The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.21 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.

will give crown if answered correctly..

Answer: Observational study

Step-by-step explanation:

The study illustrated in the question is an observational study. It is referred to as an observational study, because in this case, the price of the individual cereals us not being controlled by the students. They've no control over it.

If it was an experiment, there'll have been a control group and the students will have control over the price. Also, the sampling methods used here is a systematic random sampling.

Answer:

we use quadratic formulae

-b± square root of (b²-4ac )all over 2a

Taking into account the change of units, the player ran 90 feets in the football game.

In first place, the rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

That is, what is intended with it is to find the fourth term of a proportion knowing the other three.  

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied.

To solve a direct rule of three, the following formula must be followed, being a, b and c known data and x the variable to be calculated:

a ⇒ b

c ⇒ x

So: \(x=\frac{cxb}{a}\)

The direct rule of three is the rule applied in this case where there is a change of units.

To perform in this case the conversion of units, you must first know that 1 yard = 3 feets. So, if 3 feets is 1 yard, how many feets equals 30 yards?

1 yard ⇒ 3 feets

30 yards ⇒ x

So:  \(x=\frac{30 yardsx3 feets}{1 yard}\)

Solving:

x= 90 feets

In summary, the player ran 90 feets in the football game.

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Answer: 480 in^3

Step-by-step explanation:

v= l * w*h

v = 12 * 8 * 5

v=  480

The derivative of the function given is y' = 21e^(21x). To find the derivative of this function, we can use the chain rule of differentiation.

The chain rule states that if we have a function that can be written as the composition of two functions, f(x) = g(h(x)), where g and h are both differentiable functions, then the derivative of f(x) is given by:

f'(x) = g'(h(x)) * h'(x)

In the given function, g(x) = e^x and h(x) = 21x. Therefore, we have:

y = g(h(x)) = e^(21x)

Using the chain rule, we get:

y' = g'(h(x)) * h'(x) = e^(21x) * 21

Therefore, the derivative of y = e^(21x) is y' = 21e^(21x). We used the chain rule of differentiation to find this derivative. The chain rule is a powerful tool in calculus that allows us to find the derivative of complex functions that can be written as compositions of simpler functions.

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Answer:

option A

Step-by-step explanation:

Distance from earth to moon = 2.4 × 10⁵ miles

Distance from earth to sun = 9.3 × 10⁷

x × 2.4 × 10⁵ = 9.3 × 10⁷

\(x = \frac{9.3 \times 10^7}{2.4 \times 10^5}\)

  \(=\frac{9.3}{2.4} \times 10^2\\\\=3.875 \times 10^2\\\\=3.9 \times 10^2\)

The distance from the earth to the sun is 3.9 × 10² times distance from the earth  the moon

If two polygons are similar, then they have the same shape but not necessarily the same size.

They can be either enlarged or reduced in size or reflected. Hence, even though the polygons are similar, they do not have to be drawn to scale.

The term scale refers to the ratio of any two corresponding lengths in two geometric figures, so if two figures are drawn to scale, the ratio of their corresponding lengths in the drawing is the same as the ratio of their corresponding lengths in the actual figures.

Therefore, if two polygons are similar but not drawn to scale, the drawing may not be an accurate representation of the actual figures, as the scaling information may not be consistent.

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Answer:

1

Step-by-step explanation:

Answer:

\(81 {d}^{4} {e}^{7} \)

Step-by-step explanation:

Use properties of degrees:

1. When multiplying different degrees on one term, the degree indicators must be multiplied, for example:

\(( { {x}^{2}) }^{3} = {x}^{2 \times 3} = {x}^{6} \)

2. When dividing like terms (with the same base) with different degrees, the degree indicators must be subtracted, for example:

\( \frac{ {x}^{5} }{ {x}^{2} } = {x}^{5 - 2} = {x}^{3} \)

3. When squaring a negative term in parentheses, the minus is eliminated, for example:

\(( { - 3x})^{2} = 9 {x}^{2} \)

.

\( \frac{ {(( { - 3d})^{2} \times {e}^{4} )}^{3} }{ {9d}^{2} \times {e}^{5} } = \frac{729 {d}^{6} \times {e}^{12} }{9 {d}^{2} \times {e}^{5} } = 81 {d}^{4} \times {e}^{7} \)

The area of the sector which is the white triangle adding the shaded region is 68.9/360*π*9.28^2=51.78005(rounding to 5th digit after decimal point for accuracy before we do final round for answer)

The area of the white triangle in the sector has area 1/2*9.28^2*sin(68.9)= 40.17223(rounding to 5 digits again for some accuracy.

Now we take out the white triangle from the sector.

51.78005-40.17223=11.60782

rounding to the nearest tenth we get 11.6 cm^2

Problem done!

Hope this helped and if you have any questions about my explanation just ask in the comment and I will answer.

