The volume of a rectangular prism is 50 5/8 cubic inches.The dimensions are: Length 5 in, width ? , and Height 2 1/4 . This is 6 th grade math btw

Answer:

96

Step-by-step explanation:

Answer:

96 is right answer but according to your question answer is 95

Answer:

R (1.5, 2.5)

S (2, 0.5)

T (0, 1.5)

U (2.5, 1.5)

V (1, 1)

W (0.5 2)

Step-by-step explanation:

The numbers in between are most like 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4

Answer: if simpliflying the answer is -4+3y

Answer:

-65 feet

Step-by-step explanation:

Answer: -65

Step-by-step explanation:

lets say 0 is the sea level and the swimmer goes down 65 it would be going to the left of zero which would be negatives so you would be going down -65 feet

Answer:

-3

Step-by-step explanation:

Finding the Equation of a Line Given Two Points:

Most people when asked, “What is the equation of a line?”, will answer, “y = mx + b”. This is the

equation of a line in what is called slope-intercept form where “m” is the slope and “b” is the y-

intercept. So, how do you find the equation of a line? There are several different ways that you can find

the equation of a line. I find the equation of a line everytime by following the same three steps:

Step 1: Find the slope of the line.

Step 2: Use the slope to find the y-intercept.

Step 3: Use steps 1 and 2 to write the answer.

I will explain these steps by looking a several examples. Please understand that there are often several

different ways to complete each math problem, but I have found through the years that students are most

successful when the do problems the same way each and every time they attempt the problem. If you

know a different way to find the answer that is great, but I am going to show how to do the problem one

way and use the same technique everytime I see this problem.

Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).

Step 1: Find the slope of the line.

To find the slope of the line passing through these two points we need to use the slope

formula:

( )

( )

So the slope of the slope of the line passing through these two points is 3.

Step 2: Use the slope to find the y-intercept.

Now that we know the slope of the line is 3 we can plug the slope into the equation and

we get:

y = 3x + b

Next choose one of the two point to plug in for the values of x and y. It does not matter

which one of the two points you choose because you should get the same answer in either

case. I generally just choose the first point listed so I don’t have to worry about which

one I should choose.

(–1, –2) → –2 = 3(–1) + b Multiply to simplify the problem.

–2 = –3 + b Solve for b and you will have the y-intercept. b=1

Step 3: Write the answer.

Using the slope of 3 and the y-intercept of 1, the answer is:

y = 3x + 1

Answer:

All solutions

Step-by-step explanation:

Move the y from one side onto the other

-2x+ y= -1

+2x       +2x

y= 2x -1

4x- 2(2x- 1)= 2

4x- 4x+ 2= 2

0= 0

All solutions

Answer:

540°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , then

sum = 180° × 3 = 540°

The inverse of the function (1/2)^x/3

Given function,

y = 3\(log_{1/2}\) x

Now,

y = 3\(log_{1/2}\) x

Let y = f(x)

then,

x = \(f^{-1} (y)\)

Now put \(f^{-1} (y)\) in the place of x,

y = 3\(log_{1/2}\) \(f^{-1} (y)\)

Simplifying,

y/3 = \(log_{1/2} f^{-1} (y)\)

\(f^{-1} (y) = 1/2^{y/3}\\\)

Replace y variable with x,

\(f^{-1} (x)\) = \((1/2)^{x/3}\)

Hence the inverse of function is \((1/2)^{x/3}\) .

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Answer:

3x-4=4

3x=8

x=8/3

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

5^5+4/5^6

5^9/5^6

5^9-6

5^3

125

Step-by-step explanation:

Firstly the powers of 4 adds up

Then net power is formed by (9-6) ie 3

Lastly 5^3 is result which is 125

Answer:

x=109 degrees

Step-by-step explanation:

so 33+39+x=180 degrees because of sum of angles in a triangle theorem. Then now you solve because of algebra

Just do 33+38+X=180, add 38 and 33 to get 71 then subtract that from 180. X=109

Answer:  y = 1/4 x – 4

OR y = x/4 –4

m is the slope. b is the y-intercept.

Without numbers on the x and y axis, it may not be correct. But assuming a normal scale, the slope is positive 1/4 and the y-intercept is -4

Step-by-step explanation: To find the slope, m, determine  "rise over run"

Look for places where the graphed line crosses the grid at intersections. There seems to be such places at (–4,–5), (0,–4) and (4,–3)

The "rise" is the difference in y-values. Here, they increase by 1.

The "run" is the difference in x-values. Here they increase by 4.

So the slope is 1/4. Put that in place of m.

