Evaluate the expression 4q(q + 3w)^2 when q = 2 and w = 3

Answer:

[tex]33.5\:\mathrm{ft^3}[/tex]

Step-by-step explanation:

The volume of a cone is given by [tex]V=\frac{1}{3}\cdot r^2\pi\cdot h[/tex], where [tex]r[/tex] is the radius of the cone and [tex]h[/tex] is its height.

What we're given:

Solving, we get:

[tex]V=\frac{1}{3}\cdot 2^2\pi\cdot 8\approx\boxed{33.5}[/tex]

Answer:

The volume of cone is 33.5ft ³.

Step-by-step explanation:

Using Formula,

Volume of cone = 1/3 × π × r ² × h

Where, r is the radius and h is the height of the cone.

Radius of cone, r = 2 ft

Height of cone , h = 8 ft

substitute the values into the formula

Volume of cone = 1/3 × 3.14 × ( 2ft ) ² × 8ft

Volume of cone = 1/3 = 3.14 × 4 ft ²× 8ft

multiply

Volume of cone = 1/3 × 100.8 ft ³

divide, we get

Volume of cone = 33.50 ft ³.

Therefore,the volume of cone is 33.50 ft³.

Answer:

[tex]x = 145[/tex]

Step-by-step explanation:

1.Approach

To find the value of (x), one will have to take multiple steps. Since a straight line is (180) degrees, one can use this property. Subtract the measure of the exterior angle (the angle formed between the extension of the side of a triangle, and the side of a triangle) from (180) to find an expression to describe the measure of the angle inside the triangle.

Then one is given a regular octagon, using the sum of interior angles formula, find the measure of any interior angle. The vertical angles that when two lines intersect, the opposite angles are congruent. One can use this property to find the final unknown angle in the triangle.

It is known that the sum of angles in a triangle is (180). Use this to find the measure of (x).

2. Find the measure of two angles in the triangle

The degree measure of a straight angle is (180), therefore, when two angles form a straight line, their sum of (180). One can apply this here by stating,

[tex]x+(unknown)=180[/tex]

Solve for unknown,

[tex]unknown = 180 - x[/tex]

One can also state,

[tex]170+(unknown_2)=180[/tex]

Solve for the unknown,

[tex]unknown_2=10[/tex]

3.Find the degree measure of one of the angles in the octagon

The given octagon (eight-sided figure) is a regular octagon. By its definition, all of the sides in any regular polygon are congruent. This is indicated here, thus the octagon is a regular octagon. One property of a regular polygon is that all of the angles in the figure are cognrunet. This means that the sum of interior angles divided by the number of angles wil give one the measurement of each angle.

The formula to find the sum of interior angles in a polygon is as follows,

[tex]S=180(n-2)[/tex]

Where (n) is the number of sides. Since an octagon has (8) sides substitute this number into the formula and solve for the sum of angles,

[tex]S=180(n-2)\\\\S=180(8-2)[/tex]

Simplify,

[tex]S=180(8-2)\\\\S=180(6)\\\\S= 1080[/tex]

Now divide by the number of angles. The number of angles in an octagon is (8). Since this is a regular octagon, all of the angles are congruent, thus dividing the sum of angles by the number of angles will give on the measure of each angle.

[tex]1080[/tex] ÷ [tex]8 = 135[/tex]

4. Find the measure of the final angle in the triangle

The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. Therefore, the final unknown angle in this triangle is equal to (135) degrees, because the angle opposite in the octagon is equal to (135) degrees.

5. Find the meausre of (x)

The sum of angles in any triangle is (180) degrees. Since one has found the measure or expression of the angle measure of each angle in a triangle, one can form an equation and solve for the unknown,

[tex](180-x)+(10)+(135)=180[/tex]

Simplify,

[tex]325-x=180[/tex]

Inverse operations,

[tex]325-x=180\\\\-x = -145\\\\x=145[/tex]

Answer:

9/16

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

A = (3/4)^2

A = 9/16

The value for the constant, d which makes x= -1 an extraneous solution is; d=5.

The constant d as given in the task content can be evaluated as follows where, x =-1;

√(8+1) + = 2(-1) +d

√9 = -2 +d

3 = -2 +d.

d = 5.

Read more on equations;

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Answer:

Step-by-step explanation:

Answer:

y=3/4x + 10

Step-by-step explanation:

First, lets put this into Point-Slope form: y-4 = 3/4(x+8)

Now, lets modify the equation in our favor, getting the "y" alone on the left hand side:  y-4 = 3/4(x+8)

                     +4                   +4

-----------------------------------------------

                  y=3/4(x+8)+4

Now, lets simplify....

                  y=3/4x + 6 + 4 = y = 3/4x+10

And we are done!

Answer:

1)=-1;1

2)=36;49

Step-by-step explanation:

1.)aqui la secuncia es dividir en -2

2.)aqui la secuencia es sumar numeros impares es decir:+3;+5;+7 etc

Answer:

A

Step-by-step explanation:

Answer:

320

Step-by-step explanation:

Given : GH bisects ∠FGI

It means : ∠FGH and ∠HGI are equal

Given :

∠FGH = (5x - 8)°

∠HGI = (6x - 15)°

⇒  5x - 8 = 6x - 15

⇒  6x - 5x = 15 - 8

⇒  x = 7°

Substituting the value of x, We get :

∠FGH = 5(7) - 8 = (35 - 8) = 27°

∠HGI = 6(7) - 15 = (42 - 15) = 27°

∠FGI = ∠FGH + ∠HGI = (27 + 27) = 54°

Answer:

68

Step-by-step explanation:

4 out of 12 are blue.

