How many mg are contained in a 433 kg sample?
433 kg sample contains 433000000 milligram. A thousandth of a gram, or a metric unit of mass measurement.
A thousandth of a gram, or a metric unit of mass measurement. One millilitre, or one thousandth of a litre, of water at 4 degrees Celsius, weighs one gram. The word "milligram" is shortened to mg. Whatever the motivation, Milligram stands to gain. The Melbourne-based shop has transformed from a direct-to-consumer brand that solely operated online and sold largely stationery products to an omnichannel lifestyle brand with three brick-and-mortar stores and plans for four more in less than a year. The worldwide metric system divides solid weight into very tiny units called milligrams. A milligram is precisely one thousandth of a gram; to put it another way, a typical mosquito weighs about 2 milligrams.
433 kg = 433000000 mg.
Now that we are aware of the conversion factor, we can easily convert 433 kilograms to milligrams by multiplying 1000000 by the number of kilograms we have, which is 433.
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He national debt of a country is $298,800,000,000,000 and the population is 53,980,000. What is the debt per person? Write the answer without exponents.
Answer:
5535383.47 units
Step-by-step explanation:
Given that,
The national dept of a country = 298,800,000,000,000
Population of the country = 53,980,000
We need to find the debt per person. It can be calculated by dividing national dept of a country to its total population. Let it is d.
\(d=\dfrac{298800000000000}{53980000}\\\\=5535383.47\ \text{units}\)
Hence, the debt per person is 5535383.47 units.
Can someone help please this so due tonight
The fraction of crayons that are blue triangle is 1/5.
The ratio of blue rounds to non-blue crayons is
The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs
What is Fraction?A fraction represents a part of a whole.
1. Let's say Alexa had a total of 5x crayons in the bag.
the number of blue crayons in the bag is 2x,
There is one triangle for every two round crayons,
(1/2) × 2x = x (By condition)
So, the fraction of crayons that are blue triangle is x / 5x = 1/5.
The number of blue round crayons is 2x.
The number of non-blue crayons is 5x - 2x = 3x,
The ratio of blue rounds to non-blue crayons is 2x / 3x = 2/3.
2.
4 out of 5 wall footballs are rubber, 4/5 of the footballs in the bag are rubber.
The fraction of rubber footballs that are brown is 2/3.
The fraction of footballs that are brown rubber footballs is (4/5) × (2/3) = 8/15.
The fraction of non-brown rubber footballs is (4/5) - (8/15) = 4/15.
The ratio of rubber footballs to non-rubber footballs is (4/5) / (1/5) = 4.
So there are 4 times as many rubber footballs as non-rubber footballs
Hence, the fraction of crayons that are blue triangle is 1/5.
The ratio of blue rounds to non-blue crayons is
The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs
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hello please help i’ll give brainliest
Answer:
C i think
Step-by-step explanation:
Once an action is caused, a reaction immediatley happens
Think back to the fruit market in Bavaria. If pears cost $0.65, how many pears could you buy if you have $5.20 to spend? Write the equation you would use to answer the question.
Answer:
Step-by-step explanation:
0.65x = 5.20, 8 pearsStep-by-step explanation:We put x beside 0.65 because that is the unknown number of pears we can buy with $5.20. To find out how many pears you could buy, we just solve for x. So let's do it!0.65x = 5.20x = 88 pears
is y=28(0.438)^8 growth or decay
Answer:
decay
Step-by-step explanation:
y=28(0.438)^8
This is in the form
y = a b^x
a is the initial value and b is the rate of growth or decay
since b < 1 the function is decaying
What is the scale factor of the dilatation?
The scale factor of the dilatation is 1/2.
What is the scale factor?
Scale factor = Dimension of the new shape / Dimension of the original shape is the fundamental formula used to calculate it. The formula is expressed as Scale factor = Larger figure dimensions ÷ Smaller figure dimensions in the event that the original figure is enlarged.
Scale factor is unitless.
The length of each side of rhombus LMNO is 6 unit.
The length of each side of rhombus L'M'NO' is 3 unit.
The scale factor is Dimension of the new shape / Dimension of the original shape.
