A block of cork, a block of wood, and a block of metal are all placed into 3
separate beakers of water. The block of cork floats on top of the water,
while the block of wood floats near the surface of the water, and the block
of metal sinks to the bottom. Determine if each block is less dense, about
the same density, or more dense than the water.

The expression (x - 8) is not the factor of the polynomial x⁶ - 64x⁴ + x² - 7x - 51.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The polynomial is given below.

⇒ x⁶ - 64x⁴ + x² - 7x - 51

If the value of the polynomial is zero at x = 8. Then (x - 8) will be the factor of the polynomial.

At x = 8, the value of the polynomial is given as,

⇒ (8)⁶ - 64(8)⁴ + (8)² - 7(8) - 51

⇒ 262,144 - 262,141 + 64 - 56 - 51

⇒ - 43

The expression (x - 8) is not the factor of the polynomial x⁶ - 64x⁴ + x² - 7x - 51.

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Answer:

y = -x – 2

Step-by-step explanation:

Slope is ΔY/ΔX =  -1

plug this into the equation:

1=-(-3) +b

= -2=b

so we get; y = -x – 2

Answer: y = -x - 2

Step-by-step explanation:

     I will be writing this equation in slope-intercept form.

     First, we will find our m value, also known as the slope.

        \(\displaystyle \frac{\text{change in y}}{\text{change in x}} =\frac{1--4}{-3-2} =\frac{5}{-5}=-1\)

     Now, we will find our b value, or the y-intercept.

-> The line intercepts the y-axis at (0, -2), so our y-intercept is -2.

     Lastly, we will write our equation.

y = mx + b

y = -x - 2

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Answer:

A, C

Step-by-step explanation:

Chow,...!

Answer: Therefore, the y value rounded to the nearest tenth is 47.9.

Step-by-step explanation:

To find the value of y, you can use the trigonometric function tangent (tan). First, find the angle between the y-side and the hypotenuse by subtracting the given grades from 180°:

180° - 42° - 85° = 53°

Then, use this angle and the opposite side (31) to solve for y:

tan(53°) = y/31

y = 31 * tan(53°)

y ≈ 47.9

Therefore, the value of y rounded to the nearest tenth is 47.9.

Answer:

My favorite character is Naruto from dragon x ball

Step-by-step explanation:

Good enough XD

Answer:

my favorite chararcter is NaRuTo UcHiHa

Step-by-step explanation:

The number of students in each bus is 21

Given data

Total number of students on the trip = 172

25 students traveled in cars

7 buses were filled

let the number students on each bus be x

number of students on the bus is gotten by

172 - 25 = 147

so 147 students travelled by bus and the total number of buses is 7.

to get the number of students in each bus we solve as follows

147 / 7 = 21

Hence each bus contains 21 students.

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Answer:

-5 < x < 5

Step-by-step explanation:

|x| < 5

This can be split into two cases: x < 5 and -x < 5 because |x| could be either x or -x depending on whether x is positive, negative, or 0. Solving the second one we get x > -5 so the answer is -5 < x < 5.

Dr. Brown used a randomized controlled trial (RCT) research design.

A randomized controlled trial (RCT) is a type of scientific experiment in which two or more groups of patients are subjected to various clinical treatments, interventions, or exposures. In an RCT, subjects are randomly allocated to either a treatment group or a control group, and the treatment group receives the new intervention being tested, while the control group receives the standard intervention or placebo.

Therefore, Dr. Brown used a randomized controlled trial (RCT) research design in which participants were randomly assigned to either the treatment condition or a comparison treatment condition, and their symptoms were measured before treatment, during treatment, and now 3-months post-treatment.