Then 8 out 12 are not blue.

8 out of 12 is the same as the fraction 8/12 which can be reduced to 2/3.

2/3 of the birds are not blue.

2/3 of 102 = 2/3 * 102 = 68

Answer: 68

Answer:the answer is b

Step-by-step explanation:reason being that the question will you be at school tmrw?cat be given a choice to say wether it’s true or false so Yh...I don’t know if that helped

Answer:

1. Yes

2. Yes

Step-by-step explanation:

A monomial is an algebraic expression consisting of one term. So, 29 is a monomial.

[tex]5x^{7}[/tex] has only one term. So, [tex]5x^{7}[/tex] is a monomial.

61 is a required answer.

Answer:

[tex]\boxed{5²+6²=5*5+6*6=25+36=61}[/tex]

Answer:

The answer is "Option B".

Step-by-step explanation:

IQR for the first boxplot [tex]= Q_3 - Q_1 = 77-73 = 4[/tex]

IQR for the first boxplot [tex]= Q_3 - Q_1 = 63-59 = 4[/tex]

Calculating the median for the first boxplot [tex]= 76[/tex]

Calculating the median for the second boxplot [tex]= 60[/tex]

Calculating the difference:

[tex]\to 76-60 = 16[/tex]  

therefore, the difference between medians is about 4 times the IQR.

Answer:

B

Step-by-step explanation:

did the test

Answer:

D

Step-by-step explanation:

Since all the points were shifted the same way, I'll just use point A and point A'.

Point A starts at (3,5) and A' is at (5,2)

If the subract the x coordinates: 5-3=2

Then subtract the y coordinates: 2-5=-3

The 2 is positive, so it is 2 units to the right (the positive x direction) and -3 is negative so 3 units down (negative y direction)

Answer:

true

Step-by-step explanation:

Answer:

False. if it was perpendicular than the segments would be equal

Step-by-step explanation:

Answer:

-28

Step-by-step explanation:

-2-13=-15

-13-15=-28

Answer:

-28

Step-by-step explanation:

Answer:54 is the54 d

Step-by-step explanation:

no sorry

Answer:

Alternate Interior Angles

Step-by-step explanation:

Angles can be corresponding; alternate or same side; or interior or exterior. The angles 2 and 8 are on opposite sides of the transversal; this means that they must be alternate angles. Additionally, they are both within the parallel lines, so they are interior. Alternate interior angles are always congruent. Therefore, their measurements must be equal.

Answer:

They are alternate interior angles

Step-by-step explanation:

<2 and <8 are inside the parallel lines and on opposite sides of the transversal

They are alternate interior angles

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{|48 - 6| + |- 35 + 7|}[/tex]

[tex]\mathsf{|48 - 6| = \boxed{\bf 42}}[/tex]

[tex]\mathsf{= 42 +| -35 + 7|}[/tex]

[tex]\mathsf{|-35 + 7| = \boxed{\bf -28}}[/tex]

[tex]\mathsf{= 42 + |- 28|}[/tex]

[tex]\mathsf{= 42 + 28}[/tex]

[tex]\boxed{\mathsf{= \bf 70}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 70}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

Let the angles size = x

The complement of the angle is 90 - x

Two times the compliment is 2*(90 - x)

Three times the angle is 3x

25 less than 3 times the angle = 3x - 25

Now you have to equate the two bolded pieces of information.

3x - 25 = 2(90 - x)                 Remove the brackets

3x - 25 = 180 - 2x                 Add 25 to both sides

     25      25

3x = 205 - 2x                         Add 2x to both sides.

2x              2x

5x = 205                                Divide by 5

5x/5 = 205/5

x = 41

The compliment of x = 90 - 41 = 49

The angle itself = 41

Answer:

D. 501,120mm^3

Step-by-step explanation:

Volume of a rectangle:

length x width x height

So, plug in what you know:

80*104.4*60=

501,120mm^3

Answer:

30/5=6

Step-by-step explanation:

There’s 30 fish put into five bowls, and there’s six fish in each

Answer:

The answer is "158.489"

Step-by-step explanation:

for san francisco earthquake:

[tex]\log(\frac{a_1}{T}) + B = 7.8\\\\\log(\frac{a_1}{T})+\log(10^{B}) = 7.8\\\\\log(\frac{a_1}{T} \times 10^{B})=7.8\\\\(\frac{a_1}{T} \times 10^B=10^{7.8}...............(i)[/tex]

similarly , for coloumbia earthquake:

[tex]\frac{a_2}{T}\times 10^B = 10^{5.6}.................(ii)[/tex]

divide equation (i) and (ii):

[tex]\frac{a_1}{a_2}=\frac{10^{7.8}}{10^{5.6}}\\\\\frac{a_1}{a_2}=10^{2.2}\approx 158.489[/tex]

Answer:

400,000 bacteria

Step-by-step explanation:

If we start at 100,000 and double every three hours until 6 hours, to colony will be at 400,000 bacteria.

First find out how many times it will double by dividing 6/3=2. It will double twice in 6 hours. Next double 100,000 once, to get 200,000. Then, double it once more to get to the final answer of 400,000 bacteria.

Hope this helps!