Suppose Best Buy, buys 26" LED TVs from SONY for $138 each. They charge 72% more than this in the store. How much does this TV cost in the store? *

Given that the functions [tex]f(x)=x+4[/tex] and [tex]g(x)=x^{3}[/tex]

We need to determine the value of the function [tex](g \ {\circ} f)(-3)[/tex]

First, we shall determine the composition of the function [tex](g \circ f)(x)[/tex]

Function [tex](g \circ f)(x)[/tex]:

Let us determine the function [tex](g \circ f)(x)[/tex]

Thus, we have;

[tex](g \circ f)(x)=g[f(x)][/tex]

               [tex]=g[x+4][/tex]

               [tex]=(x+4)^3[/tex]

[tex](g \circ f)(x)=x^3+3x^2(4)+3x(4)^2+(4)^3[/tex]

[tex](g \circ f)(x)=x^3+12x^2+48x+64[/tex]

Thus, the function is [tex](g \circ f)(x)=x^3+12x^2+48x+64[/tex]

Value of the function [tex](g \ {\circ} f)(-3)[/tex]:

The value of the function can be determined by substituting x = -3 in the function [tex](g \circ f)(x)=x^3+12x^2+48x+64[/tex]

Thus, we have;

[tex](g \circ f)(-3)=(-3)^3+12(-3)^2+48(-3)+64[/tex]

Simplifying the terms, we get;

[tex](g \circ f)(-3)=-27+12(9)+48(-3)+64[/tex]

[tex](g \circ f)(-3)=-27+108-144+64[/tex]

[tex](g \circ f)(-3)=1[/tex]

Thus, the value of the function [tex](g \ {\circ} f)(-3)[/tex] is 1.

Answer:

Packaging with cube will be more efficient.

Step-by-step explanation:

Given:

A cube and a sphere where the diameter of the sphere is equal to the height of the cube.

Let the height of the cube "x"

Radius of the sphere =  [tex](\frac{x}{2})[/tex]

Formula to be used:

Surface area of the cube = [tex]6x^2[/tex] and Surface area of the sphere = [tex]4\pi (r)^2[/tex]

Volume of the cube = [tex]x^3[/tex] and Volume of the sphere = [tex]\frac{4\pi r^3}{3}[/tex]

We have to compare the ratio of SA and Volumes.

Ratio of SA :                                        Ratio of their volumes :

⇒ [tex]\frac{SA\ of\ cube\ (S_1)}{SA\ of\ sphere\ (S_2)}[/tex]                            ⇒ [tex]\frac{Volume \ of \ cube\ (V_1)}{Volume\ of\ sphere\ (V_2)}[/tex]

⇒ [tex]\frac{6x^2}{4\pi (\frac{x}{2})^2}[/tex]                                           ⇒ [tex]\frac{x^3}{\frac{4 \pi r^3}{3} }[/tex]

⇒ [tex]\frac{6x^2}{4\pi (\frac{x^2}{4})}[/tex]                                           ⇒ [tex]\frac{x^3}{\frac{4 \pi (\frac{x}{2})^3}{3} }[/tex]

⇒ [tex]\frac{6x^2}{\pi x^2}[/tex]                                               ⇒  [tex]\frac{x^3}{\frac{4 \pi (\frac{x^3}{8})}{3} }[/tex]

⇒ [tex]\frac{6}{\pi}[/tex]                                                  ⇒ [tex]\frac{6}{\pi}[/tex]

⇒ approx [tex]2[/tex]                                     ⇒  approx [tex]2[/tex]

⇒ [tex]S_1=2S_2[/tex]                                      ⇒ [tex]V_1=2V_2[/tex]

Packaging of the toy with the cube will be more efficient as it has more volume comparatively.

The circumference of Circle B is 4 meters.

Convert mixed number to fraction:

Circumference of Circle A = 2 2/3 m = 8/3 m

Find the diameter of Circle A:

Circumference = π * diameter

8/3 m = π * diameter_A

diameter_A = 8/3π m

Find the diameter of Circle B:

diameter_B = 1 1/2 * diameter_A = 3/2 * (8/3π) m

diameter_B = 4 / π m

Find the circumference of Circle B:

Circumference = π * diameter_B

Circumference of Circle B = π * (4 / π) m

Circumference of Circle B = 4 m

Therefore, the circumference of Circle B is 4 meters.

We have been given that the ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years.

We are asked to find the percentage of students that are between 14 and 18 years old.

