If I were George Washington, I would have put two very different people to advise me because I would have a broader vision of government affairs.
Who was George Washington?George Washington (1732-1799) was an American politician and military man who stands out for being one of the most influential people in history and for having served as the first president of the United States between 1789 and 1797. He is considered the most important father of the Nation of the United States.
In 1789 he was unanimously elected by the other founding fathers as the first president of the United States. During his rule he tried to create a nation capable of maintaining peace with its neighboring countries, so he proclaimed neutrality to avoid any involvement in foreign conflicts.
Why have two very different advisers?For George Washington it was a challenge to occupy the position of the first president of the United States because he was going to lead a country that was just being formed. Due to the above, it was of vital importance to include all forms of thought and all visions in its government plan and way of governing.
Therefore, when assuming office as president of the United States, it would be of great importance to have advisers who would help him see from the point of view of other people so that his decisions would take into account the interests of all citizens to avoid uprisings and divisions.
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Sheridan Street and Richmond Street are parallel, and both are intersected by University Boulevard.
Two cars are heading west, one on Sheridan St. and one on Richmond St. Both cars turn north onto University Blvd.
What is the measure of the angle of their turn on to University Blvd.
The measure of the angle of their turn on to University Blvd is; 80°
How to interpret corresponding angles?
Corresponding angles are the angles that are formed when two parallel lines are intersected by the transversal.
Thus, from the given diagram when we apply the concept of corresponding angles, we can say that;
17x + 15 = 19x + 5
19x - 17x = 15 - 5
2x = 10
x = 5
Thus;
19x + 5 = 19(5) + 5 = 100°
Now, the sum of the angles on a straight line is 180 degrees. Thus, the measure of the angle of their turn on to University Blvd is;
180 - 100 = 80°
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plss help me with this
Answer:
Below in bold.
Step-by-step explanation:
7x - 2 + 9x - 2 + 2(5x) = 2(5x + 5) + 2(4x)
7x + 9x + 10x - 4 = 10x + 10 + 8x
7x + 9x + 10x - 10x - 8x = 10 + 4
8x = 14
x = 14/8 = 7/4
So, ST = 5*7/4 + 5
= 55/4
= 13 3/4
Answer:
ST = 13.75
Step-by-step explanation:
The perimeter of a trapezium is calculated with the following formula:
P = a + b + c + d (a, b: bases, c, d: sides)
The perimeter of a rectangle is calculated with the following formula:
P= 2(a + b) (a: base, b: side)
we will write the following equation to find the length of ST
7x - 2 + 9x - 2 + 5x + 5x = 2(5x + 5 + 4x) first do the inside the parenthesis
2(9x + 5) = 18x + 10
Now,
7x - 2 + 9x - 2 + 5x + 5x = 18x + 10 add like terms on the left side of the equation
26x - 4 = 18x + 10 transfer like terms to the same side of the equation
26x - 18x = 10 + 4 add/subtract
8x = 14 divide both sides by 8
x = 1.75 replace x with this to calculate the lentgh of ST
5x + 5 = 5*(1.75) + 5 and ST = 13.75
from x-2 subtract 4x +9
Answer:
I'm pretty sure it is -3x+7
Write 750 in scientific notation
Answer:
7.5 × 10[tex] {}^{2} [/tex] (scientific notation)
Step-by-step explanation:
➟ 750 = 7.5 × 10[tex] {}^{2} [/tex] (scientific notation)
Find the LCM of 2 and 6 using lists of multiples.
Answer:
6
Step-by-step explanation:
2,4,6,8,10
6,12,18,24
The least number that is on both lists is 6
Expand each binomial.
(2 x-y)⁴
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. (2x - y)⁴ is expanded as 16x⁴ − 32x²y + 24x²y² − 8xy³ + y⁴.
What is meant by binomial expansion theorem?The Binomial theorem tells us how to expand expressions of the form (a + b)ⁿ, for example, (x + y)⁷. The larger the power is, the harder it is to expand expressions like this directly.
The total number of terms in the expansion of (x+y)ⁿ are (n+1).
The sum of exponents of x and y is always n.
nC₀, nC₁, nC₂, … .., nCₙ are called binomial coefficients and also represented by C₀, C₁, C₂, ….., Cₙ
The binomial coefficients which are equidistant from the beginning and from the ending are equal.
i.e. nC₀ = nCₙ, nC₁ = nCₙ₋₁ , nC₂ = nCₙ₋₂ ,….. etc.
Let the function be (2x - y)⁴
By using binomial expansion theorem, we get
(2x - y)⁴ = 16x⁴ − 32x²y + 24x²y² − 8xy³ + y⁴
(2x - y)⁴ is expanded as 16x⁴ − 32x²y + 24x²y² − 8xy³ + y⁴
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SUPER URGENT!!!
