The density of the wood is between 0.35 g/cm^3
The density of a substance can be calculated using the formula:
density = mass / volume
To calculate the volume of the cuboid, we can use the formula:
volume = length x width x height
So, using the measurements provided:
volume = 13.2 cm x 16.0 cm x 21.7 cm = 5541.44 cm^3
To calculate the density of the wood, we divide the mass by the volume:
density = 1970 g / 5541.44 cm^3
We can convert cm^3 to g/cm^3 by converting the volume to g
1cm^3 = 1g/cm^3
density = 1970 g / 5541.44 g/cm^3
density = 0.3555 g/cm^3
However, as the measurements provided have a degree of uncertainty, we should consider bounds to find the range of possible densities.
The lower bound for the length is 13.2 cm - 0.1 cm = 13.1 cm
The upper bound for the length is 13.2 cm + 0.1 cm = 13.3 cm
The lower bound for the width is 16.0 cm - 0.1 cm = 15.9 cm
The upper bound for the width is 16.0 cm + 0.1 cm = 16.1 cm
The lower bound for the height is 21.7 cm - 0.1 cm = 21.6 cm
The upper bound for the height is 21.7 cm + 0.1 cm = 21.8 cm
The lower bound for the mass is 1970 g - 5 g = 1965 g
The upper bound for the mass is 1970 g + 5 g = 1975 g
We can now use these bounds to calculate the range of possible densities:
Density lower bound = 1965 g / (13.3 cm x 16.1 cm x 21.8 cm) = 0.350 g/cm^3
Density upper bound = 1975 g / (13.1 cm x 15.9 cm x 21.6 cm) = 0.360 g/cm^3
So the density of the wood is between 0.35 and 0.36 g/cm^3 to one decimal place.
So the density is 0.35 g/cm^3 with an uncertainty of 0.01 g/cm^3
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Can canvas track tabs?
Canvas cannot track tabs.
While Canvas cannot track whether students switch to new tabs in their web browsers during a quiz or test, it can track when a student completes a quiz and navigates to a different page on the website rather than the one they were previously on. However, the general public cannot access this data.
In a perfect world, Canvas wouldn't be able to tell if a student opened new tabs in a browser or a new program or online browser while taking a quiz or test. However, Canvas will watch over and restrict student internet activity if the exam is proctored.
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Can u please help . ?............
Answer:
See the picture below
Step-by-step explanation:
How do you write a function in Gee?
This is a function that takes in a geometry object as an input and calculates its area. It then returns the calculated area as an output.
1. Create a function with the desired name and parameters. In this case, the function is called “getArea” and takes in a geometry object as a parameter:
function getArea(geometry)
2. Calculate the area of the geometry using the “area” function in GEE:
var area = geometry.area();
3. Return the calculated area:
return area;
4. End the function:
This function will take in a geometry object and return its area. This can be used to calculate the area of any geometry, such as a polygon or a line. This is a useful function for GEE applications, as it can be used to quickly calculate the area of any given geometry.
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The four-digit numeral $3AA1$ is divisible by $9$. What digit does $A$ represent?
When a four-digit number is divisible by nine and is written as 3AA1, the digit A stands for 7.
Properties of 9-divisible numbersA number is itself divisible by nine if the total of its digits is also divisible by nine.
Multiples in mathematics are the outcomes of multiplying an integer by a certain number. a multiple of 9 is a number that divides by nine without remainder.
By utilizing the aforementioned attribute, we can
1 + 3 + 4 + 5 = 9, 18, or 27.
4 +2A = 9, OR 18, OR 27
calculating based on sum equal to 18
2A = 18 - 4
2A = 14
A = 7
therefore 3771 is the number
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Please help, This is confusing. I'll mark brainiest
Answer: a.
Look at the tables closely, many of them are either trick questions or flat out wrong.
Which is not a polynomial a 4x2 2x 1 by 3 YC x3 1 D y2 5y 1?
