Which fractions have the same value as 2 over 3 ? Choose the THREE fractions that are correct.

Answer:

it will take him 24 months to save the guitar

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) 0.9 x 2 x π = 1.8π ft

2) 1.6π ft

3) 0.1 x 2 x π  = 0.2π yd

4) 0.6π ft

Answer:

sin 60 = √3/2

means perpendicular (p)= √3

and

base (h)=2

find base(b)

using pythagoras theorem

h²=p²+b²

than base (b) will be 1

now

cos 60 =b/h

=1/2

Answer:

cos 60° = 1/2

SohCahToa

sin 60° = opposite / hypotenuse

sin 60° = √3 / 2

The bottom side = √3, the hypotenuse = 2

To find the right side's value, you use Pythagorean's Theorem

cos 60° = adjacent/hypotenuse

cos 60° = 1 / 2

C) The width of the rubber bladder should equal to 40 percent  of the arm circumference.

so option C is correct answer of this question.

According to American Heart Association Recommendations (AHA) for Physical Activity in Adults and Kids.

The ideal length and width of a bladder are given below:-

1.The length of the ideal bladder is greater than or equal to 80 percent of the circumference of the arm of the patient .

2.The width of the ideal bladder is  greater than or equal to 40 percent of the circumference of the arm of the patient .

Here we are assuming arm as a cylinder having some radius r . so the arm must have some circumference .

so in the given conditon constraint on width satisfies the given conditon which is the case of 40% of the arm circumference.

and hence according to AHA guidelines only option C is correct.

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Answer:

Step-by-step explanation:

are valid as opposite angles, therefore equal, we solve with an equation

4x + 18 = 7x - 21

18 + 21 = 7x - 4x

39 = 3x

x = 39 : 3

x = 13

----------------------

check

4 x 13 + 18 = 7 x 13 - 21

70 = 70

the answer is good

x = 13

Answer:

$10.50

Step-by-step explanation:

Multiply $3 by 4 since it's 4 pounds nd each pound cost $3. When u do that, u get $12, but u gotta subtract $1.50 off the final cost, which is $10.50.

Ion get the second part.

Answer:

r < 6

Step-by-step explanation:

\( \implies \dfrac{1}{2}r + 3 < 6\)

\( \implies \dfrac{r}{2} < 6 - 3\)

\( \implies \dfrac{r}{2} < 3\)

\( \implies r < 3 \: \cdot \: 2\)

\( \implies \underline{ r < 6}\)

Answer:

see explanation

Step-by-step explanation:

The 2 angles are adjacent and supplementary, thus

2x + x + 84 = 180 , that is

3x + 84 = 180 ← required equation

Subtract 84 from both sides

3x = 96 ( divide both sides by 3 )

x = 32

Thus

∠ 1 = 2x = 2(32) = 64°

∠ 2 = x + 84 = 32 + 84 = 116°

The amount that Wyatt’s effective interest rate is greater than his nominal interest rate is given by: Option D: 0.71% points

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

\(CI = P(1 +\dfrac{R}{100})^T - P\)

The final amount becomes:

\(A = CI + P\\A = P(1 +\dfrac{R}{100})^T\)

It is provided that:

Nominal interest rate = 13.62% compounding quarterly.

usually, interest rates are given in annual terms.

Converting 13.62 in quarterly terms, we get:

R = \(13.62/4 = 3.405\%\) (as there are 4 quarters annually)

This rate is quarterly and is compounding quarterly.

Since these two things matched (the rate is in quarter version and so as the compounding of interest), we can take:

Unit of time = quarter of an year

Getting effective interest means interest that the principal grows by in one year.

One year = 4 quarters = 4 times unit of time.

Thus, T = 4

Thus, compound interest would be:

\(CI = P(1 +\dfrac{R}{100})^T - P = P( (1+3.405/100)^4 - 1) \approx P(0.1433)\)

Taking its percent compared to principal amount P:

\(\dfrac{P(0.1433)}{P} \times 100 = 14.33\%\)

Thus, the effective interest rate is 14.33%

The difference between effective and nominal interest rate is:

14.33 - 13.62 = 0.71%

Thus, the amount that Wyatt’s effective interest rate is greater than his nominal interest rate is given by: Option D: 0.71% points

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Answer:

option D

Step-by-step explanation:

Answer:

Given that,

The measure of the rectangular lot is 7x by 7x

The measure of the sports field is 5x by 5x

Area of the lot left over is Area of the rectanglar lot-Area of the sports field

we get,

Area of the rectangle lot

Area of the sports field is,

Area of the lot left over to build bleachers is

Area of the lot left over to build bleachers is 24x^2 square units.

Answer:

The set of all positive integers equal to or greater than 1

Step-by-step explanation:

n can take on the integer values 1 ... ∞

The formula for the nth term is a(n) = a(1) + 2(n - 1)

First term:  n = 1.  Then a(1) = 3 + 2(0) = 3 (as expected).

5th term:  n = 5.  Then a(5) = 3 + 2(5 - 1) = 3 + 8 = 11

...

and so on.

Answer:

C

Step-by-step explanation:

a point (x, y) reflected over y-axis becomes ( -x, y)

(2, -4) becomes (-2, -4)

both sets of residuals represent the unexplained variation in the response variable, and can be used to assess the goodness of fit of the model and identify any potential issues or problems with the model.

residuals from the empty model and the complex model are similar in that they both represent the variation in the response variable that is not explained by the predictor variables in the model.

