Answer: The mass of the sand is greater than the mass of the salt.
Step-by-step explanation: Scientific notation is a way of writing numbers that are very large or very small. It is written in the form a x 10^b, where a is a number between 1 and 10 and b is an integer. For example, 300 can be written as 3 x 10^2 in scientific notation.
To compare the masses of the salt and sand grains using scientific notation, we first need to write them in scientific notation. The mass of the salt is 0.0006 grams, which can be written as 6 x 10^-4 grams. The mass of the sand is 0.009 grams, which can be written as 9 x 10^-3 grams.
Next, we compare the exponents. Since -3 < -4, we know that 9 x 10^-3 > 6 x 10^-4. This means that the mass of the sand is greater than the mass of the salt.
Hope this helps, and have a great day!
Brendan flips a coin and records how
many times it lands on the floor heads
up. He flips the coin 400 times, and it
lands heads up 140 times.
What is the relative frequency of the coin
landing heads up?
Answer:
0.35
Step-by-step explanation:
relative frequency:
140/400 = 0.35
sketch the region enclosed by the given curves. (a graphing calculator is recommended.) y = 4 − x2, y = 0
The region enclosed by the curves y = 4 - \(x^{2}\) and y = 0 can be sketched as follows:
Consider the equation y = 4 - \(x^{2}\).
This equation represents a downward-opening parabola centered at the origin with a vertex at (0, 4).
As x increases or decreases, the value of y decreases, resulting in a curve that opens downwards.
the points of intersection between the curves y = 4 - \(x^{2}\) and y = 0. Setting
y = 0 in the equation y = 4 - \(x^{2}\), we can solve for x:
0 = 4 - \(x^{2}\)
\(x^{2}\) = 4
x = ±2
So, the points of intersection are (-2, 0) and (2, 0).
By plotting the parabola y = 4 - \(x^{2}\) and the x-axis, we can see that the region enclosed by the curves is a symmetric portion of the parabola below the x-axis, between x = -2 and x = 2.
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Kelly wants to fence in a rectangular space in her yard, 6 meters (length) by 10.5 meters (width). the salesperson at the supply store recommends that she put up posts every 1.5 meters. the posts cost $2.69 each. kelly will also need to buy wire mesh to string between the posts. the wire mesh is sold by the meter from large rolls and costs $5.96 a meter. a gate to fit in one of the spaces between the posts costs $25.39. seven staples are needed to attach the wire mesh to each post. staples come in boxes of 50, and each box costs $3.99. how much will the materials cost before sales tax?
The total materials cost before sales tax is $297.21.
How the total materials cost is determined:The total materials cost is the result of the addition of the total cost of posts, wire mesh, gate, and staples, as follows.
The length of the rectangular space = 6 meters
The width of the space = 10.5 meters'
The perimeter of the space = 33 meters [2(6 + 10.5)]
The space between posts = 1.5 meters
The number of posts = 22 (33 ÷ 1.5)
The cost per post = $2.69
a) The cost of the posts = $59.18 ($2.69 x 22)
The cost of wire mesh:
Cost per meter = $5.96
The number of meters of wire mesh = 33 meters
b) Total cost of the wire mesh = $196.68 ($5.96 x 33)
c) Cost of the gate = $25.39
Cost of Staples:
The number of staples per post = 7
The total number of staples required = 154 (22 x 7)
The number of boxes of staples = 4
The cost per box = $3.99
d) The total cost of staples = $15.96 (4 x $3.99)
The total cost of materials = $297.21 ($59.18 + $196.68 + $25.39 + $15.96)
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Which number sentence states that x is at most 50?
A. x < 50
B. x < 50
C. x = 50
D.x > 50
E. x > 50
idk this one is kind of confusing me
Answer:
its A & B, x<50
Step-by-step explanation:
atmost means till 50.
atleast means more than 50.
The number sentence that states that x is at most 50 is option B: x ≤ 50.
In mathematical notation, the symbol "≤" means "less than or equal to." So, x ≤ 50 translates to "x is less than or equal to 50."
This means that x can be any value that is less than 50 or exactly 50.
Option A (x < 50) would mean "x is less than 50," excluding the value 50 itself.
Option C (x = 50) would mean "x is equal to 50," but it doesn't include any values less than 50.
Option D (x > 50) would mean "x is greater than 50," excluding the value 50 itself.
Option E (x ≥ 50) would mean "x is greater than or equal to 50," which includes values greater than 50, but it doesn't allow any values less than 50.
So, the correct choice to state that x is at most 50 (including the value 50) is option B: x ≤ 50.
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What is the value of this expression?
Answer:
-3
Step-by-step explanation:
Step 1: Solve (-2+(-1))^2/3 3
1. -2+(-1) = -3
2. (-3)^2 = 9
3. 9/3 = 3
Step 2: Solve (-4)^2-17 -1
1. 3/-1
Step 3: Simplify 3/-1 = -3. I hope this helped and please don't hesitate to reach out with more questions!
The weight of 4 eggs is shown. Identify the constant of proportionality of total weight to number of
eggs.
The weight of 4 eggs is 188 g
Answer:
47g
Step-by-step explanation:
find the nth maclaurin polynomial for the function. f(x) = sin(x), n = 3
P3(x) = ___
The third-degree Maclaurin polynomial for f(x) = sin(x) is P3(x) = x - (x^3) / 6.
To find the nth Maclaurin polynomial for the function f(x) = sin(x) when n = 3, we need to compute the polynomial up to the third-degree term.
The Maclaurin polynomial for a function f(x) centered at x = 0 is given by the formula:
Pn(x) = f(0) + f'(0)x + (f''(0)x^2) / 2! + (f'''(0)x^3) / 3! + ...
Let's calculate the nth Maclaurin polynomial for f(x) = sin(x) when n = 3:
First, we find the values of the function and its derivatives at x = 0:
f(0) = sin(0) = 0
f'(x) = cos(x), so f'(0) = cos(0) = 1
f''(x) = -sin(x), so f''(0) = -sin(0) = 0
f'''(x) = -cos(x), so f'''(0) = -cos(0) = -1
Using these values, we can write the Maclaurin polynomial:
P3(x) = 0 + 1x + (0x^2) / 2! + (-1x^3) / 3!
Simplifying further, we have:
P3(x) = x - (x^3) / 6.
Therefore, the third-degree Maclaurin polynomial for f(x) = sin(x) is:
P3(x) = x - (x^3) / 6.
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If an automobile travels 42 miles on 3 gallons of gasoline, how far, under the same driving conditions, will the car travel on 4.5 gallons of gasoline?
Answer:
63 hope this helped
Step-by-step explanation:
I have a math question
Answer:
If the data below were represented with a stem-and-leaf plot, a stem of 2
would have how many leaves?
17, 22, 53, 74, 42, 62, 93, 12, 67, 29, 50 come baby join meet
There are 16 circles and 4 triangles. What is the simplest ratio of triangles to total shapes?
Answer:4:5
Step-by-step explanation:thank me if this is right<333
f(x) = 2x+3 and g(x) = x - 7. Find f(3)
Answer:
f(3) = 9
Step-by-step explanation:
To evaluate f(3) substitute x = 3 into f(x), that is
f(3) = 2(3) + 3 = 6 + 3 = 9
Answer:
f(3) = 9
Step-by-step explanation:
f(3) = 2x + 3
input the 3 into all x values since it is f(x) basically it tells you the value of x
f(3) = 2(3) + 3
f(3) = 9
(2) Find the area of each circle to the nearest tenth
Pls show the work not just give me the answer
Answer:
38.5 mm^2
Have a nice day!
Step-by-step explanation:
Area = πr^2
Area = π(3.5^2)
Area = π(12.25)
Area = 38.48451...
Area = 38.5
An angle measures 33.2° less than the measure of its supplementary angle. What is the
measure of each angle?
Given the triangle ABC with the points A = ( 4, 6 ) B = ( 2, 8 ) C = ( 5, 10 ) and it's dilation, triangle A'B'C', with points A' = ( 8, 12 ) B' = ( 4, 16 ) C' = ( 10, 20 ) what is the scale factor?
Solution:
Given the triangle ABC with the points below
\(A=(4,6),\text{ }B=(2,8)\text{ and }C=(5,10)\)And it's dilation, triangle A'B'C, with points
\(A^{\prime}=(8,12),\text{ }B^{\prime}=(4,16)\text{ and }C^{\prime}=(10,20)\)To find the scale factor of dilation, the formula is
Scale factor = Dimension of the new shape ÷ Dimension of the original shape, i.e.
\(Scale\text{ factor}=\frac{Dimensio\text{n of the new point}}{Dimension\text{ of the original point}}\)Taking point A and A',
Substituting their dimensions into the scale factor formula
\(\begin{gathered} Scale\text{ factor}=\frac{(8,12)}{(4,6)}=\frac{2(4,6)}{(4,6)}=\frac{2}{1}=2 \\ Scale\text{ factor}=2 \end{gathered}\)Hence, the scale factor is 2
8. Is this relation a function?
{(1, 1)(2, 2)(3, 3)(4,4)}
a) Yes
b) No
Answer:
Yes
Step-by-step explanation:
The inputs in a function should have only one output. In other words, each x value should only be assigned to one y value.
For example, (−2, −1),(1, 0),(1, 5),(2, 0) would not be a function because x value 1 is assigned to both number 0 and number 5.
In (1, 1)(2, 2)(3, 3)(4,4), non of the X values repeat themselves, so it IS a function.
Use the pattern below. Each figure is made up by squares that are 1 unit by 1 unit.
|
|
|
(picture below)
Answer:
Figure 1: 4
Figure 2: 8
Figure 3: 16
Figure 4: 20
Step-by-step explanation:
Go around each figure and count how many cube lengths it takes to go around.
What is the diffrent between statistical significance and practical significance
The concept of statistical significance is mathematically defined and widely accepted by those who use it to assess the usefulness of scientific claims.
However, there is no single definition for practical significance. It is subjective in nature, experiential, and each person decides what it is based on their own experiences.
Thus, it is clear that while Practical significance lacks a common definition, statistical significance has a mathematical definition and is widely accepted by those who use it to assess the usefulness of scientific claims. It is a subjective concept that each person decides for themselves based on their personal experiences.
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what is the square root of x divided by the square root of 2 equal
Answer:
\(\sqrt{\frac{x}{2} }\)
Key:
• \(\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b}}\)
Step-by-step explanation:
\(\frac{\sqrt{x}}{\sqrt{2}}\\\)
\(\frac{\sqrt{x}}{\sqrt{2}}=\sqrt{\frac{x}{2}}\\\)
\(=\sqrt{\frac{x}{2}}\)
PLEASE ILL DO ANYTHING I ALREADY OFFERED AS MUCH POINTS AS POSSIBLE
Answer:
A, B, D, E
Step-by-step explanation:
Given expression:
(0.06) · (0.154)When multiplying decimals, multiply as if there are no decimal points:
\(\implies 6 \times 154 = 924\)
Count the number of digits after the decimal in each factor:
0.06 → 2 digits0.154 → 3 digitsTherefore, there is a total of 5 digits.
Put the same number of total digits after the decimal point in the product:
\(\implies (0.06) \cdot (0.154)=0.00924\)
-----------------------------------------------------------------------------------------------
Answer option A
\(\boxed{6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}}\)
When dividing by multiples of 10 (e.g. 10, 100, 1000 etc.), move the decimal point to the left the same number of places as the number of zeros.