2) y+ 3÷y is the equation that is not a polynomial. Using addition, subtraction, multiplication, and division of numbers .
what is polynomial ?Using just the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables, a polynomial is an expression in mathematics made up of variables (also known as indeterminates) and coefficients. Using addition, subtraction, multiplication, and division of numbers, a polynomial is an equation that combines variables, constants, and exponents (No division operation by a variable).
given
An algebraic mathematical equation known as a polynomial might have two components. coefficients and parameters
You can combine the solutions to these algebraic equations to achieve the result.
It follows the general formula as follows:
a + a1 + a+ …
2)y+ 3y is the equation that deviates from the formula above.
So, 2)y+ 3y is the equation that is not a polynomial.
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Can someone plz help me asap, thank you?!
Write and equation to match the hanger.
Answer:
x = 3
Step-by-step explanation:
The weight of the left side is to match that of the right side.
5x + 2 = 17,
so 5x = 15, and x = 3
A cinde has a diameter of 26 units. What is the area of the cirde to the nearest
hundreath of a square unit?
A 81.68
Answer:
Area of circle = 530.66 unit sq
Step-by-step explanation:
here's your solution
==> Diameter of circle = 26 units
==> Radius of circle = 13
==> Area of circle = πr^2
==> Area of circle. = 3.14*(13*13)
==> Area of circle = 530.66 unit sq
hope it helps...
The cost of 5.5 pounds of apples is 40.81. What is the constant of proportionally that relate the cost in dollars, y, to the number of pounds of apples, x.
Answer:
7.42
Step-by-step explanation:
y = (40.81/5.5)x
y = 7.42x
The circle below has center H. Suppose that mLFEG=46°. Find the following.
From given circle, Measure of arc FG = 23πr/45 and ∠FHG = 92°.
The distance between the two locations along a segment of a curve is known as the arc length. Any portion of the circumference is an arc in a circle. The angle that an arc occupies at any given point is the angle created by the two line segments that connect that point to the arc's endpoints.
Length of an Arc = r, where is in radians, is the formula used to express the arc length of this arc OP.
The measure of ∠FHG = 2 × 46° [As Angle at center equals twice at circumference]
So, ∠FHG = 92°
Measure of the arc FG = 2πr(θ/360°)
FG = 2πr(92/360)
FG = 23πr/45
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Find the value of x. Write your answer as a decimal
The equation is 4x + 17 = 7. Then the value of the variable 'x' will be negative 2.5.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The triangles are congruent triangles. Then the ratio of the corresponding sides will be equal to one. Then the equation is given as,
4x + 17 = 7
Simplify the equation, then we have
4x + 17 = 7
4x = 7 - 17
4x = - 10
x = - 10/4
x = - 2.5
The equation is 4x + 17 = 7. Then the value of the variable 'x' will be negative 2.5.
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Which is a correct expansion of (4x + 1)(2x7 - 2)?
Answer:
So the correct expansion of (4x + 1)(2x7 - 2) is 8x^27 - 8x2 + 2x7 - 2
Step-by-step explanation:
When expanding an algebraic expression like (4x + 1)(2x7 - 2), you can use the distributive property to find the product of each term in the first set of parentheses with each term in the second set of parentheses, and then add them together. The distributive property is the process of multiplying one term in the parentheses by each of the terms outside the parentheses.
Here is the correct expansion of (4x + 1)(2x7 - 2):
(4x + 1)(2x7 - 2) = 4x(2x7) + 4x(-2) + 1(2x7) + 1(-2)
= 8x^27 + -8x2 + 2x71 + -21
= 8x^27 + -8x2 + 2x7 + -2
= 8x^27 - 8x2 + 2x7 - 2
So the correct expansion of (4x + 1)(2x7 - 2) is 8x^27 - 8x2 + 2x7 - 2
It's important to note that you can also use FOIL method which is the acronym for the steps of the distributive property, First, Outside, Inside, Last.
Question 39 of 40
What are the zeros of the function f(x) = (x + 5)2 x-8)?
A. X= 5 and x = -8
B. x= -5 and x = 8
C. X=-5 and x = 4
D. x= 5 and x= -4
SUBMIT
Answer:
C
Step-by-step explanation:
we have to solve the associated equation:
(x+5)(2x-8) = 0
a product is equal to 0 if at least one of its factors is equal to 0
so we can solve this two equations
x + 5 = 0 x = -5
2x - 8 = 0. x-4 = 0 x = 4
This is algebra 2, please help me by using elimination to solve.
The correct option regarding the solutions of the system of equations for this problem are given as follows:
The solutions are (-1.19, 4.47) and (2.52, 27.92).
How to solve the system of equations?The system of equations for this problem is defined as follows:
4x² + x - y = 0.-x² - 5x + y - 9 = 0.Adding the two equations, we can eliminate the variable y, hence:
3x² - 4x - 9 = 0.
Meaning that this is a quadratic equation with the coefficients given as follows:
a = 3, b = -4, c = -9.
Inserting these parameters into a quadratic equation calculator, the solutions for x of the quadratic equation are given as follows:
x = -1.19 and x = 2.52.
When x = -1.19, the solution for y is calculated as follows:
y = 4x² + x = 4(-1.19)² - 1.19 = 4.47.
When x = 2.52, the solution for y is calculated as follows:
y = 4x² + x = 4(2.52)² + 2.52 = 27.92.
Meaning that the correct option is given by the second option.
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A high school statistics class wants to conduct a survey to determine what percentage of students in the school would be willing to pay a fee for participating in after-school activities. Twenty students are randomly selected from each of the freshman. sophomore. junior, and senior classes to complete the survey. This plan is an example of which type of sampling ? a. Cluster
b. Convenience c. Simple random d. Stratified random e. Systematic
A high school statistics class wants to conduct a survey to determine what percentage of students in the school would be willing to pay a fee for participating in after-school activities. Twenty students are randomly selected from each of the freshman. sophomore. junior, and senior classes to complete the survey. This plan is an example of Stratified random type of sampling .
What does "stratified random sampling" mean?
A population is divided into smaller subgroups known as strata as part of a sampling technique called stratified random sampling.
During stratified random sampling, also known as stratification, groups of people are divided into groups based on shared traits or characteristics, such as level of education or income.
What is a good illustration of a stratified sampling technique?
A stratified sample is one that guarantees that the various strata (subgroups) of a given population are fairly represented in the sample population as a whole.
One could, for instance, divide a sample of persons into age-related subgroups, such as 18–29, 30-39, 40–49, 50–59, and 60 and above.
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The preimage of a triangle has points A(4,6) B(10,5) and C(1,-3). What are the coordinate of the image after a dilation of 1/2?
Answer:
A (2,3); B (5, 2.5) C: (.5, -1.5)
Step-by-step explanation:
divide everything by 2
Find m (angle) 1 . Then classify the triangle by its angles.
M (angle) 1 =
Answer:
right triangle m=5
Step-by-step explanation:
because it has a 90 degree angle
What is the perimeter?
Help plz... And
No links
I repeat No links!!
Answer:
the perimeter is 25 miles
Answer:
30 mi
Step-by-step explanation:
This is a right triangle, so the Pythagorean Theorem applies:
13^2 + x^2 = 12^2, or
x^2 = 25 and x = 5.
The perimeter is the sum of the dimensions of this triangle:
12 mi + 5 mi + 13 mi = 30 mi
A car travel the distance of D equals 450 km for T equals 4.4 hours at a constant rate. What is the speed of the car in kilometers per hour
Answer:
102.3 kilometers per hour
Step-by-step explanation:
A car travel the distance of D equals 450 km for T equals 4.4 hours at a constant rate. What is the speed of the car in kilometers per hour
The formula to calculate Speed = Distance (Kilometers)/ Time(hours)
The speed of the car = 450km/4.4 hours
102.27272727 kilometers per hour
Approximately = 102.3 kilometers per hour
3. A recipe for carrot-bean soup calls for 750 ml of broth, 300 g of beans, and
1/2 cup sliced carrots. How many grams of beans and cups of carrots will you
use if you only have 600 ml of broth? Show your thinking in the following
table.
