Please answer that asap

Please Answer That Asap

Answers

Answer 1

The value of gravitational force between two masses is,

⇒ Gravitational force (F) = 3

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Two masses are,

m₁ = 6

m₂ = 8

d = 4

Now, We know that;

Gravitational force (F) = m₁ m₂ / d²

Substitute all the values we get;

Gravitational force (F) = m₁ m₂ / d²

Gravitational force (F) = 6 × 8 / 4²

Gravitational force (F) = 48/16

Gravitational force (F) = 3

Thus, The value of gravitational force between two masses is,

⇒ Gravitational force (F) = 3

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Related Questions

I dont seem to understand this problem can anyone help?

Answers

The time it will take to do all the activities at the same time is given as follows:

60 minutes = one hour.

How to obtain the period?

Considering periodic events, they will repeat on the same day for the least common factor of the periods of each event.

The periods of each event are given as follows:

Scones: 15 minutes.Muffins: 12 minutes.Cookies: 10 minutes.


The least common factor is obtaining factoring these numbers according to their prime factors, as follows:

15 - 12 - 10|2

15 - 6 - 5|2

15 - 3 - 5|3

5 - 1 - 5|5

1 - 1 - 1

Hence:

lcm(15,12,10) = 2² x 3 x 5 = 60 minutes.

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What is the formula for AFC?

Answers

The formula for Average Fixed Cost (AFC) is: AFC = FC / Q. Where FC represents the total fixed costs incurred by a firm and Q represents the quantity of output produced by the firm.

AFC is a per-unit measure of the fixed cost of production, and represents the amount of fixed cost that is attributed to each unit of output. As the quantity of output increases, the AFC decreases, since the fixed costs are spread out over a larger number of units. AFC is an important concept in economics and business, as it is used to calculate other cost measures such as average total cost and average variable cost.

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el... The vertices of parallelogram HIJK are H(0, -1), I(2, 3), J(7, -1), K(5, -5). Determine if HIJK is a parallelogram.​

Answers

The correct option is, No, because HI and JK do NOT have the same slope and  HK and IJ have the same slope

What are the properties of parallelogram ?

Opposite sides are parallel: The pairs of opposite sides of a parallelogram are always parallel to each other.

Opposite sides are equal in length: The pairs of opposite sides of a parallelogram are equal in length.

Consecutive angles are supplementary: The consecutive angles of a parallelogram are always supplementary, meaning that they add up to 180 degrees.

Diagonals bisect each other: The diagonals of a parallelogram bisect each other, meaning that they intersect at the midpoint of each other.

The sum of the interior angles is 360 degrees: The sum of the interior angles of a parallelogram is 360 degrees.

No, because HI and JK do NOT have the same slope and HK and IJ have the same slope.

In order for a quadrilateral to be a parallelogram, opposite sides must be parallel, which means they have the same slope.

In this case, HI and JK do not have the same slope, and therefore, the opposite sides are not parallel.

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The complete question:

The vertices of parallelogram HUJK are H(0,-1),(2,3), J(7, -1),K(5,-5). Determine if HIJK is a parallelogram.

No, because HI and JK do NOT have the same slope and  HK and IJ have the same slope

Yes, because HI and JK have the same slope and HK and IJ have the same slope

Yes, because the image is tilted

No, because HK and JI have the same slope, but HI and JK do NOT have the same slope

I withdraw £80 from my savings account to go shopping.

• I spend 40% of my money in the bookshop.

• I then spend one third of the money I have left at the supermarket.
• Finally, I spend £8 on stationery.

What fraction of the £80 do I have left?

Give your answer in its simplest form.

Answers

The fraction of the £80 that you have left is 3/10.

The Fraction

Let's start by calculating how much money you spent at the bookshop.

40% of £80 = 0.4 x £80 = £32

So you spent £32 at the bookshop, and you now have:

£80 - £32 = £48

Next, you spent one third of the money you had left at the supermarket.

One third of £48 = £16

So you spent £16 at the supermarket, and you now have:

£48 - £16 = £32

Finally, you spent £8 on stationery, so you now have:

£32 - £8 = £24

Therefore, you have £24 left out of the original £80. To find the fraction of the £80 that you have left, we can express this as a fraction:

£24 is the same as 24/80 when expressed as a fraction.

This fraction can be simplified by dividing both the numerator and denominator by 8:

24/80 = 3/10

So the fraction of the £80 that you have left is 3/10. This is the simplest form.

