Aiden is a spice trader. He sells any amount of cumin seeds from 1 kilogram to 1000 kilograms. He charges $5 for 1 kilogram and $2000 for 1000 kilograms.

p(w) models the price (in dollars) of w kilograms of cumin seeds in Aiden's shop.

Which number is more appropriate for the domain of p?
Choose 1 answer:

A. Integers
B. Real Numbers

What's the appropriate domain?
Choose 1 answer:

A. 5 ≤ w ≤ 1000
B. 5 ≤ w ≤ 2000
C. 1 ≤ w ≤ 1000
D. 1 ≤ w ≤ 2000

Answer:

[tex]20\sqrt{6}[/tex]

Step-by-step explanation:

In all 30-60-90 triangles, the side lengths are in the ratio [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse and [tex]x[/tex] is the side opposite to the 30 degree angle. Therefore, the hypotenuse of the 30-60-90 triangle (left) is [tex]2\cdot 10\sqrt{3}=20\sqrt{3}[/tex]. This hypotenuse also represents one leg of the 45-45-90 triangle.

In all 45-45-90 triangles, the side lengths are in ratio [tex]x:x:x\sqrt{2}[/tex] where [tex]x\sqrt{2}[/tex] is the hypotenuse of the triangle. Therefore, since [tex]x[/tex] is the hypotenuse of the triangle marked and [tex]20\sqrt{3}[/tex] is one of the legs, the value of [tex]x[/tex] must be:

[tex]20\sqrt{3}\cdot \sqrt{2}=\boxed{20\sqrt{6}}[/tex]

Answer:

[tex]x = 20\sqrt6[/tex]

Step-by-step explanation:

The triangle with the side that has a measure of ([tex]10 \sqrt{3}[/tex]) is a (30 - 60 - 90) triangle. This means that its angles are (30), (60), and (90) degrees. One property of a (30 - 60 -90) triangle is the ratio of its sides. This ratio, in simple terms, can be defined as the following:

angle : opposite side

[tex]30 : z\\60 : z\sqrt{3}\\90 : 2z[/tex]

Use this property here to find the measure of the side opposite the (90) degree angle, that is shared between the two triangles.

This side is opposite the (30) degree angle, therefore, multiply this side by (2) will yield the measure of the side opposite the (90) degree angle. Therefore the side opposite the (90) degree angle has the following measure:

[tex]20\sqrt{3}[/tex]

The triangle with a side of (x) is a (45 - 45 - 90) triangle. This means that its angles have a measure of (45 - 45 - 90). The ratios of the sides of a (45 - 45 - 90) triangle are as follows:

angle : opposite side

[tex]45:y\\45:y\\90:y\sqrt{2}[/tex]

Apply this ratio here; multiply the side shared between the (30 - 60 - 90) triangle and (45 - 45- 90) triangle by ([tex]\sqrt{2}[/tex]) in order to get the side with a measure of (x). When this is done, one gets the following result:

[tex]x = 20\sqrt{3}*\sqrt{2}\\x = 20\sqrt{6}[/tex]

Answer:

3 e^t/2 + 4 = 27

e^t/2 = 23 / 3

Taking natural log of both sides

t/2 = ln 23/3 = ln 7.667 = 2.037

t = 4.074

Check:

3 e^4.074/2 + 4 = 27

27 = 27

6 19/24

Step-by-step explanation:

I can't really explain things properly, but I hope it helps

Answer:

b) LeBron is relatively taller because he has a larger z-score.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

LeBron James:

Height of 81 inches, while the average 30- to 39-year old man is 69.5 inches tall, with a standard deviation of 2.7 inches, which means that we have to find Z when [tex]X = 81, \mu = 69.5, \sigma = 2.7[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{81 - 69.5}{2.7}[/tex]

[tex]Z = 4.26[/tex]

Candace Parker:

Height of 76 inches, while the average 30- to 39-year old woman is 64.2 inches tall, with a standard deviation of 3.2 inches. This means that we have to find Z when [tex]X = 76, \mu = 64.2, \sigma = 3.2[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{76 - 64.2}{3.2}[/tex]

[tex]Z = 3.69[/tex]

Who is relatively taller?

Due to the higher z-score, LeBron James, and thus, the correct answer is given by option b.

Answer:

[tex] a = 3\sqrt{6} [/tex]

Step-by-step explanation:

θ = 30°

Opposite side length to θ = 3√2 in.

