Describe how to divide using partial quotients

Answer:

[tex]\approx 2\ miles[/tex]

Step-by-step explanation:

Difference of 10 seconds between the lightning flash and its thunder clap.

Given that the speed of light is infinite.

So, lightning will be seen at the same time it happens.

10 seconds is the time taken by the sound to reach to the person.

Time taken = 10 seconds

Speed of sound = 1080 ft/sec

To find:

Distance from lightning flash in miles.

Solution:

First of all, let us a have a look at the formula:

[tex]Distance = Speed \times Time[/tex]

Putting the given values:

Distance = [tex]1080\times 10 = 108000\ feet[/tex]

5280 feet = 1 mile

1 feet = [tex]\frac{1}{5280}[/tex] miles

10800 feet = [tex]\frac{1}{5280}\times 10800 \approx 2\ miles[/tex]

Answer:

See below

Step-by-step explanation:

Q1. if a counting number is selected at random from a set of whole number less than or equal to 20 find the probability of getting:

Counting numbers are Natural numbers: [tex]\mathbb{N}[/tex]

Also, we have Whole numbers. Despite not having an official symbol, I usually denote the set as [tex]\mathbb{Z}_{\ge 0}[/tex]

Whole numbers less than or equal to 20: [tex]A\leq 20, A \subset \mathbb{Z}_{\ge 0} \\\implies A=\{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20\}[/tex]

A. Prime numbers

From the set A, the prime numbers are 2, 3, 5, 7, 11, 13, 17, 19.

Once we have 21 numbers in total and 8 prime numbers, the probability is:

[tex]$P=\frac{8}{21} \approx 40\%$[/tex]

B. Composite numbers

From the set A, the composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20.

Once we have 21 numbers in total and 11 composite numbers, the probability is:

[tex]$P=\frac{11}{21} \approx 52\%$[/tex]

C. Divisible by three

From the set A, the numbers divisible by three are 3, 6, 9, 12, 15, 18.

Once we have 21 numbers in total and 6 numbers divisible by three, the probability is:

[tex]$P=\frac{6}{21} \approx 30\%$[/tex]

D. Square of 2

From the set A, the numbers square of 2 are 0, 1, 4, 9, 16.

[tex]\sqrt{0} =0[/tex]

[tex]\sqrt{1} =1[/tex]

[tex]\sqrt{4} =2[/tex]

[tex]\sqrt{9} =3[/tex]

[tex]\sqrt{16} =4[/tex]

Once we have 21 numbers in total and 5 numbers square of 2 , the probability is:

[tex]$P=\frac{5}{21} \approx 24\%$[/tex]

Q2. The opposite angle of acyclic quadrilaterals is in the ratio of 2:3. Find the degree measure of each opposite angle?

Once they're opposite, they add up to 180º

[tex]2x+3x=180 \implies 5x=180 \implies x=36[/tex]

The first angle is 72º

The second angle is 108º

Q3. what is the solution set of  9x-4<13x-7 (domain, x e z) ?

[tex]x \in \mathbb{Z}\\[/tex]

[tex]$x>\frac{3}{4} $[/tex]

[tex]$x\in \left(\frac{3}{4},\infty \right)$[/tex]

Q4. if three fourth of a number is one tenths, what is the number?

[tex]$\frac{3}{4} x =\frac{1}{10} \implies 3x=\frac{4}{10} \implies \boxed{x = \frac{2}{15}} $[/tex]

Q5. which one is the equation of the line passing through the origin and having a slope 4?

[tex]y=mx+b[/tex]

[tex]m: \text{slope}[/tex]

[tex]b: \text{y-intercept}[/tex]

B. Y= 4x

Answer:

16

Step-by-step explanation:

Answer:

The answer 14

Step-by-step explanation:

A plane extends infinitely in two-dimension and it does not have a boundary

The error is in designating rectangles which are bounded planar shape as an whole plane

The reason for the error stated above is as follows:

Missing part of question: The drawing of the question that appear missing is attached

The definition of a plane in mathematics is an infinitely long and wide two-dimensional surface that has no thickness and which is defined by either;

The given figure is the diagram of two rectangles which are planar shapes enclosed by four straight line boundaries each of which are located in their respective planes that extends infinitely and are not entire planes by themselves

Therefore, the error is that a bounded planar figure is taken as being an infinite plane

