I need help. ASAP!
Divide.


(3b^3 – 10b^2 + 4) ÷ (3b – 1)

Answer:

The radius of the cylinder is [tex]r=3\ ft[/tex]

Step-by-step explanation:

we know that

The volume of the cylinder is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]V=169.65\ ft^{3}[/tex]

[tex]h=2r\ ft[/tex]

assume

[tex]\pi=3.14[/tex]

substitute the values and solve for r

[tex]169.65=(3.14)r^{2} (2r)[/tex]

[tex]169.65=(6.28)r^{3}[/tex]

[tex]r^{3}=169.65/(6.28)[/tex]

[tex]r=3\ ft[/tex]

Answer:

Cone= [tex]\frac{1}{3} *pi*r^{2}*h[/tex]    Cylinder= [tex]pi*r^{2} * h[/tex]

Step-by-step explanation:

Cone volume= 1/3 × π × r²×h            Cylinder volume= π × r² × h

                        1/3 × π × 15²×7                                         π × 15² × 7

                        1/3 × π × 225×7                                       π × 225 × 7

                        525π                                                       1575π

Hey There!

To find how many seats are needed to be added, you need to subtract 15,340 by 13,451. You need to find the difference between the seats you need and the seats you have. So...

15,340-13,451= 1,889

You need to add 1,889 more seats.

Hope This helped!

Godspeed,

SongBird

Answer:

The required equation is 13451 + x = 15340,

1,889 seats are needed.

Step-by-step explanation:

Given,

Original number of seats = 13,451,

Also, the number of people who needed to be seated = 15,340,

Let x seats were added,

So, the new number of seats = 13451 + x

Thus, 15,340 will get the seat,

If total seats = 15340

⇒ 13451 + x = 15340

Which is the required equation,

Subtract 13451 on both sides,

We get,

x = 1889

Hence, 1889 seats are needed to accommodate all the people.

Answer:

The answer is D.The arrangement of words and phrases suggests a thought process that flits from thought to thought.

Step-by-step explanation:

The best description of the syntax in the given text indicates that the arrangement of words and phrases suggests a thought process that moves erratically from one thought to another, reflecting the text's stream-of-consciousness style and mixed sentence constructions.

The question involves analyzing an excerpt for the syntax used, which refers to the manner by which words are organized into sentences. Among the given choices, the best description that matches the details provided about the text would be D) The arrangement of words and phrases suggests a thought process that flits from thought to thought. This is supported by the description of the text which includes mixed sentence constructions, lack of consistency in grammatical paths, and an attempt by the author to meet or challenge conventional expectations in rhetorically effective ways. The text also mentions the replication of a child's growing awareness and a stream-of-consciousness style which implies a thought process that is not linear but more erratic and intuitive, which is characteristic of syntax that flits from thought to thought.

6 ft person casts 18 ft shadow

x ft tree casts 20 ft shadow

6*20 = 18x

120 =18x

x=120/18

×≈6.67

The height of the tree is 6.67 feet.

The term proportionality describes any relationship that is always in the same ratio.

Given that, a tree casts a 20-foot shadow at the same time the person who is 6 feet tall casts a shadow 18 ft, we need to find the height of the tree.

Here, using the concept of proportionality, since, the phenomena is happening at the same time, therefore, the ratio of the height and length if the shadow will be equal for all.

Let the height of the tree be x,

20 / x = 18 / 6

120 = 18x

x = 6.67

Hence, the height of the tree is 6.67 feet.

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Answer:

12.00, 37.70

Step-by-step explanation:

Area of a circle is:

A = πr²

We know A = 113.1 ft², so:

113.1 = πr²

r² = 36.00

r = 6.00

The diameter is double the radius, so:

d = 2r

d = 12.00

The diameter is 12 feet.

The circumference is:

C = 2πr

We found that r = 6 ft, so:

C = 2π (6)

C = 37.70

The circumference is 37.70 ft.

Answer:

sqrt(61)

Step-by-step explanation:

The distance between two points is found by the following formula

d = sqrt (( x2-x1)^2 + (y2-y1)^2 )

   = sqrt( (-1--6)^2 + (1-7)^2)

  = sqrt( (-1+6)^2 + (1-7)^2)

= sqrt( (5)^2 + (6)^2)

= sqrt( 25 + 36)

= sqrt(61)

Hey there! :)

Equation 1 : -5x + 3y = 2

Equation 2 : -5x - 5y = -30

Because both equations contain a like term (which in this case is 5x), we can easily subtract these equations from one another.

Subtract equation 1 from equation 2 :

-5x - (-5x) = 0

3y - (-5y) = 3y + 5y --> 8y

2 - (-30) = 2 + 30 --> 32

This leaves us with 8y = 32. Simplify this to get y by dividing both sides by 8.

8y ÷ 8 = 32 ÷ 8

Simplify.

y = 4

Now, plug in 4 for y in our first equation.

-5x + 3(4) = 2

Simplify.

-5x + 12 = 2

Subtract 12 from both sides.

-5x = 2 - 12

Simplify.

-5x = -10

Divide both sides by -5.

-5x ÷ -5 = -10 ÷ -5

Simplify.

x = 2

Therefore, our answer is :

(2, 4) where x = 2, y = 4

~Hope I helped!~

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

We know a straight angle is 180 degrees ( a straight line).

Looking at the figure, we can say that A + F + E = 180 (since it creates a straight line).

We know A = 45, E = 85, plugging these into the equation, we can solve for F:

A + F + E = 180

45 + F + 85 = 180

130 + F = 180

F = 180 - 130

F = 50

Answer choice C is right.

Answer:

None of the above

Step-by-step explanation:

2 r + ( t + r )

2 r + t + r

3 r + t

since this a 45 45 90 right triangle to get the side lengths you divide 2 times the square root of 2 and you get 2, since this has two congruent angles which makes it an Isosceles triangle. your a and b value are 2.

-6 because 96 divided by 16 is, 6. But since it's -16 it would be a negative, making the answer -6!

Answer:

this is my answer -6 or 16 whatever question you had

Step-by-step explanation:

Final answer:

The reference angle of -150 degrees is found by first determining the positive angle in standard position by adding 180 degrees, resulting in 330 degrees. Since 330 degrees is in the fourth quadrant, we subtract it from 360 degrees to get the reference angle, which is 30 degrees.

Explanation:

To find the reference angle of -150 degrees, we must determine the smallest angle between the terminal side of the given angle and the x-axis. A reference angle is always positive and measured between 0 to 90 degrees. Since -150 degrees is in the third quadrant when considering standard position in a coordinate system, where angles are measured counterclockwise from the positive x-axis, you add 180 degrees to determine its corresponding positive angle in the second quadrant. Therefore, the reference angle of -150 degrees is:

180° - (-150°) = 180° + 150° = 330°

Since 330 degrees is in the fourth quadrant, to find the reference angle, we subtract it from 360 degrees:

360° - 330° = 30°

Thus, the reference angle for -150 degrees is 30 degrees.

Answer:

The ratio between their surface areas = 49/9

Step-by-step explanation:

* Lets revise the similarity of to prism

- If two prisms are similar, then there is a ratio between their

 corresponding dimensions

- There is a ratio between their volumes and surface area

- The the ratio between their corresponding dimensions is a/b,

  then the ratio between their volumes is (a/b)³ and the ratio between

 their surface area is (a/b)²

* Lets solve the problem

∵ The two rectangular prisms are similar

∵ The ratio between their corresponding sides is 7/3

∴ The ratio between their surface areas = (7/3)² = 49/9

* Lets check our answer

∵ The surface area of the rectangular prism is :

  S.A = Perimeter of base × its height + 2 × area of its base

- Find the surface area of the large prism

∵ The base has dimensions 14 units and 21 units

∵ Its height = 7 units

∵ The base is a rectangle

∵ Perimeter the rectangle = 2L + 2W

∵ Area the rectangle = L × W

∴ S.A = (2×14 + 2×21) × 7 + 2(14 × 21) = 1078 unit²

- Find the surface area of the small prism

∵ The base has dimensions 6 units and 9 units

∵ Its height = 3 units

∴ S.A = (2×6 + 2×9) × 3 + 2(6 × 9) = 198 unit²

- Lets find the ratio between them

∴ The ratio between surface areas of them = 1078/198 = 49/9

- It is the same with the answer above so we are right

Answer:

C)The rays extend infinitely, and the angle is made by rays which have a common endpoint

Step-by-step explanation:

A ray is a line segment having one end point while extending in the other/opposite direction

An angle is made by two lines(rays) with common end point (vertex)

So when an angle is formed by the pair of intersecting rays the following options are ruled out  

A) rays cannot have two end points

B) As rays extends infinitely in one direction, so having number of points is wrong

D)angles do not have lines

the following is best explanation is C

The rays extend infinitely, and the angle is made by rays which have a common endpoint !