Adjacent side length = a

Apply the trigonometric ratio, TOA:

[tex] tan(\theta) = \frac{Opp}{Adj} [/tex]

Plug in the known values

[tex] tan(30) = \frac{3\sqrt{2}}{a} [/tex]

Multiply both sides by a

[tex] a*tan(30) = 3\sqrt{2} [/tex]

[tex] a*\frac{1}{\sqrt{3}} = 3\sqrt{2} [/tex] (tan 30 = 1/√3)

Multiply both sides by the inverse of 1/√3 which is √3

[tex] a = 3\sqrt{2}*\sqrt{3} [/tex]

[tex] a = 3\sqrt{2*3} [/tex]

[tex] a = 3\sqrt{6} [/tex]

Answer:

The slope is 2

Step-by-step explanation:

The Slope formula is y2-y1/x2-y1.

1. Plug the numbers into the slope equation which is 1-(-5)/4-1=2

Answer:

y ≥  x^2 - 1

Step-by-step explanation:

First, we can see that the shaded region is above what seems to be a parabola, and we also can see that the lines of the parabola are solid lines (which means that the points on the curve itself are solutions, so the symbol ≥ is used)

Then:

y ≥ a*x^2 + b*x + c

where a*x^2 + b*x + c is the general quadratic equation.

Now let's find the equation for the parabola:

f(x) = a*x^2 + b*x + c

We also can see that the vertex of the parabola is at the point (0, -1)

This means that:

f(0) = -1 = a*0^2 + b*0 + c

     = -1 = c

then we have that c = -1

Then:

f(x) = a*x^2 + b*x - 1

Now we can look at the graph again, to see that the zeros of the parabola are at +1 and -1

Which means that:

f(1) = 0 = a*1^2 + b*1 - 1 = a + b - 1

f(-1) = 0 = a*(-1)^2 + b*(-1) - 1 = a - b - 1

Then we got two equations:

a + b - 1 = 0

a - b - 1 = 0

from this we can conclude that b must be zero.

Then:

b = 0

and these equations become:

a - 1 = 0

a - 1 = 0

solving for a, we get:

a = 1

Then the quadratic equation is:

f(x) = 1*x^2 + 0*x - 1

f(x) = x^2 - 1

And the inequality is:

y ≥  x^2 - 1

Answer:

no I don't know I am sorry for this question

Answer: Undefined

Step-by-step explanation:

(slope = m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-2}{4-4}=\frac{3}{0}[/tex]

(3 divided by 0 is undefined, so the slope is undefined)

In this question, the relations between velocity, distance and time are explored to first express the dependence of s on v, given the data in the exercise, and then to find the value of v for which s = 363.

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

Relation between velocity, distance, and time:

We have that velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

In which v is the velocity, d is the distance, and t is the time.

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

A car traveled s kilometers in 6 hours with a speed of v kilometers per hour.

This means that [tex]d = s, t = 6[/tex]

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

Express the dependence of s on v.

Taking the above values of d and t, and the formula, we have that:

[tex]v = \frac{d}{t}[/tex]

[tex]v = \frac{s}{6}[/tex]

[tex]s = 6v[/tex]

Thus, the dependence of s on v can be expressed as: [tex]s = 6v[/tex]

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

Using the formula, find: v for s=363

We have that:

[tex]s = 6v[/tex]

And thus

[tex]v = \frac{s}{6}[/tex]

Considering [tex]s = 363[/tex]:

[tex]v = \frac{363}{6} = 60.5[/tex]

Thus, for s = 363, v = 60.5.

For an example of a problem using this formula, you can check here: https://brainly.com/question/14307500

Answer:

v=s/6 is the formula

and if s=363, v=60.5

hope this helped!

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

Explanation:

I'm assuming you meant to say

y = (3/2)*tan( (1/3)x )

If so, then that equation is in the form

y = A*tan(Bx)

The B coefficient is B = 1/3 and it directly ties together to the period T.

T = pi/B

T = pi/(1/3)

T = pi*(3/1)

T = 3pi .... answer is choice C

Side note: This formula only works for tangent and cotangent functions.

Answer:

2 sqrt(2) = x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 45 = x/4

4 sin 45 = x

4 ( sqrt(2)/2) =x

2 sqrt(2) = x

Answer: D

Use sine to find the x-value:

[tex]sin(45)=\frac{x}{4} \\\\4*sin(45)=x\\\\x=\frac{\sqrt{2} }{2} *4=2\sqrt{2}[/tex]  

Answer:

All values that satisfy y ≤ 1x/3 - 3 are solutions  (option 2)

Step-by-step explanation:

the values satisfying y ≤ x/3 - 3 (red area) are a subset of those satisfying

y ≤ x/3 - 1 (blue plus red area) and therefore satisfy both inequalities.

Answer:

11, 18, 25, 32, .....

Option D

Step-by-step explanation:

The formula for the nth term of an AP is a+(n-1)d

a+(n-1)d=a+(n-1-1)d+7

a+nd-d=a+nd-2d+7

d=7

As the common difference is 7.