= 3/6
= 1/2
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Pre-calc. I need help NOW
A cylindrical tank with radius 3 m is being filled with water at a rate of 4 m3/min. How fast is the height of the water increasing (in m/min)
Answer:
Let R be the radius of the tank, H(t) the height of the water at time t, and V(t) the volume of the water. The quantities V(t), R and H(t) are related by the equation
V(t) = πR²H(t) ___(1)
The rate of increase of the volume is the derivative with respect to time,
dV/dt
and the rate of increase of the height is
dH/dt
We can therefore restate the given and the unknown as follows
Given:
dV/dt = 4m³/min
Unknown:
dH/dt
Now we take derivative of each side of (1) with respect to t:
dV/dt = πR²dH/dt
So
dH/dt = 1/πR²dV/dt
Substituting R = 3 m and dV/dt = 4m³/min we have
dH/dt = 1/π(3)² ⋅ 4 = 4/9π
Answer: the height of the water increasing at a rate of
dH/dt = 4/9π²
≈ 0.14 m/minPlease help! (Photo) -xoxo
Answer:
4 units
Step-by-step explanation:
Right now, the line A'B' is 8 units long. Since this was multiplied by 2 to get this number, you can divide it by 2 to get the original number. 8/2 is 4.
Therefore, the correct answer is 4 units!
Hope I helped!!!!!
An equation for the graph shown to the right is: 4 y=x²(x-3) C. y=x²(x-3)³ b. y=x(x-3)) d. y=-x²(x-3)³ 4. The graph of the function y=x¹ is transformed to the graph of the function y=-[2(x + 3)]* + 1 by a. a vertical stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up b. a horizontal stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up c. a horizontal compression by a factor of, a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up d.a horizontal compression by a factor of, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up 5. State the equation of f(x) if D = (x = Rx) and the y-intercept is (0.-). 2x+1 x-1 x+1 f(x) a. b. d. f(x) = 3x+2 2x + 1 3x + 2 - 3x-2 3x-2 6. Use your calculator to determine the value of csc 0.71, to three decimal places. b. a. 0.652 1.534 C. 0.012 d. - 80.700
The value of `csc 0.71` to three decimal places is `1.534` which is option A.
The equation for the graph shown in the right is `y=x²(x-3)` which is option C.The graph of the function `y=x¹` is transformed to the graph of the function `y=
-[2(x + 3)]* + 1`
by a vertical stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up which is option A.
The equation of `f(x)` if `D = (x = Rx)` and the y-intercept is `(0,-2)` is `
f(x) = 2x + 1`
which is option B.
The value of `csc 0.71` to three decimal places is `1.534` which is option A.4. Given a graph, we can find the equation of the graph using its intercepts, turning points and point-slope formula of a straight line.
The graph shown on the right has the equation of `
y=x²(x-3)`
which is option C.5.
The graph of `y=x¹` is a straight line passing through the origin with a slope of `1`. The given function `
y=-[2(x + 3)]* + 1`
is a transformation of `y=x¹` by a vertical stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up.
So, the correct option is A as a vertical stretch is a stretch or shrink in the y-direction which multiplies all the y-values by a constant.
This transforms a horizontal line into a vertical line or a vertical line into a taller or shorter vertical line.6.
The function is given as `f(x)` where `D = (x = Rx)` and the y-intercept is `(0,-2)`. The y-intercept is a point on the y-axis, i.e., the value of x is `0` at this point. At this point, the value of `f(x)` is `-2`. Hence, the equation of `f(x)` is `y = mx + c` where `c = -2`.
To find the value of `m`, substitute the values of `(x, y)` from `(0,-2)` into the equation. We get `-2 = m(0) - 2`. Thus, `m = 2`.
Therefore, the equation of `f(x)` is `
f(x) = 2x + 1`
which is option B.7. `csc(0.71)` is equal to `1/sin(0.71)`. Using a calculator, we can find that `sin(0.71) = 0.649`.
Thus, `csc(0.71) = 1/sin(0.71) = 1/0.649 = 1.534` to three decimal places. Hence, the correct option is A.
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The generic metal A forms an insoluble salt AB(s) and a complex AC5(aq). The equilibrium concentrations in a solution of AC5 were found to be [A] = 0. 100 M, [C] = 0. 0360 M, and [AC5] = 0. 100 M. Determine the formation constant, Kf, of AC5. The solubility of AB(s) in a 1. 000-M solution of C(aq) is found to be 0. 131 M. What is the Ksp of AB?
find the area of a circle . diameter =30cm . suction
Area of Circle = pi * r* r
Diameter = 2* r
Radius = 30/2 = 15 cm
pi = 3.14
Area of circle = 3.14 * 15 *15 = 707.14 cm ^2
How fast would a car have to go to overtake a bus in 5 hours if the bus averaged 40 mph and left 3 hours before the car
This means that the car needs to go at least 64 mph to overtake the bus in 5 hours, and it needs to cover the same distance as the bus did in those 3 hours, which is 120 miles.
To figure out the speed the car needs to go to overtake the bus in 5 hours, we first need to figure out how far the bus travels in those 5 hours.
Since the bus travels for 3 hours before the car starts, we can find the distance the bus travels in those 3 hours by using the formula:
distance = rate × time
where the rate is the speed of the bus, which is 40 mph, and the time is 3 hours.
So the distance the bus travels in those 3 hours is:
distance = 40 mph × 3 hours = 120 miles
Now, for the car to overtake the bus in 5 hours, it needs to cover the same distance the bus did in 3 hours plus some additional distance to get ahead of the bus. Let's call this additional distance "x".
So, the total distance the car needs to travel is:
total distance = 120 miles + x
Now we can set up an equation that relates the distances and speeds of the car and the bus:
distance covered by car = distance covered by bus + x
rate of car × time = rate of bus × time + x
where the rate of the bus is 40 mph, the time is 5 hours (since that's how long it takes for the car to overtake the bus), and the rate of the car is what we're trying to find.
Substituting the values we know:
rate of car × 5 hours = 40 mph × 8 hours + x
Simplifying:
rate of car = (40 mph × 8 hours + x) / 5 hours
We still need to find the value of "x". To do this, we can use the fact that the car overtakes the bus, which means that the distance covered by the car is greater than the distance covered by the bus:
distance covered by car > distance covered by bus
rate of car × time > rate of bus × time
rate of car × 5 hours > 40 mph × 8 hours
rate of car > 64 mph
So the car needs to go faster than 64 mph to overtake the bus in 5 hours.
To find the value of "x", we can substitute the rate of the car into the earlier equation:
rate of car × 5 hours = 40 mph × 8 hours + x
64 mph × 5 hours = 40 mph × 8 hours + x
320 miles = 320 miles + x
x = 0
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How do you find eigenvalues and eigenvectors of a matrix?
Identifying Eigenvalues and Eigenvectors, A should be a n x n matrix. By resolving the det(λI−A)=0 problem, first determine the eigenvalues of A. Find the fundamental solutions to (λI−A)X=0 to determine the fundamental eigenvectors X≠0 for each.
In linear algebra, a nonzero vector is said to have an eigenvector, or characteristic vector, when a linear transformation is applied to it; this characteristic vector only changes by a scalar amount. The scaling factor for the eigenvector is known as the associated eigenvalue, frequently represented by the symbol. Linear transformations are made intelligible by the usage of eigenvectors. Eigenvectors can be thought of as a non-directional stretching or compressing of an X-Y line chart. In mathematics, eigenvalues are regarded as the factor by which a transformation is stretched, whereas eigenvectors are the real non-zero eigenvalues that point in the direction stretched by the transformation. The direction of the transformation is negative if the eigenvalue is negative.
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Ms. Wimbley surveyed the middle school and found out that 70 students want to go to sky zone for the end of the year field trip. This represents 14% of the middle school. How many students are in the middle school?
Answer:
500
Step-by-step explanation:
If 700 is 14%, then x=100%
We do:
700=14%
x=100%
Then, we cross multiply to get
14x=7000
We divide 14 on each side, and get x=7000/14 which is x=500
So there are 500 total students in the middle school
Hope this helped you! If the answer is wrong, please tell me and I will correct it. Also, I would appriceate if you gave me a Brainliest. It means a lot to me :D
How much total money will Kiara have to pay back at the end of the 9 years?
Answer:
a= $29,505. it. is useful answer
Find a real general solution of the following equations (Problems 2-4): 2. (10 points) = 4x - dy dz 2xy T²+1' 3. (10 points) y" - 2y = 2e". 4. (10 points) z'y" + 3xy + 5y = 0
The equation provided seems to contain multiple variables and possibly partial derivatives, but it is not clear how they are related or what the equation represents.
The equation y" - 2y = 2e" represents a second-order linear homogeneous differential equation. To solve this equation, we can first find the characteristic equation by substituting y = e^(mx) into the equation:
m²e^(mx) - 2e^(mx) = 0
Simplifying the equation, we get:
m² - 2 = 0
Solving for m, we find the roots of the characteristic equation:
m₁ = √2
m₂ = -√2
The real general solution of the given differential equation is:
y(x) = C₁e^(√2x) + C₂e^(-√2x)
where C₁ and C₂ are constants determined by initial conditions or boundary conditions.
The equation z'y" + 3xy + 5y = 0 represents a second-order linear non-homogeneous differential equation. To solve this equation, we can use the method of variation of parameters. First, we find the complementary solution by solving the associated homogeneous equation z'y" + 3xy + 5y = 0. Then, we find a particular solution using the variation of parameters method.
