HELP PLEASE AND THANKS ASAP!!

a. The distance between the two bases of the trapezoid is 5 inches.

b. The length of the sides BD of the trapezoid is 5√2 inches

c. The perimeter of the trapezoid is 24 + 10√2 inches

m∠A = m∠B = 45°

The distance between the two bases is the height of the trapezium.

The trapezium is isosceles. Therefore,

BE = 1 / 2 (17 - 7) = 1 / 2 × 10 = 5 inches.

let

h = distance between the two bases.

Using trigonometric ratio,

tan 45°  = opposite / adjacent

tan 45° = h / 5

h = 5 tan 45°

h = 5 inches

The length BD can be found using Pythagoras theorem.

Therefore,

BD² = 5² + 5²

BD = √50

BD =  5√2 inches

The perimeter of the trapezium is the sum of all it sides. Therefore,

perimeter = 17 + 7 + 5√2 + 5√2

perimeter = 24 + 10√2 inches

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Answer:

n = 20

Step-by-step explanation:

26n = 520

To isolate n, multiply both sides by 1/26

n = 20

Answer:

0

Step-by-step explanation:

10x + 12 = 2(5x+6)

or, 10x + 12 = 10x + 12

or, 10x - 10x = 12 - 12

or, 0 = 0

.

. . so, 0 is the answer.

Step-by-step explanation:

10x + 12 = 2(5x + 6)

10x + 12 = 10x + 12

10x + 12 = 10x + 12

10x + 12 - 12 = 10x + 12 - 12

10x = 10x

10x - 10x = 10x - 10x

____________________________________________

A gram is a unit of weight, while a cup is a unit of volume. So, to convert between grams and cups, we need to know the density of the ingredient being measured. 400 grams of sugar has a volume of about 2.5 cups

When measuring ingredients for cooking or baking, it is often necessary to convert between different units of measurement. One common conversion is between grams and cups. To convert 400 grams to cups, we first need to find out the density of the ingredient in question. Density is the mass of an object per unit volume. The density of a substance can vary depending on factors such as temperature, pressure, and humidity. In general, the denser an ingredient is, the less volume it will take up for a given weight. For example, 400 grams of flour has a volume of about 2 cups. However, 400 grams of sugar has a volume of about 2.5 cups. This is because flour is less dense than sugar. Therefore, to convert 400 grams to cups, you will need to know the density of the ingredient in question.

It is worth noting that there is no exact conversion factor between grams and cups. There are different conversion factors for different ingredients, as the densities of different ingredients can vary. Therefore, it is important to consult a conversion chart or recipe that lists the appropriate conversion factor for the specific ingredient you are using.

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The correct sampling method described in the question is a stratified random sample among the simple random sample,  stratified random sample, cluster random sample and  Voluntary random sample

The sampling method described in the question is a stratified random sample.

In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.

In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.

Other sampling methods mentioned in the question are:

Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.

Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.

Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.

Therefore, the correct sampling method described in the question is a stratified random sample.

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Step-by-step explanation:

Given that,

The area of a blackboard is \(1\dfrac{1}{3}=\dfrac{4}{3}\ \text{yards}^2\)

The area of poster is \(\dfrac{8}{9}\ \text{yards}^2\)

We need to find the unit rate of the blackboard's area to the poster's area. So, it can be calcualted by dividing blackboard's area to the poster's area.

So,

\(\dfrac{\dfrac{4}{3}}{\dfrac{8}{9}}=\dfrac{4}{3}\times \dfrac{9}{8}\\\\=1.5\)

So, the rate of \(1.5\ \text{yard}^2\).

The interval where the derivative function f'(x) has a relative maximum is -2.478 and 1.732 (B) only.

To find the relative maximum of a function, we need to find the critical points of the derivative function. Critical points are where the derivative function is equal to zero or undefined. In this case, the derivative function is f'(x) = sin(x^2 − 3).

To find the critical points, we need to set the derivative function equal to zero and solve for x:
sin(x² − 3) = 0

x² − 3 = nπ, where n is an integer

x² = nπ + 3

x = ±√(nπ + 3)

We need to find the values of x that are in the interval −3 < x < 3. By plugging in different values of n, we can find the critical points in this interval:

n = 0: x = ±√3 ≈ ±1.732

n = 1: x = ±√(π + 3) ≈ ±2.478

n = 2: x = ±√(2π + 3) ≈ ±2.915 (not in the interval)

So the critical points in the interval are -2.478, -1.732, 1.732, and 2.478.

To determine which of these are relative maximums, we need to look at the sign of the derivative function on either side of the critical points. If the derivative function changes from positive to negative at a critical point, then that point is a relative maximum.

At x = -2.478, the derivative function changes from positive to negative, so this is a relative maximum.

At x = -1.732, the derivative function changes from negative to positive, so this is not a relative maximum.

At x = 1.732, the derivative function changes from positive to negative, so this is a relative maximum.

At x = 2.478, the derivative function changes from negative to positive, so this is not a relative maximum.

Therefore, the values of x in the interval −3 < x < 3 where f has a relative maximum are -2.478 and 1.732.

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Answer:

-30% or 30% decrease

Step-by-step explanation:

What's percentage decrease?

How do we solve this problem?

Therefore, the answer is 30% decrease.

Answer:

see below

Step-by-step explanation:

4x^4 – 20x^2 + 25

= (2x-5)²

so the factor is 2x-5

Answer:

Step-by-step explanation: y=1.5(3)-2

y=2.5

Yes, each input have exactly one output.

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

According to question,

y = 1.5x – 2

1. y = (1.5×-3) - 2

     = -6.5

2. y = (1.5×0) - 2

     = -2

3. y = (1.5×3) - 2

      =2.5

4. y = (1.5×6) - 2

      =7

Hence each input have exactly one output.

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A trapezoidal fuzzy number with parameters (-4, -3, 4, 5) can be used to describe real numbers close to the interval [-3, 4].

A trapezoidal fuzzy number is a type of fuzzy number that represents a range of values with a trapezoidal membership function. It is characterized by four parameters: a, b, c, and d, where a ≤ b ≤ c ≤ d.

To describe real numbers close to the interval [-3, 4] using a trapezoidal fuzzy number, we can choose the parameters as follows:

a = -4 (to include real numbers slightly less than -3)

b = -3 (the lower bound of the interval)

c = 4 (the upper bound of the interval)

d = 5 (to include real numbers slightly greater than 4)

By setting these parameters, we create a trapezoidal fuzzy number that covers the interval [-3, 4] and includes real numbers close to the edges as well.

The membership function of this trapezoidal fuzzy number will have a value of 1 between -3 and 4, indicating full membership within the interval. As the values approach -4 and 5, the membership value gradually decreases, indicating partial membership or closeness to the interval.

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Answer:

60 miles

Step-by-step explanation:

1 hour=60 miles

1 hour=60 miles

9514 1404 393

Answer:

  14

Step-by-step explanation:

The first term of the sequence is 182, and the common difference is 176-182=-6. So, the general term is ...

  an = a1 +d(n -1)

  an = 182 -6(n -1)

The 29th term will be ...

  a29 = 182 -6(29 -1)

  a29 = 14

Answer:

  each plan is 3/4 hours

Step-by-step explanation:

We can write equations for the total workout time on each day.

  5A +3B = 6

  7A +9B = 12

Subtracting the second equation from 3 times the first gives ...

  3(5A +3B) -(7A +9B) = 3(6) -(12)

  8A = 6 . . . . . . . . . simplify

  A = 6/8 = 3/4

__

Using the simplified equation, we can substitute for 6 in the first equation.

  5A +3B = 8A

  3B = 3A . . . . . subtract 5A

  B = A . . . . . . . divide by 3

  B = 3/4

Each of Jessica's workout plans takes 3/4 hours.

Answer:

x = 3

Step-by-step explanation:

We divide the sides by 3 to get the triangle in question

Answer:

The right answer would be b! Hope this helped :D

1) Option B, which states that the confidence interval size shrank from 0.99 to 0.90, is the right answer.

2) Option D is the best decision. Confidence interval: 0.88

1) A confidence interval in frequentist statistics is a range of estimates for an unknown parameter. A confidence interval is calculated at a specified degree of confidence; the most popular level is 95%, but other levels, such as 90% or 99%, are occasionally used.

Therefore, the correct choice is option B which states that From 0.99 to 0.90 the confidence interval size became smaller

2) In statistics, confidence is another word for probability. If you create a confidence interval, for instance, with a 95% level of confidence, you can be sure that 95 out of 100 times, the estimate will fall between the upper and lower values indicated by the confidence interval.

It can be calculated as:

df=n-1=19

t critical value 0.12 (two tail) = 1.62797

M = 51.5

sM = √(6.842 / 20) = 1.53

μ = M ± Z (sM)

μ = 51.5 ± 1.62797 * 1.53

μ = 51.5 ± 2.49

therefore, CI { 49.01 and 53.99 }

The correct choice is option D. 0.88 confidence interval

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Based on the calculations, Lainie's total earnings is equal to $323.7975.

Based on the information provided about the number of days that Lainie worked, we have:

Total number of days = 4 1/2 days.

Total number of days = 9/2 days.

Total number of days = 4.5 days.

For the number of days that Lainie worked, we have:

Total number of hours = 5 1/3 hours.

Total number of hours = 16/3 hours.

Total number of hours = 5.33 hours.

Now, we can calculate the amount of money that was earned by Lainie for her work during this period of time:

Total earnings = Hourly rate × Total number of hours × Total number of days

Substituting the given parameters into the formula, we have;

Total earnings = $13.50 × 5.33 × 4.5

Total earnings = $323.7975.

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The key driver for the 15-year forecasts of NOPAT (Net Operating Profit After Tax) and Operating Capital requirement in the model is D. Revenue Forecast.

The revenue forecast serves as the primary driver for estimating the future profitability of the business, as it represents the total sales or revenue generated by the company. By forecasting the revenue growth over a 15-year period, we can project the expected level of profitability.

The NOPAT is derived from the operating profit after accounting for taxes. As the revenue forecast directly influences the operating profit, it, in turn, affects the NOPAT. Higher revenue projections typically lead to higher operating profit and subsequently higher NOPAT.

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Answer:

I disagree with Frank

Answer:

Disagree

Step-by-step explanation:

Remember to follow the order of PEMDAS.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction.

In this case, the first step should be to solve for \(10^{4}\).

\(10^4 = 10 * 10 * 10 * 10 = 10,000\)

Next, multiply by 8:

\(10,000 * 8 = 80,000\)

80,000 is your answer, so I disagree.

~

Answer:

47 degrees

Step-by-step explanation:

180-133=47

Answer:

∠Q = 44°

Step-by-step explanation:

∠R = 180° - 133°  = 47°

∠Q = 180° - 89° - 47° = 44°

Answer:

2x+y=15, 6x+3y=45

3x-y=5, 6x-2y=10

Y=35, plug it in, x=-10

Step-by-step explanation:

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Hours worked, probably because of commission or bonuses (the other ones seem to be proportional)

Answer:

25

Step-by-step explanation:

let x = the amount of money that shelly has.

let y = the amount of money that john has.

if shelly give john 5 dollars, then they both have the same amount of money.

this leads to the equation:

x-5 = y+5

if john give shelly 5 dollars, then shelly has twice as much money as john has.

this leads to the equation:

x+5 = 2(y-5)

solve for x in each equation to get:

x-5 = y+5 leads to:

x = y+10

x+5 = 2(y-5) leads to:

x+5 = 2y-10 which becomes:

x = 2y-15

you have 2 expressions that are equal to x.

they are:

x = y+10

x = 2y-15

you can set these expressions equal to each other to get:

y+10 = 2y-15

subtract y from both sides of this equation and add 15 to both sides of this equation to get:

y = 25

since x = 2y-15, this leads to:

x = 2(25)-15 which becomes:

x = 35

the equation x = y + 10 leads to the same answer of:

y =35

you have:

x = 25

y = 35

Answer:

uh, this is very confusing....is there anyway that you could word it differently?

Answer:

(2, 180)

Step-by-step explanation:

w(x)=-5x^2+20x+160

a=-5 b=20

x=-20/2x(-5)

x=2

w(2)=180

2, 180

Answer:

m<R = 106°

Step-by-step explanation:

Given,

m<R = (6x+10)°

m<S = (2x+5)°

m<T = (3x-11)°

Now,

6x+10°+2x+5°+3x-11° = 180°{the sum of angles of triangle is 180°}

or, 11x+4° = 180°

or, 11x = 180°-4

or, x = 176°/11

or, x = 16°

therefore, x = 16°

m<R = (6x+10)°

= 6×16°+10°

= 96°+10°

= 106°

The laptop will be worth $0.001286 after 15 years if its worth becomes 1/3 each year.

We can solve this problem by using the formula for geometric sequences,

an = a₁r^(n-1), here in this case, an is the worth of the laptop after n years, r is the rate at which the worth is changing that 1/3 in this case and a₁ is the value of the laptop currently. Substituting the given values, we get:

a₁₅ = 600(1/3)¹⁵⁻¹

a₁₅ = 600(1/3)¹⁴

a₁₅ = 600x0.0000021433

a₁₅ = 0.001286

Therefore, after 15 years, the laptop is worth approximately $0.001286.

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If you go twice as fast, your stopping distance will increase by four times (option C).

This relationship is based on the laws of physics and the principles of motion.

When an object is in motion, its stopping distance is influenced by its initial speed, reaction time, and braking capabilities. The stopping distance consists of two components: the thinking distance (the distance traveled during the reaction time) and the braking distance (the distance needed to bring the object to a complete stop).

According to the laws of physics, the braking distance is directly proportional to the square of the initial speed. This means that if you double your speed, the braking distance will increase by a factor of four. In other words, going twice as fast will require four times the distance to come to a stop.

It is important to note that this relationship assumes other factors, such as road conditions and braking efficiency, remain constant. However, in real-world scenarios, these factors may vary and can affect the stopping distance to some extent.

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