The only option given which is in an AP is the 4th option

Answer:

4 + 42s

Step-by-step explanation:

When y = 6 and x = 4,

it isn't possible to just give extra points in a simple and reliableway. anyways, let's starts.

a. is simple, just put the terms in order

r² +6r -5

because:

[tex] {r}^{2} + {6r}^{1} + {5r}^{0} [/tex]

anything to the power of 0 equals 1,

because it's the same as r/r, and 5 * r/r = 5*1

b. same logic as above

a²b² -5ab +33

c.

-c³ +ab +d +9

d.

-9y^5 - 2x³y²z +4x² +10x +1

^5 = to the power of five, it's the fastest way to type it without the special math input tool.

hope it helps you

Answer:

I agree with the above one.

Answer:

Step-by-step explanation:

2%

Answer:

[tex]\huge\boxed{[-5;\ -2)\ \cup\ [3;\ 13)}[/tex]

Step-by-step explanation:

The following piecewise functions are linear functions. The graph of any of them is a line segment.

We just need to calculate the value of the function at each end specified in the brace.

[tex]y=3x-2\ \text{if}\ -1\leq x<0[/tex]

Substitute x =-1 and x = 0:

[tex]x=-1\\y=3(-1)-2=-3-2=-5\\\\x=0\\y=3(0)-2=0-2=-2[/tex]

Range of this piece is [-5; -2)

[tex]y=2x+3\ \text{if}\ 0\leq x<5[/tex]

Substitute x =0and x = 5:

[tex]x=0\\y=2(0)+3=0+3=3\\\\x=5\\y=2(5)+3=10+3=13[/tex]

Range of this piece is [3; 13)

Therefore the range of the following piecewise function is:

[tex][-5;\ -2)\ \cup\ [3;\ 13)[/tex]

Look at the picture.

Answer:

Option (C)

Step-by-step explanation:

Surface area of a right prism = 2(Area of the triangular base) + Ph

Here, P = Perimeter of the base

h = Height of the prism

Area of the triangular base = [tex]\frac{1}{2}(\text{Height})(\text{Base})[/tex]

                                             = [tex]\frac{1}{2}(5)(12)[/tex]

                                             = 30 cm²

Height of the prism = 15 cm

Perimeter of the base = (5 + 12 + 13)

                                     = 30 cm

Surface area of the right prism = 2(30) + 30(15)

                                                   = 60 + 450

                                                   = 510 cm²

Therefore, Option (C) will be the correct option.

First, we find the point estimate, given by the sample mean. Then, with this, and the standard deviation of the population given, we can find the margin of error, and then, we can find the confidence interval and the minimum sample size necessary.

Doing this, we get that:

a) The point estimate for the population mean cost of fast food bills at this restaurant is $18.21.

b) The 95% margin of error is $1.64.

c) The 95% confidence interval for the population mean cost of fast food bills at this restaurant is: $16.57 ≤ µ ≤ $19.85.

d) The sample size needed is 135.

Question a:

The point estimate for the population mean is the sample mean, which is of $18.21.

The point estimate for the population mean cost of fast food bills at this restaurant is $18.21.

Question b:

We have to find our  level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of .

That is z with a p-value of , so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which  is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{5.92}{\sqrt{50}} = 1.64[/tex]

The 95% margin of error is $1.64.

(c) State the 95% confidence interval for the population mean cost of fast food bills at this restaurant.

The lower end of the interval is the sample mean subtracted by M. So it is 18.21 - 1.64 = 16.57

The upper end of the interval is the sample mean added to M. So it is 18.21 + 1.64 = 19.85

The 95% confidence interval for the population mean cost of fast food bills at this restaurant is: $16.57 ≤ µ ≤ $19.85.

(d) What sample size is needed if the error must not exceed $1.00?

This is n for which M = 1. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]1 = 1.96\frac{5.92}{\sqrt{n}}[/tex]

[tex]\sqrt{n} = 1.96*5.92[/tex]

[tex](\sqrt{n})^2 = (1.96*5.92)^2[/tex]

[tex]n = 134.6[/tex]

Rounding up:

The sample size needed is 135.

For a question in which you find a confidence interval using the z-distribution, you can check https://brainly.com/question/24175328

To find the minimum sample size for a confidence interval, you can check https://brainly.com/question/22667000

Answer:

375681

Step-by-step explanation:

this number consists of 6 digits, which are divided by 3 in total. for example, 372-3+7+2=12..12:3=4 so 372 is divisible by 3

next, it's odd number

it doesn't end with 5 and it doesn't end with 0

and the last thing, it doesn't end with 2 numbers, which is divided by 4. for example, 524...24 is divided by 4, so 524 is divided too

so it may be number like

375681...3+7+5+6+8+1=30 so it's divided by 3

it isn't divided by 2 because it's odd number

isn't divided by 5, because it doesn't end with 5 or 0

and isn't divided by 4, because we can't divide 81 by 4

it can be another number, as you wish. you can create it by yourself

The translation for the discrete statements are:

If S, then (Q and P); S → (Q ∧ P)

If P, then (not C and not E). P → (¬C ∧ ¬E)

Given data:

The given statement can be translated into symbolic logic as follows:

C: Parents send children to school.

