Evaluate: (-2)5
A: 32
B: 10
C: -10
D: -32

Answer:

C is the correct answer

Step-by-step explanation:

it is geometric  sequence

r=6/8=4.5/6=3/4

By using this equation:

a(n)=a*r^(n-1)

and we have a=8 , r=3/4

Then       a(n)=8*(3/4)^(n-1) ⇒(C)

hope this helps

Explicit rule for this sequence is an = 8 • (3/4)^n-1

Explicit formulas are helpful to represent all the terms of a sequence with a single formula.

Given a sequence: 8, 6, 4.5, 3.375, ...

We have, 6/8=4.5/6=3.375/4.5 = 0.75 = 3/4

Therefore, the sequence is a geometric sequence,

r=6/8=4.5/6=3/4

By using this equation:

a(n) = a*r^(n-1)

we have a=8, r=3/4

a(n)=8*(3/4)^(n-1)

Hence, the explicit rule for this sequence will be an = 8 • (3/4)^n-1

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By sοlving the equatiοn, x is apprοximately equal tο 4.

An equatiοn is a mathematical statement that shοws that twο expressiοns are equal. It cοnsists οf twο sides separated by an equals sign (=).

Tο sοlve fοr x in the equatiοn:

91 =3ˣ + 10

We can first isοlate the expοnential term οn οne side οf the equatiοn by subtracting 10 frοm bοth sides:

81 =3ˣ

Nοw we can use lοgarithms tο sοlve fοr x. Taking the natural lοgarithm οf bοth sides, we have:

ln(81) = ln(3ˣ)

Using the lοgarithmic identity that ln(3ˣ) = b ln(a), we can simplify the right-hand side:

ln(81) = x ln(3)

x = ln(81) / ln(3)

x = ln(3⁴) / ln(3)

x = 4*ln(3) / ln(3)

x = 4

Therefοre, x is apprοximately equal tο 4.

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Answer: 8

72π=226.19

226.19=π3^2h

226.19=π9h

226.19=28.27h

226.19/28.27=h

8=h

I hope this is good enough:

Answer:

Step-by-step explanation:

Answer is 8

Part A

Coordinates before dilation

A = (-2, 4)

B = (-2, 3)

C = (-4, 3)

Coordinates after dilation with a scale factor of 2

A' = (-4, 8)

B' = (-4, 6)

C' = (-8, 6)

Part B

Coordinates after a reflection over the y-axis

Coordinates of triangle ABC after a reflection over the y-axis by negating the x-axis.

A' = (2, -4)

B' = (2, -3)

C' = (4, -3)

The decomposed relations are R2 (ABCEI), R3 (CDI), and R4 (CD).

a. To calculate the candidate key for the relation R1, we will calculate the closure of all the attributes using the functional dependencies given in F1. We can start by calculating the closure of attribute A, which is A+ = A, C, and D.

However, A does not form a candidate key since it does not contain all the attributes of R1. We can move on to calculating the closure of attribute AB.

A+ = AB, C, D, and I.

Since A and B together can generate all attributes of R1, AB is a candidate key. We can verify this by checking if the closure of AB+ generates all attributes of R1, and indeed it does.

Similarly, we can calculate the closure of attributes CD, EC, and EI to see if they can form candidate keys.

CD+ = C, D, and I, EC+ = A, B, C, and E, and EI+ = C and D. Therefore, the candidate keys for R1 are AB, CD, EC, and EI.

b. Attribute closure for (ACD) and (BCI):

ACD+ = A, C, D, IBCI+ = B, C, D, E, I

c. To find the minimal cover (Fc) of the relation R1, we can start by eliminating the redundant functional dependencies in F1 using the following steps:

Eliminate redundant dependencies: We can eliminate the dependency CD → I since it is covered by the dependency C → DI

Obtain only irreducible dependencies: We can simplify the dependency EC → AB to E → AB since C can be eliminated since it is a non-prime attribute.

Remove extraneous attributes: We can remove the attribute C from A → C since A is a superkey for R1. Therefore, the minimal cover (Fc) of the relation R1 is:

A → CC → DDI → CE → ABE → C

d. To decompose the relation R1 into BCNF form, we can use the following steps:

Identify dependencies violating BCNF:

The dependencies AB → C and EC → AB are violating BCNF since the determinants are not superkeys for R1.

Decompose the relation: We can create two new relations R2 and R3 as follows:

R2 (ABCEI) with dependencies AB → C and E → ABR3 (CDI) with dependencies C → DI and CD → I

Both R2 and R3 are in BCNF since all the determinants are superkeys for the respective relations.

However, they are not a lossless join decomposition since there is no common attribute between R2 and R3.

Therefore, we need to add a new relation R4 (CD) with the primary key CD, which has a foreign key in R3.

This ensures that the join of R2, R3, and R4 is lossless. Therefore, the decomposed relations are R2 (ABCEI), R3 (CDI), and R4 (CD).

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55

you know you can just use a calculator or a search engine for that, right?

Answer:

i got 69 it should be right

Step-by-step explanation:

Answer:d

Step-by-step explanation:

For a catering company, which used the linear function for calculating the total cost of parties, the cost to cater a dinner party with 90 guests is equals to the $42750.

We have a table form data of total cost of parties for a catering company. There is use of linear function to determine total cost of parties. Table look like as below,

Cost for dinner parties | number of guests

(each guest)

$315 30

$555 60

We have to determine the cost to cater a dinner party with 90 guests. For this we use simple multiplication arithmetic method. As we see in table, cost of cater a dinner party with 30 guests = $315 for each , that is cost for one guest = $315

so, cost of cater a dinner party with 30 guests = 30 × $315 = $ 9450

Similarly, when number of guests is 60 in count, cost of cater a dinner party = $555 for each one

So, total cost of cater a dinner party with 60 guests = 60× $555 = $ 33300

Now, we have total guest = 90

The cost to cater a dinner party with 90 guests

= cost to cater a dinner party with 30 guests + cost to cater a dinner party with 60 guests = $9450+ $33300

= $42750

Hence, required value is $42750.

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Answer:

5000

Step-by-step explanation:

in order to find how many revolutions, you need to find the circumference of the circle which is  2pi r.

thus, you will get this working out:

circum= 2 times 22/7 times 14

= 88cm

4.4 km = 440000cm

Then, 440000cm divide 88 cm =5000.

Thus, 5000 revolutions.

Answer:

This three-dimensional shape can be created by rotating a rectangle about its base. Another two-dimensional shape that can give this shape is a trapezoid rotated about a line joining two opposite vertices.

(a little confusing but I hope I helped!)

This three-dimensional shape is a cone.

The cartesian coordinate plane is an infinite 2 dimensional plane. Any 2 dimensional figure can be drawn on an infinite 2d plane. Each of the point of a cartesian plane is tracked by a location.

It is the perpendicular distance of that point from the horizontal axis and vertical axis, usually named x-axis and y-axis. The location is then written as: (a,b), where 'a' is that point's shortest distance from the y-axis and called x-coordinate of that point, and 'b' is that point's shortest distance from the x-axis, and called y-coordinate of that point.

We are given that;

A 3D shape can be created by rotating about its base

Now,

It can be created by rotating a right triangle about its base. Another two-dimensional shape that can give this shape is a circle rotated about a line joining two opposite points on its circumference.

Therefore, by locating points the answer will be cone.

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Evaluating the distribution sample surveyed and comparing the long run state of the market of the three companies

i) The distribution of sample as at the beginning month of August is :

  Benfel limited =  5000 customers

  Cromwell Ltd  =   7167 customers

  Samtec  Ltd   =   4400 customers

ii) In the long run Benfel limited will have more customers than Cromwell and Samtec because they both lose more customers to Benfel limited than Benfel loses to them. also Benfel keeps a higher percentage of its customer

i) At the Beginning of the month of August the sample size for each company respectively will be

X * 70/100 = 3500 ∴ x ( sample size at August ) = 5000  ( Benfel )

y * 60/100 = 4300 ∴ y ( sample size at August ) = 7167   ( Cromwell )

z * 50/100 = 2200 ∴ z ( sample size at August ) = 4,400  ( Samtec )

ii) In the long run Benfel limited will have more customers than Cromwell and Samtec because they both lose more customers to Benfel limited than Benfel loses to them. also Benfel keeps a higher percentage of its customers

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A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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The options are analyzed as follows:

1: The overline 0.729 means:

This is a non- terminating recurring decimal hence it is rational.

2: The nuumber 0.0195347... is a non terminating and non recurring decimal hence it is irrational.

3. The number -12 is rational since it is an integer.

4.The number 4.565656... is a non terminating recurring decimal hence it is rational.

5. The number given by:

Since square root of 2 is irrational and 3 is rational the product is irrational.

Also the decimal is non terminating non recurring hence it is irratonal.

So the options 2 and 5 are irrational.

Answer:

2x² - xy - 15y²

Step-by-step explanation:

(2x + 5y)(x - 3y)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(x - 3y) + 5y(x - 3y) ← distribute parenthesis

= 2x² - 6xy + 5xy - 15y² ← collect like terms

= 2x² - xy - 15y²

The percent of decrease in the cost of tuition is 11.11%

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

Last year = 9390

This year = 8451

The percent of decrease in the cost of tuition is calculated as

Percent = (Last year - This year)/Last year * 100%

substitute the known values in the above equation, so, we have the following representation

Percent = (9390 - 8451)/8451 * 100%

Evaluate

Percent = 11.11%

Hence, the percent of decrease in the cost of tuition is 11.11%

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39 subjects were tested in this simple one-way ANOVA.

The df for F distribution is (treatment df, error df)

Using given information

Treatment df = 7

Error df = 31

Total df= 7+31 = 38

Again, total df = N-1, N= number of subjects tested

Then, N-1 = 38

=> N= 39

One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.

The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.

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Answer:

62 squares is correct

Step-by-step explanation:

The pattern is increasing by 3 each time.

The pattern is progressing arithmetically

The nth term of an arithmetic progression is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = 3 , then

\(a_{n}\) = 5 + 3(n - 1) = 5 + 3n - 3 = 3n + 2

Then

a₂₀ = 3(20) + 2 = 60 + 2 = 62

The value of x in the triangle is 777.9

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

The triangle

The value of x in the triangle can be calculated using the following sine rule

sin(40) = 500/x

Make x the subject of the formula

So, we have

x = 500/sn(40)

Evaluate

x = 777.9

Hence, the value of x is  777.9

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Answer:

5/6

Step-by-step explanation:

2 1/2 -> 5/2

5/2 divided by 3, which is 0.83333333333

0.83333333333 as a simplied fraction is 5/6

Part 1: Kate should buy 100 coats to maximize profits.Part 2: The probability that the coats sell out is 0.25 (25%), and the probability that they do not sell out is 0.75 (75%).

To maximize profits, Kate should consider the scenario where she sells all the coats without any left over at the end of the season.

Since the sales are uniformly distributed between 100 and 400, buying 100 coats ensures that she meets the minimum expected sales of 100. Purchasing more than 100 coats would increase costs without a guarantee of higher sales, potentially leading to excess inventory and lower profits.

Given that the sales are uniformly distributed between 100 and 400 coats, Kate's purchase of 100 coats covers the minimum expected sales.

The probability of selling out can be calculated by finding the proportion of the range covered by the desired sales (100 out of 300). Therefore, the probability of selling out is 100/300 = 0.25 or 25%. The probability of not selling out is the complement, which is 1 - 0.25 = 0.75 or 75%.

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Answer:

It's the last one :)

Step-by-step explanation:

I hope you find this helpful, I can also explain it if you need

Answer:

I can't answer your question

Answer:

y = 10

Step-by-step explanation:

\(\displaystyle \frac{6+9+18}{3}=\frac{12+y}{2}\\ \\\frac{33}{3}=\frac{12+y}{2}\\ \\11=\frac{12+y}{2}\\ \\22=12+y\\\\10=y\)

3

6+9+18

=

2

12+y

3

33

=

2

12+y

11=

2

12+y

22=12+y

10=y

answer: 10=y

Answer:

Answer down below!

Step-by-step explanation:

Since we do have the value of the chairs, we can do 12 * 165 to get a total of 1,980

Now, with this, to find the price of the table, you do 2,400 - 1,980

That will give you your answer of 420.

The surface area of the right rectangular prism with given dimensions is equal to 207.4 square centimeters.

Surface area of the right rectangular prism

= 2 ( length × width + width × height + height × length )

In the diagram,

length of the right rectangular prism = 6.7cm

Width of the right rectangular prism = 6.0cm

Height of the right rectangular prism = 5cm

Substitute the values in the formula we get,

Surface area of the right rectangular prism

= 2 × ( 6.7 × 6 + 6 × 5 + 5 × 6.7 )

= 2 × ( 40.2 + 30 + 33.5 )

= 2 ×  103.7

= 207.4 square centimeters.

Therefore, the surface area of the prism with length 6.7 cm , width 6.0 cm and height 5cm is equal to 207.4 square centimeters.

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The number of tornadoes that occur in the United States each year is 1158

Let's call the number of tornadoes in the United States each year "x".

The number of tornadoes in Florida each year is 5.7% of this total

So we can write:

66 = x * 5.7%

Divide both sides by 5.7%

x = 66/5.7%

Evaluate

x = approximately 1158

So, approximately 1162 tornadoes occur in the United States each year.

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1) An isosceles triangle is a triangle with (at least) two equal sides.

2) An equilateral triangle is a triangle in which all three sides have the same length.

3) A scalene triangle is a triangle that has no equal sides.

4) The right triangle has one 90 degree angle and two acute (< 90 degree) angles.

Answer:

1:3

Step-by-step explanation:

4:(3+4+5)

4:12

1:3

Answer:

no solution

Step-by-step explanation:

It's no solution because the first step to do is to subtract 9 from both sides which would give you x=x-18 but now your stuck here because if you subtract x from both sides then you wont have an x so this equation has no solution

Answer:

No solution

Step-by-step explanation: