The best estimate for the mass of a spoon would be 43 grams (option b).
Option a) 43 kilograms is too heavy for a spoon, and option c) 3 kilograms is also too heavy. Option d) 3 grams could be a possible mass for a very small spoon, but a typical spoon would likely weigh more than that. Therefore, option b) 43 grams is the most reasonable and best estimate for the mass of a spoon. The mass of a spoon is a measurement of its weight and is typically measured in grams. Different types of spoons can have different mass values, depending on their size and the material they are made from. For example, a teaspoon made of plastic may have a lower mass than a teaspoon made of metal. Similarly, a tablespoon may have a higher mass than a teaspoon due to its larger size. The mass of an object can be measured using a scale, which determines the amount of force exerted on the scale by the object's weight. Accurately measuring the mass of an object is important in many fields, including cooking, chemistry, and engineering. In cooking, knowing the mass of ingredients is crucial for following recipes accurately, while in chemistry, measuring the mass of chemicals is necessary for conducting experiments and producing accurate results.
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Complete question
Which is best estimate for the mass of a spoon. a) 43 kilograms b) 43grams c) 3kilograms d) 3 grams
hi i have dis questioonnnnn plz help ;-;
Answer:
Step-by-step explanation:
10+W=25
Answer:
The First Part would be B and for the W= would be 15 since
25 = 10 + 15, it would also be B because of the order of the numbers.
You could also rewrite it as 10 + 15 = 25.
Step-by-step explanation:
Use the distributive property of multiplication to find 6×21
Hint: 21 = 1 + 20.
Answer:
126
Step-by-step explanation:
First multiply 6 by 1. This equals 6. Then, multiply 6 by 20 to get 120. 6+120=126.
I used a tutor for this and the answer I was given is 50.2. Which is incorrect. I am trying to understand how to solve.
Since you have the hypotenuse and the adjacent length, you have to use the trigonometric ratio cosine to
solve for x. Formulating the equation we have:
\(\begin{gathered} \cos (x)=\frac{\text{ adjacent length}}{\text{hypotenuse}} \\ \cos (x)=\frac{9}{14}\text{ (Replacing the values)} \\ \cos ^{-1}(\cos (x))=\cos ^{-1}(9/14)\text{ (Using the inverse function of cosine)} \\ x\text{ = 49.99}5\text{ (Dividing 9 by 14 and using the inverse function of cosine)} \\ \text{The answer would be 50\degree{}rounded to the nearest integer. } \end{gathered}\)pleaseeeee helppppp!!!!! I have to turn this in...!!!
If country X has imports valued at $2.9 trillion, exports valued at $1.5 trillion, and GDP valued at $9.8 trillion, calculate the index of openness for country X. Round to two decimal places.
The index of openness is a metric that measures the ratio of a country's total trade (exports plus imports) to its gross domestic product (GDP).
It is a measure of how much a country is open to international trade. If country X has imports valued at $2.9 trillion, exports valued at $1.5 trillion, and GDP valued at $9.8 trillion, the index of openness for country X can be calculated as follows: Index of openness = (Imports + Exports) / GDP Substituting the values for country X.
We get: Index of openness = ($2.9 trillion + $1.5 trillion) / $9.8 trillion Index of openness = $4.4 trillion / $9.8 trillion Index of openness = 0.45Therefore, the index of openness for country X is 0.45 when rounded to two decimal places.
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PLEASE HELP ASAP!!!!
A scatter plot is shown below: if you need an image of it look at the bottom
A graph shows numbers from 0 to 10 on the x axis at increments of 1 and the numbers 0 to 15 on the y axis at increments of 1. The ordered pairs 0, 14 and 1, 11 and 2, 9 and 3, 10 and 4, 7 and 5, 7 and 6, 5 and 7, 5 and 8, 3 and 9, 1 and 10, 0 are shown on the graph.
Which two ordered pairs can be joined to best draw the line of best fit for this scatter plot?
(4, 15) and (10, 7)
(1, 6) and (6, 0)
(0, 13) and (10, 11)
(0, 13) and (10, 0)
Reason:
If you were to draw a line through the points mentioned in choice A, the line wouldn't be close to the points since (4,15) isn't close to the points. The same goes for (10,7). So we can rule out choice A. Choices B and C are similar stories.
Choice D on the other hand has its line fairly close to all of the points.
Last option
(0,13)
The point will lie at top(10,0)
The point will lie at bottomSo
both will contain most no of plots so Option D is correct
The average price of a movie ticket in 1990 was $4.22. Since then, the price has increased by approximately 3.1 % each year. Write an exponential function to model this situation, then find the price of a ticket in 2016.
Answer:
4.22x times 3.1=80.6
Step-by-step explanation:
sorry if this is wrong I'm not a mathematician.
hope this helps
6. Suppose you draw at random the names of 5% of the registered voters separately from each county in a state. What type of sampling are you using
The type of sampling being used when 5% of the registered voters from each county in a state are drawn at random separately is a stratified sampling.
Stratified sampling is the type of probability sampling that is used when the population being sampled has different groups or strata with varying characteristics. A sample is then drawn from each group to make sure that each stratum or group is represented.The samples can be of equal sizes or can be proportionate to the size of the group. The idea behind stratified sampling is to increase the representativeness of the sample by reducing the variability of the data obtained from the sample.
The advantages of using stratified sampling are that it reduces the variability of the data obtained and ensures that every group or stratum is represented. It also makes it possible to identify any differences between the groups and analyze them independently of the others.In summary, when 5% of the registered voters from each county in a state are drawn at random separately, it is an example of a stratified sampling.
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1−0.03∗56/328=? [Enter your answer with 4 decimals]
The value of the expression 1 - 0.03 * 56 / 328 is equal to 0.9495.
To calculate the given expression, we follow the order of operations (PEMDAS/BODMAS):
Multiply 0.03 by 56: 0.03 * 56 = 1.68.
Divide the result by 328: 1.68 / 328 = 0.00512195 (rounded to 8 decimal places).
Subtract the obtained value from 1: 1 - 0.00512195 = 0.99487805.
Rounding the final result to 4 decimal places, we get 0.9495.
Therefore, the value of the expression 1 - 0.03 * 56 / 328 is 0.9495.
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Help please it´s urgent
Based on this graph, what is the solution to the system of equations?
Answers:
A. There are an infinite number of solutions.
B. There is no solution.
C. (1, 3)
D. (2, 3)
E. (3, 2)
Answer: E
Step-by-step explanation:
The solution means the intersection point, so in this case, it's (3, 2). The intersection point represents a value that is true for both equations, which is why it's considered the solution.
Hey guys what is the slope of this graph shown below. Please note that some of these points aren't going up by ones.
Find each part and show work for each cone. h = |= P = B = LA = SA = V = 16 ft | 12 ft
Answer:
(I assume you are referring to a cone with a height (h) of 16 feet and a radius (r) of 12 feet.)
To find the various parts of the cone, we can use the following formulas:
Radius: r = 12 feet
Height: h = 16 feet
Slant height: s = sqrt(r^2 + h^2) = sqrt(12^2 + 16^2) = 20 feet
Base circumference: C = 2πr = 2π(12) ≈ 75.4 feet
Base area: B = πr^2 ≈ 452.4 square feet
Lateral area: LA = πrs ≈ 753.9 square feet
Total surface area: SA = πr^2 + πrs ≈ 1206.3 square feet
Volume: V = (1/3)πr^2h ≈ 7238.2 cubic feet
Therefore, the various parts of the cone are:
Radius: r = 12 feet
Height: h = 16 feet
Slant height: s = 20 feet
Base circumference: C = 2πr ≈ 75.4 feet
Base area: B = πr^2 ≈ 452.4 square feet
Lateral area: LA = πrs ≈ 753.9 square feet
Total surface area: SA = πr^2 + πrs ≈ 1206.3 square feet
Volume: V = (1/3)πr^2h ≈ 7238.2 cubic feet
Note: The values for C, B, LA, SA, and V are approximations and may be rounded to the nearest tenth or hundredth depending on the required level of accuracy.
Me spivak had 5 gallons of gas. he used 1 gallon in his tractor and 3 quarts in his lawnmower. how much gas was left?
The amount of gas left is 3.25 gallons
How to determine the amount of gas left?The given parameters are:
Total gallons of gas = 5 gallons
Tractor = 1 gallon
Lawnmower = 3 quarts
The amount of gas left is calculated as:
Amount left = Total gallons of gas - Tractor - Lawnmower
Substitute the known values in the above equation
Amount Left = 5 gallons - 1 gallon - 3 quarts
Convert quarts to gallons
Amount Left = 5 gallons - 1 gallon - 3 * 0.25 gallons
So, we have:
Amount Left = 5 gallons - 1 gallon - 0.75 gallons
Evaluate the difference
Amount Left = 3.25 gallons
Hence, the amount of gas left is 3.25 gallons
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a simple random sample of 400 individuals provides 124 yes responses. (a) what is the point estimate of the proportion of the population that would provide yes responses?
Answer:
Step-by-step explanation:
Given:
n= Total number of random sample of people taken=400
x= Number of people who provided yes responses= 124
P= The point of estimate of the sample of the population portion taken=?
Now,
P=x/n
P=124/400
P= 124/4×100
P= 32/100
P= 0.32 or 32%
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0.31 or 31% is the point estimate of the proportion of the population that would provide yes responses
What is meant by Estimate of Proportion?Estimate of Proportion: If we divide the random variable, the mean, and the standard deviation by n, we get a normal distribution of proportions with P′, called the estimated proportion, as the random variable. (Recall that a proportion as the number of successes divided by n.)
a simple random sample of 400 individuals provides 124 yes responses
The point estimate of individuals that would provide yes responses is the sample proportion.
n= Total number of random sample of people taken=400
x= Number of people who provided yes responses= 124
P= The point of estimate of the sample of the population portion taken
The sample proportion is calculated by dividing number of yes responses by sample size
p = x/n = 124/400= 0.31 or 31%
0.31 or 31% is the point estimate of the proportion of the population that would provide yes responses
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The Brittle Bird Store prepares bird-seed blends by mixing sunflower seeds and millet and packaging them in 5-pound bags for sale. Sunflower seed (s) is regularly sold for $1.75 per pound, and millet (m) is sold for $2.50 per pound. The mixture is sold for $11.60.
How many pounds of sunflower seed does the mixture contain?
3.8 pounds
3 point 8 pounds
1.2 pounds
1 point 2 pounds
2.9 pounds
2 point 9 pounds
2.1 pounds
Answer:
Hai! saya dari Indonesia! salam kenal yaa ^^ oh ya maaf tidak bisa menjawab pertanyaan kamu ^^
The width of a plastic box is 2 ft longer than the height. the length is 2 ft longer than the height . the volume is 60 ft ^3 what are the dimensions of the box
The dimensions of the plastic box are: Height = 3 feet, Width = 5 feet, Length = 5 feet.
Let's assume the height of the plastic box is represented by "h" feet.
According to the given information:
The width is 2 feet longer than the height, so the width is (h + 2) feet.
The length is 2 feet longer than the height, so the length is (h + 2) feet.
The volume of the box is given as 60 ft^3. The volume of a rectangular box is calculated by multiplying its length, width, and height.
Therefore, we can set up the equation:
Volume = Length * Width * Height
60 = (h + 2) * (h + 2) * h
Expanding and rearranging the equation, we get:
60 = h^3 + 4h^2 + 4h + 4h + 4
60 = h^3 + 4h^2 + 8h + 4
Now, we need to solve this cubic equation to find the value of "h" (height).
By trial and error, we can find that h = 3 is a solution to the equation.
Therefore, the height of the box is 3 feet.
Using this value, we can calculate the width and length:
Width = h + 2 = 3 + 2 = 5 feet
Length = h + 2 = 3 + 2 = 5 feet
So, the dimensions of the plastic box are:
Height = 3 feet
Width = 5 feet
Length = 5 feet
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What is the equation of a line parallel to y=(3)/(4)x-5 and passes through (12,-2)?
A parallel line has the same slope as the original line. So in this case the slope of the line is also 3/4. Now how do we know if it intersects the point? We need to adjust the y intercept.
Currently, we know the equation of the line is y= 3/4 x + b, where b is the thing we are looking for. We also have a point, which supplies the x and y. Plug that in and solve for b
-2 = (3/4)*(12) + b
You'll get b= -11
So the equation of the parallel line intersecting the point given is y= 3/4x -11.
I am assuming that the slope is 3/4 based on the way you formatted the original equation, but it's the same steps if the slope is different.
It takes 2/3 yards of ribbon to make a bow. How much ribbon is needed to make 5 bows?
Answer:
For 5 bows, 10/3 yards of ribbon is required.Step-by-step explanation:
We know that:
2/3 yards = 1 bowWork:
2/3 yards = 1 bow=> 2/3 x 5 yards = 5 bows=> 10/3 yards = 5 bowsHence, for 5 bows, 10/3 yards of ribbon is required.
What is the value of the polynomial 5x − 4x^2 3 at x =- 1?
The value of the polynomial "5x - 4x^2 + 3" at x =- 1 is -6.
The polynomial is 5x - 4x^2 + 3, and it is required to find its value at x = -1,
Now solve the polynomial by putting the value of x equal to -1:
5(-1) - 4(-1)^2 + 3 , x = - 1
-5 - 4 ( 1 ) + 3 , squaring -1 gives + 1
minus 5 minus 4 plus 3
( - 9 + 3)
( - 6 )
Hence, is shown that the value - 6 is obtained when the given polynomial "5x - 4x^2 + 3" is solved for x = -1.
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Where does the word logarithm come from.
Answer:
Logarithms were invented in the 17th century as a calculation tool by Scottish mathematician John Napier (1550 to 1617), who coined the term from the Greek words for ratio (logos) and number (arithmos
Someone help please
\(\sf \sqrt{12} \times \sqrt{12}\)
Answer:
\(12\)
Step-by-step explanation:
\(\sqrt{12} \times\sqrt{12}\)
\(\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a,\:\quad \:a\ge 0\)
\(\sqrt{12}\sqrt{12}=12\)
\(=12\)
The value of \(\sqrt{12} * \sqrt{12}\) is equal to 12
To solve this problem, we have to convert the surds to radicals and then use the law of indices on this.
\(\sqrt{12} * \sqrt{12}= 12^\frac{1}{2} * 12^\frac{1}{2}\)
Addition Law of IndicesThis law is given as
\(a^m+a^n = a^(^m^+^n^)\)
let's substitute the values in this question.
\(12^\frac{1}{2}*12^\frac{1}{2}\)
Let's apply the law and solve the radical
\(12^\frac{1}{2}*12^\frac{1}{2} = 12^(^\frac{1}{2}^+^\frac{1}{2}^)\\\)
Solve the fractions
\(\frac{1}{2}+\frac{1}{2}=1\)
substitute the values and solve
\(12^\frac{1}{1}=12\)
from the calculations above, the value of the radical is 12.
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asap! please help i’ll give brainliest
Answer:
80444444444444444448----2-19999999999999999999999999999999999999488888888888888888888888865194974037205702795042-73--457-309703407203570-2-5-593759597207092-7503928077475073703594370975909304575407590565-17596332-659549579-27943595396575-2759650-2650-2959-92552820595907979474237947479023333333372222227403794322225409732222224700007945479470000374444444440944453709433337094444444444444474555555709479000447950497439270007454709490375777772093749930579047093479352974300000040357999994794432099999994907777743799949034970349743972437900000000940733320944444755555554099970304937777449037709437453094490377974374903
Step-by-step explanation:
Answer:
Your answer is definitely A
The equations of three lines are given below. Line 1: 10x - 4y = -4 2 Line 2: y = 5x+7 : = +7 Line 3: 5y = 2x+4 For each pair of lines, determine whether they are parallel, perpendicular, or neither
Lines 2 and 3 are perpendicular, while Lines 1 and 2, and Lines 1 and 3 are neither parallel nor perpendicular.
To determine whether two lines are parallel, perpendicular, or neither, we need to examine their slopes.
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. If two lines have the same slope, they are parallel. If the product of their slopes is -1, they are perpendicular. Otherwise, they are neither parallel nor perpendicular.
Line 1: 10x - 4y = -4 can be rewritten in slope-intercept form as y = 2.5x + 1. This means its slope is 2.5.
Line 2: y = 5x + 7 is already in slope-intercept form. Its slope is 5.
Line 3: 5y = 2x + 4 can be rewritten in slope-intercept form as y = 0.4x + 0.8. This means its slope is 0.4.
Now we can compare the slopes of each pair of lines:
Lines 1 and 2: The slope of Line 1 is 2.5 and the slope of Line 2 is 5. These slopes are not equal and their product is not -1, so these lines are neither parallel nor perpendicular.
Lines 1 and 3: The slope of Line 1 is 2.5 and the slope of Line 3 is 0.4. These slopes are not equal and their product is not -1, so these lines are neither parallel nor perpendicular.
Lines 2 and 3: The slope of Line 2 is 5 and the slope of Line 3 is 0.4. Their product is -1, so these lines are perpendicular.
Therefore, Lines 2 and 3 are perpendicular, while Lines 1 and 2, and Lines 1 and 3 are neither parallel nor perpendicular.
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may the real slim shady please stand I repeat may the real slim shady please stand up
Answer:
lol
Step-by-step explanation:
We're gonna have a problem here
Y'all act like you never seen a white person before
Jaws all on the floor like Pam like Tommy just burst in the door
Part 1
Evaluate the expression you got in part h for g= 1.
Answer:
Can you explain better? I might be able to solve
Step-by-step explanation:
Answer:
12/2g + 1
12/2(1)+1
12/2+1
12/3
4
Step-by-step explanation:
What is the remainder of (x 3 + 5x 2 − 32x − 7) ÷ (x − 4)?
Answer:
x^2 + 9x + 4 + 9/x - 4
Step-by-step explanation:
Simplify
Graph f(x)=|x−6|−4.
Use the ray tool to graph the function.
The graph of the absolute value function can be seen on the image at the end of the answer.
How to graph the absolute value function?Here we want to graph the following function:
f(x) = |x - 6| - 4
This in an absolute value function, and it shape is like a "V".
The vertex is at the point (6, -4), and from that point it increases (the V opens upwards, and in this case with a "slope" of 1).
Then the graph of the absolute value function will be like the graph that you can see in the image below.
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How do I solve an absolute value question?
Answer:
absolute value is how many units it is away from 0. meaning that -6 and 6 both have an abosolute value of 6.
Step-by-step explanation:
The exact value of cot (-9pi/4) equals
Answer:
-1
Step-by-step explanation:
The solution is -1
The value of cot ( -9π / 4 ) is -1
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin (-θ) = -sin (θ)
csc (-θ) = -csc (θ)
cos (-θ) = cos (θ)
sec (-θ) = sec (θ)
tan (-θ) = -tan (θ)
cot (-θ) = -cot (θ)
In the first quadrant, sin, cos and tan are all positive.
In the second quadrant going anti-clockwise, only sin is positive.
In the third quadrant going anti-clockwise, only tan is positive.
In the fourth quadrant going anti-clockwise, only cos is positive
Given data ,
Let the equation be represented as A
The value of A = cot ( -9π / 4 )
Now , from the trigonometric relations , we know
cot (-θ) = -cot (θ)
So , substituting the values in the equation , we get
cot ( -9π / 4 ) = - cot ( 9π / 4 )
And , 9π / 4 = 2π + π/4
So , - cot ( 9π / 4 ) = - cot ( 2π + π/4 )
The rotations of 2π until the angle is greater than or equal to 0 and less than 2π
On simplifying , we get
- cot ( 9π / 4 ) = - cot ( π/4 )
The value of cot (θ) in the first quadrant is positive
And , cot ( π/4 ) = 1
Therefore ,
cot ( -9π / 4 ) = -1
Hence , the value of cot ( -9π / 4 ) is -1
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