The sum of the lowest prime number and 5 is equal to
which of the following?

Answer:

  1435.5 m²

Step-by-step explanation:

You want the area of the triangular prism with base side lengths 12 m, 33 m, and 35 m, and height 13 m. The altitude of the base triangle is given as 11.3 m from the longest side.

The area of each triangular base is ...

  A = 1/2bh

  A = 1/2(35 m)(11.3 m) = 197.75 m²

The area of the three rectangular faces will be ...

  LA = (12 m)(13 m) +(33 m)(13 m) +(35 m)(13 m)

  = (13 m)(12 +33 +35 m) = (13 m)(80 m) = 1040 m²

The total area is the sum of the lateral area and the areas of the two bases:

  A = 1040 m² +2(197.75 m²) = 1435.5 m²

The surface area of the triangular prism is about 1435.5 m².

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The weight of the melted ice cream would be the same as the weight of the original ice cream, which is 5 ounces.

a quantity or thing weighing a fixed and usually specified amount. : a heavy object (such as a metal ball) thrown, put, or lifted as an athletic exercise or contest. 3. : a unit of weight or mass see Metric System Table.

When the ice cream melts, it undergoes a change in state from solid to liquid, but the total mass or weight remains unchanged. Therefore, the weight of the melted ice cream is still 5 ounces.

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Answer:

1/2

Step-by-step explanation:

Change 2/3 to 4/6 so there are common denominators.

4/6 - 1/6 = 3/6 = 1/2

Answer:

2/3 - 1/6 is equal to 1/2.

Step-by-step explanation:

To evaluate 2/3 - 1/6, we need to find a common denominator for the two fractions. The smallest common denominator for 3 and 6 is 6.

We can convert 2/3 to an equivalent fraction with a denominator of 6 by multiplying both the numerator and denominator by 2:

2/3 = (22)/(32) = 4/6

We can leave 1/6 as it is since its denominator is already 6.

Now, we can subtract the two fractions by subtracting the numerators and keeping the denominator the same:

2/3 - 1/6 = 4/6 - 1/6 = (4-1)/6 = 3/6

The fraction 3/6 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 3:

3/6 = (3/3) / (6/3) = 1/2

Therefore, 2/3 - 1/6 is equal to 1/2.

180 cm is equivalent to 5 feet and 11 inches.

To convert cm to feet and inches, you can use the conversion factor of 1 cm = 0.0328084 ft. To convert 180 cm to feet and inches, you would divide 180 by 30.48 (1ft) and then use the remainder to calculate the inches.

For example, you can divide 180 by 30.48, which equals 5.905511811, and then you can use the remainder to calculate the inches. In this case, 0.905511811*12= 10.86 inches.

Alternatively, you can use a conversion calculator or a conversion table. These can be found online or on your smartphone, and they are especially useful when you need to convert large numbers or when you need to convert measurements on a regular basis.

It's important to note that the conversion factor of 1 cm = 0.0328084 ft only gives you the approximate value of height in feet and inches, as rounding errors may occur. However, it is an easy way to quickly convert cm to feet and inches in your head.

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Answer:

475

Step-by-step explanation:

1021-71

950/2

The statement is true: the R2 change reflects the change in the amount of variance explained when subsequent variables are entered into the regression model.

The R2 change, also known as the change in the coefficient of determination, reflects the change in the amount of variance explained in a regression model when additional variables are added.

R2 is a statistical measure that represents the proportion of the dependent variable's variance that is explained by the independent variables in a regression model. When subsequent variables are entered into the model, the R2 change indicates how much additional variance is accounted for by these variables.

If the R2 change is positive, it means that the additional variables contribute to explaining more variance in the dependent variable. On the other hand, if the R2 change is negative, it suggests that the subsequent variables do not improve the model's ability to explain variance.

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Answer:

y = (4/3)x - 2/3

Step-by-step explanation:

From (-6, -2) to (-3, 2) we see the x-component changing by 3 units and the y-component by 4 units.  Thus, the slope of this new line is

m = rise / run = 4/3.  

Let's focus on the point (-3, 2).  Here x = -3 and y = 2.  Plugging these three values into the slope-intercept form of the equation of a line, we get:

2 = (4/3)(2) + b.

Then 2 = 8/3 + b, or 6/3 = 8/3 + b.  Thus, b = 6/3 - 8/3, or -2/3.