Joel sells ice cream cones at the county fair. He has to rent the equipment for $36 and spend $0.52 on ingredients for each cone. What is the minimum number of ice cream cones Joel must sell at $1.40 each in order to make a profit?
Please explain ALL OF THE STEPS, or your answer is useless. Thanks!!
Denote by x the number of cones sold or produced.
Denote by C(x) the total cost.
Denote by R(x) the revenue made.
Denote by P(x) the net profit accumulated.
[tex]C_{T}(x)=C_{fixed}+C_{variable} \: \\ C_{T}(x)=36+0.52x[/tex]
[tex]R_{T}(x)=selling \: price \: x \\ R_{T}(x)=1.4x[/tex]
[tex]P(x)=R_{T}(x)-C_{T}(x) \\ P(x)=1.4x-(36 + 0.52x) \\ P(x)=1.4x - 36 - 0.52x \\ P(x)=0.88x - 36[/tex]
If there exists profit, then P(x) has to be positive.
[tex]P(x) > 0 \\ 0.88x - 36 > 0 \\ 0.88x > 36 \\ x > \frac{36}{0.88} \\ x > 40.90909 \\ x = 41[/tex]
Which expression is equivalent to (5x−5y3)−2?
whoever gets it right gets a crown!!
Step-by-step explanation:
5 minus 5 is 0,then 3 minus 2 is 1,therefore the answer is 1xy
(x, y) → (x + 5, y − 4), what are the coordinates of point L′?
Answer: (5,-4)
Step-by-step explanation:
start at zero and go right five because of the adding of five
Then go down 4 because of the minus of zero.
3 (x - 17) < 9 (1 - 3x)
Answer:
x < 2
Step-by-step explanation:
3(x- 17) = 3x - 51
9(1-3x) = 9 - 27x
3x - 51 < 9 - 27x
30x - 51 < 9
30x < 60
X < 2
Question 15
The recipe calls for 3/4 cup of brown sugar. Neih is trying to half the recipe. How much brown sugar should she use?
O 1/2 cup
O 3/8 cup
O 1/4 cup
O 1 and 1/8 cup
Answer:
3/8 cup
Step-by-step explanation:
You simply divide 3/4 by 2 and get a 0.375
We turn the decimal into a fraction and get 375/1000 then simplify the fraction to 3/8
What is the value of each logarithm?
b. log₄32
The answer for the given logarithmic function is 5/2
Logarithm is a mathematical tool used to make high value calculations simple.
It is the exponent to the power of which a number must be raised to give a certain result.
Some of the important formulas in logarithm are:
loga where a is considered as base of the logarithm and b is the argument
is given as nlogab
when base and the argument is same , log is given as 1
logabc where a is the base is given as logab+logc
loga b/c where a is the base is given as logab-logac
Now it is given to us to find the value of log₄32
where 4 is the base and 32 is the argument
We know that logₐb can be written as log₂b/log₂a
using this identity of logarithm,
our question becomes log₂32/log₂4
32 = 2x2x2x2x2 which is
hence can be written as 2^5
Thus the logarithmic function becomes
log₂2^5/log₂2^2=5log₂2/2log₂2
thus it becomes 5/2
Aa log2/log2 becomes 1
Thus log₄32= 5/2
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On Monday, 12 people took 5 hours to clean a number of cars. On Tuesday, 15 people cleaned the same number of cars. Assuming that all the people worked at the same rate,
work out how many hours the 15 people took to clean the cars.
The number of hours the fifteen people took to clean the cars is 4 hours.
Given that, on Monday, 12 people took 5 hours to clean a number of cars. On Tuesday, 15 people cleaned the same number of cars.
What is the rate of work?The rate of doing work is equal to the rate of using energy since the force transfers one unit of energy when it does one unit of work.
Assuming that all the people worked at the same rate, work out how many hours the 15 people took to clean the cars.
Now, based on the given conditions, formulate 12 × 5 ÷ 15
= (12 × 5) ÷ 15
= 60 ÷ 15
= 4 hours
Therefore, the number of hours the fifteen people took to clean the cars is 4 hours.
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A puppy weighs 2.8 pounds at birth and gained about 0.5 pounds per week. A kitten weighs 1.4 pounds at birth and gains about 1.2 pounds per week. In how many weeks will the weight of the kitten be no less than the weight of the puppy?
The weight of the kitten will be no less than the weight of the puppy in 1.4 + 1.2x ≥ 2.8 + 0.5x week.
What is Inequality?Statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given:
A puppy weighs 2.8 pounds at birth and gained about 0.5 pounds per week.
A kitten weighs 1.4 pounds at birth and gains about 1.2 pounds per week.
puppy: 2.8 + 0.5x
Kitten: 1.4 + 1.2x
As, kitten is no less than puppy.
