Which of the following is equal to 4 and 2 over 3 divided by 3 and 1 over 2?

4 and 2 over 3 times 3 and 2 over 1
14 over 3 times 2 over 7
14 over 3 times 7 over 2
42 over 3 times 2 over 31

The radius of the water bottle to the nearest hundredth is 2.01 cm

A cylinder is a solid figure with circular bases and height.

The volume of a cylinder = πr²h

h is the height  = 8.1cm

Volume = 103 cubic cm

Substitute into the formula to have
V = 3.14r² * 8.1
103 = 3.144 * 8.1 * r²

r = 2.01 cm

Hence the radius of the water bottle to the nearest hundredth is 2.01 cm

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Answer:

\(\displaystyle 1\frac{2}{5}=\frac{7}{5}\)

Step-by-step explanation:

\(\displaystyle a\frac{b}{c}=\frac{ac+b}{c}\\\\1\frac{2}{5}=\frac{(1)(5)+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)

Answer:

216 cubic inches

Step-by-step explanation:

(9)(3)(3)=81

(3)(3)(9)=81

(3)(3)(6)=54

81+81+54=216

So, it's 216 cubic inches in volume.

Answer:

Silence

If you speak the word silence, it breaks the silence in the room.

The binary string 01001010001100 is the number  9496 in decimal format.

This is further explained below.

Generally, The decimals that have the same total number of places after the decimal point are referred to as similar decimals. Equivalent decimals are different representations of the same decimal number that have the same numerical value.

For instance, 3.42 and 6.05 are equivalent to decimals since each number has two positions for the decimal point.

As an example, 0.3 and 0.30 are both considered to be comparable decimals since they both represent the same number.

The supplied binary string has one at positions 3, 4, 8, 10, and 13. (when counted from 0 starting from the unit place).

If there are any zeros in the provided number, the results of those locations will also be zero.

In conclusion, binary string 01001010001100 will be the figure

2^3 + 2^4 + 2^8 +2^10 + 2^13= 9496

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Answer:

\(x>1/2\)

Step-by-step explanation:

\(2(4x-3)>-3(3x)+5x\)

Expand the brackets.

\(8x-6>-9x+5x\)

Add -9x and 5x

\(8x-6>-4x\)

Add 4x and 6x on both sides.

\(8x+4x>6\)

Add the like terms.

\(12x>6\)

Divide 12 into both sides.

\(12x/12>6/12\)

\(x>1/2\)

Answer:

x > 1/2

Step-by-step explanation:

We have the inequality 2(4x - 3) > -3(3x) + 5x.

Let's first expand all the parentheses on the left side. When doing so, remember that we take the sum of the products of the outside number with each of the inside numbers:

2 * 4x + 2 * (-3) > -9x + 5x

8x - 6 > -4x

Add 4x and 6 to both sides:

8x + 4x > 6

12x > 6

Divide by 12:

x > 6/12

x > 1/2

Thus, any x value greater than 1/2 works: x > 1/2.

~ an aesthetics lover

Answer:

+2

Step-by-step explanation:

The given function evaluates to \(\frac{x^2(1-x)}{x^2 + 1}\).

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837: A variable y is said to be a function of the independent variable x if there is a relationship between them such that whenever a numerical value is assigned to x, there is a rule that determines a specific value of y.

As per the given data:

The function is \(f(x) = \frac{2}{x^2 + 1}\)

To determine the function: \(f(\frac{1}{x}) - x^2f(-1)\)

Substituting (1/x) and (-1) respectively:

\(= \frac{2}{\frac{1}{x}^2 + 1} - x^2\frac{2}{(-1)^2 + 1}\)

\(= \frac{2x^2}{x^2 + 1} - x^2\frac{2}{2}\)

\(= \frac{2x^2}{x^2 + 1} - x^2\)

Taking the LCM:

\(= \frac{2x^2 - x^3 - x^2}{x^2 + 1}\)

\(= \frac{x^2 - x^3}{x^2 + 1}\\= \frac{x^2(1-x)}{x^2 + 1}\)

Hence, the given function evaluates to \(\frac{x^2(1-x)}{x^2 + 1}\)

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Answer:

hdjhdhdhdjdvdvddiwhegwiwiwhegeeuui

Answer:

10%

Step-by-step explanation:

Hello I can help you with this question. Lets start.

The question is asking what percent of $30 is 3

so i think u actually meant $3 right but anyways

30 is 10 times 3

then clearly it would be 10%

gogo that's the answer!

Answer:

-2

Step-by-step explanation:

z - 7 ≥ 0

z ≥ 7

| z - 7 | = z - 7, z ≥ 7

| z - 7 | = -z + 7, z < 7

z - 9 ≥ 0

z ≥ 9

| z - 9 | = z - 9, z ≥ 9

| z - 9 | = -z + 9, z < 9

| z - 7 | = -z + 7

| z - 9 | = -z + 9

|z - 7| - |z - 9|

-z + 7 - (-z + 9)

-z + 7 + z - 9

= -2

I do not believe either of them because of the heights of both the R.F. Mitte Building and the tallest building in San Marcos.

