Which list shows the numbers in order from least to greatest? A. 53.783 B. 53.65 C. 53.09 D. 53.163 A) A, B, D, C B) C, D, B, A C) D, C, B, A D) B, C, A, D

Final answer:

The arc length intercepted by a central angle of π radians in a circle of radius 18.4 inches is calculated as arc length = θ × radius, resulting in 18.4π inches.

Explanation:

To find the arc length intercepted by a central angle of θ radians in a circle with radius r, we use the formula:

arc length (s) = θ × r

Given that the central angle θ is π radians and the radius r is 18.4 inches, we can compute the arc length as follows:

arc length (s) = π × 18.4 inches

By multiplying, we get:

arc length (s) = 18.4π inches

Therefore, the arc length intercepted by a central angle of π radians in a circle with a radius of 18.4 inches is 18.4π inches.

To find the cost of one bag of windflower bulbs and one package of crocus bulbs, we can use the substitution method. By setting up a system of equations and solving for the variables, we find that the cost of one bag of windflower bulbs is $45 and the cost of one package of crocus bulbs is $7.50.

To find the cost of one bag of windflower bulbs and one package of crocus bulbs, we can set up a system of equations. Let's use the substitution method.

Let x represent the cost of one bag of windflower bulbs and let y represent the cost of one package of crocus bulbs.

We can set up two equations:

2x + 5y = 105

9x + 5y = 164.50

From the first equation, we can rewrite it as: 2x = 105 - 5y. We can substitute this expression for 2x in the second equation:

9(105 - 5y) + 5y = 164.50

Solving for y, we get y = 7.50. Substituting this value back into the first equation, we can solve for x: 2x + 5(7.50) = 105. Solving for x, we get x = 45.

Therefore, the cost of one bag of windflower bulbs is $45 and the cost of one package of crocus bulbs is $7.50.

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Follow below steps:

Mark and Julio are selling flower bulbs for a school fundraiser. To find the cost of one bag of windflower bulbs and one package of crocus bulbs, we set up two equations based on the information given, and then solve them using the substitution method.

Let x be the cost of one bag of windflower bulbs and y be the cost of one package of crocus bulbs. According to Mark's sales, the equation is:

2x + 5y = 105 ...(1)

According to Julio's sales, the equation is:

9x + 5y = 164.50 ...(2)

To use the substitution method, we first isolate y in equation (1):

y = (105 - 2x) / 5 ...(3)

Next, we substitute equation (3) into equation (2):

9x + 5((105 - 2x) / 5) = 164.50

9x + 105 - 2x = 164.50

7x = 59.50

x = 8.50

Now that we have the value for x, we can use it to find y by substituting x back into equation (3):

y = (105 - 2(8.50)) / 5

y = (105 - 17) / 5

y = 88 / 5

y = 17.60

Therefore, the cost of one bag of windflower bulbs is $8.50 and the cost of one package of crocus bulbs is $17.60.

Answer:

D

Step-by-step explanation:

Answer:

c. (6,1)

Step-by-step explanation:

Add both x and both y (11+1)=12 (5+-3)=2 then divide both by 2

(6,1)

Answer:

See below in bold.

Step-by-step explanation:

If we add the 2 equations  we eliminate x  and we get 2y =2.

So y = 1.

Substituting y = 1 in the second equation 1 = x - 3.

So x = 4.

A. One solution: (4, 1).

If we drew a graph we would have 2 lines which intersect at the point (4, 1).

Answer:

Step-by-step explanation:

If we add the 2 equations  we eliminate x  and we get 2y =2.So y =1.

Substituting y = 1 in the second equation 1 = x - 3.So x = 4.

A.

One solution: (4, 1).If we drew a graph we would have 2 lines which intersect at the point (4, 1).

First subtract the difference of the two by the total:

440 - 54 = 386

Now divide that by 2:

386 / 2 = 193

193 is the number of Sociology books sold.

Now add 54 to 193 for the total Physics books:

193 + 54 = 247 Physics books were sold.

ANSWER

[tex]{(2x - 3)}^{3} = {8x}^{3} - 36 {x}^{2} + 54x - 27[/tex]

EXPLANATION

Using the binomial theorem of Pascal's triangle, the coefficient of the third exponent binomial is :

1,3,3,1

The expansion for

[tex] {(a - b)}^{3} = {a}^{3} - 3 {a}^{2} b + 3a {b}^{2} - {b}^{3} [/tex]

To find the expansion for:

[tex] {(2x - 3)}^{3} [/tex]

We put a=2x and b=3

This implies that,

[tex]{(2x - 3)}^{3} = {(2x)}^{3} - 3 {(2x)}^{2} ( 3) + 3(2x) {(3)}^{2} - {3}^{3} [/tex]

This simplifies to:

[tex]{(2x - 3)}^{3} = {8x}^{3} - 36 {x}^{2} + 54x - 27[/tex]

Answer:

10y

Step-by-step explanation:

9y + y = 10y

Answer:

[tex]10y[/tex]

Step-by-step explanation:

[tex]9y + y = y(9 + 1) = y(1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1) = y \times 10 = 10y[/tex]

Answer:

23

Step-by-step explanation:

30 + 9 = 39.