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The power series representation for the function f(x) = x sin(4x) can be found as follows:

Firstly, we can find the power series representation of sin(4x) using the formula for the sine function:$

$\sin x = \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)!}x^{2n+1}$$

Substitute 4x for x to obtain:$$\sin 4x

= \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)!}(4x)^{2n+1}

= \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)!}4^{2n+1}x^{2n+1}$$

Multiplying this power series by x gives:

$$x\sin 4x

= \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)!}4^{2n+1}x^{2n+2}$$

Therefore, the power series representation for the function

f(x) = x sin(4x) is:$$f(x)

= x\sin 4x

= \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)!}4^{2n+1}x^{2n+2}$$

Therefore, the power series representation for the function f(x) = x sin(4x) is:$$f(x) = x\sin 4x = \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)!}4^{2n+1}x^{2n+2}$$

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Answer:

32.5cm

Step-by-step explanation:

Using the formula A=h_b*b/2

We get 5*13/2=32.5

If the mean monthly electric bill for 71 residents of the local apartment is $62 , then the best point estimate is $62 .

In the question ,

it is given that ,

the number of residents in the local apartment complex is = 71

the mean electric bill for the 71 residents = $62 ;

we know that the sample mean is itself called as the best point estimate ;

So , best point estimate for mean monthly electric bill for all residents of local apartment complex will be = mean monthly bill for 71 residents of  local apartment complex which is given as $62 .

Therefore , the best point estimate is $62 .

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Answer:39?

Step-by-step explanation:

Answer:

its right

Step-by-step explanation:

you are insine or what ever you know what i mine alright im not smart or dum

Range is R={n^2: n is natural number} U {n(n+1) : n is natural number}

The expression ⌈y⌉⋅⌊y⌋ represents the product of the ceiling and floor functions of y.

To find the range of all possible values of y, we need to consider the possible values of the ceiling and floor functions individually.

1. Ceiling function (⌈y⌉): This function rounds y up to the nearest integer. Since y is greater than 0, the ceiling of y will always be greater than or equal to y.

2. Floor function (⌊y⌋): This function rounds y down to the nearest integer. Again, since y is greater than 0, the floor of y will always be less than or equal to y.

Now, let's consider the product of the ceiling and floor functions, ⌈y⌉⋅⌊y⌋.

The product ⌈y⌉⋅⌊y⌋ will always be greater than or equal to 0 since y > 0 and this can take only integral values.

Therefore, the range of all possible values of y such that ⌈y⌉⋅⌊y⌋ is the set R={n^2: n is natural number} U {n(n+1): n is natural number}

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Answer:

Step-by-step explanation:

As per diagram, the distance AB + BC is same as AD + DC

Since the distance is same for both, the friend will win due to running at greater speed

Answer:

so 20*5=100 and a percent is out of 100

so we just multiply 18*5 which equals

90 so 18/20=90%

we could also figure this out because if we simplify we get

9/10 which is also 90%

Hope This Helps!!!

Answer:

13

Step-by-step explanation:

∠Q ≅ ∠ P ⇒ RP = RQ = 13

The area of each triangle is one-half the area of the rectangle. So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

Answer:

12.5 units²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

Here b = 5 and h = 5 , thus

A = 0.5 × 5 × 5 = 0.5 × 25 = 12.5 units²

Answer:

c. y + 3 = (1/2)(x - 1)

Step-by-step explanation:

Answer:

A. \(y + 1 = (-\frac{1}{2})(x + 3)\)

Step-by-step explanation:

I used a graphing calculator. I prefer Desmos, but you can use whatever you like. I recommend Desmos or GeoGebra.

The value of x for the given expression is found as 2189/3.

The stated expression is-

3x − 2 = 3^7

Obtain the value of 3^7 by solving its power.

3x − 2 = 2187

(3x − 2) + 2  = 2187 + 2

3x − 2 + 2  = 2189

3x  = 2189

3x / 3  = 2189 / 3

x = 2189/3

Thus, the value of x for the given expression is found as 2189/3.

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The correct question is-

Solve 3x − 2 = 3^7 and find the value of x.

Answer:

5184

Step-by-step explanation:

The rectangular horse pasture's largest area, in square feet, can be enclosed in \(80000m^{2}\)

Let the sides of the rectangle-shaped fence be a and b.