Answer:

I'm pretty sure that the answer is C. The rays extend infinitely, and the angle is made by rays which have a common endpoint! It seems like the most correct answer of them all!

Answer:

1. J=10

2. L<=7

3. h>32

4. O=15

5. q<=17

Step-by-step explanation:

J/10+4=5

subtract 4 from both sides

j/10=1

multiply 10 by both sides

j=10

-7L+5>=-49

subtract 5 from both sides

-7L>=-49

divide by -7 and change your symbol

L<=7

9+h/2>16

subtract 9 from both sides

h/2>16

multiply by 2 on both sides

h>32

O-5/2=5

multiply by 2 on each side

O-5=10

add 5 on each side

O=15

8q+2<=138

subtract 2 from both sides

8q<=136

divide by 8 on both sides

q<=17

Final answer:

The population of 15,000 blue trout is expected to increase to approximately 36,621 individuals after 5 years using the given growth function.

Explanation:

The question asks what happens to the population of 15,000 blue trout released into the Meherrin River after 5 years, given the function f(x) = 15,000(9/8)^x. To find out the population after 5 years, we substitute x = 5 into the function. The calculation proceeds as follows:

Therefore, after 5 years, the blue trout population is expected to increase to approximately 36,621 individuals, assuming ideal conditions without factors like predation or disease significantly impacting the population.

Using the surface area of a sphere, it is found that the total surface area that will be painted is of 769.69 cm².

The surface area of a sphere of radius r is given by:

[tex]S = 4\pi r^2[/tex]

In this problem, we have five spheres, with radius(half the diameter) r = 3.5 cm, hence the total surface area in square centimeters is given by:

[tex]S_t = 5 \times 4\pi \times 3.5^2 = 769.69[/tex]

The total surface area that will be painted is of 769.69 cm².

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Answer:

a) Ellipse

b) Sphere

c) Great circle

d) Triangle

e) Circle

Step-by-step explanation:

A) Diagonal cross section of cylinder

Ellipse

B) Shape created when a semi circle is rotated about y axis

Sphere

C) Diagonal cross section through the widest part of sphere

Great Circle

D) Perpendicular cross section of cone

Triangle

E) Cross section parallel to the base of cone

Circle.

Answer: 48

96/2 = 48 cm

Answer:

ab = 48 cm

Step-by-step explanation:

Supposing ABC is a right angled triangle where m∠B = 90°, ac = 96 cm and c = 30°, we are to find the length of the side ab in cm.

For this, we will use the trignometric ratios to find ab.

[tex] sin B = \frac { a b } { a c } [/tex]

[tex] sin 30 = \frac { a b } { 9 6 } [/tex]

[tex]\frac{1}{2} =\frac{ab}{96}[/tex]

[tex]96=2ab[/tex]

[tex]ab=\frac{96}{2}[/tex]

ab = 48 cm

There are 120 ways we can list 5 basketball players in order in a program.

Permutations are the selection in order from a given set of values. Here, the order is of importance.

There are five basketball players.

We are asked to find the number of ways in which they can be listed in order.

We can use permutations to find the answer.

We can find the number of ways in which the basketball players can be listed in order as follows:

Total number of ways = 5*4*3*2*1

= 20*3*2*1

= 60*2*1

= 120 ways.

The number of ways in which the basketball players can be listed in order is found. The basketball ball can be listed in 120 ways.

Therefore, we have found that there are 120 ways we can list 5 basketball players in order in a program.

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ANSWER

C [0,9]

EXPLANATION

The number of bottled water on the shelf is modeled by the function

[tex]4x + y = 36[/tex]

We make y the subject to obtain;

[tex]y = 36 - 4x[/tex]

When no water is sold, then x=0.

