Simplify this expression: 5(2x² + 2x + 4) - 3x(x + 2) *

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The area of the given triangle is 87.55 square centimeter.

From the given triangle, base=17 cm and height=10.3 cm.

The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

Here, area of a triangle = 1/2 ×17×10.3

= 87.55 square centimeter

Therefore, area of the given triangle is 87.55 square centimeter.

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\(9=7d+8(9-2d)\\9=7d+72-16d\\9=-9d+72\\-72+9=-9d\\-63=-9d\\d=7\)

Also for the 8(9-2d), simplify by multiplying the 8 into the (9-2d) as we get (8*9)-(8*2d) = 72-16d

Therefore, the answer is d = 7 aka C.

Answer:

add this and (5 × 5 × 5) × (5 × 5 × 5 × 5 × 5

Step-by-step explanation:

The Electric field charge density (G) is 4.10 × 10^5 V/m.

To obtain the answer for Electric field charge density (G), use the formula below:

                                      E = σ/2πϵ₀d

        Where:E is electric fieldσ is the surface charge density d is the perpendicular distance between the point and the surface.ϵ₀ is the permittivity of free space.

In most textbooks, it is taken as 8.85 × 10^-12 C² N^-1 m^-2.

σ is a scalar quantity and has units of C/m². G is a scalar quantity and has units of V/m.

A scalar quantity is defined as a physical quantity with magnitude only and no direction.

To obtain the answer for Electric field charge density (G), use the formula below:

                              E = σ/2πϵ₀d

Now let's assume that the value of σ is 15 µC/m² and the value of d is 7 cm which is 0.07 m.

And the value of ϵ₀ is 8.85 × 10^-12 C² N^-1 m^-2.

Therefore, Electric field charge density (G) will be given as follows:G = Eσ=σ/2πϵ₀dG = (15 × 10^-6 C/m²)/(2π × 8.85 × 10^-12 C² N^-1 m^-2 × 0.07 m)G = 4.10 × 10^5 V/m

Therefore, the Electric field charge density (G) is 4.10 × 10^5 V/m.

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Answer:

64 \(cm^{2}\)

Step-by-step explanation:

l x w = area

8 x 8 = 64

Answer:

21a

Step-by-step explanation:

The new product obtained will be x+20

The product is a result of multiplication of two numbers.

If 4 and 5 are multiplied we get 20 as the product.

In mathematics, there are many distinct types of products.

in addition to multiplying numbers, polynomials, and matrices, one can also define products on a variety of algebraic structures.

It is given in the question that

The product of a number is increases by 17 and 3

suppose the product of a number is x

if it is increased by 17 and 3 it will be

x+17+3

x+20

The new product obtained will be x+20

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Answer:

C.

Step-by-step explanation:

C is correct because when finding the mean you look for the average an there is one outlier who makes it hard to find mean.

Also the two others are similar but the other one doesn't fit in

Hope this helps :)

Both conditions must be met in order to ride: being at least five years old and being at least 36 inches tall. expression evaluates to true if a person can ride - (Age >= 5) && (Height > 36)

In order for a person to ride, two conditions must be true: they must be at least 5 years old and taller than 36 inches. In order to evaluate whether a person can ride, we can use the expression (Age >= 5) && (Height > 36). This expression evaluates to true if both conditions are true; if either one is false, then the expression will evaluate to false. For example, if a person is 4 years old and 40 inches tall, then the expression will evaluate to false because the first condition is false. On the other hand, if a person is 5 years old and 40 inches tall, then the expression will evaluate to true because both conditions are true.

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Answer:

B is the correct answer I believe..

Step-by-step explanation:

Answer: I strongly believe it is B

Step-by-step explanation:

The histogram below shows the distribution of her 60 tip amounts for one day of work.

a) The distribution of tips is skewed right, whith a gap betwen 15 to 20 and a posible out lier at or above 20. The mean will be larger than the median, and the median will be in the $2,5 to $5 bar. Most tips are $5 or less, but there is some high variability with a range of $22.50.

b) The mean would increase because $18 is farther from the mean than $8. Also, more skew is added to the grapht $18 may be an out lier. This results in a larger mean.

The median: Should not change very much. The median is the average of the 30 th and 31st values, and a change in data value from $8 to $18 will not move the middle number.

Your question is incomplete, but most probably the complete question can be seen in the attachment.

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The graphs only show the sampling distributions of X and Y, and do not provide any information on whether the estimators are biased or unbiased.

Creating, storing, manipulating, and analyzing graphs and graph data is referred to as "graph management." Graphs are a visual representation of data that are frequently used to highlight correlations between various data points or parameters to depict trends and patterns. Graph handling is the use of specialized software and algorithms to generate and edit graphs, as well as to derive insights from the data they represent. This might involve activities like converting raw data into a graph, utilizing filters to emphasize particular trends, or employing mathematical algorithms to look for patterns in the data. Graph manipulation is an important part of data analysis and visualization, and it is used in a variety of fields such as business, science, and engineering.

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Based on the given information, we can infer that you're looking for the histogram that shows the distribution of the number of females in samples of size 10 when the population proportion of females is 0.60.

To create this histogram, we'll use the binomial distribution with n=10 trials and p=0.60 success probability.

Step 1: Identify the range of possible outcomes
The range of possible outcomes for the number of females in a sample of 10 salmon can be from 0 to 10.

Step 2: Calculate the probabilities for each outcome
Using the binomial distribution formula, calculate the probability of each outcome from 0 to 10 females. The formula is:
P(x) = C(n, x) * p^x * (1-p)^(n-x)

Step 3: Create the histogram
Plot the probabilities for each outcome (number of females) on the x-axis and their respective probabilities on the y-axis. This will give you a histogram that represents the distribution of the number of females in samples of size 10 when the population proportion of females is 0.60.

Note: As you didn't provide any specific histograms for comparison, we can't tell you which one matches this description. However, the explanation above should help you understand how to create and interpret the correct histogram.

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Answer:

92 treat bags

Step-by-step explanation:

In order to calculate the total amount of treat bags that Ms. Yung can make we would simply need to divide the weight of each bag's candy by the total weight of candy that Ms. Yung has. This would evenly divide the total amount of candy into as many bags as possible.

18.5 lbs. / 0.2lbs = 92.5 bags

Therefore, if we divide evenly Ms. Yung would be able to make a total of 92 treat bags because even though she has for half a bag left it would not be an entire treat bag like she wants.

The product of a rational and an irrational number can be either rational or irrational, depending on the specific numbers involved.

To illustrate this, let's consider an example:

Let's say we have the rational number 2/3 and the irrational number √2.

Their product would be (2/3) * √2.

In this case, the product is irrational.

The square root of 2 is an irrational number, and when multiplied by a rational number, the result remains irrational.

However, it's also possible to have a product of a rational and an irrational number that is rational. For example, if we consider the rational number 1/2 and the irrational number √4, their product would be (1/2) * 2, which equals 1. In this case, the product is a rational number.

Therefore, we cannot make a definitive statement that the product of a rational and an irrational number is always rational or always irrational. It depends on the specific numbers involved in the multiplication.

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1. The probability that Layla gets more than 3 heads is 0.40 (rounded to the nearest hundredth).

P(X>3) = 0.40.Let X represent the number of heads Layla gets on flipping a coin that has a 60% chance of showing heads. She is going to flip the coin five times and we are supposed to find the probability that she gets more than 3 heads. The probability that Layla gets more than 3 heads is P(X>3).

Solution :We are given that the coin has a 60% chance of showing heads each time it is flipped. The probability of getting a head (success) is p = 0.6 and the probability of getting a tail (failure) is q = 0.4. As Layla is going to flip the coin five times, we have n = 5.On each flip, X can either be a head or a tail. Thus, X is a binomial random variable with parameters n = 5 and p = 0.6.P(X>3) can be calculated as:P(X > 3) = P(X = 4) + P(X = 5)P(X = 4) = nCx × p^x × q^(n-x) = 5C4 × 0.6^4 × 0.4^1 = 0.2592P(X = 5) = nCx × p^x × q^(n-x) = 5C5 × 0.6^5 × 0.4^0 = 0.07776P(X > 3) = P(X = 4) + P(X = 5) = 0.2592 + 0.07776 = 0.33696 ≈ 0.40

2. Probability of surgery being effective on 12 patients = 0.00000078643 and the probability that surgery is effective on at least 12 patients out of 20 is 0.1985502502.

Let p be the probability that a surgical intervention results in an increased quality of life in a patient, which is given as 60%. Let X be the number of patients out of 20 who have an increased quality of life after undergoing the surgery. We are supposed to find the probability that surgery is effective on 12 patients out of 20.

Solution :Let X be the number of patients out of 20 who have an increased quality of life after undergoing the surgery. Then X is a binomial random variable with parameters n = 20 and p = 0.6.The probability of surgery being effective on exactly 12 patients can be calculated as:P(X = 12) = nCx × p^x × q^(n-x) = 20C12 × 0.6^12 × 0.4^8 = 0.00000078643 (rounded to 11 decimal places)

The probability of surgery being effective on at least 12 patients can be calculated as:P(X ≥ 12) = P(X = 12) + P(X = 13) + ... + P(X = 20)Using a binomial probability distribution table, we can calculate this probability as:P(X ≥ 12) = 0.00000078643 + 0.0000105188 + 0.0000976064 + 0.0007052774 + 0.0038752048 + 0.0163110784 + 0.052553726 + 0.125428942 = 0.1985502502Therefore, the probability that surgery is effective on 12 patients out of 20 is 0.00000078643

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The variable for the number of wraps and the number of gift bags are x and y.

A linear function can be used to depict a straight line on the coordinate plane. The equation y = 3x - 2 serves as an illustration of a linear function since it represents a straight line in the coordinate plane.

Nonlinear functions are those whose graphs do not follow a straight line. A graph of it can be any curve other than a straight line.

A quadratic function is an illustration of a non-linear function.

Let, The number of wraps be 'x' and the number of gift bags be 'y'.

Therefore, From the given information x + y = 25 and 6x + 2y = 110.

Solving this linear system graphically we have an intersection (x, y)

at (15, 10).

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Answer:  resultant

Step-by-step explanation:

The arc length is D) 3.14 meters.

What is arc length?

In mathematics, an arc is a portion of a curve that can be thought of as a segment of the curve. An arc is a connected set of points on a curve, usually a portion of a circle.

It is defined by two endpoints and all the points along the curve between them. The length of an arc is the distance along the curve between its two endpoints.

The distance along the curved line that forms the arc (a section of a circle) is measured using the arc length formula.

                                      \(A_L=\frac{\theta}{360\textdegree}2\pi r\)

Here the give circle Radius PR = 3m and θ=60°.

Now using arc length formula then,

=> Arc length \(A_L=\frac{\theta}{360\textdegree}2\pi r\)

=> \(A_L=\frac{60}{360} \times2\times3.14\times3\)

=> \(A_L=\frac{1}{6}\times2\times3.14\times3\)

=> \(A_L\) = 3.14 m.

Hence the arc length is D) 3.14 meters.

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The area of the circle is 452.16 square inches

Area is the the total surface that is occupied by a two dimensional shape

The radius of the circle = 12 inch

The radius of a circle is the distance between the center and any point on the circumference of the circle

The area of the circle A = π×\(r^2\)

Where A is the area of the circle

r is the radius of the circle

π = 3.14

substitute the values in the equation

The area of the circle = 3.14 × \(12^2\)

= 3.14 × 144

= 452.16 square inches

Hence, the area of the circle is 452.16 square inches

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Answer:

Surface Area: 1320

Volume: 2160

Step-by-step explanation:

Before calculating Volume and Surface Area, we need to calculate the missing side of the right triangle using the Pythagoreon theorem: \(a^2+b^2=c^2\)

where c is the hypotenuse, 26.

Substituting the values into the equation you get:

10^2 + b^2 = 26^2

100 +b^2 = 676

Subtract 100 from both sides.

b^2 = 576

b = 24

Now that we have the missing side, we can calculate the rest of the question.

Surface Area =  2(\(\frac{1}2\) × 24 × 10) + (18 × 26) + (18 × 24)  +(18 × 10)

240 + 468 + 432 + 180 = 1320 unit^2

Volume = \(\frac{1}2\) × base × height × length

\(\frac{1}2\) × 24 × 10 × 18 = 2160 unit^2

Brainliest if you don't mind ;)

Answer:

The answer is B. i.e. 6.6units.

Answer:

Step-by-step explanation:

Time/mph

The condition for a portfolio to be self-financing in the Black-Scholes model is that the portfolio's value does not change due to trading (buying or selling) costs or external cash flows. In other words, the portfolio's value remains constant over time, excluding the effects of the underlying assets' price changes.

For the given portfolio, a = -t (units of the stock) and b = S_t (units of the savings account). To determine if this portfolio is self-financing, we need to check if its value remains constant over time. Using Ito's lemma, we can express the value of the portfolio as:

d(Vt) = a_t * d(St) + b_t * d(Ct)

Substituting the values of a and b, we have:

d(Vt) = -t * (2St * dt + 4St * dBt) + S_t * d(t)

Simplifying this expression, we get:

d(Vt) = -2tSt * dt - 4tSt * dBt + S_t * dt

The portfolio is self-financing if d(Vt) = 0. However, in this case, we can see that the terms involving dBt do not cancel out, indicating that the portfolio is not self-financing.

Girsanov's theorem states that under certain conditions, it is possible to transform a Brownian motion under the real-world measure into a Brownian motion under an equivalent martingale measure (EMM). The EMM is a probability measure under which the discounted asset prices are martingales. By applying Girsanov's theorem or alternative techniques, we can derive the expression for St, the stock price, under the EMM. Unfortunately, without further information or specifications, it is not possible to provide the specific expression in this case.

To determine the price Ct of the call option on the stock at time t ≤ 2, with an exercise price K = 1 and expiration date T = 2, additional information or an appropriate result is required. Without specific details, such as the volatility of the stock or the risk-free interest rate, it is not possible to provide an expression for Ct.

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Answer:

7n+24 is greater than that 3n-4

Step-by-step explanation:

First Distributive Property

4(n+6)+3n

Combine like terms

4n +24+3n

7n+ 24

Explanation

7n+24 is greater than that 3n-4

Step-by-step explanation:

Hey there!!

You can simply do it.

Here, -3x -6 +(-1) is given.

In this question, the like term is "-6" and "-1" because both are coefficients.

Combine it.

= -3x -6 -1 { as (-) (+)=(-)}

= -3x -7 { when there is (-) sign then it will be added but the sign would be minus}.

Or you can also write it as -( 3x+7). {taking (-) common}

Hope it helps...

Answer:

20 days

Step-by-step explanation:

Number of books sold each day for 40 days :

The first quartile (Q1) = 2

For the 25% of the days = 2 books were sold

Hence 0.25 * 40 = 10 days, 2 books or less were sold

The upper quartile (Q3) = 12 books

For up to 75% of the days = 0.75 * 40 = 30 days ; 12 books or less were sold

To obtain the number of books sold between 2 and 12 ; we subtract :

(30 days - 10 days) = 20 days

Answer:

20

Step-by-step explanation:

The distance between Ibadan and Onitsha is 450km

The distance between Ibadan and Kafanchan is 636. 4km

To determine the distance, we have that;

The distance of Onitsha from Kafanchan is 450km

The distance between Ibadan and Onitsha is x

The distance between Ibadan and Kafanchan is y

Note that the third quadrant is 270 degrees

Then, the value of the angle = 270 - 225 = 45 degrees

Then, using the tangent identity, we have that;

tan 45 = x/450

cross multiply the values

x = 450km

Also, using the sine identity

sin 45 = 450/y

cross multiply the values

y = 636. 4 km

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Answer:

C: 119 square inches

Step-by-step explanation:

We are given;

Slant height; L = 5 in

Base area; B = 49 in²

Since it's a square pyramid, the base portion has a square shape.

Thus, area of base = x²

Where x is a side of the square.

Thus;

x² = 49

x = √49

x = 7

Perimeter of base = 7 × 4 = 28 in

Area of pyramid = ½PL + B

Plugging in the relevant values;

Area of pyramid = (½ × 28 × 5) + 49

Area of pyramid = 119 in²

Answer:

30

Step-by-step explanation:

Let x be his speed at the morning, in miles per hour.

Then his speed after lunch was (x+10) mph.

2x + 3(x+10) = 220.

2x + 3x + 50 = 220