Multiply these fractions. Cancel and simplify if necessary

The Braille system uses two vertical columns of three dots each to represent characters. There are 8 possible combinations for each column, giving a total of 64 distinct Braille characters.

The Braille system of representing characters was developed by Louis Braille in the early nineteenth century. This system is used by blind people and consists of raised dots that represent characters. The positions for the dots are selected from two vertical columns of three dots each. At least one raised dot must be present to represent a character.

To determine the number of distinct Braille characters possible, we need to consider the number of ways we can arrange the dots in the two vertical columns. Each column has three dots, and we need to choose which of these three dots to raise to represent a character. This gives us a total of 2^3 = 8 possible combinations for each column.

Since we have two columns, we can multiply the number of possible combinations for each column to get the total number of distinct Braille characters. This gives us 8 x 8 = 64 possible characters.

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The t-shirts she sell is 24.

What is profit and selling price?

Profit is considered as the gain amount from any business activity. Whenever a shopkeeper sells a product, his motive is to gain some benefit from the buyer in the name of profit.

The selling price is the price that the buyer pays to buy a product or goods. This is a price above cost and includes a profit ratio.

According to Question, Christine sold the t- shirts at $4 each and she earned a profit of $71 and his total expenses were $25

Let the total number of t- shirts sold by Christine be "x"

Profit = Selling price – Expenses

Selling price is given as:

selling price = total number to t-shirt sold ×price of each t shirt

selling price = n ×4

71 = (n×4) -24

71 + 25  = n×4

96/4 = n

n = 24

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Answer:

your answer is 10 celsies

Step-by-step explanation:

Answer:

M 1 is also 26

Step-by-step explanation:

If the two lines are paraell then m1 and m2 will be congruent

The roots of the equations are as follow :

a. x = 6 , roots are not extraneous.

b. x = 2 , no extraneous roots.

Roots of the equations are:

a) 4 x- 1 = 5 + 3x

⇒ 4x - 3x = 5 + 1

⇒ x = 6

x = 6 is not an extraneous roots.

b)  log₂ x + log₂ (x ²) = 3

⇒ log₂ x + 2log₂ (x ) = 3

⇒log₂ x ( 1 + 2 ) = 3

⇒ log₂ x ( 3) = 3

⇒ log₂ x = 3/3

⇒ log₂ x = 1

⇒ x = 2¹

⇒ x = 2

x = 2 is not an extraneous root.

Therefore, the equations a) 4 x- 1 = 5 + 3x  and b)  log₂ x + log₂ (x ²) = 3 have the roots x = 6 and x = 2 respectively and are not extraneous.

The above question is not complete , the complete question is:

solve the following equations and identify any extraneous roots where applicable:

a) 4 x- 1 = 5 + 3x

b) log₂ x + log₂ (x ²) = 3

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As a result, the product property can be used to manipulate and equation statements containing 2xy, as well as to express 2xy in terms of its factors.

An equation is a statement that shows the equality between two mathematical expressions. It is a fundamental concept in mathematics and is used to describe relationships between quantities.

The purpose of an equation is to find the value of the unknown variable(s) that make the equation true. This is typically done by applying algebraic operations to manipulate the equation, with the goal of isolating the variable on one side of the equal sign.

\(2xy = 2 * x * y\)

\(2xy = 2x * y = 2y * x = x * 2y = y * 2x = x * y * 2\)

\(4x^2y * 3xy^2 = (4 * x * x * y) * (3 * x * y * y)\)

\(= 12 * x^3 * y^3\)

As a result, the product property can be used to manipulate and simplify statements containing 2xy, as well as to express 2xy in terms of its factors.

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Answer:

82 members

Step-by-step explanation:

51 is one standard deviation to the left of the mean.

59 is one standard deviation to the right of the mean

approximately 2/3 of the data normally distributed is within 1 standard deviation of the mean.

so we expect 2/3 of the data (2/3 X 123 = 82).

so the answer is 82 members

Answer:

.

Step-by-step explanation:

Answer:

0.25 Liters

Step-by-step explanation:

1 milliliter = 0.001 Liter

250 milliliters = 0.001 x 250 = 0.25 Liters

So, there are 0.25 Liters in 250 milliliters.

Answer:

.25 liters

Step-by-step explanation:

1 milliliter is .001 liter so .001 multiplied by 250 equals .25

:) hope that helps

The smaller number is 25, and the larger number is 68. The larger number is 18 more than twice the smaller number, and their sum is 93.