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Solve the system of equations below. Show work.

2x+y=102x+y=10

3x-y=53x−y=5

Answers

The system of equations has its solution to be (3, 4)

Hwo to solve the system of equations

From the question, we have the following parameters that can be used in our computation:

2x + y = 10

3x - y = 5

Add the equations

So, we have

5x = 15

Divide by 5

x = 3

Recall that

2x + y = 10

So, we have

6 + y = 10

Evaluate

y = 4

Hence, the solution is (3, 4)

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What is 11 in Binary?

Answers

The binary representation of 11 is 1011. To convert decimal to binary, divide the decimal number by 2, taking the remainder at each step and concatenating the remainders in reverse order.

To convert decimal (base 10) to binary (base 2), you can divide the decimal number by 2, repeatedly taking the remainder at each step. The binary representation is obtained by concatenating the remainders in reverse order.

Here's how the conversion works for 11:

11 divided by 2 gives a quotient of 5 and a remainder of 1.

5 divided by 2 gives a quotient of 2 and a remainder of 1.

2 divided by 2 gives a quotient of 1 and a remainder of 0.

1 divided by 2 gives a quotient of 0 and a remainder of 1.

Reading the remainders in reverse order (from the last division to the first), we get 1011, which is the binary representation of 11.

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0600 Mountain Daylight Time is ____ Zulu/UTC/GMT.

Answers

0600 Mountain Daylight Time is equivalent to 1200 Zulu/UTC/GMT.  

Mountain Daylight Time (MDT) is a time zone that is observed in several regions of North America during the summer months when Daylight Saving Time is in effect. It is 6 hours behind Coordinated Universal Time (UTC-6) during Daylight Saving Time.

Coordinated Universal Time (UTC) is the primary time standard by which the world regulates clocks and time. It is used in many scientific, technical, and military fields, as well as in international air traffic control.

Zulu time is a term used in aviation and military operations to refer to Coordinated Universal Time (UTC). The term "Zulu" is used because it is the letter "Z" in the NATO phonetic alphabet, and it is used to avoid confusion with other time zones during radio communication.

To convert 0600 Mountain Daylight Time to Zulu/UTC/GMT, you need to account for the time difference between Mountain Daylight Time (MDT) and Zulu/UTC/GMT.

During daylight saving time, Mountain Daylight Time is 6 hours behind Coordinated Universal Time (UTC-6). So, to convert 0600 MDT to UTC/GMT, you would need to add 6 hours.

Therefore, 0600 Mountain Daylight Time is equivalent to 1200 Zulu/UTC/GMT.

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if f is differentiable at a must f be continuous at aa. No. If f is differetiable at a, then f is not continuous at a. The contrapositive of this statement therefore states, if f is continuous at a, then f is not differentiable at a.b. Yes. If f is differentiable at a, then f is continuous at a. the contrapositive of this statement therefore states, if f is continuous at a, then f is differentiable at a.c. No. If f is continuous at a, it is not necessarily true that the limit that defines f' exists at a.d. Yes. if f continuous at a, it is necessarily true that the limit that defines f' exists at a.

Answers

The statement "If f is differentiable at a, then f is continuous at a" is true, but "If f is continuous at a, then f is differentiable at a" is false.

Differentiability and continuity are two important concepts in calculus. A function is said to be continuous at a point if the values of the function approach a finite limit as the independent variable approaches the same value. In other words, there are no sudden jumps or breaks in the function at that point.

On the other hand, a function is said to be differentiable at a point if the limit of the rate of change of the function exists as the independent variable approaches the same value. This rate of change is called the derivative of the function and it is used to determine the slope of the function at that point.

So, it is true that if a function is differentiable at a point, then it is also continuous at that point. In other words, a continuous function must be differentiable. However, the reverse is not necessarily true. A function can reach a point where it is continuous but not differentiable. For example, the absolute value function is continuous everywhere but it is not differentiable at x = 0.

Therefore, we can say that if f is differentiable at a, then f is continuous at a. But if f is continuous at a, it does not imply that f is differentiable at a.

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Please answer this asap

Answers

Answer: F = 4

Step-by-step explanation:

Juts plug in the numbers that you know so you should have   (5*20)/(5^2)

That is equal to 100/25 which is the same as 4. Therefore, F = 4

f(x)=(x+5)3(x-9)(x-1) Determine the number of x-intercepts

Answers

Answer: The function has three x-intercepts.

