h-(-2.22)=-7.851 solve for h

making the assumption that "daily" will stand for 365days per year, so the compounding period will just be 365, so

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$5300\\ r=rate\to 2.4\%\to \frac{2.4}{100}\dotfill &0.024\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{assuming a 365days year} \end{array}\dotfill &365\\ t=years\dotfill &6 \end{cases} \\\\\\ A=5300\left(1+\frac{0.024}{365}\right)^{365\cdot 6}\implies A\approx 6120.86\)

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

The solar flux density also referred to as the solar constant is the total amount of energy derived from the sun per unit area per given unit of time. It is considered to be equal to solar luminosity divided by the surface area of a given sphere that has a radius equivalent to the distance between the respective planet from the sun.

using the formula for finding the solar flux density,

solar flux density =  solar luminosity /(4 x π x distance between mercury and the sun)

solar flux density =  3.865 x \(10^{26}\) /(4 x π x ( 5.791 x \(10^{10}\)))

solar flux density = 9.12 x 10⁻³ W/m²

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

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The solution of the equation is ( x - 5 )² +23 = 0.

Completing the square entails writing a quadratic in the form of a squared bracket and, if necessary, adding a constant.

Mathematical symbols can represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping, as well as the order of operations and other features of logical syntax.

Given that the equation is x²-10x = 3. The equation will be solved by completing the square method as below,

x²-10x = 3

x² - 10x - 3 = 0

( x - 5 )² - 3 + 5² = 0

( x - 5 )² - 3 + 25 = 0

( x - 5 )² + 23 = 0

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Answer:

14/27

Step-by-step explanation:

7/3 ÷ 9/2

7/3 x 2/9 = 14/27

The width of a parabola is determined by the value of a, the coefficient of the quadratic term. If a is greater than 1, the parabola will be narrower than y = x².

How to solve the parabola?

The statement "the parabola opens" can have different endings depending on the specific equation of the parabola. However, in general, a parabola can open upwards or downwards. If the coefficient of the quadratic term (x²) is positive, the parabola opens upwards, and if it is negative, the parabola opens downwards.

The vertex of a parabola is the point at which the curve changes direction. For a parabola opening upwards, the vertex is the lowest point on the curve, and for a parabola opening downwards, the vertex is the highest point on the curve. Therefore, if the parabola opens upwards, the vertex will be a minimum point, and if it opens downwards, the vertex will be a maximum point.

The vertex of a parabola is located at the coordinates (h, k), where h is the x-coordinate and k is the y-coordinate. To find the vertex, one can use the formula h = -b/2a and k = f(h), where a, b, and c are the coefficients of the quadratic equation f(x) = ax² + bx + c.

If the vertex of a parabola is at (h, k), then the parabola has been shifted h units horizontally and k units vertically from the standard position of y = x². If h is positive, the parabola has shifted to the right, and if it is negative, the parabola has shifted to the left. If k is positive, the parabola has shifted upwards, and if it is negative, the parabola has shifted downwards.

The width of a parabola is determined by the value of a, the coefficient of the quadratic term. If a is greater than 1, the parabola will be narrower than y = x², and if a is less than 1, the parabola will be wider than y = x². If a is negative, the parabola will be inverted compared to y = x², but the same principles apply.

In summary, the opening direction of a parabola, the type of vertex, the location of the vertex, the amount of horizontal and vertical shift from the standard position, and the width of the parabola are all determined by the coefficients of the quadratic equation.

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Answer:

x+38

Step-by-step explanation:

ok so try to understand my explaination!

it goes by simplifying one by one :)

(18*2+6x+5)+(3*2-5x-9)

(41+6x)+(-3-5x)

41+6x-3-5x

41-3=38

6x-5x=(1)x

x+38

try to understand, im not amazing at explaining :)

we have

f(x) = |x – 1] + 2

g(x) = -2f(x) + 8

substitute the value of f(x) in g(x)

so

g(x)=2(|x – 1] + 2) +8

g(x)=2|x – 1] + 4 +8

g(x)=2|x – 1] + 12

Using a graphing tool

see the attached image

Answer:

12-15x

Step-by-step explanation:

Answer:

Solution given:

f(x) = -3x + 1

f(-2)=-3×-2+1=7

f(0)=-3×0+1=1

f(3)=-3×-3+1=-8

So

Range is {7,1,-8) is a required answer

Answer:

x=15

Step-by-step explanation:

multiply 5 by both sides to get rid of 5 on the second side --> 3x5=x/5x5

15=x

ur wecome :)

brainliest please?

EXPLANATION

Replacing the given functions into the following:

Removing the parentheses and simplifying:

Simplifying like terms:

Hence,

The inequality that shows the minimum amount of Isaac is x ≥ $2,455.21

What is inequality?

An inequality is a mathematical statement that compares two expressions and expresses the relationship between them. It is represented by a symbol such as ">", "<", "≥", or "≤" and can be thought of as a generalization of an equation.

First, we need to find Isaac's monthly gross income. Since he has a bi-weekly gross income of $1,925, we can calculate his monthly gross income as follows:

Monthly gross income = bi-weekly gross income x 26 / 12 = $1,925 x 26 / 12 = $4,158.33

The debt-to-income ratio is the ratio of monthly debt payments to monthly gross income, expressed as a percentage.

We want to find the minimum amount by which Isaac needs to reduce his monthly debt payments to have a debt-to-income ratio of 35%.

So we can set up the following inequality:

Minimum monthly debt payments / Monthly gross income ≤ 35% / 100%

Substituting the given values, we get:

$3,915 / $4,158.33 ≤ 0.35

Simplifying this inequality, we get:

0.9407 ≤ 0.35

This inequality is not true, so we made an error in our calculations. Let's check the calculation of monthly gross income. We should have:

Monthly gross income = bi-weekly gross income x 26 / 12 = $1,925 x 26 / 12 = $4,158.33

This calculation is correct. The problem is that the minimum monthly debt payments of $3,915 are already higher than what is allowed by the debt-to-income ratio of 35%. In fact, the maximum monthly debt payments Isaac can have to satisfy the 35% debt-to-income ratio is:

Maximum monthly debt payments = Monthly gross income x 35% = $4,158.33 x 35% = $1,454.92

Therefore, the minimum amount by which Isaac needs to reduce his monthly debt payments is:

$3,915 - $1,454.92 = $2,460.08

Rounding this to two decimal places, we get $2,460.09, which is closest to the fourth option:

x ≥ $2,455.21

Hence,  the inequality that shows the minimum amount of Isaac is x ≥ $2,455.21

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Answer:

a) To determine the appropriate class interval for a dataset with 10 classes that ranges from 25 to 200, we can use the following formula:Class Interval = (Max Value - Min Value) / Number of ClassesClass Interval = (200 - 25) / 10Class Interval = 17.5Therefore, an appropriate class interval for this dataset would be 17.5.

b) To determine the number of classes for a dataset with 230 observations, we can use the following formula: Number of Classes = √(Number of Observations)Number of Classes = √(230)Number of Classes = 15.165So we should have around 15-16 classes.

c) To determine the location of the 60th percentile in a dataset with 120 observations, we can use the following formula:60th Percentile = (Percentile Rank / 100) x Number of Observations60th Percentile = (60 / 100) x 12060th Percentile = 72Therefore, the 60th percentile is located at the 72nd observation.

Answer:9x-10=2x+1

Step-by-step explanation: i think.

Answer:

67

Step-by-step explanation:

500 − 3x = 299

3x = 201

x = 67

The speed s of Ed's drive to work is 24 mph.

Let d be the distance between Ed's home and work, and let t be the time it takes him to drive to work at speed s. Then, we know that Ed drove half the distance to work before turning around, so he drove d/2 miles.

When he turns around, he increases his speed by 8 mph, so his new speed is s+8 mph. He then drives back to his home, covering the same distance of d/2 miles at an increased speed.

The time it takes him to drive home is therefore (d/2)/(s+8) hours. When he arrives home, he turns around and drives to work at a speed of (s+6) mph. The time it takes him to drive to work is then d/(s+6) hours.

Since Ed's total driving time is 67% greater than usual, we know that his new driving time is 1.67t. Setting up an equation using these values, we get:

d/(s+6) + d/2/(s+8) + d/(s) = 1.67t

Simplifying this equation yields:

d = 6t(s+6)/(7s+24)

We also know that Ed drove half the distance to before turning around, so:

d/2 = st/2

Substituting for d and solving for s yields:

s = 24 mph

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Answer:196

Step-by-step explanation:

Answer:

196

Step-by-step explanation:

Exponential expressions are just a way to write powers in short form. The exponent indicates the number of times the base is used as a factor. So in the case of 32, it can be written as 2 × 2 × 2 × 2 × 2=25, where 2 is the “base” and 5 is the “exponent”. We read this expression as “two to the fifth power”.

a. The probability that all three orders will be filled correctly at Burger King is approximately 0.738.

b. The probability that none of the three orders will be filled correctly at Burger King is approximately 0.008.

c. The probability that at least two of the three orders will be filled correctly at Burger King is approximately 0.963.

d. The mean and standard deviation of the binomial distribution used in parts (a) through (c) are approximately μ = 2.727 and σ = 0.733, respectively.

a. The probability that all three orders will be filled correctly at Burger King, which has a 90.9% success rate, can be calculated using the binomial distribution.

P(all three orders filled correctly) = (0.909)^3 = 0.738

b. The probability that none of the three orders will be filled correctly can also be calculated using the binomial distribution.

P(none of the three orders filled correctly) = (1 - 0.909)^3 = 0.008

c. To calculate the probability that at least two of the three orders will be filled correctly, we can subtract the probability of none of the orders being filled correctly and the probability of exactly one order being filled correctly from 1.

P(at least two orders filled correctly) = 1 - P(none filled correctly) - P(one filled correctly)

P(at least two orders filled correctly) = 1 - 0.008 - 3 * (0.909)^1 * (1 - 0.909)^2 = 0.963

d. The mean (μ) and standard deviation (σ) of a binomial distribution are calculated as follows:

μ = n * p

σ = sqrt(n * p * (1 - p))

Where:

n = number of trials (3 in this case)

p = probability of success (0.909)

μ = 3 * 0.909 = 2.727

σ = sqrt(3 * 0.909 * (1 - 0.909)) = 0.733

The mean represents the average number of successful orders, which is approximately 2.727. The standard deviation indicates the spread or variability of the distribution, which is approximately 0.733.

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Answer:

Similar to the question: They figure that they will drive 792 miles round trip. If their car gets 25 miles per gallon and the current cost of gasoline is $2.35, what will the gas for their trip cost? $74.45 George is taking the same trip to San Antonio (792 miles)

Step-by-step explanation:

Hope it helps :)

Carl swam 600 ft and Kenna swam 900 ft in 5 minutes. Let's assume that Carl's swimming speed is x ft/min. Since Kenna swims 1.5 times as fast as Carl, her swimming speed is 1.5x ft/min.

In 5 minutes, Carl swims a distance of 5x ft, and Kenna swims a distance of 5 * (1.5x) ft = 7.5x ft.

According to the given information, the total distance swum by both of them is 1500 ft. So, we can set up the equation:

5x + 7.5x = 1500

Combining like terms, we have:

12.5x = 1500

Dividing both sides of the equation by 12.5, we get:

x = 120

Therefore, Carl's swimming speed is 120 ft/min, and Kenna's swimming speed is 1.5 * 120 = 180 ft/min.

In 5 minutes, Carl swims a distance of 5 * 120 = 600 ft, and Kenna swims a distance of 5 * 180 = 900 ft.

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The theoretical probability of rolling a sum of 7 on two dice is 1/6, or 16.67%.

The theoretical probability of rolling a sum of 9 is 1/36, or 2.78%. Again, the experimental probability of rolling a sum of 9 is determined by actually rolling two dice and recording the results. This can be done numerous times to determine the likelihood of rolling a sum of 9. To calculate the theoretical probability of rolling a sum of 7 or 9, we can add the two probabilities together. The theoretical probability of rolling a sum of 7 or 9 will be 1/6 + 1/36 = 17/36, or 47.22%. To calculate the experimental probability of rolling a sum of 7 or 9, we can add the results of the two dice rolls together. We can then record the number of times that the sum of the two dice is 7 or 9. The experimental probability of rolling a sum of 7 or 9 will be the number of times a sum of 7 or 9 was rolled, divided by the total number of rolls.

Therefore, the theoretical probability of rolling a sum of 7 or 9 is 47.22%, while the experimental probability of rolling a sum of 7 or 9 will vary depending on the number of rolls taken.

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The ordered pairs which give the solutions of the system of equations are (-4, 1) and (-8, 9)

In order to determine the ordered pairs which give the solutions of the system of equations in a linear-quadratic graph, you need to find the points of intersection of the line and curve from the graph.

Then trace to the x and y-axes to find the ordered pairs values (Check the image attached)

Thus, the ordered pairs are (-4, 1) and (-8, 9)

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The integral will be the difference in the areas of the two curves: 1/2*(4sin(θ))^2 - 1/2*(2)^2.

The area inside the curve r = 4sin(θ) and outside the curve r = 2 can be represented by the integral of a certain expression.

To find the integral representing the area inside r = 4sin(θ) and outside r = 2, we need to set up an integral that calculates the area between the two curves in polar coordinates.

First, we determine the points of intersection between the two curves. Setting r = 4sin(θ) equal to r = 2, we can solve for the values of θ where the curves intersect. By analyzing the equation, we find that the curves intersect at θ = π/6 and θ = 5π/6.

Next, we set up the integral to calculate the desired area. The integral will have limits from θ = π/6 to θ = 5π/6, as this covers the region between the curves. The integral will be the difference in the areas of the two curves: 1/2*(4sin(θ))^2 - 1/2*(2)^2.

Evaluating this integral will yield the area inside r = 4sin(θ) and outside r = 2. By calculating the integral over the specified range of θ, the result will provide the desired area.

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Answer:

Step-by-step explanation:

4,800 cm Units

Based on the image below, if ∠8 = ∠4, then AD is parallel to BC using the concept of alternate interior angles.

When two parallel lines are crossed by a transversal, the pair of angles formed on the inner side of the parallel lines, but on the opposite sides of the transversal are called alternate interior angles. These angles are always equal.

The converse is also true. If a pair of angles formed on inner side of two lines, but on opposite side of transversal are equal, then the two lines are said to be parallel.

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The numerical value of x in the secant line is 4.

The Intersecting Secants Theorem states that "when secants intersects, their line segments are in proportion.

Its is expressed as:

Segment AB × segment AC = segment AD × segement AE.

From the image of the intersecting secants:

Let:

6 = segment AB

x + 6 = segment AC

5 = segment AD

5 + 7 = segment AE

Now, these values into the above formula:

Segment AB × segment AC = segment AD × segement AE.

6 × ( x + 6 ) = 5 × ( 5 + 7)

Solve for x

6x + 36 = 25 + 35

6x + 36 = 60

6x = 60 - 36

6x = 24

x = 24/6

x = 4

Therefore, the value of x is 4.

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Answer:

Below.

Step-by-step explanation:

The slope = difference of y values/ difference of x values

13. Slope = (-5-5)/(-3-2)

= -10/-5

= 2.

14. Slope = (-8-8)/(7-9)

= -16/-2

= 8.