We have to use wire for the three sides of the fence.

\(a+b*2=800\)

Area A is given by

\(A=a*b\)

Also, we can write A as a function of b

\(A=A(b)\\=(800-2*b)b=800b-2b^{2}\)

Taking the derivative of A

\(A'=800-4b\\A'=0\\b=200m\)

Then the length of the other side

\(a=800-2*200\\=400m\)

The largest area

\(A=400*200\\=80000m^{2}\)

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Skewed Right I think. I'm not sure but try it

Answer:

C. Skewed Left

Step-by-step explanation:

Because the first 2 age group have minimal runners than the next 3 age groups spikes and the last 4 are very low once again. the spike occurs relavity near the beggining so if graphed it would be skewed left.

The Scale factor was used to enlarge the picture is 7/ 31.5.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.

Given:

A picture is 7 inches wide and 9 inches long.

A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long.

So, scale factor is

= Original dimension / Enlarged dimension

= 9/ 40.5

= 90/ 405

= 10/45

= 2/9

Now, simplifying the scale factor 7/31.5 because it has Nr < Dr.

= 7/ 3.15

= 70/31.5

= 2/9

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The annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.

To determine the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily, we can use the formula:
A = P(1 + r/n)^(nt)
Where:
A = the final amount
P = the principal amount (initial investment)
r = the annual interest rate (6.63%)
n = the number of times interest is compounded per year (365 for daily compounding)
t = the number of years (8)
Plugging in the values, we have:
A = 1200(1 + 0.0663/365)^(365*8)
Calculating this, we get A ≈ $1,968.49.
To find the annual percentage yield, we need to find the interest earned:
Interest = A - P = $1,968.49 - $1200 = $768.49
Now, we can find the annual percentage yield using the formula:
Annual percentage yield = (Interest / P) * 100
Plugging in the values, we have:
Annual percentage yield ≈ ($768.49 / $1200) * 100 ≈ 64.04%
Therefore, the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.

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The coordinates of point P, which is 2/5 of the way from A to B on the directed line segment AB, are approximately (-12/5, 32/5).

To find the point P that is 2/5 of the way from A to B on the directed line segment AB, we can use the following formula:

P = A + (2/5) * (B - A)

Given:

A = (-8, -2)

B = (6, 19)

Let's calculate the coordinates of point P:

P = (-8, -2) + (2/5) * ((6, 19) - (-8, -2))

P = (-8, -2) + (2/5) * (14, 21)

P = (-8, -2) + (28/5, 42/5)

P = (-8 + 28/5, -2 + 42/5)

P = (-40/5 + 28/5, -10/5 + 42/5)

P = (-12/5, 32/5)

Therefore, the coordinates of point P, which is 2/5 of the way from A to B on the directed line segment AB, are approximately (-12/5, 32/5).

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The given equation is 2x-2 = 9, x = 5.5.

An unending, one-dimensional figure with no width is a straight line. It consists of an infinite number of points connected on either side of a point. There is no curvature in a straight line. It might be angled, vertical, or horizontal. Any angle we draw between any two locations along a straight line will always be a 180-degree angle.

A variable is a quantity that could change depending on the circumstances of an experiment or mathematical problem. Typically, a variable is denoted by a single letter. The general symbols for variables most frequently used are the letters x, y, and z.

A linear equation is an equation of a straight line, written in one variable.

(a).The desired equation is,  2x-2 = 9

(b). After solving, We get  x = 5.5

(a). Let us consider, number is x

According to given statements,

First double it,   2x

Now, subtract 2, We get  2x - 2

Since, this is equal to 9.

So that,2x-2=9 is the desired equation.

(b) Now, we have to solve above equation.

   2x-2=9

    x=11/2

    x=5.5

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Answer: you mean, It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism. What is the volume of the rectangular prism? Show your work or justify your

solution?

Answer: The volume of the rectangular prism is 19.25 inches³.

Step-by-step explanation: Hope this help :D