The graphed line crosses the y-axis at –4

That is the y-intercept.  Use -4 in the place of  b

Keep the y and x; substitute the values for m and b we found.

y = 1/4 x – 4

OR

y = x/4 – 4  This makes it clear that x is not in the denominator of the fraction, 1/4, and in calculations with given coordinates, the value of x will be divided by 4.

Answer:

182 cubic feet

Step-by-step explanation:

(7 x 4)/2 to get the area of triangle

than times 13 to get the volume

Using the bootstrap method, the 15-year spot rate (yield to maturity) is calculated as approximately 8.45%. For a 15-year bond with a 10% coupon rate paid semiannually and a face value of $100, the value can be determined by discounting the future cash flows using the spot rate. The value of the bond would be approximately $98.18.

The bootstrap method involves using known spot rates to estimate the unknown spot rate for a specific maturity. Given the zero rates of 8% for a 6-month investment and 8.3% for a 1-year investment, we can calculate the 15-year spot rate. We need to find the semiannual spot rate for a 15-year period. Assuming continuous compounding, we can use the following formula:

Spot rate for 15 years = \([(1 + spot rate for 1 year)^2 * (1 + spot rate for 6 months)^3]^1/15 - 1\)

Plugging in the values, we have \([(1 + 0.083)^2 * (1 + 0.08)^3]^1/15 - 1 = 0.0845\), or approximately 8.45%.

For a 15-year bond with a 10% coupon rate paid semiannually and a face value of $100, we can calculate its value by discounting the future cash flows. Each coupon payment would be $5 (10% of $100) every 6 months for a total of 30 coupon payments. At the end of 15 years, the bondholder will also receive the face value of $100. Discounting these cash flows using the 15-year spot rate of 8.45%, we can calculate the present value and find the value of the bond to be approximately $98.18.

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The direction of the resultant force acting on the object is 37.2° South of West, or 7.99° East of South.

Given,

Three forces act on an object are:

1. F1 = 229 N at an angle of 7 degrees North of East.

2. F2 = 284 N at an angle of 8 degrees West of North.

3. F3 = 132 N at an angle of 31 degrees East of South.

To find: The direction of the resultant force acting on the object.

Solution: Resolve each force into their horizontal and vertical components:

F1 force resolved: Vertical component, F1_y = 229 sin 7°

                                                                        = 27.14 N

Horizontal component, F1_x = 229 cos 7°

                                               = 225.10 N.

F2 force resolved:

Vertical component, F2_y = 284 cos 8°

                                           = 278.47 N

Horizontal component, F2_x = 284 sin 8°

                                                = 39.01 N.

F3 force resolved:

Vertical component, F3_y = 132 sin 31°

                                           = 68.15 N

Horizontal component, F3_x = 132 cos 31°

                                                = 112.16 N

The sum of all the vertical components is:

F_y = F1_y + F2_y - F3_y

      = 27.14 + 278.47 - 68.15

      = 237.46 N.

The sum of all the horizontal components is:

F_x = F1_x - F2_x + F3_x

      = 225.10 - 39.01 + 112.16

      = 298.25 N.

Now, the magnitude of the resultant is:

R² = F_x² + F_y²

   = 298.25² + 237.46²

   = 154.95 × 10⁴.N

   = √(154.95 × 10⁴)N

   = 393.65 N.

The angle the resultant force makes with the horizontal is given by:

θ = tan⁻¹(F_y/F_x)

  = tan⁻¹(237.46/298.25)θ

  = 37.2°.

The angle the resultant force makes with the north is:

φ = tan⁻¹(F2_x/F2_y)

   = tan⁻¹(39.01/278.47)φ

   = 7.99°.

Therefore, the direction of the resultant force acting on the object is 37.2° South of West, or 7.99° East of South.

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Total number of songs downloaded: 48

Songs by his favourite band: 12

A. Divide the number of songs by his favorite band by the total number of songs:

12/48 = 0.25

B. is decimal terminating

Answer:

Step-by-step explanation:

in right trigons with a 45 degree angle, a side length of x will mean the hypotenuse is \(x\sqrt{2}\).

In right trigons with a 30 or 60 degree angle, if the shortest side is of length x, the longer side would be \(x\sqrt{3}\) and the hypotenuse would be 2x.

Answer:

7√2

Step-by-step explanation:

*Note: this is only for the first question

So the picture at the bottom shows the ratio of the sides of a triangle with the angles of 45 degrees, 45 degrees, and 90 degrees.

In the image, they give you the side length that corresponds to a in the picture.

This means that to find the length of the hypotenuse, all you have to do is multiply 7 by the square root of 2

Answer:

Your answer is <, Hope it helps.

The choice which provides the best evidence for the answer to the previous question is Lines 53-57 ("As the . . . consciousness").

Given a passage as shown in the attached images.

Option D is the best answer. The previous question asks what connection the narrator draws between Eppie and Silas. The answer, that as she learns more about the world, he becomes more involved in it. awareness.