Step-by-step explanation:

To find the x-intercepts of a function, we need to find the values of x for which the function equals zero.

So, to find the x-intercepts of the function:

F(x) = (x+5)^3(x-9)(x-1)

We need to solve the equation:

F(x) = 0

We can see that the function will be equal to zero when any of the factors on the right-hand side is equal to zero. Therefore, we need to solve the following four equations:

(x+5) = 0, which gives x = -5

(x-9) = 0, which gives x = 9

(x-1) = 0, which gives x = 1

(x+5)^3 = 0, which gives x = -5

The last equation, (x+5)^3 = 0, has a triple root at x = -5, since the factor (x+5) appears three times. Therefore, there are a total of three x-intercepts for the function:

x = -5 (with multiplicity 3), x = 1, and x = 9.

What is the value of c?

Answers

Answer:

26.6°

Step-by-step explanation:

What is an angle?

An angle is a measure of a turn, measured in degrees or °. Angles are made up of two rays, making the sides of the angle.

What types of angles are there?

There are right angles (exactly 90 degrees), acute angles (less than 90 degrees), obtuse angles (more than 90 degrees), and reflex angles (more than 180 degrees).

If we know that the angle shown is a right angle, we also know that a right angle is equal to 90°. To solve for the value of c, we can use this equation:

90 - 63.4 = 26.6

Therefore, the value of c is 26.6°.

The new price of a 450painting with a 45% markup is 470.25 true or false

Answers

Answer:

This is false.

Step-by-step explanation:

The correct answer would be 652.5

I understand this concept a little I just dont know how to do it with 3 different sections

Answers

Answer:

31) -$1.25

32) $0.50

Step-by-step explanation:

Problem 31

[tex]E(X)=\frac{1}{4}(-5)+\frac{1}{4}(-20)+\frac{1}{2}(10)=-\frac{5}{4}-5+5=-\frac{5}{4}=-1.25[/tex]

Hence, this person would expect to gain -$1.25 (or lose $1.25) if they play this game.

Problem 32

[tex]E(X)=\frac{1}{4}(2)+\frac{1}{4}(20)+\frac{1}{2}(-10)=\frac{1}{2}+5-5=\frac{1}{2}=0.50[/tex]

Hence, this person would expect to gain $0.50 if they play this game.

Answer:

31. -$1.25

32. $0.50

Step-by-step explanation:

The expected value is the sum of the product of each probability and its corresponding winnings or loss.

31.

p(win $10) = 1/2

amount of winnings = $10

p(loose $5) = 1/4

amount of loss = $5

p(loose $20) = 1/4

amount of loss = $20

expected value = (1/2)($10) + (1/4)(-$5) + (1/4)(-$20)

expected value = -$1.25

32.

p(win $2) = 1/4

amount of winnings = $2

p(win $20) = 1/4

amount of winnings = $20

p(loose $10) = 1/2

amount of loss = $10

expected value = (1/4)($2) + (1/4)($20) + (1/2)(-$10)

expected value = $0.50

Function A and Function B are linear functions.
Function A
x y
–4 –21
–2 -11
4 19
Function B
y=x+1
which statement is true?
The slope of function a is greater than the slope of function b
the slope of function a is less than the slope of function b

Answers

The statement that is true is: The slope of function A is greater than the slope of function B.

What is the Slope of a Function?

The slope of a function is a measure of how steeply the function increases or decreases as the input value (x) changes. It is defined as the rate of change of the output value (y) with respect to the input value (x).

Using two points form the table of Function A, (-2, -11) and (4, 19):

Slope (m) = change in y / change in x = (-11 - 19) / (-2 - 4)

= -5

Given Function B as y = x + 1, the slope is m = 1.

Therefore, we can state that, function A has a greater slope than B.

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The height of a box is 3 inches. The length is three inches more than the width. Find the width if the volume is 264.

Answers

The width of the rectangular box is W = 8 inches

What is the Volume of a Rectangle?

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

Let the volume of the rectangular box be V = 264 inches³

Let the height of the rectangular box be H = 3 inches

Let the length of the rectangular box be L

Let the width of the rectangular box be W

Now , L = 3 + W

And , Volume of Rectangle = Length x Width x Height

Substituting the values in the equation , we get

264 = 3 x ( W ) x ( 3 + W )

On simplifying the equation , we get

Divide by 3 on both sides of the equation , we get

3W + W² = 88

Subtracting 88 on both sides of the equation , we get

W² + 3W - 88 = 0   be equation (1)

On factorizing the equation , we get

W² + 11W - 8W - 88 = 0

Taking the common factors of the equation , we get

W ( W + 11 ) - 8 ( W + 11 ) = 0

On further simplification , we get

( W - 8 ) ( W + 11 ) = 0

The width cannot be negative , so

( W - 8 ) = 0

Adding 8 on both sides , we get

W = 8 inches

Hence , the width of the rectangular box is 8 inches

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Need ASAP. Questions are in the pictures attached! ty

Answers

The required rate of change of f(x) from x = -6 to x = 3 is f'(x) = 7.

What is the rate of change?

Rate of change is defined as the change in value with rest to another value is called rate of change.

Here,
Given that,
f(x) = x² + 4x -15

Now, put x = -3
f(-3) = 9 - 12 - 15
f(-3) = -18

Now put x = 6
f(6)= 36 + 24 - 15
f(6) = 45

Since we know that, the rate of change of function is given as,
f'(x) = f'(a) - f'(b) / a -b

f'(x) =f'(6) - f'(-3) / a - b

f'(x) = 45 - (-18) / 6 -(-3)
f'(x) = 63 / 9
f'(x) = 7

Thus, the required rate of change of f(x) from x = -6 to x = 3 is f'(x) = 7.

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The hypotenuse of a right triangle measures 13 cm and one of its legs measures 1
cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

The length of other leg is 12.96 cm.

What is Pythagoras theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.

Given:

H= 13 cm

P = 1 cm

Using Pythagorean theorem

H² = P² + B²

13² = 1² + B²

169 = 1 + B²

168 = B²

B= √168

B = 12.96 cm

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What is 20% of 350000?

Answers

Answer:

Step-by-step explanation:70000

17/22 as a decimal rounded to the nearest hundreth

Answers

The decimal equivalent of 17/22 rounded to the nearest hundredth is 0.77. The result of dividing the quantifier by the denominator is 0.7727272727272727.

The decimal equivalent of the fraction 17/22 can be found by dividing the numerator by the denominator. To round the decimal to the nearest hundredth, we look at the third decimal place and round up or down accordingly. Step-by-step explanation:

Divide the numerator by the denominator ⇒ 17/22 = 0.7727272727272727Look at the third decimal place ⇒ 2Since the third decimal place is less than 5, we round down to the nearest hundredth ⇒ 0.77

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Which of the following is true?
√2 is a rational number.
-√16 is an irrational number.
0 is neither a rational number nor an irrational number.
O 1.3 is a rational number but not an integer.

Answers

Answer:it is C or A

if I'm Wrong Sorry And Have a Nice Day .

HELLO CAN U HELP ME PLEASE??

Answers

Answer:

B

Step-by-step explanation:

The rate at which she travels is called the rate of speed.

rate of speed = distance / time

r = d/t

She wants to know the time, so we solve the above equation for time.

r = d/t

rt = d

t = d/r

t = 300/r

300/r = t

Answer: B

Answer:

B. t = 300/r

Step-by-step explanation:

translate the question into math

usually

speed is shown as

kilometers per hour

RATE MEANS SPEED

translate kilometers per hour

kilometers = 300 km

per= /

hour = t

speed = 300 km/t

SPEED MEANS RATE

rate = r

r = 300 km/t or 300/t

r = 300/t

t = 300/r

note: rate or speed can be gotten by

SLOPE of line in a graph  

HYPOTENUSE of a triangle from a slope of a line in a graph

DERIVATIVE which is a slope of curve in a graph

Which step is incorrect?

Answers

Answer:Step 2

Step-by-step explanation: Bc Im right

choose similar polygons have areas of 128 in2 and 98 in 2. if the smaller polygon has a perimeter of 42 inches what is the perimeter of the larger polygon 

Answers

Let the smaller polygon have side lengths a and the larger polygon have side lengths b. Since the polygons are similar, the ratio of corresponding side lengths is the same as the ratio of their areas. That is:

b^2 / a^2 = 128 / 98

Simplifying this expression, we get:

b / a = √(128 / 98) = √(64 / 49) = (8 / 7)

Now we can use the fact that the perimeter of the smaller polygon is 42 inches:

4a = 42

a = 10.5

Substituting this into the ratio we found above, we get:

b = (8 / 7) * a = (8 / 7) * 10.5 = 12

Therefore, the larger polygon has a perimeter of:

4b = 4 * 12 = 48 inches.

