The number of zinc in grams present in the chemical that contains zinc and copper in the ratio of 3 to 9 is 247 grams.
What is ratio?A ratio can be defined as the smallest fraction between two quantities in terms of their physical properties.
To calculate the grams of zinc the chemical contains, we use the formula below.
Formula:
m = M(a/A).............................. Equation 1Where:
m = Mass of zinc in the chemicalM = Mass of copper in the chemicala/A = Ratio of zinc to copperFrom the question,
Given:
M = 741 gramsa/A = 3/9 = 1/3Substitute these values into equation 1
m = 741(1/3)m = 247 gramsHence, the mass of zinc is 247 grams.
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The mean value of land and buildings per acre from a sample of farms is $1700, with a standard deviation of $200.
The data set has a bell-shaped distribution. Assume the number of farms in the sample is 71.
(a) Use the empirical rule to estimate the number of farms whose land and building values per acre are between
$1300 and $2100.
___farms (Round to the nearest whole number as needed.)
Answer:
The empirical rule states that for a bell-shaped distribution, approximately 68% of the data will fall within one standard deviation of the mean, approximately 95% of the data will fall within two standard deviations of the mean, and approximately 99.7% of the data will fall within three standard deviations of the mean.
In this case, the mean is $1700 and the standard deviation is $200.
So, one standard deviation of the mean is 1700+200= $1900 and 1700-200 = $1500.
Therefore, according to the empirical rule, approximately 68% of the farms will have land and building values per acre between $1500 and $1900.
To estimate the number of farms that fall within this range, we can multiply the total number of farms (71) by 0.68.
(71)*(0.68) = 48.68 or about 49 farms
So, according to the empirical rule, approximately 49 farms will have land and building values per acre between $1300 and $2100.
Answer two questions about Systems AAA and BBB
1) How can we get System BBB from System AAA?
2) Based on the previous answer, are the systems equivalent? In other words, do they have the same solution?
1. To get system B form A: C. Swap only the right-hand sides of both equations.
2. They are not equivalent systems.
How to Find the Solution to a System of Equations?The point of intersection of two equations of a system gives us the solution, which is the coordinate of that point.
If two systems are equivalent, then they will have the same solution or point of intersection.
1. To get system B from A, the values at the right hand side of both equations were swapped.
2. The graph of system A, -10x - 4y = 0 and -2y + 7y = 8 is given in figure 1. The solution is (-0.64, 1.6).
The graph of system B, -10x - 4y = 8 and -2y + 7y = 0 is given in figure 2. The solution is (-0.8, 0).
Therefore, the systems are not equivalent.
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The lines y = 5x -3 and y = ax +5 intersect when x = 13. What is the value of a?
Answer:
a= [tex]\frac{57}{13}[/tex]
Step-by-step explanation:
Find the value of y by subbing in x
y = 5x-3
y = 5(13) - 3
y = 62
Sub x and y into the 2nd equation, Solve for a
62 = a (13) + 5
62 = 13a + 5
57 = 13a
a= [tex]\frac{57}{13}[/tex]
three less than double of a number
Answer:
2x-3
Step-by-step explanation:
Not exactly sure what the question being asked is, but I assume its that you want this written out algebraically. Double a number can be represented by 2x, and 3 less can be represented by -3. Add these terms together and you get 2x-3.
QUICK PLEASE HELP!
A function is graphed.
On which interval is the function increasing and linear?
Option B x = -2 to x = 1 in this interval the function is increasing and linear
What does a function show as increasing and decreasing?
If the value of f(x) grows as the value of x increases, the function is said to be increasing; conversely, if the value of f(x) decreases as the value of x increases, the function is said to be declining.
To determine if a function is increasing or decreasing on an interval, we need to know the sign of its first derivative on that interval. To determine if a function is linear, we need to know if the function is of degree one.
A function that is linear is of degree one and the graph of a linear function is a straight line, where the slope of the line is the coefficient of x.
To determine if a function is linear and increasing or decreasing on an interval, we need to determine the sign of the first derivative of the function on that interval, if the first derivative is positive, the function is increasing, if it is negative, the function is decreasing.
Additionally, it is also important to consider the domain of the function, to ensure the function is defined on that interval.
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If y varies directly with x and y = 39 when x = 3, find y when x = 1.
Due to proportionality, y has a value of 13 when x = 1.
What is proportionality?In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one double, and both decrease in size when one drops to a tenth of its original value.
Given that If y varies directly with x and y = 39 when x = 3
Since x is directly proportional to the x
thus,
y ∝ x
we can write it in a ratio form
y₂ / y₁ = x₂ / x₁ (asked value of y at x = 1)
y₂ / 39 = 1/ 3
y₂ = 13
Therefore, the Value of y at x = 1 is 13 due to proportionality.
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The local hardware store is having a 15% off sale on lawnmowers this weekend X represents the original price of a lawn mower which answer Choice below shows two different Expressions that cold be used to find the price of any lawnmower pre-tax this weekend?
Answer:
X - X * 0.15 = 0.85X
X * 0.85 = X - X * 0.15
Both of these expressions can be used to find the price of any lawnmower pre-tax this weekend. The first expression calculates the price by subtracting 15% of the original price from the original price, and the second expression calculates the price by multiplying the original price by 85%.
PLEASE HELP MEEEEEEEEEEEEEEEEEE
Answer:
C, D, E
Step-by-step explanation:
Additive inverses is pretty much the same number, but one is positive and one is negative.
In this case C, D, and E would be it.
C; both are 7, but ones negative and ones positive
D; both are 20, but ones negative and ones positive
and same with E... both are 335, but ones negative and ones positive
8. 52 - 2? +3
2c-4d
if c = -1 and d = -4
problem on the photo
algebra
also do problems #10 and #12
On solving the provided questyion, As a result, the answer to the given function issue is k = 0.01238 and 24,390 years.
Describe function.One variable in a function is defined in terms of another. The phrase "Y is a function of x" (symbolized as y = y(x)) indicates that y varies according to the value that the x expression assumes. Despite the fact that it is usually asserted that "x causes y," this is not always the case.
Given : t = 2005 -2000 = 5 years
a=6.124
Population =a
[tex]6.515 = 6.124\\= > =6.515/ 6.124\\= > ln( 6.515/ 6.124 ) = 5k\\= > k = 0.01238[/tex]
[tex]7.5 = 6.124\\= > = 7.5/ 6.124\\= > t = 150/280\\= > t =24,390 years.\\[/tex]
Therefore , the solution to the given problem of function comes out to be
[tex]k = 0.01238 and 24,390 years.[/tex]
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If the basin is completely filled with water, how much water will it hold? round the answer to the nearest tenth of a foot. Ft3.
The amount of water that a basin holds depends on the size and shape of the basin.
The size and shape of a basin affects how much water it holds because it affects the surface area and volume of the basin. A basin with a larger surface area can hold more water than a basin with a smaller surface area. Similarly, a basin with a larger volume can hold more water than a basin with a smaller volume. For example, a shallow basin with a large surface area may be able to hold more water than a deep basin with a small surface area. Therefore, the size and shape of the basin will determine how much water it can hold.
The volume of a basin can be calculated by multiplying its length, width, and depth. For example, if a basin is 2 feet long by 1 foot wide by 1 foot deep, it would hold 2 cubic feet of water (2 x 1 x 1 = 2). Therefore, if the basin is completely filled with water, the answer would depend on its size and shape; it would need to be measured in order to calculate the exact amount of water it holds.
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In the absence of limiting factors, a population's growth follows a(n) _____ model.
a. geometric
b. exponential
c. logistic
d. mathematical
e. hypergeometric
Answer:
b- exponential
Step-by-step explanation:
right
You take an SRS of size 500 from the 37,000 students at Purdue University. You then take an SRS of size 500 from the 4,400,000 adults in the state of Indiana. The margin of error in a 95% confidence statement for the Indiana sample is (a) the same as for the Purdue sample because both are samples of size 500. (b) smaller than for the Purdue sample because the population is much larger. (c) larger than for the Purdue sample because the population is much larger. (d) either larger or smaller than for the Purdue sample because it changes at random when we taker a sample.
Option A is correct because margin of error depends on sample size.
What is margin of error?Your results will vary from the actual population value by how many percentage points, as indicated by the margin of error. A 95% confidence interval with a 4% margin of error, for instance, indicates that your statistic will, 95% of the time, be within 4% of the true population figure.
Given sample size = 500
total outcomes = 37,000
the margin of error in a 95% confidence
the margin of error is given by
Margin of error (statistic) = Critical value x Standard error of the sample.
so according to the given condition margin of error in a 95% confidence is same as for the Purdue sample because both are samples of size 500, because it depnds on sample size.
Hence option A is correct.
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if a is a set with a = { 2, 5, 7, 11 } then what is |(a xa) u a)|
The value of |(a x a) u a)| = 16, when a is a set with a = { 2, 5, 7, 11 }.
|(a x a) u a)| is the cardinality of the set obtained by the union of the cartesian product of a with itself, and a.
The cartesian product of a with itself is the set of all possible ordered pairs (x,y) where x and y are elements of a. Therefore, a x a = { (2,2), (2,5), (2,7), (2,11), (5,2), (5,5), (5,7), (5,11), (7,2), (7,5), (7,7), (7,11), (11,2), (11,5), (11,7), (11,11) }
The union of a x a and a is the set of all unique elements that belong to both sets. Since all elements of a are also in a x a, the union will have the same elements as a x a plus the elements of a. Therefore, (a x a) u a = { (2,2), (2,5), (2,7), (2,11), (5,2), (5,5), (5,7), (5,11), (7,2), (7,5), (7,7), (7,11), (11,2), (11,5), (11,7), (11,11), 2, 5, 7, 11 }
The cardinality of a set is the number of distinct elements it contains. The set (a x a) u a contains 16 distinct elements, therefore |(a x a) u a)| = 16.
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How do you dilate a line segment around a point?
You dilate a line segment around a point by following a simple procedure mentioned below that begins with identifying the center of a line segment.
Dilating a line segment around a point is a simple process. First, you need to identify the center of the line segment.
Then, use a ruler or other measuring device to measure the distance from the center of the line segment to each end point.
To dilate the line segment, multiply the measured distance by the desired scale factor. Finally, draw a new line segment connecting the two new end points.
This will give you the dilated line segment around the point you identified at the beginning.
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What is the measure of angle rst? 15° 75° 105° 165°
Answer:
The mesure of angle rst is 105
Answer:
105
Step-by-step explanation:
start by solving for x and then use what you know about the shape and it side to angle ratio
How much interest would $1,600 earn in 1 year at an annual rate of 3% compounded
annually? What would be the new balance?
48$ dollars would be the correct anwser
y>-²x+3
Line: Solid or Dashed?
Shade: Above or Below?
m=
b=
Are these points solution: (0,0)
(3,3)
(5,4)
On solving the provided question, we can say that - by doing the inequality equation, [tex]6x - 4 > 8 - 2x = > x > 3/2[/tex]
What is inequality?A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.
[tex]6x - 4 > 8 - 2x\\6x > -2x + 12\\8x > 12\\x > 3/2[/tex]
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rs.7500 for 1 year at 16% per annum compound at half yearly.
The sum or the compound interest were Rs. 10,089 & Rs. 2589, respectively, according to the supplied statement.
How is per annum calculated?Per year, as used in contracts, is used to describe ongoing duties, or those that take place continuously during the course of an agreement. For instance, if a customer pays 3% interest on a loan annually, it indicates that you will have to pay 3% more of the loan's principle each year until the deal is through.
