Please help :) Write the following number by entering one digit in each box of the place value chart. (7x1) + (4 x 1/10) + (8 x 1/1000)

The function showing the value of the account after t years is \(f(t) = 7800(1.005917)^(12t).\)

In order to get value of account after t years with an initial investment of $7,800 and 7.1% APR compounded monthly, we need to use the following formula which is: A = P(1 + r/n)^(nt).

Given:

A = the final amount after t years

P = $7,800

r = 7.1%

n = 12 (compounded monthly)

t = the time in years?

Substituting values into the formula, we get:

A = 7800(1 + 0.071/12)^(12t)

A = 7800(1.005917)^(12t)

Therefore, the function of the account, for t years is \(7800(1.005917)^(12t)\).

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The solution to the original equation is approximately 1.4422.

To continue with the bounds found in part d, we need to use the interval [1.4, 1.5] as the initial approximation for the next iteration. Using the Newton-Raphson method, we get the following approximations:

- Iteration 2: x1 = 1.4428
- Iteration 3: x2 = 1.4422

Based on these two iterations, we can conclude that the solution to the original equation is approximately 1.4422. This is because the difference between the approximations in the last two iterations is only 0.0006, which is a small enough difference to suggest that the approximation has converged to a solution.

In other words, the Newton-Raphson method has been successful in finding a solution to the equation f(x) = x^3 - x^2 - x - 1 = 0 within the given interval [1.4, 1.5]. The method works by using the tangent line to the graph of f(x) at each iteration to approximate the root of the equation. By repeating this process, we are able to get closer and closer to the actual solution.  

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Answer:

A:

1) opposite of 789 is -789

2) opposite of -327 is 327

3) opposite of -(-8) is (8)

4) opposite of -47 is 47

B:

1) 9/13 + -9/13 = 0

2) 2.75 + (-2.75) = 0

3) 4 2/5 + -4 2/5 = 0

4) -76 + 76 = 0

C:

1) |-7| + |8| = 15

2) |6.75| + |-2.75| = 9.5

D:
1) (-8) + 9 = 1

Start at -8 on the number line and move nine to the right to get to 1

2) 4 1/2 - 2 1/2 = 2

Start at 4 1/2 on the number line and move 5 spaces to the left to get to 2

E:

a) 4 + (-6) + 8 + (-1) = 5

b) After turn one she will have -2 points

c) After turn 2 she will have 6 points

d) After turn 3 she will have 5 points. She will not earn bonus points because she could not reach ten points.

Step-by-step explanation:

The infinite series ax/a+x can be expressed as a geometric series with the sum being a/a-x.

The infinite series for ax/a+x can be represented as a geometric series. The first five terms can be expressed as:

\(Term 1: ax/(a+x)\\Term 2: (ax)^2/(a+x)^2\\Term 3: (ax)^3/(a+x)^3\\Term 4: (ax)^4/(a+x)^4\\Term 5: (ax)^5/(a+x)^5\)

The infinite series can be expressed using summation notation as:

\(∑_(n=1)^∞ (ax)^n / (a+x)^n\)

Using the formula for a geometric series, the sum of the infinite series can be calculated as:

\(S = ax/(a+x) * 1/(1-ax/(a+x)) \\ = ax/(a+x) * (a+x)/(a-ax) \\ = ax/(a-ax) \\ = a/a-x\)

Therefore, the infinite series ax/a+x can be expressed as a geometric series with the sum being a/a-x.

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Answer:

17.7

Step-by-step explanation:

Area of a triangle is 1/2×L×B

since a degree is given we are to multiply it with it and we are to use SIN

so 1/2×sin65×4.5×13.1

sin65= 0.6018

so 1/2×0.6018×4.5×13.1

=35.47/2

=17.7

The area of the triangle is 17.7 square inches option (A) 17.7 is correct.

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We know,

The area of the triangle:

A = ab(sinx)/2

a = 13.1 cm, b = 4.5 cm, x = 37 degrees

A = 13.1×4.5(sin37)/2

A = 29.475sin37

A = 17.7 square inches

Thus, the area of the triangle is 17.7 square inches option (A) 17.7 is correct.

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The value of the cscθ will be 3/5.

Trigonometric ratios are mathematical formulas that connect the angles and side lengths of a right triangle. The following are the top three trigonometric ratios:

Sine (sin): The proportion of the hypotenuse's length to the length of the side that faces an angle.

Cosine (cos): The proportion of the hypotenuse's and adjacent sides' lengths.

The tangent (tan) is the proportion of a side's length to that of its neighboring side.

The value csc is inverse of the sin angle, so the value of csc angle will be,

csc = hypotenuse / Perpendicular

csc = 1/sinθ = 5 /3

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Answer:

The way you described this question was a bit confusing- but here is what I can provide based off of what you said.

Step-by-step explanation:

7x+5/x

Please provide a picture next time

The provided ANOVA table is incomplete, as important information such as degrees of freedom, the sum of squares, mean square, and F value are missing.

(a) The ANOVA table provided is incomplete, missing entries such as degrees of freedom, sum of squares, mean square, and F value. These missing values are crucial for performing further analysis and drawing conclusions. (b) The critical F value for a significance level of α = 0.05 depends on the degrees of freedom for the numerator and denominator in the ANOVA table. Without this information, it is not possible to determine the critical F value.

(c) Without the complete ANOVA table or access to the underlying data, it is not possible to draw any conclusions or test hypotheses regarding the coating methods. The null hypothesis in an ANOVA test typically assumes that there is no difference in the means of the groups being compared.

However, since the necessary information is missing, we cannot evaluate this hypothesis or make any meaningful interpretations about the coating methods or their effects on the thickness of the coating.

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Answer:

x = 0

Step-by-step explanation:

If the line is parallel to x = 7, it will also be a vertical line.

Vertical lines will only have one possible x-value, and since the line passes through (0, 1), this means the vertical line goes through the x value 0.

The equation of the line will be x = 0

Step-by-step explanation:

Hello!!!!

According to the question,

distance covered (d)= 45km.

time taken (t)= 1 hr and 15 mins.

now,

let's find answer of this question no. i).

》answer :

speed (s)= distance by time taken

= 45 /1.25

so, the speed is 36 km/hr.

now, for 2nd question,

time (t)= 2hrs and 40 mins.

speed (s)= 36km / hr

now,

distance (d)= s×t

= 36×2.6666666667

= 96km....is yourrequired answer.

Hope it helps...

Answer x=1/2

Step-by-step explanation:

6x+2=4x+3

2x+2=3

2x=1

x=1/2

Answer:

x= 1/2

Step-by-step explanation:

x=1/2

6x+2=4x+3

-4x     -4x

2x+2=3

-2   -2

2x=1

/2 /2

x=1/2

\(\\ \qquad\quad\sf{:}\dashrightarrow V=\dfrac{4}{9}πr^3\)

\(\\ \qquad\quad\sf{:}\dashrightarrow V_{(Sphere)}\)

\(\\ \qquad\quad\sf{:}\dashrightarrow 3\left(\dfrac{4}{9}πr^3\right)\)

\(\\ \qquad\quad\sf{:}\dashrightarrow \dfrac{4}{3}\pi r^3\)

Now

\(\\ \qquad\quad\sf{:}\dashrightarrow \pi r^3=\dfrac{3V}{4}\)

\(\\ \qquad\quad\sf{:}\dashrightarrow r^3=\dfrac{3V}{4\pi}\)

\(\\ \qquad\quad\sf{:}\dashrightarrow r=\sqrt[3]{\dfrac{3V}{4\pi}}\)

Step-by-step explanation:

hmmm.

the other answer says the volume of a wedge is

4/9 × pi×r³

but I read here only

4/9 × pi³

so, what is correct ?

if I assume my reading is correct, then the solution is actually

4/9 × pi×r³ = 4/9 × pi³

pi×r³ = pi³

r³ = pi²

\(r = \sqrt[3]{ {\pi}^{2} } \)

and that would mean

r ≈ 2.145

As the sample size rises, the sample distribution approaches a normal distribution.

The sample distribution approaches a normal distribution as the sample size grows. The sampling distribution's mean equals the population's mean if the number of consecutive samples is "infinite".

The Gaussian distribution is the official name for the normal distribution. However, the word "normal" was coined in the nineteenth century after a scientific inquiry revealed that numerous natural events appeared to "deviate from normal" from their typical values.

In his 1889 work Natural Inheritance, naturalist Sir Francis Galton popularized the notion of normal variability as the standard curve.

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Answer:

\(x = 8\frac{1}{12}\)

Step-by-step explanation:

\(\frac{17}{15} =\frac{10}{2x-2}\)

\(17 ( 2x - 2 ) = 150\)

\(34x - 34 = 150\)

\(34x = 184\)

\(x = \frac{97}{12} = 8\frac{1}{12}\)

Answer:

Step-by-step explanation:

\(\frac{17}{15}= \frac{10}{2x-2}\)

\((2x-2 )*\frac{17}{15} =\frac{10}{2x-2} *(2x-2)\)

\(\frac{34x-34}{15} = 10\)

\(15*\frac{34x-34}{15} = 10*15\)

\(34x-34=150\)

\(34x=150+34\)

\(34x=184\)

\(x=\frac{92}{17}\)

Solution:

Given the inequality:

To solve the inequality,

step 1: Subtract 0.04x from both sides of the inequality.

Thus, we have

step 2: Subtract 1.1 from both sides of the inequality.

Thus, we have

step 3: Divide both sides of the inequality by the coefficient of x.

The coefficient of x is 0.04.

Thus, we have

Hence, in interval notation, we have

The graph of the solution is thus:

Answer:

call me nap is hi answer is f2+g2

The sampling distribution of sample means is a mean of 79 and a standard deviation of 3.

The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.

Given that,

Population mean,  \(\bar{x}\) = 79

Population standard deviation, σ = 18

Sample size, n = 36

We have to determine the mean and standard deviation of a sampling distribution of sample means.

Let X denotes a random variable distributed with a mean and standard deviation of 85 and 28 respectively.

Also, if a random sample of size n is drawn from the population, then the sample mean is denoted by \(\bar{x}\).

The sampling distribution of sample means \(\bar{x}\) is given by:

ц \(\bar{x}\) = ц

σ \(\bar{x}\)  = σ/√n

Therefore, for the sample size n = 36, the sampling distribution of sample means \(\bar{x}\) is obtained as:

ц \(\bar{x}\) = 79

σ \(\bar{x}\)  = 18/√36 = 3

Hence, the required sampling distribution of sample means is mean of 79 and a standard deviation of 3.

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The specific name of the quadrilateral is kite

The measures of the missing angles are 75 degrees each

To determine the measure of the angle, we need to know the different properties of a kite.

The properties of a kite includes;

Since the adjacent angles are equal, we have that;

105+ x = 180

collect the like terms, we have;

x = 180 - 105

x = 75 degrees

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The quadrilateral is a kite and the missing angles are 105° and 45°

A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.

A kite has a pair of equal angle and the diagonals of a kite meets at 90°.

In a kite , there are two pairs of congruent or equal sides.

This means that the missing angles are

The opposite angle to 105 is also 105°

The fourth angle is calculated as;

105+105+105+x = 360

= 315 +x = 360

x = 360- 315

x = 45°

Therefore the quadrilateral is a kite and the missing angles are 105° and 45°

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The probability that one out of three items is defective is 0.384, or 38.4%.

To find the probability that one out of three items is defective, we can use the binomial probability formula.

In this case, the probability of a non-defective item is 0.8, and the probability of a defective item is 1 - 0.8 = 0.2.

The probability of exactly one defective item can be calculated as:

P(X = 1) = (3 choose 1) * (0.2)¹ * (0.8)²

Using the combination formula (n choose k) = n! / (k! * (n - k)!), we have:

P(X = 1) = (3! / (1! * (3-1)!)) * (0.2)¹ * (0.8)²

P(X = 1) = 3 * 0.2 * 0.8²

P(X = 1) = 0.384

Therefore, the probability that one out of three items is defective is 0.384, or 38.4%.

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Answer: 1306.5 m^3

Step-by-step explanation:

1. The formula for the volume of a cylinder is: V=\(\pi\)r^2h

2. If you substitute the values into the equation, you get

V = pi * 5.7^2 * 12.8 = 1306.5

3. 1306.5 is already to the nearest tenth, so that is the answer.

Answer:

The answer is 98

Step-by-step explanation:

Subtract the sum of the two angles from 180 degrees.

The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

62+20=82

180-82=98

98+20+62=180

The blank in the statement refers to a specific number and is dependent on various factors such as tire type, vehicle weight, and road surface conditions.

However, in general, hydroplaning, which occurs when a layer of water prevents direct contact between the tire and the road surface, can occur with as little as 0.1 inch of standing water on the road.

what is number?

A number is a mathematical concept used to count, measure, and label. It can be used to represent quantity, order, position, and more. Numbers can be positive, negative, or zero, and they can be whole or fractional. The most commonly used types of numbers are integers, rational numbers, real numbers, and complex numbers.

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Answer:

The pythagorean theorem is:

H = \(\sqrt{s_1^2 + s_2^2}\)

With H being the hypotenuse, s1 one side, s2 the other one. He already has a side and the hypotenuse so he has to calculate the inverse formula:

s2 = \(\sqrt{H^2 - s_1^2}\)

So the real side will be:

square root of (15^2 - 10^2) = square root of (225 - 100) = 125 m

Jason made a mistake calculating the squares of the hypotenuse and the side, he didn't subtract and didn't take the root of the result.

Answer:

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = ⁷/₂

(14, -3)    ⇒   x₀ = 14,  y₀ = -3

So, the point-slope form of the equation:

y + 3 = ⁷/₂(x - 14)

So::

y + 3 = ⁷/₂x - 49         {subtract 3 from both sides}

y = ⁷/₂x - 52             ←  the slope-intercept form of the equation

After 1.8 years, the value equals the amount she paid for the car.

The value will be $ 22,131.10.

To solve the problem, find both the expense equation and depreciation equation.

The exponential depreciation equation will be:

\(y=25,900(1-0.082)^x\)

Where x represents time in years.

The expense equation will be: y=550 x+10,000

Where x represents the number of months that have passed

If x represents time in years in the expense equation, then it determines the yearly payment rather than the monthly payment.

Over the course of the year, Nina will have paid 550(12) or $ 6,600 in car payments.

The new yearly expense equation will be: y=6,600 x+10,000

Where x is time in years.

Use the two equations to find the point of intersection which will give the time she paid for the car and the value paid by her.

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Answer:

y= -4/6x-2

Step-by-step explanation:

Answer:

y=(2/3)x-2

Step-by-step explanation:

\(4x-6y=12\\\\4x=12+6y\\\\4x-12=6y\\\\6y=4x-12\\\\y=\frac{4x-12}{6} \\\\y=\frac{4x}{6}-\frac{12}{6}\\\\y=\frac{2}{3}x-2\)

Information retrieval tools include database management systems, reporting tools, and search engine tools.

Search tools employ various algorithms and techniques to index and search through vast amounts of data. They create indexes or catalogs of the content, allowing users to search for specific keywords or criteria. These tools utilize techniques like keyword matching, relevance ranking, and advanced search operators to refine search results and provide relevant information to users.

Indexing tools, on the other hand, focus on creating structured representations of data for efficient retrieval. They organize and categorize data based on predefined criteria, such as document types, dates, or categories. These tools help users navigate and explore information repositories more easily.

Overall, search and indexing tools are essential components of information retrieval systems. They enhance the accessibility and usability of data by enabling users to locate, retrieve, and analyze information quickly and accurately.

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