Question 1
Given that AD is parallel to BC, determine the measurement of ∠B in the trapezoid.
Responses
A 135°135°
B 65°65°
C 115°115°
D 95°95°
Question 2
Determine the value of y.
Responses
A 70°70°
B 115°115°
C 105°105°
D 110°

Answer:

i think its x=16 or x=11

Step-by-step explanation:

∠2 = 90 - 42 = 48 degrees

3x degrees = 48 degrees

3x = 48

x = 16

16

The average weight of the given points is (-1, 0.33).

Given that,

The weights for A, B, C  is 1, 1,  1 respectively

to find average weight,

Each number in the data set is multiplied by a predefined weight before the final computation is completed when calculating a weighted average.

Now the coordinate of points A, B ,C are,

(-2, -9) , (1, 2), (-2, 8) respectively

So, we have,

w₁ = w₂ = w₃ = 1

Now,

weighted average = (w₁ × x₂+ w₂ × x₂ + w₃ × x₃) / (w₁ + w₂ + w₃),

where w is the weight of the ith point, and x is the coordinate of the ith point.

Substituting the given values, we get:

weighted average = (1 × (-2, -9)  + 1 × (1, 2) + 1 × (-2, 8)) / (1 + 1 + 1)

= (-3, 1) / 3

Hence the average weight  = (-1, 0.33).

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The best estimate of ∫(4 to 11) f(x) dx using a trapezoidal sum with 3 subintervals can be found by dividing the interval into three equal subintervals and applying the trapezoidal rule.

The trapezoidal rule is a method for approximating the definite integral of a function over an interval. It involves dividing the interval into subintervals and approximating the area under the curve by the sum of trapezoids formed between adjacent points.

In this case, we are given the interval from 4 to 11 and want to estimate the integral of f(x) over this interval using a trapezoidal sum with 3 subintervals. To do this, we divide the interval into three equal subintervals: [4, 6], [6, 8], and [8, 11]. Then, we apply the trapezoidal rule to each subinterval and sum up the results.

The trapezoidal rule states that the area under each subinterval can be approximated as (b-a) * (f(a) + f(b)) / 2, where a and b are the endpoints of the subinterval.

By applying the trapezoidal rule to each subinterval and summing the results, we obtain the best estimate of the integral.

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Answer:

B C and D

Step-by-step explanation:

Answer:

2π=6.2831853071795864769252867

Answer:

12/9 = 4/3

Step-by-step explanation:

write it as a fraction, then simplify by dividing numerator and denominator by 3.

Answer:

4/3 or 1.3

Step-by-step explanation:

12 divided by 9

Answer:

Software comprises the entire set of programs, procedures, and routines associated with the operation of a computer system. The term was coined to differentiate these instructions from hardware—i.e., the physical components of a computer system.

Answer:

$2.92 would be the cost per pound

The number of elements that are there in the sample space is 6.

It should be noted that sample space simply means the collection or the set of possible outcomes that are in the random experiment.

From the information, in the special deck of cards has 10 cards. four are green, three are blue, and three are red.

Therefore, the sample space will be:

S = GH, GT, BH, BT, RH, RT

It should be noted that H and T represents the head and tail.

Therefore, there are 6 elements.

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Answer:

60 inches

Step-by-step explanation:

the least common multiple of 12 and 10 is 60

you can use the prime factorization tree or a list method

1st multiple of 10: 10                               1st multiple of 12: 12

1st multiple of 10: 20                               1st multiple of 12: 24

1st multiple of 10: 30                               1st multiple of 12: 36

1st multiple of 10: 40                               1st multiple of 12: 48

1st multiple of 10: 50                               1st multiple of 12: 60

1st multiple of 10: 60                              

You can stop when a common multiple is reached

A) The average cost function C(x) can be obtained by dividing the total cost function by the quantity x:

C(x) = (0.05x^2 + 22x + 340) / x

Simplifying this expression, we get:

C(x) = 0.05x + 22 + 340/x

Therefore, the average cost function C(x) is given by 0.05x + 22 + 340/x.

B) To find the critical values of C(x), we need to determine the values of x where the derivative of C(x) is equal to zero or is undefined. Taking the derivative of C(x) with respect to x, we have:

C'(x) = 0.05 - 340/x^2

Setting C'(x) equal to zero and solving for x, we find:

0.05 - 340/x^2 = 0

Rearranging the equation, we have:

340/x^2 = 0.05

Simplifying further, we get:

x^2 = 340/0.05

x^2 = 6800

Taking the square root of both sides, we find two critical values:

x = ± √(6800)

Therefore, the critical values of C(x) are x = √(6800) and x = -√(6800)

C) Using interval notation, we can express the domain of x where the function C(x) is defined. Given that the range of x is from 0 to 150, we can represent this interval as (0, 150).

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The annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.

To determine the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily, we can use the formula:
A = P(1 + r/n)^(nt)
Where:
A = the final amount
P = the principal amount (initial investment)
r = the annual interest rate (6.63%)
n = the number of times interest is compounded per year (365 for daily compounding)
t = the number of years (8)
Plugging in the values, we have:
A = 1200(1 + 0.0663/365)^(365*8)
Calculating this, we get A ≈ $1,968.49.
To find the annual percentage yield, we need to find the interest earned:
Interest = A - P = $1,968.49 - $1200 = $768.49
Now, we can find the annual percentage yield using the formula:
Annual percentage yield = (Interest / P) * 100
Plugging in the values, we have:
Annual percentage yield ≈ ($768.49 / $1200) * 100 ≈ 64.04%
Therefore, the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.

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Answer:

3Y - 4X - 4

Step-by-step explanation:

Answer:

10, 12, 14

Step-by-step explanation:

Hi there!

Let x be equal to the smallest integer.

Let (x+2) be equal to the next even integer.

Let (x+4) be equal to the largest even integer out of the three.

We're given:

⇒ smallest number + (2 × middle number) = 20 + largest number

Construct an equation:

\(x+2(x+2)=20+(x+4)\)

Combine like terms:

\(x+2x+4=20+x+4\\3x+4=x+24\\2x=20\\x=10\)

Therefore, the smallest integer is 10, making the next two even integers 12 and 14.

I hope this helps!

Based on the provided question, it seems like you are asking about the most efficient evaluation method, either by hand or using a computer. To determine which method is the most suitable, you need to consider the complexity of the evaluation process and the number of alternatives.

Using a computer is generally faster and more accurate when dealing with large datasets or complex calculations. On the other hand, evaluating by hand may be more suitable for smaller datasets or simpler calculations. It can provide a more hands-on approach, allowing for a deeper understanding of the evaluation process. However, this method is generally more time-consuming and prone to human error.

To select the most appropriate evaluation method, consider the complexity of the task and the available resources. If the evaluation involves a large amount of data or complex calculations, using a computer would likely be the most efficient choice. However, if the task is relatively simple or involves a smaller dataset, evaluating by hand may suffice. In conclusion, the choice between evaluating by hand or using a computer depends on the complexity of the task and the available resources. Consider these factors to determine the most suitable method.

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Answer:

well if she was paid equally each hour it would've been $13.50, so I'd pick C since its closest

\(\large\huge\green{\sf{Question:-}}\)

\(\large\huge\green{\sf{Answer:-}}\)

\((1).(4v-7)(4v+7) \\ formula : - \\ (a - b)(a + b) = (a {}^{2} - b {}^{2} ) \\ therefore.. \\ (4v-7)(4v+7) = \\ (4v) {}^{2} - (7) {}^{2} \\ 16v {}^{2} - 49\)

..

\((2). \: (1+3p)(1-3p) \\ \:formula : - \\ (a + b)(a - b) = (a {}^{2} - b {}^{2} ) \\ therefore..(1) {}^{2} - (3p) {}^{2} \\ = 1 - 9p {}^{2} \)

...

\((3)..(a+5) {}^{2} \\ formua : - \\ (a + b) {}^{2} = a {}^{2} + 2ab + b {}^{2} \\ (a+5) {}^{2} = {a}^{2} +( 2 \times a \times 5) + 5 { }^{2} \\ (a+5) {}^{2} = {a}^{2} + 10a + 25\)

(4.)

\((2w+5)³ \\ formula :- \\ (a+b) {}^{3} =a3+3a {}^{2} b+3ab {}^{2} +b {}^{3} . \\ = (2) {}^{3} + 3 \times (2w) {}^{2} \times 5 + 3 \times 2w \times (5) {}^{2} + (5) {}^{3} \\ = 8 + 60w {}^{2} + 150w + 125\)

(5).

(3m-2)³

= (3m)³-(2)³-[ 3x (3m)² x (2) ]+ [ 3x (3m) x (2)²] -(2)³

= 27m³- 8 - 84m²+36m -8

(a - b)³ = a³ - 3a²b + 3ab²- b³

(6)

(2x-3)(x²-4x+4)

=2x(x²-4x+4) -3(x²-4x+4)

=2x³-8x²+8x -3x²+12x -12

=2x³-11x²+20x -12

________________________________

\(\large\huge\green{\sf{Question:-}}\)

\(\large\huge\green{\sf{Given:-}}\)

\(\large\huge\green{\sf{ToFind:-}}\)

\(\large\huge\green{\sf{FormulaRequired:-}}\)

\(\large\huge\green{\sf{Solution:-}}\)

we know

(a + b)³ = a³ + 3a²b + 3ab²+ b³

:- (3x+1)³= (3x)³+ [ 3 x (3x)² x (1) ]

+ [ 3 x (3x) x (1)²] +(1)³

= 27x³+ 27x²+ 9x +1

☆

Answer:

dgdhjriririjeieheurur

The first term of the arithmetic progression is 5

An arithmetic sequence can simply be defined as a sequence of numbers or terms in which the differences between successive or consecutive terms are always equal.

The formula for the nth term of an arithmetic sequence is expressed as;

Tn = a + (n-1)d

Where;

Given that the first term of the sequence is a, the 43rd term is 26 and the common difference is 1/2

Substitute the values into the formula

26 = a + (43 -1)1/2

expand the bracket

26 = a + (42)1/2

Multiply through

26 = a + 21

collect like terms

a = 26 - 21

a = 5

Thus, the value is 5

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The specific value will depend on the range of y and the function cos(\(y^3\)).

To evaluate the double integral, we need to integrate with respect to both x and y over the given region bounded by y = 2, y = \(x^{2/4\), and the y-axis.

The region of integration is a triangle in the y-x plane, bounded by y = 2, y = \(x^{2/4\), and the y-axis. Let's denote this region as D.

First, we will integrate with respect to x, keeping y as a constant. The limits of x will be determined by the curves y = 2 and y = \(x^{2/4\). For y = 2, x will range from 0 to 2, and for y = \(x^{2/4\), x will range from 0 to 2√y.

So the inner integral with respect to x will be:

∫[0 to 2√y] 5\(x^3\)cos(\(y^3\)) dx

Next, we will integrate the above expression with respect to y over the range of y = 0 to y = 2, since the limits of y are determined by the region D.

So the final double integral will be:

∫[0 to 2] ∫[0 to 2√y] 5\(x^3\)cos(\(y^3\)) dx dy

This double integral can be evaluated using standard techniques of integration, such as substitution or integration by parts, to obtain the numerical value of the integral. Note that the specific value will depend on the range of y and the function cos(\(y^3\)).

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Considering the perimeter of the trapezoid, the set-builder representation of the possible values for the length of the sides labeled m is:

{m | m > 6}.

The perimeter of a polygon is calculated by the sum of the lengths of all the outer edges of the figure.

In the context of this problem, these measures of the outer edges are given as follows:

Hence the perimeter of the trapezoid is given as follows:

P = 6 + 10 + m + m = 16 + 2m.

The perimeter is greater than 28, hence the inequality is:

P > 28.

16 + 2m > 28. (replacing the equation for P into the inequality).

2m > 12

m > 12/2

m > 6.

The set-builder notation of this interval is:

{m | m > 6}.

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the average waiting time cannot be determined when all five checkout lanes are being used.

To calculate the average waiting time when all five checkout lanes are being used, we can use queuing theory and the Little's Law formula.

Little's Law states that the average number of customers in a system (L) is equal to the average arrival rate (λ) multiplied by the average time a customer spends in the system (W).

L = λ * W

Given:

Number of checkout lanes (m) = 5

Average checkout time per customer (μ) = 3 minutes (since each clerk takes 3 minutes on average to checkout a customer)

Arrival rate (λ) = 70 customers per hour

First, we need to calculate the arrival rate per lane when all five lanes are being used. Since there are five lanes, the arrival rate per lane will be λ/m:

Arrival rate per lane = λ / m

= 70 customers per hour / 5 lanes

= 14 customers per hour per lane

Next, we can calculate the average time a customer spends in the system (W) using the formula:

W = 1 / (μ - λ)

where μ is the average service rate and λ is the arrival rate per lane.

W = 1 / (3 - 14)

W = 1 / (-11)

W = -1/11 (since the service rate is smaller than the arrival rate, resulting in negative waiting time)

However, negative waiting time is not meaningful in this context. It indicates that the system is not stable or the service rate is insufficient.

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Answer:

7r is the correct answer

Step-by-step explanation:

7 x 8 = 56

Answer:

-23m-18m^4

Step-by-step explanation:

-10m+2m^4-13m-20m^4

(-10m+-13m)+(2m^4-20m^4)

-23m+-18m^4

-23m-18m^4

If this helps please mark as brainliest

The 90% confidence interval for the difference in the population means is -2.51 to 0.31

From the question, we have the following parameters that can be used in our computation:

xˉ₁ = −17.1

s₁² = 8.4

n₁ = 22

​xˉ₂ = −16.0

s₂² = 8.7

n₂ = 24

Calculate the pooled variance using

P = (df₁ * s₁² + df₂ * s₂²)/df

Where

df₁ = 22 - 1 = 21

df₂ = 24 - 1 = 23

df = 22 + 24 - 2 = 44

So, we have

P = (21 * 8.4 + 23 * 8.7)/44

P = 8.56

Also, we have the standard error to be

SE = √(P/n₁ + P/n₂)

So, we have

SE = √(8.56/22 + 8.56/24)

SE = 0.86

The z score at 90% CI is 1.645, and the CI is calculated as

CI =  (x₁ - x₂) ± z * SE

So, we have

CI = (-17.1 + 16.0) ± 1.645 * 0.86

This gives

CI = -1.1 ± 1.41

Expand and evaluate

CI = (-2.51, 0.31)

Hence, the confidence interval is -2.51 to 0.31

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Answer:

1,2,3,4,5,6,10,12,15,20,60

To calculate how much Brianne needs to save each month, we'll subtract her current savings and her monthly income from her total expenses.

1. Total expenses:

  - Airfare: $1500

  - Backpack: $150

  - Spending money: $1000

  Total expenses: $1500 + $150 + $1000 = $2650

2. Current savings: $40

3. Monthly income:

  - Job at Porto's: $50/week * 4 weeks = $200/month

  - Extra chores: $1200/month

  Total monthly income: $200 + $1200 = $1400

4. Amount needed to save each month:

  Total expenses - Current savings - Monthly income = $2650 - $40 - $1400 = $1210

Therefore, Brianne needs to save $1210 each month to reach her total expenses for the European trip leaving in 5 months.

If she wanted to leave in 3 months instead, she would have less time to save. In that case, the calculation would be as follows:

1. Total expenses: $2650

2. Current savings: $40

3. Monthly income: $1400

4. Number of months: 3

5. Amount needed to save each month:

  (Total expenses - Current savings) / Number of months

  = ($2650 - $40) / 3

  ≈ $870 / 3

  ≈ $290

Therefore, if Brianne wanted to leave in 3 months, she would need to save approximately $290 each month to reach her total expenses for the European trip.

Answer: b

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

I did a little bit of internet research.

Answer:

16, and 40 for the first chart

Step-by-step explanation:

Answer:

1. 63

2.

3. 117

4.

Step-by-step explanation:

gimme some time to do 2 and 4

Answer:

A. 4 (any number over 3)

B. 1

C. 2

Step-by-step explanation:

A. It needs to equal more than 11, so the fraction would have to be greater than 1.

B. 5*1/8 = 0.625

C. Fraction has to equal 1, 2/2 is equal to 1.

Answer:

ok so first lets find halve of 96

96*1/2=53

then lets add these together

96+53=149

149

Hope This Helps!!!