39 - 14 = 25.

25 - 2

= 23

Answer:

23

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

B isn't right. The 0 makes x^2 go away leaving a linear equation.

A is a linear function.

D is a cubic, so the answer is

C which has an x^2 function

Answer:

  see below

Step-by-step explanation:

Apart from the pictures being drawn with the axis at a funny angle relative to the edges of the solid, it should be pretty clear from the pictures that the figure has both plane and axis symmetry.

Every point on one side of the axis has a matching point on the other side at the same distance. Every point on one side of the plane of symmetry has a matching point on the other side at the same distance.

Answer:

vertex s is -2,-2

Step-by-step explanation:

and with the rectangle is q to p is 4cm coz one box is 1 cm and r to q is 3cm so you multiply them and the answer is 12cm

Answer:  A) (-1, 0) to (1, 2)

Step-by-step explanation:

Complex numbers are written in the form of ai + b  ; where "a" represents the x-coordinate and "b" represents the y-coordinate --> (a, b)

-i        →    -1i + 0    →   (-1, 0)

2 + i   →     1i + 2    →   (1, 2)

Which graph connects those two coordinates? OPTION A

Check the picture below.

[tex]\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=\stackrel{hypotenuse}{30}\\ a=\stackrel{adjacent}{27.6}\\ b=\stackrel{opposite}{h}\\ \end{cases} \\\\\\ \sqrt{30^2-27.6^2}=h\implies \sqrt{138.24}=h\implies 11.76\approx h \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the triangle}}{\cfrac{1}{2}bh\implies \cfrac{1}{2}(27.6)(11.76)}\implies 162.288\implies \stackrel{\textit{rounded up}}{162.3}[/tex]

To find the area of the right triangle with a given hypotenuse and adjacent leg, use the Pythagorean theorem to calculate the other leg. Then, use the base and height (the two legs) in the area formula for a right triangle. The area of the triangle is approximately 148.7 cm².

To find the area of a right triangle, you need two perpendicular sides, known as the legs of the triangle. Since we are given the hypotenuse (30 cm) and one adjacent leg (27.6 cm) which is one of the legs, we need to find the other leg. Using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).

In mathematical terms, this is expressed as a² + b² = c². Therefore, the length of the other leg (b) can be found using the equation b² = c² - a², where c is the hypotenuse and a is the given adjacent leg.

Substituting the given values, we have b² = 30² - 27.6². Calculating this gives b ≈ 10.8 cm.

Now, the area of the triangle can be calculated using the formula for the area of a right triangle, which is (1/2) × base × height. In this case, the base and height are the two legs of the triangle. Substituting the lengths of the legs we have, Area ≈ (1/2) × 27.6 cm × 10.8 cm. The result is approximately 148.7 cm², which is the area of the triangle rounded to the nearest tenth.

Answer:

Step-by-step explanation:

Answer:

  C.  f^-1(x) = 1/5x

Step-by-step explanation:

You know that f^-1(f(x)) = x, so you can try the answers.

____

You can also solve for f^-1(x). It will be "y" when ...

  f(y) = x

  5y = x

  y = 1/5x . . . . . divide by 5

Answer:

Sherina should have added 56 to both sides of the equation.

Step-by-step explanation:

To solve this equation: x-56=230 you need to add 56 to both sides of the equation:

x-56 + 56=230 + 56 → x = 286.

Therefore, Sherina should have added 56 to both sides of the equation.

Answer:

Last option: Sherina should have added 56 to both sides of the equation.

Step-by-step explanation:

To solve the equation [tex]x-56=230[/tex] Sherina needed to solve for the variable "x".

To calculate the value of the variable "x" it is important to remember the Addition property of equality. This states that:

[tex]If\ a=b\ then\ a+c=b+c[/tex]

Therefore, Sherina should have added 56 to both sides of the equation.

The correct procedure is:

[tex]x-56+(56)=230+(56)\\x=286[/tex]

Answer:

Floor 7

Step-by-step explanation:

He entered the elevator on floor x.

Then he rode up 10 floors. Now he is on floor x + 10.

Then he rode down 2 floors. Now he is on floor x + 10 - 2 = x + 8.

Then he pressed the Floor 1 button and rode down 14 floors to Floor 1. Now he is on floor x + 8 - 14 = x - 6 which is the same as Floor 1.

Floor x - 6 is the same as Floor 1, so we get the equation:

x - 6 = 1

Add 6 to both sides:

x = 7

Since we let x be the floor number he entered the elevator in, he entered the elevator on Floor 7.

Answer:

He began on floor 7

Step-by-step explanation:

This is a question where you have to use the question from the end and work your way backwards if that makes sense.