The equation of the desired line is y = (4/3)x - 2/3

Answer:y=4/3x+6

Step-by-step explanation:

Nothing that we can say regarding an we are unsure of whether the terms of an are rising or falling, a passes the Comparison Test and sequence, Since bn, an also converges.

A collection of numbers, or "terms," is referred to as a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence.

We are unable to comment on an.

This is due to the fact that bn converges, causing a to exceed bn, and as a result, we are unable to determine whether the terms of an are increasing or decreasing.

What can you say about an if a bn for all n? a passes the Comparison Test and converges.

This is due to the fact that since bn converges and a converges since bn, we may infer that the terms of an are likewise decreasing and that an also sequence since bn based on the comparison test.

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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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a). We have proved all the given conditions.

b). It is true that condition 3 holds for all regular languages L1 and L2.

(a) Regular languages L1 and L2 can be suggested as follows:

Let \(L_1={0^{(n+1)} | n\geq 0}\)

and

\(L_2={1^{(n+1)} | n\geq 0}\)

We have to prove three conditions:1. L1 ⊈ L2:

The given languages L1 and L2 both are regular but L1 does not contain any string that starts with 1.

Therefore, L1 and L2 are distinct.2. L2  L1:

The given languages L1 and L2 both are regular but L2 does not contain any string that starts with 0.

Therefore, L2 and L1 are distinct.3. (L1 ∪ L2)* = L1* ∪ L2*:

For proving this condition, we need to prove two things:

First, we need to prove that (L1 ∪ L2)* ⊆ L1* ∪ L2*.

It is clear that every string in L1* or L2* belongs to (L1 ∪ L2)*.

Thus, we have L1* ⊆ (L1 ∪ L2)* and L2* ⊆ (L1 ∪ L2)*.

Therefore, L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Second, we need to prove that L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Every string that belongs to L1* or L2* also belongs to (L1 ∪ L2)*.

Thus, we have L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Therefore, (L1 ∪ L2)* = L1* ∪ L2*.

Therefore, we have proved all the given conditions.

(b)It is true that condition 3 holds for all regular languages L1 and L2.

This can be proved by using the fact that the union of regular languages is also a regular language and the Kleene star of a regular language is also a regular language.

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Answer:

4a+4

Step-by-step explanation:

12a+8-8a-4

4a+4

Answer:

4(a+1)

Step-by-step explanation:

Need to expand first

= 12a + 8 - 8a - 4

Group like terms

= 12a - 8a + 8 - 4

Solve

= 4a + 4

Can factorize

= 4(a + 1)

The total number of red marbles in the vase are 10.

A ratio is described as a comparison between two amounts with the same unit to determine the amount of 1 quantity is contained in the other. Ratios are divided into two sorts.

The first is a part-to-part ratio, and the second is a part-to-whole ratio. The part-to-part ratio expresses the relationship between 2 separate entities or groupings.

Now, according to the question;

Let 'x' be the red marbles in the vase.

Let 'y' be the orange marbles in the vase.

The total number of marbles in the vase are 60

x  + y = 60 (equation 1)

The ratio of red marbles to orange ones is 1:5.

Thus, x/y = 1/5

cross multiplying;

5x = y

or y = 5x

substitute the value of y in equation 1;

x  + y = 60 (equation 1)

x  + 5x = 60

6x = 60

x = 10  (red marbles)

Thus, the number of red marbles in the vase are 10.

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Answer:

9. The 5 bags for $25 is a better deal

10. You would need $16.72

Step-by-step explanation:

9. Divide 25/5=5 and 42/7=6

The 5 bags for $25 is a better deal because it's the smallest answer.

10. Divide $12.54/6=$2.09 per book

Multiply $2.09*8=$16.72 for 8 books

Answer:

9. The 5 bags for $25.00 is the best offer.

10. 8 books is $16.72.

Step-by-step explanation:

9. Because you have to find out how much each bag costs so you divide the total cost by the ammount of bags. When you do this you get $5 dollars a bag for the 5 bags and $6 dollars a bag for the 7 bags.

10. You need to find out how much each book cost so you divide the amount of money by 6 and you get $2.09. Then you multiple 8 by 2.09 and you get 1672 but then you have to move the decimal to the left two times and you end up with $16.72.

The slope of a linear function is always the same thus the missing values are y₂ = 5 , y₃ = 8, and y₄ = 12.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

As per the given table,

Take (2,3) and (6,19)

Slope = (19 - 3)/(6 - 2) = 4

To maintain the same slope,

(y₂ - 3)/(3 - 2) = 4

y₂ = 5

(y₃ - 4)/(4 - 3) = 4

y₃ = 8

(y₄  - 8)/(5 - 4) = 4

y₄ = 12

Hence "The slope of a linear function is always the same thus the missing values are y₂ = 5, y₃ = 8, and y₄ = 12".

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Answer:

441

I dont think I need to explain this one

Answer:

katelyn

Step-by-step explanation:

you divide distance by time to get rate, and katelyn has a faster rate because 210/3 is more than 540/8

Answer:

Katelyn drove faster

t=d/s

s=d/t

d=s*t

Step-by-step explanation:

s=d/t is what we are using to find the speed

Katelyn- 210/3=70

Samantha-540/8=67.5

70>67.5

Katelyn drove faster

Rotation is the rigid type of transformation which is equivalent to the two reflections across intersecting lines.

Therefore, the rigid type transformation which is equivalent to two reflection across the intersecting lines is called rotation.

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Answer:

q = 4 mi

Step-by-step explanation:

Using the sine or cosine ratio in the right triangle and the exact value

sin45° = \(\frac{1}{\sqrt{2} }\) , then

sin45° = \(\frac{opposite}{hypotenuse}\) = \(\frac{q}{4\sqrt{2} }\) = \(\frac{1}{\sqrt{2} }\) ( cross- multiply )

\(\sqrt{2}\) × q = 4\(\sqrt{2}\) ( divide both sides by \(\sqrt{2}\) )

q = 4

Answer:

$6 each

Step-by-step explanation:

the first 10 multiples of 3 are 3,6,9,12,15,18,21,24,27,30

3×2=6

6+6=12

I got you bro!

Answer:

{x,y} = {4-1}

You might be wondering how I got this, well here are the steps:

System of Linear Equations entered :

  [1]    2x + y = 7

  [2]    x - 2y = 6

Graphic Representation of the Equations :

   y + 2x = 7        -2y + x = 6  

Solve by Substitution :

// Solve equation [2] for the variable  x  

 [2]    x = 2y + 6

// Plug this in for variable  x  in equation [1]

  [1]    2•(2y+6) + y = 7

  [1]    5y = -5

// Solve equation [1] for the variable  y  

  [1]    5y = - 5

  [1]    y = - 1

// By now we know this much :

   x = 2y+6

   y = -1

// Use the  y  value to solve for  x  

   x = 2(-1)+6 = 4

Solution :

{x,y} = {4,-1}

I hope this has helped you and have a wonderful day!

5 : 3  is the ratio of cooking times for the rice to pasta .

What does a math ratio mean?

When b does not equal 0, an ordered pair of numbers a and b, represented as a / b, is said to be a ratio. A percentage is an equation in which two ratios are made equal to one another.

                                    You might express the ratio as 1: 3 for instance, if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.

Rice takes 20 minutes to cook

pasta takes 12

the ratio of cooking times for the rice to pasta = 20  :  12

                                                                            = 5 : 3

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Given two points, we can find the equation of a line using the following formula

In our case,

The answer is y=8x/7-9/7

Answer:

H. reflection

10

The slope of all parallel lines is equal. 10 is the slope in the equation y = 10x - 20, so the slope of a line parallel to it has to be 10 also.

the data in this scenario is matched by couple, the samples are dependent, and statistical analyses should take into account this dependency when comparing the mean age at which men marry and the age at which women marry.

In this scenario, where the data is collected from a random sample of 24 couples and the age of the man and the age of the woman in each couple are recorded, the samples are dependent.

The reason the samples are dependent is because the data is matched by couple. Each couple's age is linked or paired with their partner's age, forming dependent pairs. The age of a man in a couple is associated with the age of the woman in that same couple.

In contrast, independent samples would involve collecting data from two separate groups that are not paired or linked in any way. Each group would have its own set of data, and there would be no connection or dependency between the data points in one group and the data points in the other group.

Since the data in this scenario is matched by couple, the samples are dependent, and statistical analyses should take into account this dependency when comparing the mean age at which men marry and the age at which women marry.

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