i’m so confused. Please give letter answer and simple explanation please. Thanks!

The square root of 138 lies between 11 and 12, as 11²=121 and 12²=144.

Number is a mathematical object used to count, measure, and label. Numbers are used in almost every field of mathematics and science, including algebra, calculus, geometry, physics, and computer science. Numbers can also be used to represent data, such as population, income, temperature, or time. In addition, numbers are used to represent abstract concepts, such as love, truth, beauty, and justice.

This is because the square root of a number is the number that, when multiplied by itself, produces the original number. Therefore, to find the square root of 138, we need to identify two consecutive integers such that one of them squared is smaller than 138 and the other squared is larger than 138.

To do this, we can work our way up from the integer closer to 0, in this case 11. 11 squared is 121, which is smaller than 138, so we know that the square root of 138 must be between 11 and a larger integer. Then, if we square 12, we get 144, which is larger than 138. Therefore, we can definitively say that the square root of 138 lies between 11 and 12.

To know more about number click-
https://brainly.com/question/24644930
#SPJ1

The square root of 138 lies between 11 and 12, as 11² is 121 and 12² is 144.

Number is a mathematical object used to count, measure, and label. Numbers are used in almost every field of mathematics and science, including algebra, calculus, geometry, physics, and computer science. Numbers can also be used to represent data, such as population, income, temperature, or time. In addition, numbers are used to represent abstract concepts, such as love, truth, beauty, and justice.

To calculate this, we can divide 138 by 11 and 12, and see which integer is closer to the answer.

138 divided by 11 is 12.545454545454545454545454545455.
138 divided by 12 is 11.5.

Since 11.5 is closer to the answer, the square root of 138 lies between 11 and 12.

To know more about number click-
brainly.com/question/24644930
#SPJ1

The component form of the following vectors is Option A. V = (38.3, 32.1).

To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.

The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.

In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.

The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).

Let's calculate the components:

x = 50 * cos(50°) ≈ 38.3

y = 50 * sin(50°) ≈ 32.1

Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).

Therefore, the correct answer is A. V = (38.3, 32.1).

Know more about the vectors here:
https://brainly.com/question/30854499

#SPJ8

The question is incomplete. Find the full content below:

Find the component form of the following vectors. Round your answers to the tenth.

Magnitude of v = 50, direction angle θ = 50°

A. V = (38.3, 32.1)

B. V = (33.8, 31.2)

C. V = (32.1, 38.3)

D. V = (31.2, 33.8)

The domain is:

D: {-4, 5, 6, 8}

The range is:

R: {-4, 3, 5}

And yes, the relation is a function.

For a relation that maps elements x into elements y (in the form (x, y)), we define the domain as the set of the inputs (values of x) and the range as the set of the outputs (values of y).

Here our relation is defined by: {(6,3), (8,5), (-4,-4), (5,5)}

The domain is the set of the first values of each pair, so we have:

D: {-4, 5, 6, 8}

The range is the set of the second values of each pair:

R: {-4, 3, 5}

Now, is this a function?

Yes, it is a function, because each input is mapped into only one output.

If you want to learn more about domain and range:

https://brainly.com/question/10197594

#SPJ1

Answer:

x = 6

y = 4

Step-by-step explanation:

Apply the angle bisector theorem to solve for x and y respectively.

✔️4/(9 - x) = 8/x

Cross multiply

4*x = 8(9 - x)

4x = 72 - 8x

Add 8x to both sides

4x + 8x = 72

12x = 72

12x/12 = 72/12

x = 6

✔️y/2 = 6/3

Cross multiply

3*y = 6*2

3y = 12

3y/3 = 12/3

y = 4

The equation of the line passing through (2, 3) and (-1, -1). is 3y = 4x + 1

An equation is an expression that shows how two or more numbers and variables are related to each other. Types of equations can either be linear, quadratic or cubic

The standard form of a linear equation is:

Ax + By = C

Where A, B and C are constants

The slope intercept form of a linear function is:

y = mx + c

m is the rate of change and b is the y intercept

The graph passes through (2, 3) and (-1, -1). Hence:

y - 3 = [(-1-3)/(-1-2)] (x - 2)

y - 3 = (4/3)(x - 2)

multiply through by 3:

3y - 9 = 4(x - 2)

3y - 9 = 4x - 8

3y = 4x + 1

The equation of the line is 3y = 4x + 1

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Substituting the equation x = 2y + 3 into the equation y=-3x - 4 will produce the equation y = -3(2y + 3) - 4

Linear equations are equations that have constant average rates of change, slope or gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

x = 2y + 3

y = -3x - 4

Considering the first equation

x = 2y + 3

Considering the second equation

y = -3x - 4

Substitute the first equation in the second equation

y = -3(2y + 3) - 4

Hence, substituting the equation x = 2y + 3 into the equation y=-3x - 4 will produce the equation y = -3(2y + 3) - 4

Read more about system of linear equations at

https://brainly.com/question/14323743

#SPJ1

Answer:

the 1st 2nd and 5th since if there is even one negative in the fraction it makes the whole fraction negative

A repeating decimal is acceptable to use during calculations when you require a certain level of precision

A repeating decimal is acceptable to use during calculations when you require a certain level of precision, but it's important to keep in mind that the result will be an approximation rather than an exact value.

It is commonly used in situations where a rounded value is sufficient and the level of precision doesn't significantly impact the final result.

On the other hand, you should convert a repeating decimal to a fraction for calculations when you need an exact value or when further mathematical operations or comparisons are required.

Converting a repeating decimal to a fraction allows for precise calculations and eliminates any potential rounding errors associated with working with decimal approximations.

Converting a repeating decimal to a fraction involves identifying the repeating pattern and expressing it as a fraction. This allows for exact calculations and maintains the mathematical properties of fractions.

Learn more about repeating decimal at https://brainly.com/question/602727

#SPJ1

The given focal points and the lengths of the minor and major axis of 16 and 20 gives the equation of the ellipse as the option;

\( B. \: \frac{(x + 3)^{2}}{ 100} + \frac{(y - 2)^{2}}{ 64} = 1 \)

The equation of an ellipse is presented as follows;

\( \mathbf{ \frac{(x - h)^{2}}{ {a}^{2} } + \frac{(y - k)^{2}}{ {b}^{2} } } = 1 \)

Where;

(x, y) = Coordinates of the center of the ellipse

a = Semi major axis

b = Semi minor axis

Length of minor axis = 16 units

Length of major axis = 20 units

By observation of the coordinates of the focal point, we have;

y-value of the center of the ellipse, k = 2

x-value of the center, h = (-9 + (3 - (-9))/2 = -3

The equation of the ellipse is therefore;

\( \frac{(x - ( - 3))^{2}}{ {10}^{2} } + \frac{(y - 2)^{2}}{ {8}^{2} } = 1 \)

\( \frac{(x + 3)^{2}}{ 100} + \frac{(y - 2)^{2}}{ 64} = 1 \)

The equation that represents the ellipse is the option;

\( B. \: \frac{(x + 3)^{2}}{ 100} + \frac{(y - 2)^{2}}{ 64} = 1 \)

Learn more about the parts and equation of an ellipse here:

https://brainly.com/question/12308563

#SPJ1

The capacity of the mug is 1.2. The capacity of the mug can be found by using the equation C = (3/4) ÷ (5/8).

It is the maximum amount of output that can be produced in a given period of time. Capacity is usually expressed in terms of units per unit of time, such as gallons per minute or passengers per hour.

In this equation, 3/4 represents the amount of water in the mug, and 5/8 represents the amount the mug is full.

Let the capacity of the mug be x.

