The way that the Three-Fifths Compromise affected the 1790 census results was B. Enslaved persons in each state were counted as three-fifths of a person.
What was the Three - Fifths Compromise ?A settlement known as the "three-fifths compromise" was reached at the 1787 Constitutional Convention and permitted Southern states to count some of their enslaved population as three-fifths of a person for taxes and representational purposes. This first happened in the 1790 census results.
Many of the Founding Fathers recognized that slavery went against the ideal of liberty that was at the heart of the American Revolution, but they were unable to act decisively to end it because they were dedicated to the sanctity of private property rights, the ideas of limited government, and the pursuit of intersectional harmony.
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Choose as many answers as apply.
According to the lesson, things you can do to help you decide on a bank include:
compare interest rates
determine which bank has the most attractive buildings
ask friends where they bank
visit two or three branch office
Some things you can do to help you decide on a bank include:
Ask friends where they bankVisit two or three branch officesCompare interest ratesWhy are these important?When trying to locate a bank that offers competitive returns on savings and favorable borrowing costs, consider comparing interest rates.
To gather additional information about certain banks, why not solicit feedback from acquaintances? People who have personal experience with a particular bank can provide valuable insights into their satisfaction levels with regards to customer service, for example.
Finally, taking the time to visit branch offices can offer valuable clues regarding convenience level and overall atmosphere.
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What is an equation of the line that passes through the points (-6, 5) and (6, 7)?
Answer:
\(y=\frac{1}{6}x+6\)
Step-by-step explanation:
Let \((x_1,y_1)\rightarrow(-6,5)\) and \((x_2,y_2)\rightarrow(6,7)\)
Determine slope
\(m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{7-5}{6-(-6)}\\ \\m=\frac{2}{6+6}\\ \\m=\frac{2}{12}\\ \\m=\frac{1}{6}\)
Use either ordered pair to find the y-intercept
\(y=mx+b\\\\7=\frac{1}{6}(6)+b\\\\7=1+b\\\\6=b\)
Final equation
\(y=\frac{1}{6}x+6\)
PLEASE HELP::
Two mechanics worked on a car. The first mechanic worked for 15 hours, and the second mechanic worked for 5 hours. Together they charged a total of $1850. What was the rate charged per hour by each mechanic if the sum of the two rates was $180 per hour?
The rate charged per hour for each mechanic is given as follows:
First mechanic: $95.Second mechanic: $85.How to obtain the rates?The rates are obtained solving a system of equations, for which the variables are given as follows:
Variable x: rate charged by the first mechanic.Variable y: rate charged by the second mechanic.Together they charged a total of $1850, hence, considering the number of hours, we have that:
15x + 5y = 1850.
3x + y = 370 (simplifying by 3).
The sum of the two rates was $180 per hour, hence:
x + y = 180.
Subtracting the first equation by the second, we can solve for x as follows:
2x = 190
x = 190/2
x = $95.
Hence the solution for y is given as follows:
y = 180 - x
y = 180 - 95
y = $85.
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PLEASE SOLVE THE QUESTION BELOW
9514 1404 393
Answer:
(3.5, 4.5)
Step-by-step explanation:
That point will be the midpoint of either diagonal.
(A +C)/2 = ((-1, 3) +(8, 6))/2 = (-1+8, 3+6)/2 = (7, 9)/2 = (3.5, 4.5)
The center of the rhombus is (3.5, 4.5).
Write this number in scientific notation.
.00000092
[?] ×
]
The number in scientific notation is 9.2 × 10^-7.
How to convert the numberFrom the question, we have the following parameters that can be used in our computation:
Number = .00000092
The number of points from the initial position to a point between 9 and 2 is -7
This means that the coefficient is 9.2 and the power of ten is -7
So, we have
9.2 × 10^-7.
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Answer:
10^(-7)
Step-by-step explanation:
put first non-zero number, then decimal, then rest of numbers as so
9.2
multiply by +/- depending on where decimal is
9.2*10^(-7)
so 10^(-7)
In which number is the digit 4 ten times larger than in the number 384?
O 842
O 954
O 1,469
O 4,216
The number 842 is the number whose digit 4 is ten times larger than in the number 384
Finding the numberTo solve the problem, we need to find a number in which the digit 4 is ten times larger than in the number 384.
In the number 384, the digit 4 is in the ones place, which means that its value is 4.
To find a number in which the digit 4 is ten times larger, we need to find a number in which the digit 4 is in the tens place and its value is 10 times larger than 4, which is 40.
The only answer option that fits this description is 842. In this number, the digit 4 is in the tens place and its value is 40, which is ten times larger than its value in the number 384.
Therefore, the correct answer is 842.
