The density of water is 1 gram per cm3. An object floats in water if its density is less than water’s density, and it sinks if its density is greater than water’s. Will a cylindrical log with radius 0.4 meters, height 5 meters, and mass 1,950 kilograms sink or float? Explain your reasoning.

Answer:

Step-by-step explanation:

330 = 21x + 75

The price of a ticket for the trip $x is 12.14 dollars.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the cost of the trip is $330 and the club has already saved $75. the price of a ticket for the trip is $x and 21 people are going on the trip.

Therefore,

The cost of the trip = is $330

The club has already saved = $75.

the price of a ticket for the trip = $x

Thus, the equation becomes as;

330 = 21x + 75

Solving;

21x = 330 - 75

21x = 255

x = 12.14

Hence, the price of a ticket for the trip $x is 12.14 dollars.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

The odd cubic function f(x) = x³ - 4x² + 5 is approaching (x → ∞, y → ∞).

A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity.

The graph's final behavior is determined by a polynomial function's degree and leading coefficient.

The function f(x) = x³ - 4x² + 5 is an odd cubic function that is symmetric about the origin.

As x approaches negative infinity the function f(x) also approaches negative infinity but at a faster rate and as approaches positive infinity the function f(x) also approaches positive infinity at a faster rate.

learn more about end behavior of a polynomial here :

https://brainly.com/question/29255299

#SPJ1

The exact values of the sine, cosine, and tangent of the angle 255° are -1/√2, 1/√2, and -1, respectively.

To find the exact values of the sine, cosine, and tangent of the angle 255°, we can use the identity that relates the trigonometric functions of an angle to the trigonometric functions of its complement.

By expressing 255° as the sum of 300° and -45°, we can determine the exact values of the trigonometric functions for the given angle.

We know that the sine, cosine, and tangent of an angle are periodic functions, repeating every 360 degrees. To find the exact values of the trigonometric functions for 255°, we can express it as the sum of 300° and -45°, where 300° is a multiple of 360°.

Since the sine, cosine, and tangent functions are odd or even functions, we can use the values of the trigonometric functions for 45° to determine the values for -45°.

For 45°:

sin(45°) = cos(45°) = 1/√2

tan(45°) = 1

Since cosine is an even function, cos(-45°) = cos(45°) = 1/√2.

Since sine is an odd function, sin(-45°) = -sin(45°) = -1/√2.

Using the definition of tangent as the ratio of sine to cosine, tan(-45°) = sin(-45°) / cos(-45°) = (-1/√2) / (1/√2) = -1.

Therefore, for the angle 255°:

sin(255°) = -1/√2

cos(255°) = 1/√2

tan(255°) = -1

Learn more about trigonometric functions here:

brainly.com/question/28483432

#SPJ11

The dimensions of the rectangle are width = 7/2 meters and length = 4 meters.

Let's assume that the width of the rectangle is x meters. According to the given information, the length of the rectangle is 3 meters less than double the width, which can be expressed as 2x - 3.

The area of a rectangle is given by the formula: Area = Length × Width. In this case, the area is given as 14 m². Therefore, we can write the equation:

(x)(2x - 3) = 14

Expanding the equation:

2x² - 3x = 14

Rearranging the equation to standard form:

2x² - 3x - 14 = 0

To solve this quadratic equation, we can factor it or use the quadratic formula. In this case, let's use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In our equation, a = 2, b = -3, and c = -14. Plugging in these values into the quadratic formula:

x = (-(-3) ± √((-3)² - 4(2)(-14))) / (2(2))

x = (3 ± √(9 + 112)) / 4

x = (3 ± √121) / 4

x = (3 ± 11) / 4

Simplifying further:

x = (3 + 11) / 4 or x = (3 - 11) / 4

x = 14 / 4 or x = -8 / 4

x = 7/2 or x = -2

Since the width cannot be negative, we discard the negative solution. Therefore, the width of the rectangle is 7/2 meters.

Now, we can substitute the value of x into the expression for the length:

Length = 2x - 3

Length = 2(7/2) - 3

Length = 7 - 3

Length = 4 meters

Thus, the dimensions of the rectangle are width = 7/2 meters and length = 4 meters.

for more such question on rectangle visit

https://brainly.com/question/25292087

#SPJ8

Answer:

fourth answer choice) 5

Step-by-step explanation:

2x + 9 = 4x - 1

9 = 2x - 1

10 = 2x

5 = x

x = 5

I would appreciate Brainliest, but no worries.

