36 letters in 6 minutes

Answer: From part b, we know that the number of sides in my envelope is t + q = 10 + 6 = 16, and the number of sides in my partner's envelope is 2t - q = 20 - 6 = 14.

To determine the number of sides in both envelopes combined, we add these values: 16 + 14 = 30.

Therefore, the combined number of sides in both envelopes is 30.

Step-by-step explanation:

The quantity of gas that was consumed in the first 3 hours is; 6 gallons.

As evident in the task content;

Speed refers to the magnitude of the velocity or the rate distance is traversed in a given time.

the speed of the vehicle = 60 miles per hour

the quantity of gasoline = 10 gallons.

Since G (t) = 10 - 2t

When t = 3

G (3) = 10 - 2(3)

G(3) = 4 gallons

Ultimately, the quantity of gas consumed in the first 3 hours is;

10 gallons - 4 gallons

= 6 gallons.

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Answer:

-45

Step-by-step explanation:

Answer:

-45, just take off the absolute bars

Step-by-step explanation:

Answer:

Rectangle pyramid

What is a rectangle pyramid ?

A rectangular pyramid is a pyramid, which has a rectangular-shaped base. If we look at the bottom view of this pyramid, it looks like a rectangle. Hence, the base has two parallel sides equal.

A pyramid crowns at a point on top of the base, which is known as the apex. A rectangular pyramid can be a right pyramid or oblique pyramid. If it is a right rectangular pyramid, then the apex lies right over the center of the base and if it is an oblique rectangular pyramid, the apex is not directly over the center of the base, but at some angle from the center.

Apart from the rectangular pyramid, there are other types of pyramids based on the shape of their bases, such as:

1) Triangular Pyramid

2) Square Pyramid

3) Pentagonal Pyramid

4) Hexagonal Pyramid

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The next number in the sequence is 47, 1, and 27.

A series of numbers is called a number series. We must identify the rules that lead to the formation of a number series in order to answer the questions about number series. The questions that might arise from these topics are as varied as these series themselves.

One possible pattern in this sequence is that each number is the reverse of the sum of the digits of the previous number, followed by the next odd number. Applying this pattern to the given sequence, we have:

The reverse of 63 is 36. The sum of the digits of 63 is 6 + 3 = 9. Therefore, the next number is 36 + 9 = 45, followed by the next odd number, which is 47. So the next number is 47.

The reverse of 00 is 00. The sum of the digits of 00 is 0 + 0 = 0. Therefore, the next number is 00 + 0 = 0, followed by the next odd number, which is 1. So the next number is 1.

The reverse of 22 is 22. The sum of the digits of 22 is 2 + 2 = 4. Therefore, the next number is 22 + 4 = 26, followed by the next odd number, which is 27. So the next number is 27.

Therefore, the next number in the sequence is 47, 1, 27.

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The detail that best suppοrts the inference that the autο manufacturing industry suppοrts green sοlutiοns is-

"Pyrοlysis generates lοw-cοst energy that can be used in the autοmοbile manufacturing industry".

The pyrοlysis prοcess is the thermal decοmpοsitiοn οf materials at elevated temperatures, οften in an inert atmοsphere.

Given is that an engineer at an envirοnmentally minded technοlοgy cοmpany has cοme up with a prοcess tο cοnvert tire waste frοm the autοmοbile industry intο clean energy.

The detail that best suppοrts the inference that the autο manufacturing industry suppοrts green sοlutiοns is -

"Pyrοlysis generates lοw-cοst energy that can be used in the autοmοbile manufacturing industry".

Therefοre, the detail that best suppοrts the inference that the autο manufacturing industry suppοrts green sοlutiοns is -

"Pyrοlysis generates lοw-cοst energy that can be used in the autοmοbile manufacturing industry".

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By answering the above question, we may state that Graphical equation depictions of exponential development in statistical charts, such as bar charts, pie charts, and line graphs. a triangle-shaped logarithmic graph

When two assertions are connected by a mathematical equation, the equals symbol (=) is used to denote equality. In algebra, a mathematical statement that establishes the equivalence of two mathematical expressions is referred to as an equation. In the equation 3x + 5 = 14, for instance, the equal sign places a space between the integers 3x + 5 and 14. To comprehend the connection between the two phrases written on the opposing sides of a letter, utilise a mathematical formula. Frequently, the logo and the specific piece of software are the same. as in, for instance, 2x - 4 = 2.