The height that a projectile can reach in ideal conditions (i.e., without air resistance) can be estimated by the physics formula for kinetic and potential energy equivalence:

mgh = 1/2mv²

The R.F. Mitte Building is 100 feet tall, and the tallest building in San Marcos is 150 feet tall. The velocity of a baseball thrown at the top of these buildings would need to be at least 44.27 m/s and 54.22 m/s, respectively, in order for it to reach the top.

This is a very high velocity, and it is unlikely that a person could throw a baseball with that much force. The fastest recorded pitch in Major League Baseball was by Aroldis Chapman at 105.1 mph, which is approximately 47 m/s.

Therefore, while the claim to throw a ball on top of the R.F. Mitte Building might be achievable by a person in excellent physical condition but the claim to throw a baseball on top of the tallest building in San Marcos seems impossible.

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Full question is:

A person claims they can toss a baseball on top of the R.F. Mitte Building. Not to be outdone, his buddy boasts he can throw a baseball on top of the tallest building in San Marcos.

Do you believe either of them and why?

Answer:

72 N

Step-by-step explanation:

From the question.

Force is directly proportional to acceleration, with the mass of the object constant.

F α a

F = ka

F₁/a₁ = F₂/a₂....................... Equation 1

Where F₁ = Initial force, a₁ = initial acceleration. F₂ = final force, a₂ = Final acceleration.

make F₂ the subject of the equation

F₂ = (F₁/a₁)a₂................ Equation 2

Given; F₁ = 64 N, a₁ = 8 m/s², a₂ = 9 m/s²

Substitute these values into equation 2

F₂ = (64/8)(9)

F₂ = 72 N

Based on the theory, the distance from the starting point to the return point = Arc length = 109.9 feet.

Using the formula for arc length, it is possible to determine the length of an arc that contains a circle by providing the radius and the central angle.

AL = ∅/360 × 2πr

Considering that the new area is a quarter circle in shape, then ∅ = 90°.

Raidus (r) = 70 ft

The distance between the point of departure to the place of departure again= arc length.

Al = ∅/360 × 2πr =  90/360 × 2π(70)

Al =  109.9 feet

In conclusion, According to the hypothesis, the distance from the point of departure to the point of arrival is equal to the length of the arc, which is equal to 109.9 feet.

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CQ

The figure below shows the ideal pattern of movement of a herd of cattle, with the arrows showing the movement of the handler as he moves the herd. The arc the handler makes from the starting point to the return point should be a quarter of a circle: A sector showing a quarter of a circle is drawn. The radius is marked as 70 feet. The endpoints of the arc of the sector are marked as Starting Point and Return Point. The sector is filled with cattle. Based on this theory, what distance will the handler move from the starting point to the return point if he creates an arc of a circle with radius 70 feet? 439.6 feet 3846.5 feet 109.9 feet 1758.4 feet

Answer: -44

Step-by-step explanation: First you do add -32 to both sides of the equation, then yo add it all together... Hope this helped :)

Answer:

-12+(-32)= -44

Step-by-step explanation:

negative numbers plus a negative number would result in a smaller negative number. So -12 + -32 would be -44.

Firstly, OS is the radius of the circumference. So, OS = OR = OT = OP. So:

Similarly, we can find RQ by:

Because QS is tangent to the circumference, the angle m\(\begin{gathered} OQ^2=OS^2+QS^2 \\ 34^2=16^2+QS^2 \\ QS^2=34^2-16^2=1156-256=900 \\ QS=\sqrt[]{900}=30 \end{gathered}\)So, OQ = 34, QS = 30 and RQ = 18.

The mean number of travel days per year for salespeople employed by three hardware distributors needs to be estimated with a 0.95 degree of confidence. The correct option to this number is 1,219.

To calculate the sample size needed for a desired level of confidence, we can use the formula:
n = (Z^2 * σ^2 * N) / ((B^2 * (N-1)) + (σ^2))
where:
n = required sample size
Z = Z-score (for a 0.95 degree of confidence, Z = 1.96)
σ = standard deviation (18 days)
N = population size (unknown, but not needed for large populations)
B = margin of error (2 days)
n = (1.96^2 * 18^2) / (2^2)
n = (3.8416 * 324) / 4
n = 1241.7984
Since we cannot have a fraction of a salesperson, we round up to the nearest whole number. Thus, the required sample size is approximately 1,242 salespeople. However, this option is not among the multiple choices provided. The closest option to this number is 1,219.

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Answer:

\(y=\frac{1}{12} cup\ of\ suger\)

Step-by-step explanation:

From the question we are told that:

Sample size \(n=3(3/4)=9/12\)

Amount used \(x=1(2/3)=2/3\)

Generally the equation for sugar lift \(y\) is given as is mathematically given by

 \(y=n-x\)

 \(y=\frac{9}{12} -\frac{2}{3}\)

 \(y=\frac{1}{12}\)

Answer:

Step-by-step explanation:

To solve this problem, we need to find the Least Common Factor between 15 and 9.

15    9   | 3

5      3  |  3

5      1   |  5

1

So, the Least Common Factor would be 3x3x5 = 45. But, we need a multiple of this number which must be between 150 and 200. So,

45 x 4 = 180.