What is the length of the missing side of the quadrilateral shown if the perimeter is 5x+3 and 8x-4 and 10x+7

Answers

The length of the missing side of the quadrilateral shown if the perimeter is 5x+3 and sides are 8x-4 and 10x+7 and 3x+6 is -16x+12.

What is Perimeter?

This is defined as the total distance around the shape.

The perimeter is the sum of the 4 sides.

Adding , 8x-4 and 10x+7 and 3x+6 , we have:

8x-4 + 10x+7 + 3x+6  = 21x+9

Subtract that from the given perimeter to get the missing side length which is:

5x+3 - 21x+9 = -16x+12

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ΔLMN ≅ ΔRST, ∠L = 49º, ∠M = 10x, ∠S = 70º, and ∠T = 4y + 9.

Answers

The value of x and y in the given congruent triangles, are 7 and 13

What are congruent triangles?

The triangles which share congruent corresponding angles and sides are called congruent triangles.

Given that, Δ LMN ≅ Δ RST, ∠L = 49º, ∠M = 10x, ∠S = 70º, and ∠T = 4y + 9, we need to find the x and d,

Since, we know that, the congruent triangles have congruent corresponding angles.

Here, the congruent triangles are :

∠ L = ∠ R

∠ M = ∠ S

∠ N = ∠ T

We know that, the sum of angles of a triangle is 180°,

∠ R + ∠ S + ∠ T = 180°

∠ R + 70º + 4y + 9 = 180°

49º + 70º + 4y + 9 = 180°

128º + 4y = 180º

4y = 52º

y = 13º

∠ M = ∠ S

10x = 70º

x = 7

Hence, the value of x and y in the given congruent triangles, are 7 and 13

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30 points to whoever can help!!

Answers

Answer:

200

Step-by-step explanation:

9% of 200 =

200 x 0.9 =

18

Ms. Kelley is hiring teachers for the science department at a new high school. There are 9 biology teachers and 5 chemistry teachers to choose from. How many different ways can Ms. Kelley hire a staff that includes one teacher in each subject?

Answers

The total number of ways is 45.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Ms. Kelley needs to hire one biology teacher and one chemistry teacher for the science department.

The number of ways to choose one biology teacher from a pool of 9

is 9.

The number of ways to choose one chemistry teacher from a pool of 5

is 5.

Now,

According to the multiplication principle of counting.

The total number of ways to hire one teacher from each subject.

= The number of ways to choose one biology teacher x The number of ways to choose one chemistry teacher.

= 9 x 5

= 45

Therefore,

The total number of ways Ms. Kelley can hire a staff that includes one teacher in each subject is 45.

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according to the empirical rule, what percentage of the observations in a data set that can be reasonably approximated by a normal curve lie within two standard deviations of the mean?

Answers

According to the empirical rule, the observations in a data set that can be reasonably approximated by a normal curve lie within two standard deviations of the mean is 95% .

The empirical rule, also known as the 68-95-99.7 rule or the three-sigma rule, is a statistical guideline that describes the approximate distribution of data that can be reasonably approximated by a normal curve. The rule states that:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

In other words, if a set of data is normally distributed (meaning it follows a bell-shaped curve), we can use the empirical rule to estimate the proportion of the data that falls within a certain range of values.

For example, let's say we have a data set that has a mean of 50 and a standard deviation of 10. Using the empirical rule, we can estimate that approximately:

68% of the data falls between 40 and 60 (one standard deviation from the mean)

95% of the data falls between 30 and 70 (two standard deviations from the mean)

99.7% of the data falls between 20 and 80 (three standard deviations from the mean)

It's important to note that the empirical rule is only an approximation, and it only applies to data that is approximately normally distributed. In some cases, the actual distribution

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what is 148lb to kg ?

Answers

Using the conversion formula of converting pounds to kilograms, we get that 148 lb is 67.131478 kilograms

To convert 148 pounds (lb) to kilograms (kg), we need to use the conversion factor 1 lb = 0.45359237 kg.

So, we can multiply 148 lb by 0.45359237 kg/lb to get the equivalent weight in kilograms:

148 lb x 0.45359237 kg/lb = 67.131478 kg

Therefore, 148 lb is equal to 67.131478 kg.

To understand the conversion factor, we need to know that pounds and kilograms are both units of mass, but they are used in different parts of the world. In the United States and some other countries, pounds are the common unit of mass, while in most other countries, kilograms are used. The conversion factor relates the number of pounds to the number of kilograms, so that we can easily convert from one unit to the other. It is important to use the correct conversion factor to ensure accurate conversions.

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What is 15/16 as a decimal?

Answers

The decimal form of 15/16 is 0.9375.

To convert a fraction to a decimal, you can divide the numerator by the denominator. In this case, 15 divided by 16 equals 0.9375.

Alternatively, you can also use long division to find the decimal form of a fraction.

1. Set up the long division problem with 15 as the dividend and 16 as the divisor.
2. Since 16 does not go into 15, add a decimal point and a zero to the dividend.
3. Divide 16 into 150, which equals 9 with a remainder of 6.
4. Add another zero to the dividend and divide 16 into 60, which equals 3 with a remainder of 12.
5. Add another zero to the dividend and divide 16 into 120, which equals 7 with a remainder of 8.
6. Add another zero to the dividend and divide 16 into 80, which equals 5 with no remainder.
7. The final answer is 0.9375.

So, 15/16 as a decimal is 0.9375.

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Is a bruise formed by the collection of blood at the puncture site when some of the blood escapes the vein and enters the surrounding tissue. Synthesis of a defective protein may result from analteration in(1) vacuole shape(2) the number of mitochondria(3) a base sequence code(4) cellular fat concentration What is the ICD-code for hyperthyroidism? What did the Louisiana Purchase make America focus on economically? A primitive barcode system is used to identify products sold in a small trinkets store. The system used is a 3 x 3 grid where each cell in the grid is either BLACK or WHITE. If each product must be identified by a unique barcode, how many products can the store accommodate with this barcode system? Give the exact numerical answer A hot-air balloon has a 14-foot diameter that is being deflated at a rate of 0.25 feet per minute.How many minutes, x, will it take before the balloon has shrunk to a diameter of 8 feet? 12. True or False: Independent Regulatory Agencies have greater leeway in policymaking/carrying out law than departments and agencies. Circle one - correct below if false. what is medical term for fainting ? Mention of the brave new world quotes What is the value of 1 gallon in litre? 100 g of O2 how many liters of CO2 a nurse is teaching the parent of a preschool-aged child about the treatment for pinworms. which of the following statements by the parent indicates an understanding of the teaching? find the value of 16/4 Plants use the relative abundance of Pr/Pfr to help track the day length. Which of the following statements is correct?A) High levels of Pfr trigger development of flower primordia in short day plants by promoting transcription of the gene CO.B) High levels of Pr directly inhibit the transcription of gene CO in long day plantsC) High levels Pfr triggers development of flower primordia in long day plants by promoting transcription of the gene CO.D) When Pr levels are high relative to Pfr levels, plants have been exposed to a long duration of daylight. One couple and four individuals have been invited to a dinner party where dinner will be served promptly at 8pm. The chance any individual arrives late to the party is 10%. The chance the couple arrives late is 30% (the couple will arrive together) Let X = the number of guests arriving late Note: suppose I wanted to find the probability that 3 people arrive late to the party. This can happen in two ways (a) any combination of 3 individuals arive late (all others on time) (b) any 1 individual and the couple arrive late (all others on time) or We consider in the following table all ways that (a) any combination of 3 individuals are late, the couple is on-time, and the remaining individual is on-time If 3.5 moles of Zn are used, how many moles of HCl are required? A concrete beam may fail either by shear (S) or flexure (F). Suppose that three failed beams are randomly selected and the type of failure is determined for each one. Let X = the number of beams among the three selected that failed by shear. List each outcome in the sample space for the original random experiment of selecting three failed beams and denoting the type of failure along with each outcome's associated value of x. The narrator states, "Meg didn't believe Charles Wallace meant to be rude... itwas his way of whistling in the dark." Reread the passage, then explain what thecolloquialism means from the context. True or False: after being served with a summons and a copy of the complaint, a defendant usually files a pleading known as an answer, briefly replying to each allegation in the complaint. The visible part of the electromagnetic spectrum can be divided into seven color bands of Red, Orange, Yellow, Green, Blue, Indigo, and Violet (from long to short wavelength). A single photon of which of these colors has the greatest amount of energy?*e. Violet mnemonic: "ROY" G "BIV"