In the case of the empty model, the residuals are simply the differences between the observed response values and the overall mean of the response variable. These residuals represent the total variation in the response variable before any predictor variables are included in the model.

In the case of the complex model, the residuals are the differences between the observed response values and the predicted values from the model. These residuals represent the remaining variation in the response variable that is not accounted for by the predictor variables in the model.
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Answer:

-0.0238095238

Step-by-step explanation:

Answer:

200% = 2.00    150% = 1.50    15% = 0.15

Step-by-step explanation:

Answer:

There are 4 terms when simplified. :)

Step-by-step explanation:

Add like terms.

a2-ab+10b-1

8b+2b=10b

Answer:

15-inch times 11 =165

Step-by-step explanation:

The greatest number of 15-inch pieces the carpenter can cut from 6 of these wood boards is 52.

Given that, cut 15-inch pieces of wood from a board of wood that is 11 feet in length.

We need to find the greatest number of 15-inch pieces the carpenter can cut from 6 of these wood boards.

Converting an inch length measurement to feet is as simple as dividing the number of inches by 12 because there are 12 inches in a foot.

Now, 11×6×12/15=52.8

Therefore, the greatest number of 15-inch pieces the carpenter can cut from 6 of these wood boards is 52.

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Answer:

.25 cents per orange

Step-by-step explanation:

2.00/8=.25

Answer:

it is less tha 1

Step-by-step explanation:

Answer:

Less than 1

Step-by-step explanation:

2/3 divided by 5 is 2/15 which is less than 1

Answer:

Hey there!

y=3/4x shows that the y-value is always 3/4 of the x-value.

Thus, if x is 4, y is 3. It always fits the 4:3 ratio.

The ordered pairs that satisfy this equation are: 28:21 and 16:12

Let me know if this helps :)

Answer:

Step-by-step explanation:

You want the next three terms of sequences in which the first few terms are given.

It is often useful to look at the differences of terms in a given sequence. If these "first differences" are constant, they can be used to predict the next terms.

If the "first differences" are not constant, finding the difference of those can give additional clues as to the nature of the sequence. If these "second differences" are constant, the sequence is quadratic, and these second differences can be used to predict additional terms.

If the differences have a common ratio, then the sequence is exponential.

If the differences are not constant, and the sequence is not exponential, then there is no simple way to predict additional terms. They can be anything you like, and a function can be written that would predict your chosen values.

The common difference is 9-2 = 7. Additional terms will each be 7 more than the previous term. The next three terms are 37, 44, 51.

The common difference is 44-49 = -5. Each term is 5 less than the previous one. The next three terms are 24, 19, 14.

We recognize these as the sequence of square numbers: 1², 2², 3², 4², 5². The next three terms are 6², 7², 8², or 36, 49, 64.

The common difference is -3-(-5) = 2. Each term is 2 more than the previous one. The next three terms are 3, 5, 7.

The first differences are 2, 2, 2, 4. These are not constant, nor are the second differences constant. Nor is there a common ratio. The next term cannot be predicted, so can be anything you want it to be.

__

Additional comment

The process of writing a function that gives the values of a particular sequence is called "interpolation." An interpolation function can be written for any arbitrary sequence. For an arithmetic sequence, the function is linear. For a quadratic sequence, quadratic. For an exponential sequence, the usual interpolating methods may or may not give an exponential function, depending on which one(s) you use.

The point is that any sequence can be described by some function. The next three terms are not "set in stone." (Usually, we want the simplest function that will describe the sequence.)

Sequence 5 would be an arithmetic sequence with a common difference of 2 if the last term shown were 6 instead of 8. No exponential sequence will ever contain a value of 0. The sequence cannot be exponential, even though the last three terms make it appear to have a common ratio of 2.

The expression 9x+8 x 10x x 8x+10 when simplified is 9x + 640x² + 10

To simplify this expression, we can first distribute the terms inside the parentheses:

9x + 8 * 10x * 8x + 10

i.e.

9x + (8 * 10x * 8x) + 10

Next, we can simplify the products

9x + (640x²) + 10

Then, we can use the distributive property again:

9x + 640x² + 10

Finally, we can combine like terms:

9x + 640x² + 10

Therefore, the simplified expression is 640x² + 809x.

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Answer:

In the case presented, the range is the difference between the maximum value and the minimum value of the data. The range describes the breadth of the data and how much they vary from the minimum value to the maximum value. Therefore, the range indicates the dispersion of the data.

The statement indicates that the range is 5, which means that the most flights made by students is 5. Since the data has a narrow dispersion, we can conclude that most students have taken a similar number of flights, implying that most students have flown an amount close to the maximum number observed.

Therefore, the option that best describes the dispersion of the data is: "The data has a range of 5, which is a narrow dispersion. This means that most students have taken a similar number of flights."

Step-by-step explanation:

We will have the following:

First, we remember that suplementary angles add to 180°; knowing this, we can see that the supplementary angle for

We also remember that the sum of internal angles of a triangle also add to 180°, so the following is true:

So:

Now, we solve for x, that is:

Now, knowing this we will find the measure of angle ABC, that is:

Answer:

hi the answer is C.71 inches, have a good day :)

Answer:

Exact: 2√58 ft

Approximate: 15.2 ft

Step-by-step explanation:

The ladder, the ground, and the wall form a right triangle.

a² + b² = c²

6² + 14² = c²

c² = 232

c = √232

c = √(4 × 58)

c = 2√58 = 15.2