Answer:
d = 0.0175n ---> required equation
Billy can buy 285.714 gram nut with $5
Step-by-step explanation:
cost of 100g loose nut = $1.75
dividing LHS and RHS by 100
cost of 100/100g loose nut = $1.75
Thus, cost of 1 gm loose nut = $0.0175
let the weight of loose nut be n gm
Multiplying LHS and RHS by n
cost of x g loose nut = $0.0175*n = $0.0175n
It is given that Billy spent d dollars to buy n gm nuts
thus,
d = 0.0175n ---> required equation
________________________________________________
He spent $5 to buy nuts
substituting value of d as 5 we have
0.0175n = 5
=>n = 5/0.0175 = 285.714
Thus, Billy can buy 285.714 gram nut with $5.
How much wood does it take to make a storage box that is
4 feet square on the bottom and 3 feet high, with a lid? Do
not count overlap.
A.80 ft
B.80 ft2
C.48 ft3
D.48 ft2
Ali and Mel are making 3-digit codes.
The digit 0 is not used.
Ali only uses odd digits.
Mel only uses even digits.
Ali can make x more codes than Mel.
Assume that digits cannot be repeated.
Work out the value of x.
Answer:
x = 36
Step-by-step explanation:
You want to know how many more 3-digit codes can be made from odd numbers than from even numbers if 0 is excluded and no digit can be repeated.
Code countThe number of possible codes will be the product of the number of available digits for each position in the code.
There are 5 odd digits, so Ali has 5 available digits for the first position, 4 for the next, and 3 for the last. (Using a digit makes it unavailable for a different position.) Ali can make 5·4·3 = 60 codes
There are 4 even digits when 0 is excluded, so Mel has 4 available digits for the first position, 3 for the next, and 2 for the last. Mel can make 4·3·2 = 24 codes.
DifferenceAli can make x more codes than Mel, where ...
x = 60 -24 = 36
jennifer worked 15 hours last week and made 7.85 per hour. if her paycheck was for 102.75 how much was withheld from her gross pay for taxes
Answer:15
Step-by-step explanation:
If A = (1, 2, 3) and B = (1, 2, 3, 4, 5, 6, 7, 8) then A u B
Answer:
{1, 2, 3, 4, 5, 6, 7, 8}
Step-by-step explanation:
\(A \cup B\)
represents the union of sets A and B (the set of all elements in at least one of the sets).
PLS HELP ME FAST I NEED IT FOR A TEST
The surface area of the triangular base prism is 174 ft².
How to find the surface area of the prism?The prism above is a triangular prism. Therefore, let's find the surface area of the triangular prism as follows:
The prism has two triangular faces and three rectangular faces.
Therefore,
area of the triangle = 1 / 2 bh
where
b = baseh = heightTherefore,
area of the triangle = 1 / 2 × 6 × 4
area of the triangle = 24 / 2
area of the triangle = 12 ft²
Therefore,
area of the rectangle = l × w
where
l = lengthw = widthHence,
area of the rectangle = 8 × 5 = 50 ft²
Surface area of the triangular prism = 12(2) + 3(50)
Surface area of the triangular prism = 24 + 150
Surface area of the triangular prism = 174 ft²
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solving linear systems graphically .
Answer:
D- points on one side of one of the lines
Step-by-step explanation:
I may be wrong but I believe I am correct
Suppose that 40% of all adults regularly consume coffee, 65% regularly consume carbonated soda, and 75% regularly consume at least one of these two products.
(i) The probability of a randomly selected adult consuming both coffee and soda regularly will be given by: P(A ∩ B) = 0.30.
(ii) The probability of a randomly selected adult not consuming at least one out of coffee and soda regularly is given by: P((A ∪ B)') = 0.25.
What is probability of an event?
The probability of an event refers to the chances of occurrence of an event.
P(E) = Chances of occurrence of an event E = \(\frac{Number Of Favorable Outcomes Of Event E}{Total Number Of Possible Outcomes}\)
Step-by-step explanation:
Given:
40% of all adults regularly consume coffee, 65% regularly consume carbonated soda, 75% regularly consume at least one of these two products.Now let A = Event that an adult consumes coffee
B = Event that an adult consumes carbonated soda.
Then,
P(A) = probability of the occurrence of A = 0.40P(B) = 0.65P(A ∪ B) = 0.75(i): Now, we know that:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
=> P(A ∩ B) = P(A) + P(B) - P(A ∪ B)
∴ P(A ∩ B) = 0.40 + 0.65 - 0.75 = 0.30
Hence, the probability of a randomly selected adult consuming both coffee and soda regularly is 0.30.
A(ii): Now, we know that:
P((A ∪ B)') = 1 - P(A ∪ B)
∴ P((A ∪ B)') = 1 - 0.75 = 0.25
Hence, the probability of a randomly selected adult not consuming at least one out of coffee and soda regularly is 0.25.
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Solve for n. 10n = 6 Simplify your answer as much as possible.
Shelley's science class is heading to Wild Land Zoo on a field trip. The zoo offers a group rate for students that is $8 less per person than the normal cost. There are 25 students in Shelley's science class. Her teacher called ahead and found that the total cost for the class will be $400.
Which equation can Shelley use to find x, the normal cost per person?
The normal cost per person based on the forming and solving equation 400 = 25(x - 8) is $24.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation.
Suppose the normal cost per person is x.
Cost per person = x - 8
Number of students = 25
Total cost = number of students × cost per person
Total cost = 25(x - 8)
400 = 25(x - 8)
400 = 25x - 200
400 + 200 = 25x
x = 600/25
x = $24
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Find the measure of angle x.
A.24
B.27
C.63
D.65
Please answer in an hour! You will get a thumbs up.
Question 1 (a)
Assume you purchase a new tractor on Jan 1, 2022 for a cost of $200,000. You estimate you will be able to use the tractor for 10 years, and it will have a salvage value of 10% of the original by the end of its useful life. Determine the book value at the end of the first year (December 31, 2022) using straight-line depreciation.
options:
$18,000
$180,000
$185,000
$182,000
Question 1 (b)
A balance sheet (using current and noncurrent assets and liabilities- no intermediate) shows that a farmer has current assets of $80,000 and owner equity of $100,000. Her current ratio is 2 and her debt/equity ratio is 1.0. Determine the farmer's noncurrent liabilities.
Question 1 (b) options:
$40,000
$60,000
$100,000
unable to determine
Question 1a
To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:
Annual Depreciation = (Cost - Salvage Value) / Useful Life
Substituting the given values, we get:
Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year
This means that the tractor will depreciate by $18,000 each year for the next 10 years.
To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:
Depreciation Expense for Year 1 = $18,000
Therefore, the book value of the tractor at the end of the first year will be:
Book Value = Cost - Depreciation Expense for Year 1
= $200,000 - $18,000
= $182,000
So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D
Question 1(b)
To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:
Calculate the total current liabilities using the current ratio:
Current Ratio = Current Assets / Current Liabilities
2 = $80,000 / Current Liabilities
Current Liabilities = $80,000 / 2
Current Liabilities = $40,000
Calculate the total liabilities using the debt/equity ratio:
Debt/Equity Ratio = Total Liabilities / Owner Equity
1.0 = Total Liabilities / $100,000
Total Liabilities = $100,000 * 1.0
Total Liabilities = $100,000
Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:
Noncurrent Liabilities = Total Liabilities - Current Liabilities
Noncurrent Liabilities = $100,000 - $40,000
Noncurrent Liabilities = $60,000
Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.
A car corporation produced 940
fewer cars this month than last.
Write a signed number to represent this month's change in production
The signed number to represent ''A car corporation produced 940 fewer cars this month than last'' is - 940.
What is meant by signed number representations ?Negative integers in binary number systems must be encoded in computation using signed number representations.In mathematics, negative integers in any base are denoted by a minus sign ("-") before them. However, numbers are solely represented as bit sequences, without any additional symbols, in RAM or CPU registers. The four most popular ways to express signed integers using the binary numeral system are offset binary, ones' complement, two's complement, and sign-magnitude. Some of the other techniques, such negative binary with the base 2, employ implicit signs rather than explicit ones. For different bases, whether positive, negative, fractional, or other elaborations on such themes, corresponding algorithms can be developed.Learn more about signed number refer to :
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Select all the equations where x = 4 is a solution.
PLS HURRY
Answer:
A and D
Step-by-step explanation:
my brain said so
Answer:
a and d
Step-by-step explanation:
:)
4+4=8
5(4)=20
find the scale of a map. 50 km in real disstance is 2dm on a map
The scale of the map is 1 dm : 25 km
How to determine the scale of the map?From the question, we have the following parameters that can be used in our computation:
Mathematical statement
The mathematical statement is given as
50 km in real distance is 2dm on a map
The scale is then calculated as
Scale = Map distance : Actual distance
Substitute the known values in the above equation, so, we have the following representation
Scale = 2 dm : 50 km
Divide by 2
Scale = 1 dm : 25 km
Hence, the scale is 1 dm : 25 km
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Find the area of the shaded regions.
The largest circle has radius OP = 8 cm, the next largest circle has radius AO = 4 cm, and the smallest circle has diameter AB = 4 cm so its radius has length 2 cm.
These circles have respective areas of 64π cm², 16π cm², and 4π cm².
The area of the shaded region is then
64π cm² - 16π cm² + 4π cm² = 52π cm²
Hi, can you help me to solve this problem please!
f(12) will be: substituting 12 into the expression above
\(\begin{gathered} f(12)=\frac{12}{2}-5 \\ =6-5 \\ =1 \\ Final\text{ answer:} \\ f(12)=1 \end{gathered}\)A six-sided die (with numbers 1 through 6) and an eight-sided die (with numbers 1 through 8) are rolled. What is the probability that exactly one 6 is rolled
The probability that exactly one 6 is rolled is 42.9%
Rolling a six-sided dice and an eight-sided die can yield a variety of results. The probability of rolling exactly one 6 out of the two dice is 6/14, or approximately 42.9%.
This is calculated by taking the total number of ways to roll one 6 (6) and dividing it by the total number of combinations possible (14). This means that there is a 42.9% chance of rolling one 6 when two dice are rolled.
The probability will be calculated by:
6/14
= 0.429
0.42× 100
=42.9
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PLEASE HELP ASAP!!! i’ll mark brainlest
Answer:
B. 7 = n + 4
Step-by-step explanation:
7 dogs
4 doberman
n Non doberman
7 - 4 = n
so B. 7 = n + 4
pls explain this to me
Answer:
Step-by-step explanation:
there are two polygons each the same.The perimeter of the smaller polygon is 66 feet and the ratio of the corresponding side lengths are 3/4 the size of the 66feet. find the perimeter of the other polygon remember they are the same.
I need help. Someone pls answer this for me, I dont understand at all ._. Perfect square and cubes
Answer:
the answer is e and d
Step-by-step explanation:
x squared=36/121
x squared square root =6/11
find the area under the normal curve to the left of z plus the area under the normal curve to the right of z. the combined area is
One is the sum of the areas under the normal curves to the left and right of z.
For a normal distribution, the total area under the curve is 1. Therefore, if we can find the area to the left of z, we can subtract it from 1 to find the area to the right of z.
The area to the left of z can be found using a standard normal distribution table or a calculator. For example, if z is 1.5, the area to the left of z is 0.9332.
The area under the entire normal curve is 1. Therefore, the area to the left of z plus the area to the right of z must add up to 1.
Visually, we can think of the normal curve as being symmetric about its mean, which is located at \(z = 0\). As a result, the area to z's left and right are equal. Area to the left of z plus Area to the right of z equals
\(1/2 + 1/2 = 1\) as a result.
\(1 - 0.9332 = 0.0668\)
Therefore, the combined area is:
\(0.9332 + 0.0668 = 1\).
This supports the notion that the entire area under the normal curve is 1.
As a result, the area under the normal curve to the left of z plus the area to the right of z together equal one.
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The following information should be taken into consideration to answer this item: If the scores of 400 subjects in a psychological scale have been distributed normally with the mean score of 100 and standard deviation of 15: The Z score that equivalent to the raw score 92.5 is.... A.+ 0.5 B. -1.25 C.-0.5 D.-0.25
The Z score that is equivalent to the raw score 92.5 is B. -1.25.
A Z score represents the number of standard deviations a raw score is from the mean in a normal distribution. To calculate the Z score, we use the formula: Z = (X - μ) / σ, where X is the raw score, μ is the mean, and σ is the standard deviation.
Given that the mean score is 100 and the standard deviation is 15, we can calculate the Z score for the raw score 92.5 as follows:
Z = (92.5 - 100) / 15
Z = -7.5 / 15
Z = -0.5
Therefore, the Z score that is equivalent to the raw score 92.5 is -0.5.
The Z score is a useful measure in statistics that allows us to standardize and compare data points across different distributions. It helps us understand the relative position of a data point within a distribution and determine how unusual or typical that data point is compared to others. By calculating the Z score, we can easily determine the percentage of data points that fall below or above a particular value in a normal distribution, which aids in making statistical inferences and drawing conclusions.
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to graph an exponential, you need to plot a few points, and then connect the dots and draw the graph. where do you come up with the values to use in the graph
When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.
The T-chart employs positive real numbers since this is the most typical form of exponential function.
Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.
The exponential function can be represented by the following equation:
\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.
When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.
The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.
Therefore, the correct answer is option A.
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Latisha found an apartment that she wants to rent. the rent is $675 per month and there is a security deposit of $325. to move in, latisha must have first month's rent, last month's rent and the security deposit. how much does latisha need to move in?
a. $1,000
b. $1,325
c. $1,675
d. $2,000
please select the best answer from the choices provided a b c d
Latisha needs to pay first month's rent ($675), last month's rent ($675), and the security deposit ($325), which totals $1,325.