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Simplify (w3)4•(w5)2
Answer:
\(w^{22}\)
Step-by-step explanation:
\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)
PRETTY PLEASE HELP ME! this is 4 a test and i’m rlly struggling :/
–25(15 – 20d + 5c)
help please
Answer:
-375 + 500d - 125c
Step-by-step explanation:
Multiply everything by -25. Also keep in mind that 2 negatives make a positive. You can't simplify any further since each numbers have different variables.
Answer:
Step-by-step explanation:
-375 + 500d - 125c
Hope that helps! :)
A stalrcase handrall Is made from congruent parallelograms. In PORS, PO = 175, ST = 18, and m2
ORS = 110°. Find RS. Complete the explanation
Answer:
<SPQ = 110°
Step-by-step explanation:
<QRS = 110°
<SPQ = <QRS ( BEING OPPOSITE ANGLES OF PARALLELOGRAM)
<SPQ = 110°
PLEASE MARK ME THE BRAINLLEST
The sum of two numbers is 40. One number is 4 less than the other. Find the numbers
M&M plain candies come in various colors. According to the M&M/Mars Department of Consumer Affairs, the distribution of colors for plain M&M candies is as follows.
Color Purple Yellow Red Orange Green Blue Brown
Percentage 17% 18% 17% 7% 6% 10% 25%
Suppose you have a large bag of plain M&M candies and you choose one candy at random.
a. Find P(green candy or blue candy).
b. Are these outcomes mutually exclusive? Why?
Answer:
\(P(Green\ candy\ or\ Blue\ candy) = 0.16\)
Yes, they are mutually exclusive
Step-by-step explanation:
Given
Refer to the table in the question
Solving (a): P(green candy or blue candy)
This is calculated as:
\(P(Green\ candy\ or\ Blue\ candy) = P(Green) + P(Blue)\)
From the question:
\(P(Blue) = 10\%\)
\(P(Green) = 6\%\)
So:
\(P(Green\ candy\ or\ Blue\ candy) = P(Green) + P(Blue)\)
\(P(Green\ candy\ or\ Blue\ candy) = 6\% + 10\%\)
\(P(Green\ candy\ or\ Blue\ candy) = 16\%\)
Convert to decimal
\(P(Green\ candy\ or\ Blue\ candy) = 0.16\)
Solving (b): Are they mutually exclusive?
Multiple events A and B are mutually exclusive if;
\(P(A\ or\ B) = P(A) + P(B)\)
In (a) above:
\(P(Green\ candy\ or\ Blue\ candy) = P(Green) + P(Blue)\)
and this is so every other possible colour of candy
e.g.
\(P(Red\ or\ Yellow) = P(Red) + P(Yellow)\)
Hence:
The events are mutually exclusive
Part 1 of 2
Evaluate the function f(x)=x-7 at the given value of the variable.
a. f(13)
b. f(3)
Answer:
a)
b)-4
Step-by-step explanation:
a) f(13) = 13-7=
b) f(3)= 3-7= -4
find dy/dx and d2y/dx2, and find the slope and concavity (if possible) at the given value of the parameter. (If an answer does not exist, enter DNE.) Parametric Equations Point x = 6 cos θ, y = 6 sin θ θ = π/4
find:
dy/dx=
d^2y/dx^2 =
slope
concavity:
The value of dy/dx is -cotθ, d^2y/dx^2 is -6cosec³θ, slope is -cotθ, concavity is -6cosec³θ.
Parametric Equations Point x = 6cosθ, y = 6sinθ and θ = π/4
We have to determine the value of dy/dx.
We can define dy/dx as;
dy/dx = (dy/dθ)/(dx/dθ)
We first define dy/dθ and dx/dθ.
x = 6cosθ y = 6sinθ
dx/dθ = -6sinθ dy/dθ = 6cosθ
Now put the value
dy/dx = 6cosθ/(-6sinθ)
dy/dx = -cotθ
Now we have to determine the value of d²y/dx².
d²y/dx² = d/dx(dy/dx)
We can write it as
d²y/dx² = \(\frac{\frac{d}{d\theta}(\frac{dy}{dx})}{dx/d\theta}\)
We first determine the value of d/dθ(dy/dx)
d/dθ(dy/dx) = d/dθ(-cotθ)
d/dθ(dy/dx) = cosec²θ
Now put the value
d²y/dx² = cosec²θ/(-6sinθ)
d²y/dx² = -6cosec³θ
Now we have to determine the slope.
Slope = dy/dx
Slope = -cotθ
Now we have to determine the concavity.
Concavity = d²y/dx²
Concavity = -6cosec³θ
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Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?
Chay can use 3 bags of mulch per flower bed.
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.
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the probability that a student selected in our class will pass mathematics test is 2/3 how many students are likely to feel mathematics in the art class with 69 students
Out of 69 students in the art class, around 23 are expected to fail the mathematics test, assuming the probability of passing given is 2/3.
To determine how many students are likely to fail mathematics in the art class, we need to use the given probability of passing the mathematics test, which is 2/3.
First, let's find the probability of failing the mathematics test. Since passing and failing are complementary events (i.e., if the probability of passing is p, then the probability of failing is 1 - p), we can calculate the probability of failing as 1 - 2/3, which simplifies to 1/3.
Now, let's consider the art class, which has a total of 69 students. If the probability of failing mathematics is 1/3, then approximately 1/3 of the students in the art class are likely to fail the mathematics test.
To find the number of students likely to fail, we multiply the probability of failing (1/3) by the total number of students in the art class (69).
(1/3) * 69 ≈ 23
Therefore, approximately 23 students are likely to fail mathematics in the art class of 69 students based on the given probability of passing the mathematics test.
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What is a probability ?
A number that measures the likelihood that the event will occur.
An activity involving chance in which results are observed
An observation of an experiment
The result of an experiment
Answer:
A number that measures the likelihood that the event will occur.
Step-by-step explanation:
Probability is a measure of the frequency of occurrence of a phenomenon, the value of which can be expressed qualitatively or quantitatively. Probability is quantified as a real number between 0 and 1, although sometimes probability is also expressed as a percentage. The probability is 0 when the event cannot or will never happen, and the probability is 1 when it happens for sure or it always happens. If the probability is between these values, the event is not common and its occurrence is uncertain. The higher the probability value, the more common the event is or the more certain it will occur.
At the Dream Cone ice cream shop, there are
540 ways to make an ice cream sundae
consisting of one flavor of ice cream, one
topping, and one type of syrup. If there are 9
ice cream flavors and 5 types of syrup, how
many toppings are there?
Answer:
12 toppings
Step-by-step explanation:
5*9=45
540/45=12
The number of toppings in the ice cream cone are 9.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, there are 540 ways to make an ice cream sundae consisting of one flavor of ice cream, one topping, and one type of syrup.
Let the number of toppings be x.
So, 9×5×x=540
⇒ 45x=540
⇒ x=9
Therefore, the number of toppings in the ice cream cone are 9.
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find the value of x and y
Answer:
x= 9 y=5
Step-by-step explanation:
hello :
use phtagor-rul :
y² = 3²+4²
y² =25
so : y=5
same method :
15²=12²+x²
x² =15²-12²
x² =225-144
x² = 81
so : x= 9
The line plots represent data collected on the travel times to school from two groups of 15 students.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4,6,14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9,18, 20, and 22. There are two dots above 6, 10, 12,14, and 16. The graph is titled Bus 18 Travel Times.
Compare the data and use the correct measure of variability to determine which bus is the most consistent. Explain your answer.
Bus 18, with an IQR of 16
Bus 47, with an IQR of 24
Bus 18, with a range of 16
Bus 47, with a range of 24
The bus that is the most consistent, given the data collected on travel times to school from two groups of students is C Bus 18, with a range of 10
How to find the consistent bus ?To determine which bus is the most consistent, we should use the interquartile range (IQR) as the measure of variability. The IQR measures the spread of the middle 50% of the data, which makes it less sensitive to outliers compared to the range.
Bus 47:
Median (Q2): 16
Q1: 10
Q3: 22
IQR = Q3 - Q1 = 22 - 10 = 12
Bus 18:
Median (Q2): 12
Q1: 8
Q3: 18
IQR = Q3 - Q1 = 18 - 8 = 10
Bus 18 has a smaller IQR than Bus 47 (10 vs. 12), which means the travel times for Bus 18 are more consistent.
Note: Figures might be different due to options being for different variant but Bus 18 is the most consistent.
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841 rounded to the nearest 10th
The answer is 840.
I hope am right
Find the value of the expression: −mb −m^2 for m=3.48 and b=96.52
Answer:
The value of the expression when \(m = 3.48\) and \(b = 96.52\) is 323.779.
Step-by-step explanation:
Let be \(f(m, b) = m\cdot b - m^{2}\), if \(m = 3.48\) and \(b = 96.52\), the value of the expression:
\(f(3.48,96.52) = (3.48)\cdot (96.52)-3.48^{2}\)
\(f(3.48,96.52) = 323.779\)
The value of the expression when \(m = 3.48\) and \(b = 96.52\) is 323.779.
For questions 3-4, use the graph of the polynomial function to find the factorization of the polynomial. Assume there is no constant term. 3
3. The factored polynomial is p(x) = (x - 1)(x - 5)
4. The factored polynomial is p(x) = (x + 3)²
What is a polynomial?A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.
3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.
This implies that its factors are (x - 1) and (x - 5)
So, the factored polynomial is p(x) = (x - 1)(x - 5)
4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots
This implies that its factors are (x - (-3)) = (x + 3) twice
So, the factored polynomial is p(x) = (x + 3)²
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Recently, one U.S. dollar was worth about 12.73 Mexican pesos. How much would 560 U.S. dollars be worth in Mexican pesos?
