The vertex form of the equation of a parabola is y = 5(x-3)2 - 6.
What is the standard form of the equation?

Answer:

ykLhxlyzykxlh jl jcul

Step-by-step explanation:

Answer: x = 18

Step-by-step explanation:

1) 100% - 54.5% = 45.5%.

2) 45.5/100 = 0.455.

3) 0.455 * X = 8.19g.

4) x = 8.19/0.455.

5) x = 18.

Answer:

3

Step-by-step explanation:

the y intercept is were x=0

Answer:

20

Step-by-step explanation:

All you do is find an exponent that adds up to 24

The expansion of Cos(A-B) is:

We are provided with the following:

We will have to obtain the values of Cos B and Sin A. Thus, we have:

To be obtain Sin A, we have to get the value of the third side, which is the opposite side, by applying the pythagoras theorem. Thus, we have:

To be obtain Cos B, we have to get the value of the third side, which is the adjacent side, by applying the pythagoras theorem. Thus, we have:

Now that we have obtained the values of Cos B and Sin A, we can then go on to solve the original problem.

The present value required to get 2000 after 12 years at 9% compounded semiannually is approximately 1177.34.

To find the present value, we need to use the formula for compound interest: P = A / (1 + r/n)^(NT),

where P is the present value, A is the future value, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, we want to find the present value (P) to get 2000 (A) after 12 years, with an annual interest rate of 9% (r) compounded semiannually (n = 2).

First, we need to convert the annual interest rate to a semiannual interest rate by dividing it by 2: r = 9% / 2 = 0.045.

Next, we plug the values into the formula:

P = 2000 / (1 + 0.045/2)^(2*12)

Simplifying further:

P = 2000 / (1 + 0.0225)^(24)

Calculating the parentheses first:

P = 2000 / (1.0225)^(24)

Calculating the exponent:

P = 2000 / 1.698609

Finally, dividing to find the present value:

P ≈ $1177.34 (rounded to the nearest cent)

Therefore, the present value required to get 2000 after 12 years at 9% compounded semiannually is approximately 1177.34.

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Answer: first line will be the on down the the right line 3... next the one with the straight line line 1 ..... then the fourth line slowly back upward

Step-by-step explanation:

Answer:

PartA: /

PartB: __

PartC: / its this one but less steeper(the second to last answer on the right)

Step-by-step explanation:

The number 102 in the sequence will be closest to 100.

A sequence in which each next term gets increased or decreased from the preceding by a constant value is called an arithmetic progression.

The difference of any two consecutive terms in an arithmetic progression is called the common difference of the AP (arithmetic progression).

Here each terms increases by 8. So, the common difference d is 8.

The first term is given to be 38.

So our sequence will be,

38, 46, 54, 62,...

nth term in an AP can be calculated by using the formula,

aₙ = a₁ + (n-1)d

To find the term nearest to 100,

100 = 32 + (n-1)8

68/8 = (n-1)

9.5 = n

But the value of n can not be a non-integer,

So the term nearest to 100 will be 9th or 10th term.

a₉ = a₁ + (9-1)d

a₉ = 8 + (8 x 8)

a₉ = 94

and,

a₁₀ = a₁ + (10-1)d

a₁₀ = 8 + (9 x 8)

a₁₀ = 102.

We can see,

a₁₀ = 102 is closest to 100.

Hence, 10th term is closest to 100.

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To find the maximum volume of a cylinder inscribed in a sphere of radius r, we need to use optimization techniques. The cylinder should be such that its height is equal to its diameter and both should be equal to the diameter of the sphere. This means that the cylinder should be a cube with its diagonal equal to the diameter of the sphere.

Let the diameter of the sphere be 2r. The diagonal of the cube is equal to the diameter of the sphere, so its side is r√3. The volume of the cube is (r√3)^3 = 27r^3.

Since the cylinder is inscribed in the sphere, its radius is r and its height is 2r. The volume of the cylinder is πr^2(2r) = 2πr^3.

To maximize the volume of the cylinder, we need to differentiate the volume equation with respect to r and set it equal to zero:

d/dx (2πr^3) = 6πr^2 = 0

This gives us r = 0, which is not a valid solution. Therefore, the maximum volume of the cylinder inscribed in the sphere of radius r is 2πr^3, when the cylinder is a cube with its diagonal equal to the diameter of the sphere.

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Answer:

a square has all its sides equal so you divide by 4

to get 9cm

Answer:

4cm

Step-by-step explanation:

4tmes side gives as perimeter

4side =36

x=4

Answer:

The solution is A. (4, -2)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

When you develop an argument with a major premise, a minor premise, and a conclusion, you are using deductive reasoning. When constructing an argument using deductive reasoning, three components are involved: a major premise, a minor premise, and a conclusion.

Deductive reasoning is a logical process where the conclusion is derived from the major and minor premises. The major premise is a general statement or principle that establishes a broad context or rule.

The minor premise is a specific statement or evidence that relates to the major premise. Finally, the conclusion is the logical inference or outcome that follows from the combination of the major and minor premises.

Deductive reasoning allows for the logical progression from general principles to specific conclusions, making it a valuable tool in fields such as mathematics, logic, and philosophy.

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Answer:

has a quantity that has both magnitude and direction

Josiah Willard Gibbs and Oliver Heaviside is the creator

It's called a vector because Alex Stepanov, the designer of the Standard Template Library, was looking for a name to distinguish it from built-in arrays

Step-by-step explanation:

i hope this is ok

Answer:

70%

Step-by-step explanation:

the camera is marked down 30 plus 40 which is 70%

The right-hand side of an ODE dy/dt=f(y,t) can be rewritten as the product of a function of y alone and a function of t alone.

False.

The method of separable ODEs can be applied when the right-hand side of an ODE dy/dt = f(y,t) can be written as a product of a function of y alone and a function of t alone, not necessarily as the sum of such functions. Specifically, the ODE can be written in the form:

g(y) dy/dt = h(t)

where g(y) is a function of y only and h(t) is a function of t only.

We can then integrate both sides with respect to their respective variables to obtain:

∫ g(y) dy = ∫ h(t) dt + C

where C is the constant of integration. We can then solve for y in terms of t, if possible, to obtain the general solution of the ODE.

Therefore, the correct statement is: The method of separable ODEs can be applied only when the right-hand side of an ODE dy/dt=f(y,t) can be rewritten as the product of a function of y alone and a function of t alone.

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Sequence of states, denoted as v1, v2, ..., vt, is generated. The probability of observing this specific sequence, p(v1, v2, ..., vt), can be calculated based on the transition probabilities of the Markov chain.

The probability of observing a specific sequence, p(v1, v2, ..., vt), in a Markov chain can be calculated using the transition probabilities of the chain. Each transition probability represents the likelihood of moving from one state to another. The probability of the entire sequence is the product of the transition probabilities for each consecutive pair of states in the sequence.

For example, if we have a Markov chain with states {1, 2, ..., v}, and the transition probabilities are denoted as P(i, j) (the probability of transitioning from state i to state j), then the probability of the sequence v1, v2, ..., vt can be calculated as:

p(v1, v2, ..., vt) = P(v1, v2) * P(v2, v3) * ... * P(vt-1, vt)

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Answer:

Step-by-step explanation:

Since the swimming pool is cylindrical, we would find its volume by applying the formula for determining the volume of a cylinder which is expressed as

Volume = πr²h

Where

r represents radius of the cylinder

h represents height

π = constant = 3.14

From the information given,

Diameter = 12 feet

Radius, r = diameter/2 = 12/2 = 6 feet

h = 4 feet

Volume = 3.14 × 6² × 4 = 452.16ft³

Since 1 cubic foot is approximately 7.48 gallons, the number of gallons of water that the swimming pool can contain is

452.16 × 7.48 = 3382.16 gallons

Answer:

Step-by-step explanation:

17y-12

11y+3(2y-4)

11y+6y-12

17y-12

I hope this helps!

The width of the rectangle as an exponential factor whose length is 2^(-1) m and Area is 2^(-4) m^2 is 2^(-3) meter.

As per the question statement, we are given a triangle whose length is 2^(-1) m and Area is 2^(-4) m^2 is 2^(-3) meter. We are supposed to find out the width of the rectangle as an exponential factor.

Before solving the question, we should know the formula for calculating the area of the rectangle

Area = Length * Width

Given Area = 2^(-4) m^2

Given Length =  2^(-1) m

Let Width = "x" m

2^(-4) =  2^(-1) * x

2^(-4)/2^(-1) = x

2^(-4+1) = x

2^(-3) = x

Hence width of the given rectangle as an exponential factor is

x = 2^(-3)  meter

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Answer:

.05 or 1/20

Step-by-step explanation:

If you meant 3/10 divided by 6 then the answer is .05 aka 1/20

May I have brainliest if this helped you?

Hope this helped!!

Bella was here :)

You either meant the fraction 3/10 by 6 or 3 divided 10 divided by 6

Since I am not sure which one, I will do the work for both

1. 3/10 / 6

Convert 6 into a fraction

6 = 5 10/10

5 10/10=50/10

3/10 / 50/10

3/10 * 10/50 = 30/500

30/500= 3/50

3/50

2. 3 divided by 10 divided by 6

3 divided by 10 = 0.3

0.3 divided by 6 = 0.05

0.05

Hope this helps

Answer:

I am odd number my digits add up to 7 i am bigger than 50 and smaller 100

Answer:

125 miles

Step-by-step explanation:

Speed travelled every hour = 50 miles

Time travelled for - 2 1/2 hours = 2.5 hours

Distance = Speed * Time

50*2.5 = 125 miles

Hope this helps!

Solution:

Note that:

Using the equation (50 miles = 1 hour) to solve for 2 1/2 hours:

Answer:

25

Step-by-step explanation:

because 225/9 is 25 meaning she has 25 times more than mila

In the regression line y = a+ bx+ e, a is the slope of the regression line.

The above statement is False.

The correct Statement is :

The linear regression line has an equation of the form Y =a + bX

where, Y is called the dependent variable or response.

X means independent or predictor or explanatory variable.

a is the y-intercept and b is the slope of the line.

Regression Line:

A regression line is a statistical tool that shows the correlation between two variables. Specifically, it is used when the variation of one (the dependent variable) depends on changes in the value of the other (the independent variable).

Simple linear regression has two cases:

The formula for the least squares regression line (LSRL) from Y to X is:

                           Y=a + bX + ɛ

where,

Y is the dependent variable.

a is the Y intersection.

b is the slope of the regression line.

X is the independent variable.

ɛ is the residual (error).

and

b = (N∑XY-(∑X)(∑Y) / (N∑X2– (∑X)2) ;

and

a = (∑Y – b ∑X) / N

where, N is the total number of observations.

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The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

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Answer:

The exact value of cos(45°) is √(2) / 2.

Step-by-step explanation:

Answer:

Answer:√2/2=cos45

√2/2×√2/√2=2/2√2

1/√2

Answer:

y - 2 = 1/8(x+8)

Step-by-step explanation:

The slope of lines that are perpendicular are each other's opposite reciprocal.

so, the reciprocal of -8 = -1/8, then find the opposite of -1/8 which is 1/8.

Point-slope form : y - y1 = m(x - x1)

(x1,y1) = (-8,2)

so, y - 2 = 1/8(x+8) is our final answer!

Answer:

(x + 3)^2 + y^2 = 20^2

Step-by-step explanation:

If the center is (-3, 0), then the standard equation of a circle, (x - h)^2 + (y - k)^2 = r^2 becomes (x + 3)^2 + (y - 0)^2 = 20^2, or

(x + 3)^2 + y^2 = 20^2

By using the concept of mean and standard deviation, it can be calculated that the critical values of t has an absolute value of 2.989

Confidence interval = (-2.989, 2.989)

What is mean and Standard Deviation?

Suppose there is a data set. Mean is used to find the average of all the values of the data set.

Variance is the sum of the square of the deviation from the mean.

On taking the square root of the variance, Standard deviation is obtained.

Biology              Psychology

Majors                Majors                         d          \(d - \bar{d}\)            \((d - \bar{d})^2\)

87                         87                             0            9.143           83.5944

78                         96                            -18         -8.857          78.4464

77                         92                            -15         -5.857          34.3044

85                         90                            -5           4.143           17.1644

83                         90                            -7            2.143           4.5924

88                         91                             -3            6.143           37.7364

73                         89                            -16          -6.857          47.0184

Total                      -                              -64            -              302.8568

Here number of observations (n) = 7

\(\bar{d} = \frac{-64}{7}\)

\(\bar{d} = -9.143\)

Standard Deviation (SD) = \(\sqrt{\frac{302.8568}{6}}\)

SD = 7.1047

Now,

\(H_0 : \mu_d = 0\ against \ H_a : \mu_d \neq 0\\\)

The test statistic used here is t - test

\(t = \frac{-9.143 - 0}{\frac{7.1047}{\sqrt{7}}}\\\)

t = 3.4

Degree of freedom (Df) = 7-1 = 6

Critical value of t at the given level of significance at Df of 6 = 2.989

At 0.05 level of significance, 3.4 falls to the right of 2.989 which is the rejection region

So the null hypothesis has been accepted

Absolute value of Critical values of t =2.989

Confidence interval = (-2.989, 2.989)

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