The gondola conductor charges $2 for
each yodeler and $1 for each xylophone.
It costs $40 for the entire club, including
the xylophones, to ride the gondola.
Two yodelers can share a xylophone, so
the number of yodelers on the gondola is
twice the number of xylophones.
How many yodelers and how many
xylophones are on the gondola? Represent this problem with a system of equations. Let x represent the number of xylophones and let y be the number of yodelers.

Answer:

5% Dextrose

Step-by-step explanation:

Dextrose is primarily used as a carbohydrate for nutrition and as a source of fluid. Whereas Sodium chloride is primarily used as a source of fluid and electrolytes.

A patient needs fluid and carbohydrates for nutrition. The fluid that the patient is likely to be administered is TNP. The patient needs fluid and carbohydrates for nutrition. The correct option is b.

Total parenteral nutrition (TPN) is a feeding technique that omits the digestive system. The majority of the body's nutritional requirements are met by a specific formula administered intravenously.

When a person cannot or shouldn't receive feedings or fluids orally, the technique is utilized. The term "parenteral nutrition," sometimes known as "total parenteral nutrition," refers to the practice of administering a unique type of food through a vein (intravenously).

The treatment's aim is to treat or stop malnutrition. TPN is made up of many components that are mixed together. These components include dextrose, lipid emulsions, amino acids, vitamins, electrolytes, minerals, and trace elements.

Therefore, the correct option is b, total parenteral nutrition.

To learn more about TNP, refer to the link:

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The question is incomplete. Your most probably complete question is given below:

a. protein

b. total parenteral nutrition.

c. iodine

d. fats

Perfect square trinomial

[tex] \boxed{ a^2 \pm 2ab+b^2 = (a \pm b)^2 } [/tex]

Using the perfect square trinomial

[tex] p^2 - 4p + 4 = 0 [/tex]

[tex] p^2 - 2(2p) + (2)^2 = 0 [/tex]

[tex] (p-2)^2 = 0 [/tex]

[tex] (p-2) = 0 [/tex]

[tex] p = 2 [/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\bold{p^2-4p+4=0}[/tex]

[tex]\text{FACTOR the LEFT side of your equation}\\\bold{(p-2)(p-2)=0}[/tex]

[tex]\text{SET each of your FACTORS TO EQUAL to 0}\\\bold{p-2=0\ or\ p-2=0}[/tex]

[tex]\text{SIMPLIFY the equations\ above and you will have your answer}[/tex]

[tex]\boxed{\boxed{\bold{Answer: \large\text{\bf{p = 2}}}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

5.5n -2 -0.5p

Step-by-step explanation:

Make Everything to either decimals or fractions.

then simplify as shown

Answer:

[tex]t = 4b + 10c[/tex]

Step-by-step explanation:

Given

1 bag = 4 doughnuts

1 carton = 10 doughnuts

Required

Determine the amount of doughnuts in b bags and c cartons

If 1 bag contains 4 doughnuts, then b bags contain 4b doughnuts

If 1 carton contains 10 doughnuts, then c cartons contain 10b doughnuts

So, the total (t) is calculated by adding up the amount of doughnuts in the cartons and the bags:

i.e.

[tex]t = 4b + 10c[/tex]

Answer:

83.4

Step-by-step explanation:

16.2 x 2

=

32.4 +

1/2 x 8.5 x 12  

=

51 + 32.4 = 83.4

Hope this helps!

Answer:

[tex]Area = 65.94[/tex]

Step-by-step explanation:

I will assume that the shaded region is the fire pit

Given

[tex]R = 5[/tex]

[tex]r = 2[/tex]

Required

Determine the area of the fire pit

First, calculate the area of the big circle.

[tex]A_2 = \pi R^2[/tex]

Area of the small is:

[tex]A_1 = \pi r^2[/tex]

The area of the pit is:

[tex]Area = A_2 - A_1[/tex]

[tex]Area = \pi R^2 - \pi r^2[/tex]

[tex]Area = \pi (R^2 - r^2)[/tex]

[tex]Area = 3.14 (5^2 - 2^2)[/tex]

[tex]Area = 3.14 (25 - 4)[/tex]

[tex]Area = 3.14 * 21[/tex]

[tex]Area = 65.94[/tex]

Given:

The two ratios are 13:15 and 30:26.

To find:

Whether the given ratios are equivalent or not.

Solution:

Two ratios are equivalent if the values of the ratio are equal after simplification.

[tex]13:15=\dfrac{13}{15}[/tex]

And,

[tex]30:26=\dfrac{30}{26}[/tex]

[tex]30:26=\dfrac{15}{13}[/tex]

[tex]30:26=15:13[/tex]

The first ratio is 13:15 and the value of second ratio after simplification is 15:13 both ratios are different, so,

[tex]\dfrac{13}{15}\neq \dfrac{30}{26}[/tex]

Therefore, the required answer is "No", the given ratios are not a pair of equivalent ratios.

Answer:

(0,-4)

Step-by-step explanation:

Given

[tex]f(x) = x^\frac{1}{3} - 4[/tex]

Required

Determine the critical numbers

[tex]f(x) = x^\frac{1}{3} - 4[/tex]

Differentiate:

[tex]f'(x) = \frac{1}{3}x^{\frac{1}{3} - 1}[/tex]

[tex]f'(x) = \frac{1}{3}x^{-\frac{2}{3}}[/tex]

Equate to 0

[tex]f'(x) = \frac{1}{3}x^{-\frac{2}{3}} = 0[/tex]

[tex]\frac{1}{3}x^{-\frac{2}{3}} = 0[/tex]

Multiply through by 3

[tex]3 * \frac{1}{3}x^{-\frac{2}{3}} = 0*3[/tex]

[tex]x^{-\frac{2}{3}} = 0[/tex]

[tex]x = 0[/tex]

Substitute 0 for x in [tex]f(x) = x^\frac{1}{3} - 4[/tex]

[tex]f(0) = 0^\frac{1}{3} - 4[/tex]

[tex]f(0) = 0- 4[/tex]

[tex]f(0) = - 4[/tex]

Hence, the critical point is: (0,-4)

Answer:

its 5

Step-by-step explanation:

Answer:

-48.4328358209

Step-by-step explanation:

hope this helps!!!

Answer:

If you meant 68-67 then it would be 1288

But if you meant 67-68 it is -1288

(I really hope this isn't hard to understand).

Answer:

729

Step-by-step explanation:

Answer:

120.4ft

Step-by-step explanation:

Find the diagram in the attachment.

The triangle shown is a right angled triangle with the side DE as the hypotenuse, EF is adjacent side while DF is the opposite side.

To get DE, we will use the SOH CAH TOA trigonometry identity

Using CAH which is defined as:

Cos(theta) = Adjacent/Hypotenuse

Cos 79°= 23/Hypotenuse

Hypotenuse = 23/cos79°

Hypotenuse = 23/0.191

Hypotenuse = 120.4feet

DE = 120.4feet (to nearest tenth)

Answer:

Rounded to the nearest integer, there are 32 boxes of labels left.

Step-by-step explanation:

Since there are 125 boxes of prescription bottle labels at the beginning of inventory cycle, and 25 3/4 remain, we can determine how many boxes of labels remain through the following mathematical operations:

3/4 = 0.75

100 = 125

25.75 = X

25.75 x 125/100 = X

3218.75 / 100 = X

32.1875 = X

Thus, rounded to the nearest integer, there are 32 boxes of labels left.

Answer:

Part A: $336.4

Part B:279.2645625

Step-by-step explanation:

$320+5.125% tax = 336.4

Part B:$279.2645625-5.125% tax = 279.2645625 bucks.

Thank you and good luck cheating

Answer:

12

Step-by-step explanation:

so basically

(x^2+2)*(1-3x)=-3x^3+x^2-6x+2

now plug in -1

-3(-1)^3+(-1)^2-6(-1)+2=12

hope this helped :)

The correct value of (fg)(-1) is "12". A further solution of the given query is provided below.

Given functions are:

[tex]f(x) = x^2+2[/tex]

[tex]g(x) = 1-3x[/tex]

Now,

⇒ [tex](fg) = (x^2+2)(1-3x)[/tex]

By applying multiplication, we get

           [tex]=x^2+2-3x^3-6x[/tex]

           [tex]=-3x^3+x^2-6x+2[/tex]...(equation 1)

By substituting the value "-1" in place of "x" in equation 1, we get

⇒ [tex](fg)(-1) = -3(-1)^3+(-1)^2-(6)(-1)+2[/tex]

                  [tex]=-3(-1)+1+6+2[/tex]

                  [tex]=3+1+6+2[/tex]

                  [tex]=12[/tex]

Thus the right answer is (fg)(-1) = 12.

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no. of bushels yield at 40 acre farm=600

no of bushels yield at 1 acre farm=15

no. of bushels yield at 75 acre farm=15×75

=1125

Answer:

B

Step-by-step explanation:

Answer:

[tex]\displaystyle d = 4\sqrt{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Point (-5, 6) → x₁ = -5, y₁ = 6

Point (3, 2) → x₂ = 3, y₂ = 2

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

3/4

Step-by-step explanation:

The value of tangent ratio [tex]tan \beta[/tex] in the triangle is [tex]\frac{3}{4}[/tex].

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

Review all six trigonometric ratios: sine, cosine, tangent, cotangent, secant, & cosecant.

Tangent ratio is yet another trigonometric ratio for right-angled triangles. Tangent ratio is the ratio of opposite side to adjacent side of a right triangle.

According to the triangle ABC

<C = [tex]90^{0}[/tex], <B = [tex]\beta[/tex], AB = 5, BC = 4, AC = 3

Tangent ratio is the ratio of opposite side to adjacent side of a right triangle.

Tangent ratio is one of the trigonometric ratios.

[tex]tan \beta=\frac{AC}{BC} = \frac{3}{4}[/tex]

Hence,

The value of [tex]tan \beta[/tex] in the triangle is [tex]\frac{3}{4}[/tex].

Find out more information about tangent ratio here

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Answer:

Answer is M.

Step-by-step explanation:

I hope it's helpful!

Answer:

Describe the two functions f(x) and g(x) , using the terms increasing, decreasing, maxima and minima. The graph of f(x) is periodic.

Answer:

Step-by-step explanation:

multiplication of the gradients of the two diagonals is equals to -1 if they are perpendicular

Answer:

151°

Step-by-step explanation:

Pentagons interior angles are always 540°. So to solve, you must put

540= (5x+2)+(10x-3)+(8x-19)+(7x-11)+(13x-31). After solving this you will get x=14 and you can now substitute x in for measure s.

13(14) -31

182 - 31

measure of s = 151°

Answer: 151

Step-by-step explanation:

Step-by-step explanation:Pentagons interior angles are always 540°.

So to solve, you must put 540= (5x+2)+(10x-3)+(8x-19)+(7x-11)+(13x-31).

After solving this you will get x=14 and you can now substitute x in for measure s.

13(14) -31182 - 31 

measure of s = 151°

Answer:

a. Sales from January to June: Matrix B6

                             Hard    Soft       Plastic

San Francisco     3,600   7,200     11,400

Los Angeles        1,800    1,200      2,400

b) Ending Inventory: Matrix D:

                            Hard      Soft      Plastic

San Francisco      400     3,200     3,000

Los Angeles     2,800     8,400     3,200

Step-by-step explanation:

a) Data and Calculations:

Stock on January 1: Matrix A

                              Hard    Soft       Plastic

San Francisco       1,000   2,000    6,000

Los Angeles         1,000   6,000    2,000

Sales in January: Matrix B

                             Hard    Soft       Plastic

San Francisco       600     1,200     1,900

Los Angeles         300       200        400

Restocking: Matrix C

                           Hard    Soft       Plastic

San Francisco     500   1,400      1,400

Los Angeles       600      600       600

Total Sales over the first 6 months =

Matrix B * 6 = Matrix B6

Sales in January: Matrix B

                             Hard    Soft       Plastic

San Francisco       600     1,200     1,900

Los Angeles         300       200        400

* 6

=

Sales from January to June: Matrix B6

                             Hard    Soft       Plastic

San Francisco     3,600   7,200     11,400

Los Angeles        1,800    1,200      2,400

Matrix C6 = Matrix C * 6

=

Restocking: Matrix C6

                           Hard     Soft       Plastic

San Francisco    3,000   8,400      8,400

Los Angeles      3,600   3,600      3,600

Inventory at the end of June =

Matrix A + Matrix C6 - Matrix B6

= Matrix D

Stock on January 1: Matrix A

                              Hard    Soft       Plastic

San Francisco       1,000   2,000    6,000

Los Angeles         1,000   6,000    2,000

+

Restocking: Matrix C6

                           Hard     Soft       Plastic

San Francisco    3,000   8,400      8,400

Los Angeles      3,600   3,600      3,600

-

Sales from January to June: Matrix B6

                             Hard    Soft       Plastic

San Francisco     3,600   7,200     11,400

Los Angeles        1,800    1,200      2,400

Ending Inventory: Matrix D:

                             Hard      Soft       Plastic

San Francisco      400     3,200     3,000

Los Angeles     2,800     8,400     3,200

The required difference in the expression (f – g)(x) is - 6x³+ 4x² + 4x - 8

Given the following functions

f(x) = 2x² + 4x - 5

g(x) = 6x³ – 2x² + 3

In order to get the required function (f-g)(x), we will have to take the difference of the function as shown:

(f – g)(x) = f(x) - g(x)

Substitute the given parameters into the expression

(f – g)(x) = 2x² + 4x - 5 - (6x³ – 2x² + 3)

Expand

(f – g)(x) = 2x² + 4x - 5 - 6x³ + 2x² - 3

Collect the like terms

(f – g)(x) = 2x²+2x²- 6x³ + 4x -5 -3

(f – g)(x) = - 6x³+ 4x² + 4x -5 -3

(f – g)(x) =  - 6x³+ 4x² + 4x - 8

Hence the required difference in the expression (f – g)(x) is - 6x³+ 4x² + 4x - 8

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Answer:

The mean of the sampling distribution of the proportion of employees who wear contact lenses is 0.12 and the standard deviation is 0.0145.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

12% of the employees wear contact lenses.

This means that [tex]p = 0.12[/tex]

Samples of 500:

This means that [tex]n = 500[/tex]

What are the mean and standard deviation of the sampling distribution of the proportion of employees who wear contact lenses?

Mean:

[tex]\mu = p = 0.12[/tex]

Standard deviation:

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.12*0.88}{500}} = 0.0145[/tex]

The mean of the sampling distribution of the proportion of employees who wear contact lenses is 0.12 and the standard deviation is 0.0145.