Therefore, the cable measures 180 meters.

The limit lim (x,y)->(-3,3) (9x^2 - y^2) evaluates to -72. In this problem, we are asked to find the limit of the expression (9x^2 - y^2) as (x,y) approaches (-3,3).

1. To evaluate this limit, we substitute the values of x and y into the expression and see what value it approaches.

2. When we substitute x = -3 and y = 3 into the expression, we get (9(-3)^2 - 3^2) = (9*9 - 9) = 81 - 9 = 72. However, the problem asks for the limit as (x,y) approaches (-3,3), so we need to consider what happens as we get closer and closer to this point.

3. As we approach (-3,3) along different paths, the expression (9x^2 - y^2) approaches the same value of -72. This means that the limit of the expression as (x,y) approaches (-3,3) exists and is equal to -72.

4. In summary, the limit lim (x,y)->(-3,3) (9x^2 - y^2) evaluates to -72.

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Answer:

262.144 cubic mm

Step-by-step explanation:

Volume = \(side^{3}\)

So, 6.4*6.4*6.4=262.144 cubic mm

There are 160 people in 2 tours, 320 people in 4 tours, and 720 people in 9 tours. The ordered pair is plotted on the graph attached.

Based on the information provided, there are 80 people in each group. The number of people in given number of tours is given by:  No of people = 80 x No of tour

No of tour = 2

No of people = 80 x 2 = 160

No of tour = 4

No of people = 80 x 4 = 320

No of tour = 9

No of people = 80 x 9 = 720

Hence, the ordered pair described by the data is (2, 160), (4, 320), and (9, 720). An ordered pair refers to a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. Plot the ordered pair on the graph

Note: The question is incomplete. The complete question is attached.

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Answer:

449189

Step-by-step explanation:

Answer:

449, 189

Step-by-step explanation:

276,947 + 449,189 = 726, 136

Answer:

x=2

length y = 4

angle Z = 45

Step-by-step explanation:

x^2 = 2x^2 - 4

put like terms on same sides, lets subtract x^2 to both sides

0 = x^2 - 4

add 4 to both sides

4 = x^2

square root of 4 = 2

x=2

since it is a square, we know all sides are the same length (proof also shown) so y is equal to the other side x^2

y = x^2

y = 4

Angle Z is 45 degrees, because a square has all right angles that are 90 degrees, but a diagonal evenly splits angle into two 45 degree parts.

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If the speed of boat in still water iss 9 mph and takes 1.5 miles to go and come 4 miles uptream and downward then the current of the river is 9.24 mph.

Given that the speed in still water be 9 mph, time to travel 4 miles upstream and downward is 1.5 hours.

We are required to find the speed of current of the river.

let the speed of current be c mph.

Effective speed in downstream=9+c

Effective speed in upstream=9-c

Total time=1.5 hours.

Total distance=4 miles.

Time for upstream stream+ time for downward stream=1.5 hours

2/(9+c)+2/(9-c)=1.5

18-2c+18+2c=1.5(9+c)(9-c)

36=1.5(81-\(c^{2}\))

36=121.5-1.5\(c^{2}\)

1.5\(c^{2}\)=121.5-36

\(c^{2}\)=85.5

c=9.24 mph.

Hence the speed of the current of the river is 9.24 mph.

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Answer:

13818

I think that is your answer

A mathematical description of hexagon is given above.

In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

The bounded plane region, the bounding circuit, or the two together, may be called a polygon.

The segments of a polygonal circuit are called its edges or sides.

Given is hexagon.

In geometry, a hexagon is a six-sided polygon creating the outline of a cube. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°.

A regular hexagon is defined as a hexagon that is both equilateral and equiangular. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle).

Therefore, a mathematical description of hexagon is given above.

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A fraction in simplest form M = 3/4

Part A is 1/4 of the whole

Part B is 3/4 of the whole

Assuming there are no other parts,

the Whole = A + B is the denominator:

Whole = 3 + 9 = 12

Part A = 3 and Part B = 9 are numerators for each fraction.

The fractions are then:

3/12 and 9/12

Meaning:

Part A is 3/12 of the whole

Part B is 9/12 of the whole

Reducing the fractions, it is also true that:

Part A = 1/4 of the whole

Part B = 3/4 of the whole

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Answer:

its the first graph from 1/2 - 1 - 1 1/2

Step-by-step explanation:

its all even and its constantly going up

To evaluate the given surface integral using the Gauss formula, further information is required, specifically the description of the solid for which (S) represents the outside surface.

The Gauss formula, also known as the divergence theorem, relates a surface integral to a volume integral. It states that the flux of a vector field through a closed surface is equal to the triple integral of the divergence of the vector field over the enclosed volume.

In the given problem, we have a surface integral over the outside surface (S) of a solid. However, the description of the solid is missing, so we cannot proceed with evaluating the integral using the Gauss formula.

To apply the Gauss formula, we need to determine the vector field and the solid's volume. Without this information, it is not possible to calculate the integral.

Therefore, without knowing the details of the solid and the vector field involved, we cannot evaluate the surface integral using the Gauss formula.

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