E: Employees go to work.

P: The public will panic.

Q: Infected people are quarantined.

S: There is a swine flu epidemic.

The translation of the statement is as follows:

If S, then (Q and P);

If P, then (not C and not E).

Symbolically, the statement can be written as:

S → (Q ∧ P)

P → (¬C ∧ ¬E)

Here, the arrow (→) represents "if...then," ∧ represents "and," and ¬ represents "not."

This translation represents the logical relationships between the events described in the statement.

To learn more about discrete mathematics, refer:

https://brainly.com/question/30565766

#SPJ4

The complete question is attached below:

Use the symbolic logic to transform the given statements.

Statement: If there is a swine flu epidemic, then infected people are quarantined and the public will panic; and if the latter occurs, then parents do not send children to school and employees do not go to work.

Key:

C = Parents send children to school.

E = Employees go to work.

P = The public will panic.

Q = Infected people are quarantined.

S = There is a swine flu epidemic.

The statement when translated into symbolic logic would be (S -> (Q & P)) & (P -> (~C & ~E)).

The given statement can be translated into symbolic logic as follows:

"If there is a swine flu epidemic, then infected people are quarantined and the public will panic" can be translated to:

S -> (Q & P)

"and if the latter occurs" refers to "the public will panic". Thus, "then parents do not send children to school and employees do not go to work" can be translated to:

P -> (~C & ~E)

Now, combining both parts of the statement using the "and" operator:

(S -> (Q & P)) & (P -> (~C & ~E))

Find out more on symbolic logic at https://brainly.com/question/917076

#SPJ1

The full question is:

Statement: If there is a swine flu epidemic, then infected people are quarantined and the public will panic; and if the latter occurs, then parents do not send children to school and employees do not go to work.

Key:

C = Parents send children to school.

E = Employees go to work.

P = The public will panic.

Q = Infected people are quarantined.

S = There is a swine flu epidemic.

Answer:

72°

Step-by-step explanation:

Para el pentagono ABCDE,

m<C = (n - 2)(180)/n = (3)(180)/5 = 108

m<D = m<C = 108

Para el quadrilatero BCDE,

m<CBE + m<C + m<D + m<DEB = (n - 2)180 = 2(180) = 360

m<C = m<D = 108

m<CBE = m<DEB = x

m<CBE + m<C + m<D + m<DEB = 360

x + 108 + 108 + x = 360

2x + 216 = 360

x + 108 = 180

x = 72

Answer:

16

Step-by-step explanation:

Answer:

47.1

Step-by-step explanation:

We know side LM corresponds with side OP with a factor of some number. The value of side LM is 8, and the value of side OP is 29. If we divide the two numbers, we will find the scale factor of which triangle NOP is larger than KLM. 29/8 simplifies to 3.625. Now, to find the value of side PN, we must find the side it corresponds to on triangle KLM. Because K corresponds with N, and M corresponds with P, we know the side that PN corresponds with on triangle KLM is side KM. Side KM has a value of 13, so side PN must be 3.625 times larger than 13.

13 times 3.625 = 47.125. The question says to round to the nearest tenth, so the answer would be 47.1

Answer:

3 * 5

4    2

Step-by-step explanation:

To convert division problems with fraction into multiplication problems use the KCF rule

Keep the 1st Fraction the same

Change the division sign to a multiplication sign

Flip the fraction (reciprocal)

Step-by-step explanation:

One easy way to find a number that has all of these numbers as factors is to multiply them all together, so 2 * 5 * 7 = 10 * 7 = 70, which is one number.

To find the other number, we can multiply the number we already have by any integer greater than 1, e.g. 2, to get 70* 2= 140 as our other number, making our numbers 70 and 140

Answer:

the last one

Step-by-step explanation:

this is because it is an equalactral triangle meaning that the line at the side is the only one which its degrees is 90 so if u add 45 and 45 its 90(hope this helps)

Answer:

Two sides have the same length, which iS less than

the length of the third side.

Step-by-step explanation:

Hypotenuce is a sode opposite to right angle, which is always bigger then any side of right triangle. since both angles are the same, Adjacent and Opposite are similar size as well.

9514 1404 393

Answer:

  D

Step-by-step explanation:

For the inverse function, swap the words "domain" and "range" in the description of the function. The domain of a function is the range of its inverse, and vice versa.

Inverse function domain: x > 0; range: y < 2.