Find the arithmetic means in the given sequence. 175, ?, ?, ?, 235 a. 185, 195, 205 c. 220, 205, 190 b. 195, 215, 225 d. 190, 205, 220 Please select the best answer from the choices provided A B C D

Given that the coordinates of the three vertices of a square are (4, 14), (10, 14), and (4,8).

The missing coordinate will be at (10,8) on the coordinate plane for the given square.

A vertex is a location in geometry where two or more line segments converge. Vertices are the corners of two-dimensional forms such as squares and triangles. Vertices are the places where three or more faces of a three-dimensional shape, such as a cube or a pyramid, meet.

Four of a square's vertices have the coordinates (4,14), (10,14), and (4,8).

The length of one of the square's sides may be determined using the distance formula, and the length can then be used to determine the coordinates of the missing vertex.

We know that one side of the square has a length of 6 units since the distance between (4,14) and (10,14) is 6 units.

We know that the missing vertex must be 6 units away from (4,8) in the y-direction since the square is symmetric.

The missing vertex therefore has the coordinates (10,8).

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The missing coordinate will be at (10,8) on the coordinate plane for the given square.

A vertex is a location in geometry where two or more line segments converge. Vertices are the corners of two-dimensional forms such as squares and triangles. Vertices are the places where three or more faces of a three-dimensional shape, such as a cube or a pyramid, meet.

Four of a square's vertices have the coordinates (4,14), (10,14), and (4,8).

The length of one of the square's sides may be determined using the distance formula, and the length can then be used to determine the coordinates of the missing vertex.

We know that one side of the square has a length of 6 units since the distance between (4,14) and (10,14) is 6 units.

We know that the missing vertex must be 6 units away from (4,8) in the y-direction since the square is symmetric.

The missing vertex therefore has the coordinates (10,8).

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Answer:

6.02775720469

Step-by-step explanation:

step one: double check with calculator pls :)

step two pls brainliest

Answer:

900 eggs

Step-by-step explanation:

45/50 are marketable

divide the top and bottom by 5

9/10

Multiply this fraction by the 1000 eggs laid

9/10 *1000

900 eggs will be marketable

Answer:

900

Step-by-step explanation:

Hey There!!

STEP 1:

1

Simplify ——————————

(4x + 3y)2

Equation at the end of step

(4x-3y) 1

——————————————————————————— ÷ ————————

(((16•(x2))+24xy)+(9•(y2))) (4x+3y)2

STEP 2:

Equation at the end of step

2

:

(4x-3y) 1

——————————————————————— ÷ ————————

(((16•(x2))+24xy)+32y2) (4x+3y)2

STEP 3:

Equation at the end of step

(4x - 3y) 1

—————————————————————— ÷ ——————————

((24x2 + 24xy) + 32y2) (4x + 3y)2

STEP 4:

4x - 3y

Simplify —————————————————

16x2 + 24xy + 9y2

Trying to factor a multi variable polynomial :

4.1 Factoring 16x2 + 24xy + 9y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization : (4x + 3y)•(4x + 3y)

Detecting a perfect square :

4.2 16x2 +24xy +9y2 is a perfect square

It factors into (4x+3y)•(4x+3y)

which is another way of writing (4x+3y)2

How to recognize a perfect square trinomial:

• It has three terms

• Two of its terms are perfect squares themselves

• The remaining term is twice the product of the square roots of the other two terms

Equation at the end of step

4:

(4x - 3y) 1

—————————— ÷ ——————————

(4x + 3y)2 (4x + 3y)2

STEP 5:

4x-3y 1

Divide ———————— by ————————

(4x+3y)2 (4x+3y)2

5.1 Dividing fractions

To divide fractions, write the divison as multiplication by the reciprocal of the divisor :

4x - 3y 1 4x - 3y (4x + 3y)2

—————————— ÷ —————————— = —————————— • ——————————

(4x + 3y)2 (4x + 3y)2 (4x + 3y)2 1

Canceling Out :

5.2 Cancel out (4x + 3y)2 which appears on both sides of the fraction line.

Final result :

4x - 3y

Hope It Helped!~ ♡

ItsNobody~ ☆

Answer:

I have solved it and attached in the explanation.

Step-by-step explanation:

9514 1404 393

Answer:

  about 0.299 kg/m³

Step-by-step explanation:

Density is the ratio of mass to volume.

  ρ = M/V

  ρ = (10 kg)/(4/3π(2 m)³) = 15/(16π) kg/m³ ≈ 0.299 kg/m³

Answer:

Dylan is 10 years old, and Genesis is 11.

Step-by-step explanation:

If Genesis and Dylan's age are consecutive integers, and Genesis is older, we can represent their ages as:

Dylan's age: x

Genesis' age: x+1

This would mean Genesis is a year older than Dylan.

The product of their ages is 110.

We can write an equation:

x×(x+1)=110

x²+x=110 (Distribute x)

x²+x-110=0 (Move 110 to the other side)

You can solve this by the quadratic equation, by factoring or by completing the square

I'll solve it by the quadratic equation:

We must first find the coefficients a, b and c, and then plug it into the formula.

