The gonzalez family is taking a cruise that costs $3,082.24 for a family of four. How much does it cost per person​

Answer:

A number that is less than zero

Step-by-step explanation:

-13, -56

Step-by-step explanation:

x-8= -3x²+4x-1

3x²+x-4x=-1+8

3x²-3x=7

3x²-3x-7=0

x²-x-3.5=0

Delta = -1²-(4)(1)(-3.5)

+1+14=15

x1=-1- sqrt(15) /2(1) =2.43

x2=-1+sqrt(15)/2(1) =-1.93

I don't think it is right but i tried my best

Answer:

Jack would have to buy 18 gum balls to be certain he gets 6 gum balls that are the same color.

Answer:

It's 16

Step-by-step explanation:

Imagine taking out 5 reds, after that 5 green ones and then 5 yellow gum balls. So the 16th must be number 6 of any color.

Answer:

y = - \(\frac{9}{5}\) x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

9x + 35 = - 5y ( add 5y to both sides )

5y + 9x + 35 = 0 ( subtract 9x + 35 from both sides )

5y = - 9x - 35 ( divide all terms by 5 )

y = - \(\frac{9}{5}\) x - 7 ← in slope- intercept form

Mr. P would have approximately $47.13 US Dollars left after spending $918 pesos on groceries in Mexico.To determine how much money Mr. P would have left,

we need to convert the amount spent in pesos to US Dollars and then subtract it from the initial amount of $100 US Dollars. Given that $20.18 pesos is equal to $1 US Dollar, we can convert the amount spent in pesos to US Dollars: Amount spent in US Dollars = Amount spent in pesos / Conversion rate Amount spent in US Dollars = $918 pesos / $20.18 pesos per US Dollar Calculating this, we find: Amount spent in US Dollars ≈ $45.45 US Dollars Now, to find the amount of money Mr. P would have left, we subtract the amount spent in US Dollars from the initial amount of $100 US Dollars: Amount left in US Dollars = $100 US Dollars - $45.45 US Dollars Calculating this, we find: Amount left in US Dollars ≈ $54.55 US Dollars Therefore, Mr. P would have approximately $54.55 US Dollars left after spending $918 pesos on groceries in Mexico.It's important to note that the exact conversion rate and resulting amount may vary due to fluctuations in currency exchange rates and potential transaction fees.

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The equation y has two outputs for each input of x, which proves that y²= 4x+16 is not a function.

A function is a relation between two sets of values such that each element of the first set is associated with a unique element of the second set.

In this case, y²= 4x+16 is an equation that is not a function as it does not satisfy the definition of a function.

It does not meet the criteria of having a unique output for each input. For example, when x = 0, the equation yields y²= 16.

Since y can be both positive and negative, there are two outputs for the same input. This violates the definition of a function and therefore this equation is not a function.

This can be proven mathematically by rearranging the equation to solve for y.

y²= 4x+16

y² -4x= 16

y² -4x+4= 16+4

(y-2)²= 20

y= ±√20 + 2

This equation shows that y has two outputs for each input of x, which proves that y²= 4x+16 is not a function.

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x>8 and x<2 are the two possible inequalities of |x - 5| > 3

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Let x be the number

|x - 5| > 3

Now solve for x.

Suppose x - 5 is positive.  Then

x - 5 > 3

x > 8

Suppose x - 5 is negative.  Then |x - 5| = -(x - 5) = 5 - x

5-x>3

5-3>x

2>x

x<2

Hence, x>8 and x<2 are the two possible inequalities of |x - 5| > 3

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Answer:

a . x = 512

b. x^1/2•y•z^5/4

Step-by-step explanation:

a. Here in this question, we want to find the value of x, given the equation.

x^2/3 = 64

Now, to find the value of x, we shall raising both powers to the reciprocal of 2/3

When we talk of reciprocal, we mean a number such that when we multiply this number by that particular number, our result is 1.

So for 2/3, the reciprocal is 3/2

So let’s raise the power of both sides to 3/2

Thus;

x^2/3(3/2) = 64^3/2

Kindly recall that 2/3(3/2) = 2/3 * 3/2 = 1

Thus ;

x = 64^3/2

So what this mean is that we will find the square root of 64 and cube our answer.

Thus;

x = {√(64)}^3

x = 8^3

x = 512

b. According to laws of indices, kindly note that

b√(a) = a^1/b

Thus;

4 √(x^2•y^4•z^5) = (x^2•y^4•z^5)^1/4

So what we do is to multiply each of the powers in the bracket by 1/4

Thus, we have the following;

x^2(1/4) • y^4(1/4) • z^5(1/4)

= x^1/2•y•z^5/4

where • simply refers to multiplication between the terms

The domain and codomain of the function f(n) = n^2 + 1 are both the set of integers. The range of the function is all positive integers (including zero).

To find the domain, codomain, and range of the function f(n) = n^2 + 1:

1. Domain: The domain is the set of all possible input values for the function. In this case, since the function is defined for "the set of integers," the domain is the set of all integers.

2. Codomain: The codomain is the set of all possible output values for the function. In this case, the function is defined as f(n) = n^2 + 1, where n is an integer. Therefore, the codomain is also the set of integers.

3. Range: The range is the set of all actual output values that the function produces for the given inputs. To find the range, we can substitute various integer values for n and observe the corresponding outputs. Since the function is defined as f(n) = n^2 + 1, the smallest possible output value is 1 (when n = 0), and there is no upper limit for the output. Hence, the range is all positive integers (including zero).

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Step-by-step explanation:

The interest will be $560

The number of significant figures in the number 80 is only 1.

When it comes to significant figures, 0 is not considered a significant figure if it comes after a number and is before a decimal point.

In other words, because 0 came after 8 in the number 80 and yet is before a decimal figure, the only significant figure in 80 is 8.

In conclusion, the number 80 has only one significant figure which is 8.

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   Value of \(10^x\) will be between 1 and 10.

 Given in the question,

If we have to find the range of the value of the number, substitute x = 0 and 1

\(10^0=1\)

\(10^1=10\)

  Therefore, value of \(10^x\) will vary between 1 and 10.

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Answer:

-10 or -4

Step-by-step explanation:

the absolute value of -10 + 7 is 3

the absolute value of -4 + 7 is 3

absolute value just removes the negative sign of what is inside of it.

Given statement solution is :- The t-statistic associated with the test is approximately -0.28.

The t-statistic, which is used in statistics, measures how far a parameter's estimated value deviates from its hypothesised value relative to its standard error. Through the Student's t-test, it is utilised in hypothesis testing. In a t-test, the t-statistic is used to decide whether to accept or reject the null hypothesis.

To find the t-statistic associated with the test, we need to calculate the test statistic using the estimated slope coefficient, the null hypothesis, and the standard error.

The estimated slope coefficient is 4.93.

The null hypothesis is H₀: β₁ ≥ 5.14 (stating that the true slope coefficient is greater than or equal to 5.14).

The predicted slope's standard error is 0.74.

The formula to calculate the t-statistic is:

t = (estimated slope - hypothesized slope) / standard error

Plugging in the values:

t = (4.93 - 5.14) / 0.74

t = -0.21 / 0.74

t ≈ -0.28 (rounded to two decimal places)

Therefore, the t-statistic associated with the test is approximately -0.28.

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Answer:

I'm going to assume you meant 1.5 pounds and not 15 pounds each month.

Step-by-step explanation:

1.5*6=9

C

Answer:

around 90 pounds

Step-by-step explanation:

15×6

or 15+15+15+15+15+15 if multiplying is not your thing

Answer:

(1) Graph: E

Slope: m=1

y-intercept: (0,3)

(2) Graph: A

Slope: m= \(\frac{1}{2}\)

y-intercept: (0,1)

(3) Graph: B

Slope: m= -4

y-intercept: (0,-5)

(4) Graph: C

Slope: m= -\(\frac{3}{4}\)

y-intercept: (0,-4)

(5) Graph: F

Slope: m= \(\frac{3}{5}\)

y-intercept: (0,-3)

The amounts to be received by the heirs are:

a. $6200, $1600, $1000

To divide the estate of $8800 in the ratio of 5:2:1, we first need to find the total parts of the ratio.

Total parts = 5 + 2 + 1 = 8

To find the amount each heir will receive, we divide the estate by the total parts and multiply it by the corresponding ratio:

Amount for the first heir = (5/8) * $8800

Amount for the second heir = (2/8) * $8800

Amount for the third heir = (1/8) * $8800

Simplifying:

Amount for the first heir = (5/8) * $8800 = $5500

Amount for the second heir = (2/8) * $8800 = $2200

Amount for the third heir = (1/8) * $8800 = $1100

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The solution to the systems of equations graphically is (2, 4)

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = -x + 6

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (2, 4)

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Answer:

(a) aₙ = 22 + 6(n - 1)

(b) The 14th row has 100 seats

Step-by-step explanation:

1. (a) Remember that an arithmetic series has the general formula a + (n - 1)d. Here a = the first term, and d = difference between first and second term, or in other words the difference between the nth and (n + 1)th terms.

aₙ = 22 + 6(n - 1)

This is our iterative rule for this arithmetic series, aₙ = 22 + 6(n - 1).

(b) Here n = the row number. We want to know the row number that has 100 seats. Let's equate the expression '22 + 6(n - 1)' to 100, and solve for n.

100 = 22 + 6(n - 1),

100 = 22 + 6n - 6,

100 = 16 + 6n,

6n = 84,

n = 84 / 6 = 14

=> the 14th row has 100 seats

Step-by-step explanation:

Part 1: As the coordinate plane shown is not included in the question prompt, I am unable to provide a response for Part 1.

Part 2:

Using the coordinate plane given in Part 1 (assuming it is a standard rectangular coordinate plane), we can draw the following routes for Zari and Taye:

- Zari's route: A → B → C → A

- Taye's route: A' → D → E → A'

where B = (4, 2), C = (4, -1), D = (-2, -4), and E = (2, -4).

To prove that the two triangles formed by their routes are congruent, we need to show that they have three pairs of congruent properties and then state the triangle congruency statement.

Let's start with the first pair of congruent properties:

1. AB = A'D (both are 2 miles long)

2. BC = DE (both are 3 miles long)

3. AC = A'E (both are 5 miles long)

We can see that Zari's route forms triangle ABC, while Taye's route forms triangle A'DE. Since triangles ABC and A'DE have three pairs of congruent properties, we can state that they are congruent by SSS (side-side-side) congruence:

∆ABC ≅ ∆A'DE

Therefore, we can conclude that the two triangles formed by their routes are congruent.

The volume of the cylinder with height 6 meters and the radius 18 meters is \(6,104.16 m^{3}\).

The volume of a cylinder is the capacity of the cylinder which calculates the amount of material quantity it can hold.

Given that, the height of a cylinder=6 meters and the diameter of a cylinder=6×6=36 meters (A diameter that is 6 times the measure of the height)

Now, radius \((r)=\frac{d}{2} =18 meters\)

\(\pi =3.14\)

We know that, the volume of the cylinder\(=\pi r^{2} h\)

\(=3.14\times 18^{2} \times 6 m^{3}\)

\(=6,104.16 m^{3}\)

Hence, the volume of the cylinder with height 6 meters and the radius 18 meters is \(6,104.16 m^{3}\).

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Answer: As the Integers being positive or negative depends on the 0 As it is reference present on  the centre of the number line

Numbers on the left side are negative while that on right side being positive

Step-by-step explanation:

Answer:

The answer to your question is 2555

Step-by-step explanation:

365 x 56 = 20440

20440 ÷ 8 = 2555

I hope this helps and have a wonderful day!

Answer:

A.

Step-by-step explanation:

The volume is LWH

L = 16

W = 9

H = 12

16 * 9 * 12 = 1728

Answer:

\(\textsf{Mean}\:\overline{X}=\sf \dfrac{\textsf{sum of all the data values}}{\textsf{total number of data values}}\)

\(\implies \sf Mean\:(Nilo)=\dfrac{5+6+14+15}{4}=\dfrac{40}{4}=10\)

\(\implies \sf Mean\:(Lisa)=\dfrac{8+9+11+12}{4}=\dfrac{40}{4}=10\)

\(\displaystyle \textsf{Standard Deviation }s=\sqrt{\dfrac{\sum X^2-\dfrac{(\sum X)^2}{n}}{n-1}}\)

\(\begin{aligned}\displaystyle \textsf{Standard Deviation (Nilo)} & =\sqrt{\dfrac{(5^2+6^2+14^2+15^2)-\dfrac{(5+6+14+15)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{482-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{82}{3}}\\\\& = 5.23\end{aligned}\)

\(\begin{aligned}\displaystyle \textsf{Standard Deviation (Lisa)} & =\sqrt{\dfrac{(8^2+9^2+11^2+12^2)-\dfrac{(8+9+11+12)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{410-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{10}{3}}\\\\& = 1.83\end{aligned}\)

Nilo has a mean score of 10 and a standard deviation of 5.23.

Lisa has a mean score of 10 and a standard deviation of 1.83.

The mean scores are the same.

Nilo's standard deviation is higher than Lisa's.  Therefore, Nilo's test scores are more spread out that Lisa's, which means Lisa's test scores are more consistent.

1 The decision rule for a two-tailed test at a 0.01 significance level is:

H0 is reject if z < -2.58 or z > 2.58

2 The pooled proportion is calculated as: p = 0.0846

3 The value of the test statistic (z-score) is calculated as: z = -2.424

4 There is not enough evidence to conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action.

2 The pooled proportion is calculated as:

p = (x1 + x2) / (n1 + n2)

p = (26 + 40) / (430 + 350)

p = 66 / 780

p = 0.0846

3 The value of the test statistic (z-score) is calculated as:

z = (p1 - p2) / ✓(p * (1 - p) * (1/n1 + 1/n2))

z = (26/430 - 40/350) / ✓(0.0846 * (1 - 0.0846) * (1/430 + 1/350))

z = -2.424

4 At the 0.01 significance level, the critical values for a two-tailed test are -2.58 and 2.58. Since the calculated z-score of -2.424 does not exceed the critical value of -2.58, we fail to reject the null hypothesis.

There is not enough evidence to conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action.

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Answer:

v=432cm

sA=144cm

Step-by-step explanation:

1)))

v=w*d*h

v=3*9*16

v=432cm

2)))

sA=h*w

sA=16*9

sA=144cm

Answer:

V = 432 cm^3

SA = 438 cm^2

Step-by-step explanation:

The volume of a rectangular prism is represented by the formula:

V = lwh

Where V is the volume, l is the length, w is the width, and h is the height.

You can substitute the values given:

V = 3 * 9 * 16

V = 432 cm^3

The surface area of a rectangular prism can represented by the formula:

SA = 2(lw + wh + lh)

Where SA is the surface area, l is the length, w is the width, and h is the height. You can substitute the given values:

SA = 2(3 * 9 + 3 * 16 + 9 * 16)

SA = 2(27 + 48 + 144)

SA = 2(219)

SA = 438 cm^2