Learn more about dots, lines, and planes here:

https://brainly.com/question/13180616

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Explanation:

r = amount of salad Reagan ate

v = amount of salad Olivia ate

"Olivia ate twice as much as Reagan", meaning

amount Olivia ate = 2*(amount Reagan ate)

v = 2*r

v = 2r

2r = v

Answer:

180

Step-by-step explanation:

Volume = base * height(depth)

V=1.2*1.35=1.62 m³

1 m³=1000 liter

1.62*1000=1620 liter

1620/9=180 ( 9 liter bucket)

Answer:

write down the equations for each, add them then do some manipulation to get the pencil and erasors on one side

Answer: - 8

Step-by-step explanation:

(2-(-3)*2+2*(-3)*3

10-18

= - 8

Inbox me on fb with same username for further assistance

Answer:

1/2

Step-by-step explanation:

from one point to another it goes up 1 and over two. so rise over run, 1 over 2

Answer:

1/2 or .5

Step-by-step explanation:

to find slope of a line, you can count the rise, or fall, of a line over its left and right direction. the line rises one and to the right 2 between each point, which makes the slope 1/2. we know the slope is positive because the line moves upwards.

Answer:

y = 156

Step-by-step explanation:

The equation for direct variation is

y = kx

65 = k*5

Divide each side by 5

65/5 = k

13 =k

The equation is y = 13x

Let x = 12

y = 13*12

y = 156

Answer:

[tex]Point(9,1)[/tex]

Step-by-step explanation:

Given

Point: (6,3)

Required

Translate 2 units down and 3 units left

Taking the translation 1 after other

When a function is translated down, only the y axis is affected;

2 units down implies that, 2 be subtracted from the y value.

The function becomes

[tex]Point: (6, 3 - 2)[/tex]

[tex]Point: (6, 1)[/tex]

3 units right implies that, 3 be added tothe x value.

The function becomes

[tex]Point(3+6,1)[/tex]

[tex]Point(9,1)[/tex]

Hence;

Option D answers the question

Answer:

The point P on line AB such that the ratio of AP to PB is 2:1 is P = (0, 3)

Step-by-step explanation:

The dimension of the graph can be taken as 1 box = 1 unit

Therefore;

The coordinates of the point A = (-2, -7)

The coordinates of the point B = (1, 8)

For the a point P that gives the ratio AP to PB = 2:1 is given as follows;

The fraction of AP to AB = 2/(2 + 1)×AB = 2/3 × AB

Which gives;

The coordinate of the point P = (-2 + 2/3×(1 - (-2)), -7 + 2/3×(8 - (-7)))

P = (0, 3)

Therefore;

The coordinates of P such that the ratio of AP to PB is 2:1 is P = (0, 3).

Answer:

$5,675

Step-by-step explanation:

you would just take 4% and 5% of 2500 which is 100 and 125 and multiply them both by 3 which is 300 and 375 and add them both to the 2500 which is 2800 and 2875 and since it asks for the sum you would add then to get a total of $5,675

Answer:

20[tex]x^{2}[/tex] + 109x -15

Step-by-step explanation:

12x * 5 = 60x

12x * 3x = 36x

12x * -2x= -24[tex]x^{2}[/tex]

-3 * 5 = -15

-3 * 3x = -9x

-3 * -2x = 6x

2x * 5 = 10x

2x * 3x =6x

2x * -2x= -4[tex]x^{2}[/tex]

60x + 36x -9x + 6x + 10x + 6x = 109x

24[tex]x^{2}[/tex] - 4

-15

Hope this helpss

Answer:

yep

Step-by-step explanation:

60 and 72/2

30 and 36/2

15 and 18/3

5 and 6

Answer:

got you i dont see a picture  so

Step-by-step expla nation:

18 and 12/6

30 and 36/2

15 and 18/3

80 and 8/8 thats just somehting simple

Answer:

9

Step-by-step explanation:

12-5=7 so...

2+7 = 9

y = 9

Answer:

SOLUTION: What is the measurement of the supplement if the measure of the angle is eleven times greater than its supplement? Question 654443: What is the measurement of the supplement if the measure of the angle is eleven times greater than its supplement? So the angle is 165 degrees and the supplement is 15 degrees.

Answer:

29090

Step-by-step explanation:

First of all, we will have to calculate the volumes of a soft ball and the volume of box.

Then we will divide the volume of box with volume of softball to find the number of balls that can be stored in the box.

Diameter of softball = 3.8 in

Radius of softball = 1.9 in = 0.158 ft

Volume of a sphere = [tex]\frac{4}{3}\pi r^3[/tex]

[tex]\Rightarrow \dfrac{4}{3}\pi (0.158)^3=0.0165\ ft^3[/tex]

Volume of cuboid box = Length [tex]\times[/tex] Width [tex]\times[/tex] Height = 6 [tex]\times[/tex] 10 [tex]\times[/tex] 8 = 480 [tex]ft^3[/tex]

Number of softballs that can fit inside the storage = [tex]\frac{480}{0.0165}[/tex] = 29090

Answer:

-10

Step-by-step explanation:

a - b = 7 - (-3) = 7 + 3 = 10

--> | a - b | = 10

--> - | a - b | = -10

Answer:

Oriental and American cockroach

Step-by-step explanation:

The question is not complete. The complete question is:

The length of the oriental, American and Australian cockroaches are 3.432 cm, 3.576 cm and 3.583 cm respectively. Scientist measured a Madeira cockroach and found it to be 3.438 centimeters long. Between which two cockroaches would the Madeira cockroach belong?

Answer: From the question, the Australian cockroach  is the longest cockroack with a length of 3.583 cm followed by the American cockroach of length 3.576 cm and lastly the Oriental cockroach of length 3.432 cm.

If the Madeira cockroach is to be placed, its length is greater than that of the Oriental cockroach but less than that of the American cockroach hence it would be placed between the Oriental and American cockroach. The lengths from lowest to highest is:

3.432 cm 3.438 cm 3.576 cm 3.583 cm

I hope this helps you...

Answer:

A: Linear

B: Linear

C: Linear

Step-by-step explanation:

So we have three functions:

[tex]f(x)=3x+1\\f(x)=x-6x+5\\f(x)=4x-x+1[/tex]

To determine the type of graph for each function, simplify each of them and then we can determine whether it's linear or quadratic.

1)

We have:

[tex]f(x)=3x+1[/tex]

This has a degree of 1. Quadratics have a degree of 2. In other words, quadratics have a x^2 term. There isn't one here, so this is a linear equation.

2)

We have:

[tex]f(x)=x-6x+5[/tex]

Simplify:

[tex]f(x)=-5x+5[/tex]

Again, this is of degree 1. There is no x^2 term. Thus, this is also a linear equation.

3)

We have:

[tex]f(x)=4x-x+1[/tex]

Simplify:

[tex]f(x)=3x+1[/tex]

This has a degree of 1. There is no x^2 term. Thus, this is also a linear equation.

Answer:

Step-by-step explanation:

a- f(x)=3x+1 it is linear equation

b: f(x)=x-6x+5

f(x)=-5x+5  linear equation

c: f(x)=4x-x+1

f(x)=3x+1  (linear equation)

(if there is no exponent then the graph is linear)

This question is Incomplete because it lacks the appropriate diagram for the square pyramid. Please kindly find attached the required diagram

Answer:

45 square inches

Step-by-step explanation:

From the question, we are told that the foil covers the body of the trophy including the bottom, hence the formula we would be applying =

Total Surface Area of the Square pyramid = 2bs + b²

Where s = Height of the square pyramid

b = Edge length of the square pyramid

From the attached diagram, we can see that:

s = 6 inches

b = 3 inches

Total Surface Area of the Square pyramid = 2bs + b²

= 2 × 3 × 6 + 3²

= 36 + 9

= 45 square inches.

Therefore, the amount of gold foil it took to cover the trophy, including the bottom is 45 square inches

Answer:

Total amount she need = $44,444

Step-by-step explanation:

Given:

Amount Michelle needs = $42,000

Real state commission = 5.5%

Find:

Total amount she need

Computation:

Assume,

Total amount she need = x

So,

Real state commission = 0.055x

So,

x - 0.055x = 42000

x (0.945) = 42,000

x = 44,444 (Approx)

Total amount she need = $44,444

Answer:

A.

Step-by-step explanation:

Answer:

y-axis and x-axis

Step-by-step explanation:

Answer:

D: 54, 162, 486

Step-by-step explanation:

2, 6, 18 are all mulitplyed by 3 thus D: 54, 162, 486