\(x = \frac{ - 1 + - \sqrt{ {1}^{2} - 4 \times 1 \times - 110} }{2 \times 1} \\ x = \frac{ - 1 + - \sqrt{1 + 440} }{2} \\ x = \frac{ - 1 + - 21}{2} \)

Since we have a ± symbol, we get 2 real solutions, x1 and x2.

x=-1±21/2

x1=-1+21/2

x1=20/2

x1=10

x2=-1-21/2

x2=-22/2

x2=-11

Since their age can't be negative, x2 can't be a solution, so Dylan's age must be 10, and Genesis' age must be 11.

Hope this helps, and let me know if you need help with another method to solve this problem!

Answer:

yes because every time x changes y changes the same amount

Step-by-step explanation:

As given that Material A has a higher thermal conductivity than Material B, the material that will transfer energy by conduction faster is the Material A because it is a good thermal conductor.

A thermal conductivity means the rate at which heat is transferred by conduction through a unit of a material when a temperature gradient exits perpendicular to the area.

By having a high thermal conductivity means that the material can effectively transfer heat and readily take up heat from their environment. An example of these materials are copper and aluminum.

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Answer: 140

Step-by-step explanation:

20+10+10+50+35+15

50+20+35+10+15=130

           -

Answer:

perimeter = 12 miles

area = 6 square miles

Step-by-step explanation:

Since it makes a right triangle, use the Pythagorean Formula.

3^2+4^2=c^2

9+16=c^2

25=c^2

5=c, so the hypotenuse of the right triangle is 5.

Perimeter = 3+4+5 = 12 miles

area = 1/2bh (1/2 base times height)

=1/2x3x4

=6

Area = 6 square miles

Answer:

I think its C

Step-by-step explanation:

a) The sum of the measures of the interior angles of the regular nonagon is given by S₉ = 1260°

b) The measure of each interior angle of the regular nonagon is a = 140°

c) The measure of each exterior angle of the regular nonagon​ is b = 40°

Given data ,

Sum of the measures of the interior angles of a regular nonagon:

The Polygon Interior Angle Sum Theorem states that the sum of the measures of the interior angles of a polygon with n sides is given by the formula:

Sum of interior angles = (n - 2) * 180°

For a nonagon, which has 9 sides, we can plug in n = 9 into the formula:

Sum of interior angles = (9 - 2) * 180

Sum of interior angles = 7 * 180

Sum of interior angles = 1260°

So, the sum of the measures of the interior angles of a regular nonagon is 1260°

Measure of each interior angle of a regular nonagon:

Since a regular nonagon has 9 sides, we can divide the sum of the interior angles (which we calculated as 1260 degrees) by the number of sides to find the measure of each interior angle:

Measure of each interior angle = Sum of interior angles / Number of sides

Measure of each interior angle = 1260 / 9

Measure of each interior angle = 140°

So, the measure of each interior angle of a regular nonagon is 140°

Measure of each exterior angle of a regular nonagon:

The Polygon Exterior Angle Sum Theorem states that the sum of the measures of the exterior angles of a polygon with n sides is always 360°

Since a regular nonagon has 9 sides, we can divide 360 degrees by the number of sides to find the measure of each exterior angle:

Measure of each exterior angle = 360 / Number of sides

Measure of each exterior angle = 360 / 9

Measure of each exterior angle = 40°

Hence , the measure of each exterior angle of a regular nonagon is 40°

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Applying the angles of intersecting secants theorem, the measure of arc XY is: 32°.

According to the angles of intersecting secants theorem, m∠XZY = 1/2(arc VW - arc XY).

Plug in the values:

39 = 1/2(110 - arc XY)

2(39) = 110 - arc XY

78 = 110 - arc XY

78 - 110 = - arc XY

-32 = - arc XY

Arc XY = 32°

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The graph that represents the given inequalities are attached below.

To find the solution graph of the inequalities y ≤ x² + 1 and x > y²  – 5, you would first graph the equations y = x²  + 1 and x = y²  – 5 separately.

The inequality \(y \leq x^2 + 1\) represents the shaded region below the graph of the equation y = x²  + 1.

This region includes the curve and all the points below it.

The inequality x > y²  – 5 represents the shaded region to the right of the graph of equation x = y²  – 5. This region includes the curve and all the points to the right of it.

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Answer:

wioajfcskaljfcksjhnfkmdesdn,k  obviously

Step-by-step explanation:

Step-by-step explanation:

y + 2 = -2x - 4

y = -2x - 6

hope it helps, not 100% sure if it's right

Step-by-step explanation:

This is of the form

(x-h)^2 + ( y-k)^2 = r^2        so r^2 = 16  means r = 4   units

Answer:

There is one solution. The solution is 2, 18, 19.