Latisha needs to pay a total of $1,325 to move into her new apartment. This includes the first month's rent of $675, the last month's rent of $675, and the security deposit of $325. This total amount must be paid before Latisha can move in and enjoy her new place. In addition to the up-front costs for move-in, Latisha will also need to be prepared to pay her rent each month and maintain her security deposit in case there are any damages to the apartment. Paying the move-in costs is the first step to ensure that Latisha can enjoy her new home.
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if a 4 by 4 matrix has det a = ½, find det(2a) and det(-a) and det(a2 ) and det(a-1 )
- det(2A) = 8
- det(-A) = 1/2
- det(A^2) = 1/4
- det(A^-1) = 2
To find the determinants of the given matrices, follow these steps:
1. det(2A): Multiply the original determinant by the scalar raised to the power of the matrix size.
det(2A) = 2^n * det(A) = 2^4 * (1/2) = 16 * (1/2) = 8.
2. det(-A): Multiply the original determinant by the scalar raised to the power of the matrix size.
det(-A) = (-1)^n * det(A) = (-1)^4 * (1/2) = 1 * (1/2) = 1/2.
3. det(A^2): Raise the original determinant to the power of 2.
det(A^2) = (det(A))^2 = (1/2)^2 = 1/4.
4. det(A^-1): Invert the original determinant.
det(A^-1) = 1/det(A) = 1/(1/2) = 2.
In summary:
- det(2A) = 8
- det(-A) = 1/2
- det(A^2) = 1/4
- det(A^-1) = 2
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Write an algebraic model based off this numerical model
Step-by-step explanation:
T0 = a³+4
T1 = a⁴x a¹ +4
T2= a³ + a³ + 4
T3= a⁴ + a⁴* a² + 4
T4= a⁴ + a⁴ x a¹ + 4
T5= a³ + a³ + a⁴+4
Answer:
hello,
Step-by-step explanation:
c(1)=5
c(2)=9
c(2)-c(1)=9-5=4
c(2)=9
c(3)=13
c(3)-c(2)=13-9=4
c(3)=13
c(4)=17
c(4)-c(3)=17-13=4
c(4)=17
c(5)=21
c(5)-c(4)=21-17=4
for n=1,2,...,k :
c(n+1)-c(n)=4 and c(n+1)=4*(n+1)+1=4n+5
c(1)=1
Given the equation y = 3(2)x
Regarding the exponential function y = 3(2)^x, we have that:
We know that the graph has a y-intercept at (0,3), because the a-value is of 3.We know that the graph models exponential growth, because the b-value is of 2.The numeric value of the function at x = 3 is given as follows: 24.What is the exponential function?An exponential function is defined as follows:
y = ab^(x/n).
In which the parameters are defined as follows:
a is the initial value.b is the rate of change.n is the time needed for the rate of change.The function for this problem is given as follows:
y = 3(2)^x.
Hence the parameters are given as follows:
a = 3 -> y-intercept at (0,3).b = 2 > 1, hence exponential growth.At x = 3, the numeric value of the function is obtained as follows:
y = 3 x 2^3
y = 3 x 8
y = 24.
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Which two operations are needed to wrte the expression that represents Fournes heerence of a number and three? mult cation and subtraction Komision and subtraction Cmu tip cation and addition division and addition
Answer:
CMU+the curcumin of three is Fournes
Step-by-step explanation:
Please help me with this math problem
Answer:
-1/3g + 1/3
Step-by-step explanation:
consider two hexadecimal numbers: x434f4d50 and x55544552. what values do they represent for each of the five data types shown?
The values they represent for each of the five data types shown are below.
What is hexadecimal numbers?
The base-16 numbering scheme is known as hexadecimal. Consequently, this system uses the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 15. That implies that the two-digit decimal numbers 10, 11, 12, 13, 14, and 15 cannot exist in this numbering system unless they are represented by a single numeral.
For x434F4D50
Unsigned binary - 0000 0100 0011 0100 1111 0100 1101 0101 0000
1's complement - 1111 1011 1100 1011 0000 1011 0010 1010 1111
2's complement 1111 1011 1100 1011 0000 1011 0010 1011 1111
IEEE 754 Floating point - 207.302001953125
ASCII string -COMP
For x55544552
Unsigned integer: 0000 0101 0101 0101 0100 0100 0101 0101 0010
1's complement 1111 1010 1010 1010 1011 1011 1010 1010 1101
2's complement1111 1010 1010 1010 1011 1011 1010 1010 1110
IEEE floating point 1.4587137097728E13
ASCII string: UTER
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