help me with this thank you

Answer:

a(n) = 3*3^(n-1).

Step-by-step explanation:

The first term of this sequence is 3.  The next one is 3 times 3, or 9; the next is 3 times 9, or 27; and so on.  So the common ratio is 3.

The formula for the nth term is thus a(n) = 3*3^(n-1).

To obtain a mixture of 200 liters with an average cost of 0.50, we need to start with approximately 133 liters of the wine with a price of 0.35 and approximately 67 liters of the wine with a price of 0.80.

To solve this problem, we will call "x" the quantity of liters of the wine with a price of 0.35, and "y" the quantity of liters of the wine with a price of 0.80 that we need to obtain the desired mixture.

We know that we want to obtain 200 liters of mixture, and the average cost of the mixture should be 0.50.

We can establish the following equations:

x + y = 200 (equation for the total quantity of mixture)

(0.35 * x + 0.80 * y) / 200 = 0.50 (equation for the average cost of the mixture)

Now  solve this system of equations to find the values of "x" and "y".

From the first equation, we can solve for "x" in terms of "y" as follows:

x = 200 - y

Substitute this expression for "x" in the second equation

(0.35 * (200 - y) + 0.80 * y) / 200 = 0.50

Solving this equation, we can find the value of "y":

(0.35 * 200 - 0.35 * y + 0.80 * y) / 200 = 0.50

(70 - 0.35y + 0.80y) / 200 = 0.50

(0.45y + 70) / 200 = 0.50

0.45y + 70 = 0.50 * 200

0.45y + 70 = 100

0.45y = 100 - 70

0.45y = 30

y = 30 / 0.45

y = 66.67

Now that we have the value of "y,"  find the value of "x" by substituting it into the first equation:

x = 200 - y

x = 200 - 66.67

x = 133.33

However, we cannot have a fractional quantity of liters, so we must round these values to whole numbers.

Therefore, to obtain a mixture of 200 liters with an average cost of 0.50, we need to start with approximately 133 liters of the wine with a price of 0.35 and approximately 67 liters of the wine with a price of 0.80.

We have wine of two different qualities with prices of 0.35 and 0.80. If we want to obtain a mixture of 200 that results in 0.50, how many liters of each class do we need to start with?

the equation should be 7+2x=t

x=the number if items he gets

t=total

The equation that represent the given situation should be  7+2x=t

Alex goes to a movie on Saturday for $7. While there, he pays $2 for each item he buys at the concession stand.

7+2x=t

here x be the number

And, t means the total

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The standard of deviation is 4.

The mean is 10

20 minutes - 10 ( the mean) = 10 minutes longer than the mean.

10 minutes longer / 4 minutes ( deviation) = 2.5 standard deviations.

2.5 on the Z-table = 0.9938

The probability of being more than 20 minutes = 1 - 0.9938 = 0.0062 (0.62%)

Answer:

All real numbers

Step-by-step explanation:

They ask us to find the domain of (fg)

f(x) = x+2

g(x) = ( 1 / x + 2 )

Multiplying these two equations, we get:

y = 1. And this equation is a straight line passing through 1 on the y-axis.

This means, the domain is all the real numbers.

Answer:

Domain is all real number except  [tex]-2[/tex]

Step-by-step explanation:

[tex]f(x)= x+2[/tex] and [tex]g(x)= \frac{1}{x+2}[/tex]

now we find fg

[tex]fg= f(x) * g(x)[/tex]

Replace f(x) and g(x)

[tex]f(x) * g(x)= (x+2)*\frac{1}{x+2}[/tex]

[tex]f(x) * g(x)=\frac{x+2}{x+2}[/tex]

We have x+2 at the top and bottom. cancel it out

So we have hole at x+2

set the denominator =0 and solve for x

[tex]x+2=0[/tex]

Subtract 2 on both sides

[tex]x=-2[/tex]

the value of x cannot be [tex]-2[/tex]

Domain is all real number except  [tex]-2[/tex]

Answer:

±4

Step-by-step explanation:

The margin of error in a confidence interval is half the range:

(84 - 76) / 2 = 4

So the margin of error is ±4.

The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The margin of error of the survey will be ±4%.

The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The wider the margin of error, the less confident one should be that a poll result reflects the outcome of a population-wide survey.

The results of a survey indicate that between 76% and 84% of the season ticket holders are satisfied with their seat locations. Therefore, the margin of error can be written as,

Margin of Error = (84%-76%)/2 = 8%/2 = ±4%

Hence, the margin of error of the survey will be ±4%.

