How do you solve this

9.38

please don't trust this answer

Answer: C

Step-by-step explanation: The slope of Function A is 6 and the slope of Function B is 5.

Answer:

YES IT IS A PERFECT SQUARE

Step-by-step explanation:

equate the equation to zero

x^2+8x+16=0

c is the product while the coefficient of b is the sum

P=16

S=8

find a pair of numbers that the product is 16 and the sum is 8

the numbers are (4,4)

(x^2+4x) (4X+16)

ignore 8x and arrange as shown above

then bracket the equation

x(x+4)+4(x+4)

you simplify and remain with (x+4) (x+4)

having similar roots making it a perfect square

The requirement f(x1) * f(x2) < 0 for choosing initial guesses x1 and x2 with opposite signs ensures the validity and convergence of certain numerical root-finding methods such as the bisection method or the regula falsi method.

The statement you provided is true for certain numerical methods used to find roots of equations, such as the bisection method or the regula falsi method. These methods are iterative and require an initial interval or range where the root is expected to be found. To ensure convergence and a valid solution, it is necessary to choose initial guesses x1 and x2 such that the function f(x) evaluated at those points have opposite signs, i.e., f(x1) * f(x2) < 0.

The rationale behind this requirement is based on the Intermediate Value Theorem, which states that if a continuous function f(x) changes sign over an interval [x1, x2], then there exists at least one root within that interval. By ensuring that f(x1) and f(x2) have opposite signs, we guarantee the existence of a root within the interval [x1, x2].

The bisection method works by repeatedly bisecting the interval and selecting a new subinterval that contains the root. At each iteration, the method narrows down the interval by halving it, based on the sign change observed in the function evaluations.

Similarly, the regula falsi (or false position) method also operates by iteratively refining the interval based on the linear interpolation between the function values at the endpoints. The method adjusts the interval based on the sign change of the function, converging to the root.

Both methods rely on the property of opposite signs to guarantee convergence and avoid getting stuck in a non-converging or incorrect solution. If the initial guesses do not satisfy the condition f(x1) * f(x2) < 0, it is possible that the method fails to converge or converges to a different root or solution.

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Answer:

8:55

Step-by-step explanation:

25 minutes before 9:25 is 9:00

5 minutes before 9:00 is 8:55

Thus, 30 minutes before 9:25 is 8:55

Answer:

8:55 is the answer

Step-by-step explanation:

9:25 - 0:30 = 8:55

Answer:

The common ratio of this sequence is 1/3, so to find the next three terms we can continue multiplying by 1/3:

1/3 * 1/3 = 1/9

1/9 * 1/3 = 1/27

1/27 * 1/3 = 1/81

Therefore, the next three terms in the sequence are 1/9, 1/27, and 1/81.

1/9, 1/27, and 1/81 are the next 3 numbers in the Geometric sequence 9, 3, 1, 1/3

The given geometric sequence is 9, 3, 1, 1/3.

To find the common ratio, we divide any term by the previous term. Let's use the second and first terms:

3 ÷ 9 = 1/3

The common ratio is 1/3.

To find the next three terms, we can continue multiplying each term by the common ratio.

1/3 * (1/3) = 1/9

(1/3) * (1/9) = 1/27

(1/9) * (1/27) = 1/81

Therefore, the next three terms in the geometric sequence are 1/9, 1/27, and 1/81.

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Answer: The area of the circle that passes through the three vertices of the isosceles triangle is (3sqrt(2))/2 pi square units.

Step-by-step explanation:

Since the circle passes through the three vertices of the isosceles triangle, the center of the circle must be the midpoint of the base of the triangle. Let's call this point O.

Let's draw a perpendicular from O to the midpoint of the third side of the triangle. This will bisect the base and form two right triangles. Let's call the height of each of these triangles h.

Since the isosceles triangle has two sides of length 3, we can use the Pythagorean theorem to find h:

h^2 + (3/2)^2 = 3^2

h^2 + 9/4 = 9

h^2 = 9 - 9/4

h^2 = 27/4

h = sqrt(27)/2 = (3sqrt(3))/2

Now, we know that the radius of the circle is equal to the distance from O to any of the vertices of the triangle. Let's call this distance r.

From the right triangle, we know that r^2 + h^2 = (2/2)^2 = 1

r^2 = 1 - h^2

r^2 = 1 - (27/4)

r^2 = -23/4

Since r is the distance from the center of the circle to a point on the circle, it must be positive. However, we see that r^2 is negative, which is impossible. Therefore, the circle cannot exist.

Since it is impossible for the circle to exist, we cannot find its area.

Answer:

(6,-2)

Step-by-step explanation:

The point is now 6 units to the right of the y axis.  That would be 6, but the y value would be the same 2 units below the x axis.

Answer:

10^12.

Step-by-step explanation:

You need to solve 10^6 * 10^2 without using standard notation. As with variables, if you had x^6 * x^2 you would add the exponents. Replace x with 10. Your answer is 10^8. As a sidenote, only multiply exponents when raising a power to another power, e.g. (10^6)^2 = 10^12.

Answer:

10000000

Step-by-step explanation:

To calculate the value of X that Ellen should deposit in the bank, we need to determine the present value of the future payments that will accumulate to $50,000 in six years.

Using the formula for compound interest, the present value can be calculated as follows:

PV = X/(1 + r)^1 + X/(1 + r)^2 + X/(1 + r)^3,

where r is the annual interest rate (5%) expressed as a decimal.

To find the value of X, we set the present value equal to $50,000 and solve for X:

50,000 = X/(1 + 0.05)^1 + X/(1 + 0.05)^2 + X/(1 + 0.05)^3.

Once we determine the value of X, we can proceed to the next step.

For the second part of the question, after four years, the bank raises the interest rate to 6%.

From year four to year six, Ellen's money will continue to accumulate interest.

To find the amount donated, we calculate the future value of the remaining amount after deducting the down payment of $50,000:

Remaining amount = X/(1 + 0.06)^2 + X/(1 + 0.06)^3 + X/(1 + 0.06)^4.

The donated amount is then the difference between the remaining amount and the total accumulated after six years.

By evaluating these expressions, we can determine the value of X and the amount donated by Ellen.

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Answer:

96%

Step-by-step explanation:

4800÷5000

Answer:lol

Step-by-step explanation:lol

Answer:

60/25 is greater than 60/132

Answer:

60/25

Step-by-step explanation:

Between the two, 60/25 most definitely would be the greater one of the two. Unless if you were intending 25/60, 60 divided by 25 gives you 2.4. 60/132 gives you 0.4545, so the 2.4 is greater.

Answer:

7. -8

8. -12

9. 2916

Step-by-step explanation:

7) A regular quadrilateral is a square, so any angle on a square is 90°, A

8) Looking at the shape, it appears to be B (4 sides and symmetrical)

9) The shape appears to be B (4 sides, opposite angles are equal, all sides are equal)

I forgot the formula for a trapezoid, but I'm sure you use it or their properties to find the rest.

Answer:A conductor is mapping a trip and records the distance the train travels over certain time intervals. time (hours) Distance (miles) 0.5 22.5 1 45 1.5 67.545 The train travels at a constant speed. What is its speed in miles per hour?

Step-by-step explanation:

do not uses this site i got all my answers wrong going here

Answer:

x₁ = 2

x₂ = 10

Step-by-step explanation:

x² + 20 = 12x

x² - 12x + 20 = 0

(x-2)(x-10) = 0

then:

x₁ = 2

x₂ = 10

Check:

x₁

2² + 20 = 12*2

3 + 20 = 24

x₂

10² + 20 = 12*10

100 + 20 = 120

The list of courses where the percentage of students with D or F grades is greater than the average includes Course A and Course B.

To find a list of courses where the percentage of students with a grade of D or F is greater than the average, follow these steps:

1. Calculate the average percentage of students with D or F grades across all courses.
2. Determine the percentage of students with D or F grades for each course.
3. Compare the percentage of students with D or F grades for each course to the average percentage calculated in step 1.
4. Identify the courses where the percentage of students with D or F grades is greater than the average.

Let's assume we have the following data for three courses:

Course A:
- Total number of students: 50
- Number of students with D or F grades: 10
- Percentage of students with D or F grades: (10/50) * 100 = 20%

Course B:
- Total number of students: 60
- Number of students with D or F grades: 15
- Percentage of students with D or F grades: (15/60) * 100 = 25%

Course C:
- Total number of students: 40
- Number of students with D or F grades: 5
- Percentage of students with D or F grades: (5/40) * 100 = 12.5%

Now, let's calculate the average percentage of students with D or F grades:

Total percentage of students with D or F grades = (20% + 25% + 12.5%) / 3 = 57.5% / 3 = 19.17%

Finally, compare the percentage of students with D or F grades for each course to the average percentage:

- Course A's percentage (20%) is higher than the average (19.17%)
- Course B's percentage (25%) is higher than the average (19.17%)
- Course C's percentage (12.5%) is lower than the average (19.17%)

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The monthly payment for a $5000 loan at a 5.25% rate is 97.25. Then the correct option is B.

The term loan refers to a sort of credit vehicle in which a sum of money is lent to another party in exchange for the value or principal amount being repaid in the future.

The loan amount is $5000 with a rate of 6.25% over 60 months.

Then the monthly payment (MP) will be

\(r = \dfrac{0.0625}{12} = 0.0052\)

Then the formula will be

\(\rm MP = P \times \dfrac{r(1+r)^n}{(1+r)^n - 1}\\\)

P = $5000

r = 0.0052

n = 60

Then we have

\(\rm MP = P \times \dfrac{0.005208(1+0.005208)^{60}}{(1+0.005208)^{60} - 1}\\\\MP = 97.245 \approx 97.25\)

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Answer:

11x = 19

Step-by-step explanation

5x + 2y = 5  and 3x - y = 14

5x + 2(3x -14) =5 and y = 3x -14

5x + 6x -  28 = 5 and  y = 3x -14

11x = 33  and y = 3x -14

x = 3 and y = 3 x 3 -14 = -5

11x =19 <=> x = 11/19 (F)

11x = 33 <=> x= 3 (T)

11y = -55 <=> x= -5 (T)

The value of a is 2.475 and the value of y is 3, so the expression (7.5 X 10^3)(3.3 x 10^4) can be simplified to 2.475 x 10^7.

Given the expression (7.5 X 10^3)(3.3 x 10^4) = a x 10^y, we need to find the values of a and y.

To multiply numbers in scientific notation, we first multiply the coefficients (7.5 x 3.3 = 24.75) and then add the exponents (3 + 4 = 7). Therefore, we get (7.5 X 10^3)(3.3 x 10^4) = 24.75 x 10^7.

However, we need to express the answer in scientific notation in the form a x 10^y, where 1 ≤ a < 10 and y is an integer. To do this, we need to convert 24.75 into a number between 1 and 10 by dividing it by 10^7. This gives us a = 2.475.

We also need to adjust the exponent of 10 to get the expression in scientific notation. To do this, we divide the original exponent of 7 by 2, which gives us y = 3. Therefore, (7.5 X 10^3)(3.3 x 10^4) = 2.475 x 10^3.

In summary, the value of a is 2.475 and the value of y is 3, so the expression (7.5 X 10^3)(3.3 x 10^4) can be simplified to 2.475 x 10^7. It is important to note that scientific notation is a useful way to express very large or very small numbers in a compact and convenient form. It is widely used in science, engineering, and other fields where large quantities are often encountered.

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Answer:

\(\large\boxed{x = 7}\)

Step-by-step explanation:

3x - 2(x + 3) = 4x - 9 - x

Start by multiplying 2 by the values in the parenthesis

3x - 2x + 6 = 4x - 9 - x

Subtract 3x - 2x and 4x - x

x + 5 = 3x - 9

Add 9 to both sides of the equation

x + 14 = 3x

Subtract x from both sides of the equation

14 = 2x

Divide both sides of the equation by 2

\(\large\boxed{x = 7}\)

Hope this helps :)

Answer:   5+3=8

5/8 * 100= 62.5

3/8 * 100= 37.5

Step-by-step explanation:

The engineer's improved light bulb likely has a statistically significant longer lifetime than the previous design, with a small but measurable difference of 0.2 hours.

Statistical significance refers to the probability that the observed difference between two groups (in this case, the old light bulbs and the new ones) is not due to chance alone. If the probability is low enough, we can confidently reject the null hypothesis (that there is no difference between the two groups) and conclude that there is a real difference between them.

In this case, a sample size of 40,000 bulbs is quite large, which increases the statistical power of the test and allows for even small differences to be detected as significant. The fact that the new bulb had a slightly longer lifetime of 1,200.2 hours, compared to the old bulb's average lifetime of 1,200 hours, suggests that the engineer's design improvement was successful in making the bulb last longer.

However, it's important to note that while the effect is statistically significant, the practical significance may be less clear. A difference of 0.2 hours may not make a noticeable impact on the bulb's usefulness or longevity in real-world scenarios. Additionally, other factors such as cost or energy efficiency may also need to be considered when evaluating the success of the new design.

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Answer:

#3

Step-by-step explanation:

For this... you just multiply the exponents together to get 6x

   any of the others that do NOT have 6x as a product of exponents is not equiv    ..... so #3 is not equivalent  

Option 3 is not equivalent to the given expression.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is (5²ˣ)³.

Now, (5⁶ˣ)

(5ˣ)⁶

(5²)³ˣ

Therefore, option 3 is not equivalent to the given expression.

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Answer:

y = -5(x-5)^2+1125

Step-by-step explanation:

Answer:

The answer is Joel has to work for 10 weeks

Step-by-step explanation:

Trust me its correct

pls mark me as brainliest

Answer:

10 weeks

Step-by-step explanation:

he has 40 dollars already in his bank account so you need to find 40+? +120 that will be 80. so if he needs 80 so do 80 dived by 8= 10 theres your answer

63.75km/hr is the car average speed fpr the entire journey.

The formula for calculating average speed is expressed according to the formula below

Average speed = change in distance/water

Substitute the given parameter

Average speed = 90/2 + 75/4

Average speed = 45 + 18.75

Average speed = 63.75km/hr

Hence the car's average speed for the entire journey is 63.75km/hr

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