Step-by-step explanation:

If you want me to show working tell me in the comments and I'll edit the answer

Answer:

A. (2, 18, -19)

Step-by-step explanation:

To solve:

Z is the most suitable variable to remove first

Add the first equation to the second equation: (this conveniently removes both y and z)

(x+y-z) + (4x-y+z) = 1+9

Simplify

5x = 10

Solve

x = 2

Multiply the second equation by 2 and minus it to the third equation: (Solve for y)

2(4x-y+z) - (x-3y+2z) = 2(9) - (-14)

Simplify

8x-2y+2z-x+3y-2z=18+14

7x+y=32

Substitute using x=2

7(2) + y = 32

y = 32 - 14

y = 18

Now substitute x and y for their respective values into Equation 1

2 + (-18) - z = 1

Simplify

-z = 19

z = -19

So :

x = 2, y = 18 , z = -19

Answer:

18 t-shirts

Step-by-step explanation:

I got the question and this was the correct answer.

Answer: C

18 tshirts

Step-by-step explanation:

Common ratio of the geometric sequence 9/8, 3/4, 1/2,...,8/81 is 2/3 and the number of all terms in this sequence is 7.

As we know that,

Common ratio of any G.P. is a constant number that is multiplied by the previous term to obtain the next term.

So, r= (n+1)th term / nth term

where r ⇒ common ratio

          (n+1)th term⇒ succeeding term

          nth term⇒ preceding term

According to the given question, r = (9/8) / (3/4)

                                                       r = (2/3)

We also know,

Any term of a G.P. [nth term] can be obtained by the formula:

Tₙ= a\(r^{n-1}\)

where, Tₙ= nth term

            a= first term of G.P.

            r=common ratio

Since last term of the G.P. is given to be 8/81; putting this in the above formula will yield us the total number of terms.

   Tₙ= a\(r^{n-1}\)

⇒ (8/81) = (9/8) x (\(2/3^{n-1}\))

⇒ (64/729)= (\(2/3^{n-1}\))

⇒\((2/3)^{6}\) = (\(2/3^{n-1}\))

⇒ n-1 = 6

⇒ n = 7

∴ The total number of terms in G.P. is 7.

Therefore, Common ratio of the sequence 9/8, 3/4, 1/2,...,8/81 is 2/3 and the number of all terms in this sequence is 7.

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The Common Ratio for this geometric sequence is 2/3 and the total number of terms in the sequence is 6.

The given mathematical sequence appears to be a geometric sequence, which is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the Common Ratio. In a geometric sequence, you can find the Common Ratio by dividing any term by the preceding term.  

So in this case, the second term (3/4) divided by the first term (9/8) equals 2/3. Therefore, the Common Ratio for this geometric sequence is 2/3.

To find the total number of terms in this sequence we use the formula for the nth term of a geometric sequence: a*n = a*r^(n-1), where a is the first term, r is the common ratio, and n is the number of terms. This gives us: 8/81 = (9/8)*(2/3)^(n-1). Solving this for n gives us n = 6. Therefore, the total number of terms in this sequence is 6.

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Answer:

the answer

1000000002

The fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

To find the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9, we can set up a proportion.

Let's represent the unknown fraction as x. The ratio can be configured as follows:

x / (1/27) = (3/7) / (5/9)

To solve this proportion, we can cross-multiply:

(x * 5/9) = (3/7) * (1/27)

Simplifying the right side:

(x * 5/9) = 3/189

To eliminate the fraction on the left side, we can multiply both sides by the reciprocal of 5/9, which is 9/5:

(x * 5/9) * (9/5) = (3/189) * (9/5)

Simplifying further:

x = 27/35

Therefore, the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

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Answer: 35

Step-by-step explanation:

1) Substitute the x's and y's

(2)9+(12−(-5))

2) Simplify the numbers inside the equation

18+(12-(-5)

= 18+(17)

= 35

3) Solved.

35

Some expenditures and revenues in personal budget are listed below.

Expenditures:

1. Housing: This includes rent or mortgage payments, property taxes, and utility bills.

2.Transportation: This includes the cost of owning and maintaining a vehicle, as well as any public transportation costs.

3. Food: This includes the cost of groceries and dining out.

4. Insurance: This includes health, car, and homeowner's or renter's insurance.

5. Personal Care: This includes expenses such as clothing, grooming, and personal hygiene products.

6. Entertainment: This includes expenses for hobbies, recreation, and leisure activities.

Revenues:

1. Salary: The money earned from a job or employment.

2. Investment Income: This includes money earned from stocks, bonds, and other investments.

3. Business Income: This includes money earned from a small business or self-employment.

4. Rent Income: This includes money earned from renting out property or other assets.

5. Government Benefits: This includes money received from programs such as Social Security and unemployment benefits.

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The expression which shows how many grams of raisins are in the bowl will be

(0.01x) * 150 + (0.01y) * 250

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

The expression which shows how many grams of raisins are in the bowl will be:

= (x% × 150) + (y% × 250)

= (0.01x) * 150 + (0.01y) * 250

This equation represents the total grams of raisins in the bowl by multiplying the weight of the Oreana's bag by the percentage of raisins in it, and adding that to the product of the weight of Brandon's bag and the percentage of raisins in it. The "0.01" is used to convert the percentages from x and y to decimal form.

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i.  The position vector of X is 2b - a.

ii.  The position vector of Y is (3b + c)/4.

iii.  The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.

i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.

ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.

iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).

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