The value of x that would make ASUV = ATUN by HL is 4, the correct option is C.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

SUV congruent to TUV

Now,

To solve for x in the equation 2x+9=4x+1, we need to isolate x on one side of the equation.

First, we can simplify both sides by subtracting 2x from each side:

2x+9-2x=4x+1-2x

Simplifying this gives us:

9=2x+1

Next, we can subtract 1 from each side:

9-1=2x+1-1

Simplifying this gives us:

8=2x

Finally, we can divide both sides by 2:

8/2=2x/2

Simplifying this gives us:

4=x

Therefore, by the algebra the answer will be x=4.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ7

From the equation, it can be deduced that the length of the marathon race will be 47905yards.

Let the total length of the marathon race = x

It should be noted that 1 mile = 1760 yards.

Since the length of a marathon race is 26 miles 385 yards, the conversion in years will be:

x = (26 × 1760) + 385

x = 47520 + 385

x = 47905

Learn more about equations on:

https://brainly.com/question/13763238

The output values of the function are (a) 7, (b) -6 and (d) 10

From the question, we have the following parameters that can be used in our computation:

(4,7),

(−3,8),

(11,14),

(12,−6),

(1,10)

The domain is the set of the x values

So, we have the following representation

x = {4, -3, 11, 12, 1}

Remove repeated entries

x = {4, -3, 11, 12, 1}

The range is the set of the output values

So, we have

Range = {7, 8, 14, -6, 10}

Read more about range at

brainly.com/question/27910766

#SPJ1

Answer:

36a-54

Step-by-step explanation:

(4a - 6) (30-26 +5)

(4a - 6) (9)

36a-54

plz mark as brainliest if it helps

Answer:

The answer is the last one or the one on the very bottom because y is above and touching the line so y must be greater than or equal to the slope plus the y-intercept or b. I figured out the slope by using rise over run meaning that you must first go up or down on a coordinate and then go left or right to meet the other coordinate. The y-intercept is just the place where the line touches the y axis and that is on -1. By piecing up these pieces of information one by one you will get D or the last one.

Hope this helped.

Total price paid by Michael for the basket of mangoes is $4.48.

For the calculation of total price, price of sales tax will be added with selling price. Forming the equation -

Total price = 4 + 12%×4

Calculating the percentage of sales tax on Right Hand Side of the equation

Total price = 4 + 12×4/100

Solving the percentage part on Right Hand Side of the equation

Total price = 4 + 0.48

Performing addition on Right Hand Side of the equation

Total price = $4.48

Hence, Michael has to pay $4.48 after addition of sales tax for the basket of mangoes.

Learn more about sales tax -

https://brainly.com/question/9437038

#SPJ4

Learn more

Answer:

Step-by-step explanation:

the shape is a trpizoid with height y

A=(a+b)/2 *h (a=2x=4cm, h=y=4cm, b=2z=12 cm

A=(4+12)/2 * 4

Area=16/2 *4=8*4= 32 cm²

Answer:

24 Centimeters

Step-by-step explanation:

what you want to do is split it up, make two triangles (the sides), and one big square. The square has the dimensions 4 by 4 which has the area of 16. The two triangles have the dimensions 2 by 4, which would be 4 and because there are two, the triangles equal 8. 16+8=24

Hope this helps. :)

Answer:

3

Step-by-step explanation:

add all numbers

Answer:3

Step-by-step explanation:

Answer:

4x+7=27

Step-by-step explanation: The answer you think is correct ! So the 4 times a number is 4x the four being a coefficient and X being the unknown number( variable ) and increase is adding so its +7 and is is just an another word for equal =

Answer:

O up to the left, down to the right

Step-by-step explanation:

The function in your question will do the same thing that

f(x) = -x³ does.

Actually, even simpler, it will have the same end behavior as

f(x) = -x

which is just a line with negative slope, going down from left to right. The way end behavior is described: up to the left and down to the right.

In fact, all the functions with odd power as the biggest exponent will have the same end behavior.

(If the highest exponent is even, it acts like a parabola up+up or down+down.)

As per the unitary method the number of students who attended the play is 280.

The unitary method is a mathematical method used to find the value of a single unit in a given set of values. In this case, we will be using it to find the number of student tickets sold at the local play.

