Which graph represents the following system of inequalities ?

Answer:

172p

Step-by-step explanation:

because of the offer for 3 chocelate for the price of 2 and because shes getting 3 she only has to pay for 2. so u do the the price of 1 (86p) times 2 (chocolate bars) and u will get 172p s your answer

The cost of three chocolate bars from the shop is 258 pounds.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, a shop has a 3 for 2 offer on chocolate bars. The normal price of a chocolate bar is 86 pounds.

Sian gets 3 chocolate bars from the shop using this offer.

Here, 86×3

= 258 pounds

Therefore, the cost of three chocolate bars from the shop is 258 pounds.

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Answer:

Griffin was 10.73 seconds faster than Ben

Step-by-step explanation:

Here, given the information in the question, we want to know how faster was Griffin than Ben in the race

Mathematically, that will be;

|29.80 - 40.53| = 10.73

This shows that Griffin was 10.73 seconds faster than Ben

Answer:

1

Step-by-step explanation:

(1-x)/x=0

or, 1-x=0

or, -x=-1

or, x=1

Answer:

F(x) = 0 when x=1

Step-by-step explanation:

We need the numerator to equal zero

1-x = 0

Add x to each side

1-x+x = 0+x

1 =x

The denominator cannot equal zero( The denominator does not equal zero when x =1)

F(x) = 0 when x=1

Recall that for all \(z\in\Bbb C\),

\(\sin(z) = \dfrac{e^{iz} - e^{-iz}}{2i}\)

so that

\(\sin(z) = a \iff e^{iz} - e^{-iz} = 2ia\)

Multiply both sides by \(e^{iz}\) to get a quadratic equation,

\(e^{2iz} - 2iae^{iz} - 1 = 0\)

Solve for \(e^{iz}\). By completing the square,

\(e^{2iz} - 2ia e^{iz} + i^2a^2 = 1 + i^2a^2\)

\(\left(e^{iz} - ia\right)^2 = 1 - a^2\)

\(e^{iz} - ia = \pm \sqrt{1-a^2}\)

\(e^{iz} = ia \pm \sqrt{1-a^2}\)

\(iz = \log\left(ia \pm \sqrt{1-a^2}\right)\)

\(iz = \ln\left|ia \pm \sqrt{1-a^2}\right| + i \left(\arg\left(ia \pm \sqrt{1-a^2}\right) + 2\pi n\right)\)

\(\boxed{z = -i \ln\left|ia \pm \sqrt{1-a^2}\right| + \arg\left(ia \pm \sqrt{1-a^2}\right) + 2\pi n}\)

where n is any integer.

We are given with:

\({\quad \qquad \longrightarrow \sin (z)={\sf a}\:,\:z\in \mathbb{C}}\)

Recall the identity what we have for the sine function of complex numbers

Put the values to thus obtain:

\({:\implies \quad \sf \dfrac{e^{\iota z}-e^{-\iota z}}{2\iota}=a}\)

\({:\implies \quad \sf e^{\iota z}-e^{-\iota z}=2a\iota}\)

Multiply both sides by \({\sf e^{\iota z}}\)

\({:\implies \quad \sf e^{\iota z}\cdot e^{\iota z}-e^{-\iota z}\cdot e^{\iota z}=2a\iota e^{\iota z}}\)

\({:\implies \quad \sf (e^{\iota z})^{2}-2a\iota e^{\iota z}-1=0}\)

Put x = \({\sf e^{\iota z}}\):

\({:\implies \quad \sf x^{2}-2a\iota x-1=0}\)

Find the discriminant, here D will be, D = (-2ai)² - 4 × 1 × (-1) = 4 - 4a² = 4(1-a²)

Now, By quadratic formula:

\({:\implies \quad \sf x=\dfrac{-(-2a\iota)\pm \sqrt{4(1-a^{2})}}{2}}\)

\({:\implies \quad \sf x=\dfrac{a\iota \pm \sqrt{1-a^{2}}}{2}}\)

\({:\implies \quad \sf e^{\iota z}=\dfrac{a\iota \pm \sqrt{1-a^{2}}}{2}}\)

\({:\implies \quad \sf \iota z=log\bigg(\dfrac{a\iota \pm \sqrt{1-a^{2}}}{2}\bigg)}\)

Using the formula for logarithms, we have:

\({:\implies \quad \sf \iota z=log(a\iota \pm \sqrt{1-a^{2}})-log(2)}\)

\({:\implies \quad \sf z=\dfrac{1}{\iota}log(a\iota \pm \sqrt{1-a^{2}})-\dfrac{1}{\iota}log(2)}\)

The sine function is periodic on 2πn and zero on (π/2), and the logarithmic expression becomes undefined for all ia±√(1-a²) < 0, so we will take modulus of it

\({:\implies \quad \boxed{\bf{z=\dfrac{1}{\iota}log\bigg|a\iota \pm \sqrt{1-a^{2}}\bigg|-\dfrac{1}{\iota}log(2)+\dfrac{\pi}{2}+2\pi n\:\:\forall \:n\in \mathbb{Z}}}}\)

Answer:h

Step-by-step explanation:

Answer:

im not sure about the answer but you find the comon factor of 8 and 7.50

then you find then you find the comon factors of 13.00 16.00 and then i dont know (hope i helped)

Answer:

Of the ones listed, in the way they are written, the answers are x²y – 3x and 6y² – y.

Explanation:

A monomial is a constant, a variable, or the product of constants and variables.  A binomial is the sum or difference of two monomials.  

The first option, xy, is a monomial.  There is only one, so it is not a binomial.

The second one, x²y-3x, is the difference of two monomials; this means it is a binomial.

The third one, 6y²-y, is the difference of two monomials; this means it is a binomial.  

The last one, y²+4xy-x², is the sum and/or difference of at least three monomials (there is a plus at the end that makes me think there is more to it).  This means it is a trinomial, not a binomial.

Answer: B, C, and E.

Step-by-step explanation:

Since all three show the characteristics found in a binomial then these three are your answers. Plus I just did it on Edge.

:)

The observed frequencies with the expected frequencies and calculate the contribution of each category to the overall Chi-Square value. Therefore, the Chi-Square value (X^2) is 8.

To determine the Chi-Square value, we need to compare the observed frequencies with the expected frequencies and calculate the contribution of each category to the overall Chi-Square value.

Let's calculate the Chi-Square value step by step:

1. Calculate the expected frequencies:

For the AA genotype:

Expected frequency = (Total count) * (Expected proportion)

Expected frequency = 200 * (50/200) = 50

For the Aa genotype:

Expected frequency = (Total count) * (Expected proportion)

Expected frequency = 200 * (100/200) = 100

For the aa genotype:

Expected frequency = (Total count) * (Expected proportion)

Expected frequency = 200 * (50/200) = 50

2. Calculate the contribution of each category to the Chi-Square value:

Chi-Square contribution = (Observed frequency - Expected frequency)^2 / Expected frequency

For the AA genotype:

Contribution = (60 - 50)^2 / 50 = 100 / 50 = 2

For the Aa genotype:

Contribution = (80 - 100)^2 / 100 = 400 / 100 = 4

For the aa genotype:

Contribution = (60 - 50)^2 / 50 = 100 / 50 = 2

3. Calculate the overall Chi-Square value:

Chi-Square value (X^2) = Sum of contributions for all categories

X^2 = 2 + 4 + 2 = 8

Therefore, the Chi-Square value (X^2) is 8.

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Two values have frequency 2, so both are modes. They are 5 and 6. Therefore, the mode is 5 and 6.

Given measure: 3, 5, 4, 6, 10, 5, 6, 9, 2, 13.(D) To calculate \(x_2\), first we need to sort the data in ascending order: 2, 3, 4, 5, 5, 6, 6, 9, 10, 13

Now, we need to find the median, which is the middle value of the data. Since the data has even number of values, we will calculate the mean of middle two values, that is:(5+6)/2 = 5.5 Therefore, \(x_2 = 5.5\).\( \frac{2}{x}= \) To find the value of x, we will first cross-multiply and then take the reciprocal of both sides:\[\frac{2}{x} = y \Rightarrow 2 = xy \Rightarrow x = \frac{2}{y}\] Therefore, \( \frac{2}{x}= \frac{2}{y}\).

(b) To calculate Fried m, we will use the formula: \[f_m = L + \frac{(n/2 - F)}{f} \times c\]where L is the lower limit of the modal class, F is the cumulative frequency of the class preceding the modal class, f is the frequency of the modal class, c is the class interval, and n is the total number of values.

First, we will calculate the class interval:c = (upper limit of class - lower limit of class) = (7-6) = 1 Next, we will construct a frequency table to find the modal class:| Class Interval | Frequency ||-------------------|------------|| 2-3 | 1 || 3-4 | 1 || 4-5 | 1 || 5-6 | 2 || 6-7 | 2 || 7-8 | 1 || 9-10 | 1 || 10-11 | 1 || 13-14 | 1 |The modal class is the class with highest frequency.

Here, two classes have frequency 2, so both are modes. They are 5-6 and 6-7.

Therefore, L = 5, F = 2, f = 2, n = 10, and c = 1. Substituting the values, we get:\[f_m = L + \frac{(n/2 - F)}{f} \times c = 5 + \frac{(10/2 - 2)}{2} \times 1 = 7\] Therefore, Fried m = 7.

(c) To find the mode, we look for the value(s) with highest frequency. Here, two values have frequency 2, so both are modes. They are 5 and 6. Therefore, the mode is 5 and 6.

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Step-by-step explanation:

hope it helps

thank you

good luck

The difference quotient for the given function is 9 -2/h.

The difference quotient for the given function can be calculated as:

[f(x+h) - f(x)]/h

= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h

= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h

= (6xh + 3h² - 2h)/h

= (6x + 3h -2)/h

Simplifying the expression further, we get:

(6x + 3h -2)/h = 6 + 3h/h -2/h

= 6 + 3 -2/h

= 9-2/h

Therefore, the difference quotient for the given function is 9 -2/h.

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"Your question is incomplete, probably the complete question/missing part is:"

Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.

f(x)=3x² -2x+5. Simplify your answer as much as possible.

Answer:

the answer is 7(4 +6)

Step-by-step explanation:

24 + 42

7(4 + 6)

The equation in slope-intercept form, where the slope is \(\frac{-2}{3}\) and the y-intercept is \(\frac{500}{3}\).

To determine the appropriate graph for the equation

\(6x + 9y = 1,500\),

we need to rearrange it in slope-intercept form, which is

\(y = mx + b\),

where m represents the slope and b represents the y-intercept.

Let's rearrange the equation to isolate y:

\(6x + 9y = 1,500\)

\(9y = -6x + 1,500\)

\(y = (\frac{-6}{9} )x +\frac{1,500}{9}\)

\(y = (\frac{-2}{3} )x +\frac{500}{3}\)

Now we have the equation in slope-intercept form, where the slope is \(\frac{-2}{3}\) and the y-intercept is \(\frac{500}{3}\).

Based on this equation, the graph of the relationship would be a line with a slope of \(\frac{-2}{3}\) and a y-intercept of \(\frac{500}{3}\).

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Answer: 14526.72 yards

Step-by-step explanation:

The reason is because the equation is pie(3.14) times r(radius) to the exponent of 2 so 3.14 what you do is 17 times 17 which equals 289.  The 289 times 3.14 equals 907.46.  Now multiply 907.46 times 16 which then equals 14526.72 yards.  If you want to round it to the nearest hundredth it would stay the same because there is no number next to the hundredth place.

Answer:

x=3

Step-by-step explanation:

3x + 14 = 23

3x=23-14

3x=9

x=9/3

x=3

option A is the correct answer

The value of m in the proportion is given as follows m = 3.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The proportion is defined as follows:

3/4 = (1/4)m.

As the values have a proportional relationship, the value of m can be obtained applying cross multiplication, as follows:

3/4 = (1/4)m

cross multiplication;

3/4 x 4 = m

m = 3

Hence m =3 is the value that satisfies the proportion in this problem.

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b =(17,6x 8,9):19,7=7,95

Answer:

12,000cm^2

Step-by-step explanation:

area = length * breadth

= 120cm × 100cm

=12,000cm^2

Answer:

12000 cm²

Step-by-step explanation:

area of a rectangle = breadth x length

Given:

⇒ area = 100 x 120 = 12000 cm²

Answer:

Carlos has 4 bugs, but Seth has 3 times the amount of bugs Carlos has

         4  x  3  =  12

4-Carlos's bug

3-how many more Carlos has

12-the total amount Carlos has

0.3814  is the probability that a standard normal random variable .

What is the probability equation?

The probability of an event occurring, or P(E), is defined as the ratio of the number of favorable outcomes to the total number of outcomes in the probability formula.

                      P(E) = positive outcomes/total outcomes is how it's expressed mathematically. The probability of an event occurring, or P(E), is defined as the ratio of the number of favorable outcomes to the total number of outcomes in the probability formula. Mathematically speaking, it seems as follows: P(E) stands for positive outcomes/total outcomes.

P(0.3 < z < 3.2)

= P(z < 3.2) - P(z < 0.3)

= 0.9993 - 0.6179

 = 0.3814

Probability = 0.3814

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If the variables "r" and "s" are inversely proportional and r=7 when s=6 , then when r = 10 , value of "s" will be 4.2 .

When the two variables are inversely proportional, their product is constant. That means, for two variables "r" and "s" , the it is represented in equation as :

⇒ r × s = k, where k is a constant ;

the value of variable "r" = 7 when s = 6,

First , we have to find the value of k:

⇒ k = r × s = 7 × 6 = 42 ;

So, for any value of r and s, the product "rs" will always be equal to 42.

When r = 10, we can use the equation to find s:

⇒ s = k/r = 42/10 = 4.2

Therefore , when r = 10 , the variable "s" is 4.2.

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To access the first element of an array of integers called "numbers," you can use the expression:
numbers[0]`
This expression uses the array name "numbers" and the index "0" to access the first element.

To access the last element of "numbers," assuming it contains 10 elements, use the expression:

`numbers[9]`

Here, we use the index "9" since arrays are zero-indexed, meaning the last element in a 10-element array has an index of 9.
To access the first element of the array called numbers, we would use the expression "numbers[0]."

To access the last element of the array, assuming it contains 10 elements, we would use the expression "numbers [9]" since arrays are zero-indexed in most programming languages.

To access the last element of the array regardless of its length, we can use the expression "numbers [numbers.length-1]," which subtracts 1 from the length of the array to access the last element.
To access the last element, regardless of its length, use the expression:

'numbers [numbers. length - 1]'

This expression uses the "length" property of the array to find the total number of elements and subtracts 1 to get the correct index for the last element.

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Answer:

t = 2.5 seconds

Step-by-step explanation:

Answer:

972

Step-by-step explanation:

\( {6}^{2} \times {3}^{3} \\ = 36 \times 27 \\ = 972\)

In the function, the thing that is represented is the area of the walkway along the length of the flower patch.

From the information given, Sam created function A to represent the total area taken up by the flower patch and walkway by multiplying the functions modeling the new total length and width.

Therefore, the thing that is represented is the area of the walkway along the length of the flower patch.

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Answer:

area-8478 cm²

r- 30 cm

slat height=l= ?

formula: surface area of the cone=πrl .

8478= 3.14×30×l

l= 8478/(3.14×30)

l= 90cm

Answer:

60

Step-by-step explanation:

Surface area of cone = πr ( l + r )

where r is the radius of cone

l is the slant height

From the question we can write

8478 = π × 30 ( 30+l)

We take  π  = 22/7 for calculation

(8478 × 7 ) / (30 × 22) = 30 + l

90 = 30 + l

l = 60

The series [infinity] xn n! n = 0 converges for all real values of x.

The given series [infinity] xn n! n = 0 is a power series with terms xn n! n. To determine the values of x for which the series converges, we can use the ratio test.

The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, then the series converges. Let's apply the ratio test to the given series:

lim┬(n→∞)⁡〖|(x(n+1)(n+1)!)/(xn n!)|〗

Simplifying the expression:

lim┬(n→∞)⁡〖|(x(n+1))/(xn)| * 1/(n+1)|〗

As n approaches infinity, the ratio x(n+1)/xn approaches x/x = 1. Additionally, the term 1/(n+1) approaches 0. Therefore, the limit simplifies to:

lim┬(n→∞)⁡〖|1 * 0| = 0|〗

Since the limit is less than 1, the ratio test confirms that the given series converges for all real values of x.

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