Given : Initial principle amount (P) = Rs. 7500
Rate of interest (R) = 16% per annum
To find : Compound interest (C.I.) = ?
Solution :
It is given that Initial principle amount (P) = Rs. 7500
Rate of interest (R) = 16% per annum
Time (t) = 1 year = 2 ( ∵ Half Yearly)
We know the formula for Compound Interest,
Compound Interest (A) = [tex]P\left(1+\frac{R}{100}\right)^{n t}[/tex]
[tex]\begin{aligned}& =7500\left(1+\frac{16}{100}\right)^2 \\& =7500\left(\frac{100+16}{100}\right)^2 \\& =7500\left(\frac{116}{100}\right)^2\end{aligned}[/tex]
= 7500 * 1.345
= Rs. 10,089
Now, Compound interest = A - P
= 10,089 - 7500
= Rs. 2589
∴ Final amount = Rs. 10,089
Compound Interest = Rs. 2589
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The complete question is-
Calculate the amount and the compound interest on Rs. 7500 for 1 year at 16% p.a compounded half yearly
What is the result when the number 14 is decreased by 2%?
Answer:
Step-by-step explanation:
14 - (2% × 14) =
14 - 2% × 14 =
(1 - 2%) × 14 =
(100% - 2%) × 14 =
98% × 14 =
98 ÷ 100 × 14 =
98 × 14 ÷ 100 =
1,372 ÷ 100 =
Answer : 13.72
Answer:
Step-by-step explanation:
Find out the difference between the numbers, Decrease = Old value - New value. Step 2: Divide this 'decrease' by the old value and multiply it by 100. This makes the percent decrease in the formula , Percent Decrease = (Old Value - New Value) / Old Value] × 100]
CJ went to the market and bought 1.5 pounds of potatoes for dinner. He bought 2.5 times as many pounds of green beans. How many pounds of green beans did he buy at the market?
The pounds of green beans that CJ bought at the market will be 3.75 pounds.
How to illustrate the expression?In Mathematics, it is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.
In this case, CJ went to the market and bought 1.5 pounds of potatoes for dinner. He bought 2.5 times as many pounds of green beans.
Therefore, the pounds of green beans that he bought at the market will be:
= 1.5 × 2.5
= 3.75 pounds.
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A car travels 2.625 miles in 3.5 minutes at a constant speed. how far did the car travel in 5 minutes?
The car travels 3.75 miles in 5 minutes
GIVEN-
2.626 Miles in 3.5 mins
TO FIND-
Distance in 5mins
STEPS-
In 3.5 minutes it travels 2.625 miles
To find out how much it travels in only one minute, we divide 2.625 miles by 3.5 minutes
2.625/3.5 = 0.75 miles/minute
∵In m mins it traveled 0.75×m miles
since,distance d = 0.75 x m
∴In 5 mins it traveled 0.75x5 miles
=3.75miles
The car traveled 3.75 miles in 5 minutes
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A highlight table is used to _____.
Select an answer:
visualize the relative proportion of values in a table
emphasize the sort order of table values
hide values in a table that are equal to zero
colorize text based on a predefined color key
A highlight table is used to visualize the relative proportion of values in a table.
It is a way to present data in a graphical format that makes it easier to understand and compare the relative size of different categories.
It can be used to create a heatmap-like visualization that uses different colors or shades to indicate the relative frequency of values in a table. Highlight tables are useful for quickly identifying patterns and trends in large datasets, and for comparing the relative size of different categories of data.
They can also be used to compare data over time, or to compare data from different sources. Highlight tables can be created using various data visualization tools, such as spreadsheet software, data visualization libraries, or specialized data visualization software.
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Determine if the given equations are parallel, perpendicular or neither.
Equation 1: y = 8
Equation 2: x = −1
well, since one is a horizontal line and the other is a vertical line, Check the picture below.
11. (6 points)
Reasoning Complete the following proof by providing
the reason for each statement.
Giving 20 points
The triangles ΔWXP and ΔZYP are congruent with each other by SAS postulates. Then angle ∠3 is equal to angle ∠4 which is ∠3 = ∠4.
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°.
It is given that ∠1 = ∠2 and WX = YZ
XP = YP (Side opposite to equal angles)
Then the triangles ΔWXP and ΔZYP are congruent with each other by SAS postulates.
The corresponding sides of the congruent triangles are equal. Then we have
WP = ZP
Then the corresponding exterior angles of the congruent triangles are also equal. Then we have
∠3 = ∠4
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Ria’s age is x years old.Jai’s age is x/2 + 5.If Jai is elder than Amit,which of these could be the possible relation between Amit’s and Ria’s age?
Answer:
Ria is older than Amit
Step-by-step explanation:
x is ria's age
x = 1/2 x + 5
(subtract 1/2 x from both sides)
1/2 x = 5
(divide by 1/2)
x = 10
Ria is 10
x/2 + 5 is Jay's age
10/2 + 5 = 10
Ria and Jay are the same age, so if Jay is older than Amit, Ria is as well.
Please help thank you
Answer:
m= .5/5
Step-by-step explanation:
find the difference between the top 2 points in the y column then find the difference between the top 2 points of the x column then put the answer for y over the answer for x and you find the slope
The value of y varies jointly with the values of x and z. When and , the value of y is. What is the value of y when and ?.
The value of y when x = 4, z = 6 is 24.
The equation for the relationship between y, x and z is y = xz.
Given that x = 2 and z = 3, we have y = 2 * 3 = 6.
Therefore, when x = 4 and z = 6, y = 4 * 6 = 24.
The relationship between y, x and z can be expressed as y = xz, which means that the value of y is proportional to the values of x and z. When the values of x and z are given, we can calculate the value of y based on this equation. For example, when x = 2 and z = 3, the value of y is 2 * 3 = 6. Similarly, when x = 4 and z = 6, the value of y is 4 * 6 = 24. In general, when the values of x and z are given, the value of y can be determined by multiplying the values of x and z. Therefore, when x = 4 and z = 6, the value of y is 24.
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a 1.00 l solution saturated at 25∘c with lead(ii) iodide contains 0.54 g of pbi2.
The Ksp of the lead II iodide is 6.4 * 10^-9.
What is the solubility product?We know that the solubility product has to do with the amount of the solute that we can be able to find that has dissolve in the saturated solution form the data that we have from the question that is given.
Now we know that;
Number of moles of the solute = mass/ molar mass
= 0.54 g/461 g/mol
= 1.17 * 10^-3 moles
Molarity = 1.17 * 10^-3 moles/ 1 L
= 1.17 * 10^-3 M
Then Ksp = [x] [2x]^2
Ksp = 4x^3
Ksp = 4( 1.17 * 10^-3 )^3
Ksp = 6.4 * 10^-9
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3. A music store sells a guitar for $45. If the local sales tax is 6%, what is the total cost of the guitar, including tax? Do NOT use a dollar sign in your
Answer:
£42.30
Step-by-step explanation:
6% of £45 = 2.7
£45-£2.70=£42.30
When you say don't use the dollar sign do you mean I should convert from dollars to pounds?
1) Solve for d.
d+ 8 = -d - 10
-
d=
The value of d is -9.We can find by both sides solving for d.
What is subtraction and example?Subtraction means you are taking something away from a group or number of things. When you subtract what is left in the group becomes less. An example of a subtraction problem is the following: 5 - 3 = 2.
How do you solve for both sides?First we add and subtract same terms to get the variables on one side and the constants on the other.Then multiply or divide to isolate the variable.In the last solve for given variables.You must perform the same exact operation to each side of the equation.
Now we have
d+8=-d-10
d+d = -10-8
2d= -18
d= -9
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