-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4
5 6 7
Select the correct inequality symbol: x? 1
OK

The equation which describes the nth term for the sequence 3/5,1/5,1/15,1/45,\cdots2 is  an = 3/5 (1/3)n-1 , which is option C.

We use the formula an=a1+(n−1)d an = a1 + (n−1)d , to calculate the nth term of a given sequence. The 'n' here  represents a number.

Using the nth term we can any number on the sequence which allows us to locate any term in a series.

By substituting different values for the term number, we can create a series utilizing the nth term (n).

To find the tenth term we use the sequence formula and substitute a random number in place of n.

Example if we need to find the first 50 term then we will substitute n as 50.

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Answer:

The answer is $4.50.

Step-by-step explanation:

To solve this problem, divide the result ($6.75) by the percentage (150%). This gives you the original number which was multiplied by the percentage. So,

$6.75 / 150% = $4.50.

Answer:

$4.50

Step-by-step explanation:

150% × □ = $6.75

First, we can rewrite 150% as the fraction 3/2.

[tex]\dfrac{3}{2} \times \square = \$ 6.75[/tex]

Then, we can also rewrite 6.75 as the fraction 27/4.

[tex]\dfrac{3}{2} \times \square = \$ \, \dfrac{27}{4}[/tex]

Next, we can isolate the unknown by multiplying both sides by 2/3 (the reciprocal of 3/2).

[tex]\left(\dfrac{2}{3} \right)\left(\dfrac{3}{2} \times \square \right) = \left(\$ \, \dfrac{27}{4}\right)\left(\dfrac{2}{3} \right)[/tex]

After that, simplify by multiplying out the numerators and denominators on the right side of the equation.

[tex]\square = \$ \, \dfrac{27 \times 2}{4 \times 3}[/tex]

[tex]\square = \$ \, \dfrac{54}{12}[/tex]

Finally, simplify the expression on the right side to a decimal form.

[tex]\square = \$ \, \dfrac{54 \div 2}{12 \div 2}[/tex]

[tex]\square = \$ \, \dfrac{27 \div 3}{6 \div 3}[/tex]

[tex]\square = \$ \, \dfrac{9}{2}[/tex]

[tex]\square = \$ 4.50[/tex]

Answer:

[tex]L=3.999 \: dm[/tex]

[tex]A=183.4581\:dm^{2}[/tex]

Step-by-step explanation:

La relación del apotema y el lado de un dodecágono regular está dada por la siguiente ecuación:

[tex]a_{p}=L\frac{2+\sqrt{3}}{2}[/tex]

Sabiendo que la apotema es 7.464 el lado sera:

[tex]L=\frac{2*a_{p}}{2+\sqrt{3}}[/tex]

[tex]L=\frac{2*7.464}{2+\sqrt{3}}[/tex]

[tex]L=3.999 \: dm[/tex]

Por otro lado el area de un dodecágono regular esta dada por:

[tex]A=6a_{p}L[/tex]

[tex]A=6*7.646*3.999[/tex]

[tex]A=183.4581\:dm^{2}[/tex]

Espero te haya sido de ayuda!

Answer:

y = 9.

Step-by-step explanation:

y = kx where k is a constant.

Substituting the given values:

15 = k*10

k = 15/10 = 1.5 so

y = 1.5x is the relation.

When x = 6

y = 1.5 * 6

= 9..

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

y = kx

k = 1.5 and x = 6

The value of y when x = 6 is 9.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation.

3x = 5 is an equation.

We have,

If y varies directly as x.

This means,

y ∝ x

y = kx

where k is the constant of proportionality.

Now,

y = 15 when x = 10

This means,

15 = 10k

k = 15/10

k = 1.5

Now,

y = kx

k = 1.5

x = 6

y = 1.5 x 6

y = 9

Thus,

y = kx

k = 1.5 and x = 6

The value of y when x = 6 is 9.

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Answer:

Step-by-step explanation:

Without calculation, we should get:

Lets confirm

Area of the drawing:

Area of the wing:

Divide the area of the wing by the area of the drawing:

As we see the ratio is same, drawing to wing:

Store Z charges $8 per movie.

An expression is the mathematical statement that is formed by numerical and variable terms along with operators. It represents the method of a mathematical operation in a symbolic form.

given, store A charges $8 per movie.

for each order shipping fee = $10

if store A is ordered x movie at a time than the total cost for one order

represented by the expression, $8 x + $10.

As per question, store Z cost always the same as store A for one order.

so, cost for one order in case of store Z = $8x + $10

if x denotes the number of movies that is ordered at a time, then the Z store charges $ 8 per movie.

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A customer purchased 1/4 pound of ham, 1 1/2 pounds of turkey, 1 pound of roast beef, and 3/4 pound of bologna. Therefore, the customer pay for the purchase before sales tax is $22.

Sales tax:

A sales tax is a tax paid to a governing body on the sale of certain goods and services. Laws generally allow sellers to collect taxes from consumers at the time of purchase. When a tax on goods or services is paid by consumers directly to the governing body, it is usually called a use tax. Laws often provide excise and use tax exemptions for certain goods or services, such as: food, education, medicine, etc. Value Added Tax (VAT) charged on goods and services is related to sales tax.

For Example:

I am shopping at The Clothing Boutique and would like to estimate the total after tax before checking out. After counting the total price of the items in the cart, the total is $100. Sales tax in this county is 9.5%, so you charge 9.5% (100 x 0.095) of $100.

According to the question:

The purchase before sales tax:

                   = 1/4 × $5.99 + 1 1/2 × $4.99 + 1 × $6.99 + 3/4 ×2.99

                   = $1.5 + $7.5 + $6.99 + $5.24

                   = $21.23 ≈ $22

Therefore,  the customer pay for the purchase before sales tax is $22.

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Answer:

n(B U S) = 75

Step-by-step explanation:

P(E) =  

Let 'B' be the event of having twelve year old brother

Let 'S' be the event of having twelve year old sister

given data  P(BUS) = 0.25

given total survey  n(survey) = 300

we have to find the value is n(BUS) =?

we will use probability definition we get, P( BUS) =

substitute given values, we will get solution

after cross multiplication , we get

n(BUS) = 0.25 X 300

n(BUS) = 75

Answer:

75 twelve-year-olds will have a brother or sister

25% of 300 = 75

Step-by-step explanation:

Step 1: Our output value is 300.

Step 2: We represent the unknown value with x

Step 3: From step 1 above, 300=100%.

Step 4: Similarly, x=25%

Step 5: This results in a pair of simple equations:

300=100% (1).

x=25% (2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

300/x    100%/25%

Step 7: Again, the reciprocal of both sides gives

x/300     25/100

x=75

Therefore, $25% of 300 is 75

The graphic solution for each system of equations is given as follows:

20. (5/3, 28/3).

21. (0.205, 3.846).

22. (-1/2, -5/2).

23. (-4.615, 7.462).

The graphic solution of a system of equations is given by the point of intersection of all the equation that compose the system.

For this problem, the systems are composed by functions of the first degree, hence they are linear functions.

For each system, the graph is traced, and then the point of intersection is identified on the graph given at the end of the answer.

Each system is traced on a different color, as follows:

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The Third side of the right triangle with two sides can be found by Pythagoras Theorem that means by adding the square of other two sides .

What is Pythagoras Theorem ?

The Pythagoras Theorem states that the , in a Right Triangle, the square of the hypotenuse side (longest side) is equal to the sum of squares of the other two sides“.

The sides of this triangle are named as Perpendicular, Base and Hypotenuse. where , the hypotenuse is longest side of the triangle , because ,  it is opposite to the angle 90°.

Therefore , the third side (longest side) of a right triangle with two sides can be found by adding the square of the other two sides .

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Answer:

3,869.72

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

cot∅ = 1/tan∅

cot∅ =  1/2

Using multiplication as a mathematical operator, Kareem will 864 more cards and Nicole will get 24 more cards

Multiplication is a mathematical operation that involves multiplying two or more numbers together. It is one of the four basic operations in mathematics, along with addition, subtraction, and division.

In this problem, we may require the use of some mathematical operators to find the solution to the problem.

1.

He currently has 216 cards, but he needs 15 sets of cards.

1 set of card = 72 cards

Let's calculate the number of sets he currently has.

1 set of card = 72 cards

x set = 216 cards

cross multiply both sides and solve for x.

x * 72 = 216 * 1

x = 216 / 72

x = 3 sets

He currently has 3 sets of cards.

Since he wants 15 sets of cards, we will need 12 more set of cards.

The number of cards can be calculated by multiplying 12 by 72

Number of cards = 12 * 72 = 864

He needs 864 more cards.

2.

1 set of card = $27

1 set = 72 cards

But she's bringing $9 to join, we can calculate the ratio of cards she will get.

1 / 27 = x / 9

x = 9 / 27

x = 1/3

She will get 1/3 of the cards bought which will be

72 * 1/3 = 24 cards

She will get 24 cards

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9514 1404 393

Answer:

Step-by-step explanation:

Let c represent the number of calendars sold. Then 95-c is the number of seed packets sold. The total revenue is ...

  0.65(95-c) +1.50c = 84.70

  0.85c = 22.95 . . . . . . . . . . . . subtract 61.75

  c = 27

  95 -c = 68

Moana sold 68 seed packets; Afa sold 27 calendars.

Answer:

3.201 x 10^9 and 4.85 10^3 = 3 201 004 850 = 3.20100485 × 10^9

Step-by-step explanation:

= 3.20100485 × 10^9

(scientific notation)

= 3.20100485e9

(scientific e notation)

= 3.20100485 × 10^9

(engineering notation)

(billion; prefix giga- (G))

= 3201004850

(real number)

Answer:

i do not not the answer of this question

Answer:

absolute deviation means distance between each data value and the mean of the data set.

Step-by-step explanation:

(MAD)

or

(Average)

All must add up to 360°

100+44=144°

360-144

= 216°

Answer:

144°

Step-by-step explanation:

Every possible triangle's 3 angles add up to 180.

So when you are given 2 angles of a triangle (100° and 44°), you can find the 3rd one by subtracting the given angles from 180°.

100°+44°=144°

180°-144°=36°

That's the missing angle inside the triangle.

We need that to find angle 1 because 2 angles that make up a straight line add up to 180°. So 180-36°=144°.

To translate a triangle with vector (-5/2), you need to subtract 5/2 from the x-coordinate and add 2 to the y-coordinate of each vertex of the triangle. This will move the triangle 5 units to the right and 2 units up.

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

To translate a triangle with a vector, you can use the vector to adjust the coordinates of the triangle's vertices.

For example, if the triangle has vertices at (x1, y1), (x2, y2), and (x3, y3), you can translate it by the vector (-5/2) by subtracting 5/2 to the x-coordinates of the vertices. The new coordinates of the translated triangle would be (x1-5/2, y1), (x2-5/2, y2), and (x3-5/2, y3).

This will move the triangle 5/2 units to the left along the x-axis.

It is important to note that the translation vector you provided only has one component, which is -5/2. Since the vector only has x component, the translation will only occur along the x-axis and the y-coordinate of the vertices will not change.

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Answer: the answer is 1800

Step-by-step explanation:

18 percent of 10000 is 1800

Answer:

Step-by-step explanation:

Given triangle EFG:

The rule for this dilation is:

The coordinates of E'F'G' are:

Options (verified with the graph):

Segment EH and segment E prime H prime both pass through the center of dilation.

The slope of segment EF is the same as the slope of segment E prime H prime.

Segment E prime G prime will overlap segment EG.

Segment EH ≅ segment E prime H prime.

answer is A gl on ur test

Answer:

360.82

Step-by-step explanation:

Answer: A circle has a circumference C=1133.54 units. Substitute the value, Therefore, the diameter of the circle is 361 units.

Step-by-step explanation:

Answer: 35

Step-by-step explanation:

So first you plug 5 into the equation which is:

10(5)-15

which is 50-15

50-15 is 35

Answer:

35

Step-by-step explanation:

plug 5 in for x and u will get 35

The time it will take for the rescued sailors to be 57 miles from their life boat is given as follows:

3.35 hours.

Relative velocity is obtained considering the direction in which the objects are traveling, as follows:

For this problem, the sailors and the lifeboat are traveling in opposite directions, hence the relative velocity, considering each of their velocities is given as follows:

v = 14 + 3 = 17 miles.

(meaning that they get 17 miles farther each hour).

Velocity is distance divided by time, hence the time it will take for them to be 57 miles apart is given as follows:

17 = 57/t

17t = 57

t = 57/17

t = 3.35 hours.

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Answer:

The answer is 89.22

Step-by-step explanation:

Answer:

Yes, that would be 0

As simple as 8-8=0

You have a great day/night too :)

Answer:

$64.00

Step-by-step explanation:

Let the amount for the groceries before tax be Y

If the cost inclusive of tax at 7% is $68.48, then

Y + 7% * Y = $68.48

100%Y + 7%Y = $68.48

107%Y = $68.48

Recall that 107% = 1.07

1.07Y = $68.48,

Divide both sides by 1.07

Y = $68.48/1.07

Y = $64.00

Hence the cost of the groceries before tax is $64

Answer:

14 Quarts

Step-by-step explanation:

1 Gallon = 4 Quarts.

3x4 = 12 + 2 = 14 Quarts.