Bill made $204 for 12 hours of work. At the same rate, how much would he make for 18 hours of work?

Step-by-step explanation:

the volume of a cylinder is simply ground area times height.

the area of a circle is pi×r²

so, in total we have pi×r²×h

r = 14

h = 20

so, the total capacity is

Ct = pi × 14² × 20 = pi × 196 × 20 = pi × 3920 =

= 12315 cm³ = 12315 ml = 12.315 liters

I.

only 2/5 of the total capacity is filled.

so, the filled capacity is

Cf = 12315 × 2 / 5 = 2463 × 2 = 4926 ml = 4.926 liters

II.

it is the remainder to the total.

so, the empty capacity that can still be filled is

Ce = 12315 - 4926 = 7389 ml = 7.389 liters

Answer:

\(\frac{9}{28}\)

Step-by-step explanation:

Given expression:

 Find the quotient;

                      =      \(\frac{2}{7}\)  ÷ \(\frac{8}{9}\)

Now, let us solve the problem;

          the division sign will invert  \(\frac{8}{9}\);

                     =    \(\frac{2}{7}\)  x \(\frac{9}{8}\)

                               2 will go in 8

                   = \(\frac{1}{7}\) x \(\frac{9}{4}\)

                   = \(\frac{9}{28}\)

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Answer:

The second one.

Step-by-step explanation:

The table for this problem is completed as follows:

The exponential function is defined as follows:

\(y = 3(6)^x\)

An exponential function has the definition presented as follows:

\(y = ab^x\)

In which the parameters are given as follows:

a is the value of y when x = 0.

From the table, when x = 0, y = 3, hence the parameter a is given as follows:

a = 3.

When x increases by two, y is multiplied by 108/3 = 36, hence the parameter b is obtained as follows:

b² = 36

b = 6.

Hence the function is:

\(y = 3(6)^x\)

The numeric value at x = 1 is:

y = 3 x 6 = 18.

The numeric value at x = 3 is:

y = 3 x 6³ = 648.

The numeric value at x = 4 is:

\(y = 3(6)^4 = 3888\)

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The simplified expression is \(-4x^2 + 3x + 1\), which is a quadratic polynomial. Option D.

To simplify the expression \((8x^2 + 3x) - (12x^2 - 1)\), we can distribute the negative sign to each term within the parentheses:

\(8x^2 + 3x - 12x^2 + 1\)

Next, we can combine like terms by adding or subtracting coefficients of similar powers of x:

\((8x^2 - 12x^2) + 3x + 1\)

Simplifying further, we have:

\(-4x^2 + 3x + 1\)

The resulting polynomial \(-4x^2 + 3x + 1\) is a quadratic polynomial since it has a highest power of x^2 (the exponent of x is 2), which is\(-4x^2.\)Quadratic polynomials are polynomials of degree 2 and can be represented by a parabola when graphed.

In summary, the simplified expression \((8x^2 + 3x) - (12x^2 - 1)\) simplifies to \(-4x^2 + 3x + 1\) , which is a quadratic polynomial. So Option D is correct

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Note the complete question is

Answer:

Hello

DiinoMahFill in the blank. In the triangle below, x=?. Round your answer to two decimal places.

Answer:(2I3O-9247)

Step-by-step explanation:

Answer:

A) 128

B) 7800

Step-by-step explanation:

Trial and error until I got to 75 x 104 and 60 x 128 (which abides by the fact that there has to be 24 more red boxes) which equals 7800 and 7680 and if you take them away from each other you get 120

Answer:

1.335 Kilograms

Step-by-step explanation:

Answer:

last option, 1.335kg

Step-by-step explanation:

total, in grams, of all ingredients is 1335

create a proportion based on 1000g = 1kg

1000g = 1335g

   1kg            x

cross-multiply:  1000x = 1335

x = 1.335

Answer: 0.2461

Step-by-step explanation:

There are 16 balls in total, and 9 of them are purple. If the first ball drawn is replaced before the second is drawn, then the number of purple balls and the number of total balls in the urn remain the same for the second draw.

The probability of drawing a purple ball on the first draw is 9/16. Since the ball is replaced, the probability of drawing a purple ball on the second draw is also 9/16.

The probability that the second ball drawn is a purple ball, given that the first ball drawn was replaced and was a green ball:

(7/16) * (9/16) = 63/256 ≈ 0.2461

Answer:

$66,092.50

Step-by-step explanation:

In 1988, the car cost $17,000

Annual inflation over this period was 3.54% from 1988 to 2017

After adjusted for inflation, $17,000.00 in 1978 is equal to $66,092.50 in 2017

Therefore, the cost of that car in 2017 is closest to $66,092.50

Answer:

Maximum= (-2,15)

Minimum= (2,-15)

Answer:

Given equations are,

5x+2y=−2        (1)

3x−5y=17.4      (2)

Multiply equation (1) by 5 and equation (2) by 2, we get,

5(5x+2y)=5×−2

∴25x+10y=−10          (3)

2(3x−5y)=2×17.4

∴6x−10y=34.8          (4)

Adding equations (3) and (4), we get,

31x=24.8

∴x=

31

24.8

​

Put this value in equation (1), we get,

5(

31

24.8

​

)+2y=−2

∴

31

124

​

+2y=−2

∴2y=−2−

31

124

​

∴2y=

31

−186

​

∴y=

31

−93

​

Step-by-step explanation:

Answer:

the answers is 216in²

The ordered pairs are (1,0), (2,6/5),(3,12/5)

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: The equation as y = 6x/5 - 6/5

putting (1,0) in the equation we get 6×1/5-6/5=0

Similarly we can find the ordered pair as y = 6/5x - 6/5

Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)

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Answer:

2029.2 ft

Step-by-step explanation:

If x represents the number of minutes, then all you have to do is plug in 170 ( the number of minutes ) into the equation.

y = 7.96 (170) + 676

y = 1353.2 + 676

y = 2029.2

y represents the hiker's elevation in feet, so the answer would be 2029.2 ft.

let me know if anything is confusing :-))

Answer:

s = 13.6

m∠T = 35.7°

m∠U = 61.3°

Step-by-step explanation:

• Solving for side s:

To find the length of side s, we have to use the cosine rule:

\(\boxed{a^2 = b^2 + c^2 - 2bc \ cosA}\),

where:

In this case, the unknown side is s, and the sides adjacent to it have lengths of 8 and 2. The angle opposite to s is ∠S = 83°. Therefore,

\(s^2 = 8^2 + 12^2 -2(8)(12) \cdot cos(83^{\circ})\)

⇒ \(s = \sqrt{8^2 + 12^2 -2(8)(12)\cdot cos(83^{\circ})}\)

⇒ \(s = \bf 13.6\)

• Solving for m∠T:

In order to find m∠T, we can use the sine rule:

\(\boxed{\frac{sinA}{a}= \frac{sinB}{b} =\frac{sinC}{c}}\),

which means that the ratios of the sines of angles and their opposite sides are equal for a triangle.

The side opposite to ∠T is US = 8. Therefore:

\({\frac{sinT}{8} = \frac{sin(83^{\circ})}{13.6}}\)

⇒ \(sinT= \frac{sin(83^{\circ})}{13.6} \times 8\)

⇒ \(T = sin^{-1}( \frac{sin(83^{\circ})}{13.6} \times 8)\)

⇒ \(T = \bf 35.7^{\circ}\)

• Solving for m∠U:

Now that we know the values of two angles of the triangle, we can calculate the third angle using the fact that the angles in a triangle add up to 180°:

∠U + ∠S ∠T = 180°

⇒ ∠U + 83° + 35.7° = 180°

⇒ ∠U = 180° - 83° - 35.7°

⇒ ∠U = 61.3°

Since the correlation coefficient is always between -1 and 1 and only -1.645 is not between -1 and 1. Hence, option B is the correct answer to this question.

The correlation coefficient is always between -1 and 1.

The value of r should be between -1 and 1.

so, -1<= r <= 1.

1=1

1.645 > 1

-k = 0 < 1

-1 = -1

-1 < 0.001 < 1

-1 < -0.751 < 1

Only -1.645 is not between -1 and 1.

So, we can say that -1.645 could not be a value for r.

Hence, the correct option is -1.645.

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Answer:

When a figure is rotated counterclockwise about the origin, its original coordinates of point P (x,y) will now be positioned as P' (-y,x).

X (1,-1) --> X' (1,1)

Y (3,4) --> Y' (-4,3)

Z (5,-1) --> Z' (1,5)

The correct set of image points for triangle X'Y'Z' is X'(1,1), Y'(-4,3), and Z'(1,5).

Step-by-step explanation:

Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.

If a point A(x, y) is rotated 90° counterclockwise the new point is A'(-y, x).

Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)

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Answer: 13.5

Step-by-step explanation: Trust me Ik or you can say 13 1/2 when x equals 3

Answer:

y = 13.5 when x = 3.

Step-by-step explanation:

First, we find the equation of the proportional relation.

The standard form an equation of direct variation is

y = kx

We need to find the number for k for this relation.

We use the given point.

y = 9 when x = 3.

9 = k × 3

k = 9/2

k = 4.5

The relation is:

y = 4.5x

Now we let x = 3

y = 4.5(3)

y = 13.5

The relation for x and y is given as y = 26/x. The correct answer is option (B).

When two quantities have some dependence in their values they can be said proportional to each other.

It can be of two types such as direct and indirect.

The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.

Given that,

The proportionality relation between x and y as

y ∝ 1/x

And, y = 2 at x = 13.

Suppose k is the constant of proportionality.

Then, y = k/x

Substitute y = 2 and x = 13 in the above equation to obtain,

2 = k/13

=> k = 26

Thus, by substituting the value of k the equation can be written as y = 26/x.

Hence, the equation that relates x and y is y = 26/x.

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Answer:

\(x \leq -4\)

There will be a filled-in hole at -4.

Step-by-step explanation:

We can solve an inequality the same way we do for equations. The only thing to keep in mind, is that multiplying by a negative number will result in flipping the inequality sign (< to > and vice versa)

\(-7x + 13 \geq 41 \text{ //}-13\\-7x \geq 28 \text{ //}:-7 \text{ (Notice we multiply by a negative number.)}\\x \leq -4\)

The difference between a filled-in and an empty hole in terms of inequality graphs, is whether or not the number limiting the inequality is included in it.

For example, in x > 3, 3 is limiting the inequality, however, it is not included in it, therefore, x would always be greater than 3.

In another example, \(x \leq -4\), -4 is limiting inequality and is included in it. Therefore, x would always be less than or equal to -4.

A filled-in hole means the number is included in the inequality, while an empty one means it isn't.

In our cases, -4 is included in the inequality (notice the line under the inequality sign that resembles "less than or equal to"), therefore there will be a filled-in hole at -4.

Answer:

Yes it seems that it is right

Answer: It would be the first one (20 pens for 8$)

Step-by-step explanation: If you divide 20 by 8 then each pencil will be 2.50$. However if you divide 30 by 10 it will be 3 dollars for each pencil so the first deal will be better since you spend less money.

El carro tarda aproximadamente 0.29 horas o 17.4 minutos en recorrer una distancia de 120 km a una velocidad de 420 km/h.

Para calcular el tiempo que emplea un carro que viaja a una velocidad constante de 420km/h para recorrer una distancia de 120km, podemos utilizar la fórmula de la velocidad promedio, que es distancia dividida por el tiempo.

Despejando el tiempo, obtenemos que el tiempo es igual a la distancia dividida por la velocidad, es decir:
tiempo = distancia / velocidad
Sustituyendo los valores, tenemos:
tiempo = 120km / 420km/h
Realizando la división, obtenemos:
tiempo = 0.2857 horas
Podemos convertir esto a minutos multiplicando por 60, lo que nos da:
tiempo = 17.14 minutos
Por lo tanto, el carro tarda aproximadamente 17 minutos y 8 segundos en recorrer una distancia de 120km a una velocidad constante de 420km/h.
Hola, para calcular el tiempo que emplea un carro en recorrer una distancia de 120 km a una velocidad de 420 km/h, debes utilizar la fórmula:
Tiempo = Distancia / Velocidad
En este caso:
Tiempo = 120 km / 420 km/h = 0.2857 horas
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Answer:

The answer to the question is C

Step-by-step explanation:

as the question state that 1.9 is subtracted from the 7.4×3 so tge 1.9 will be removed ffrom it .

True: Solving a system of equations using the graphing, substitution, or elimination method will find the exact same solution.

False: Elimination can never be used to solve a nonlinear system of equations (a system where one equation is not linear).

A system of equations can be defined an algebraic equation that only has two (2) variables and can be solved simultaneously.

In Mathematics, there are three (3) main methods that are commonly used for solving a system of equations simultaneously and these include the following:

Generally speaking, the same solution would be obtained when any of the three (3) methods for solving a system of equations are used. However, it is completely false to state that the elimination method cannot be used to solve a nonlinear system of equations.

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