Find the volume of each solid shape. Round your answer to two decimal places. (Use 3.14 for pi)

Arithmetic operations on the directed numbers gives;

7) -7

8) +73

9) - 8

10) + 1

Any given number which has either a positive or negative sign is a directed number. Thus all numbers are directed in one way or the other. Some examples are: 8, +2, - 8.35, 10, 520 etc.

Performing an arithmetic operations on the given question, we have;

7) +9 - + 16 = +9 -(+16)

applying the rule of signs

+9 - (+16) = + 9 - 16

              = -7

8) +85 - + 12 = +85 - (+12)

applying the rule of signs

+85 - (+12) = +85 - 12

                 = +73

9) -6 - 2

applying the rule of signs

-6 -2 = -8

10) +13 - + 12 = +13 - (+12)

applying the rule of signs

+13 - (+12) = +13 - 12

                = +1

Learn more about directed numbers at https://brainly.com/question/29257646

#SPJ1

The linear function for the given graph is y = x + 20.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function. It has one independent variable and one dependent variable. For slope (m) and y-intercept (b) form, the equation is given by:

y = mx + b

From the graph,

The coordinates of the given graph are (0,20) and (20,40)

Then, slope (m) = (40-20)/(20-0) = 20/20 = 1

and y-intercept (b) = 20

So, the equation will be y = 1x + 20

Hence, the linear function for the given graph is y = x + 20.

To learn more about a linear function

https://brainly.com/question/29213103

#SPJ1

Answer:

Kenyon could make a total of 7 bouquets.

Step-by-step explanation:

To find the greatest number of bouquets we need to find GCF.

We need to find GCF for 21 and 28.

The factors of 21 are: 1,3,7, and 21.

The factors of 28 are: 1,2,4,7,14, and 28

1 and 7 are the common factors between 21 and 28.

From the factors, the greatest common factor is 7.

Answer:

-51

Explanation:

\(=17\left(-3\right)\\\\=-51\)

Answer:

-51

Step-by-step explanation:

because you add the parenthesis first so 17, and you times that by -3

Answer:

its m=185t

Step-by-step explanation:

because if you divide

An equation which represent the total meters (m) that Sam runs in t minutes is: B. m = 185t.

Mathematically, a proportional relationship can be represented with the following equation or mathematical expression:

m = kt

Where:

Next, we would determine the constant of proportionality (k) for each candy as follows:

From Jacob's running, we have the following:

Constant of proportionality (k) = t/m

Constant of proportionality (k) = 400/2

Constant of proportionality (k) = 200

Since Sam runs 15 meters less each minute than Jacob does, an equation that represent the total meters (m) that he runs in t minutes is given by:

m = (200 - 15)t

m = 185t

Read more on proportionality here: brainly.com/question/12866878

#SPJ1

The order of operations (PEMDAS) states that we should perform multiplication and division before addition and subtraction. Using this order, we get:

244 - (33456 / 3456) * 345 + 13.55 - 2

= 244 - 97.02 * 345 + 13.55 - 2

= 244 - 33494.1 + 13.55 - 2

= -33238.55

Therefore, 244-33456/3456*345+13.55-2 = -33238.55.

Answer:

Solving gives us the result, x = 2, y = -1

Step-by-step explanation:

The system of equations is,

y = 2x-5

y=-2x+3

equating the two equations, we get,

(since y = y)

\(2x-5 = -2x + 3\\4x -5 = 3\\4x = 3+5\\4x=8\\x=8/4\\x=2\)

and then since y = 2x-5

\(y=2(2)-5\\y=-1\)

so, x =2, y = -1

Answer:

11

Step-by-step explanation:

Step 1:

3/7r+5/8s

Step 2:

So u multiply 3/7 by 14

3/7 x 14= 42/7= 6

Step 2.5:

Now u multiply 5/8 by 8

5/8 x 8= 40/8= 5

Step 3:

6+5=11

The volume of the rectangular box will be 120 cubic inches.

Volume is defined as the space occupied by any object in the three dimensions. All three parameters are required for the volume like length, width, and height of cube or cubes.

Given that the box has a length of 6 feet, a width of 4 feet, and a height of 5 inches.

The volume will be calculated by the formula,

Volume = 6 x 5 x 4

Volume = 120 Square inches

Therefore, the volume of the box has dimensions of a length of 6 feet, a width of 4 feet, and a height of 5 inches.

To know more about volume follow

https://brainly.com/question/8880159

#SPJ2

Answer:

y = - 3x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (2, 1) ← 2 points on the line

m = \(\frac{1-7}{2-0}\) = \(\frac{-6}{2}\) = - 3

the line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - 3x + 7 ← equation of line

The equation of the line in fully simplified slope-intercept form is y = -2.8x + 7

The linear graph represents the given parameter

For the graph, we have the points

(0, 7) and (25, 0)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 7

Using the point (2.5, 0) on y = mx + 7, we have

m(2.5) + 7 = 0

2.5m + 7 = 0

Evaluate

m = -2.8

So, we have

y = -2.8x + 7

Hence, the equation of the line in fully simplified slope-intercept form is y = -2.8x + 7

Read more about linear relation at

brainly.com/question/30318449

#SPJ1

Answer: 1/8

Step-by-step explanation:(f‌‌‌‌‌‌‌÷g)(x) =

f(x) / g(x) =

2x / 22x

When we divide expressions with like bases, we subtract the exponents.

