What are the coordinates of the point 1/6 of the way from a to b?

Answer:

V,cube = sidelength^3

V,cube = (1 cm)^3

V,cube = 1 cm^3

Since there are 20 ice cubes, V = 20 cm^3

V,cylinder = pi * r^2 * h

V,cylinder = 3.14 * 3.5^2 * 9

V,cylinder = 346.185 cm^3

This is the volume of mug when full.

Since 20 cm^3 is allotted for the ice cube, thus,

346.185 - 20 = 326.185 cm^3

Yes it's B.

Hope this helps~ `u`

Step-by-step explanation:

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Answer:

95.5

Step-by-step explanation:

Simplifying the expression means combining like terms.

In this case, just add 92 and 3.5

A more complex example for your understanding, as you definitely know addition.

\(2x^2+5x^2+3x+4x+1+3\)

Simplifying the expression would equate to the following (add like terms)

\(7x^2+7x+4\)

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The correct answer is B. y = e4x is a solution of y' = -(1/4)y2 that is not a member of the family in part (b).

An equation is a mathematical statement that contains an equal sign. A solution is a value or set of values that make the equation true. A member refers to a specific solution within a family of solutions.

In this question, we are given a differential equation y' = -(1/4)y and asked to find a solution that is not a member of a given family of solutions. The family of solutions is not provided in the question, but it is implied that it is a set of solutions that have the form y = Ce^(-x/4), where C is a constant.

To find a solution that is not a member of this family, we need to find a different function that satisfies the differential equation y' = -(1/4)y. Option B, y = e4x, is such a function. We can verify that it is a solution by taking its derivative and plugging it into the differential equation:

y = e4x
y' = 4e4x

y' = -(1/4)y
4e4x = -(1/4)e4x

This equation is true, so y = e4x is indeed a solution of y' = -(1/4)y that is not a member of the given family.

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Answer: 8 dollars and 10 cents

Step-by-step explanation:

5.40 divided by 12 = .45

This means that each juice costs 45 cents

.45x18=8.10

Answer:

$8.10

Step-by-step explanation:

$5.40/12=$0.45 $0.45*18=$8.10

The equation representing the cost of a bag is 2x + 18 = $68 and for each bag Britney has to pay $25.

Let us consider  'x' be the total cost representing amount of money to check each bag under the weight limit.

Additional amount to pay per bag for over weight limit is equal to $9

Total amount paid by Britney to check both the bags = $68

Equation represents the cost of bags is equal to :

2x + 2(9) = $68

⇒ 2x + 18 = $68

⇒ 2x = $68 - $ 18

⇒ 2x = $50

⇒ x = $50 / 2

⇒ x = $25

Therefore, the equation which represents the cost of a bag is 2x + 18 = $68 and cost for each bag is $25.

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In the algebraic expression 2s + 2.79, the variable 's' represents the number of sandwiches Andrew bought. The 's' has a factor of 2, meaning the price of the sandwich is $2. The constant term 2.79 represents the cost of large drinks independent of the number of sandwiches.

Breaking down the expression further, we get:

- The term 2s represents the cost of a sandwich, the factor 2 represents the cost per sandwich, and the variable 's' represents the number of sandwiches.

- The term 2.79 represents the cost of a large drink and is a constant value. Overall, the formula 2s + 2.79 represents the total cost of Andrew's lunch, which consists of the cost of the sandwich (2s) and the cost of the large drink (2.79). 

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Answer:

D

Step-by-step explanation:

The given angles are vertically opposite and congruent , then

7x + 13 = 48 ( subtract 13 from both sides )

7x = 35 ( divide both sides by 7 )

x = 5 → D

when multiplying fractions , multiply across the numerator and denominator

you dont need common denominators

example

\(\frac{1}{2}*\frac{4}{5}=\frac{1*4}{2*5}\)

Hope this helps : -)

- Jeron

Answer:

A rectangle doesn't has a diameter

________________________________

But if you are asking about perimeter.

Step-by-step explanation:

Perimeter = 2(l + b)

l = 9cm

b = 5cm

Perimeter = 2(l + b)

= 2(9 + 5)

= 18 + 10

= 28cm

Answer:

a. 0%

Step-by-step explanation:

The sun always rises in the east.

So the probability of it rising in the west is 0%, which means that the correct answer is a.

Answer:

first we will check if the coordinate (5,4) is a solution:

you fill in only the X-coordinate (or the y-coordinate). I fill in 5 for X:

y-4 = 7(5-6)

now we have to work this out like:

y-4 = 7 • -1

y -4 = -7

y = -3 if the coordinate was the solution for the y-coordinate the answer should be 4 but it isn't so coordinate (5,4) isn't a solution.

the same goes for coordinate (6,5):

y-4 = 7 (6-6)

y-4 = 0

y = 4 if the coordinate was the solution for the y-coordinate the answer should be 5 but it isn't so coordinate (6,5) isn't a solution.

so the answer is neither

Answer:

Neither

Step-by-step explanation:

Simplify the given equation.

y - 4 = 7(x - 6)

y - 4 = 7x - 42

y = 7x - 38

Now, take the point (5, 4) and test to see if this is a solution.

y = 7x - 38

4 = 7(5) - 38

4 = 35 - 38

4 ≠ -3

Since that point did not prove to be true, answer choices A and C are cancelled out.  Take point (6, 5) and test it.

y = 7x - 38

5 = 7(6) - 38

5 = 42 - 38

5 ≠ 4

Neither points provide a solution so D is the answer.

Answer:

Bc = √63 ft

Step-by-step explanation:

Here, we want to get the length of BC

As we can see, there is a right angled triangle ABC, with 12ft being the hypotenuse and 9 ft the other side

So we want to get the third leg which is BC

we can use the Pythagoras’ theorem here

And that states that the square of the hypotenuse equals the sum of the squares of the two other sides

let the missing length be x

12^2 = x^2 + 9^2

144 = x^2 + 81

x^2 = 144-81

x^2 = 63

x = √63 ft

The value of x that will make the given angles supplementary using Line transversal theorem is: x = 20

The line transversal theorem states that when two parallel lines are cut by a transversal, then each pair of alternate interior angles are equal.

From the given image, we see that the line m and n are parallel to each other and as such we can say that both given angles are supplementary to each other using line transversal theorem. Thus:

 (x - 3) + (8x + 3) = 180

9x = 180

x = 180/9

x = 20

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Answer:

Step-by-step explanation:

first i would combine like terms so 1/4a + 1/3a is equal to 7/12 then the equation would be 7/12a+8=22 simplify the isolate the variable so i think it A=24

Answer:

Hey there!

Step-by-step explanation:

Equation: 1/4a + 1/a + 8 = 22

(The answer is 24)

(You have to do 3 steps in order to solve this question! The steps are below!)

~1. First you have to simplify both sides of the equation.

=> (1/4a + 1/3a) + (8) = 22

=> 7/12a + 8 = 22

~2. Next, subtract 8 from both of the sides.

After you do that you will get, 14

7/12a=14

~3. Lastly, you just multiply both sides by 12/7.

(12/7) x (7/12a)

(12/7) x (14)

~Therefore, A would equal to 24.

A=24

~Hope this helps!

~Good luck! :)

~If you still don’t understand, ask for help! (I would be glad to answer any questions you have! :D )

The estimate of the given expression is -72. The correct option is the first option -72

From the question, we are to estimate the given expression

The given expression is

-12 4/9 x 5 7/8

Evaluating

-12 4/9 x 5 7/8

-12 4/9 ≈ -12

5 7/8 ≈ 6

Thus,

-12 4/9 x 5 7/8 becomes

-12 × 6

= -72

Hence, the estimate of the given expression is -72. The correct option is the first option -72

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$13320 is the value of the camper after 5 years.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

m=23680-29600/3-2

=-5920

Now let us find the y intercept

37000=-5920(1)+b

b=37000+5920

b=42920

y=-5920(5)+42920

=-29600+42920

y=13320

Hence, $13320 is the value of the camper after 5 years.

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Answer:

y= -2x + 7

Step-by-step explanation:

The true statements are (A) 30×400 ml equal the total number of milliliters for 30 bowls of soup

(B) 30 bowls of soup hold 12,000 ml, which is same as 12 Litres

(C) Noah can multiply the number of bowls of soup by 1,000 to find the number of litres

(D) If each family member has 2 bowls of soup , Noah need to make 24 litres of soup

There are 30 people and each person is served soup in a 400 ml bowl, so the total amount of soup needed is 30 × 400 ml = 12,000 ml.

Option A is true

30 bowls of soup hold 30 × 400 ml = 12,000 ml, which is the same as 12 litres (since 1 litre = 1,000 ml).

Option B is true

Since 1 litre = 1,000 ml

Noah can multiply the number of bowls of soup by 1,000 to find the number of litres.

For example, 30 bowls of soup hold 12,000 ml = 12 litres.

Option C is true

If each family member has 2 bowls of soup, then the total amount of soup needed is

30 × 2 × 400 ml

= 24,000 ml, which is 24 litres (since 1 litre = 1,000 ml).

Option D is true.

Noah needs to make 24 litres of soup, and each pot contains 6 litres of soup.

Therefore, he would need to make 24 ÷ 6 = 4 pots of soup to serve each family member 2 bowls of soup.

Option E is false.

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Noah is making soup for a family reunion of 30 people. Each pot he makes contains 6 liters of soup. He uses bowl that 400mL to serve the soup to his family

Select all the true statements

(A) 30×400 ml equal the total number of milliliters for 30 bowls of soup

(B) 30 bowls of soup hold 12,000 ml, which is same as 12 Litres

(C) Noah can multiply the number of bowls of soup by 1,000 to find the number of litres

(D) If each family member has 2 bowls of soup , Noah need to make 24 litres of soup

(E) Noah would need to make 2 pots of soup for each family member to have 2 bowls of soup

Answer:

not enough info

Step-by-step explanation:

Let h = number of history books.

Let m = number of math books.

"The number of history textbooks sold was three times the number of math textbooks sold."

h = 3m

"A textbook store sold a combined total of history and math textbooks in a week."

h + m = t

t = total number of books sold.

We have a system of equations:

h = 3m

h + m = t

Since we do not have a value for t, and we have a system of 2 equations in 3 variables, we cannot find the numbers of history or math books sold.

Let D be the vertex of the cube on face ABC.

Since the opposite vertex of the cube is at O, we have OD = 1.

Let the side length of the cube be x.

Consider triangle AOB.

AB² = AO² + OB² = 1 + 1 = 2

Similarly, find that BC² = AC² = 2.

Since ABC is a right triangle with angles A, B, and C being 90° -

sin A = BC / AB = √2 / 2

sin B = AC / AB = √2 / 2

sin C = BC / AC = 1

Consider tetrahedron ABCO. Since AOB, AOC, and BOC are right angles -

∠AOCB = π - ∠AOC - ∠BOC = π/2

∠AOBC = π - ∠AOB - ∠BOC = π/2

∠ABCO = π - ∠AOC - ∠AOB = π/2

So triangles AOC, AOB, and BOC are all right triangles with hypotenuse 1 and angles A, B, and C, respectively.

Using the sine rule -

sin AOC = AO / OC = 1

sin AOB = sin BOC = BO / OC = 1

Therefore, the areas of triangles AOC, AOB, and BOC are -

Area(AOC) = (1/2) × AO × OC × sin AOC = (1/2) × 1 × 1 × 1 = 1/2

Area(AOB) = Area(BOC) = (1/2) × BO × OC × sin AOB = (1/2) × 1 × 1 × 1 = 1/2

Now, consider triangle AOD.

sin AOD = sin(180° - AOB - AOC) = sin(BOC) = √2 / 2

Using the sine rule -

AD / sin AOD = OD / sin OAD

AD / (√2 / 2) = 1 / x

AD = (√2 / 2) * (1 / x)

The area of triangle AOD is -

Area(AOD) = (1/2) × AD × OD × sin AOD = (1/2) × (√2 / 2) × (1 / x) × 1 × (√2 / 2) = 1 / (2x²)

Now, consider the tetrahedron ABCO.

The volume of the tetrahedron is -

V = (1/3) × Area(ABC) × OD = (1/3) × (√3 / 4) × 1 = √3 / 12

The volume of the cube is -

V = x³

Since the cube is inscribed in the tetrahedron -

√3 / 12 = x³

So, now there is -

x = 1/3

Therefore, the side length of the cube is 1/3, as required.

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In tetrahedron ABCO, angle AOB = angle AOC = angle BOC = 90^\circ. A cube is inscribed in the tetrahedron so that one of its vertices is at O, and the opposite vertex lies on face ABC. Let OA = 1, OB = 1, OC = 1. Show that the side length of the cube is 1/3.

Volume of a cone:

V = 1/3 π r^2 h

Where:

r= radius = 6

h= height = 20

Replacing:

V = 1/3 * π *6^2 *20

Answer:

44 dollars

Step-by-step explanation:

Since we need to find the total sales, we do 152 * .29, but we are estimating, therefore, instead we can do 150 * .29, which is 43.5. Rounding up we get 44, thus 44 is our answer

Given statement solution is :- We cannot find the missing value from the given options (3656, 2739, 1841, 5418, or 3556).

The given sequence is: 5 2 1 4 0 0 7 2 8 1 m m 7 m 5 m A.

To find the missing value, let's analyze the pattern in the sequence. We can observe the following pattern:

The first number, 5, is the sum of the second and third numbers (2 + 1).

The fourth number, 4, is the sum of the fifth and sixth numbers (0 + 0).

The seventh number, 7, is the sum of the eighth and ninth numbers (2 + 8).

The tenth number, 1, is the sum of the eleventh and twelfth numbers (m + m).

The thirteenth number, 7, is the sum of the fourteenth and fifteenth numbers (m + 5).

The sixteenth number, m, is the sum of the seventeenth and eighteenth numbers (m + A).

Based on this pattern, we can deduce that the missing values are 5 and A.

Now, let's calculate the missing value:

m + A = 5

To find a specific value for m and A, we need more information or equations. Without any additional information, we cannot determine the exact values of m and A. Therefore, we cannot find the missing value from the given options (3656, 2739, 1841, 5418, or 3556).

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Radians are a unit of measurement for angles used in mathematics and physics. They are defined as the ratio between the length of an arc of a circle and the radius of that circle.

One of the most important benefits of using radians to measure angles is that they simplify calculations involving angles, making them easier to work with.

Additionally, they allow for a more elegant and unified approach to mathematical and physical problems involving angles. So, in short, the word "radian" might be associated with concepts such as circles, arcs, and the measurement of angles in mathematics and physics.

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Answer:

M/140 = 50/60

Step-by-step explanation:

Since the total is 200 it will be the denominator but we already have 60 gallons so we do 200-60=140

the ratio is 50 per 60

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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The function has a vertical asymptote at x = 8.

To find the vertical asymptotes of the graph of the function g(x) = 7² / (8 - x), we need to determine the values of x for which the denominator becomes zero.

In this case, the denominator is 8 - x. So, we set it equal to zero and solve for x:

8 - x = 0

x = 8

Therefore, the function has a vertical asymptote at x = 8.

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Plot the four vertices of the rectangle using the given coordinates:

Find the perimeter of the rectangle by adding the length of each side.

The sides of that rectangle have lengths of 14, 11, 14 and 11 units. Then, the perimeter of the rectangle is:

Since each unit on the grid represents 10 meters, multiply that result by 10 to find the real distance that Randy walked, measured in meters:

Therefore, the answer is:

The binary representations are a) 0.11000110, b) 0.10000010 and c) 0.10100000.

Let's convert the given real numbers to binary with 8 binary places after the radix point.

A. 0.11:

To convert 0.11 to binary, we can use the following steps:

Multiply 0.11 by 2:

0.11 × 2 = 0.22

Take the integer part of the result, which is 0, and write it down.

Multiply the decimal part of the result by 2:

0.22 × 2 = 0.44

Again, take the integer part (0) and write it down.

Repeat steps 3 and 4 until you reach the desired precision (8 binary places after the radix point).

0.44 × 2 = 0.88 (integer part: 0)

0.88 × 2 = 1.76 (integer part: 1)

0.76 × 2 = 1.52 (integer part: 1)

0.52 × 2 = 1.04 (integer part: 1)

0.04 × 2 = 0.08 (integer part: 0)

0.08 × 2 = 0.16 (integer part: 0)

0.16 × 2 = 0.32 (integer part: 0)

0.32 × 2 = 0.64 (integer part: 0)

Write down the integer parts obtained in step 4 and 5, in order:

0.11000110

Therefore, the binary representation of 0.11 with 8 binary places after the radix point is 0.11000110.

B. 0.51:

To convert 0.51 to binary, we can use the same steps:

Multiply 0.51 by 2:

0.51 × 2 = 1.02

Take the integer part of the result, which is 1, and write it down.

Multiply the decimal part of the result by 2:

0.02 × 2 = 0.04

Again, take the integer part (0) and write it down.

Repeat steps 3 and 4 until you reach the desired precision (8 binary places after the radix point).

0.04 × 2 = 0.08 (integer part: 0)

0.08 × 2 = 0.16 (integer part: 0)

0.16 × 2 = 0.32 (integer part: 0)

0.32 × 2 = 0.64 (integer part: 0)

0.64 × 2 = 1.28 (integer part: 1)

0.28 × 2 = 0.56 (integer part: 0)

0.56 × 2 = 1.12 (integer part: 1)

0.12 × 2 = 0.24 (integer part: 0)

Write down the integer parts obtained in step 4 and 5, in order:

0.10000010

Therefore, the binary representation of 0.51 with 8 binary places after the radix point is 0.10000010.

C. 0.625:

To convert 0.625 to binary, we can use the same steps:

Multiply 0.625 by 2:

0.625 × 2 = 1.25

Take the integer part of the result, which is 1, and write it down.

Multiply the decimal part of the result by 2:

0.25 × 2 = 0.50

Again, take the integer part (0) and write it down.

Repeat steps 3 and 4 until you reach the desired precision (8 binary places after the radix point).

0.50 × 2 = 1.00 (integer part: 1)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

Write down the integer parts obtained in step 4 and 5, in order:

0.10100000

Therefore, the binary representation of 0.625 with 8 binary places after the radix point is 0.10100000.

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Answer:

1,080,000.000km/hr

Step-by-step explanation: