex]\sqrt{(0-5)^{2} + (-3-4)^{2} }[/tex]

                             = [tex]\sqrt{74}[/tex]

                             = 8.602

Another method:

magnitude of YZ = |YZ|

|YZ| = [tex]\sqrt{(-5)^{2} + (-7)^{2} }[/tex]  ...............(since |xy| = [tex]\sqrt{(x)^{2} + (y)^{2} }[/tex]

       = [tex]\sqrt{74}[/tex]

       = 8.602

magnitude of YZ = 8.602

Answer:

D

Step-by-step explanation:

(-5,-7);√74 units

Answer:

x=-2   y=5

Step-by-step explanation:

7x-2y=-24

5x+5y=15

35x-10y=-120

10x+10y=30

45x=-90

x=-2

-10+5y=15

5y=25

y=5

The solution of the equations is, x=-2 and y=5.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The given expressions are solved as below:-

7x-2y=-24

5x+5y=15

35x-10y=-120

10x+10y=30

45x=-90

x=-2

The second equation is solved as below:-

-10+5y=15

5y=25

y=5

Hence, the solutions are x=-2 and y=5.

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so the right answer is of option D...

Answer:

mean: 30

standard dev: 5

the data point 37 is more than

Step-by-step explanation:

The mean is 30.

The standard deviation is 5

The data point 37 is more than one standard deviation from the mean.

'A bell curve is the informal name of a graph that depicts a normal probability distribution. The bell curve is perfectly symmetrical. It is concentrated around the peak and decreases on either side. In a bell curve, the peak represents the most probable event in the dataset while the other events are equally distributed around the peak. The peak of the curve corresponds to the mean of the dataset.'

According to the given problem,

Since, the curve of the bell curve peaks at the mean, therefore, in the given bell curve, the curve peaks at 30.

The standard deviation is calculated as the square root of variance by determining each data point's deviation relative to the mean. In the given bell curve, the points lie at a distance of 5. Therefore the standard deviation is 5.

The data point 37 is more than one standard deviation from the mean.

Since, the standard deviation is 5,

Mean = 30

Next Data Point = ( 30 + 5 )

                           = 35

Therefore the data point 37 is more than one standard deviation from the mean.

Hence, we can conclude, the bell curve has a mean of 30, standard deviation of 5 with the data point 37 being more than one standard deviation from the mean.

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Answer:

(w - 4)(w - 1)(3w - 5)

Step-by-step explanation:

Using Synthetic division to find the quotient on dividing p(w) by (w - 4)

4 | 3   - 20   37   - 20

            12   - 32    20

   -----------------------------

    3     - 8     5        0 ← remainder = 0

quotient = 3w² - 8w + 5 = (3w - 5)(w - 1)

p(w) = (w - 4)(w - 1)(3w - 5)

Answer:

x = 6

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Answer:

x = { 3, -2 }

Step-by-step explanation:

Let's actually find the solutions to | X+10 | = 3x - 2.  Because of the absolute value operator this breaks down into two simpler problems:

1) x + 10 = 3x - 2, or 12 = 4x.  Then x = 3

2) -(x + 10) = 3x - 2,  or -x - 10 = 3x - 2,  or  -8 = 4x.  Then x = -2

Answer:

C

Step-by-step explanation:

Given

- 4([tex]\frac{5}{2}[/tex] + [tex]\frac{3}{2}[/tex] x) >  8 ← distribute parenthesis on left side

- 10 - 6x >  8 ( add 10 to both sides )

- 6x >  18

Divide both sides by - 6, reversing the symbol as a result of dividing by a negative quantity

x < - 3 → C

Answer:

135 cubic centimeters

Step-by-step explanation:

The formula for calculating volume of a triangular prism is 1/2×b×h×l (b: base, h: height, l: length)

1/2 × 5 × 9 × 6 = 135

Answer:

180

Step-by-step explanation:

Answer: 180mm squared

Step-by-step explanation: How to solve this problem is you have to break up the problem into different parts. The line CE splits it up. The part on the left of line CE has an area of 135 (9 x 15) and the part on the right is a little more tricky, we know AB is 15mm and DC is 9mm so we know CF has to be 6 because we subtract 15mm from 9mm. You probably know how to calculate the area of a triangle (15 x 6)/2 which is 45. 45 + 135 = 180. I also go to RSM! (what a coincidence)

Answer:

dilation

Step-by-step explanation:

The transformation that Kyle performed to make a triangle similar but not congruent is dilation. This changes the size of a figure, but not its shape.

If a triangle undergoes a transformation and results in a similar but not congruent shape, it likely underwent a dilation. A dilation is a transformation that alters the size of a figure without changing its shape. Dilations can either reduce or enlarge a shape based on a scale factor. If the scale factor is greater than 1, the figure will enlarge. If it is less than 1, the figure will reduce.

For example, if Kyle dilated a triangle with a scale factor of 2, the triangle would double in size but still remain similar to the original triangle. However, because its size has increased, it is not congruent with the original triangle.

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The equation that can be used to find the length of side x is:

cos(25°) = x / 32.

The equation that can be used to find the length of side x is:

cos(25°) = x / 32

This equation is based on the trigonometric ratio tan, which is defined as

the opposite side over the adjacent side.

In this case, the opposite side is x and the adjacent side is 32.

We know the angle between these two sides is 25°, so we can use the

tan function to solve for x.

x = cos(25°) * 32

x = 14.65 cm

Therefore, the equation that can be used to find the length of side x is:

cos(25°) = x / 32

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Answer:

31

Step-by-step explanation:

The range can be found by subtracting the lowest number in the set from the highest, so one can conclude how large the gap in between the two is.

the lowest number her is 68 and the highest is 99

99-68=31

Answer:

31 is the range

Step-by-step explanation:

the range is the number between the highest data and the lowest data. You take your largest number in the data and subtract it from the highest.

Largest 99

smallest 68

99 - 68 = 31

Hope this helps :) if it does please mark brainlest :)

Answer:

x and (x − 6)

Answer:

3(25)+5(30)

Step-by-step explanation:

Product means multiplying 2 things together and expression means you do not solve the equation you just leave it be

Answer:

C

Step-by-step explanation:

$1.50 multiplied by 4.5 = 6.75

$6.75 plus $3 = $9.75

Answer:

$9.75

Step-by-step explanation:

1.50 per mile traveled

1.50 x 4.5 = 6.75

plus the additional fee of three dollars

6.75 + 3.00 = 9.75

Answer: The signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym

Step-by-step explanation:

Hi, to answer this question we have to write an equation for the cost of Bella's Gym

Jon's Gym: f(x) = 30x + 150

Bella's Gym has a signup fee of $50 and charges $45 dollars per month.

So, we have to multiply the number of months (x) by the cost per month, and add the signup fee cost (50).

Bella's Gym: f(x) = 45x+ 50

Since Jon's signup fee is 150 and Bella's signup fee is 50 , the difference of both costs is 100 (150-50=100), and since Jon's gym has the more expensive fee:

The signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym

Final answer:

The statement that the signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym is true.

Jon's Gym charges $30 per month while Bella's Gym charges $45 per month; thus, Jon's Gym charges $15 less, not more.

Explanation:

Comparing the costs of gym memberships at Jon's Gym and Bella's Gym requires analysis of the initial signup fees and the monthly rates. The function for Jon's Gym, f(x) = 30x + 150, indicates a signup fee of $150 and a monthly rate of $30. Bella's Gym has a signup fee of $50 and a monthly rate of $45. To determine the true statement, we compare these numbers directly:

The other statements provided in the question can be dismissed as false:

Therefore, the correct statement is that The signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym.

Answer:

The amount of gallons rounded to a whole number is 32970 gallons.

Answer:

The amount of gallons rounded to a whole number is 32970 gallons.

Step-by-step explanation:

Answer:

the 3 one bro ok I will let you know the answer

Answer:

B

Step-by-step explanation:

x = (y - 3)² + 41 ← expand factor using FOIL

x = y² - 6y + 9 + 41 ← collect like terms

x = y² - 6y + 50 → B

Answer: 94

Step-by-step explanation:

1 - 7 + 100

We do the 1 - 7 first

1 - 7 = -6

-6 + 100 = 94

Answer:

94

Step-by-step explanation:

1-7=-6

-6+100=94

Answer:

Sorry I made a mistake here is a picture of the answer. I hope this helps.

Pam's weekly pay can be modeled using a piecewise function. If Pam works 40 hours or less, her pay is her hourly rate times her hours worked. However, if she works more than 40 hours, her pay is her standard pay for 40 hours plus 1.5 times her hourly rate for each hour beyond 40.

Pam's weekly pay, P(h), can be defined piecewise, meaning we split up h (the total hours she works) into different 'pieces' based on the terms of her pay structure. In this case, the 40 hour standard work week serves as the dividing line between these pieces. The piecewise function could be represented as follows:

P(h) = { $7h,  if h <= 40
                         $7*40 + $7*1.5*(h-40), if h > 40 }

In this function, when Pam works 40 hours or fewer (h <= 40), her pay is simply her hourly wage ($7) times the number of hours worked. However, if she works more than 40 hours (h > 40), her pay is her standard weekly pay for the first 40 hours ($7 times 40) plus 1.5 times her hourly wage for each hour beyond 40 hours.

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Answer:

24

Step-by-step explanation:

1 time=1/4 cups

xtimes=6 cups

Cross multiply

6×1=x×1/4

6=x/4

Make x the subject of formula by cross multiplying

x=4×6

x=24

So the final answer is 24