Alternatives to D as A, B, and C are incorrect because the quoted lines do not support an answer to the previous question about 's link between Eppie and Silas, instead objecting to Silas locating gold with Eppie's curiosity (options A)  and describing Silas’s habitual behavior when accompanying Eppie outdoors (options B and C).

Hence, the choice which provides the best evidence for the answer to the previous question from the given passage is Lines 53-57 ("As the . . . consciousness").

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Answer:

94

Step-by-step explanation:

The mean score is the sum of the test scores divided by the number of tests.

Let s = sum of the scores of the first 6 tests.

s/6 = 80

s = 80 × 6

s = 480

The sum of the scores of the first 6 tests is 480.

The next test is the 7th test.

Let x = score of the 7th test.

mean score of the first 7 tests = (s + x)/7

(s + x)/7 = 82

(480 + x)/7 = 82

480 + x = 574

x = 94

Answer: 94

The antiderivative of sin(18x) is -(1/18)cos(18x) + C. An antiderivative, also known as an indefinite integral, is a function that, when differentiated, gives a given function as its result.

To evaluate the integral ∫sin(18x) dx, we can use the substitution u = 18x. Then, du/dx = 18, or du = 18 dx. We can solve for dx by dividing both sides by 18, giving us dx = du/18. Substituting this into the integral and using the identity sin(x) = (1/2)cos(2x) - (1/2), we get:

∫sin(18x) dx = (1/18)∫sin(u) du

= -(1/18)cos(u) + C

= -(1/18)cos(18x) + C

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The average temperature on Saturday was 62.6 °F, then the actual temperature will be equal to 17 °C.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given information in the question,

The temperature on Saturday was 62.6 F

Then, the actual temperature will be,

C = 5/9(F -32)

C = 5/9(62.6 - 32)

C = 5/9(30.6)

= 17 °C

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given that:

Solve for x:

Answer:

the answer is 5/3.

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

1:30=5:x

5*30=150

5:150=1:30

a. The domain of a(r) is \(A(r)= 2\pi r^{2} + 16\pi r\).

b. The radius r as a function of a is \(r = -4 +\sqrt{\frac{A}{2\pi } +16\) .

The three-dimensional solid shape of a cylinder is made up of two circular bases joined by a curving surface that is created by folding a rectangle. A cylinder's top and bottom faces are parallel to one another. There are 3 faces, 2 edges, and 0 vertices in all.

In this question, we must apply our understanding of cylinders to determine the function that most accurately captures its value:

\(r = -4 +\sqrt{\frac{A}{2\pi } +16\)

The area domain of A can be represented as:

\(A(r)= 2\pi r^{2} + 16\pi r\)

Let's divide the equation by 2π and write A(r) as just A to get:

\(r^{2} + 8r = \frac{A}{2\pi }\)

So, after we sum on both sides we get,

\(r^{2} +8X +16 =\frac{A}{2\pi } + 16\)

\((r+4)^{2} = \frac{A}{2\pi } +16\)

By taking the square root of the previous equation and then figuring out r, we get:

\(r = -4 +\sqrt{\frac{A}{2\pi } +16\)

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The MATLAB function to calculate the cross products of two vectors is w = cross(v,u). The cross products of  v =  i + 2j + 3k and  u = 3i + 2j + k is -4i + 8j - 4k and the cross product of v =  -2i + j - 3k and  u = i + j + k is 4i - j - 3k.

The MATLAB syntax to calculate the cross product of two vectors or matrices is:

C = cross (A,B)

The arguments A and B should be vectors in length of 3 or matrices with the same dimension.

a) The given vectors are v =  i + 2j + 3k and  u = 3i + 2j + k

Hence, the  MATLAB syntax is:

v = [1 2 3];

u = [3 2 1];

w = cross(v,u)

And the results will be:

w = 1x3

      -4  8  -4

Hence,

v x u = -4i + 8j - 4k

b) a) The given vectors are v =  -2i + j - 3k and  u = i + j + k

Hence, the  MATLAB syntax is:

v = [-2 1 -3];

u = [1 1 1];

w = cross(v,u)

And the results will be:

w = 1x3

      4  -1  -3

Hence,

v x u = 4i - j - 3k

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The value of x would be 5 for the model 2x+4.

Rearrange unknown terms to the left side of the equation,
\(= > 2x-3x = -1 - 4\)

Combine like terms\(= -x = -1-4\)

By calculating the sum or difference : -x = -5

Lets divide both sides of the equation by the resulting coefficient 5
So x = 5

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It is 8%

Hope I helped

Answer:

8%=0.08 because 0.08 is 8/100 and 8% is also 8/100

Step-by-step explanation: