solve the following below

6 3/5 + 4 1/2​

According to the figure's surface area, 712 square centimeters,

A prism is indeed a solid form that is enclosed by flat faces on all of its sides. A prism has two different kinds of faces. Bases refer to the identical top and bottom faces. The word "prism" refers to the form of these bases. For instance, a prism is referred to be a triangular prism if its base is triangular.

We must sum up the places of all the faces of a two rectangular prisms in order to determine the contact area of the this L-shaped composite figure.

First, we'll find the area of the faces of the first prism.

It has a length of 20 cm, a width of 4 cm, and a height of 8 cm.

So, the area of the front face is 204 = 80 sq cm.

The area of the back face is also 80 sq cm.

The area of the top face is 48 = 32 sq cm.

The area of the bottom face is also 32 sq cm.

The area of the right face is 8*20 = 160 sq cm.

The area of the left face is also 160 sq cm.

Now, we'll find the area of the faces of the second prism.

It has a length of 20 cm, a width of 10 cm, and a height of 2 cm.

So, the area of the front face is 2010 = 200 sq cm.

The area of the back face is also 200 sq cm.

The area of the top face is 102 = 20 sq cm.

The area of the bottom face is also 20 sq cm.

The area of the right face is 2*20 = 40 sq cm.

The area of the left face is also 40 sq cm.

Now, we need to subtract the area of the shared face from both prisms. The shared face is 20*2 = 40 sq cm. So, we need to subtract 40 sq cm from both prisms.

So, the total surface area of the figure is (80+80+32+32+160+160) + (200+200+20+20+40+40) - (40+40) = 712 sq cm.

Therefore, the surface area of the figure is 712 square centimeters.

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After 14 days, you will have approximately $2.4414 invested in the stock market.

The amount you will have invested after 14 days can be calculated using the geometric sequence formula. The formula for the nth term of a geometric sequence is given by:

an = a1 x \(r^{(n-1)\)

Where:

an is the nth term,

a1 is the first term,

r is the common ratio, and

n is the number of terms.

In this case, the initial investment is $20,000, and each day the investment loses half of its value, which means the common ratio (r) is 1/2. We want to find the value after 14 days, so n = 14.

Substituting the given values into the formula, we have:

a14 = 20000 x\((1/2)^{(14-1)\)

a14 = 20000 x \((1/2)^{13\)

a14 = 20000 x (1/8192)

a14 ≈ 2.4414

Therefore, after 14 days, you will have approximately $2.4414 invested in the stock market.

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The amount you will have invested after 14 days is given as follows:

$2.44.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term of the sequence.

The parameters for this problem are given as follows:

\(a_1 = 20000, q = 0.5\)

Hence the amount after 14 days is given as follows:

\(a_{14} = 20000(0.5)^{13}\)

\(a_{14} = 2.44\)

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Answer:

I believe it is 64 degrees

<s on a straight line

180-116 = 64 °

64 ° is alternate to angles x

:. x = 64°

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Answer:

x = -b/a

Step-by-step explanation:

ax+b = 0

Subtract b from each side

ax+b-b=0-b

ax = -b

Divide each side by a

ax/a = -b/a

x = -b/a

The 95% confidence interval for voters not favoring is approximately 16.08% to 23.92%.

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The set {a, b, c, d, e} equipped with the topology T = {{}, {a}, {a, b}, {a, b, c, d}, {a, b, e}, {a, b, c, d, e}} is a local base first countable space.

A local base first countable space is a topological space where each point has a countable local base. In this case, the set {a, b, c, d, e} with the topology T = {{}, {a}, {a, b}, {a, b, c, d}, {a, b, e}, {a, b, c, d, e}} satisfies this condition.

To explain further, a local base for a point x is a collection of open sets that contain x and any open set containing x must contain an open set from the local base. In this case, each point in X has a countable local base, which means that for each point, there exists a countable collection of open sets that satisfies this condition.

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Answer: −4.5n+3 = -3(1.5n - 1)

Step-by-step explanation:

Number of bowls that Laura can make with 10lbs of clay is 16

To find out how many bowls Laura can make, we need to divide the amount of clay she has by the amount of clay needed to make one bowl.

Let's start by converting the fraction 3/5 into a decimal:

3/5 = 0.6

This means that Laura needs 0.6 lbs of clay to make one bowl.