2(x - 2x) =

2-x

Now we substitute x = 3

So (f‌‌‌‌‌‌‌÷g)(3)

2-3

When we have a negative exponent, we perform the reciprocal of the expression and remove the negative sign from the exponent.

1/(23) =

1/8

Answer:

\(a = 40600(1 + \frac{0.009}{1} ) {}^{10} = 40600 \times 1.0937 = 44405.6\)

El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.

Por otro lado, el número "cuarenta mil dos" se representa como 40,002.

Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.

Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.

Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.

En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.

Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.

Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.

En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.

Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).

For similar questions on Novecientos

https://brainly.com/question/1753221

#SPJ8

4(8-x)=8

8-x=8/4

8-x=2

-x= 2-8

-x= -6

x=6

-> c

Answer:

c. The period is 2π

Step-by-step explanation:

The period of a function is the smallest value of $p$ for which\( f(x+p) = f(x)\) for all x.

For the function f(x) = 2cos(x^2), we can see that f(x+2π) = f(x) for all x.

This is because the cosine function has a period of 2π. Therefore, the period of f(x) = 2cos(x^2) is \(\boxed{2\pi}\)

Answer:

\(\displaystyle \frac{cd^6}{a^4b^2}\)

Step-by-step explanation:

\(\displaystyle \frac{a^{-4}b^{-2}cd^6}{e^{-7}}\\\\=a^{-4}b^{-2}cd^6e^7\\\\=\frac{cd^6}{a^4b^2}\)

Notice that the variables with negative exponent that were originally in the denominator went to the numerator (like with \(e^{-7}\)) and became positive, and vice versa with those originally in the numerator went in the denominator (like with \(a^{-4}b^{-2}\)) and also became positive.

Step-by-step explanation:

a‐⁴b‐²cd⁶

_______

e‐⁷

cd⁶e⁷

_____

a⁴b²

Answer: B. 22%

Step-by-step explanation:

Answer:

Yeah its 22%

Step-by-step explanation:

Answer:

368=bx

Step-by-step explanation:

just quessing hope i helped.

Answer:

Step-by-step explanation:

the selections that are equivalent to 4 + w + 12:

1st and 3rd

Answer:

Step-by-step explanation:

The total angle is 180 so 180 is 95 is 75

x=75

A traingle has a total of 180

180-50-75=55

y=55

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

For more questions on equilateral triangle:

https://brainly.com/question/17264112

#SPJ8

We are given the following image to represent the trajectory of a ball launched into the air:

We notice a parabola with a maximum at the point (3, 8)

crossing of the x-axis at x = 0 and at x = 6

and the vertex of the parabola at the point (3, 8) giving the axis of symmetry at the line x = 3

The 87th percentile is the value \(x_{0.87}\) such that 87% of the distribution lies below \(X=x_{0.87}\), i.e.

\(P(X \le x_{0.87}) = 0.87\)

Transform \(X\) to the standard normal random variable \(Z\), then solve for \(x_{0.87}\) using the inverse CDF of \(Z\).

\(P(X\le x_{0.87}) = P\left(\dfrac{X-60}{12} \le \dfrac{x_{0.87}-60}{12}\right) = P\left(Z \le \dfrac{x_{0.87}-60}{12}\right) = 0.87\)

\(\implies \dfrac{x_{0.87}-60}{12} = F_Z^{-1}(0.87) \approx 1.12369\)

\(\implies \boxed{x_{0.87} \approx 73.5167}\)

Step-by-step explanation:

Triangles ABC and DEF are congruent.

The letter B is the 2nd letter in 'ABC'.

Likewise, the letter E is the 2nd letter in 'DEF'.

Therefore Angle B = Angle E.

Answer: 120 members

Step-by-step explanation: So, we know 12 of the members signed up, and 90% of the member did not sign up.

Therefore, 12 members is equal to 10%...

All we have to do now is...

12 * 10 = 120

The club has 120 members in total, I hope this helps!

Answer:

2x-4

Step-by-step explanation:

5x-(4+3x)

5x-4-3x

5x-3x-4

2x-4

The value of x is 2 so that the volume is 48 m³

The area of a rectangle is the region occupied within the boundary of the rectangle.

The formula of the area of a rectangle is used to find the area occupied by the rectangle within its boundary. The area of a rectangle is obtained by multiplying its length and width (breadth).

Area of a Rectangle = Length × Width

Volume of a rectangular solid is the product of the length, width, and height.

Volume of a rectangular solid in terms of the area of the base. The area of the base B is equal to Length × Width

Base = Length × Width

Volume of rectangular solid = Base × Height

Given:

Length of rectangular piece of metal = 10 - 2x

Breadth of rectangular piece of metal = 8 - 2x

Area of rectangle = Length × Width

(10 - 2x) (8 - 2x) = 24

80 - 20x - 16x + 4x² = 24

4x² - 36x + 56 = 0

x² - 9x + 14 = 0

x² - 7x - 2x + 14 = 0

x(x - 7) -2(x - 7) = 0

(x - 2)(x - 7) = 0

x = 2 and x = 7(Not possible)

when x = 2 cm (height)

Volume = Area of Base × height

Volume = 24 × 2

Volume = 48 cm³

So, the value of x is 2.

To know more about volume visit:

brainly.com/question/1578538

#SPJ1                    

Answer:

x = 2.4

Step-by-step explanation:

4x + 5 / x + 7
combine like terms

X + 4x = 5x

5 + 7= 12

12/ 5x

Divide

12 /5= 2.4

X= 2.4