How should 4.193 be written in word form?

four and one hundred ninety-three
four and one hundred ninety-three tenths
four and one hundred ninety-three hundredths
four and one hundred ninety-three thousandths

The value of p when q is 2 is 1

Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value.

This means that has x increases y will decrease and vice versa.

If p is inversely proportional to q , then p = kq

when p = 2, q = 4

2 = k4

k = 2/4

k = 1/2

When q = 2

p = 1/2 × 2

p = 1

Therefore the value of p is 1

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The required algebraic expression that represents the perimeter of the dining room table is 8w - 4.

Perimeter is the measure of the figure on its circumference.

Here,
The perimeter of a rectangle is given by the formula P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.

Substituting the given expressions for the length and width of the dining room table, we get:

P = 2(3w - 2) + 2w

Simplifying the expression, we get:

P = 6w - 4 + 2w

Combining like terms, we get:

P = 8w - 4

Therefore, the algebraic expression that represents the perimeter of the dining room table is 8w - 4.

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Answer:

a. y(cost) = 4.95g + 5.45c

b. $91.12

Step-by-step explanation:

a. Joe bought g gallons of gasoline for 4.95, this can be represented as 4.95g. He bought c cans of oil for 5.45, this can be represented as 5.45c. Add them together to find the total cost, and it will look like this: y(cost) = 4.95g + 5.45c.

b. g = 9.6 gallons

c = 8 cans of oil

Plug these into the equation we did in part A

y(cost) = 4.95(9.6) + 5.45(8)

Solve

y(cost) = 47.52 + 43.6

y(cost) = 91.12

Therefore, if Joe bought 9.6 gallons of gasoline and 8 cans of oil, all in all he spent $91.12.

Hope this helps!!

- Kay :)

On solving the provided question, we can say that F= The lifting force is 27135 0.003357*250*180*180 = F=27135, surface area

The total area that all of a 3D object's faces cover is the surface area. The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. Always expressed in square units.

The entire surface of a three-dimensional shape is referred to as its surface area. A cuboid with six rectangular faces has a surface area equal to the sum of the areas of each face. Alternatively, you can label the cuboid's length, width, and height (l, w, and h), then calculate its surface area (SA) using the formula: SA=2lw+2lh+2hw.

F= k*a*v^2

a= 250

v=190

30300=k*250*{190^2}

k= 0.03357

F= 0.003357*250*180*180

F=27135

The lifting force is 27135

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Answer:

x = 3y-6

x = -y

x = -y

x=y-4

x = y/3 - 1/3

x = 2y

Step-by-step explanation:

The radius of the gear should be approximately 2.8644 inches.It is important to note that when making calculations involving units, we need to make sure that all units are consistent and convert them when necessary. In this case, we converted the answer from feet to inches to match the given unit.

To find the radius of the gear that will pull a chain at 60 ft/min when rotating at 40 rev/min, we can use the formula:

chain speed = 2 x pi x radius x rotational speed

where pi is a mathematical constant approximately equal to 3.14.

We know that the chain speed is 60 ft/min and the rotational speed is 40 rev/min, so we can substitute those values into the formula:

60 = 2 x 3.14 x radius x 40

Simplifying the equation, we get:

radius = 60 / (2 x 3.14 x 40)

radius = 0.2387 ft

To convert feet to inches, we can multiply the answer by 12:

radius = 0.2387 x 12 = 2.8644 inches.

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The distance from Atlanta to San Jose is 2750 miles

Using the map scale derived from the Chicago-San Jose distance, each inch on the map represents approximately 183.33 miles

This answer is gotten it we divide the distance from Chicago to San Jose with 12.

Thus, 2200 miles / 12 inches = 183.33 miles/inch.

Using this scale, the real-world distance from Atlanta to San Jose, represented by 15 inches on the map, would be approximately 2750 miles (15 inches * 183.33 miles/inch = 2750 miles).

Hence, it can be seen that the distance from Atlanta to San Jose is 2750 miles

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\(x^2-8x+10=x^2-8x+16-6=(x-4)^2-6\)

Answer:

12 cups of sugar

Step-by-step explanation:

3÷0.25=12

1/4=0.25

The equation that represents the cost, c, of n sets is c = 63.74n

from the question, we have the following parameters that can be used in our computation:

Each volleyball set costs $63.74.