(4 points)
A
B
с C
D
E
given
Answer: hope this helps
Step-by-step explanation:
600/750 = 4/5
The number of beans is 4/5*300.
The number of carrots is 1/2*4/5.
Example You practice paddleboarding for
3 weeks. You paddle the same amount each day
for 5 days each week. You paddle 22.5 miles
altogether. How many miles do you paddle
each day?
Therefore , the solution of the given problem of equation comes out to be 1.45 mph (speed of the current).
Explain equationA mathematical depiction of two equal things, one on either side of a "equals" sign, is called an expression. Equations can be used to solve common problems. To solve challenges in real life, we frequently turn for pre algebra assistance. Lessons in pre-algebra cover the foundational ideas of mathematics.
Here,
The 15 miles that Bob the Boy Scout must paddle upwards against the current takes him 10 hours.
He discovers that paddling 22.5 miles against the current only took him 5 hours when he turns back.
——
Upstream data: rate = d/t = 15/10 = 1.5 mph, distance = 15 miles, time = 10 hours.
————————
Downstream DATA: rate = d/t = 22/5 = 4.4 mph; duration = 5 hours; distance = 22 miles.
———————-
Equations:
upstream: Downstream, b-c = 1.5 mph; b+c = 4.4 mph
2b = 5.9 mph;
2b = 2.95; add and solve for "b" (speed of the boat in still water)
—-
For "c," use the formula
=> b + c = 4.4
=>2.95 + c = 4.4
=> c = 1.45 mph (speed of the current)
Therefore , the solution of the given problem of equation comes out to be 1.45 mph (speed of the current).
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What does log () do in mathematics?
Log () helps to determine the single number to be multiplied.
Log stands for logarithm in algebra. The inverses of equations using exponents are called logarithms. Logs can be used to determine how many times one number needs to be multiplied to get another in its most basic form. For instance, to get 100 in the base-10 system, 10 must be multiplied by 10. In a base-10 system, the logarithm of 100 is therefore 2.
Log () expresses the power or exponent that a base number must be raised to or multiplied by in order to create another number in an ideal world. In situations where the user has data values that are significantly greater or lower than the other values, log scales are quite helpful. When displaying major percentage variations between data points, the user can also utilize a log scale.
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What is the volume of plastic used to construct the rocket if it is a solid? Round your answer to the nearest cubic inch
Answer:
151 in^3
Step-by-step explanation:
please find the image required to answer this question in the attached image
The rocket consists of two shapes - a cone and a cylinder
the volume of the plastic = volume of cone + volume of cylinder
volume of a cylinder = nr^2h
Volume of a cone 1/3(nr^2h)
n = 22/7
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
Radius = 5/2 = 2.5
Height of cone = 11 - 6 = 5
Volume of plastic = (22/7) x (2/5^2) x 6 + (1/3) x (22/7) x (2/5^2) x 5 = 117.9 + 32.7 = 150.6 in^3 = 151
solve x^2-4x=0 by factoring
[tex]\huge\text{Hey there!}}[/tex]
[tex]\mathsf{x^2 - 4x = 0}[/tex]
[tex]\text{Factor the LEFT side of your given equation to make it easier to solve}[/tex]
[tex]\mathsf{x(x - 4) = 0}[/tex]
[tex]\text{Set the factors to equal to the number 0}[/tex]
[tex]\mathsf{x - 4 = 0\ \& \ x = 0}[/tex]
[tex]\text{Simplify find and you should be able to have your answer to the given equation}[/tex]
[tex]\mathsf{x = 4 \ \& \ x = 0}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{x = 4\ or \ x = 0}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Which set of angle measures CANNOT be the angle measures of a triangle? 1. 60, 60, 61 2. 1, 1, 178 3. 13.9, 16.1, 150 4. 59, 60, 61
Answer:
1.