First of all, we will find z-score corresponding to 14 and 18 using z-score formula.

[tex]z=\frac{x-\mu}{\sigma}[/tex]

[tex]z=\frac{14-15}{2}[/tex]

[tex]z=\frac{-1}{2}[/tex]

[tex]z=-0.5[/tex]

Similarly, we will find the z-score corresponding to 18.

[tex]z=\frac{18-15}{2}[/tex]

[tex]z=\frac{3}{2}[/tex]

[tex]z=1.5[/tex]

Now we will find the probability of getting a z-score between [tex]-0.5[/tex] and [tex]1.5[/tex] that is [tex]P(-0.5<z<1.5)[/tex].

[tex]P(-0.5<z<1.5)=P(z<1.5)-P(z<-0.5)[/tex]

Using normal distribution table, we will get:

[tex]P(-0.5<z<1.5)=0.93319-0.30854[/tex]

[tex]P(-0.5<z<1.5)=0.62465[/tex]

Let us convert [tex]0.62465[/tex] into percentage.

[tex]0.62465\times 100\%=62.465\%\approx 62.5\%[/tex]

Therefore, approximately [tex]62.5\%[/tex] of the students are between 14 and 18 years old.

Answer:

62.47%

Step-by-step explanation:

Answer:

0.02 (rational)

2 (rational)

Square root of 2 (irrational)

Square root 1/2 (irrational)

Step-by-step explanation:

Rational numbers are numbers that can be in form of a/b such that a and b are not zeros. In other words, a and b are integers ranging from 1 to infinity.

Conversely, irrational numbers are numbers that are endless and are non repeating digits after decimal point.

Thus, from the questions above;

[tex]0.02 = \frac{2}{100} = rational \: number[/tex]

[tex]2 = \frac{2}{1} = rational \: number[/tex]

[tex] \sqrt{2} = 1.41421356 = irrational \: number[/tex]

[tex] \sqrt{ \frac{1}{2} } = 0.70710678 = irrational \: number[/tex]

Answer:

  C.  -4n+8+9n-2 and 5n+6

Step-by-step explanation:

The equivalent expression is found by combining like terms:

  -4n +8 +9n -2 = n(-4+9) +(8-2)

  -4n +8 +9n -2 = 5n +6 . . . . . matches choice C

__

The other answer choices have flaws in the work:

  A. 3v -9v ≠ 6v

  B. +3 +2 ≠ +6

  D. 10n -2n ≠ 5n

Answer:

C. -4n+8+9n-2 and 5n+6

Step-by-step explanation:

Hope this helps, and holy cow! the person above me deserves brainliest!

Answer:

Mode is 4 median is 3 range 7 mean 3.5

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

If c is 2 then that means you would multiply 2 and 3 to get 6

Answer:

The answer is : 20 seconds

Step-by-step explanation:

First, we are told that it takes the person 8 seconds to travel 56 feet, hence, we will find the time it takes to travel one foot.

56 feet = 8 seconds

∴ 1 foot = 8/56 seconds

Next, we are told that the length of the sidewalk is 140 feet, therefore walking from one end of the sidewalk to the other is the the same as walking 140 feet, and this is calculated thus:

1 foot = 8/56 seconds (calculated above)

∴ 140 feet = 8/56 × 140 = 20 seconds

Answer:

What is the answer?

Step-by-step explanation:

Answer:

[tex]\frac{7}{20}x < 26.25[/tex]

Step-by-step explanation:

If $x is the value of the gift card when Tyler entered the store, then after spending [tex]\frac{13}{20}[/tex] of the gift card the card's value was less than $26.25.

So, we can write the inequality as

[tex]x - \frac{13}{20}x < 26.25[/tex]

⇒ [tex]\frac{7}{20}x < 26.25[/tex]

So, this is the required inequality that describes x, the value of the gift card when Tyler entered the store. (Answer)

Answer:

i think 48,000

Step-by-step explanation:

Answer:

me to

Step-by-step explanation:

Answer: good luck

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

The axis of symmetry for graph is always set up as "x="

So, if the x in this ordered pair is 8, then the axis of symmetry is also 8.

(I have posted a picture below as proof...)

Answer:

Yes, it is possible

Step-by-step explanation:

In a triangle, the length of the longest side of the triangle cannot be larger than the sum of the lenghts of the two shortest sides.

In formula, this means that:

[tex]c\leq a+b[/tex]

where

c is the length of the longest side

a, b are the lengths of the shortest side

In this problem, we want to build a triangle using 3 pieces of lumber, each of length:

a = 3 ft

b = 7 ft

c = 8 ft

We can verify that the length of the longest piece of lumber is less than the sum of the lengths of the other two sides, so:

[tex]8\leq 3+7 = 10[/tex]

Therefore, yes, it is possible to build a closed triangular pen.

The question is about the Triangle Inequality Theorem in Geometry. It asks if a triangle can be formed with given lengths of 3 ft, 7 ft, and 8 ft. By verifying with the theorem, we can confirm that a triangle can be formed.

The subject of the question is determining if a triangle can be formed with three given lengths. This topic belongs to Geometry, a branch of Mathematics. To form a triangle, the lengths must satisfy the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. In this case, we can plug our given lengths into this theorem:

All these inequalities hold true, so yes, Mrs. Barto can build a closed triangular pen for her pet rabbit with the three pieces of lumber.

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Answer:The answer is B,E and F

Step-by-step explanation:

I'm not sure how to explain but divided 10.40 by 4 and the answer is 2.6 and after that you can figure the rest out. Hope this helps!

Answer:

Part A. [tex]\frac{84.3y}{12} = 7 +\frac{0.1\cdot y}{4}[/tex]

Part B. The correct quotient is (3 × 4)

Step-by-step explanation:

Part A.

To divide 84.36 by 12 we look for the Highest Common Factor of the whole number and the decimal portions of the numerator and the denominator individually as follows;

[tex]\frac{84.36}{12} = \frac{84+0.3636}{12} = \frac{2 \times 2 \times 3 \times 7+0.01\times 12\times 3}{12} = \frac{12 \times 7+0.03\times 12}{12}[/tex]

Therefore, dividing 84.36 by 12 gives [tex]\frac{12 \times 7+0.03\times 12}{12} = 7+0.03[/tex] = 7.03

When dividing 84.3·y by 12, therefore, we have;

[tex]\frac{12 \times 7+0.3\times y}{12} = 7 +\frac{0.1\cdot y}{4}[/tex]

Part B.

The correct quotient should have factors of the numerator

Therefore the divisor 12 should be represented as follows

[tex]\frac{12 \times 7+0.3\times y}{12} =\frac{12 \times 7+0.3\times y}{3 \times 4}[/tex]

The correct quotient therefore = (3 × 4)

Elena divided the decimal 84.36 by the whole number 12 to get the correct quotient of 7.03. The division process is similar to dividing whole numbers but includes placing the decimal point correctly in the quotient.

To answer the question, Elena divided a decimal by a whole number. Specifically, the division problem is 84.36 ÷ 12. Dividing a decimal by a whole number follows the same process as dividing two whole numbers, with the additional step of placing the decimal point in the quotient.

Set up the division problem with 84.36 inside the division bracket and 12 on the outside.

Start dividing from the left. 12 goes into 84 seven times (12 x 7 = 84), so put 7 above the 84 in the quotient.

Subtract 84 from 84, which leaves 0, and bring down the next digit, which is 3 (from the decimal part).

Since 12 does not go into 3, we place a 0 in the quotient above the 3 and bring down the next digit, which is 6.

Now we have 36. 12 goes into 36 three times (12 x 3 = 36), so place a 3 in the quotient above the 36.

Again, we subtract 36 from 36, leaving 0, with no more digits to bring down, so we have our answer.

The correct quotient is 7.03. Multiplying or dividing by powers of ten, as seen when working with decimals, involves shifting the decimal point. For example, when multiplying 45.86 by 100, you would move the decimal point two places to the right, giving 4586. Conversely, dividing 1.9436 by powers of 10 shifts the decimal point to the left. The significance of this process is underlined by the fact that in scientific fields, calculations often require adjusting the decimal by powers of ten to maintain precision and correct significant figures.

It should be noted that a calculator provides the raw numerical result of a division and doesn't account for the significant figures involved; therefore, it's essential to consider how many decimal places are appropriate for the situation.

Answer:

7/9

Step-by-step explanation:

There are 9/9 in one whole, so if we have 2/9 now, we need another 7/9 to make 9/9: 2/9 + 7/9 = 9/9 = 1

Answer:

7/9

Step-by-step explanation:

1-2/9=7/9

Answer:

D)81

Step-by-step explanation:

To find the volume of a cylinder given its circumference and height, divide the given circumference by 2π to find the radius then use the formula for the volume of a cylinder πr²h. In this case, the volume of the cylinder is approximately 100,530.4 cubic feet.

The volume of a cylinder can be calculated using the formula V = πr²h where V is the volume, r is the radius of the base, h is the height, and π is a constant that is approximately 3.14. Firstly, we need to find the radius. The circumference of the circle, which is the base of the cylinder, is given by the formula C = 2πr where C is the circumference and r is the radius. Given the circumference as 125.7 feet, we can calculate the radius (r) by dividing the circumference by 2π. Therefore, r = 125.7/(2*3.14) = 20 feet. Once we have the radius, we can calculate the volume of the cylinder using the formula V = πr²h. Substituting r = 20 feet and h = 80 feet, we get V = 3.14 * (20)^2 * 80 which equals 100,530.4 cubic feet. Hence, the closest answer would be option (B) 100,053.1.

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Answer: 6/12

Step-by-step explanation:

You have a 50% percent chance of landing on the shaded area

Answer:

765

Step-by-step explanation:

17 * 45 = 765

Answer:

765

Step-by-step explanation:

Answer:

(A) Add the two equations.

Step-by-step explanation:

Solved by addition/elimination method.

Let me know if I'm wrong.

<3

Answer:

Carlos is risking breaking another bone or getting hurt because he doesn't use any safety equipment to prevent it from happening.

Step-by-step explanation:

Answer:

13 years

first calculate interest and use formula

SI=ptr/100.

Answer:

13

Step-by-step explanation:

Answer:

[tex]3\text{ gallons}[/tex]

Step-by-step explanation:

GIVEN: Sadie is making punch for her soccer team picnic. She uses [tex]8[/tex] quarts of lemon lime soda, [tex]4[/tex] pints of vanilla ice cream and [tex]8[/tex] cups of orange juice.

TO FIND: How many gallons of punch will she have.

SOLUTION:

Amount of lemon lime soda punch [tex]=8\text{ quarts}[/tex]

Amount of vanilla ice cream punch [tex]=4\text{ pints}[/tex]

Amount of orange juice punch [tex]=8\text{ cups}[/tex]

Now,

[tex]1\text{ gallon}=4\text{ quarts}[/tex]

total lemon lime soda punch [tex]=2\text{ gallon}[/tex]

[tex]1\text{ gallon}=8\text{ pint}[/tex]

total vanilla ice cream punch [tex]=0.5 \text{gallon}[/tex]

[tex]1\text{ gallon}=15.77\text{ cups}[/tex]

total orange juice punch [tex]=0.51\text{ gallon}[/tex]

Hence total gallon of punch [tex]=2+0.5+0.51[/tex]

                                               [tex]\approx3\text{ gallon}[/tex]

Hence sadie has total [tex]3\text{ gallons}[/tex] of punches

Answer:

1/30

Step-by-step explanation:

Answer:

1.2

Step-by-step explanation:

(simplified)

Answer:

The cost to rent a snorkel is 9$

(espanol) el costo de un snorkel es de 9$

Step-by-step explanation:

(English)Given that the group of tourists have spent $153 in renting snorkels and fins and there are 12 snorkels and 15 pairs of fins being rented, allow x to be the amount paid for the rent of the snorkels and y to be the rent for pairs of fins then 12x + 15y = 153. Given also that the rent for a snorkel is three times the rent of a pair of fins then x = 3y then, 12(3y) + 15y = 153. Simplify the equation, 36y + 15y = 153. 51y = 153. Solve for y by dividing both sides of the equation by 51 then, y = 153/51 = 3. Therefore, renting a pair of fins costs $3. To compute for the rent of a snorkel, use the equation x = 3y then, x = 3($3) = $9.

(Espanol) Dado que el grupo de turistas han gastado $153 en el alquiler de snorkels y aletas y hay 12 snorkels y 15 pares de aletas que se alquilan, permitir x para ser la cantidad pagada por el alquiler de los snorkels y y para ser el alquiler para pares de aletas entonces 12x + 15y 153. Dado también que el alquiler para un snorkel es tres veces el alquiler de un par de aletas y luego x a 3y, entonces, 12 (3y) + 15y a 153. Simplifique la ecuación, 36y + 15y a 153. 51y a 153. Resuelva para y dividiendo ambos lados de la ecuación por 51 entonces, y á 153/51 a 3. Por lo tanto, alquilar un par de aletas cuesta $3. Para calcular el alquiler de un snorkel, utilice la ecuación x á 3y, a continuación, x a 3($3) a $9.