Therefore:
6 ÷ 100 = 0.06154 ÷ 1000 = 0.154\(\implies 6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}=(0.06) \cdot (0.154)\)
Therefore, this is a valid answer option.
Answer option B
\(\boxed{6 \cdot 154 \cdot \dfrac{1}{100000}}\)
Multiply the numbers 6 and 154:
\(\implies 6 \times 154 = 924\)
Divide by 100,000 by moving the decimal point to the left 5 places (since 100,000 has 5 zeros).
\(\implies 6 \cdot 154 \cdot \dfrac{1}{100000}=0.00924\)
Therefore, this is a valid answer option.
Answer option C
\(\boxed{6 \cdot (0.1) \cdot 154 \cdot (0.01)}\)
Again, employ the technique of multiplying decimals by first multiplying the numbers 6 and 154:
\(\implies 6 \cdot 154 = 924\)
Count the number of digits after the decimal in each factor:
0.1 → 1 digit0.01 → 2 digitsTherefore, there is a total of 3 digits.
Put the same number of digits after the decimal point in the product:
\(\implies 0.924\)
Therefore, as (0.06) · (0.154) = 0.00924, this answer option does not equal the given expression.
Answer option D
\(\boxed{6 \cdot 154 \cdot (0.00001)}\)
Again, employing the technique of multiplying decimals.
As there are a total of 5 digits after the decimals:
\(\implies 6 \cdot 154 \cdot (0.00001)=0.00924\)
Therefore, this is a valid answer option.
Answer option E
\(\boxed{0.00924}\)
As we have already calculated, (0.06) · (0.154) = 0.00924.
Therefore, this is a valid answer option.
A theater has 1,464 seats. The seats are arranged into 62 equal-sized "regular" sections plus one "premium" front-row section. How many seats are in a regular section? How many seats are in the premium front-row section? Explain.
In the theater, that have 1,464 seats.
1426 seats are in "regular" sections
38 seats are "premium" front-row section
How to find the number of seats in the "regular" sectionsThe seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient
The division is as follows
1464 / 62
= 23 19/31
The number of seats in the regular section is 23 * 62 = 1426
The remainder will be arranged in premium front row
using equivalent fractions
19 / 31 = 38 / 62
the remainder is 38 and this is the seat for the premium front row section
OR 1464 - 1426 = 38 seats
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1. What is the perimeter of the figure below. Simplify.
4x^3-5x 2x^3+6x 6x^3+x
Answer:
\(12x^3+2x\)
Step-by-step explanation:
The perimeter of a polygon is equal to the sum of its sides.
The sides in the triangle shown have lengths \(2x^3+6x\), \(4x^3-5x\), and \(6x^3+x\) in no specific order.
Since its perimeter is given by the sum of its sides, the perimeter is equal to:
\(2x^3+6x+4x^3-5x+6x^3+x\)
Combine like terms:
\(\boxed{12x^3+2x}\)
Which line L has a slope of zero?
Answer:
D
Step-by-step explanation:
GradientA Gradient is also called a slope of a line, which represents how steep a line is.
Formula of slope: Vertical difference ÷ Horizontal difference
For a slope to be zero, the line must be horizontal.
SolutionBased on the question given, we can deduce that D is a horizontal line and therefore the slope is zero.
Consider the system of equations.
5x + 2y = 12
5x – 2y = 28
What is the solution to the system of equations?
A.
(5, -6.5)
B.
(4, 16)
C.
(4, -4)
D.
(-4, 4)
Answer:
C
Step-by-step explanation:
5x + 2y = 12 --(1)
5x - 2y = 28 --(2)
(2) - (1):
5x - 2y - 5x - 2y = 28 - 12
-4y = 16
y = -4
when y = -4, x = 4
The NWBC found that 16.5% of women-owned businesses did not provide any employee benefits. What sample size could be 99% confident that the estimated (sample) proportion is within 6 percentage points of the true population proportion?
A sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion.
To calculate the required sample size, we can use the formula:
n = (\(z^2\) * p * q) /\(e^2\)
where n is the sample size, z is the z-score corresponding to the desired level of confidence (in this case, 2.576 for 99% confidence), p is the estimated population proportion (0.165, based on the NWBC's finding), q is 1-p, and e is the maximum error we want to tolerate (in this case, 0.06 or 6 percentage points).
Substituting the values, we get:
n = (2.576^2 * 0.165 * 0.835) / \(0.06^2\)
Solving for n, we get:
n ≈ 329
Therefore, a sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion. Note that this assumes a simple random sample and that the population size is much larger than the sample size, so the finite population correction is not needed.
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Write an equation in slope-intercept form for the line with slope 6 and y-intercept -5.
Answer:
y = 6x -5
Step-by-step explanation:
The slope intercept form of an equation is
y = mx+b where m is the slope and b is the y intercept
y = 6x -5
Answer:
y = 6x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 6 and c = - 5 , then
y = 6x - 5 ← equation of line
Calculate the integral, assuming that ⁵∫₀ (x)x = −9 and ⁵∫₀ (x)x = 26.
(Give your answer as a whole or exact number.)
⁵∫₀ ((x)+(x))x=
Given that ⁵∫₀ (x)x = -9 and ⁵∫₀ (x)x = 26, we need to evaluate the integral ⁵∫₀ ((x)+(x))x. By applying the linearity property of integrals, we can split the integral into two parts: ⁵∫₀ (x)x dx + ⁵∫₀ (x)x dx. Substituting the given values, we have -9 + 26 = 17 as the result of the integral.
To calculate ⁵∫₀ ((x)+(x))x, we can apply the linearity property of integrals, which states that the integral of a sum is equal to the sum of the integrals.
Therefore, we can rewrite the integral as ⁵∫₀ (x)x dx + ⁵∫₀ (x)x dx.
Substituting the given values, we have ⁵∫₀ (x)x dx + ⁵∫₀ (x)x dx = -9 + 26 = 17.
Hence, the value of the integral ⁵∫₀ ((x)+(x))x is 17.
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7x - 4y = -8
X + 2y = -14
Step-by-step explanation:
First of all sorry for the bad hand writing
so rn I'm using elimination method which I try to eliminate y by multiple number 2 equation with 2
in order to find x
I know my explanation is quite confusing but any way goodluck n hope u understand
Help I'm giving brainiest to whoever does both
Answer:
1. A & E
2. B
Hope this helps :)
I'm struggling please help
Answer:a
Step-by-step explanation:
Because if you input 5 into -3x as the x axis, that turns in -15, then afterwards, you would add the 5 to -15 which then adds up to -10.
for this lesson, you will come up with your own challenging algorithm for other students to trace. it must contain at least 4 if statements, 1 else statement and use at least one and or or boolean condition. note: elif statements will not count - your statements must be if statements. each if statement should use a unique variable name. for this challenge, try reading 3 or 4 of your classmates' code as well. trace their code and predict what it will output, then check the code by running it to see if you got it right, and submit your work for a grade.
By using Python, you will come up with your own challenging algorithm for other students to trace.
What are If else Statements ?If a certain is true, the if/else expression triggers a sequence of instructions to run. Another piece of code may be run if the condition is false.
The if/else statement is a component of Python's "Conditional" Statements, which are used to carry out various operations based on various circumstances.
These conditional statements are available in Python:
If you want a block of code to run only if a certain condition is true, use the if statement.
If the same expression is false, use instead that to provide a set of instructions that should be run.
If the first expression is false, can use else if sentence to establish a comprehensive criterion to test.
To choose which of the several program code should be performed, use the switch.
How to write the code?
num = 100
if num < 20:
print('Less than 20')
if num < 30:
print('Less than 30')
if num < 40:
print('Less than 40')
if num < 50:
print('Less than 50')
if num > 100 or num == 100:
print('More than or equal to 100')
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