0.032 divided 4 = ___

The complement of a 43-degree angle is 47 degrees, and the supplement of an 81-degree angle is 99 degrees.

To find the complement and supplement of an angle, you need to subtract the given angle from specific values. For a complement, this value is 90 degrees, and for a supplement, it is 180 degrees.

(a) To find the measure of the complement of a 43-degree angle, you subtract the angle from 90 degrees:

So, the complement is 47 degrees.

(b) To find the measure of the supplement of an 81-degree angle, you subtract the angle from 180 degrees:

Therefore, the supplement is 99 degrees.

Answer: A2+B2=C2                                                                                                                                                                                            

             (๑╹ᆺ╹ ) i hope this is right

Let's analyze each expression:

A. (32ˣ/4) can be rewritten as ((2⁵)ˣ/(2²)) = (2⁵ˣ/2²) = 2⁵ˣ⁻².

This expression is not equivalent to 8ˣ, so it's incorrect.

B. (32/49)ˣ = 8ˣ This expression is equivalent to 8ˣ, so it's correct.

C. 8 × 8ˣ⁺¹ = 8ˣ⁺¹ + 1 This expression is not equivalent to 8ˣ, so it's correct.

D. x⁴ is not equivalent to 8ˣ, so it's correct.

E. (32ˣ/4ˣ) = (32/49)ˣ = 8ˣ This expression is equivalent to 8ˣ, so it's correct.

F. 8 × 8ˣ⁻¹ = 8ˣ⁻¹⁺¹ = 8ˣ This expression is equivalent to 8ˣ, so it's correct.

So, the expressions equivalent to 8x are: B, E, and F.

Let's assess each expression:

A. (32ˣ/4) can be rewritten as ((2⁵)ˣ/(2²)) = (2⁵ˣ/2²) = 2⁵ˣ⁻². This expression is not equivalent to 8ˣ, so it's incorrect.

B. (32/49)ˣ = 8ˣ  This expression is equivalent to 8ˣ, so it's correct.

C. 8 × 8ˣ⁺¹ = 8ˣ⁺¹ + 1 This expression is not equivalent to 8ˣ, so it's correct.

D. x⁴  is not equivalent to 8ˣ, so it's correct.

E. (32ˣ/4ˣ) = (32/49)ˣ = 8ˣ This expression is equivalent to 8ˣ, so it's correct.

F. 8 × 8ˣ⁻¹ = 8ˣ⁻¹⁺¹ = 8ˣ  This expression is equivalent to 8ˣ, so it's correct.

So, the expressions equivalent to 8ˣ are: B, E, and F.

Complete Question:

Which expressions are equivalent to the one below? 8x

A. 32ˣ/4

B. (32/49)ˣ

C. 8 × 8ˣ⁺¹

D. x⁴

E. (32ˣ/4ˣ)

F. 8 × 8ˣ⁻¹

Answer:

19 blocks

Step-by-step explanation:

9+7=16

16+3=19

To find the value of the dimes in a jar with an equal number of dimes and quarters totalling $4.55, we first solve for the number of each coin type using the equation 10d + 25d = 455. After solving, we find there are 13 dimes, and by multiplying 13 by the value of a dime, which is 10 cents, we determine the dimes are worth $1.30.

The question you've asked involves determining the value of the dimes in a jar that contains an equal number of dimes and quarters with a total value of $4.55. Let's solve this step by step.

First, we need to establish the value of each coin type. A dime is worth 10 cents and a quarter is worth 25 cents. Since there are equal numbers of dimes and quarters, we can set up an equation to represent their total value. Let the number of dimes and quarters be represented by d. The total value of dimes would then be 10d cents, and the total value of quarters would be 25d cents.

The combined value of the dimes and quarters is 455 cents (since $4.55 is equivalent to 455 pennies). So, our equation would be: 10d + 25d = 455. Simplifying the equation, we get 35d = 455. Dividing both sides by 35 gives us d = 13. This means there are 13 dimes and 13 quarters in the jar.

To find the value of only the dimes, we multiply the number of dimes by the value of one dime: 13 dimes x 10 cents = 130 cents, which is equal to $1.30. Therefore, the value of only the dimes is $1.30.

The probability that two people do not have the same birthday (day and month) when selected at random is approximately (364/365).

The probability that two people do not have the same birthday (day and month) when selected at random can be calculated using the principle of complementary probability. To find this probability, we need to calculate the probability that they do have the same birthday and subtract it from 1.

Let's break down the process:

Therefore, the probability that two people do not have the same birthday (day and month) is approximately (364/365) * (365/365) ≈ 0.9878.

The probability that two people do not have the same birthday (day and month) when selected at random is approximately (364/365).

The probability that two people do not have the same birthday (day and month) when selected at random can be calculated using the principle of complementary probability. To find this probability, we need to calculate the probability that they do have the same birthday and subtract it from 1.

Let's break down the process:

Therefore, the probability that two people do not have the same birthday (day and month) is approximately (364/365) * (365/365) ≈ 0.9878.

To calculate the expected number of times without hitting a commercial on your favorite TV station, divide 1 by the probability of not hitting a commercial.

To calculate the expected number of times you could randomly select this TV station without hitting a commercial, we need to find the probability of not hitting a commercial in one selection. Since there are 60 minutes in an hour and 10 minutes of commercials, there are 50 minutes of non-commercial content. Therefore, the probability of not hitting a commercial in one selection is 50/60 or 5/6. To find the expected number of times without hitting a commercial, we can use the formula:

Expected number = 1 / Probability of not hitting a commercial

Expected number = 1 / (5/6) = 6/5 = 1.2 times

https://brainly.com/question/22962752

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Answer:

5

Step-by-step explanation:

Reword the question: "Select this channel without hitting a commercial" = "How many selects until hitting a commercial"

Success (p) = hit

Failure (q) = no hit

p (probability of hitting a commercial): 10/60

q (probability of not hitting a commercial): 50/60

E(x) = q/p

E(x) = 50/60 / 10/60

E(x) = 5

Therefore, five selects without hitting a commercial

The length of XV in triangle VWX is approximately 26 feet.

To find the length of XV, we can use the trigonometric relationship in a right triangle. In triangle VWX, the measure of angle W is 25° and angle X is 90°. We can use the sine function to find the length of XV. The sine of angle W is equal to the length of the side opposite angle W divided by the length of the hypotenuse. So, we have sin(25°) = XV/61. Rearranging the equation, we get XV = 61 * sin(25°). Plugging in the values, we find that XV is approximately 26 feet.

To calculate the volume of a composite figure, individual volumes of simple geometric shapes that make up the figure are calculated using dimensionally consistent formulas and then summed up to find the total volume.

To find the volume of a composite figure, we must analyze each part of the figure separately and then combine their volumes. Volume is a measure of how much space an object occupies and for common shapes like cylinders, prisms, and cones, there are specific volume formulas. According to the information given, dimensionally consistent volume formulas would be those where volume is calculated by combining length measurements in such a way that the result has dimensions in cubic units. For example, for a cylinder, the volume is found by multiplying the area of the base by the height (V = πr²h), which is dimensionally consistent because it's the product of an area (with units squared) with a length (with a unit), resulting in units cubed, i.e., cubic units which represent volume.

For example, if we are to find the volume of a cylinder with a radius 'r' and height 'h', we would use the formula V = πr²h, where π is approximately 3.14159. If the radius is 2 cm, and the height is 5 cm, then the volume would be V = 3.14159 * (2²) * 5 cm³, which simplifies to V = 3.14159 * 4 * 5 cm³ = 62.8 cm³, after rounding to the nearest tenth.

As per the subject of composite figures, when the figure is made of multiple simple geometric shapes, we first find the volume of each part separately and then sum them all up to get the total volume of the composite figure. Understanding the dimensional analysis principles helps identify and correct potential errors in geometric formulas by ensuring that the dimensions on either side of an equation are consistent.

To solve the composite volume of the figure, we will subtract the volume of the cylinder from the volume of the cube.

The formula to find the volume of a cube is V = s^3, where s is the length of the side. It is shown in the figure that the length is 8 feet. Substitute this into the formula to find the volume of the cube.

V = s^3

= (8 ft)^3

= 512 ft^3

The formula to find the volume of a cylinder is V = πr^2h, where "r" is the radius and "h" is the height of the cylinder. It is shown in the figure that the diameter of the cylinder is 8 feet and its height is 8 feet. However, we need the value of the radius, not the diameter. To find the radius, we will divide the length of the diameter by 2 since the radius is half the length of the diameter.

r = d/2

= 8/2

= 4 ft

We already solve the length of the radius. Substitute the length of the height and radius to the formula to find the volume of the cylinder.

Volume (V) = πr^2h = π(4 ft)^2(8 ft) = π(16 ft^2)(8 ft) = 128π ft^3

We have solved the volume of the cube, which is 512 ft^3, while the volume of the cylinder is 128π ft^3. To solve the composite volume of the figure, we will subtract the volume of the cylinder from the volume of the cube.

V = V_cube - V_cylinder

V = 512 ft^3 - 128π ft^3

V = 109.9 ft^3

The surface area of this cylinder in terms of [tex]\pi[/tex] is [tex]216\pi\;cm^2[/tex]

Given the following data:

To calculate the surface area of this cylinder in terms of [tex]\pi[/tex]:

Mathematically, the surface area (SA) of a cylinder is given by this formula:

[tex]S.A = 2\pi rh + 2\pi r^2[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]S.A = 2\pi (6)(12) + 2\pi (6)^2\\\\S.A = 144\pi+72\pi\\\\S.A = 216\pi\;cm^2[/tex]

Read more on surface area here: brainly.com/question/21367171

Answer:

The area under the curve is one.

Step-by-step explanation:

A density curve for all of the possible weights between 0 pounds and 1000 pounds is in the shape of a rectangle. What is the value of the density curve in this interval?

The area under the curve is one.

Reason

Lets draw an histogram. On the vertical axis is the frequency distribution. horizontal axis is the weights. the interval between the bars will be 1.

the height of the bars will be the frequency distribution.

we get the area of the bars by multiplying the bars width and height. add up all with the other weight.

we get 1