Select the correct word to describe the function. the equation y = startfraction 5 x cubed over 8 endfraction represents function. the equation y = 6 + 0.25 ln x represents function. the equation y = startfraction 18 over 1 + 6 e superscript negative 0.25 x baseline endfraction represents function. the equation y = 5x3 + 8 represents function.

Measurement is the area of the number sense that has a relationship with the quantity of ingredients used in recipes.

The measures of recipes are determined by:

So measure recipes, one can either measure them using artefacts such as cups, spoons, or other kind of containers.

Learn more about measurement at:
https://brainly.com/question/27233632
#SPJ1

Answer:

311.0

Step-by-step explanation:

pi3^2(11)

pi r^2 (h)

Answer:

y = [tex]\frac{1}{2}[/tex] x

Step-by-step explanation:

the equation of a line passing through the origin is

y = mx ( m is the slope )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 3) ← 2 points on the line

m = [tex]\frac{3-0}{6-0}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

y = [tex]\frac{1}{2}[/tex] x ← equation of line

Answer:

45m

Step-by-step explanation:

4m+19m+14m+8m=45m

Answer:

D) None of the choices are correct.

Explanation:

Given triangles AHL and NKG

Sides which are congruent:

So, AHL ≅ NKG. There are no such options.

The original cost was it before the sale will be £ 26.4.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio.

In a sale is 25% off all prices but cost £33 in the sale.

Then the original cost was it before the sale will be

Let x be the original cost.

Then we have

1.25x = £33

      x = £26.4

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ1

Answer:

g(-3) = 20

g(2) = 10

g(7) = 100

Step-by-step explanation:

g(x) = 2f(x) tells us that g(x) is two times f(x). Instead of f(x) we can write (x² + 1).

g(x) = 2f(x)

g(x) = 2(x² + 1)

Multiply.

g(x) = 2x² + 2

Now that we have g(x) we just substitute values in the function.

g(-3) = 2(-3)² + 2

        = 2(9) + 2

        = 18 + 2  

        = 20

g(2) = 2(2)² + 2

        = 2(4) + 2

        = 8 + 2  

        = 10

g(7) = 2(7)² + 2

        = 2(49) + 2

        = 98 + 2  

        = 100

Answer:

8

Step-by-step explanation:

Part 1

V = pi*r^2*h .... volume of a cylinder

250 = pi*r^2*h

h = 250/(pi*r^2)

Plug this into the surface area of a cylinder equation

SA = 2*pi*r^2 + 2*pi*r*h

SA = 2*pi*r^2 + 2*pi*r*( 250/(pi*r^2) )

SA = 2*pi*r^2 + 500/r

Now replace every copy of r with x to get this function

f(x) = 2*pi*x^2 + 500/x

x = radius

y = f(x) = surface area

Next we'll use Desmos to graph this function. See the screenshot below. It produces some kind of curve that has two pieces to it. We'll only focus on the curve where x > 0 and y > 0. It makes no sense to have a negative radius, and we cannot have a negative surface area either.

Click on the lowest point of the parabolic looking shaped piece (it's not really a parabola, but we'll imagine that it is for the sake of simplicity).

The coordinates of that local min point will show up and they are (3.414, 219.689)

We have (x,y) = (3.414, 219.689) lead to r = 3.414 and SA = 219.689

This means that a radius of approximately r = 3.414 cm leads to the smallest surface area of approximately 219.689 square cm. This is when the amount of material is minimized.

Use this value of r to find h

h = 250/(pi*r^2)

h = 250/(pi*3.414^2)

h = 6.828

Desmos not only graphs, but it is also a standard calculator. The calculation is also shown in the screenshot.

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

Part 2

b²-4ac is the discriminant (D)!

you use it when you have a second degree function and want to find the x. If:

D<0 -> no x that we can find

D=0 -> 1 answer for x

D>0 -> 2 answers for x

when your D is = or > 0 then you use these formulas to find the x:

x1= (-b-VD)/2a

x2= (-b+VD)/2a

example1:

f(x)=2x²+3x+4=0

D= b²-4ac

= 3²-4×2×4

=9- 32

=-23

-> no answers for x

example2:

f(x)=2x²+5x+2=0

D= 4²-4×2×2

= 25-16

=9

x1= (-b-VD)/2a

= (-5-3)/4

= -8/4

=-2

x2= (-b+VD)/2a

= (-5+3)/4

=-2/4

=-1/2

The marginal distribution for gender tells you the probability that a randomly selected person taken from this sample is either male or female, regardless of their blood type.

In this case, we have total sample size of 714 people. Of these, 379 are male and 335 are female. Then the marginal probability mass function would be

[tex]\mathrm{Pr}[G = g] = \begin{cases} \dfrac{379}{714} \approx 0.5308 & \text{if }g = \text{male} \\\\ \dfrac{335}{714} \approx 0.4692 & \text{if } g = \text{female} \\\\ 0 & \text{otherwise} \end{cases}[/tex]

where G is a random variable taking on one of two values (male or female).

Answer:

Berries with any blush of red are not ripe, yet may ripen further once picked if kept at room temperature. That said though, you really want to ...

The slope of the linear equation, y = -9x - 8 is determined as: -9.

If the equation of a line is given in a slope-intercept form, y = mx + b, the slope value is represented as m.

Thus, given the equation y = -9x - 8, the slope in the linear equation is -9.

Therefore, slope of y = -9x - 8 is: -9.

Learn more about the slope on:

https://brainly.com/question/11898608

#SPJ1

Answer:

(2,-4)

Step-by-step explanation:

Here, h=2 and k=-4, so the center is (2,-4)

Explanation:

The value of 'a' out front in y = a sin(bx) determines the amplitude.

The b term helps us compute the period, which is 2pi/b for sine, cosine, secant, and cosecant functions.

For example, y = 2sin(3x) has an amplitude of 2 and period of 2pi/3

For tangent and cotangent functions, the period would be pi/b.

1 year = 12 months

Pages to write in 12 months = 1260

Pages to write in 1 month = 1260/12

= 105 pages per month

The coordinates of the 3 respective points from the given parameters are; (6, -2); (-1, 1); (2, 6)

1) The coordinates of the point located 5/6 of the way from A to B is;

x = ⁵/₆(7 - 1) + 1

x = 6

y = ⁵/₆(-4 - 8) + 8

y = -2

x, y = (6, -2)

2) The coordinates of the point located ¹/₄ of the way from A to B is;

x = -3 + ¹/₄(5 - (-3))

x = -1

y = 0 + ¹/₄(4 - 0)

y = 1

x, y = (-1, 1)

3) The coordinates of the point located ¹/₆ of the way from A to B is;

x = ¹/₆(7 - 1) + 1

x = 2

y = ¹/₆(-4 - 8) + 8

y = 6

x, y = (2, 6)

Read more about Length of Line Segment at; https://brainly.com/question/27064838

#SPJ1

Answer:

8

Step-by-step explanation:

Income = 0

  so    0   = 9x^2 - 54x - 154  

             you can go straight to the Quadratic Formula to find the answer, or you can try factoring as follows ....

    divide both sides of the equation by 9 to get

           x^2 -6x -16   = 0  which easily factors to :

          (x -8)(x+2) = 0     <===== this shows x = 8   or -2(throw out)

Answer:

0.41

Step-by-step explanation:

to make a fraction into a decimal you just divide the numerator by the

denominator.

and the numerator is the part of a fraction that is above the line

denominator is at the bottom

so 7 / 17 = 0.41 that means

7/17 in decimal form is 0.41

Hope This Helped

Answer:

7/17 is equal to 41176470588...

Step-by-step explanation:

This is called a never ending decimal. Hope this helps! :)

[tex]\text{L.H.S}\\\\=\cot^2 \dfrac{\pi}6 -2\cos^2 \dfrac{\pi}{3}-\dfrac 34 \sec^2 \dfrac{\pi}4-4\sec^2 \dfrac{\pi}6\\\\\\=\cot^2 30^\circ -2 \cos^2 60^\circ- \dfrac 34 \sec^2 45^{\circ} -4 \sec^2 30^{\circ}~~~~~~~;[\pi= 180^{\circ}]\\\\\\=\left(\sqrt 3 \right)^2 -2 \left( \dfrac 12 \right)^2 -\dfrac 34 \left(\sqrt 2 \right)^2 -4 \left(\dfrac 2{\sqrt 3} \right)^2\\\\\\=3-2 \cdot \dfrac 14 - \dfrac 34 \cdot 2 -4 \cdot \dfrac 43\\ \\\\=3-\dfrac 12-\dfrac 32 - \dfrac{16}3\\\\\\[/tex]

[tex]\\=\dfrac{9-16} 3 - \dfrac 42 \\\\\\=\dfrac{-7}{3}-2\\\\\\=\dfrac{-7-6}3\\\\\\=-\dfrac{13}3\\\\\\=-4\dfrac 13 \\\\\\=\text{R.H.S}\\\\\\\text{Proved.}[/tex]

Answer:

1

Step-by-step explanation:

[tex]\text{Given that,}~ (x_1,y_1) = (-2,4)~ \text{and}~ \text{slope,}~ m = -\dfrac 32\\ \\\text{Equation of line,}~\\\\~~~~~~~y -y_1 = m(x-x_1)\\\\\implies y -4 =-\dfrac 32(x+2)\\\\\implies y-4 =-\dfrac 32x - 3\\\\\implies y = -\dfrac 32x -3 +4\\\\\implies y = -\dfrac 32x +1[/tex]

The current equation of the perpendicular line;

 ⇒ is the slope-intercept form: [tex]y= mx + b[/tex]

Now for the point-slope form, we need a point on the line and the slope of the line:

⇒ we have

Since this is the point-slope form: [tex](y-y_1)=m(x-x_1)[/tex]

 ⇒ where the (x₁,y₁) is the point on the line and m is the slope

    [tex]= > Equation: (y-4)=-\frac{3}{2}(x+2)[/tex]

To convert the equation to slope-intercept form:

  ⇒ must isolate 'y' to one side and everything to the other side

      [tex]y= -\frac{3}{2}(x+2)+4\\ y=-\frac{3}{2} x-3+4\\y=-\frac{3}{2}x+1[/tex]

Answer: [tex]y = -\frac{3}{2}x+1[/tex]

Hope that helps!

Answer:

She is wrong.

Step-by-step explanation:

The mean score is

7 + 8 + 3 + 0 + 2= 20

We then divide it by the number which is 5

20/5= 4.

Therefore, Maria is wrong.

This is because she divided by 4 instead of 5, as she didn't include the rational number 0.

The equation to represent the proportional relationship is c = 0.25d

Let c = the number of cans

Let d = the number of days

So, we have:

c = kd

Where k represents the constant of proportionality.

From the given parameters, we have:

3 = 12k

Divide both sides by 12

k = 0.25

Substitute k = 0.25 in c = kd

c = 0.25d

Hence, the equation to represent the proportional relationship is c = 0.25d

Read more about proportional relationship at:

https://brainly.com/question/12242745

#SPJ1

The expected number of adults that believe ufos are watching earth is 4

The given parameters are:

p = 48%

Sample size, n = 8

The expected number of adults that believe ufos are watching earth is calculated as:

E(x) = np

This gives

E(x) = 8 * 48%

Evaluate

E(x) = 3.84

Approximate

E(x) = 4

Hence, the expected number of adults that believe ufos are watching earth is 4

Read more about expected values at:

https://brainly.com/question/15858152

#SPJ4

It will take 32 minutes for the population to grow from 1,000 to 32,000.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If the population of an alien race doubles every two minutes,

1,000 x 32 = 32,000

Hence, It would take 32 minutes.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ2

Answer:

b. x = 123

Step-by-step explanation:

Answer:

27.5%

Step-by-step explanation:

Given:

Review:

Concepts:

Formula:

Now we must convert 275 milliliters to liters.

1. Divide the volume by 1,000.

275 ÷ 1000 = 0.275

2. Add the Unit Symbol for Liter.

0.275 ⇒ 0.275 L

Now we have to find how much of 1 liter- 0.275 liters as a percentage is.

To convert 0.275 to percent multiply 0.275 by 100. The result is 27.5 percent, or, using the percent sign, 27.5 %.

Answer:

Range = 1 1/4

Step-by-step explanation:

Range = Maximum - Minimum

Arranging the data in ascending order :

Solving for range :