Holly rolls a 6 sided die 10 times. The number 5 is rolled 6 times. Would this result cause you to question whether this is a fair die.

Answer:

3

Explanation:

Given;

To be able to determine the quotient of the above, we have to introduce the multiplication sign and invert the second fraction as seen below;

Answer: The total distance covered by the car is 331 9/16 km.

Step-by-step explanation:

We know that, speed= distance/time taken

Therefore, distance = speed x time taken

= 132 5/8 x 2 1/2

= 5/2 x 1061/8

= 5305/16

= 331 9/16 km

Therefore, total distance is 331 9/16 km.

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Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

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Answer:

43.75 ft²

Step-by-step explanation:

Actual sizes

4/2 *5 = 10 feet

3.5/2 * 5 = 8.75 feet

Area

a = (1/2)bh

a = (1/2)(10)(8.75)

a = 43.75 ft²

The equation 2 log₅ x = log₅ 4 + log₅ 9 has two solutions: x = 6.

To solve the equation 2 log₅ x = log₅ 4 + log₅ 9, we can use logarithmic properties to simplify and find the value of x.

Using the properties of logarithms, we can rewrite the equation as follows:

2 log₅ x = log₅ (4 * 9)

Next, we simplify the right side:

2 log₅ x = log₅ (36)

Now, we can use the property of logarithms that states logₐ b = c is equivalent to aᶜ = b. Applying this property, we have:

x² = 36

Taking the square root of both sides, we get:

x =  √36

Since the square root of 36 can be either positive or negative, we have two possible solutions:

x = 6

It's important to note that when working with logarithmic equations, we must always check if the obtained solutions satisfy the domain restrictions of the original equation. In this case, since the logarithm has a base of 5, the solution x = 6.

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Answer:

a. shown below

b. 9x+14

Step-by-step explanation:

a. (on the bottom)

b. (3x+7)(3x+2)

multiply the terms:

9x+14

thats the area

Answer:

y = 14°

Step-by-step explanation:

50° = 2x° (isosceles triangle theorem)

\( {50}^{o} = {2x}^{o} \\ \frac{ {50}^{o} }{2} = x \\ {25}^{o} = x \\ \)

50° + 2x° + (5y + 10)° = 180° (The sum of the three angles of any triangle is equal to 180 degrees.)

\( {50}^{o} + {2x}^{o} + {(5y + 10)}^{o} = {180}^{o} \\ {50}^{o} + {2(25)}^{o} + 5y + {10}^{o} = {180}^{o} \\ {50}^{o} + {50}^{o} + 5y + {10}^{o} = {180}^{o} \\ {110}^{o} + 5y = {180}^{o} \\ 5y = {180}^{o} - {110}^{o} \\ 5y = {70}^{o} \\ y = \frac{ {70}^{o} }{5} \\ y = {14}^{o} \\ \)

The two relationships that describe a function in the table are A: Name as a function of hair color, and D: Eye color as a function of hair color.

A function is a relationship between two sets of values in which each element of the first set corresponds to exactly one element of the second set. In this table, for each hair color there is only one associated name, so the relationship between name and hair color is a function. Similarly, for each hair color there is only one associated eye color, so the relationship between eye color and hair color is also a function.

Note that the other relationships listed in the question (B, C, E and F) are not functions because they do not have a one-to-one correspondence between the two sets of values. For example, in the relationship between eye color and name, multiple people (Juan and Keshia) have the same eye color (brown), so this relationship does not describe a function.

Therefore, options A and D are the correct answer.

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The possible location of point A is (x, y), which is the same as the location of point B and point C, there is only one possible location for point A, and it is the same as the location of point B and point C.

Let's solve this step by step.

First, let's consider the information given:

Point C has the same y-coordinate as point B.

The distance between point B and point C is equal to the distance between point C and the y-axis.

Point A has the same x-coordinate as point C.

The distance between point A and point C is twice the distance between point B and point C.

Let's denote the coordinates of point B as (x, y), and we'll let y be the y-coordinate of point B.

From point 2, we know that the distance between point B and point C is equal to the distance between point C and the y-axis. This implies that point C lies on the vertical line passing through point B. So, the x-coordinate of point C is the same as that of point B, which is x.

From point 1, we know that point C has the same y-coordinate as point B, so the coordinates of point C are (x, y).

