At utopian cafe you 80.00 for dinner you want to leave a 15% tip what is the tip what is the total amount you will leave

Answer:

  93

Step-by-step explanation:

First differences increase by 4 each time. The given numbers are a quadratic sequence that can be described by 2n² -2n +9. The 7th term would be 93.

_____

First differences are ...

  13-9 = 4, 21-13 = 8, 33-21 = 12, 49-33 = 16, 69-49 = 20

Second differences are ...

  8-4 = 4, 12-8 = 4, 16-12 = 4, 20-16 = 4

When second differences are constant, the sequence can be represented by a second-degree polynomial function. The leading coefficient is half the value of the second differences.

Answer:

Not a function

Step-by-step explanation:

Step-by-step explanation:

21x²-2x +1/2 = 0

x² - 2x ×21 + 1/2× 21 = 0

Answer:

4/11

Step-by-step explanation:

The probability of winning a new TV is the number of times you will win a TV over the total number of times you try to win a TV. In this case, the odds of winning a new TV are 4/7, or 4 wins every 7 loses. (Odds are probability of success to failure) Therefore, there are 4 wins for every 4 + 7 raffles, or 4/11.

The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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Answer: Adding will make a perfect square trinomial. It is always positive because it is the square of the number.

When a binomial is squared, the result is the square of the first term added to twice the product of the two terms and the square of the last term. a2+2ab+b2=(a+b)2anda2−2ab+b2=(a−b)2.

Hope this helps.

Step-by-step explanation:

Answer:

she paid 420 dollars for it

Step-by-step explanation:

30 percent of 600 is 180

Answer: I think ts -1/2

Step-by-step explanation: x+3x=-3x-2+3x

4x=-2

4x/4=-2/4

x= -1/2

hahahaha wht? lol sry im stupid tbh

Answer:

x intercept-

12,0

y intercept-

0,3

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s):

(12,0)

y-intercept(s):

(0,3)

Answer:

8

Step-by-step explanation:

bResponses

y = 8

y, = 8

y = 3

y, = 3

y=−3

Deejilani, this is the solution to the problem:

The information provided to us:

Mean = 28,000

S.D = 2,500

Number of tires = 2,000

Distance of cut-off (x) = 23,000

Step 1: Let's calculate the z-score, as follows:

z = (x - Mean)/Standard Deviation

z = (23,000 - 28,000)/2,500

z = -5,000/2,500

z = -2

Step 2: Now we calculate the Probability of z = -2, using the z-table, this way:

P (x < 23,000) = 0.02275

Step 3: Now we find the number of tires that are likely to wear out before 23,00 miles, as follows:

2,000 * 0.02275 = 45.5

Rounding to the next integer because tires cannnot be a decimal number: 46 tires are likely to wear out before 23,000 miles

The conclusion of the hypothesis testing is that; there is not enough evidence to support the claim that the mineral changes a person’s cholesterol level.

Hypothesis testing is defined as the method that is used to find the probability of the hypothesis to be proved in the future on the basis of the small population sample.

Let us first define the hypothesis in this problem;

Null Hypothesis; H₀: μ_d = 0

Alternative Hypothesis; Hₐ: μ_d ≠ 0 (Claim)

The degree of freedom is;

DF = n - 1

DF = 6 - 1

DF = 5

At a significance level of α = 0.10, with a DF of 5, the critical values are ±2.015.

Using a computer software, we can calculate the mean from the attached table as;

D' = ∑d/n

D' = 100/6 = 16.7

Similarly, the standard deviation is calculated from the formula;

S_d = √(n∑d² - (∑d)²)/(n(n - 1))

s_d = √(6.489 - 100²)/(6(6 - 1))

s_d = 25.4

The test statistic is gotten from the formula;

t = (D' - μ_d)/(s_d/√n)

t = (16.7 - 0)/(25.4/√6)

t = 1.610

This is less than the critical value and we fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim that the mineral changes a person’s cholesterol level.

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The mean for the number of people with the genetic mutation in such groups of 600 is 18.