Answer:
7128.8
Step-by-step explanation:
Multiply 12.73 x 560 and boom! You would have your answer.
Hope this helps!
(If this isn't correct, let me know!)
\(\large\bf{\underline{Answer:}}\)
\(\large\bf{⟹7128.8 \:pesos}\)
__________________________________________
\(\large\bf{\underline{Given:}}\)
One US dollar is worth about 12.73 Mexican pesos__________________________________________
\(\large\bf{\underline{To \: find :}}\)
560 US dollar be worth in Mexican pesos__________________________________________
\(\large\bf{\underline{Therefore:}}\)
\(\large\tt{⟹560\times 12.73}\)
\(\large\tt{⟹7128.8}\)
__________________________________________
\(\large\mathfrak{Hence,\:560\:US\:dollar\:are\:worth:}\)
\(\large\mathfrak{7128.8\: Mexican\:pesos}\)
Flag question
\frac{d}{dx} ( sinx - 6 COS X)
a. coSX-6sinx
b. cosx + 6 sinx
C. sinx-6cosx
d. -cosx-6sinx
Answer:
b. cosx + 6 sinx
Step-by-step explanation:
\(\frac{d}{dx} ( sinx - 6 cos \: x) \\ \\ = \frac{d}{dx} sinx - 6\frac{d}{dx} cos \: x \\ \\ = cos \: x - 6( - sin \: x) \\ \\ = cos \: x + 6 \: sin \: x\)
Please please help me
Answer:
x=-43, y=-12, and z=85
Step-by-step explanation:
There is one characteristic of a rhombus that will help us in this question. That is that the sides of a rhombus are all equal, and given that one of the sides is 88, then all of the sides are 88 and so by setting all of the expressions equal to 88, we will get the answer.
Let's start with z:
\(z+3=88\\z+3-3=88-3\\z=85\)
Now for y:
\(-7y+4=88\\-7y+4-4=88-4\\-7y=84\\-y=12\\y=-12\)
That leaves us with x:
\(-2x+2=88\\-2x+2-2=88-2\\-2x=86\\-x=43\\x=-43\)
Calculate the perimeter of a football field measuring 80m by 50m
Answer:
260m
Step-by-step explanation:
the length and the width of a football field is 80m and 50 meters.
perimeter- (80+50)×2= 260m
hope it helps
On your w-2 it states that you paid $12,042 in federal taxes. When filing your taxes and after all deductions, it says you should have paid $10,628 in federal taxes. How much is your tax refund? Please round to the nearest cent and do not put a dollar sign or spaces in your answer.
The amount of your tax refund is $1,414
how to determine how much is your tax refundTo find the tax refund, we need to subtract the amount of federal taxes owed after deductions from the amount of federal taxes already paid.
Tax refund = Federal taxes paid - Federal taxes owed after deductions
Tax refund = $12,042 - $10,628
Tax refund = $1,414
Rounding to the nearest cent, the tax refund is $1,414.00.
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The variation in temperature (in Celsius) of the kinematic viscosity (in m? /s) of some synthetic oil was found to be as follows: T = 10 20 40 60 80 100 120 M = 2.5 X 10-: 5.1 X 10-4 0.95 X 10-4 4.98 X 10-5 2.12 X 10-5 1.05 10-s 5.87 X 10-6 1 We will develop best fit of this data to the exponential function / = exp (~b/T): (a) Use a linear regression analysis to determine the parameters and b Hint: yOu will need to transform the data as preliminary step. See the table in the notes regarding the details of this. Additionally you will need to transform the T data because of the -1/T in the fit function_ (b) Plot the transformed data and linear regression curve on the same graph:
a) Using a linear regression analysis, the parameters a and b can be found by transforming the data as follows:
log(M) = log(a) - b/T
log(M) log(2.5 x 10-4) log(5.1 x 10-4) log(0.95 x 10-4) log(4.98 x 10-5) log(2.12 x 10-5) log(1.05 x 10-5) log(5.87 x 10-6)
T 10 20 40 60 80 100 120
1.3979 0.6989 -0.0041 -1.2998 -2.1245 -2.9594 -3.7697
Using the transformed data, a linear regression analysis can be used to find the parameters a and b.
b) Plotting the transformed data and the linear regression curve on the same graph:
c) Using the same graph to plot the data and the best fit exponential curve:
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Use the spinner to find the theoretical probability of the event. Write your answer as a fraction or a percent rounded to the nearest tenth.
The theoretical probability of spinning red is given as follows:
1/3.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
For the spinner in this problem, 2 out of 6 regions are red, hence the theoretical probability is given as follows:
2/6 = 1/3.
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