Let's say that "x" represents the number of student tickets sold.

The cost of each student ticket is $6, so the total cost of student tickets is $6x. The total cost of adult tickets is $11y, where "y" represents the number of adult tickets sold. The total ticket sales for the play was $3,000, so we can write the equation:

$6x + $11y = $3,000

We already know the cost of student tickets and adult tickets, so we can substitute those values into the equation:

$6x + $11y = $3,000

$6x = $3,000 - $11y

Now we can divide both sides of the equation by $6 to find the value of x:

x = ($3,000 - $11y) / $6

Since the total ticket sales were $3,000 for 400 tickets, we can use that information to solve for y:

$3,000 = $6x + $11y

$3,000 = $6x + $11(400 - x)

Expanding the equation:

$3,000 = $6x + $4400 - $11x

Combining like terms:

$3,000 = $-5x + $4400

Adding $5x to both sides:

$3,000 + $5x = $4400

Subtracting $3,000 from both sides:

$5x = $4400 - $3,000

$5x = $1400

Dividing both sides by 5:

x = $1400 / $5

x = 280

So, 280 students attended the play.

To know more about unitary method here.

https://brainly.com/question/28276953

#SPJ4

Step-by-step explanation:

The y intercept is when x=0 what is the y value.

When x=0, the y intercept is 1.

b. A gradient is the slope of the line. We need to find the rise and run of the line between two points.

Let use points 0,1 and 1,3

Our y values rise by 2 values and our x values change by 1 value so our slope is

\( \frac{2}{1} = 2\)

Answer:

a. At the y-intercept,x=0

This implies the y-intercept=1

b. Taking points (0,1) and (1,3), the gradient of the line is given by (3-1)/(1-0) =2/1 =2

In doing a quantity takeoff for 100 square feet of single wythe concrete masonry wall, with a thickness of 8", we would need  14.06 8x8x16 block and 10.14 cubic feet mortar.

Number of blocks:

Since each block is 8x8x16 inches, the volume of one block is:

Volume of one block = Length x Width x Height

                                   = 8 inches x 8 inches x 16 inches

                                   = 1024 cubic inches

To calculate the number of blocks needed, we divide the wall area by the area of one block:

Number of blocks = Wall area in square inches / Area of one block

                              = 14,400 square inches / 1024 cubic inches

                              ≈ 14.06

Rounding to the nearest whole number, the correct answer is 14 blocks.

Amount of mortar:

To determine the amount of mortar needed, we multiply the wall area by the joint thickness:

Volume of mortar = Wall area x Joint thickness

                              = 100 square feet x 1 square foot/144 square inches x 8 inches x 3/8 inches

                              ≈ 10.14 cubic feet

To learn more about volume: https://brainly.com/question/463363

#SPJ11

The end of the 48-inch long treadmill is raised approximately 8.36 inches.

The incline of the treadmill is given as 10 degrees.

We can use trigonometry to calculate the height of the end of the treadmill.

The height (h) can be found using the formula h = l * sin(θ), where l is the length of the treadmill and θ is the angle of inclination.

Substitute the values into the formula:

h = 48 inches * sin(10 degrees)

Calculate the sine of 10 degrees using a calculator:

sin(10 degrees) ≈ 0.1736

Multiply the length of the treadmill by the sine of the angle:

h = 48 inches * 0.1736 ≈ 8.36 inches

The end of the 48-inch long treadmill is raised approximately 8.36 inches when set at an incline of 10 degrees.

To know more about angle of inclination, visit

https://brainly.com/question/31329503

#SPJ11

The two numbers are 4000 and 7000

The estimated sum and difference are 11000 and 3000 respectively

According to the question, the addition of the two numbers should be 11000, and the difference should be 3000.

Let the first number be represented as x

Let the second number be represented as y

The sum of the two numbers is 11000.

Mathematically,

x + y = 11000..................(1)

The difference of the two numbers is 3000.

Mathematically,

x - y = 3000................(2)

Subtract equation (2) from equation (1), the resulting equation will be:

2y = 8000

y = 8000/2

y = 4000

Substitute the value of y into (1)

x + 4000 = 11000

x = 11000 - 4000

x = 7000

The two numbers are 4000 and 7000

Answer: ~1256.64

Step-by-step explanation:

The equation for the surface area of a sphere is 4πr². So you would substitute 10 in for r which would then be 4π10². That will get you 1256.63706 but rounded it would be approximately 1256.64.

Answer: \(\text{400}\pi \ \text{square inches}\)

Step-by-step explanation:

Given: The radius of the sphere = 10 in.

The formula to calculate the surface area of the sphere is given by:

\(\text{Surface Area}=4\pi r^2\), where r is the radius of the sphere.

For r = 10 in. we have

\(\text{Surface Area of the sphere}=4\pi (10)^2\)

\(\implies \text{Surface Area of sphere}=4\pi (100)\)

\(\implies \text{Surface Area of the sphere}=\text{400}\pi \ \text{square inches}\)

For the given polynomial 5a²b-13ab+7a³-4b, the descending order is 7a³+5a²b-13ab-4b.

Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer. For example, 3x+2x-5 is a polynomial. Polynomials are introduced. This video defines words such as degree, standard form, monomial, binomial, and trinomial. A polynomial is an expression made up of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division (No division operation by a variable).

Here,

The given polynomial is,

=5a²b-13ab+7a³-4b

The descending order,

=7a³+5a²b-13ab-4b

The descending order of polynomial is 7a³+5a²b-13ab-4b for the given polynomial 5a²b-13ab+7a³-4b.

To know more about polynomial,

https://brainly.com/question/11536910

#SPJ4

Answer:

Number 2

Step-by-step explanation:

I can explain if needed to, since you said asap ill tell u the answer rq

The sampling method in which every nth member of the population is chosen to be a part of the process is known as systematic sampling. The value of n is calculated by dividing the total population by the sample size. It is a statistical method of selecting elements from a population.

Systematic sampling is one of the probability sampling techniques in which a sample is selected from a larger population. It is a form of non-random sampling that allows researchers to establish an ordered, systematic way of selecting subjects from a population.Systematic sampling is often used when there is a large population and a need for simplicity in selecting a sample. This method is advantageous in terms of its ease of implementation and efficient sampling.

A disadvantage of this method is the possibility of a skewed sample if the periodicity of the population is not taken into account.A systematic sample can be obtained by arranging the population elements in a particular order, for instance, alphabetical or chronological order, and then selecting every kth element, where k = population size / sample size. This method of sampling has been proven to be more efficient than other sampling methods when there is a need to cover a large population.

To know more about sampling  visit:

https://brainly.com/question/31890671

#SPJ11

Answer:

25 = 10 + w

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Plz mark as brainliest!!!

An exponential function is a function in the form y = a^x, where a is a positive constant called the base.

The inverse of the exponential function with base a is called the logarithmic function with base a, denoted as y = loga(x).

An exponential function is represented by the equation

y = a^x,

where a is the base, and the inverse of the exponential function is the logarithmic function with base a, denoted as

y = loga(x).

To know more about logarithmic function, visit:

brainly.com/question/31012601

#SPJ11

Answer:

= − 3

Step-by-step explanation:

− 4 ( 1 0 + 3 ) − ( + 8 ) = − 9

put it in the desmos calculator it should help.

Answer:

d=7

Step-by-step explanation:

The flux of the vector field F through the portion of the plane 3x + 2y + z = 6 in the first octant with the downward orientation cannot be determined due to the lack of a finite area on the given portion of the plane in the x-y plane.

To compute the flux of the vector field F = (xy, 3yz, 2zx) through the portion of the plane 3x + 2y + z = 6 in the first octant with the downward orientation, we need to evaluate the surface integral of the vector field over the given portion of the plane.

First, we need to parameterize the surface that lies on the plane. Since the equation of the plane is given as 3x + 2y + z = 6, we can express z in terms of x and y as z = 6 - 3x - 2y.

Next, we need to determine the bounds for the variables x and y. Since we are considering the portion of the plane in the first octant, we need to find the values of x and y that satisfy the conditions x ≥ 0, y ≥ 0, and 3x + 2y + z ≤ 6.

Substituting the expression for z in the inequality, we have 3x + 2y + 6 - 3x - 2y ≤ 6, which simplifies to 0 ≤ 0. This condition is always satisfied and does not provide any useful bounds.

Therefore, the portion of the plane in the first octant does not have any boundaries in the x-y plane that define a finite area. As a result, the surface integral and, consequently, the flux of the vector field through this portion of the plane cannot be calculated.

Learn more about flux at

https://brainly.com/question/29740966

#SPJ4