Given that,

About 3% of the population has a particular genetic mutation.

This means that for any group of people, 3% of the people has a particular genetic mutation.

This is a binomial distribution.

Probability that people having genetic mutation = 3% = 0.03

Random sample size = 600

Mean for a binomial distribution can be calculated as,

Mean = n × p

         = 600 × 0.03

         = 18

Hence the mean number of people having genetic mutation is 18.

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Note that the notation   "∪C = {x : x ∈ for some S ∈ C} = ∪ { S:S ∈ C}" represents a mathematical statement involving sets.

∪C : This represents the  union (∪) of the sets in C.

{x : x ∈ for some S ∈ C}: This is the description or definition of the elements in the set formed by the union of sets in C.

It states that an element x belongs to the union of   sets in C if and only if x belongs to at least one set S that is an   element of the set C.

= ∪{ S:S ∈ C}   : This means that the union (∪) of sets in C is equal to the union of all sets S that belong to the set C.

In summary,  the statement is saying that the union of sets in C consists of all elements that belong to at least one set in C. It is the combined collection of elements from all sets in C.

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Answer:

This is GP with the first term of 512 and common ratio of 1/2

The formula for nth term is:

The number of teams after the 4th round:

Number of rounds to determine the champion:

Answer:

2a^4c-2ac^2-15

Step-by-step explanation:

Sorry, I not sure if this is right or not cause I don't know if the exponent for -4a^4c is that or -4a^4c-15, but I'm just going to go with -4a^4c. However aside from that you just combine like terms.

Answer:

\(2a^4c-2ac^2-15\)

Step-by-step explanation:

\(6a^4c+8ac^2-4a^4c-15-10ac^2\)

We need to organize this expression into groups of like terms, so we can combine them easier. There are 2 groups of like terms,

\(6a^4c-4a^4c\) and \(8ac^2-10ac^2\)

\(6a^4c-4a^4c+8ac^2-10ac^2-15\)

Add similar elements:

\(2a^4c+8ac^2-10ac^2-15\)

Add, \(8ac^2-10ac^2=-2ac^2\)

\(=2a^4c-2ac^2-15\)

OAmalOHopeO

a. \(2(3y-2x)\)

An algebraic expression is one that is composed of integer constants, variables, and algebraic operations. It is an expression obtained by performing a finite number of algebraic fundamental operations on symbols representing numbers.

Given expression is \(4x+6y-8x\)

\(4x+6y-8x=6y-4x\)

                  \(=\boldsymbol{2(3y-2x)}\)

So, expression \(4x+6y-8x\) is equivalent to a. \(\boldsymbol{2(3y-2x)}\)

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Answer:

\(\displaystyle \frac{75}{2}\) or \(37.5\)

Step-by-step explanation:

We can answer this problem geometrically:

\(\displaystyle \int^6_{-4}f(x)\,dx=\int^1_{-4}f(x)\,dx+\int^3_1f(x)\,dx+\int^6_3f(x)\,dx\\\\\int^6_{-4}f(x)\,dx=(5*5)+\frac{1}{2}(2*5)+\frac{1}{2}(3*5)\\\\\int^6_{-4}f(x)\,dx=25+5+7.5\\\\\int^6_{-4}f(x)\,dx=37.5=\frac{75}{2}\)

Notice that we found the area of the rectangular region between -4 and 1, and then the two triangular areas from 1 to 3 and 3 to 6. We then found the sum of these areas to get the total area under the curve of f(x) from -4 to 6.

Answer:

\(\dfrac{75}{2}\)

Step-by-step explanation:

The value of a definite integral represents the area between the x-axis and the graph of the function you’re integrating between two limits.

\(\boxed{\begin{minipage}{8.5 cm}\underline{De\:\!finite integration}\\\\$\displaystyle \int^b_a f(x)\:\:\text{d}x$\\\\\\where $a$ is the lower limit and $b$ is the upper limit.\\\end{minipage}}\)

The given definite integral is:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x\)

This means we need to find the area between the x-axis and the function between the limits x = -4 and x = 6.

Notice that the function touches the x-axis at x = 3.

Therefore, we can separate the integral into two areas and add them together:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x=\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\)

The area between the x-axis and the function between the limits x = -4 and x = 3 is a trapezoid with bases of 5 and 7 units, and a height of 5 units.

The area between the x-axis and the function between the limits x = 3 and x = 6 is a triangle with base of 3 units and height of 5 units.

Using the formulas for the area of a trapezoid and the area of a triangle, the definite integral can be calculated as follows:

\(\begin{aligned}\displaystyle \int^6_{-4} f(x)\; \;\text{d}x & =\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\\\\& =\dfrac{1}{2}(5+7)(5)+\dfrac{1}{2}(3)(5)\\\\& =30+\dfrac{15}{2}\\\\& =\dfrac{75}{2}\end{aligned}\)

Answer:

0 hundreds

0 tens

7 ones

.

4 tenths

0 hundredths

8 thousandths

Standard form=7.408

Step-by-step explanation:

Lets first solve (7x1)+(4x1/10)+(8x1/1000)

7+0.4+0.008

Simplify:

7.408

The time it will take the ride to reach the floor is  77.29 seconds

These are equations that has a leading  degree of 2.

Given the function that represents the height of the roller coaster

h(t) = –0.086t^2 + 6t + 50,

At the ground level, h = 0

Substitute

h(t) = –0.086t^2 + 6t + 50,

–0.086t^2 + 6t + 50 = 0

0.086t^2 - 6t - 50 = 0

Factorize

On factorizing, the time it will take the ride to reach the floor is  77.29 seconds

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Answer:

D)  t = 77.29 seconds

Step-by-step explanation:

The height of the rollercoaster at ground level is zero.

Therefore, to find how long it will take riders to pass over the hill and reach ground level, set h = 0 and solve for t.

Set the equation equal to zero:

\(-0.086t^2 + 6t + 50=0\)

Solve the equation using the quadratic formula.  

The quadratic formula is a formula that can be used to find the solutions of any quadratic equation, which is an equation of the form ax²+bx+c=0, where a, b, and c are constants and x is the variable.

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

In this case:

Substitute these values into the quadratic formula and solve for t:

\(t=\dfrac{-6 \pm \sqrt{6^2-4(-0.086)(50)}}{2(-0.086)}\)

\(t=\dfrac{-6 \pm \sqrt{36+17.2}}{-0.172}\)

\(t=\dfrac{6 \pm \sqrt{53.2}}{0.172}\)

\(t=-7.52228495..., \;\; 77.2897268...\)

As time is positive only, t = 77.29 seconds (2 decimal places).

Answer:

10 meters per sec

Step-by-step explanation:

Answer:

10 meters per seconds.

Step-by-step explanation:

The important variables are the two types of test questions which can be represented as :

Variables are used to represent unknown values which could be worked out in a mathematical expression or problem.

The variables or unknown in this case are the type of test questions. which are : m for multiple choice, s for short answer

Therefore, the correct option is C. m for multiple choice, s for short answer

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The common ratio and the general term equation, a, of the geometric sequence is A. r = 1/2 , an = 16(1/2)^(n - 1).

A geometric sequence simply means the sequence of non zero numbers whereby the term after the first is simony found by multiplying the previous number by a common ratio

Based on the information, the common ratio will be:

= Second term / First term

= -8 / -16

= 1/2

The nth term will then be 16(1/2)^(n - 1).

The correct option is A.

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Answer:

\(8.5x+4y=99.5,\ x+y=17\)

Step-by-step explanation:

\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)

Answer:

\(\frac{1}{4}\)

Step-by-step explanation:

The problem \(2x - 3x = 3\) is incorrect. The correct answer for that one is \(-x \:\sf{or\:-1\)

\(\sf{Simplify\: the\: expression.\)

\(\sf{\frac{16x}{64x} = \frac{1}{4}\)

\(x=\frac{1}{4}\)

Therefore, the answer is \(\frac{1}{4}\)

Answer:

The letter choice that is accurate is A.