Carissa leaves a 20% tip at her favorite restaurant. her bill is 32$. what tip should she leave? (Type the answer as $ amount).​

Answer:

sorry on the wrong one

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

29 is the ffggy and the

all the three terms on the right-hand side are positive and hence dy/dx is negative. Thus, this satisfies all the properties given. Therefore, the required autonomous differential equation is:dy/dx = a (y - 3) (y) (y - b).

We can obtain the autonomous differential equation having all of the given properties as shown below:First of all, let's determine the equilibrium solutions:dy/dx = 0 at y = 0 and y = 3y' > 0 for 0 < y < 3For -∞ < y < 0 and 3 < y < ∞, dy/dx < 0This means y = 0 and y = 3 are stable equilibrium solutions. Let's take two constants a and b.a > 0, b > 0 (these are constants)An autonomous differential equation should have the following form:dy/dx = f(y)To get the desired properties, we can write the differential equation as shown below:dy/dx = a (y - 3) (y) (y - b)If y < 0, y - 3 < 0, y - b < 0, and y > b. Therefore, all the three terms on the right-hand side are negative and hence dy/dx is positive.If 0 < y < 3, y - 3 < 0, y - b < 0, and y > b. Therefore, all the three terms on the right-hand side are negative and hence dy/dx is positive.If y > 3, y - 3 > 0, y - b > 0, and y > b. Therefore, all the three terms on the right-hand side are positive and hence dy/dx is negative. Thus, this satisfies all the properties given. Therefore, the required autonomous differential equation is:dy/dx = a (y - 3) (y) (y - b).

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The equation will be changed into = f(x)= 32

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

A statement is not an equation if it has no "equal to" sign.

A mathematical statement called an equation includes the sign "equal to" between two expressions with equal values.

Hence, The equation will be changed into = f(x)= 32

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The constant of proportionality for the smoothie is 0.353.

It should be noted that the constant of proportionality shows the proportional relationship between the variables that are given.

In this case, to make a smoothie you use 12 cup of yogurt for every 34 cup of fruit, the constant of proportionality will be:

y = kx

where y = number of cups of fruit needed

x= number of cups of yogurt needed to make a smoothie.

This will be:

y = kx

12 = 34k

Divide through by 34

k = 12/34

k = 0.353

The constant is 0.353

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Answer:

Rs. 25,468.8

Step-by-step explanation:

A = p(1 + r/n)^nt

Where,

P = principal = RS. 24,000

r = interest rate = 4%= 0.04

n = number of periods = 2

t = years = 1 year and 6 months = 1.5 years

A = p(1 + r/n)^nt

= 24,000(1 + 0.04/2)^2*1.5

= 24,000(1 + 0.02)^3

= 24,000(1.02)^3

= 24,000( 1.0612)

= 25,468.8

A = Rs. 25,468.8

Answer:

784,000 people in total

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

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Answer:

£3691 (nearest pound)

Step-by-step explanation:

Consider the rate of compound interest is r and the initial amount of savings is P, hence

\(P \ + \ P \ \times \ r \ = \ P \ (\ 1 \ + \ r \ ) \qquad (Final \ amount \ for \ the \ 1st \ year ) \\ \\ \ P \ (\ 1 \ + \ r \ ) \ + \ P \ (\ 1 \ + \ r \ ) \ \times \ r \ = \\ \ P\ ( \ 1\ + \ r \ ) \ ( \ 1 \ + \ r \ ) \ = \ P \ {( \ 1 \ + \ r \ )}^2 \qquad (Final \ amount \ for \ the \ 2nd \ year) \\ \\ \ P \ {(\ 1 \ + \ r \ )}^2 \ + \ P \ {(\ 1 \ + \ r \ )}^2 \ \times \ r \ = \\ \ P\ {( \ 1\ + \ r \ )}^2 \ ( \ 1 \ + \ r \ ) \ = \ P \ {( \ 1 \ + \ r \ )}^3 \\ \\ (Final \ amount \ for \ the \ 3rd \ year)...\)  

Therefore, the final amount of savings after nth years of compund interest is

\(P \ {( \ 1 \ + \ r \ )}^n\).

Given that 4.2% compound interest was used for the first 4 years to a savings of £2350, thus

\(Final \ amount \ for \ the \ first \ 4 \ years \ = \ 2350 \ {( \ 1 \ + \ \frac{4.2}{100} \ )}^4 \ = \ 2770.36\)

Then, taking the final amount of savings previously into an initial amount for the next 6 years with 4.9% compound interest.

\(2770.36 \ {( \ 1 + \frac{4.9}{100} \ )}^6 \ = \ 3691.40 \ = \ 3691 \ (nearest \ pound)\)

The total number of ways to partition the set of n+1 distinct objects into k nonempty subsets is {n+1,k} = k{n,k} + {n,k-1}, as required.

To show that {n+1,k}=k{n,k}+{n,k-1}, we can use a combinatorial argument.

Consider a set of n+1 distinct objects. We want to partition this set into k nonempty subsets. We can do this in two ways

Choose one of the n+1 objects to be the "special" object. Then partition the remaining n objects into k-1 nonempty subsets. This can be done in {n,k-1} ways.

Partition the n+1 objects into k nonempty subsets, and then choose one of the subsets to be the subset that contains the special object. There are k ways to choose the subset that contains the special object, and once we have chosen it, we need to partition the remaining n objects into k-1 nonempty subsets. This can be done in {n,k-1} ways.

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Answer:

choice 1) 312 cm²

Step-by-step explanation:

area = (16 x 12) + (10 x 12) = 312 cm²

Answer:

312

Step-by-step explanation:

triangle：

10x12/2=60

two triangle：

60x2=120

rectangle：

16x12=192

add up：

120+192=312

You have a number expresed as units, tens, hundreds and thosands and need to determine which number they form.

> 30 ones refers that this number has 30 units, it can laso be expresed as 3 tens.

> 2 thousands is equal to 2000

> 4 hundreds is equal to 400

> 60 ten, to determine this number you have to multiply 60 by 10 = 600

> 100 hundreds, means that you have 100 times one hundred, 100*100= 10000

Add all numbers: 30 + 2000 + 400 + 600 + 10000= 13030

While solving, you can treat inequalities the exact same as you would treat equations.  Pretend the inequality sign is an equals sign.  Now solve for x.

-3x + 6 < 27

-3x < 21

3x < -21

x < -7

Using logarithmic function concepts, it is found that the correct statement is:

x = 9 is a true solution and x = -9 is an extraneous solution.

A logarithmic function is modeled by:

\(a = \log_{b}{x}\)

It means that:

\(b^a = x\)

In this problem, we have that:

\(2\log_{3}{x} = 4\)

Applying the power property:

\(\log_3{x^2} = 4\)

Applying the definition:

\(x^2 = 3^4\)

\(x^2 = 81\)

\(x = \pm 9\)

As the logarithm function is defined only for positive values, the correct statement is:

x = 9 is a true solution and x = -9 is an extraneous solution.

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Answer:

D on edge

Step-by-step explanation:

x=9 is true soltion and x = -9 is an extraneous soltion

A 94.6 L gasoline with a density of 0.680 g/cm^3 has a mass of 64328 g.

Density is defined as the ratio between the mass of a substance and the volume it occupies. Denoted by ρ, density is mass per unit volume and the formula is given below:

ρ =  mass / volume

Converting first the volume from L to cm^3.

1 L = 1000 cm^3

94.6 L = 94.6(1000 cm^3)

94.6 L = 94,600 cm^3

Given the density of the gasoline and its volume, solve for the mass of the gasoline using the formula for the density.

ρ =  mass / volume

0.680 g/cm^3 = mass / 94,600 cm^3

mass = 0.680 g/cm^3 (94,600 cm^3)

mass = 64328 g

mass = 64.328 kg

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Answer:

3/7

Explanation:

9 yellow flowers / 21 number of flowers

9/21 = 3/7

The percent of those interviewed said they like orange juice for breakfast is 58%.

A percentage is a number or ratio that can be expressed as a fraction of 100 in mathematics. If we need to calculate the percentage of a number, divide it by the whole and multiply by 100. As a result, the percentage denotes a part per hundred. The term % refers to one hundred percent.

The percent of those interviewed said they like orange juice for breakfast will be:

= Orange juice taker /  Total respondent

= 29/50

= 0.58

= 58%

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Answer:

22

Step-by-step explanation:

17+(8-5)x5

17+3×5

17+15

22

Answer:

255

Step-by-step explanation:

B stands for brackets

O stands for order

D stands for devision

M stands for multiplication

A stands for addition

S stands for subtraction

If you follow it in the right order then you will find your answer so just follow it in the right order...

Answer:

4. 12 in.

5. 3 in.

6. 3in per hour

7. slope would=3

Step-by-step explanation:

The shape A is the enlargement of shape C.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

An enlargement of a shape is a transformation that results in a larger or smaller version of the original shape while keeping the shape's angles the same. The process involves multiplying the length, width, and height of the original shape by a common scale factor.

From the graph, the shape A is the enlargement of shape C.

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Answer:

\(\left[\begin{array}{ccc}63&44&\\36&25&\end{array}\right]\)

Step-by-step explanation:

\(\left[\begin{array}{ccc}63+0&42+2\\36+0&24+1\end{array}\right]\)

Answer:

$1.25

Step-by-step explanation:

Subtract $0.25 by $1.50

$1.50-$0.25=$1.25

Answer:

1) Yes

2) 2.07 hours/day

Step-by-step explanation:

1)

2.2 + 4 + 2 1/4 + 0 + 1.9 =

= 6.2 + 2.25 + 1.9

= 10.35

She danced a total of 10.35 hours, so she did meet her goal.

2)

10.35/5 = 2.07

She danced an average of 2.07 hours per day.

Answer:

Step-by-step explanation:

Always do opposite. E.g, opposite of square is square root.

x(x + 4) = 6

expand brackets

x^2 + 4 = 6

minus 4 from both sides

x^2 = 6 - 4

square root everything

x = \(\sqrt{6-4}\)

The solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.

Any equation of the form \(\rm ax^2+bx+c=0\) where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

\(\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}\)

We have an equation:

x(x + 4) = 6

By distributive property:

x² + 4x = 6

x² + 4x - 6 = 0

a = 1, b = 4, c = -6

Plugging all the values in the formula:

\(\rm x = \dfrac{-4 \pm\sqrt{4^2-4(1)(-6)}}{2(1)}\)

After calculating:

\(\rm x = \dfrac{-4 \pm\sqrt{40}}{2}\)

\(\rm x=-2+\sqrt{10},\ \ \ or \ \ \ x=-2-\sqrt{10}\)

Thus, the solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.

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Answer:

\(a = 3 \times 5 - 3 = 12 \\ b = 3 \times 1 - 1 = 2 \\ c = 3 \times 4 - 1 = 11\)

The  solution set of the equations is precisely the span of E, u, and v, which is a superset of W.

To find a set of homogeneous equations for which the corresponding solution set is greater than 2W, we can use the fact that the dimension of a vector space is equal to the number of linearly independent vectors that span it. Since W is spanned by the single vector E, which has dimension 1, we need to find at least two linearly independent vectors whose span is a superset of W.

One way to do this is to consider two linearly independent vectors u and v in the same plane as E, and then form a set of homogeneous equations by requiring that any linear combination of u, v, and E must be zero. Specifically, we can choose:

u = [1, 0, 1] and v = [0, 1, 1]

Then, we can form the following set of homogeneous equations:

x + z = 0
y + z = 0

Note that any solution to this set of equations must be a linear combination of u, v, and E, since any vector in the span of u, v, and E can be written as a linear combination of these three vectors. Furthermore, the dimension of the span of u, v, and E is 2, which is greater than the dimension of W (which is 1). Therefore, the solution set of this set of equations is greater than 2W.

To see this, note that any solution to the equations x + z = 0 and y + z = 0 can be written in the form [x, y, z] = a u + b v, where a and b are scalars. Moreover, any linear combination of E, u, and v can be written in this form as well. Therefore, the solution set of the equations is precisely the span of E, u, and v, which is a superset of W.

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Answer:

0 , 3

Step-by-step explanation:

please see above first square is 0 and 2nd 3

Answer:

22 m

Step-by-step explanation:

Diameter d = 7 m

Circumference of the circle C =?

\(C = \pi d = 3.14 \times 7 \\ \\ C= 21.98 \: m\\ \\ C \approx 22.0 \: m\)

The value of the standard deviation of the variance S is equivalent to 250 and the value of the variance (S) is equivalent to 62500.

Given that:

2Ax = 0.08

Ax = 0.2

A fully discrete whole life insurance issued to (x) is 1000.

Firstly we have to find out the value of variance S.

Variance S = (insurance issued)^2 * [2Ax - Ax^2]/(1- Ax)^2

Variance S = (1000)^2 * [0.08 -  0.2^2]/(1- 0.2)^2

Variance S = (1000)^2 * [0.04]/.64

Variance S = (1000)^2 * .0625

Variance S = 62500

Standard deviation of S = (insurance issued) * [\(\sqrt{2Ax - Ax^2}\)]/(1- Ax)

Standard deviation = 1000 * [\(\sqrt{0.08 - 0.2^2}\)]/(1- 0.2)

Standard deviation = 1000 * 0.2/0.8

Standard deviation = 1000 * 1/4 = 250

The value of the standard deviation of the variance S is equivalent to 250 and the value of the variance (S) is equivalent to 62500.

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