Share £45 in the ratio 2:3


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Answer:

x= −5±√17/4

Step-by-step explanation:

Answer:

2 x 3 = 6 cups

Step-by-step explanation:

The net worth of the dentist is $381,585. And the correct option is D.

A person's or company's net worth is the value of their assets less the amount of liabilities they have.

The personal assets and liabilities of a dentist are listed below.

Car Value = $26,250

Car Loan = $4,600

Savings Account Balance = $42,607

Office Equipment = $19,400

Student Loans = $2,949

Credit Card Balance = $413

Checking Account Balance = $79,391

Home Value = $218,950

Net Worth of Dentist's

= Personal assets - liabilities

= 26250 - 4600 + 42607 + 19400 +79391 + 218,950 - 413

= 386598 - 4600 - 413

= 381585

= $381,585

Therefore, net worth is $381,585.

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Answer: It represents that 2 will be divided into 3 equal parts.

Step-by-step explanation:

The given fraction : \(\dfrac{2}{3}\)

here, Numerator = 2

Denominator = 3

It represents that 2 will be divided into 3 equal parts.

Given:

We can make use of a slope field to sketch the two approximate solutions of the differential equation. The slope field for the differential equation is dy/dx.

a) We will now mark the point (0,4) on the slope field as shown in the image below.

Solution 1: We will begin at the point (0, 4) and move along the slope lines to obtain the first solution. This first solution is shown in blue in the image below,

Solution 2: For the second solution, we will begin at the point (0,4) and move along the slope lines in the opposite direction to obtain the second solution. This second solution is shown in red in the image below.

Substituting x = 0 and y = 4, we get: 4 = sin(0) + C4 = 0 + CC = 4

Therefore, the particular solution is: y = sin(x) + 4

Below is the graph of the solution: Graph of y = sin(x) + 4

We can compare this graph of the particular solution with the sketches in part (a).

The graph of the solution matches the first solution in blue.

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The integral of (42³ - 2r + 7) dz is equal to (42³ - 2r + 7)z + C.

To integrate the function (42³ - 2r + 7) dz, we treat r as a constant and integrate with respect to z. The integral of a constant with respect to z is simply the constant multiplied by z:

∫ (42³ - 2r + 7) dz = (42³ - 2r + 7)z + C

where C is the constant of integration.

Note: The integral of a constant term (such as 7) with respect to any variable is simply the constant multiplied by the variable. In this case, the variable is z.

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In mathematics, the place value chart is a tool that helps students understand the value of digits in a number. It is a visual representation of how digits are grouped and arranged to represent numbers. The place value chart is arranged in columns, with each column representing a different place value.

The place value chart starts with the ones place, also called units place. This is the rightmost column and it represents the ones digit in a number. The next column is the tens place, which represents the tens digit in a number. The hundredth place represents the hundreds digit and so on. Each column is ten times larger than the previous one.

A place value chart can be used to understand the value of a digit in a number.

Place value chart also helps to understand decimal numbers, which are numbers that have a decimal point. The decimal point separates the whole numbers from the fractional numbers. Each place to the right of the decimal point represents a smaller value.

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The equation of a line, 7x - y = -9, converted to slope-intercept form is: y = 7x + 9

If "m" is the slope of a line and "b" is the y-intercept, the equation of the line in slope-intercept form is given as: y = mx + b.

Thus, given the equation, 7x - y = -9, rewrite/convert to slope-intercept form as follows:

7x - y = -9

-y = -7x - 9

y = 7x + 9

Therefore, the equation of a line, 7x - y = -9, converted to slope-intercept form is: y = 7x + 9

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Answer:

1/36

Step-by-step explanation:

When you put something to a negative exponent, you are essentially putting it over 1. So 6^-2 would become 1/6^2. Solving 6^2 gives you 36, so the full equation would be 1/36.

Answer:

\(slop = (175 - 125) \div (2 - 1) = 50 \\ y - 125 = 50 \times (x - 1) \\ y = 50x - 50 + 125 \\ y = 50x + 75\)

you can solve problems by this equation

Let the number be x.

\( \frac{7}{2x} = 5 \\ = > \frac{1}{2x} = \frac{5}{7} \\ = 2x = \frac{7}{5} \\ = > x = \frac{7}{5 \times 2} \\ = > x = \frac{7}{10} \)

\(x = \frac{7}{10} \)

Hope it helps.

Do comment if you have any query.

Answer:

−2.5f−21.65

Step-by-step explanation:

When common difference, \(d=\sqrt{39}\) then the largest term of these four terms will be \(6+3\sqrt{39}\)

Let four consecutive terms of AP is,

     \(a-3d, a-d, a+d, a+3d\)

Since, sum of all four terms is 24

So,   \(a-3d+a-d+a+d+a+3d=24\\\\a=6\)

And product is 945

So,  \((a-3d)(a+3d)(a-d)(a+d)=945\\\\9d^4-360d^2+351=0\\\\d^4-40d^2+39=0\\\\(d^2-1)(d^2-39)=0\\\\d=1,-1\\d=\sqrt{39}, -\sqrt{39}\)

When d= 1, -1 then largest term is 9

When \(d=\sqrt{39}, -\sqrt{39}\) then largest term is \(6+3\sqrt{39}\)

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The coordinates of point N are (8.66, 21)

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The coordinates of a point dividing a straight line joining two coordinates in the ratio m : n is given by -

x =  \($\frac{mx_2+nx_1}{m+n}\)

y = \($\frac{my_2+ny_1}{m+n}\)

We have LMN as a straight line such that the coordinates of L are (-3,1) , coordinates of M are (4,9) and LM : MN is 2 : 3.

Assume the coordinates of point N are (a, b).

We can write -

9 =  (2b + 3)/5

4 = (-6 + 3a)/5

2b + 3 = 45

b = 21

3a - 6 = 20

3a = 26

a = 8.66

Therefore, the coordinates of point N are (8.66, 21)

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Logistic Regression is preferred over Linear Regression for classification problems for several reasons.

Firstly, the predicted values in Logistic Regression are much more interpretable as they lie in the range of 0 to 1, which represents the probability of a certain outcome occurring. In contrast, Linear Regression predicts continuous values which are difficult to interpret as probabilities.
Secondly, the sigmoid curve used in Logistic Regression fits the data better than a straight line used in Linear Regression. This is because the sigmoid curve captures the non-linear relationships between the input variables and the output variable, which is often the case in classification problems.
Lastly, Logistic Regression uses maximum likelihood estimation to estimate parameters, whereas Linear Regression minimizes the mean squared error. Maximum likelihood estimation is a more appropriate method for estimating parameters in classification problems as it takes into account the binary nature of the output variable. Linear Regression, on the other hand, does not consider this binary nature and may not produce accurate results in classification problems.

In summary, Logistic Regression is preferred over Linear Regression for classification problems because of its interpretable predicted values, better fit to non-linear relationships, and appropriate method of estimating parameters using maximum likelihood estimation.

We prefer Logistic Regression over Linear Regression for classification problems for the following reasons:

1) Predicted values in Logistic Regression are more interpretable as they lie in the range of 0 to 1, representing probabilities of class membership, while Linear Regression predicts continuous values which may not directly indicate class membership.

2) The sigmoid curve in Logistic Regression fits the data better for classification problems, as it represents a natural threshold between classes, while a straight line from Linear Regression may not provide clear separation between classes.

3) Logistic Regression uses maximum likelihood estimation to estimate parameters, which makes it more suitable for classification problems as it finds the best fit for the probability of class membership. Linear Regression minimizes the mean squared error, which focuses on minimizing the distance between predicted and actual values, but does not directly optimize for class membership probabilities.

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Answer:

(7x+18)°+(5x-6)° =180° adjacent angles sum up to 180°

7x+5x+18-6=180

12x+12=180

12x=180-12

12x=168

dividing through by 12

x=14

(3y+11)°=(7x+18)° corresponding angles

3y+11=7(14)+18

3y+11=98+18

3y+11=116

3y=116-11

3y=105

dividing through by 3

y=35

Answer:

Next term is 31

Step-by-step explanation:

The numbers keep going up by 7.

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Answer:

 -x2 + 9x - 15

 —————————————

       3      

Step-by-step explanation:

 -x2 + 9x - 15

 —————————————

       3      

The graph that represents a function is graph C.

There is something called the vertical line test. It says that if we have the graph of a relation and we cand draw a vertical line that touches the graph more than once, then it is not a function.

In this case, for options A, B, and D, we can see that we can draw vertical lines that touch the graph more than once, then tese are not functions.

Then the correct option is C, that is a parabola, which is a function.

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Answer:

sorry I don't know the answer

This is because of the rule that if we have rational coefficients, then one root of \(a+\sqrt{b}\) must have a conjugate pair of \(a-\sqrt{b}\). Multiplying the conjugates will have the square roots cancel out.

For more information, check out the difference of squares rule.

Answer:

No one was wrong.

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x-5)^2+2^2=4^2

x-5+2=4

x=7

the radius of convergence (R) is ∞, and the interval of convergence (I) is (-∞, ∞).

To find the radius of convergence (R) and the interval of convergence (I) of the series given by:

∑ 7(-1)^(n-1) n^n x^n

We can apply the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is L as n approaches infinity, then the series converges absolutely if L < 1, diverges if L > 1, and the test is inconclusive if L = 1.

Let's apply the ratio test to the given series:

L = lim(n→∞) |(7(-1)^(n-1) (n+1)^(n+1) x^(n+1)) / (7(-1)^(n) n^n x^n)|

Simplifying and canceling out common factors:

L = lim(n→∞) |(7(n+1) x) / (n^n)|

Taking the absolute value:

L = lim(n→∞) |7(n+1) x / n^n|

Now, let's evaluate the limit:

L = |7x| lim(n→∞) (n+1) / n^n

The limit can be further simplified by applying the ratio test for the sequence:

lim(n→∞) (n+1) / n^n = 0

Therefore, the limit L simplifies to:

L = |7x| * 0 = 0

Since L = 0, which is less than 1, the ratio test indicates that the series converges absolutely for all values of x. Thus, the series converges for all x.

For a series that converges for all x, the radius of convergence (R) is infinite (∞), and the interval of convergence (I) is the entire real number line (-∞, ∞).

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f(x) and g(x) are not inverses because f(g(x)) and g(f(x)) do not both equal x.

For a function f:X—>Y, its inverse f^{-1}:Y—>X  admits an explicit description,

it sends each element y∈Y to the special element x∈X

such that, f(x)=y.

Hence, f(x) and g(x) are not inverses because f(g(x)) and g(f(x)) do not both equal x.

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Answer:

$2945.8

Step-by-step explanation:

226.60 multiplied by 13 is 2945.8.  

To check the answer you divide 2945.8

and 13 to get 226.60 or 226.6

Answer:

Step-by-step explanation:1.10+1.10+1.10+1.00+1.00+1.00+1.00

Answer:

Step-by-step explanation: 1.50