Given,

Mug is 5/8 full and contains 3/4 of water

So, 5/8 of the mug is filled with water

Therefore,

5/8 of x = 3/4

(5/8 )x = (3/4)

x = (3/4) × (8/5)

x = (24/20)

x = 1.2

Therefore, the capacity of the mug is 1.2.

For more questions related to gallons

https://brainly.com/question/26007201

#SPJ1

AABC is similar to AGED with a scale factor of 22.5/48, which means that the width of the cart is proportional to the height, with a ratio of 30:22.5.

Since AABC and Matured are comparative, their relating points are equivalent, and their comparing sides are corresponding.

By definition, point An in AABC is equivalent to point An in Matured, as they are both right points. Likewise, point E in Matured is equivalent to point C in AABC, as they are both vertical points. At long last, point B in AABC is equivalent to point D in Matured, as they are both correlative points to point An and E, separately.

To demonstrate the sides are relative, we can utilize the proportions of comparing sides:

Stomach muscle/AG = BC/ED = AC/Promotion

Subbing the given qualities, we get:

Stomach muscle/48 = BC/36 = AC/x

where x is the length of the truck.

Tackling for x, we get:

x = AC * 36/BC

x = 30 * 36/48

x = 22.5 inches

In this way, AABC is like Matured with a scale variable of 22.5/48, and that implies that the width of the truck is relative to the level, with a proportion of 30:22.5.

To learn more about scale factor, refer:

https://brainly.com/question/16789790

#SPJ1

Then it will take approximately 6.3 hours for the culture to grow to 80,000 bacteria

The given formula for the number of bacteria in a culture after t hours is:y = 5000(3)^tWe are required to find the number of hours it will take the culture to grow to 80,000.

This can be done by setting y equal to 80,000 and then solving for t.5000(3)^t = 80,000

Divide both sides by 5000:3^t = 16Now, we need to solve for t by taking the logarithm of both sides.

However, it is easier to use logarithmic properties to simplify the equation first.3^t = 2^4

Raise both sides to the power of (1/log3):log3(3^t) = log3(2^4)t = 4/log3(2)Using a calculator, log3(2) ≈ 0.631, so:t ≈ 4/0.631 ≈ 6.3.

To learn more about : hours

https://brainly.com/question/14628994

#SPJ8

Answer:

The 4 in the hundreds place has a value 10 times as great as the 4 in the tens place.

Step-by-step explanation:

440 = 400 + 40 + 0

the hundreds place is worth 400 here

it is worth 10x the tens place (40 here)

Answer:

2 2/5

Step-by-step explanation:

Keep, Change, Flip!!!

3/4 x 16/5

Use The Butterfly Method!!!

3/1 x 4/5

Multiply!!!

12/5

Simplify!!!

Answer:

2

Step-by-step explanation:

6x² - 9x - 6 = 0

Factor

(6x + 3)(x - 2) = 0

x = {-1/2, 2}

non-negative zero = 2

Answer:

6¼ in

Step-by-step explanation:

¾ = 0.75

25 mi ÷ 3 mi = 8.333

8.333 * 0.75 in = 6.25 in = 6¼ in

The correct option is B, the total volume is 6 gallons, 2 quarts, and 1 pint.

Here we just need to add all the volumes that are in the question, we have.

So there are:

3 gallons.

8 quarts.

13 pints.

Now let's do the changes of units, we know that:

8 pints = 1 gallon

4 quarts = 1 gallon

1 quart = 2 pints

then:

13 pints = 1 gallon  and 5 pints

8 quarts = 2 gallons

5 pints = 2 quarts and 1 pint

Then the total volume is:

6 gallons, 2 quarts, and 1 pint.

LEarn more about adding volume:

https://brainly.com/question/1972490

#SPJ1

The hotel charge in the first city before tax was $6000 and the hotel charge in the second city before tax was $7500.

Let x be the hotel charge before tax in the first city, and y be the hotel charge before tax in the second city. Then we have:
y = x + 1500   (the hotel charge before tax in the second city was $1500 higher than in the first)
0.075x + 0.05y = 825   (the total hotel tax paid for the two cities was $825)
We can use the first equation to solve for y in terms of x:
y = x + 1500
Then we can substitute this expression for y into the second equation:
0.075x + 0.05(x + 1500) = 825
Simplifying this equation, we get:
0.075x + 0.05x + 75 = 825
0.125x = 750
x = 6000
So the hotel charge before tax in the first city was $6000. Using the first equation, we can find the hotel charge before tax in the second city:
y = x + 1500
y = 6000 + 1500
y = 7500
So the hotel charge before tax in the second city was $7500.
Therefore, the answer is: The hotel charge in the first city before tax was $6000 and the hotel charge in the second city before tax was $7500.

For more questions on hotel charge

https://brainly.com/question/25569852

#SPJ11

Answer:

The circumference of a circle is C = 2πr^2 (2nd power) Radius (r) is the distance from the center of the circle to the outside of it. To find radius divide the diameter (d) by 2. The diameter (d) of a circle is the radius (r) multiplied by 2. To find the diameter (d) you need to do C ÷ π.

For example):

Finding diameter - 76/3.14 = 24.19 (d)

Finding radius - 24.19/2 = 12.095 (r)

Answer: 5 (v+1)

Step-by-step explanation:

( i_i )

we know that

If a figure is a scaled copy of another figure, then the figures must be similar

that means-------> the ratio between corresponding sides is proportional, and this ratio is called the scale factor

we have

Original figure A

Verify each figure

Figure B

B is not a scaled co

Answer: There are 5 H's  on the board but I do not see how this is a school question.

Step-by-step explanation:

Answer: according to my calculations, there is exactly 2 H’s

(So easy)

Step-by-step explanation:

The equation of the line that has a slope of 3 and passes through the point (4, –2) is y = 3x -14.

To solve this, use the formula y = mx+ c

Where m is the slope.

           c is the y-intercept.

           x and y are the coordinates

According to the question,

The slope of a line (m) = 3

Value of x (x) = 4

Value of y (y) = -2

Using the formula, y = mx+ c and substituting the values

y = mx +c

-2 = (3 x 4)+  c

-2 = 12+ c

c = -2-12

c = -14

Thus the equation of line becomes, y = 3x -14

To learn more about the equation of a line, refer

https://brainly.com/question/29774095

1. Number of athletes did not own any of the three items = 259 - 228

= 31.

2. Number of athletes own a convertible and a TV but not a store = 44 - 9

= 35.

3. Number of athletes own a convertible or a TV = 110 + 91 - 44

= 157.

4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

5. Number of athletes owned at least one type of item = 259 - 31

= 228

6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71

= 118.

The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.

Total number of athletes surveyed = 259

Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228

Number of athletes who did not own any of the three items = 259 - 228 = 31.

The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.

Number of athletes who own a convertible and a TV = 44

Number of athletes who own all three items = 9

Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35

The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.

Number of athletes who own a convertible or a TV = 110 + 91 - 44

= 157.

The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.

Number of athletes own a convertible only = 110 - 15 - 9 = 86

Number of athletes own a TV only = 91 - 44 - 9 = 38

Number of athletes own a store only = 120 - 15 - 43 - 9 = 53

Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

The number of athletes who owned at least one type of item can use the result from part (1).

Number of athletes who owned at least one type of item = 259 - 31

= 228

The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.

Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159

Number of athletes own a TV or a store not a convertible = 13 + 34 +71

= 118.

For similar questions on athletes

https://brainly.com/question/25631156

#SPJ11

9514 1404 393

Answer:

  x = A/y

Step-by-step explanation:

Divide both sides of the equation by y

  A = xy

  A/y = (xy)/y . . . . . . divide by y

  A/y = x . . . . . . . . . .simplify

  x = A/y . . . . . . . . . write with x on the left