Now we can divide the total amount of clay Laura has by the amount of clay needed for one bowl:

10 ÷ 0.6 = 16.67

Laura can make 16 complete bowls with 10 lbs of clay, and she will have some clay left over (0.07 lbs to be exact) that is not enough to make another full bowl.

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Answer:

x=5

Step-by-step explanation:

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Answer:

x=5

Step-by-step explanation:

6x-3 = 3x +12

+3            +3

6x = 3x +15

-3x   -3x

3x = 15

divided both sides by 3 to get your answer

Answer:

Step-by-step explanation:

Properties of a parallelogram

Use the properties to find the required parameters

1) Find m∠YXV

2) Find m∠Y

3) Find x

Answer:

m∠YXV = 56°

m∠Y = 84°

x = 3

Step-by-step explanation:

Sum of interior angles of a triangle = 180°

⇒ m∠W + m∠WVX + m∠VXW = 180°

⇒ 84° + m∠WVX + 40° = 180°

⇒ m∠WVX = 56°

As VW ║ YX  and  YV ║ XW  then  m∠WVX = m∠YXV

So m∠YXV = 56°

In a parallelogram, opposite angles are congruent

⇒ m∠Y = m∠W

⇒ m∠Y = 84°

In a parallelogram, opposite sides lengths are congruent

⇒ VW = YX

⇒ 2x = 6

⇒ x = 6 ÷ 2

⇒ x = 3

Answer:

Step-by-step explanation:

Thanks Okay

Answer: Hello there!

There are 3 ways Ruth can go from high school to the library, and 5 ways she can go from the library to her home.

The number of possible combinations is equal to the product between the options of each event (where the events are going from high school to the library and going from library to her house):

\(3\times5 = 15\)

Then there are 15 different routes that Ruth can take from high school to her home, where she makes a stop at the library.

The probability that their first child will have kidney disease is 1/8.

What is probability?

The proportion of favorable cases to all possible cases is used to determine how likely an event is to occur.

Here, we have

Both parents must be heterozygous to have a 1/4 chance of having an

affected child. Parent 2 is heterozygous (her father was homozygous recessive, but she has unaffected).

For the child to have the disease, both Parent 1 and Parent 2 would need to be heterozygous

There is a 50% chance of this for Parent 1 and a 100% chance of this for Parent 2 and then, there is a 25% chance that their first child will be affected:

50%× 100% × 25% = 12.5%

1/2 × 1/4 = 1/8

Hence, the probability that their first child will have kidney disease is 1/8.

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Given,

F= Fixed Cost = $18,000

V= Variable Cost per unit = $0.90

P= Price per unit = $3.20

a) Q= Quantity = 12,000 cupcakes annually

Total Cost (TC) formula is:TC = F + V x Q = 18,000 + 0.90 × 12,000 = $29,400

Total Revenue (TR) formula is:TR = P × Q = 3.20 × 12,000 = $38,400

Profit formula is:Profit = TR − TC = 38,400 − 29,400 = $9,000.

b) The bakery will need to sell 6,924 cupcakes in order to break even.

The formula for the Break-even point (BEP) is BEP = F / (P - V) = 18,000 / (3.20 - 0.90) = 6,923.08 ≈ 6,924 cupcakes

5. The graphical representation of the Break-even volume for the Gobblecakes bakery is shown below:

8. Break-even volume as a percentage of maximum operating capacity will be = 58%

Break-even volume as a percentage = (Break-even volume / Maximum operating capacity) x 100%

                                                             = (6,923.08 / 12,000) x 100% = 57.69% ≈ 58%

11. The new Break-even point (BEP) will increase from 6,924 cupcakes to 8,750 cupcakes.

When the selling price for a cupcake changes from $3.20 to $2.75, the new Break-even point (BEP) will be:

BEP = F / (P - V) = 18,000 / (2.75 - 0.90) = 8,750 cupcakes

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A result is called "statistically significant" when the p-value is less than the significant level, typically 0.05.

This means that there is less than a 5% chance that the results are due to chance alone, and suggests that there is a real effect present in the data.

The Null Hypothesis is the assumption that there is no significant difference between the measured phenomenon and a certain value or set of values. A statistically significant result means that the observed data are inconsistent with the assumption of no difference, or no effect.

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Based on the given information, the graph represents the relationship between the number of adults present and the maximum number of children allowed on a field trip. Since the trip is allowing for a maximum of 12 children, we will analyze the graph to determine how many adults will be present.

Without the graph, we cannot provide the exact number of adults needed for 12 children. However, once you have the graph in front of you, simply locate the point on the graph where the number of children allowed (y-axis) is equal to 12. Then, trace the point horizontally to the corresponding number of adults on the x-axis. This will give you the number of adults required to supervise the 12 children during the field trip.

Remember to follow any guidelines or ratios that may be established by your school or organization regarding adult-to-child ratios on field trips, as this can impact the number of adults needed for the trip.

this graph represents the maximum number of children that are allowed on a field trip depending on the number of adults present to supervise. a trip is allowing for a maximum of 12 children. how many adults will be present? enter your answer in the box.

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We want to know an expression equivalent to:

which is a multiplication. For doing it, we will use the distributive property, where we multiply the first term of the first expression by each one of the terms on the second expression, and then we multiply the second term of the first expression by each one of the terms on the second expression.

We obtain:

Now, we multiply the terms as usual: first the coefficients and then the variables:

Thus, the expression equivalent is 6a² - a - 35.

Answer:

the slope is 4/3

Step-by-step explanation:

so the equation of your problem would be y=4/3x-2

-2 is your y-intercept (or your b)

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The value of the length of side UX for the right triangle formed by sides tangent to the circle is equal to 3.4 using the Pythagoras rule.

The Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 

The side XV is perpendicular to the side UV tangent to the circle, which makes the triangle a right triangle.

so by evaluation we derive the value for the hypotenuse UX as follows;

UX = √(3² + 1.6²)

UX = √(9 + 2.56)

UX = √11.56

UX = 3.4

Therefore, the length of side UX for the right triangle is equal to 3.4 using the Pythagoras rule.

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The probability that a student passed the course depends on various factors, such as the grading criteria, the weightage of homework in the overall assessment, and the performance of the students.

To determine the probability that a student passed the course given that they did not complete their homework, we need to consider the grading criteria and the weightage of homework in the overall assessment. If the completion of homework carries a significant weight in the final grade, students who did not complete their homework would have a lower chance of passing the course. However, if homework is not a major factor in the grading scheme, other factors such as class participation, performance on exams, and projects might have a greater impact on the final grade.

Additionally, the overall performance of the students in the class would affect the probability. If the majority of students perform well in the course, irrespective of completing their homework, the probability of passing the course without completing homework could be higher. On the other hand, if the majority of students who pass the course have consistently completed their homework, the probability would be lower.

Without specific information about the grading criteria, weightage of homework, and the performance distribution of the students, it is challenging to provide an exact probability. Therefore, the probability that a student passed the course given that they did not complete their homework can vary based on these factors and would need more specific information to be determined accurately.

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The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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It will take Daquin 63min to finish rest of his homework which is 70% of the total homework, if 30% is done in 27 minutes.

Daquin has completed 30% of his work.

Remaining work will be 100-30 = 70%

Means 70% of the total work is remaining to do by Daquin.

By applying unitary method:

Since, to do 30% of the homework it take 27 minutes.

Therefore, To do 1% of the homework it will take 27/30 minutes.

So, To do 70% of the homework it will take (27/30)×70 min

= 63 min

Hence, It will take him 63min to finish rest of his homework.

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Answer:

answer: B, -2 edge 2020

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

It's going up, so its positive and you could draw a line straight through the points, because they are all very close .

Answer:

21

Step-by-step explanation:

21 is the constant of proportionality.

Answer:

2

Step-by-step explanation:

2x(5+4)=(_x5)+(_x4)

lets start with 2x(5+4)

(5+4)=9

so we are left with 2x9

2x9=18

so now we have 18=(_x5)+(_x4)

lets try 2 for the blank spaces

18=(2x5)+(2x4)

2x5=10

2x4=8

10+8=18

2x(5+4)=(2x5)+(2x4)

It worked! Hope this helps :)

Answer:

Both blanks equal 2.

Step-by-step explanation:

2*5=10

2*4=8

10+8=18

9*2=18

Answer:

2, 3, 4, 6

Step-by-step explanation:

Answer:

2,3,4,6

Step-by-step explanation

12 divided by 2 is 6

12 divided by 3 is 4

12 divided by 4 is 3

12 divided by 6 is 2