Write an equation to the nth term of the arithmetic sequence. (write the equation for the sequence)

15, 13, 11, 9

Answer:

2(x+3)=4

2x+6=4

2x=4-6

2x=-2

2x÷2

x=1

Answer:

The terms that Misha should combine are 3x – 2x and –8 – 7

Step-by-step explanation:

Misha have the equation : 3x-2(x+3) = 4(x-2)-7

After applying distributive property, a(b+c) = ab+ac

3x - 2x - 6 = 4x - 8- 7 ..............(1)

Now, we need to combine the like terms, like terms are the terms having the same coefficient and combining them means to combine their coefficients.

In equation (1), 3x and -2x are like terms as it have the same coefficient x

Hence we will solve them and get (3-2)x = x

Similarly, -8 and -7 can be solved and we get -7-8 = -15

Now, the equation becomes, x-6 = 4x-15

Then, again collecting the like terms on L.H.S  and R.h.s and then solving, we get

4x - x = 15-6

3x = 9

x = 3

Answer:

[tex] \sqrt{74} [/tex]

Step-by-step explanation:

Use the Pythagorean theorem.

[tex] a^2 + b^2 = c^2 [/tex]

We are solving for the hypotenuse, c.

[tex] c^2 = a^2 + b^2 [/tex]

[tex] c^2 = 5^2 + 7^2 [/tex]

[tex] c^2 = 25 + 49 [/tex]

[tex] c^2 = 74 [/tex]

[tex] c = \sqrt{74} [/tex]

Answer: [tex] \sqrt{74} [/tex]

Answer: 3/5

Step-by-step explanation:

If 30 acres are without grass and 20 acres have grass then you set up a fraction with the area without grass on top and the total area on the bottom which would be 30/50 then simplify to get 3/5

D is the answer because the y =-2 so that's why that's the answer

The height of the cone is approximately 7.01 centimeters.

We know the volume (V) is 66 cubic centimeters and the radius (r) is 3 centimeters. Substitute these values into the formula:

V = 1/3πr²h

66 = 1/3 × π × 3² × h

Simplify the equation:

Multiply both sides by 3:

200 = π × 9 × h

Cancel out the common factor of 9:

200/9 = π × h

Solve for the height (h):

Divide both sides by π:

h = 200/9π

Then, we have that;

h ≈ 7.01 cm

Therefore, the height of the cone is approximately 7.01 centimeters.

Answer:

y=11x-47

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

$849.50-$685=$164.50 which is less than 685 so it all had to be overtime hours then I did 164.50 ÷ $23.50 and got 7

Answer:

9

Step-by-step explanation:

if you add 5,8,9,11,and 7 you get 40 then you need to divide it by 5 because their are 5 numbers so then 40 divided by 5 is 8 so the number is 9

Final answer:

To determine the missing number in the data set with a mean of 8, we set up the equation 8 = (5 + 8 + 11 + x) / 4. Solving for x, we find that the missing number is 8.

Explanation:

To find the missing number in the data set 5, 8, 11, ?, where the mean is 8 points, we can use the formula for the mean of a data set. The mean is the sum of all data points divided by the number of points. Since we know the mean and three of the four numbers, we can create an equation to solve for the missing number:

Mean = (Sum of all data points) / (Number of data points)

8 = (5 + 8 + 11 + x) / 4

Now, solve for x:

8 * 4 = 5 + 8 + 11 + x

32 = 24 + x

x = 32 - 24

x = 8

Therefore, the missing number is 8.

Answer:

A(p)  = 84 ft³

Step-by-step explanation:

Volume of regular prism is equal to V(p):

V(p)  = Area of the face * h

we know h = 3 ft

A regular hexagonal prism has 6 equal sides forming its face.

Finding the area (A₂) of a triangle formed  by center of the prism, straight lines between the center and two adjacents vertex and side between these two vertex, and then multiply that area by 6 (number of equal triangles inside hexagonal prism) we get the area of the face, but  we need further consideration, the triangle described above, has doble area of (A₁), the triangle formed by apothem, half side, and straight line between center of the face and the vertex, therefore.

Area of small triangle = base * height

A₁  = (1/2) * 4 * 3,5

A₁  =  2*3,5

A₁  = 7 ft²

A₂  = 2* 7    

A₂  = 14 ft²

Finally volume  of the hexagonal prism is:

V(p) = 6 * 14

A(p)  = 84 ft³

Answer:

the second equation converted to slope-intercept form is y = -1/3x -1

Step-by-step explanation:

The requried there are 19 ways to choose a student who is not a seventh grader.

Arithmetic is a branch of mathematics that deals with the study of numbers, their properties, and their operations. It involves the basic operations of addition, subtraction, multiplication, and division, as well as more advanced operations such as exponents, roots, logarithms, and trigonometric functions.

There are a total of 12 + 14 + 7 = 33 students in the gym class.

The number of ways to choose a student who is not a seventh grader is equal to the number of ways to choose a sixth grader or an eighth grader.

The number of ways to choose a sixth grader is 12, and the number of ways to choose an eighth grader is 7.

So the total number of ways to choose not a seventh grader is:

12 + 7 = 19

Therefore, there are 19 ways to choose a student who is not a seventh grader.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ3

Final answer:

The requried there are 19 ways to choose a student who is not a seventh grader.

Explanation:

In this scenario, we need to find the ways of choosing not a seventh grader from the gym class.

To do this, we calculate the total number of ways to select a student from the gym class and then subtract the ways of selecting a seventh grader.

The total number of ways to select a student from the gym class is 12 (sixth graders) + 14 (seventh graders) + 7 (eighth graders) = 33.

The number of ways of selecting a seventh grader is 14 (since there are 14 seventh graders).

Therefore, the number of ways of not choosing a seventh grader is 33 - 14 = 19 ways.

So, there are 19 ways to choose not a seventh grader.

Answer: 169.65 cm

Step-by-step explanation: I just put this into a calculator, hope this helps!

Answer:

169.64600329385

Step-by-step explanation:

Answer:

There was a 54.5% probability of you getting a blue shirt on Monda and a 50% chance on Tuesday.

Answer:

Step-by-step explanation:

D.

No, basically because it fails the vertical line test. The correct option is C.

The vertical line test determines whether a relationship between two variables defines a function. If and only if vertical lines intersect the graph at least once, a relation is a function.

The graph fails the vertical line test because vertical lines intersect it at more than one point.

This means that some x-values correspond to multiple y-values, which violates the definition of a function.

In other words, for each x-value, there should be only one y-value, but this is not the case for all x-values. As a result, the graph does not depict a function.

Thus, the correct option is C.

For more details regarding vertical line text, visit:

https://brainly.com/question/20915624

#SPJ7

Answer:

[tex]135[/tex]

Step-by-step explanation:

[tex]2(5) + 5(100 - 15(5))\\10 + 500-375\\135[/tex]

The value of the expression 2x + x(100 – 15x) when x = 5 is 135.

An expression is a number, a variable, or a combination of numbers and variables and operation symbols.

The given expression is,

2x + x(100 – 15x)

Now we have to find the value of expression when x = 5

Put the value of x in the given expression we get,

2(5) + 5(100 – 15*5)

solving the brackets we get,

10 + 5( 100 - 75)

10 + 5*25

10 + 125

135

hence, the value of the expression 2x + x(100 – 15x) when x = 5 is 135.

More about expressions :

https://brainly.com/question/19131200

#SPJ2

The upper quartile is shown incorrectly in the box plot. So, the third option is correct.

It is given that,

Explanation:

Arrange the data values in ascending order.

74, 74, 83, 83, 83, 86, 87, 90, 92, 93, 93, 94

Divide the data in 4 equal parts.

(74, 74, 83), (83, 83, 86), (87, 90, 92), (93, 93, 94)

Now,

Minimum value: 74

First quartile: [tex]\dfrac{83+83}{2}=83[/tex]

Median: [tex]\dfrac{86+87}{2}=86.5[/tex]

Third quartile: [tex]\dfrac{92+93}{2}=92.5[/tex]

Maximum value: 94

The value of the upper quartile in the box plot is 89 which is not equal to 92.5. Thus, the third option is correct.

Learn more:

https://brainly.com/question/10016773

Answer:

105

Step-by-step explanation:

set a ratio so

10/14=?/147

cross multiply

10*147=?*14

1470=14*?

divide 1470 by 14 and get 105

An

Step-by-step explanation:

Answer:

Just about 5-6-7. In that range

Step-by-step explanation:

you have to count up all the fully shaded in squares. And then what u have to do is try and put together the half of squares and so on while counting them up. It is an esta=mation question- mostly.

Answer:

you make squares around it to find the area

Step-by-step explanation:

hope this helps

sorry been trying to find something to say but i don't have a answer for it  wish i could help

Answer:

28 degrees

Step-by-step explanation:

since DBE is 90 degrees, ABE is 90 degrees as well

given that BEF is 62 degrees

you need to subtract 90 from 62

to get 28 degrees as your answer

To find areas and circumferences of circles using similarity, we scale proportions from known circles to unknown circles. The diameter is twice the radius (d = 2r), allowing us to use formulas C = 2πr for circumference and A = πr^2 for area.

To determine the area and circumference of circles using similarity, we can scale up or down from a known circle to an unknown one. The relationships between circles of different sizes but with proportional radii allow us to use the similarity concept. For example, if a small circle has a radius that is half the radius of a larger circle, the area and circumference will also be in proportion to the squares and the linear dimensions, respectively.

The radius (r) and diameter (d) of a circle are directly related by the equation d = 2r. This means that diameter is twice the radius. Given the radius, we can determine the circumference of a circle (C = 2πr) and its area (A = πr2) easily. The role of π (approximately 3.14159) is critical as it provides the constant of proportionality in these equations.

The area of the garden 16√3 ft².

Given: garden base = 8 ft

Find:

Garden surface area =?

First, we must determine the height of the triangle.

82 42 = Height

Height = 64 - 16

Height = 48 cm

43 inches in height

Calculating the garden's area

Garden area = half of bxh

Garden surface area = 1/2 8 43

Garden surface area = 16v/3 ft2

For such more question on area

https://brainly.com/question/30106292

#SPJ6

Answer:

x+1

Step-by-step explanation:

To find the opening price of the stock, we can subtract the 5% gain from the current price. The opening price of the stock in the beginning of the day was approximately $36.47.

To find the opening price of the stock, we need to deduct the 5% gain from the current price of $34.65.

Let x be the opening price.

Since the stock gained 5%, the opening price minus 5% of the opening price equals the current price: x - 0.05x = 34.65.

Simplifying the equation, we get 0.95x = 34.65. To solve for x, divide both sides of the equation by 0.95.

The opening price of the stock in the beginning of the day was approximately $36.47.

Answer:

x = -5/27

Step-by-step explanation:

5 = − 3 · 9x; x = -5/27

Answer:

A

Step-by-step explanation:

We need to use some properties of an isosceles triangle and the Pythagorean Theorem.

First, the vertical line down the middle of the triangle is the height, which means the angle is makes with the base is 90 degrees and it bisects the base. So, we have two right triangles, each with a height of 6 and with a base of 4/2 = 2.

We can now use the Pythagorean Theorem, which states that for a right triangle with legs a and b and hypotenuse c:

a² + b² = c²

Here, a = 6 and b = 2 and x = c, so:

a² + b² = c²

6² + 2² = x²

x² = 36 + 4 = 40

x = √40

Thus, the answer is A.

Answer:

A

Step-by-step explanation:

This triangle contains two congruent right angle triangles

x² = 6² + 2²

x² = 36 + 4

x² = 40

x = sqrt(40)

x = 4sqrt(10)

Answer:

1460 pens

Step-by-step explanation:

Question:

You flip a fair coin. What is P(tails)?

If necessary, round your answer to 2 decimal places.

Answer:

P(tail) = 0.5

Step-by-step explanation:

Given:

A fair die

Required

P(Tails)

A fair die has 2 sides, the head and the tail; each of the sides have equal probability.

The number of head in a die is 1 and the number of a tail in a die is 2.

Let P(tail) represent the probability of obtaining a tail.

P(tail) is calculated by number of tail divided by number of sides of a die.

Hence, P(tail) = ½

P(tail) = 0.50

"The probability of getting tails when flipping a fair coin is [tex]\(\frac{1}{2}\)[/tex] or 0.5.

A fair coin has two equally likely outcomes: heads or tails. Since a fair coin has no bias towards either side, the probability of landing on tails is the same as the probability of landing on heads.

The probability of an event E, denoted as P(E), is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the event E is getting tails. There is one favorable outcome for getting tails, and there are two possible outcomes in total (heads or tails).

Therefore, the probability of getting tails, P(tails), is given by:

[tex]\[ P(\text{tails}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{1}{2} \][/tex]

This fraction simplifies to 0.5, which is the correct probability of getting tails when flipping a fair coin. There is no need to round to 222 decimal places as the probability is exact.

Answer:

2 : 3

Step-by-step explanation:

There are 24 red and 24 black cards in the pack since ratio is 1 : 1

8 red cards are removed leaving 16 red cards, thus

ratio of red : black = 16 : 24 = 2 : 3 ← in simplest form