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Answer:

[tex]\begin{array}{cccc}&\text{Prefer Pizza}&\text{Do not Prefer Pizza}&\text{Total}\\\text{Prefer Punch}&23&29&52\\\text{Do not Prefer Punch}&66&7&73\\\text{Total}&89&36&125\end{array}[/tex]

Step-by-step explanation:

There are 125 members.

89 of them preferred pizza and 23 of 89 preferred punch, so 89-23=66 preferred only pizza.

52 members preferred punch, 23 of them preferred both pizza and punch, so 52-23=29 preferred only punch.

Now,

66 members preferred only pizza,

23 members preferred both,

29 members preferred only punch,

125-66-23-29=7 members did not prefer both

The two-way table is

[tex]\begin{array}{cccc}&\text{Prefer Pizza}&\text{Do not Prefer Pizza}&\text{Total}\\\text{Prefer Punch}&23&29&52\\\text{Do not Prefer Punch}&66&7&73\\\text{Total}&89&36&125\end{array}[/tex]

Final answer:

To complete the two-way table, we calculate preferences for pizza only, punch only, both, and neither by using the given numbers. For example, 'Pizza Only' is found by subtracting those who prefer both pizza and punch from the total that prefers pizza.

Explanation:

The student's question is about completing a two-way table with the given data about food preference for an event. According to the information provided, out of 125 members surveyed, 89 preferred pizza, and out of those, 23 also preferred punch. There were 52 members in total who preferred punch. To fill in the two-way table:

Pizza and Punch: This is given directly as 23.

Pizza Only: To find this, subtract those who like both from those who like pizza, 89 - 23 = 66.

Punch Only: Subtract those who like both from the total that like punch, 52 - 23 = 29.

Neither Pizza Nor Punch: Subtract the totals of pizza lovers and punch lovers from the surveyed members, 125 - 89 - (52 - 23) = 125 - 89 - 29 = 7.

Step-by-step answer:

The normal probability curve is symmetrical about the mean.  

This means that for an event that is normally distributed, there is a 50% probability that it falls below the mean, and a 50% probability that it falls above.

From the given information, the mean is 20" and we need the probability that a given infant is longer than 20", namely the mean.

Therefore by the definition of the normal probability curve, there is a 50% probability that the length falls above 20".

This can be verified by referencing a normal probability table with Z=0, meaning at the mean, the probability is equal to 0.5 for Z<0, and therefore 0.5 for Z>0.

Z=(X-mean) / Standard deviation

When Z>0, X (measurement) is greater than the mean

When Z<0, X is less than the mean.

Answer:

0.5, half therefore 50%

Answer:

The interest rate was 15%

Step-by-step explanation:

The simple interest formula is the easiest and most straightforward to use since it doesn't involve using logs or natual logs or Euler's number.  It is

I = Prt

Filling in using our info gives us 300 = 1000(r)(2)

and 300 = 2000r

Divide both sides by 2000 and you get r = .15.  Multiply by 100 to get the percentage.

Answer:

Option A

Step-by-step explanation:

In a train yard there are 6 flat cars, 7 box-cars and 3 livestock cars.

So total number of cars = 6 + 7 + 3

                                       = 16

Now a train is to be made by 9 cars, out of 16 cars.

So number of ways the train can be made up will be =[tex]^{n}P_{r}[/tex]

where n = 16 and r = 9

so number of ways =[tex]^{16}P_{9}[/tex]

Option A is the answer.

Considering the definition of permutation, you use 16P9 to find the number of ways the train could be made up. (Option A).

Permutation is placing elements in different positions. So, permutations of m elements in n positions are called the different ways in which the m elements can be arranged occupying only the n positions.

That is, permutations refer to the action of arranging all the members of a set in some sort of order or sequence.

In other words, permutations (or Permutations without repetition) are ways of grouping elements of a set in which:

To obtain the total of ways in which m elements can be placed in n positions, the following expression is used:

[tex]mPn=\frac{m!}{(m-n)!}[/tex]

where "!" indicates the factorial of a positive integer, which is defined as the product of all natural numbers before or equal to it.

In a train yard there are 6 flat cars, 7 box-cars and 3 livestock cars. So total number of cars is 6 + 7 + 3= 16.

A train is made up of 9 cars, out of 16 cars.

To obtain the total of ways in which 16 elements can be placed in 9 positions, you use the permutation 16P9.

Finally, you use 16P9 to find the number of ways the train could be made up. (Option A).

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It A because the two mirror each other so you can simplify them to (3x−5)^2.

Answer:

(A) [tex](3x-5)(3x-5)[/tex]

Step-by-step explanation:

Perfect-square trinomials have this form:

[tex]a^2x^2 \± 2ab + b^2[/tex]

And can be expressed as a squared binomial:

[tex](ax \± b)^2[/tex]

Which is the same as: [tex](ax+b)(ax+b)[/tex] or  [tex](ax-b)(ax-b)[/tex]

You can observe that [tex](3x-5)(3x-5)[/tex] (Shown in the option A) matches with the form [tex](ax-b)(ax-b)[/tex], therefore, it will result in a perfect square trinomimal.

You can verify this by applyin Distributive property. Then:

[tex](3x-5)(3x-5)=\\=3^2x^2+(3x)(-5)+(3x)(-5)+5^2\\=9x^2-15x-15x+25\\=9x^2-30x+25[/tex]

The result is a perfect square trinomial.

Answer:

Step-by-step explanation:

A parallel plane will have the same normal vector (the coefficients of x, y, z), so will differ only in the constant. Changing the constant from 9 to anything else gives the equation of a parallel plane.

A perpendicular plane will have a normal vector that is perpendicular to the normal vector of the given plane. That is, the dot-product of the normal vectors will be zero. There are an infinite number of possible solutions. One of them is ...

  5x -3y = 0

Its normal vector is <5, -3, 0> and the dot-product of that with the normal vector of the given plane is ...

  <5, -3, 0> · <3, 5, -1> = (5)(3) +(-3)(5) +(0)(-1) = 15 -15 +0 = 0

Any plane whose coefficients a, b, c satisfy 3a+5b-c = 0 will be a normal plane.

I'd say it's high: both datasets are made of 8 elements, and 6 of those 8 are in common: the only element belonging to dataset 1 but not dataset 2 is 5, and the only element belonging to dataset 2 but not dataset 1 is 10.

The overlap between Data Set 1 and Data Set 2 will be high. Then the correct option is A.

The number of the data will be 8.

If the number of data overlaps is less than 4, then low.

If the number of data overlaps is equal to 4, then moderate.

If the number of data overlaps is greater than 4, then high.

The number of data that overlap is 6.

The overlap between Data Set 1 and Data Set 2 will be high.

Then the correct option is A.

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Answer:

the perimeter is 46.6 feet

Step-by-step explanation:

The length of Chen’s office is 15.5 feet and the width is 7.8 fee

length =15.5

width = 7.8

Use the formula [tex]P = 2l + 2w[/tex]

where 'l' is the length and 'w' is the perimeter

Plug in the values of length and width in the perimeter formula

[tex]P = 2l + 2w[/tex]

[tex]P = 2(15.5) + 2(7.8)=46.6[/tex]

So the perimeter is 46.6 feet

The perimeter of the office is 46.6 feet

The office is in the shape of a rectangle

A rectangle is a 2-dimensional quadrilateral.

Characteristics of a rectangle

The perimeter of a rectangle = 2(length + width)

2length + 2width

2(15.5) + 2(7.8)

31 + 15.6 = 46.6 feet

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The dog food was originally 20 dollars

Answer: $20

Step-by-step explanation:

4 x 5 (if you used a chart you would get why I used 5) would equal 20, which means $20 is the cost of the bag of dog food without the coupon

Answer:21

Step-by-step explanation:

if there are 21 feet of ribbon and we need it in foot long pieces there are 21

Answer:

35

Step-by-step explanation:

Answer:

  13.98 in²

Step-by-step explanation:

I don't understand it, either.

Point N is part of a "segment" that above and to the right of chord MO. It is the sum of the areas of 3/4 of the circle and a right triangle with 7-inch sides. The larger segment MO to the upper right of chord MO has an area of about 139.95 in², which is not an answer choice.

__

The remaining segment, to the lower left of chord MO does not seem to have anything to do with point N. However, its area is 13.98 in², which is an answer choice. Therefore, we think the question is about this segment, and we wonder why it is called MNO.

The area of a segment is given by the formula ...

  A = (1/2)(θ -sin(θ))r² . . . . . . where θ is the central angle in radians.

Here, we have θ = π/2, r = 7 in, so we can compute the area of the smaller segment MO as ...

  A = (1/2)(π/2 -sin(π/2))(7 in)² = 24.5(π/2 -1) in² ≈ 13.9845 in²

Rounded to hundredths, this is ...

  ≈ 13.98 in²

Answer:

6 people would be in each row // It isn't possible for there to be 7 equal rows

Step-by-step explanation:

36 members/6 rows= 6 people per row // 36 members/7 rows= 5.14..... people per row (just doesn't work!)

the center is : (-8 , 12)

Answer: [tex]3\sqrt{2}\ m[/tex]

Step-by-step explanation:

The perimeter of a square is:

[tex]P=4s[/tex]

Where "s" is the lenght of a side of the square.

Then, if the perimeter of this square is 12 m, you can solve for "s" and find its value:

[tex]s=\frac{P}{4}\\\\s=\frac{12\ m}{4}\\\\s=3\ m[/tex]

You can calculate the length of the diagonal with this formual:

[tex]d=s\sqrt{2}[/tex]

Where "s" is the lenght of a side of the square.

Substituting the value of "s" into the formula  [tex]d=s\sqrt{2}[/tex], you get that the lenght of the diagonal of this square is:

[tex]d=3\sqrt{2}\ m[/tex]

Answer:

x = 2[tex]\sqrt{34}[/tex]

Step-by-step explanation:

Using  Pythagoras' identity on the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

x² = 6² + 10² = 36 + 100 = 136

Take the square root of both sides

x = [tex]\sqrt{136}[/tex] = [tex]\sqrt{4(34)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{34}[/tex] = 2[tex]\sqrt{34}[/tex]

The answer is the third one.

The first two are easy, you can see that the radius of S is 4 and the radius of T is 5-4=1.

The point of intersection is where the two circles touch each other, and is is (4, 1), because you have to put the x value first.

The equation of the tangent line is just y=4, because it is a straight vertical line.

Answer:

  those angles are congruent

Step-by-step explanation:

ABCD is a rhombus. The diagonals of a rhombus are angle bisectors. The two angles that result from bisecting angle C are congruent.

Answer:

They are the same.

Step-by-step explanation:

[tex]V=209.44[/tex] | Formula for the volume of a cone: [tex]V=\pi r^2\frac{h}{3}[/tex]

Answer:

the interquartile range is 13.5

minimum 16

maximum 43

medium 29

lower  Q1  24

upper Q3  37.5 or 38

Range 27

ANSWER

Option B

EXPLANATION

The equation given to us is;

[tex] {(x - 2)}^{2} = 12(y - 3)[/tex]

Comparing this to the general parabolic equation:

[tex] {(x - h)}^{2} = 4p(y - k)[/tex]

We have h=2 and k=3.

The vertex of this parabola is (h,k) which is (2,3).

This parabola also opens upwards because the value of p is positive.

The correct graph is B.

Answer:

  c. intersection of the side and the perpendicular passing through the center

Step-by-step explanation:

The radius of the incircle is the distance from the center of that circle (known) to the nearest point on any side. That point is at the intersection of a perpendicular line through the center of the incircle.

Answer:

  1.3×10⁻² = 0.013

Step-by-step explanation:

The "E" stands for "×10^", so 1.3E-2 means 1.3×10^-2.

Of course 10^-2 = 1/10^2 = 1/100 = 0.01, so

  1.3E-2 = 1.3×10^-2 = 1.3×0.01 = 0.013

_____

This notation was used by early computers to print results where the character set was limited and superscripts could not be printed.

Answer:

False

Step-by-step explanation:

SA=2πrh+2πr²

SA = 2 · (3.14) · 3.6 · 9.7 + 2 · (3.14) · 3.6²

SA = 6.28 · 34.92 + 6.28 · 12.96

SA = 219.30 + 81.39

SA = 300.69

For this case we have that by definition, the surface area of a cylinder is given by:

[tex]SA = 2 \pi * r * h + 2 \pi * r ^ 2[/tex]

Where:

A: It's the radio

h: It's the height

Substituting according to the data we have:

[tex]SA = 2 \pi * 3.6 * 9.7 + 2 \pi * (3.6) ^ 2\\SA = 219.2976 + 81.3888\\SA = 300.6864 \ units ^ 2[/tex]

If we round up we have:

[tex]SA = 300.69 \ units ^ 2[/tex]

Answer:

False

Answer:

Two solutions were found :

6x^2-x1=0

x = -1/3 = -0.333

x = 1/2 = 0.500

The solution of the equation 6x² - x - 1 = 0 are x = 1/2 and x = -1/3 after using the quadratic formula.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  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:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a quadratic equation:

6x² - x - 1 = 0

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

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

[tex]\rm x = \dfrac{1 \pm\sqrt{25}}{12}[/tex]

[tex]\rm x = \dfrac{1 \pm 5}{12}[/tex]

x = 6/12 = 1/2 or

x = -4/12 = -1/3

Thus, the solution of the equation 6x² - x - 1 = 0 are x = 1/2 and x = -1/3 after using the quadratic formula.

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