Let the total number of sets be n

So we have

Cost of n = 63.74 * n

This gives

c = 63.74n

Hence, the equation is c = 63.74n

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Answer:

Below

Step-by-step explanation:

8,8,6,9,8,3,12,9,3,12,5,0,4,8,5,11,5,8. Answers are in order from the first to the last

Using chain rule, the derivative of f(x) = 4√(8x³ + 2x⁴) is

f'(x) = (2/√(8x³ + 2x⁴)) * (24x² + 8x³)

To find the derivative of the function f(x) = 4√(8x³ + 2x⁴), we can use the chain rule.

Let's break down the function into its components:

u(x) = 8x³ + 2x⁴ (inside function)

v(u) = 4√u (outer function)

To find the derivative, we apply the chain rule, which states:

(f(g(x)))' = f'(g(x)) * g'(x)

In this case, f(g(x)) = v(u(x)), and g(x) = u(x).

First, let's find the derivative of the inner function u(x):

u'(x) = 24x² + 8x³ (using the power rule for differentiation)

Next, let's find the derivative of the outer function v(u):

v'(u) = 4 * (1/2) * 1/√u = 1/√2u = 2/√u

Now, we can apply the chain rule:

f'(x) = v'(u(x)) * u'(x)

f'(x) = (2/√u) * (24x² + 8x³)

f'(x) = (2/√(8x³ + 2x⁴)) * (24x² + 8x³)

The derivative of the function is  (2/√(8x³ + 2x⁴)) * (24x² + 8x³)

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The value of the car after 3 years is $79, 000

To determine the value, we have to use the formula;

Value = Initial value × (1 - Depreciation rate)ⁿ

Substitute the values given, we get;

Remaining value after 3 years = $100,000 × (1 - 0.10)³

Expand the bracket, we get;

Value after 3 years = $100,000 × (0.90)³

Find the cube value and substitute, we have;

Value after 3 years = $100,000 × 0.729

Multiply the values, we have;

Value after 3 years = $72,900

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Answer:

Option 4

Step-by-step explanation:

                h = x units

   diameter = x units

                 r = (x/2) units

    \(\sf \boxed{\text{ \bf Volume of cone = $\dfrac{1}{3} \pi r^2h$}}\)

                                   \(\sf =\dfrac{1}{3}*\pi * (\dfrac{x}{2})^2*x\\\\=\dfrac{1}{3}*\pi*\dfrac{x^2}{4}*x\\\\=\dfrac{1}{12}\pi x^3\)

The average ticket cost for each concert is given as follows:

The ticket costs are obtained by a system of equations, for which the variables are given as follows:

It cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B, hence:

6a + 6b = 1707

a + b = 284.5.

Three tickets for concert B cost a total of $687, hence the cost for concert B is of:

3b = 687

b = 287/3

b = $95.67.

Replacing into the first equation, the cost for concert A is given as follows;

a = 284.5 - 95.67

a = $188.83.

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The exact value of sin(pi/3) is √3. By definition, the sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. Therefore, sin(pi/3) = √3/1 = √3.

The exact value of sin(pi/3) can be determined using trigonometric properties and identities.

First, we know that pi/3 is equivalent to 60 degrees. In a unit circle, the point corresponding to 60 degrees forms an equilateral triangle with the origin and the x-axis. This triangle has side lengths of 1, 1, and √3.

To find the sine of pi/3, we consider the side opposite the angle (pi/3) in the triangle. In this case, the opposite side has a length of √3. The hypotenuse of the triangle is 1, as it is the radius of the unit circle.

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Answer:

The answer is 18

Step-by-step explanation:

\(\left[\begin{array}{cc}2&3\\6&4\end{array}\right] \left[\begin{array}{ccc}4&2&1\\7&5&3\end{array}\right]\)

\([2*4+3*7][2*2+3*5][2*1+3*3]\\\[6*4+4*7][6*2+4*5][6*1+4*3]\)

\([8+21][4+15][2+9]\\\[24+28][12+20][6+12]\)

\([29][19][11]\\\[52][32][18]\)

\(\left[\begin{array}{ccc}29&19&11\\52&32&18\end{array}\right]\)

18 the only answer choice that appears.

Hope this helps!

Answer:

The correct answer is 2x^6y^2

Step-by-step explanation:

I got it right. Hope this helps.

An expression is defined as a set of numbers, variables, and mathematical operations. The solution of the given expression (12x⁹y⁴)/(6x³y²) is 2x⁶y².

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression (12x⁹y⁴)/(6x³y²) can be solved as,

(12x⁹y⁴)/(6x³y²)

= (12/6) x⁽⁹⁻³⁾ y⁽⁴⁻²⁾

= 2x⁶y²

Hence, the solution of the given expression (12x⁹y⁴)/(6x³y²) is 2x⁶y².

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The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

Answer:

In our ordinary division, we are clear about the division of a number by the same number. The quotient is always 1 in such case.

For example:-

Divide 4 by 4.

Here,

\( \frac{4}{4} = 1\)

Now let solve the above examples by using the laws of indices.

\( \frac{4}{4} = {4}^{1 - 1} = {4}^{0} = 1\)

Similarly,

\( \frac{ {x}^{m} }{ {x}^{m} } = {x}^{m - m} = {x}^{0} = 1\)

Thus,any base with zero index is equal to 1.

We need to tell the index of x for which x will be 1 , First of all , always remember that index of a number means power of the number or to which power it's raised to, like in 2³ , 2 is raised to 3 so 3 is the index. Also we knows an identity i.e

Let's put , m = n

\({:\implies \quad \sf \dfrac{a^m}{a^m}=a^{m-m}}\)

\({:\implies \quad \boxed{\bf{a^{0}=1}}}\)

Also , you should note that for a = 0 , the given expression becomes 0⁰ ,which is not defined , so the above expression is true only for \({\bf{a\in (-\infty,0)\cup (0,\infty)}}\)

Now , as we can replace variables , so , if we replace a by x , we get x⁰ = 1 .

Hence , the required index is 0

Answer:

Hello!!

Mr. Ophaug earns $100 every 2 hours for tutoring kids in math after school. He is willing to tutor up to 6 hours each week. Create a table of values for this scenario and find the rate of change.

time (h)      money earned

2                 $100

3                 $150

4                 $200

5                 $250

6                 $300

Hope this helps!!

Answer:

2 hours = 100

3 hours = 150

4 hours = 200

5 hours = $250

6 hours = $300

The rate of change is $50 because, for every hour, he is getting $50 more.

Step-by-step explanation:

2 hours = $100

3 hours = $100 plus $50 because its 1 hour more

4 hours = $100 plus $100

5 hours = $250 (2 hours plus 3 hours)

6 hours = $300 (2 hours+ 2 hours+ 2 hours)

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer:

20.8 would be the answer

Step-by-step explanation:

Answer:

y=3x

2y=x

Step-by-step explanation:

N/A

big brain award pls

Answer:

3

Step-by-step explanation:

-5+8=3

Answer:

d. 3

Step-by-step explanation:

x - 8 = -5

x = -5 + 8

x = 3

Answer:

I think there is 140 questions

Answer:

P(S) = 0.5162 or 51.62%

the probability that they are of the same gender is 0.5162 or 51.62%

Step-by-step explanation:

The probability that the two selected students are of the same gender P(S) is;

P(S) = Probability that they are both male P(M) + probability that they are both female P(F)

P(S) = P(M) + P(F) .........1

Given;

Proportion of male = 59% = 0.59

Proportion of female = 1-0.59 = 0.41

P(M) = 0.59×0.59 = 0.3481

P(F) = 0.41 × 0.41 = 0.1681

From equation 1;

P(S) = 0.3481 + 0.1681

P(S) = 0.5162 or 51.62%

the probability that they are of the same gender is 0.5162 or 51.62%

Complementary angles have sum 90°

\(\\ \rm\Rrightarrow 5x+7x-6=90\)

\(\\ \rm\Rrightarrow 12x-6=90\)

\(\\ \rm\Rrightarrow 12x=96\)

\(\\ \rm\Rrightarrow x=8\)

Answer:

x = 8

Step-by-step explanation:

Complementary angles are two angles with measures that sum to 90°

Given:

⇒ m∠C + m∠D = 90°

⇒ 5x + 7x - 6 = 90

⇒ 12x - 6 = 90

⇒ 12x = 96

⇒ x = 8

Answer:

Subtract - 3 in each term

3 - 3 < x+3 - 3 < 6- 3

0 < x < 3

Answer:

I would solve for x with the first equation, then use that to solve for y in the second, then check by inputting values.

3x+y=-2

x-y=6

x=6+y

then...

3(6+y)+y=-2

18+3y+y=-2

18+4y=-2

4y=-20

y=-5

So..

3x+-5=-2

3x=3

x=1

3(1) + -5 = -2

Step-by-step explanation:

this might be correct.