Please provide further information or equations to obtain a real general solution for Problems 2-4.
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Apply De Morgan's law repeatedly to each Boolean expression until the complement operations in the expression only operate on a single variable. For example, there should be no xy¯ or x+y¯ in the expression. Then apply the double complement law to any variable where the complement operation is applied twice. That is, replace x¯¯ with x.
a. 1/ x + yz + u b. 1/x(y + 2)u c. 1/(x + y)(uv + x y) d. 1/xy + yz + xz
The simplified expression using De Morgan's law are a)x'y'z'u b)x'y'u c): x'y'u and d)x'y'z'+xy'z'+xyz.
The main idea is to simplify each Boolean expression by repeatedly applying De Morgan's law until each complement operation operates on a single variable.
Then, apply the double complement law to simplify the expression further. In the end, the simplified expression should contain only AND and OR operations without any complement operators acting on multiple variables.
a. 1/ x + yz + u can be simplified using De Morgan's law to: (x'y'z')u'. Then, applying the double complement law, we get the simplified expression as: x'y'z'u.
b. 1/x(y + 2)u can be simplified using De Morgan's law to: x'(y'+2')u'. Then, applying the double complement law, we get the simplified expression as: x'y'u.
c. 1/(x + y)(uv + xy) can be simplified using De Morgan's law to: (x'y')(u' + x'y'). Then, applying the double complement law, we get the simplified expression as: x'y'u.
d. 1/xy + yz + xz can be simplified using De Morgan's law to: (x'+y')(y'+z')(x'+z'). Then, applying the double complement law, we get the simplified expression as: x'y'z'+xy'z'+xyz.
In summary, to simplify Boolean expressions, we can apply De Morgan's law repeatedly and then use the double complement law to remove complement operators acting on a single variable twice.
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The cost of mailing a package is proportional to the weight of the package. The proportional relationship can be represented with the equation c = 0.8w, where c represents the total cost and w represents weight in ounces. A graph for the equation is shown. graph with x axis labeled weight in ounces and y axis labeled cost in dollars, with a line from 0 comma 0 going through 2 comma 1.6 Which of the following statements is true about the graph shown?
The correct statement regarding the proportional relationship c = 0.8w is given as follows:
The equation c = 0.8w is correctly represented by the graph.
What is a proportional relationship?A proportional relationship is a special case of a linear function, with slope represented by the constant of proportionality of k and intercept of 0.
When the two variables x and y are direct proportional, the output variable y is obtained as the multiplication of the input variable x by the constant of proportionality k, as follows:
y = kx.
In this problem, the equation is given as follows:
c = 0.8w.
In which:
c is the cost in dollars -> output -> y-axis of the graph.w is the weight in ounces -> input -> x-axis of the graph.For a input of 2, the output is given as follows:
c = 0.8 x 2 = 1.6.
Hence point (1,0.8) is in the graph, along with point (2,1.6).
Missing InformationThe statements are given as follows:
The equation c = 0.8w is correctly represented by the graph.The graph is incorrect and the line should go through the point (0.8, 1).The x-axis and y-axis are labeled incorrectly.The graph does not show a proportional relationship.More can be learned about proportional relationships at https://brainly.com/question/10424180
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A baseball organization is going to spend $4,590 to purchase all sweatshirts or all jackets for its players. Sweatshirts cost $34 each cost $54 each what is the greatest number of sweatshirts of jackets that the organization can purchase
The baseball organization can purchase a maximum of 135 sweatshirts or 85 jackets within their budget of $4,590.
To find the maximum number of sweatshirts or jackets, we divide the total budget by the cost per item.
Let's calculate the maximum number of sweatshirts the organization can purchase: 4590 / 34 = 135 sweatshirts.
Similarly, we can calculate the maximum number of jackets: 4590 / 54 = 85 jackets.
Since the organization wants to maximize the number of items they can purchase, they should choose the option with the greater quantity.
Therefore, the organization can purchase a maximum of 135 sweatshirts or 85 jackets within their budget of $4,590.
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Determine whether each figure has rotational symmetry, line symmetry, both, or neither.
regular hexagon
parallelogram
kite
scalene triangle
A regular hexagon has rotational symmetry and line symmetry. It can be rotated by 60 degrees, 120 degrees, 180 degrees, 240 degrees, 300 degrees, and 360 degrees to look the same.
It also has six lines of symmetry that divide it into identical halves.