He had to go down 14 floors to get to floor 1. So 14 + 1 = 15. He was on the 15th floor.

Next he went down 2 floors. Since this is reverse, add two floors to the answer. 15 + 2 = 17. He was on the 17th floor.

And finally, he goes up 10 floors. Doing this in reverse, take away 10 floors to the answer. 17 - 10 = 7

Now to make sure it is correct, start from 7 and follow the original order of the question.

7 + 10 = 17

17 - 2 = 15

15 - 14 = 1

Volume = (edge)^3

Volume = (3/4)^3

Volume = (27/64) inches^3

Done.

The expression  [tex]\rm m^{2.5}[/tex] in radical form is [tex]\rm \sqrt[2.5]{m}[/tex] .

If n is a positive integer greater than 1 and n is a real number, then

[tex]\rm \sqrt[n]{a}[/tex] = aⁿ

Here the index is represented by n, the radicand is represented by a , and the sign is called the radical.

Left side of the equation is called the radical form

Right side of the equation is called exponent form.

The given exponent form is

[tex]\rm m^{2.5}[/tex]

In radical form this will be written as

[tex]\rm \sqrt[2.5]{m}[/tex]

Therefore the expression [tex]\rm m^{2.5}[/tex] in radical form is [tex]\rm \sqrt[2.5]{m}[/tex] .

To know more about Radical form

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Answer:

- 32,100 ft

Step-by-step explanation:

Initial Altitude = 32,000 ft above sea level = +32,000 feet

Final Altitude = 100 ft below sea level = -100 ft

Altitude change,

= final altitude - initial altitude

=  - 100 - (32,000)

=  - 32,100 ft

Answer:

Step-by-step explanation:

mono-, bi-, tri- are prefixes meaning 1, 2, and 3, respectively. A 3-term polynomial is a trinomial; a 2-term polynomial is a binomial.

For this case we have that the variable "f" represents the number of cups of flour that Tomas had initially.

If of that amount Luis used [tex]3 \frac {1} {3}[/tex] of cups of flour, then we have the following expression:

[tex]f-3 \frac {1} {3}[/tex]

If Luis has[tex]1 \frac {2} {3}[/tex] cups of flour left, then we have the following equation:

[tex]f-3 \frac {1} {3} = 1 \frac {2} {3}[/tex]

Finally, the equation that represents the given situation is:

[tex]f-3 \frac {1} {3} = 1 \frac {2} {3}[/tex]

Answer:

Option B

Answer:

14 cups

Step-by-step explanation:

3 pizzas needed

1 pizza means 2 cups of flour

So for 3 pizzas he will need 6 cups of flour

If he has 20 cups of flour and he uses 6, how much is left?

20-6=14

Answer:

14 cups of flour

Step-by-step explanation:

The three pizzas will require 6 cups of flour.

3 x 2 = 6 cups of flour needed to make 3 pizzas.

20 - 6 = 14 cups left

Answer:

The maximum height of the marshmallow is 49 feet.

Step-by-step explanation:

The vertex form of a parabola is

[tex]y=a(x-h)^2+k[/tex]           .... (1)

Where, (h,k) is vertex of the parabola is a is constant.

The given function is

[tex]h=-16(t-14)^2+49[/tex]              ..... (2)

Where, h is height of the marshmallow (in feet) and t is the time (in seconds) after he throws the marshmallow.

From equation (1) and (2), we get

[tex]a=-16,h=14,k=49[/tex]

The value of a is -16, which is less than 0. So, the given function is a downward parabola.

The vertex of a downward parabola is the point of maxima.

The value of h is 14 and the value of k is 49. So, the vertex of the parabola is (14,49). It means the maximum height of the marshmallow is 49 feet in 14 seconds.

Therefore the maximum height of the marshmallow is 49 feet.

Answer:

1/4,9

Step-by-step explanation:

might be wrong tbh

For this case we must find the value of the following expression:

[tex](+328.62) - (+ 98.6) =[/tex]

We apply distributive property to the term within the parenthesis taking into account tha:

[tex]- * + = -[/tex]

Rewriting we have:

[tex]+ 328.62-98.6 =[/tex]

Different signs are subtracted and the sign of the major is placed:

[tex]+328.62-98.6 = 230.02[/tex]

Answer:

230.02

Option B

Answer:

We have 8 liters of 54% alcohol.

We will add "x" liters of 66% alcohol to make "8 +x" liters of 65% alcohol.

54 * 8 + 66 x =   65 (8 + x)

432 + 66x = 520 + 65x

x = 88 liters

Step-by-step explanation:

Answer:

  y = 2/(x +8)

Step-by-step explanation:

Solve the first equation for t and substitute that expression into the second equation.

  x = t -3

  x + 3 = t

Then for y, we have

  y = 2/(t +5)

  y = 2/((x +3) +5) . . . . substitute for t

  y = 2/(x +8) . . . . . . . . simplify