2._____________is based on what actually occurred during such an event

The net area of the paper needed is 4.125 square feet.

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

Given, The gift is 1.5 feet tall and one of the bases is 9 inches = 0.75 by 0.5 feet.

Therefore the total surface area is,

= 2(1.5×0.5 + 1.5×0.75 + 0.75×0.5).

= 2(0.75 + 1.125 + 0.375).

= 2(2.25).

= 4.5 square feet.

Now, She left one of the bases uncovered which have an area of 0.375 square feet.

Therefore, the net amount of paper needed is = 4.5 - 0.375.

= 4.125 square feet.

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By simplifying the expression  (r − 6)(r − 2) + (r + 4)(r − 9) the value is 2r² - 13r - 24.

A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.

The operations +, -, or are used to combine a number or variable set into an expression. the difference between an algebraic expression and an arithmetic expression that just contains integers and mathematical operators.

Expression in math. A mathematical expression is the collection of mathematical symbols that results from the proper combination of numbers and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.

Given:

(r - 6)(r - 2) + (r + 4)(r - 9)

Expand

⇒ r² - 8r + 12 + r² - 5r - 36

Group like terms

⇒ r² + r² - 8r - 5r + 12 - 36

Add similar elements: -

2r² - 13r - 24

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Answer:

The function table for g(x) = 3x - 2 is as follows:

X Y -1 -5 0 -2 1 1 2 4 3 7 4 10 5 13

El nuevo sueldo, luego de un incremento del 25%, será $29,678.50

Recordar que si tenemos un número A, y lo incrementamos en un porcentaje X, entonces el nuevo número será:

A' = A*(1 + X/100%)

En este caso el valor inicial is $23,750, y lo incrementamos en un 25%, entonces el nuevo sueldo esta dado por la expresion de abajo.

A' = $23,750*(1 + 25%/100%)

A' = $23,750*(1.25) = $29,678.50

El núevo sueldo del empleado, luego del aumento, será $29,678.50.

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The rectangle QRST have the values for the respective angles and lengths as: m∠QRS = 90°, m∠QTR = 42°, m∠RTS = 48°, TR = 16, and QU = 8.

A rectangle has two diagonals that are the same(congruent) and they bisect each other. The rectangle have two pair of parallel sides which makes the angles formed by its diagonals alternate angles. And each interior angle of the rectangle is equal to 90°

m∠QRS = 90° {an angle of a rectangle}

m∠QTR and m∠TRS are alternate angles and are equal so;

m∠QTR = 42°

m∠RTS and m∠QTR are complementary angles are they sum up to 90° so;

m∠RTS = 90° - 42°

m∠RTS = 48°

lines TR and QS are diagonals of the rectangle and are equal so;

TR = 16

line segment TR bisect QU so;

QU = 16/2

QU = 8.

Therefore, we have the values for the respective angles and lengths of the rectangle as: m∠QRS = 90°, m∠QTR = 42°, m∠RTS = 48°, TR = 16, and QU = 8.

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Answer: 176 miles

First, multiply the fraction 44/100 by 400. After cross simplifying, you should get 176. 44% is nothing but 44 out of 100, which is why we multiplied by 44/100

The fractional form of the given percentage is 79/100.

Fraction is a comparison between two mathematical quantities or numbers in general.

The number which is being compared is called Numerator and the with whom it is compared is called Denominator.

In mathematical words, if a fraction is look like A/B where A and B are two numbers then A is called Numerator and B is called Denominator.

Percentage is the comparison of a quantity with respect to the number in  100.

Here given the percentage is 79 percent.

So 79 in 100

So the fractional form of the given percentage is = 79/100.

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The number of shorts are 22 and the number of t-shirts are 132.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Dot sells t-shirts ($3) and shorts ($4). In April, total sales were $484.

Let the number of shorts be s.

People bought 6 times as many t-shirts as shorts.

Let the number of t-shirts be 6s.

Now, the equation is 4×s+3×6s=484

4s+18s=484

22s=484

s=484/22

s=22

So, 6s =132

Therefore, the number of shorts are 22 and the number of t-shirts are 132.

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Answer:

Without additional information, it is impossible to answer this question as there is no information about the "she" or "record time" referred to in the question.

1.The probability of a driver having a conversation while driving only is 1/2

2. the probability that the student choose will have a dog but not a cat is 3/8

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Probability = sample space / total outcome

1. Probability of looking at and making conversation = probability of looking at phone × making conversation

= 3/10 = 6/10 × x

x = 3/10 ÷ 6/10

x = 3/10 × 10/6

x = 3/6 = 1/2

therefore the probability of making conversation while driving is 1/2

2. The total number of students = (18-6)+ (16-6)+6 + 4 = 12+10+6+4 = 32

The number of students that have dog alone = 18-6 = 12

therefore the probability of choosing a student with a dog but not a cat = 12/32

= 3/8

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Answer:

it is 16

Step-by-step explanation:

do 2x2x2x2 which will give you 16

The parametric equations are therefore: x is t, y is 1/3 * t, and z is t.

Response: x = t; y = 1/3; t; z = t

Given

At t = 0, r(t) equals f(t) * I + g(t) * j + h(t) * k.

(F (t0), G (t0), and H (t0))

r(t) = ln (t - 1) + (t + 2) * j + t * ln(tk) t * t * 0 = 1 Required Information is Missing

Calculate the parametric equations.

j + t * ln + (t - 1)/(t + 2) * ln + r(t) = ln(ti) (tk)

With regard to t, differentiate (t) = 1/t * I + 3/((t + 2) 2) * j + (ln(t) + 1) Let t=1 (i.e., e * t * t * 0 = 1)

r = 1/1 for prime (1). * I + 3/((1 + 2) ^ 2) * j + (ln(1) + 1) I + 3/(3 2) * k r prime (1) * j + (0 + 1) Prime (1) = I + 3/9 * K R * j + (1) (1) Prime (1) = I + 1/3 * j + * k r (1) I + 1/3 * j + k = * k r prime (1)

To find x, y, and z.

We utilise the following methods to find x, y, and z: r(t) = f(t) (t) * j + h (t) * k + I + g (t)

This suggests that:

prime r (1) * T = xi, yj, and zk

We therefore have:

I + 1/3 * j + k) = xi + yj + zk * t

it + 1/3 * jt + kt = xi + yj + zk.

In contrast:

xi = it

Divide by I x, y, and j to get 1/3 * jt.

Divide by j y = 3/9 * t zk = kt

Divided by k, z equals t.

The parametric equations are therefore: x = t, y = 1/3 * t, and z = t.

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Answer:

below

Step-by-step explanation:

Just put 25 where 'n' is and calculate = 1441 rabbits

At the end of the year there will be 356 rabbit.

Fibonacci sequence is a sequence, in which each number is the sum of the two preceding ones. The numbers in the Fibonacci sequence is the Fibonacci numbers.

Suppose a newly-born pair of rabbits, one male and one female, are put in a field.

Let [tex]f_{1},f_{2},f_{3} ,........f_{12}[/tex] represents the number of rabbit in the month 1, month2,....month12.

i.e., [tex]f_{1} =2, f_{2} =2[/tex]

At the end of its second month a female can produce another pair of

rabbits. i.e., [tex]f_{3}=4[/tex].

At the end of third month a parent female produce one pair and the daughter female produce one pair. i.e., [tex]f_{4} = 8.[/tex]

Similarly it goes on for 12 months.

Using fibonacii sequence, the general term is,

[tex]f_{n} =f_{n-1}+f_{n-2}[/tex]

for 5th month

[tex]f_{5} =f_{4} +f_{3} =8+4=12[/tex]

[tex]f_{6} =f_{5} +f_{4} =12+8=20[/tex]

[tex]f_{7} =f_{6} +f_{5} =20+12=32[/tex]

[tex]f_{8} =f_{7} +f_{6} =32+20=52[/tex]

[tex]f_{9} =f_{8} +f_{7} =52+32=84[/tex]

[tex]f_{10} =f_{9} +f_{8} =84+52=136[/tex]

[tex]f_{11} =f_{10} +f_{9} =136+84=220[/tex]

[tex]f_{12} =f_{11} +f_{10} =220+136=356.[/tex]

Hence, at the end of the year there will be 356 rabbit.

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Answer:y=4+2√(2)i  and y=4-2√(2)i

Step-by-step explanation:

y= 1/4(x-4)^2 +2

y=1/4(x²-8x+16)+2

y=(1/4)x²-2x+4+2

y=(1/4)x²-2x+6

using the Quadratic Equation

y=(-b±√(b²-4ac))/(2a)

Where a=1/4, b=-2, c=6

y=(-(-2)±√((-2)²-4(1/4)(6)))/(2(1/4))

y=(2±√(4-6))/(1/2)

y=4±2√(-2)

y=4±2√(2)i

y=4+2√(2)i  and y=4-2√(2)i

Answer:

-21

Step-by-step explanation:

Just replace b by 7 and x by -2

-b + 7x = -(7) + 7(-2) = -7 + -14 = -7-14 = -21

Answer:

B, Variable

A Variable is used in place of a number

=========================================

Work Shown:

[tex](7+3)^2+(14+12\div 6)\\\\(7+3)^2+(14+2)\\\\(10)^2+(16)\\\\100+16\\\\116\\\\\text{Therefore, }(7+3)^2+(14+12\div 6) = 116[/tex]

----------

Explanation:

We use the order of operations PEMDAS.

Parenthesis go first, so we evaluate each expression separately in the two parenthesis groupings.

In the second group, we have [tex]14+12\div6[/tex]. The [tex]12\div6[/tex] portion goes before addition. This is because division ranks higher than addition in PEMDAS shown above.

So this is why [tex]14+12\div6[/tex] becomes [tex]14+2[/tex]

After that we add up the stuff in the parenthesis to end up what is shown in the third step.

Then we square the 10 to get 100. The last step is to then add 100 to 16 to get 116 as the final answer.

You can type the original expression into a calculator to confirm the answer. Your calculator should have a division button labeled [tex]\div[/tex] but if not, then look for the slash symbol. Example: [tex]12 \div 6 = 12/6 = 2[/tex]

Answer:

AC ≅ DF

Step-by-step explanation:

1. Given
2. Given
3. The whole is greater than the part.
4. The whole is greater than the part.
5. If equals are added to equals, the wholes are equal.
6. Things which are equal to the same thing are equal to one another.
7. Equal lines are congruent

I Hope you got the answer right?

I'm guessing it's A or B

A, Because 125 Average Salary of each employee
B, Because 600 is how much he spends everyday.

I'm going to say
B, $600 spent in a day/daily expenses

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Answer:

A and B

For the given distribution, the Expectation, E(2X² + 3X) is 28.9

Now here we see that we have the distribution given to us

We need to find

E(2X² + 3X)

Now we know that

E(X) = ∑xp(x)

Hence we get

E(2X² + 3X) = 2[1 X 0.2  +  4 X 0.3  +  9 X 0.2  +  16 X 0.4] + 3[1 X 0.2  +         2 X 0.3  +  3 X 0.2  +  4 X 0.4]

= 2[0.2 + 1.2 + 1.8 + 6.4] + 3[0.2 + 0.6 + 0.6 + 1.6]

= 2 X 9.6  +  3 X 3

= 19.2 + 9

= 28.9

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Complete Question

(image Attached)

The  average rate of change over  1≤x≤5 is 6.140. The rate of change over 6≤x≤8 is -2.453. The change of rate decreases as x increases.

An expression is combination of variables, numbers and operators.

The exponential decay function to model the situation is f(x)=52(0.8)ˣ

where 52 is the initial value and 0.8 is the decay factor.

The given intervals are 1≤x≤5

f(1)=52(0.8)=41.6

f(5)=52(0.8)⁵=17.039

The average rate=17.039-41.6/5-1

=24.561/4

=6.140

Now let us find for the interval 6≤x≤8

f(6)=13.631

f(8)=8.724

Average rate=8.724-13.631/8-6

=-2.453

Hence, the  average rate of change over  1≤x≤5 is 6.140. The rate of change over 6≤x≤8 is -2.453. The change of rate decreases as x increases.

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Answer:

Below

Step-by-step explanation:

The zeroes are given as x = 0   and x = - 4

then the factorization would be   ( x - 0 )( x - - 4)   =   x (x+4) = f(x)

Answer:

I don't know ten?

Step-by-step explanation:

Maybe count how many numbers are covered by the blue line

Answer:

To guarantee that the two pieces you've already taken out connect, you'll need to take out at least four additional pieces. This is because the two pieces you've already taken out will each need to connect to two other pieces, so you'll need four pieces to make two connections. It's possible that fewer pieces might be required, but this is the minimum number of pieces that you need to guarantee the connection.

The graph of y=-3x-1 is given in the attachment.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given equation is  y=-3x-1

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

In the given equation slope is -3.

Let us find few values of x and y.

x    0    1    2     3    4

y    -1   -4   -7    -10  -13

Hence, the graph of y=-3x-1 is given in the attachment.

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Answer: y=1/2x+3

Step-by-step explanation: Put you ordered pairs on a graph and find your slope, once you find your slope you can finish the line then you can find the y-intercept

The statements that are FALSE about the Outliners are

(b) all outliers are influential points  ,   and

(d) outliers should usually be removed from a data  .

The statement "(b) all outliers are influential points"  is false because not all outliers are influential points, meaning that they do not have a significant effect on the results of a statistical analysis.

Whether or not an outlier is influential depends on the specific situation and the type of analysis being performed.

The statement "(d) outliers should usually be removed from a data " is false because removing all outliers from a data set is not always appropriate.

Outliers can provide important information and removing them can sometimes lead to the loss of valuable information. In some cases, outliers can be valid observations and should be kept in the data.

The given question is incomplete , the complete question is

Which of the following statements are false? (select all responses that apply) group of answer choices

(a) Outliers can not be leverage points

(b) all outliers are influential points

(c) all outliers are leverage points

(d) outliers should usually be removed from a data  .

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Answer:

Below

Step-by-step explanation:

1cm on the map is  500 m  

1 cm on the map is 50000 cm

1:50000