A parallelogram has only line symmetry. It can be reflected across a vertical or horizontal line to look the same, but it cannot be rotated to look identical.
A kite has only line symmetry as well. It can be reflected across a line that goes through its two diagonals to look the same, but it cannot be rotated to look identical.
A scalene triangle has neither rotational nor line symmetry. It cannot be rotated or reflected to look identical.
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The probabilities of different newspapers having an advertisement on the front page are given in the table. What is the chance of seeing an advertisement on the front page if the newspaper is JKL?
Newspaper Advertisement
on Front Page
ABC
89. 4%
JKL
86. 3%
PQR
80. 5%
TUV
88. 7%
XYZ
89. 1%
Total
82. 4%
The probability of seeing an advertisement on the front page if the newspaper is JKL is 86.3%. Option 2 is the correct answer.
The table shows the probabilities of different newspapers having an advertisement on the front page, and we need to determine the probability of seeing an advertisement on the front page if the newspaper is JKL.
From the given data, we can see that the probability of an advertisement on the front page for JKL is 86.3%. Therefore, if we randomly select a newspaper and it happens to be JKL, then the probability of seeing an advertisement on the front page is 86.3%. This means that there is a high chance of seeing an advertisement on the front page of JKL compared to the other newspapers listed in the table.
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The question is -
The probabilities of different newspapers having an advertisement on the front page are given in the table. What is the chance of seeing an advertisement on the front page if the newspaper is JKL?
ABC = 89.4%
JKL = 86.3%
PQR = 80.5%
TUV = 88.7%
XYZ = 89.1%
Total = 82.4%
Answer Options:
1. 82.4%
2. 86.3%
3. 88.7%
4. insufficient data
Two angles are given as complementary. The larger angle is twice the measure of the smaller angle. What is the measure of the smaller angle?
Answer:
Complentary = angle add up to 90 degrees
let smaller angle = x
x+2x=90
3x=90
x=30
-----
30 is the measure of the smaller angle.
TRUE OR FALSEfor 95% of the samples from the population, the confidence interval we compute will contain the true mean.
The statement if true, for 95% of the samples from the population, the confidence interval we compute will contain the true mean.
In the given question we have to check whether the given statement is TRUE or FALSE.
The given statement is:
For 95% of the samples from the population, the confidence interval we compute will contain the true mean.
Because the underlying approach succeeds on 95% of random samples, we have a 95% confidence that this confidence interval contains the population mean.
Approximately 95% of the estimated intervals will contain the actual value of the population mean if samples are taken frequently and 95% confidence intervals are generated.
So the given statement is true.
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X = 2y + 3
y = 2x + 3
What are the values for x and y?
Answer:
You should use a calculator my friend.
Answer:
x = -3; y = -3
Step-by-step explanation:
x = 2y + 3
y = 2x + 3
x = 2(2x + 3) + 3
x = 4x + 6 + 3
-3x = 9
x = -3
y = 2x + 3
y = 2(-3) + 3
y = -3
Answer: x = -3; y = -3
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Two accounting professors decided to compare the variance of their grading procedures. To accomplish this, they each graded the same 10 exams, with the following results: Mean Grade Standard Deviation Professor 1 79.3 22.4 Professor 2 82.1 12.0 At the 2% level of significance, what is the decision
Based on the given data, the professors' grading procedures have different variances. To determine if the difference is statistically significant at the 2% level of significance, we can use a two-sample F-test. The F-statistic is calculated by dividing the larger variance by the smaller variance. In this case, the F-statistic is 2.97. Using a critical value of 5.05, we can reject the null hypothesis that the variances are equal. Thus, the decision is that there is a statistically significant difference in the variance of the professors' grading procedures.
In statistics, variance is a measure of the spread of a distribution. When comparing two variances, we can use a two-sample F-test to determine if they are statistically different. The F-statistic is calculated by dividing the larger variance by the smaller variance. If the calculated F-value is greater than the critical value, we reject the null hypothesis that the variances are equal.
In this case, the professors' grading procedures have different variances, with Professor 1 having a larger variance than Professor 2. Using a two-sample F-test, we determined that the difference in variances is statistically significant at the 2% level of significance. This means that there is strong evidence to suggest that the professors' grading procedures differ in their spread of grades.
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Explaining it thoroughly and you will be mark as Brainiest…
Answer: It says it right there
Step-by-step explanation:
create a video explaning
$32,000 is borrowed for 4 years. If the interest on the loan is $8,679.17, find the monthly payment.
The monthly payment is $(Round to the nearest cent as needed.)