Mathematicians use graphs to visually express or chart facts or values in a logical way. Usually, a graph point will show the relationship between two or more objects. A graph is a non-linear data structure made up of nodes, also known as vertices, and edges. The nodes, sometimes referred to as vertices, should be joined with glue. Vertices in this graph are 1, 2, 3, and 5, whereas edges are 1, 2, 1, 3, 2, 4, and (2.5). (3.5). (4.5). Graphical depictions of exponential development in statistical charts, such as bar charts, pie charts, and line graphs. a triangle-shaped logarithmic graph

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Answer: 126 Spelling Words

Answer:

Step-by-step explanation:

On the first day, Ms. Dubacek gave 6 new spelling words.

On each subsequent day, she gave an additional 3 new spelling words.

Therefore, on the second day of school, she gave a total of 6 + 3 = 9 new spelling words.

On the third day of school, she gave a total of 6 + 3 + 3 = 12 new spelling words.

We can see a pattern emerging here: on each day, she gives 6 more words than the previous day.

So on the 21st day of school, she will have given a total of:

6 + (9 + 12 + 15 + ... + 60)

To find the sum of this arithmetic series, we can use the formula:

S = n/2 * (a + l)

where:

S = the sum of the series

n = the number of terms in the series

a = the first term in the series

l = the last term in the series

In this case, we have:

n = 19 (since we're counting from the second day of school to the 21st day)

a = 9 (since that was the total number of spelling words given on the second day)

l = 60 (since that will be the total number of spelling words given on the 21st day)

So, plugging in these values, we get:

S = 19/2 * (9 + 60) = 19/2 * 69 = 655.5

Therefore, by the end of the 21st day of school, Ms. Dubacek will have given her students a total of 6 + 655.5 = 661.5 new spelling words (rounded to the nearest whole number, this is 662).

Answer:

I'd say edges

Answer:

Step-by-step explanation:

To find the hiker's elevation above sea level upon reaching High Point Vista, we need to add up the elevation gain from the start of the trail to High Point Vista. We can use the table to do this:

Elevation gain from start to Old Cabin: -32.78 ft (negative because the hiker loses elevation)

Elevation gain from Old Cabin to Ruby Falls: 8634 ft

Elevation gain from Ruby Falls to Thunder Gorge: -14725 ft (negative because the hiker loses elevation)

Elevation gain from Thunder Gorge to High Point Vista: 346.47 ft

To find the hiker's elevation above sea level at High Point Vista, we add up these elevation gains:

179 ft (start) - 32.78 ft + 8634 ft - 14725 ft + 346.47 ft = -5668.31 ft

The negative value means that the hiker is below sea level at High Point Vista, which is not possible. Therefore, there must be an error in the elevation gain listed for one of the points of interest. It's possible that the elevation gain for Ruby Falls is incorrect, as it seems unlikely that the hiker would gain more than 8000 ft in elevation between Old Cabin and Ruby Falls. Without more information, it's difficult to say for sure where the error lies.

Answer: 80 ft squared

Step-by-step explanation:

For the square, the formula is base times height which, in this case, are both 8. 8 x 8 = 64. Next, the triangle below is (8 x 4)/2 because the formula for a triangle is base x height divided by 2. 8  x 4 = 32 divided by 2 is 16.

64 + 16 = 80

So, your answer will be 80ft squared

Hope this helped!

The area of the sector is 37.68ft²

The region inside the portion of the circle formed by two radii and an arc is known as the area of a sector. It just covers a small portion of the circle's total area.

Area of a sector

The area of a sector can be gotten using the expression (θ/360º) × π r ² where

Using the expression we will get,(270/360) x 3.14 x 4²

From the solution, we will find the area to be 37.68ft²

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The probability of drawing a vowel, replacing it, and then drawing a Z is 5/676.

The alphabet consists of 26 letters, and 5 of them are vowels (A, E, I, O, U). Hence, 5/26 of the time, a vowel will be drawn in the initial draw.

The likelihood of drawing a Z on the second draw is also 1/26, due to the fact that the card is changed after the first draw.

We can multiply the probabilities to determine the likelihood that both of these occurrences will occur:

P(Draw a Z after a vowel is drawn) = P(Draw a vowel) P(Draw a Z after the vowel is replaced) = (5/26) (1/26) = 5/676

As a result, the likelihood of drawing a Z after substituting a vowel is 5/676.

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The coordinates of point A′ are (4.5, 3), the answer is A′(4.5, 3).

A triangle is a polygon with three sides and three angles. It is a two-dimensional figure that is formed by connecting three non-collinear points. The sum of the angles in a triangle is always 180 degrees, and the side opposite to the largest angle is the longest side of the triangle, while the side opposite to the smallest angle is the shortest side.

In this problem, we are given a triangle ABC with vertices at A(3, 2), B(2, −1), C(−2, 1), and we are asked to dilate it using a scale factor of 1.5 to create triangle A′B′C′.

Dilation is a transformation that changes the size of a figure but not its shape. To dilate a figure, we multiply the coordinates of each point by a scale factor. In this case, we are given a scale factor of 1.5, so we will multiply each coordinate of triangle ABC by 1.5 to get the coordinates of triangle A′B′C′.

To find the vertex of point A′, we need to apply the dilation to the coordinates of point A(3, 2). Multiplying the x-coordinate by 1.5, we get 1.5 × 3 = 4.5. Multiplying the y-coordinate by 1.5, we get 1.5 × 2 = 3.

Therefore,  the coordinates of point A′ are (4.5, 3), the answer is A′(4.5, 3).

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Answer:25% of the number is 30

Step-by-step explanation:

Let's call the number we're looking for "x". We can use the information given in the problem to set up two equations:

10% of x is 12:

0.1x = 12

35% of x is 42:

0.35x = 42

Now we can solve for x:

0.1x = 12

x = 120

0.35x = 42

x = 120

We get the same value for x from both equations, which confirms that our solution is correct. Now that we know x = 120, we can find 25% of that number:

25% of 120 = 0.25 x 120 = 30

Therefore, 25% of the number is 30.

Answer:

Step-by-step explanation:

95 hours

The converse of the [tex]H[/tex]inge theorem indicates that the angle subtended by the segment [tex]\overline{LM}[/tex], (∠K) which is less than the length of the segment [tex]\overline{OP}[/tex], will be less than the measure of the angle subtended by the segment [tex]\overline{OP}[/tex], which is 90°

The h-i-n-g-e theorem, which is also known as the open mouth theorem states that two triangles that have a pair of corresponding congruent sides and which have different measure of the included angle between the sides, then the third side of the triangle with the larger included angle will be longer.

The h-i-n-g-e theorem can be deduced from the triangle inequality theorem.

The corresponding congruent sides in the two triangles are;

[tex]\overline{KL}[/tex] is congruent to [tex]\overline{ON}[/tex], [tex]\overline{KM}[/tex] is congruent to [tex]\overline{NP}[/tex]

[tex]\overline{LM}[/tex] = 7 is less than [tex]\overline{OP}[/tex] = 9

Therefore;

[tex]\overline{LM}[/tex] < [tex]\overline{OP}[/tex]

m∠N = 90°, therefore, the converse of the h-i-n-g-e theorem, indicates that the angle subtended by the segment [tex]\overline{LM}[/tex] is less than the angle subtended by the angle [tex]\overline{OP}[/tex], which is 90°

The angle ∠K is less than the angle ∠N

m∠K < m∠N = 90°

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The height of the pole is 336 feet.

The 24 foot shrub has a 6 foot shadow . The height of the pole that has an 84 foot shadow is as follows:

Hence. let's use proportion to find the height of the pole.

Therefore,

let

h = height of the pole

Hence,

24  /h = 6 / 84

cross multiply

6h = 84 × 24

6h = 2016

divide both sides by 6

h = 2016 / 6

h = 336 ft

Therefore,

height of the pole = 336 ft

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Answer:

Step-by-step explanation: OK so is A'B'C'D' a translation, rotation, or reflection of ABCD? OK so A'B'C'D' is a rotation i believe because like you i'm on the same thing. Is A"B"C"D" a translation, rotation, or reflection of A'B'C'D'? OK so A"B"C"D" is a reflection i believe i'm not really sure on that one. Suppose the measure of angle B is 89°. Which other angle must be 89°? OK so angle A, angle C, and angle B. But I really don't get what you trying to ask? Hope I kind of helped, like i said im in 8th grade and it is kind of hard for me too.

Answer:

Julia should buy at least 5 sets of glasses.

Step-by-step explanation:

The inequality will be

286 +6s ≥ 316

Solve for s to get s ≥ 5

The trigonometric ratios gives the values required.

The three main trigonometric ratios that we need are the sine the cosine and the tangent.

1) The hypotenuse is;

c^2 = 5^2 + 12^2

c = √5^2 + 12^2

c = 13

Then;

sin x + cos x

= 5/13 + 12/13

= 17/13

2) The adjacent is;

13^2 = x^2 + 5^2

x^2 = 13^2 - 5^2

x = √13^2 - 5^2

x = √ 169 - 25

x = 12

Cos p = 12/13

3) The adjacent is;

13^2 = x^2 + 12^2

x^2 = 169 - 144

x = 5

2sinx + 1/2Cos x

2(12/13) + 1/2 (5/13)

144/13 + 5/26

=293/26

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Therefore, the probability that at least one of the dice shows the number 2, given that the sum of the dice is 4, is 1 - (1/5) = 4/5, or 0.8, which is the probability that at least one of the two dice is a 2.

It is founded on the likelihood that something will occur. The rationale for probability is the central tenet of theoretical probability. For instance, there is a 12% chance that a coin will land on its head when flipped.

There are five possible ways to obtain a sum of 4 with two 6-sided dice: {(1,3),(2,2),(3,1),(2,1),(1,2)}.

Out of these five possible outcomes, there is only one outcome where neither of the dice show a 2, which is {(1,3)}.

Therefore, the probability that at least one of the dice shows the number 2, given that the sum of the dice is 4, is 1 - (1/5) = 4/5, or 0.8, which is the probability that at least one of the two dice is a 2.

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The probability that at least one of a pair of fair 6-sided dice shows the number 2, given that the sum of the dice is 4 is 1/3.

The measure of the likelihood or chance of an event occurring is known as Probability. It is a quantitative measure that ranges from 0 (indicating an impossible event) to 1 (indicating a certain event).

Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes in a given situation or experiment. Probability theory is a branch of mathematics that deals with the study of random events, and it is widely used in many fields such as statistics, physics, economics, finance, and more.

If the sum of the dice is 4, then the possible pairs are (1, 3), (2, 2), and (3, 1). Out of these three pairs, only one has at least one die showing the number 2, which is (2, 2).

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The required equivalent expression using the distributive property is: [tex]$$\boxed{21r + 49s - 28}$$[/tex]

This principle states that multiplying the sum of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.

Using the distributive property, we can distribute the factor of 7 to each term inside the parentheses:

7(3r + 7s - 4) = 7(3r) + 7(7s) - 7(4)

Simplifying each term:

= 21r + 49s - 28

Therefore, the equivalent expression using the distributive property is:

[tex]$$\boxed{21r + 49s - 28}$$[/tex]

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B] Ans ~

Given:-

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[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \small{ \star{ \boxed{ \rm{ \red{Volume \: of \: solid \: = lwh}}}}}[/tex]

[tex] \: [/tex]

[tex] \: [/tex]

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hope it helps! :)

Answer:7

Step-by-step explanation:

Sarah's age using the equation of the situation is 60 years.

A mathematical statement that establishes the equality of two expressions is known as an equation. Variables are elements in equations that can change or have different values assigned to them. Finding the value or values of the variable that make the equation true is the aim of equation solving. Several branches of mathematics and science employ equations to simulate real-world scenarios and examine the interactions between different variables.

Equations come in a variety of forms, including differential, quadratic, and linear equations. Algebraic methods can be used to solve some problems analytically, while numerical approaches or computer simulations may be necessary for others.

Let us suppose Sarah's age =a.

From the given situation we have:

64 = 4(a - 44)

64/4 = a - 44

16 = a - 44

a = 60

Hence, Sarah's age using the equation of the situation is 60 years.

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Answer:6cm

Step-by-step explanation:You can use the formulas  or  to solve for diameter using volume. I will use the first forumla for this problem.

Substitute 113 for "V"

Multiply in the parenthesis

Divide by pi (3.14)

678 ÷ 3.14 = 215.923567

Apply the exponent

d = 5.99907...

d = 6 cm

Answer:

the final price of Ray's laptop is 89.1% of the original price.

Step-by-step explanation:

To find the composite function that can be used to calculate the final price of Ray's laptop, we need to find the composition of the two functions given:

f(c) = 1.08c (function for calculating the price of the laptop with tax)

c(p) = 0.75p (function for calculating the sale price of the laptop)

We can find the composite function f(c(p)) by substituting c(p) into the formula for f(c):

f(c(p)) = 1.08c(p)

Substituting c(p) with 0.75p, we get:

f(c(p)) = 1.08(0.75p)

Simplifying, we get:

f(c(p)) = 0.81p

Therefore, the composite function that can be used to calculate the final price of Ray's laptop is f(c(p)) = 0.81p.

This means that to find the final price of the laptop, we need to take the original price, multiply it by 0.75 to get the sale price, and then multiply the sale price by 1.08 to add the sales tax. In other words, the final price is:

final price = f(c(p)) = 0.81p = 1.08(0.75p)

final price = 0.81p + 0.081p

final price = 0.891p

Therefore, the final price of Ray's laptop is 89.1% of the original price.

The number of times both spins will be even numbers is 25.

The probability of an occurrence is a figure that represents how likely it is that the event will take place. It is represented by a number between 0 and 1.

It is given that the spinner is spun twice.

The theoretical probability of both spins being even numbers is = [tex]\frac{9}{36}[/tex]

When the experiment is repeated 100 times, the number of times both spins come out to an even number =  [tex]\frac{9*100}{36}[/tex]

                                                           = [tex]25[/tex]

Therefore, the number of times both spins will be even numbers is 25.

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