From point 4, we know that the distance between point A and point C is twice the distance between point B and point C. Since the distance between two points can be calculated using the distance formula, let's write the equations based on the given information:

Distance between point B and point C = Distance between point C and y-axis

√((x - x)² + (y - y)²) = √(x² + y²)

Simplifying the equation:

0 = √(x² + y²) - √(x² + y²)

This implies that the distance between point B and point C is 0, which means point B and point C coincide. Therefore, point A and point C also coincide since they have the same x-coordinate.

In summary, the possible location of point A is (x, y), which is the same as the location of point B and point C. So, there is only one possible location for point A, and it is the same as the location of point B and point C.

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The linear function that represents the maximum number of points the assignment may receive is, f(x) = 200 - 10x for 1 ≤ x ≤20.

Linear functions are the functions over a variable (say x), where the highest power for the variable is 1.

In the question, we are informed that an assignment is worth 200 points. We are also said that the professor deducts 10 points per day, for each day the assignment is submitted late.

We are asked to write a linear function that represents the maximum number of points the assignment may receive at a given time, assuming it was turned in after it was due.

Since it is given that the assignment is submitted late, we assume the days of delay to be x.

For each day delayed, 10 points are deducted.

∴ For a delay of x days, points deducted = 10x

We know, the total worth of the assignment = 200.

Hence the points can be calculated as a linear function, f(x) = 200 - 10x.

Now, since we are asked to assume that the assignment was turned in after it was due, we can say that x ≥ 1.

Also, the maximum delay can be of days as the points of the assignment can not be negative, that is, x ≤ 20.

∴ The linear function that represents the maximum number of points the assignment may receive is, f(x) = 200 - 10x for 1 ≤ x ≤20.

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Answer:

600 m³

Step-by-step explanation:

The shape we have is a rectangular pyramid:

Formula: (volume of a rectangular pyramid)

Volume = (1/3) × Base Area × height

___________________________

In our case :

Base area = L × W = 20 × 18 = 360 m²

height = 5 m

⇒ Volume = (1/3) × Base Area × height

    \(\Longrightarrow \text{volume} \ =\ \frac{1}{3} \times 360\times 5\)

\(\Longrightarrow \ \text{volume} \ =\ 600\ m^{3}\)

Answer:

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

Given:

To find the arc measure (θ) in radians, we can use the formula:

Now, plug in the given values:

To solve for θ, divide both sides by 4:

Simplify the expression:

So, the arc measure (θ) is 2π/3 radians

Answer:

Step-by-step explanation:

write a proportion and cross multiply to solve for x

\(\frac{60}{100} = \frac{x}{1280}\)

100x=76,800

x=768

60% full is 768 L. If the tank can hold 1,280 Liters, you need 512 more to fill it.

Alternatively...if the tank is 60% full, we need 40% more to fill it

\(\frac{40}{100} =\frac{x}{1280}\)

100x=51,200

x=512 L

The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.

The length of the container is 2.76 meters.

The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).

The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).

Now we can calculate the volume of the container:

Volume = Length × Width × Height

Volume = 2.76 meters × 2.35 meters × 1.96 meters

Volume ≈ 12.9516 cubic meters (rounded to four decimal places)

Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

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Step-by-step explanation:

Answers chosen by you are correct.

you can submit.

Answer:

768 Square Inches

Step-by-step explanation:

10x18 = 180 (2 rectanlge faces)

12x8 = 96 (2 triangles)

12x18 = 216 (bottom face)

216 + 96(2) + 180(2) =

768

Answer:

Step-by-step explanation:

We know that:

Work:

Hence, the length of the side of the regular pentagon is x + 3.

Hoped this helped.

\(BrainiacUser1357\)

Answer: 678

Step-by-step explanation: ii

Answer:

3 cents

Step-by-step explanation:

50lb x 16 to get oz 800oz 27.86 divided by 800. It equals about three cents per 1 oz of sugar. oz is ounce btw.

Answer:

the image is sideways

Step-by-step explanation:

Answer:

well buddy see you thinking to hard its right there just relax and look closely

Step-by-step explanation:

Hello,

What is the explicit formula for this sequence? -7, -3, 1, 5, ... ?