To solve this word problem using the 3-step process, we need to find the two numbers given that the larger number is 18 more than twice the smaller and the sum of the two numbers is 93.
Step 1: Let's assign variables to the unknown numbers. Let's say the smaller number is "x" and the larger number is "y".
Step 2: Translate the given information into equations. From the problem, we know that the larger number is 18 more than twice the smaller. So, we can write the equation as: y = 2x + 18.
We also know that the sum of the two numbers is 93. So, we can write another equation as: x + y = 93.
Step 3: Solve the system of equations. We have two equations:
y = 2x + 18
x + y = 93
We can solve this system of equations by substitution method or elimination method. Let's use substitution.
Substitute the value of y from the first equation into the second equation:
x + (2x + 18) = 93
3x + 18 = 93
3x = 93 - 18
3x = 75
x = 75 / 3
x = 25
Now, substitute the value of x back into the first equation to find y:
y = 2(25) + 18
y = 50 + 18
y = 68
So, the smaller number is 25 and the larger number is 68.

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Step-by-step explanation:

log (√1000000x)

Rewrite √1000000x as (1000000x)1/2.

expand long ((1000000x)1/2) by moving 1/2

oby moving logarithm.

1/2 longth (1000000x)

Rewrite

log

(1000000x) as log(1000000)+log(x).

1/2(log(1000000)+log(x))

Logarithm base 10 of 1000000 is 6.

1/2(6+log(x))

Apply the distributive property.

1/2.6+1/2 log(x)

Cancel the common factor of 2.

3+1/2 long(x)

Combine 1/2 and log(x)

3+ long(x)/2

Step-by-step explanation:

See the steps below:

\(log\sqrt{1000000x} =\\(1/2)log 1000000x=\\(1/2)log10^6+(1/2)logx=\\(1/2)(6) + (1/2)logx=\\3+(1/2)logx\)

The answer to find the distance each student walked on map is , (a)  Aaron walked from the library to the school and then to the gym is:0.56 m , (b) José walked from the motel to the restaurant and then to the movie theater is: 325.1 m , (c)  Shanti walked from the gym to the motel and then to the movie theater is: 0.648 m.

scale refers to the ratio between the distance on a map and the corresponding distance on the ground or real-world surface being depicted. In other words, it is the relationship between the size of the map and the actual size of the area being represented.

Scale is an important concept in cartography because it affects the level of detail and accuracy that can be shown on a map. Large-scale maps show a smaller area in greater detail, while small-scale maps show a larger area with less detail.

a) To find the distance Aaron walked from the library to the school, we need to measure the distance on the map using the ruler. According to the key, the distance between point A and point D is 3 cm. Using the scale of 1:12,500, we can calculate the actual distance as follows:

Actual distance = Map distance ÷ Scale

Actual distance = 3 cm ÷ 12,500

Actual distance = 0.00024 km or 0.24 m

Similarly, the distance between point A and point B is given by:

Map distance = 4 cm

Actual distance = 4 cm ÷ 12,500

Actual distance = 0.00032 km or 0.32 m

Therefore, the total distance that Aaron walked from the library to the school and then to the gym is:

Total distance = Distance from A to D + Distance from A to B

Total distance = 0.24 m + 0.32 m

Total distance = 0.56 m

b) To find the distance José walked from the motel to the restaurant, we need to measure the distance on the map using the ruler. According to the key, the distance between point C and point E is 4.51 m. However, the scale of the map is in kilometers, so we need to convert meters to kilometers:

Map distance = 4.51 cm

Actual distance = 4.51 cm ÷ 100,000

Actual distance = 0.0000451 km or 0.0451 m

Similarly, the distance between point E and point F is given by:

Map distance = 3.5 cm

Actual distance = 3.5 cm ÷ 12,500

Actual distance = 0.00028 km or 0.28 m

Therefore, the total distance that José walked from the motel to the restaurant and then to the movie theater is:

Total distance = Distance from C to E + Distance from E to F

Total distance = 0.0451 km + 0.28 m

Total distance = 0.3251 km or 325.1 m

c) To find the distance Shanti walked from the gym to the motel, we need to measure the distance on the map using the ruler. According to the key, the distance between point B and point D is 41 mm or 4.1 cm. Using the scale of 1:12,500, we can calculate the actual distance as follows:

Actual distance = Map distance ÷ Scale

Actual distance = 4.1 cm ÷ 12,500

Actual distance = 0.000328 km or 0.328 m

Similarly, the distance between point D and point F is given by:

Map distance = 4 cm

Actual distance = 4 cm ÷ 12,500

Actual distance = 0.00032 km or 0.32 m

Therefore, the total distance that Shanti walked from the gym to the motel and then to the movie theater is:

Total distance = Distance from B to D + Distance from D to F

Total distance = 0.328 m + 0.32 m

Total distance = 0.648 m

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Answer:

The amount of songs that will be left over is 3.

