The sum of three numbers is 25.The second is 3 times the first.The third is 4 more than the second. What are the numbers

Answer:

Geometric

Step-by-step explanation:

That is a geometric sequence, because the each number divided into 3. As we know if the pattern are multiply or divided it will be geometric, if it is sum or subtract will be arithmetic.

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The given sequence is geometric. The common ratio of the geometric sequence is 1/3.

A geometric progression (G.P.) is a sort of sequence in which each successive term is obtained by multiplying the prior term by a set number known as a common ratio.

This progression is also known as a pattern-following geometric sequence of integers.

The given sequence in the problem is;

81, 27, 9, 3, 1, …

Due to the fact that each number is split into three, that sequence is geometric. The pattern will be geometric if it is multiplied or divided, and arithmetic if it is the result of addition or subtraction.

The common ratio of the sequence is found as;

\(\rm r = \frac{27}{81} =\frac{9}{27} =\frac{3}{9} =\frac{1}{3} =\frac{1}{3}\)

The common ratio of successive terms is equal.

Hence, the given sequence is geometric.

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Answer:4.2

Step-by-step explanation:

The z-score of -1.6 is less than 2.00 but greater than -2.00.

Hence, we can conclude that the value is not unusual.

The correct answer is: -1.6; not unusual.

When we are given a test score of 48.4 on a test that has a mean of 66 and a standard deviation of 11,

we need to find the corresponding z-score and determine whether the value is unusual or not.

The formula for calculating z-score is:

z = (x - μ) / σ

Where, z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.

Substituting the given values in the formula, we get: z = (48.4 - 66) / 11z = -1.6

Therefore, the z-score corresponding to the given value is -1.6.

Now, we need to determine whether this value is unusual or not.

A score is considered unusual if its z-score is less than -2.00 or greater than 2.00.

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Answer

First of, let us explain what congruent and supplementary mean.

Congruent angles are equal to each other.

Supplementary angles add up to give 180 degrees.

A) Alternate interior angles are congruent. Examples of alternate interior angles from the image include

- angles 3 and 6.

- angles 4 and 5.

B) Alternate exterior angles are congruent. Examples of alternate exterior angles from this image include

- angles 1 and 8.

- angles 2 and 7.

C) Same-side interior angles are supplemetary. Examples of same-side interior angles from the image include

- angles 3 and 5.

- angles 4 and 6.

D) Same-side corresponding angles are also supplementary. Examples of same-side exterior angles from the image include

- angles 1 and 7.

- angles 2 and 8.

E) Corresponding angles for two parallel lines are congruent. Examples of corresponding angles from the image include

- angles 1 and 5.

- angles 2 and 6.

- angles 3 and 7.

- angles 4 and 8.

Hope this Helps!!!

Answer:

1\(\frac{4}{15}\) of straw

Step-by-step explanation:

The total amount of straw and hay together is, \(4 \frac{2}{3}\).

and the total amount of hay alone is, \(3\frac{2}{5}\)

All you need to do is subtract the hay from the total, which gives you, the answer above.

Answer:

1 2/21

Step-by-step explanation:

We start out with:

3/7 + 2/3

In order to add them together, they must have an equal denominator. An easy way to find an equal denominator is the cross method. We divide 7 by 3 and 3 by 7, giving us a denominator of 21:

3/21 + 2/21

But what about the numerators? You do the same thing as before (multiplying by the other's denominator).  Now we have:

9/21 + 14/21

We add both together (the denominator stays the same) and we get 23. 23/21 is correct but not in simplest form. We remove 21 from the numerator (because it is a whole) and finally get:

1 2/21!

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Answer:

15x−9

Step-by-step explanation:

Answer:

Answer:

The Prime Factorization is:

2 x 5 x 11

Step-by-step explanation:

Answer:

Honestly you can just look these up

Step-by-step explanation:

Like for the first one, 53 cups in gallons is 3.3125, round that to 3.31, mixed number fraction would be 3 31/100

Answer:

c the answer is c

Step-by-step explanation:

Answer:

C

I hope this helps

Answer:

24

Step-by-step explanation:

eight multiplied by three equals 24

Answer:

13 hours

Step-by-step explanation:

8:00 plus 4 is twelve ( 12 o'clock )

then you have 9hrs left.

( 4+9=13 )

Answer:

Photography has the lowest mean.

Step-by-step explanation:

     Photography    Film Editing     Abstract Art

         30                         11                          18

         20                        29                         22

          12                         27                         21

         22                        29                          24

Total  84                        96                          85

Mean = Sum of all / 4

Photography mean = 84 / 4 = 21

Film Editing mean = 96 /4 = 24

Abstract art mean = 85 / 4 = 21.25

So,

Photography has the lowest mean.

The ordered pair we are looking for is the values of the variables \(x\) and \(y\), or \((x, y).\)  We are given that \(x=2\), and that the formula to evaluate \(y\) is \(y = 5^x\). Note we are given \(x\) so we can evaluate \(y\) as \(y = 5^2 = 25\). Now, we have both the values of \(x\) and \(y\), so our ordered pair is thus \((x,y) = (2,25).\)

Answer:

OKay I am decent at geomentry and am in 7th grade but i can't help u if i have no clue whats ur problem? btw i suck at math in general but geomentry i can help with

Step-by-step explanation:

The statement that most accurately describes patterns of Irish immigration in the mid-19th century is: its peaked in approximately 1851. The Option D is correct.

Irish immigration to the United States in the mid-19th century was characterized by several factors:

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\(\\ \sf\longmapsto TSA=6s^2\)

\(\\ \sf\longmapsto TSA=6(5)^2\)

\(\\ \sf\longmapsto TSA=6(25)\)

\(\\ \sf\longmapsto TSA=150units^2\)

To find the surface area of the cube,use the formula: surface area=\( {6s}^{2} \)

\( = > {6s}^{2} \)

\( = > 6(5) {}^{2} \)

\( = > 6(25) \)

\( = > 150\)

The measure of the angle B is 32. 0 degrees

To solve the given triangle, we need to know the different trigonometric identities and their ratios.

We have that these identities are;

From the information given, we have that;

Opposite side of angle B = 5

Hypotenuse side = 9.43

Using the sine identity, we get that;

sin B = 5/9.43

Divide the values, we have;

sin B= 0.5302

Find the inverse value of the sine identity and then substitute

B = 32. 0 degrees

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Answer:

C is the correct answer to your question

The area of a circle is calculated using the formula:

A = πr^2

Where A is the area and r is the radius of the circle.

In this case, the radius is given as 7. Substituting the value into the formula:

A = π(7)^2

A = π(49)

A = 49π

The exact area of the circle is 49π square units.

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Answer:

Step-by-step explanation:

To create a rectangle, we need to find a point that is the same distance from (-29, 11) as it is from (-4, -2).

First, let's find the midpoint of the line segment connecting (-29, 11) and (-4, -2):

Midpoint = ((-29 + (-4))/2, (11 + (-2))/2) = (-33/2, 9/2)

This midpoint is equidistant from (-29, 11) and (-4, -2). To find the fourth vertex of the rectangle, we need to find a point that is also equidistant from (-29, -2) and the midpoint.

The x-coordinate of this point must be -29, so we only need to find the y-coordinate:

distance from (-29, -2) to midpoint = distance from (x, y) to midpoint

sqrt[(-33/2 - (-29))^2 + (y - 9/2)^2] = sqrt[(-4 - (-29))^2 + (-2 - 11)^2]

Simplifying the equation, we get:

sqrt[(5/2)^2 + (y - 9/2)^2] = sqrt[25 + 169]

(5/2)^2 + (y - 9/2)^2 = 194

Simplifying further, we get:

(y - 9/2)^2 = 179/4

y - 9/2 = +/- sqrt(179)/2

y = 9/2 +/- sqrt(179)/2

Since (-29, -2) has a lower y-coordinate than the midpoint (-33/2, 9/2), we must choose the negative square root:

y = 9/2 - sqrt(179)/2

Therefore, the fourth vertex needed to create a rectangle is (-29, 2).

So the answer is (B) (-29, 2).

Answer:D is the answer :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The ordered pair (-4 1/2, -1) can be represented by point P, which is located on a two-dimensional Cartesian coordinate system.

The Cartesian coordinate system is a system of two-dimensional coordinates used to identify the position of a point, line, or shape. It is based on a two-dimensional grid that is composed of two perpendicular lines, called the x-axis and the y-axis. The origin (0,0) is the point where the two axes intersect.

The ordered pair contains two numbers, which are the x-coordinate and the y-coordinate respectively. The x-coordinate of the point P is -4 1/2 and the y-coordinate is -1. This means the point P is located 4 1/2 units to the left of the y-axis and 1 unit below the x-axis.

The ordered pair (-4 1/2, -1) can be represented by the point P which is located 4 1/2 units to the left of the y-axis and 1 unit below the x-axis.

The x-coordinate of the point P is -4 1/2 and the y-coordinate is -1. This means the point P is located 4 1/2 units to the left of the y-axis and 1 unit below the x-axis.

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The values of x for the tangent segments to the circles are: (25). x = 2 and (26). x = 4

A theorem of tangents to a circle states that if from one exterior point, two tangents are drawn to a circle then they have equal tangent segments.

(25). 2x - 1 = x + 1 {equal tangent segments}

2x - x = 1 + 1 {collect like terms}

x = 2

(26). 2x - 4 = x {equal tangent segments}

2x - x = 4 {collect like terms}

x = 4

Therefore, the values of x for the tangent segments to the circles are: (25). x = 2 and (26). x = 4

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Answer: 9

Step-by-step explanation:

2x+3

2(3)+3

6+3

9

We know the value of x. We just have to substitute 3 in x in the equation.

2(3) + 3

6 + 3

9

9 is your answer. I hope this helps! Let me know if you need more help!

Answer:

Domain: 0, 1, 2, 3, 4,

Range: 1, 2, 3, 4, 5,

Step-by-step explanation:

Based on the graph the domain of the function is 0, 1, 2, 3, 4, and the range is 1, 2, 3, 4, 5,  therefore, the answer is:

Answer:

  see attached

Step-by-step explanation:

You want the graph of the circle defined by the equation ...

  (x-2)^2 + (y-7)^2 = 4.

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

Comparing this to the given equation, we see ...

  h = 2, k = 7, r² = 4

Then r = √4 = 2.

The circle will have its center at (2, 7) and will have a radius of 2. It is shown in the attached graph.

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