Step-by-step explanation:
60+60+61 is 181 and a triangle always has 180 degrees
5x/100 22/6 = 16 15/14
Answer: I don't know
Step-by-step explanation:
SU is a midsegment of QRT
If QR=-5v+96 and SU = 19v-38 than what is the value of X
Answer:
v = 4
Step-by-step explanation:
⭐What is the midsegment of a triangle?
a segment that runs from the midpoints of two opposite sides⭐What are some properties of the midsegment?
the midsegment is 1/2 of the length of the baseThus, we have to make an equation using the properties of the midsegment to solve for v.
Working:
[tex]SU = \frac{1}{2}(QR)[/tex]
[tex]19v - 38 = \frac{1}{2}(-5v + 96)[/tex]
[tex]38v - 76 = -5v + 96[/tex] . . . . . multiply both sides by 2 to get rid of the fraction
[tex]43v = 172[/tex] . . . . . add 5v and 76 to both sides
∴ [tex]v = 4[/tex] . . . . . . . . . divide both sides by 43 to isolate v
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Construction A construction company is building a new parking garage and is
charging the following rates: $5000 a month for the first 2 months; $8000 a month
for the next 4 months; $6000 in total for the last 4 months, when the garage will be
completed. This amount will be paid in a lump sum at the end of the 6th month.
Express the cost C (in thousands of dollars) as a function of
the time t (in months) that the construction company works
on the parking garage.
Answer:
C(t) = 5t for 0 < t ≤ 3
C(t) = (8t-9) for 3 < t ≤ 6
C(t) = 44 for 6 < t ≤ 10
C is given in thousands of dollars and t is given in months.
Total lump sum to be paid at the end of the 6 months for the total 10 months that the construction company works on the parking garage = $44000
Step-by-step explanation:
We will do a piecewise analysis for this cost function.
How to obtain the total cost changes with each time interval.
In the first 3 months,
C(t) = 5t for 0 < t ≤ 3
Note that C is given in thousands of dollars
In the next 3 months,
C(t) = (8t-9) for 3 < t ≤ 6
- Here, it gets a little complex, we use the upper limit of the previous interval and the lower limit of this new interval to get the constant to be subtracted from the normal 8t that characterizes this interval.
8(3) = 24
5(3) = 15
constant = 24 - 15 = 9
In the last 4 months,
C(t) = 44 for 6 < t ≤ 10
- For the last four months, it is a single sum of $5000 plus the [8(6) - 9] from the previous inteval
C = [8(6) - 9] + 5 = 39 + 5 = 44
So, the cost of parking, tracked month after month gives
T | Cost (in thousands of dollars)
1 | 5
2 | 10
3 | 15
4 | 23
5 | 31
6 | 39
7 | 44
8 | 44
9 | 44
10 | 44
Total lump sum to be paid at the end of the 6 months for the total 10 months that the construction company works on the parking garage = $44000
Hope this Helps!!!
This is not my answer yet is a stollen verrified one.
The quick ship company uses the function C(w) to calculate the cost in dollars, C, for shipping an item weighing w ounces.
Complete question :
The Quick Ship company uses the function C(w) to calculate the cost in dollars, C, for shipping an item weighing w ounces. C(w) 0.45w 0.35w + 1.6 if 0 < W 16 Which statement about the shipping rate is true?
A.it is possible that an item weighing less then 16 ounces could cost the same as an item weighing more than 16 ounces
B. to find the charge for shipping a package weighing more than 16 ounces, multiply the weight by $.035.
C. Shipping at the second rate will always cost $1.60 more than shipping at the first rate
D. if the weight is greater than 16 ounces,the shipping rate is $.0.35 per ounce, plus $1.60
Answer:
C. Shipping at the second rate will always cost $1.60 more than shipping at the first rate
Step-by-step explanation:
The shipping rates are :
C(w) = 0.45w
Second rate :
C(w) = 0.35w + 1.6
For the first shipping rate, it only has a rate of change value which varies based on the weight of item to be shipped, C(w) = 0.45w.
However, the second shipping rate includes a fixed rate and rate based on the weight of item. This fixed rate implies that regardless of the weight of item to be shipped, a fixed fee is charged which is $1.60. This means that the shipping fee at the secind rate will always be $1.60 greater than thebfirst shipping rate.