Step-by-step explanation:

First, you have to multiply the number of music files for the number of songs in each file to find the total amount of songs that Tabitha has:

5 music files*9 song in each file= 45 songs

Now, that you know that she has 45 songs and as you know that she is dividing them in 7 groups that will have the same number of songs, you have to divide the number of songs by the number of groups:

45/7=6.42

So, this means that she will have 7 groups with 6 songs in each one which would be equal to 42 songs as 7*6=42. Finally, to find the amount of songs that will be left over, you have to subtract 42 songs from the total amount of songs that Tabitha has:

45-42=3

According to this, the answer is that the amount of songs that will be left over is 3.

Step-by-step explanation:

tan (40) = 1250 / x

x = 1250 / tan 40 = 1490 ft

In the given diagram, the statement "Chords AB, BC, AE, and CE are congruent" is not always true i.e. ACB = BCD.

A chord is a line segment that connects two points on a circle. In this case, the chords AB, BC, AE, and CE are drawn within the circle. While it is true that the diameter AC is perpendicular to CD at point C, this does not guarantee that the chords mentioned are congruent.

Congruent chords have the same length and are equidistant from the center of the circle. However, in general, the chords AB, BC, AE, and CE can have different lengths and therefore may not be congruent. The specific lengths and relationships between these chords would depend on the measurements and angles within the given diagram.

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Answer:

total= 98

Step-by-step explanation:

so the way to do this is to find the total surface area of the white bench and then subtract the interfacing portion for the support, and then total surface area of support and also subract the area of the interface with the white as well as the ground

bench top area

area of long side *number of sides + area of end *number of ends

(9*2)*4+(2*2)*2= 72+8=80

interface area is area of long side of red portion

5*2=10

support area is same as bench top for rationale

(5*2)*4+(2*2)=40+8=44

total surface area = area of white + area of red - 2* interface area - bottom of red that interfaces with the ground

total = 80+48-2*10-(5*2)

total = 128-20-10

total= 98

Answer: 4,500+50g=6,000

Step-by-step explanation:

Answer:

126.5 or 126 and 1/2 (one half)

Step-by-step explanation:

To find out how much that yearly salary is in weeks, we can take the number and divide by 52, because there are 52 weeks in the year.

54,262/52 = 1043 and 1/2 or 1043.5

Now, we must do 26 * 45 because you are working for 45 hours, and making $26 an hour.

and that number for 26 * 45 is 1170.

Now to find how much more you make from taking the hourly job over the salary job, you need to find the difference.

To do that, you would subtract 1170 and 1043.5 or 1043 and 1/2.

That is 126.5 or 126 and 1/2 (one half)

The area of the second trapezoid is 289 square centimeters.

To find the area of a trapezoid, you need the lengths of its parallel sides and the height (perpendicular distance) between them. In your case, you have two different sets of measurements, so I assume you're referring to two different trapezoids. Let's calculate the area for each one:

Trapezoid with bases of 11 cm and 17 cm, and height 15 cm:

The formula for the area of a trapezoid is: A = (b1 + b2) * h / 2, where b1 and b2 are the lengths of the bases, and h is the height.

Plugging in the values: A = (11 cm + 17 cm) * 15 cm / 2

= (28 cm) * 15 cm / 2

= 420 cm²

Therefore, the area of the first trapezoid is 420 square centimeters.

Trapezoid with bases of 15 cm and 19 cm, and height 17 cm:

Using the same formula: A = (b1 + b2) * h / 2

Plugging in the values: A = (15 cm + 19 cm) * 17 cm / 2

= (34 cm) * 17 cm / 2

= 289 cm²

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The triangle with the side lengths 2 ft, 3ft, and 5 ft is not the right triangle.

In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.

Here,
Given sides,
2ft, 3ft, 5ft

Now,
perpendicular p = 2 ft
base b               =  3 ft
hypotenuse h      = 5 ft

According to Pythagoras' theorem
h² = p² + b²

5² = 2² + 3²
25 ≠ 13

Thus, the triangle with the side lengths 2 ft, 3ft, and 5 ft is not a right triangle.

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Answer:

Step-by-step explanation:

I attached a graph.

Hope that helps!

a. The expression representing the weight of the drained water is: Weight of drained water = \(v \times 8.345\)

b. The expression representing the total weight is: Total weight = v * 8.345 + 741.75

c. Weight of tub = \(741.75 - (50 \times 8.345)\)

d. The weight of the tub and water at 591.54 pounds indicates that there is still 50 gallons of water in the tub.

a. The weight of the water that has drained from the tub can be calculated by multiplying the number of gallons drained (v) by the weight of water per gallon, which is 8.345 pounds.

b. The total weight of the tub and water can be calculated by adding the weight of the water that has drained (\(v \times 8.345\)) to the initial weight of the tub and water, which is 741.75 pounds.

c. When there is no water in the tub, the weight of the tub alone can be calculated by subtracting the weight of the water (\(50 gallons \times 8.345\)pounds/gallon) from the total weight of the tub and water.

d. If the weight of the tub and water is 591.54 pounds, we can set up an equation to solve for the number of gallons of water drained (v):

\(591.54 = v \times 8.345 + 741.75\)

Simplifying the equation:

\(v \times 8.345 = 591.54 - 741.75\\v \times 8.345 = -150.21\)

v = -150.21 / 8.345

v ≈ -18.00

Since the number of gallons cannot be negative in this context, we can conclude that no water has drained from the tub.

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Answer:

15

Step-by-step explanation:

the range is the largest number take away the smallest number

56-41=15

The minimal sample size needed for a 95% confidence interval to have a maximal margin of error of 0.1 in the following scenarios are,

a preliminary estimate for p is 0.33 is the sample is n=76.

there is no preliminary estimate for p the sample size is \($n=97$\).

As per the question Margin of Error=0.1

E=0.1

At \($95 \%$\) confidence level the \($z$\) is,

\($$\begin{aligned}& \alpha=1-95 \%=1-0.95=0.05 \\& \frac{\alpha}{2} =\frac{0.05}{2} =0.025 \\& Z_{\frac{\alpha}{2} }=Z_{0.025}=1.96\end{aligned}$$\)

\($$Z_{\frac{\alpha}{2} }=1.96$\\\\(a)$\dot{\mathbf{p}}=0.33$$\)

We have to determine the sample size :

\($$\mathrm{n}=\left(\frac{Z_{\frac{a}{2}}}{\mathrm{E}}\right)^2 \times \hat{\mathrm{p}} \times(1-\hat{\mathrm{p}})=\left(\frac{1.96}{0.1}\right)^2 \times 0.33 \times 0.73=76$$\)

\($n=76$\)

Therefore the size of the sample is n=76

b) There is no preliminary estimate for p

So we will consider,

\($\dot{\mathbf{p}}=0.5$$\)

Sample size is,

\($$\mathrm{n}=\left(\frac{1.96}{0.1}\right)^2 \times 0.5 \times 0.5=97$$\)

Therefore the sample size is \($n=97$\)

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In a Venn diagram, we illustrate the relationships between sets a, b, and c, specifically the relationships a ⊂ b (a is a subset of b) and a ⊂ c (a is a subset of c).

A Venn diagram is a visual representation of sets using overlapping circles. In this case, we have three sets: a, b, and c. To illustrate the relationship a ⊂ b, we draw a circle representing set b and a smaller circle inside it representing set a. This indicates that every element in a is also an element of b, but b may contain additional elements that are not in a. The subset a is completely contained within set b. Similarly, to represent the relationship a ⊂ c, we draw a circle representing set c and a smaller circle inside it representing set a. This indicates that every element in a is also an element of c, but c may contain additional elements that are not in a. The subset a is completely contained within set c. By using the Venn diagram, we visually demonstrate the relationships between sets a, b, and c. The diagram clearly shows that a is a subset of both b and c, indicating that all elements of a are also elements of b and c. However, b and c may have additional elements that are not in a.

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Answer:

6

Step-by-step explanation:

f(8)=2(8-5)

f(8)=2(3)

f(8)=6

have a great day

Answer:

13.7%

Step-by-step explanation:

Nominal interest rate = \((\sqrt[m]{1 + effective annual interest rate} - 1 \ ) m\)  

where m = number of compounding = 12

(\(\sqrt[12]{1.146}\) - 1 ) x 12 = 0.137054 = 13.7%

To round to one decimal place means that there should be only one figure after the decimal place.

Answer:

x = 7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Solve for

x

by simplifying both sides of the inequality, then isolating the variable.

Inequality Form:

x>7

Interval Notation:

7

Answer:

$5

Step-by-step explanation:

$14 x 30% (0.30) = $4.2

$14 + $4.2 = $18.2

\(\frac{18.2}{4}\) = 4.55

Round to the nearest dollar:

4.55 = 5

Answer:

Step-by-step explanation:

800-160=640

640/800=64/80

64/80=16/20

16/20=4/5

Answer=4/5

The fraction of his original money does he have left = 4/5 .

What is a fraction in math?

A boy has = 800 and spends = 160

800-160=640

640/800=64/80

64/80=16/20

16/20=4/5

Therefore, his original money left =4/5

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