Answer:

x = 6.928

Step-by-step explanation:

Since we don't know the hypotenuse, we will use tan

tanΘ = opposite/adjacent     (Θ = theta, which is basically the variable for an angle)

tan30° = x/12

to find x, multiply 12 to the other side

12tan30° = x            (plug this into a calculator)

x = 6.928

Answer:

\(x + \frac{5}{3}-x - \frac{3}{2} = \frac{1}{6}\)

Step-by-step explanation:

Given

\(x + \frac{5}{3}-x - \frac{3}{2}\)

Required

Solve

\(x + \frac{5}{3}-x - \frac{3}{2}\)

Collect like terms

\(x + \frac{5}{3}-x - \frac{3}{2} = x -x+ \frac{5}{3} - \frac{3}{2}\)

\(x + \frac{5}{3}-x - \frac{3}{2} = \frac{5}{3} - \frac{3}{2}\)

Take LCM

\(x + \frac{5}{3}-x - \frac{3}{2} = \frac{10 -9}{6}\)

\(x + \frac{5}{3}-x - \frac{3}{2} = \frac{1}{6}\)

The equation has no solutions.

To solve the given equation, we can start by simplifying the expression on the left side.

The expression can be simplified by finding a common denominator for the fractions. The common denominator is x(x + 2), so we can rewrite the equation as follows:

2(x)(x + 2) - (x + 2)(1) = -4

Simplifying further:

2x^2 + 4x - x - 2 = -4

Combining like terms:

2x^2 + 3x - 2 = -4

Moving all terms to one side:

2x^2 + 3x - 2 + 4 = 0

2x^2 + 3x + 2 = 0

Now, we can try to solve this quadratic equation by factoring, completing the square, or using the quadratic formula. However, upon further examination, we can see that this equation does not factor nicely, and the discriminant of the quadratic formula is negative, indicating that there are no real solutions.

Therefore, the equation has no solutions to satisfy the given equation. When we substitute any value for x, the equation will not hold true.

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We have a group of 169 students that needs to be seated in a square formation. Then, the number of rows has to be the square root of 169 :-

\(r = \sqrt{169} = 13\)

Then, a square of 13 rows and 13 columns will fit the 169 students.

If the number of students is 1024, then the number of rows N can be calculated as :-

\( {N}^{2} = 1024\)

\(N = \sqrt{1024} \)

\(N = 32\)

169 students will seat in a 13×13 formation.

1024 students will seat in a 32×32 formation (N=32)

-------------------★-------------------

Answer:

20

Step-by-step explanation:

multiples

4,8,12,16,20

10,20

Answer:

Step-by-step explanation:

Refer to attached diagram with added details.

Circle O with:

Since r = OC + CD, the radius is 4 cm.

Consider right triangles OAC or OBC:

Recall the property of 30°x60°x90° triangle:

It means OC: OA = 1 : 2, so angles AOC and BOC are both 60° as adjacent to short legs.

In order to find the shaded area we need to find the area of sector OADB and subtract the area of triangle OAB.

Area of sector:

Area of triangle AOB:

The shaded area is:

An equation that represents the relationship include the following: A. y = 11x.

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using the various data points from table D as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 55/5 = 110/10 = 165/15

Constant of proportionality, k = 11.

Therefore, the required linear equation is given by;

y = kx

y = 11x

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

1)The pdf of U is f(u) = (1/(2√u)) exp(-u/2) for u > 0 and f(u) = 0 otherwise.

2)U follows a gamma-distribution with parameter a = 3/2 or a = 1/2.

3)x = (y²/2) and dx = y dy using exponential distribution

We can rewrite the integral as:

I(1/2) = ∫₀^∞ y exp(-y²) dy

       = 1/2 ∫₀^∞ exp(-u/2) du

This is the same as the integral for f(u) when u = 1/2.

Therefore, we have:

I(1/2) = V1

(1) For U = Z², we can use the method of transformations.

Let g(z) be the transformation function such that

U = g(Z)

   = Z².

Then, the inverse function of g is given by h(u) = ±√u.

Thus, we can apply the transformation theorem as follows:

f(u) = |h'(u)| g(h(u)) f(u)

     = |1/(2√u)| exp(-u/2) for u > 0 f(u) = 0 otherwise

Therefore, the pdf of U is given by:

f(u) = (1/(2√u)) exp(-u/2) for u > 0 and f(u) = 0 otherwise.

(2) We are given that f(1/2) = VT, where V is a constant.

We can substitute u = 1/2 in the pdf of U and equate it to VT.

Then, we get:VT = (1/(2√(1/2))) exp(-1/4)VT

                            = √2 exp(-1/4)

This gives us the value of V.

Now, we can use the pdf of the gamma distribution to find the parameter a such that the gamma distribution matches the pdf of U.

The pdf of the gamma distribution is given by:

f(u) = (u^(a-1) exp(-u)/Γ(a)) for u > 0 where Γ(a) is the gamma function.

We can use the following relation between the gamma and the factorial function to simplify the expression for the gamma function:

Γ(a) = (a-1)!

Thus, we can rewrite the pdf of the gamma distribution as:

f(u) = (u^(a-1) exp(-u)/(a-1)!) for u > 0

We can now equate the pdf of U to the pdf of the gamma distribution and solve for a.

Then, we get:

(1/(2√u)) exp(-u/2) = (u^(a-1) exp(-u)/(a-1)!) for u > 0 a = 3/2

Therefore, U follows a gamma distribution with parameter

a = 3/2 or equivalently,

a = 1/2.

(3) We need to show that I(1/2) = V1.

Here, I(1) = ∫₀^∞ exp(-x) dx is the integral of the exponential distribution with rate parameter 1 and V is a constant.

We can use the change of variables y = √(2x) to simplify the expression for I(1/2) as follows:

I(1/2) = ∫₀^∞ exp(-√(2x)) dx

Now, we can substitute y²/2 = x to obtain:

x = (y²/2) and

dx = y dy

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Answer:

p=5/6

Step-by-step explanation:

Knowing the height of a rim and the diameter of the rim, we have that the rim diameter is 27.4 in.

The tire diameter can be calculated by adding the rim diameter and two times the tire height.
Formula: Tire diameter = Rim diameter + (2 x Tire height)

Given:
Tire height = 5.2 in
Rim diameter = 17 in

Plug in the given values into the formula to find the value of the tire diameter:
Tire diameter = 17 in + (2 x 5.2 in)
Tire diameter = 17 in + 10.4 in
Tire diameter = 27.4 in

Therefore, the correct answer is 27.4 in.

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The equation that describes this situation is:

105 = 7l

Let's break down the given information:

Mu walks laps to raise money for charity.

For each lap Mu walks, her sponsors will donate $7.

Mu has walked l laps.

The total amount raised by Mu is $105.

To write an equation to describe this situation, let's use the variables:

l represents the number of laps Mu has walked.

$7 represents the amount donated for each lap.

The equation can be written as follows:

Total amount raised = Amount donated per lap × Number of laps

$105 = $7 × l

Therefore, the equation that describes this situation is:

105 = 7l

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The number of different necklaces that Ginger can make, with the same ratio of pink to white beads is 5 necklaces.

To find the number of necklaces, find the smallest equivalent ratio of pink to white beats used to make the necklace.

Pink beads : White beads

30 : 35

( 30 / 5 ) : ( 35 / 5 )

6 : 7

To find the find the number of beads, divide the number of pink beads available by the number of pink beads in the ratio:

= 30 / 6

= 5 necklaces

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Step-by-step explanation:

1/5×80=80/5=16 because 1/5 out of 80 means to multiply 1/5 by 8o so the answer to that question is 16.

48÷1/2=48×2/1=96/1=96 because when you divide a fraction by fraction or a fraction with a number there is a rule that says you have to reverse the fraction on the right side and replace the division sign to a multiply sign and multiply. so the answer becomes 482)×2/1 which equals 96.

In a case whereby sheri’s cab fare was $32, with a 20% gratuity and no taxes. sheri's write a check to the cab driver for $40, this can be considered as being reasonable amount because it is  $1.60 more to the cab driver.

A gratuity is a sum of money that customers typically give to specific service sector employees, including those in the hotel industry, in addition to the service's base charge for the work they have completed.

Given ; Sheri’s cab fare was $32 and the percentage of gratuity is 20%

amount of gratuity = 20% 0f 32 = 6.40

The fare of the cab  + gratuity = 32 + 6.40 = 38.40

Check to the cab driver for $40 ,  implies ($40 - $38.40)= $1.60 more to the cab driver.

Hence, it is reasonable.

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Answer:

A

Step-by-step explanation:

The answer is negative so that eliminates one

and the greater sign is opposite of b so that makes the answer A!

Answer:

(0,6)

Step-by-step explanation:

The y intercept is where the line crosses the y axis or the coordinate where x = 0.

Here, when x is equal to 0, y is equal to 6 meaning that the y intercept is at (0,6)

The answers are a = -3.8, b = -2.6, c = 1.7, d = 4.4, and e = 1.0 based on the provided sentence.

Result for grid in mathematics

A multiplication table in mathematics is a mathematical chart used to describe an arithmetic operations for just an algebraic system (sometimes, less explicitly, a times table).

Here, in the given table x values of the first table is the y values of the second table, and y values of the first table are the x values of the second table.

Therefore,

On comparing the value of x and y from the given table;

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Answer:

Does the answer help you?

Answer:

\(\textbf{No, the answer is not correct }\).

Step-by-step explanation:

The student didn't use the quotient of powers property correctly. Instead of subtracting, the student divided the exponents within the parenthesis. So, x to the two-fifths power is the correct simplified form.

\((\frac{x^{2/5}\times x^{4/5} }{x^{2/5} } )\)

\(=(\frac{x^{6/5} }{x^{2/5} } )^{1/2}\)

\(=x^{6/5-2/5} )^{1/2}\)

\(=(x^{4/5} )^{1/2} =x^{2/5}\)

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