Aₙ₊₁ = Aₙ + 4 and A₀ = -7

⇒ Aₙ = A₀ + nr = -7 + 4n

Answer:

Step-by-step explanation:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; \frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] --- eq(1)\)

Lets look at the derivative part:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] \\\\= \frac{d}{dx}[cos(3x^2) \sqrt[3]{5x^3 -1} ] + \frac{d}{dx}[sin(4x^3)]\\\\=cos(3x^2) \frac{d}{dx}[ \sqrt[3]{5x^3 -1} ] + \sqrt[3]{5x^3 -1}\frac{d}{dx}[ cos(3x^2) ] + cos(4x^3) \frac{d}{dx}[4x^3]\\\\=cos(3x^2) \frac{1}{3} (5x^3 -1)^{\frac{1}{3} -1} \frac{d}{dx}[5x^3 -1] + \sqrt[3]{5x^3 -1} (-sin(3x^2))\frac{d}{dx}[ 3x^2] + cos(4x^3)[(4)(3)x^2]\)

\(=\frac{cos(3x^2) 5(3)x^2}{3(5x^3 - 1)^{\frac{2}{3} }} -\sqrt[3]{5x^3 -1}\; sin(3x^2) (3)(2)x + 12x^2 cos(4x^3)\\\\=\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)\)

Substituting in eq(1), we have:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; [\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)]\)

Answer:

The Answer Is B

Step-by-step explanation:

-4/5 = -1  (Rounded)

3/5 = 1/2  (Rounded)

-6/7 = -1  (Rounded)

5/6 = 1  (Rounded)

If your looking for the whole thing it would be:

(-1)[1/2](-1)(1) = x

 Your Welcome! <3

The result of which expression B will best estimate the actual product of  (-4/5) × (3/5) × (-6/7) × (5/6).

The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.

It is given that the expression is, a product of Negative four-fifths) (three-fifths) (Negative StartFraction 6 over 7 EndFraction) (five-sixths),

= (-4/5) × (3/5) × (-6/7) × (5/6)

The final result of the given expression is,

=  360/1050

=0.34

The product of the given values in the expression B is obtained as the equivalent expression to the given values.

Thus, the result of which expression B will best estimate the actual product of  (-4/5) × (3/5) × (-6/7) × (5/6).

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The value of x is 3 and angle Q is 39°

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.

A circle theorem states that : angles in thesame segment are equal.

With this theorem is means that angle 13x is equal to angle x +36 .

Therefore;

13x = x +36

collecting like terms

13x -x = 36

12x = 36

divide both sides by 12

x = 36/12

x = 3

therefore the value of angle Q = 13 × 3

= 39°

Therefore the value of angle Q is 39°

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Answer:

y=2(x-1)+5

Step-by-step explanation:

We know that it is 5 dollars for the first minute so we know the equation will start off with +5.

Than for the rest of the minutes, we have to make sure to subtract one from them, because the first number is worth 3 dollars more. Which is why it is x-1.

Then we multiply the new value times 2, because each additional minute is 2 dollars more.

Answer:

86°

Step-by-step explanation:

Angle addition postulate means add.

KLB + BLM = KLM

26° + 60° = 86°

Answer:

you just do 26 + 60 and you get 86 because the measure of the angle is the two angles added together.

Answer:

AB = 11

Step-by-step explanation:

Using the external secant property,

CB*CA = CD*CL (=CT^2  if T is tangent throught C)

substitute values,

7*(7+2x+3) = 9*(9+x+1)

Expand and simplify

70+14x = 90 + 9x

5x = 20

x = 4

=>

AB = 2x+3 = 2(4)+3 = 8+2 = 11

Answer:

4.64

Step-by-step explanation:

If you do 20% of 1.45, you would get 0.29, add that by 1.45 plus 1.45 plus 1.45, and you get 4.64. Hope this helps!

Answer:

$4.64

Step-by-step explanation:

3 x 1.45 = 4.35

1.45 x .2 = .29

4.35 +.29 = 4.64

Answer:

B.

Being good with numbers.

Step-by-step explanation:

Accounting is the process of measuring, analyzing, summarizing the day to day business transactions and the business transaction should be monetary terms

So if you want to make a career in an accounting field you should have good with numbers as without numbers the accounting process could not be done

Therefore the option B is correct

Answer:

b

Step-by-step explanation: