#11Change from standard form to vertex formy= 2x²-8x+9

Answer:

Step-by-step explanation:

NOTHING. JUST SAVE THEM

Step-by-step explanation:

Cancel 15/24 by 3 you'll get your solution.

hope it helps

Answer:

c = 5 yd

Step-by-step explanation:

using the Pythagorean theorem:

a² + b² = c²

3² + 4² = c²

9 + 16 = c²

c = √25 = 5 yd

Answer:

greater

Step-by-step explanation: 45 and 40

Answer: Yes 45.03 is greater than 40.44

Step-by-step explanation: 45.03 - 40.44 = 4.59 since it isn't zero they aren't eqivilant.

The 98% confidence interval for the average number of hours studying for the exam is approximately 6.61 to 7.99 hours. The correct option is d.

To calculate the 98% confidence interval for the average number of hours studied, we need to use the sample mean (7.3 hours), sample standard deviation (1.9 hours), sample size (41 students), and the appropriate Z-score for a 98% confidence level.

Step 1: Find the Z-score for a 98% confidence level.
Using a Z-table or calculator, the Z-score for a 98% confidence interval is approximately 2.33.

Step 2: Calculate the standard error.
Standard error (SE) = (sample standard deviation) / sqrt(sample size) = 1.9 / sqrt(41) ≈ 0.297

Step 3: Calculate the margin of error.
Margin of error (ME) = Z-score * standard error = 2.33 * 0.297 ≈ 0.692

Step 4: Calculate the confidence interval.
Lower limit = sample mean - margin of error = 7.3 - 0.692 ≈ 6.61
Upper limit = sample mean + margin of error = 7.3 + 0.692 ≈ 7.99

This means that we can be 98% confident that the true mean of hours studied for the entire class of 115 students lies within this range. The closest answer choice to these values is option D (6.11 and 8.49).

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The sample space with 16 total possible events is S. If an event is A and contains 3 possible results of S, then how many results are there in the complementary event of A, which is represented by A′ is a) 13.

Let's assume that the total number of results in S is represented by n(S), and that A has m results. It can be concluded that: n(A') = n(S) - n(A)

If A has 3 results, then n(A) = 3, and therefore: n(A') = 16 - 3 = 13.

Therefore, there are 13 results in the complementary event A′. Thus, the correct answer is (a) 13.

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Answer:

id

Step-by-step explanation:idk

Answer:

Step-by-step explanation:

ez

Big O notation focuses on the worst-case scenario analysis, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.

Imagine that you're a teacher with a student named Ram. You want to find his records, so you use a simple search algorithm to go through your school district's database.

You know that a simple search takes O(n) times to run. This means in the worst case, you'll have to search through every single record to find Ram

After a simple search, you find that Ram records are the very first entry in the database. You don't have to look at every entry.

Did this algorithm take O(n) time Or did it take O(1) time because you found Ram records on the first try?

In this case, 0(1) is the best-case scenario – you were lucky that Ram records were at the top. But Big O notation focuses on the worst-case scenario, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.

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To determine if the vector field F = (e^x cos y + yz)i + (xz - e^x sin y)j + (xy + z)k is conservative, we can check if its curl is zero. If the curl is zero, then the vector field is conservative, and we can find a potential function for it.

Taking the curl of F, we obtain ∇ × F = (∂Q/∂y - ∂P/∂z)i + (∂R/∂z - ∂Q/∂x)j + (∂P/∂x - ∂R/∂y)k, where P = e^x cos y + yz, Q = xz - e^x sin y, and R = xy + z.

Evaluating the partial derivatives, we find that ∇ × F = (z - z)i + (1 - 1)j + (1 - 1)k = 0i + 0j + 0k = 0.

Since the curl of F is zero, the vector field F is conservative. To find a potential function for F, we can integrate each component of F with respect to its corresponding variable. Integrating P with respect to x, we get ∫P dx = ∫(e^x cos y + yz) dx = e^x cos y + xyz + g(y, z), where g(y, z) is a constant of integration.

Similarly, integrating Q with respect to y and R with respect to z, we obtain potential functions for those components as h(x, z) and f(x, y), respectively.

Therefore, a potential function for F is given by Φ(x, y, z) = e^x cos y + xyz + g(y, z) + h(x, z) + f(x, y), where g(y, z), h(x, z), and f(x, y) are arbitrary functions of their respective variables.

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Answer:

804.063 is the answer

Step-by-step explanation:

BRANLIEST

Answer:

y = x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (- 1, 2) ← 2 points on the line

m = \(\frac{2-1}{-1-(-2)}\) = \(\frac{1}{-1+2}\) = \(\frac{1}{1}\) = 1

The line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = x + 2 ← equation of line

The RTS of the isoquant is 1000K, indicating the rate at which labor can be substituted for capital while maintaining constant production. The labor to capital cost ratio is 0.5. To minimize the cost of producing q units per hour, the specific value of q is needed to find the optimal combination of K and L along the expansion path, represented by the cost function C(K, L) = 40K + 20L.

The RTS (Rate of Technical Substitution) measures the rate at which one input can be substituted for another while keeping the production level constant. To determine the RTS, we need to calculate the derivative of the production function with respect to L, holding q constant.

Given the production function q = 1000KL, we can differentiate it with respect to L:

d(q)/d(L) = 1000K

Therefore, the RTS of the isoquant for production level q is 1000K.

The ratio of labor to capital cost can be calculated by dividing the labor cost by the capital cost.

Labor cost = $20/hour

Capital cost = $40/machine/hour

Ratio of labor to capital cost = Labor cost / Capital cost

                              = $20/hour / $40/machine/hour

                              = 0.5

The ratio of labor to capital cost is 0.5.

To find the combination of K and L that minimizes the cost of producing q units per hour, we need to set up the cost function and take its derivative with respect to both K and L.

Let C(K, L) be the total cost function.

The cost of capital is $40 per machine per hour, and the cost of labor is $20 per hour. Therefore, the total cost function can be expressed as:

C(K, L) = 40K + 20L

To produce q units per hour at minimal cost, we need to find the values of K and L that minimize the total cost function while satisfying the production constraint q = 1000KL.

The expansion path of the firm represents the combinations of K and L that minimize the cost at different production levels q.

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Answer:

80

Step-by-step explanation:

edge 2023

In mathematics, an algebraic expression is an assertion built up from integer constants, variables, and algebraic operations. This article is all about to Monomials, Binomials, and Polynomials.

1. Monomial

An algebraic expression that carries only one non-zero term is known as a monomial. A monomial is a just like a type of polynomial, like, binomial and trinomial, which is an algebraic expression having only a one single term, which is a non-zero.

It comprises of only a single term which makes it easy to do the operation of addition, subtraction, and multiplication.

2. Binomial

An algebraic expression that comprises of two non-zero terms is known as a binomial. It is expressed in the form equation ax ^m + bx ^n where a and b number, x is variable, m and n are nonnegative distinct integers.

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Imagine that a survey of randomly selected people finds that people who used sunscreen were more likely to have been sunburned in the past year.

There are several possible explanations for the finding that people who used sunscreen were more likely to have been sunburned in the past year.

However, without additional context or data, it is difficult to determine the most likely explanation definitively. Here are a few possible explanations to consider:

1. Ineffective or improper use of sunscreen: It is possible that the individuals who reported using sunscreen did not apply it correctly or did not reapply it as recommended.

Inadequate application or failure to follow proper sunscreen usage guidelines could result in insufficient protection from the sun's harmful rays, leading to sunburn.

2. Self-selection bias: It is possible that individuals who have previously experienced sunburns may be more likely to use sunscreen. They may be more aware of the potential risks and take precautions, including using sunscreen.

This could create an association between sunscreen use and sunburn, even though sunscreen itself is intended to prevent sunburn.

3. Recall bias: The survey responses may be subject to recall bias, where individuals may inaccurately remember or report their sunscreen use and sunburn experiences.

Memory limitations or subjective perceptions of sunburn severity could influence the reported data and the observed association between sunscreen use and sunburn.

4. Confounding factors: There may be other factors or variables at play that are related to both sunscreen use and sunburn. For example, individuals who engage in activities that increase sun exposure or who have certain skin types may be more likely to both use sunscreen and experience sunburn.

It is important to note that further investigation, including more detailed surveys, data collection and statistical analysis, would be necessary to determine the most likely explanation for the observed association between sunscreen use and sunburn.

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Answer:

need more info

Step-by-step explanation:

Answer:

4/

Step-by-step explanation:

gradient=y2-y1/x2-x1

-2-2/-5-2=

-4/-7

=4/

Answer:

option (1)

Step-by-step explanation:

f(x) - g(x)

= 5x² - 2x + 7 - (- 2x² + 6x + 3) ← distribute parenthesis

= 5x² - 2x + 7 + 2x² - 6x - 3 ← collect like terms

= 7x² - 8x + 4

A constant is a quantity that cannot change, and it is often represented by a letter such as K or C.

It is also sometimes represented by a symbol such as an arrow pointing in either direction or a Greek letter such as π. Constants are often used in mathematics, science, and engineering to refer to quantities that are fixed or known. For example, the speed of light in a vacuum is represented by the constant C, and the universal gravitational constant is represented by the symbol G. Constants can also be used to represent physical properties, such as the Boltzmann constant or the Stefan-Boltzmann constant. Constants are also used to refer to universal constants, such as the Planck constant, which is represented by the symbol h.

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Observed proportions (relative frequencies) from a sample are statistics that can be used to estimate probabilities.

a) Thre is 99.73% proportion of observations is in between 190 and 310 .

b)there is 95.44% proportion of observations is in between 210 and 290 .

We have given that,

Mean of population, μ = 250

standard deviations, σ = 20

we have to calculate proportion of observations in the given interval pair.

a) pair of values are 190 and 310

Using Z-score formula,

Z =( x - μ) /σ

=> Z = (190 - 250) / 20 = -3

Similarly, Z = (310 - 250)/20 = 3

So, -3 < z < 3 and from Z score we found p-value

P(190<X<310) = P( 190-u/sd < X-u/sd < 310-u/sd)

= P( X< 310 ) - P(X<190) = P(Z < 3) - P( Z< -3 )

=0.99865 - 0.00135 0.9973 = 99.73%

b) pair is 210 and 290

Z-Score = (210-250)/20 = -2

Z-score = (290-250)/20 = 2

so, -2 < z < 2

From Z score we found p-value

P(210<X<290) = P(X<290) - P(X<210)

= P(Z< 2) - P(Z< -2)

= 0.9772 - 0.0228 = 0.9544 = 95.44%

So, the required proportion are 99.73% and 95.44% proportion of observations in each given pair.

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Complete question:

If the mean of a population is 250 and its standard deviation is 20, approximately what proportion of observations is in the interval between each pair of values? a 190 and 310 b. 210 and 290.

Answer:

Michael should get $0.25 from the clerk.  

Step-by-step explanation:

Add $1.25+$0.50 together which equals $1.75 and multiply $0.25x8 which equals $2.00 and subtract $1.75 from $2.00 and that equals $0.25.

Answer:

.25 = 1 quarter

Step-by-step explanation:

8 x .25 = $2.00

1.25 + .50 = $1.75

2.00 - 1.75 = .25

Answer:

Option C is the correct answer

Answer:

Option C

Step-by-step explanation:

Option C is the option as its was corisponds with the following graph when the equations are plugged in as you can see C is what is shown by the over lapping Red and Blue colors

I hope this helps.

The values of x and y are given as follows:

x = y = 5.

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The theorem is expressed as follows:

c² = a² + b².

In which:

The diagonal length of the rectangle is the hypotenuse of a right triangle of sides 6 and 8, hence:

d² = 6² + 8²

d² = 100

d = 10.

The segments x and y are each half the length of the diagonal, and the two diagonals have the same length for a rectangle, hence:

x = y = 5.

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Answer:

The y-intercept of the line is -4.

Step-by-step explanation:

y-y=m(x-x¹)

y-(-2)=-1(x-(-2))

y+2=-1x-2

-2 -2

y=-1x-4

\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)

The root of the function f(x) = 4xcos(3x - 5) in the interval [-7, -6] using the Regula Falsi Method is approximately -6.413828.

The zero/s of the function f(x) = 2.75(x/5) - 15 using the Bisection Method is approximately 12.2712212.

To find the root of a function using the Regula Falsi Method, we follow these steps:

Step 1: Start with an initial interval [a, b] where the function f(x) changes sign. In this case, we have the interval [-7, -6].

Step 2: Calculate the values of f(a) and f(b). If either f(a) or f(b) is zero, then we have found the root. Otherwise, proceed to the next step.

Step 3: Find the point c on the x-axis where the line connecting the points (a, f(a)) and (b, f(b)) intersects the x-axis. This point is given by:

c = (a  f(b) - b f (a) ) / ( f(b) - f(a) )

Step 4: Calculate the value of f(c). If f(c) is zero or within a specified tolerance, then c is the root. Otherwise, proceed to the next step.

Step 5: Determine the new interval [a, b] for the next iteration. If f(a) and f(c) have opposite signs, then the root lies between a and c, so set b = c. Otherwise, if f(b) and f(c) have opposite signs, then the root lies between b and c, so set a = c.

Step 6: Repeat steps 2-5 until the desired level of accuracy is achieved or until a maximum number of iterations is reached.

Applying these steps to the given function f(x) = 4xcos(3x - 5) in the interval [-7, -6], we find that the root is approximately -6.413828.

To find the zero/s of a function using the Bisection Method, we follow these steps:

Step 1: Start with an interval [a, b] where the function f(x) changes sign and contains a root. In this case, you haven't provided the interval.

Step 2: Calculate the midpoint c of the interval: c = (a + b)/2.

Step 3: Calculate the value of f(c). If f(c) is zero or within a specified tolerance, then c is the root. Otherwise, proceed to the next step.

Step 4: Determine the new interval [a, b] for the next iteration. If f(a) and f(c) have opposite signs, then the root lies between a and c, so set b = c. Otherwise, if f(b) and f(c) have opposite signs, then the root lies between b and c, so set a = c.

Step 5: Repeat steps 2-4 until the desired level of accuracy is achieved or until a maximum number of iterations is reached.

Without the interval for the function f(x) = 2.75(x/5) - 15, we cannot find the zero/s using the Bisection Method.

Therefore, the root of the function f(x) = 4xcos(3x - 5) in the interval [-7, -6] using the Regula Falsi Method is approximately -6.413828, and the zero/s of the function f(x) = 2.75(x/5) - 15 using the Bisection Method cannot be determined without the interval.

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Answer:

t =5

Step-by-step explanation:

-7(2-t)=21

-14+7t=21

7t=35

t=5

The object is cone and a cylinder combined,

So first we get the areas of both and sum the both.

TSA of a cylinder =2 πr+(r + h)

=2 π x (5)+(5+7)=43.41592654

Then the TSA of a cone

= πr(l + r)

π x5(11+5)=80 π

REMEMBER THEY HAVE THE SAME RADIUS SINCE THEY ARE JOINED!!

Therefore,

80 π + 43.41592654= 295cm squared to whole number

Answer:

200π cm².

Step-by-step explanation:

To find the total surface area of the solid made from a cone and a cylinder, we need to calculate the surface area of each component separately and then add them together.

1. Surface area of the cone:

The surface area of a cone can be calculated using the formula: πr(r + l), where r is the radius of the base and l is the slant height.

Given that the radius of the cone is 5 cm and the slant height is 11 cm, we can substitute these values into the formula to find the surface area of the cone.

Surface area of the cone = π(5)(5 + 11) = 80π cm²

2. Surface area of the cylinder:

The surface area of a cylinder can be calculated using the formula: 2πrh + 2πr², where r is the radius of the base and h is the height.

Given that the radius of the cylinder is also 5 cm and the height is 7 cm, we can substitute these values into the formula to find the surface area of the cylinder.

Surface area of the cylinder = 2π(5)(7) + 2π(5)² = 70π + 50π = 120π cm²

3. Total surface area:

To find the total surface area of the solid, we add the surface area of the cone to the surface area of the cylinder.

Total surface area = Surface area of the cone + Surface area of the cylinder

Total surface area = 80π + 120π

Total surface area = 200π cm²

Therefore, the total surface area of the solid, including the base, in terms of pi is 200π cm².