When all the bottles are sold, then

[tex]4x - 36 = 0[/tex]

[tex]4x = 36[/tex]

[tex]x = \frac{36}{4} = 9[/tex]

Therefore the store cannot sell more than 9 bottles.

The domain is [0,9]

Answer:

x= −6

Step-by-step explanation:

you are supposed to isolate the variable by dividing both sides by the factor that do not contain the variable

ANSWER

C 6

EXPLANATION

The given equation is

[tex] - \frac{1}{2} (3x - 4) = 11[/tex]

Multiply through by -2 to get:

[tex] - \frac{1}{2} \times - 2(3x - 4) = 11 \times - 2[/tex]

[tex]3x - 4 = - 22[/tex]

Add 4 to both sides of the equation:

[tex]3x = - 22 + 4[/tex]

[tex]3x = - 18[/tex]

Divide both sides by 3.

[tex]x= - \frac{18}{3} [/tex]

This simplifies to

[tex]x = - 6[/tex]

The correct answer is C

Answer:

Area = 40

Step-by-step explanation:

The area of a rhombus is

Area = a*b/2

Where a and b are the lengths of the diagonals.

Area = 8 * 10/2

Area = 40

Answer:

40

Step-by-step explanation:

In a rhombus the two diagonals intersect perpendicularly. So you can see a rhombus as the union of two triangles whose base is one of the diagonals of the rhombus and whose height is the half of the other diagonal.

Therfor you can calculate the area of the rhombus calculating the area of the two triangles that are the same.

In this case the area of each triangle must be  [tex]\frac{4\times 10}{2}= 20[/tex] (if you take the 10-lenght-side as the basis of the triangles).

Hence the area of the rhombus is 40 because is the double of the area of each triangle.

The histogram displays the distribution of fish counts in 10 tanks, ranging from 30 to 45 fish, with varying frequencies in each interval.

To create a histogram of the given data showing the number of fish in each tank, we'll first need to organize the data into intervals or bins and then count the frequency of fish counts falling within each interval. Here's how we can do it:

1. Determine the intervals or bins to represent the range of fish counts.

2. Count the frequency of fish counts falling within each interval.

3. Draw the histogram with the intervals on the x-axis and the frequency of fish counts on the y-axis.

Given the data: 30, 32, 41, 38, 42, 30, 35, 38, 40, 45

Let's choose intervals of width 5 starting from 25 to 50. Then, we count how many fish counts fall within each interval:

Interval 25-29: 0

Interval 30-34: 3 (30, 32, 30)

Interval 35-39: 3 (38, 35, 38)

Interval 40-44: 3 (41, 42, 40)

Interval 45-49: 1 (45)

Now, we can draw the histogram:

```

Frequency

   |     *

   |     *     *

   |     *  *  *  *

   |     *  *  *  *

   |_____________________

      25  30  35  40  45

```

Each asterisk (*) represents one tank with the corresponding number of fish. The x-axis represents the intervals, and the y-axis represents the frequency of fish counts.

This histogram visually represents the distribution of fish counts in the 10 fish tanks at the pet store.

Answer:

-20

Step-by-step explanation:

-2(3^2)+3-5

-2(9)+3-5

-18+3-5

-18-2

-20

Answer:

-20

Step-by-step explanation:

The guy before me said so

We have the function [tex]y = \frac{2}{3} x -3[/tex] and we want to find a function that has the same y-intercept than the previous function.

First, let's find the y-intercept by subtituting 0 for 'x'.

[tex]y = \frac{2}{3} (0) -3 = -3[/tex]

Now that we found that y-intercept =-3, any lineal function of the type: [tex]y = ax - 3[/tex] will have the same y-intercept. Where 'a' can take all the real values.

Also, any quadratic function of the type: [tex]y=ax^{2} + bx - 3[/tex] will have the same y-intercept. Where 'a' and 'b' can take all the real values.

Answer:

x = -4.5

Step-by-step explanation:

We shall be using the following property of logarithms;

[tex]lna+lnb=ln(a*b)[/tex]

Therefore, In -x + In 8 can be re-written as;

[tex]ln-x+ln8=ln(-8x)\\\\ln(-8x)=ln36\\\\-8x=36\\\\x=-4.5[/tex]