Kitten ≥ puppy
1.4 + 1.2x ≥ 2.8 + 0.5x
hence, the weight of the kitten will be no less than the weight of the puppy in 1.4 + 1.2x ≥ 2.8 + 0.5x week.
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Please answer the question in the photo! [ brainliest ] (20 points)
Answer:
1/4
Step-by-step explanation:
or 90/360
Show that at least three of any 25 days chosen must fall in the same month of the year.
The proof that at least three of any 25 days chosen must fall in the same month of the year holds true because; there are twelve months in a year.
What is the proof that three of any twenty-five, 25 days chosen must fall in the same month of the year as required in the task content?This proof required for the statement in the task content follows from the fact that, there are 12 months in a year.
Hence, the proof that at least three of any twenty-five, 25 days chosen must fall in the same month of the year is because, there are 12 months in a years and after choosing two days from each month, amounting to 24 days, the 25th day would fall into a month and hence, such month has 3 days already.
Ultimately, the statement that at least three of any 25 days chosen must fall in the same month of the year holds true because there are 12 months in a year.
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Need help please with math
The equation for red graph is y= f(x-1)
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.
Given:
y = f(x)
Here if look at the graph with black with function f(x) = x
Now, if we look at the graph closely to shift the black graph to red.
There is shifting the graph in the right hand side which which gives the function y= f(x-1)
Hence, the equation for red graph is y= f(x-1)
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The radius of a circle can be expressed as r=√A/π inches where r is the radius and A is the area of the circle. If the area of a circle is 169 π in.², what is its radius?
The radius is 169 inches.
As per the known fact, the radius and area of circle are related by the formula -
Area = πr²
So, rewriting the expression in equation -
r=√(A/π)²
As mentioned, r is the radius and A is the area of the circle and π is constant
Keep the value of A in the above mentioned rewritten equation to find the value of radius of circle.
r = √(169π/π)²
On solving the above equation we get the new equation, which is as follows -
r = 169π/π
Cancelling π as it is common in both numerator and denominator
r = 169 inches
Hence, the radius of circle is 169 inches.
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8.2/3 of the students in a class are boys, 3/4 of the boys are right-handed There are 18 right-handed boys. How many students are there in the class?
Answer:
36
Step-by-step explanation:
3/4x = 18 multiply both sides by 4/3
(4/3)(3/4)x = (18/1) (4/3)
x = 24 There are 24 boys in the class.
2/3x = 24 Multiply both sides by 3/2
(3/2)(2/3)x = (24/1)(3/2)
x = 36
By solving a linear equation , we get the total number of students in the class are 36
What is a linear equation in one variable?An linear equation is a mathematical statement consists of expressions of only one variable that too with power 1 and constants and compares two such expressions by equating them.
Standard form of linear equation in one variable : ax +b = c
x = (c-b)/a
Let the total number of students in the class are x
Given that 2/3 of the students in a class are boys
∴ The number of boys = 2/3(x) =(2x)/3
Then given that 3/4 of the boys are right handed and there are 18 right-handed boys
∴ 3/4( no of boys ) =18
⇒3/4 *(2x/3) =18
⇒(3*2x)/(4*3) =18
⇒x/2 =18
Multiplying both sides by 2
⇒x = 2*18 = 36
Therefore, the total number of students in the class are 36
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At its highest point, the elevation of a county is 5764 feet above sea level. At its lowest point, the elevation of the county is 9 feet below sea level.
(a) The expression to represent the difference between the elevations is 5764 - ( - 9).
(b) The answer will be a positive integer.
(c) The difference between the highest and lowest point is 5773 feet.
The elevation of a county is 5764 feet above sea level.
The elevation of the county is 9 feet below sea level at the lowest point.
(a) The highest point = 5764 feet
The lowest point = 9 feet
Then the difference between the highest and the lowest point will be:
difference = Highest - lowest
difference = 5764 - ( - 9)
(b) The answer will be written as a positive integer.
(c) The difference between the highest and lowest points of the county will be:
difference = Highest - lowest
difference = 5764 - ( - 9)
difference = 5764 + 9
difference = 5773 feet
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The complete question is mentioned below:
At its highest point, the elevation of a county is 5764 feet above sea level. At its lowest point, the elevation of the county is 9 feet below sea level. Answer parts (a) through (c).
a. Write an expression using integers to represent the difference between the elevations.
b. Will the answer be written as a positive or negative integer?
c. What is the difference between the highest and lowest points of the county?
z(4−1/2)+4 help please :(((
Answer:
7/2z +4
Step-by-step explanation:
z(4-1/2)+4
=7/2z +4
Answer:
7.5
Step-by-step explanation:
Remove parentheses; z=4-1/2+4
Add the 4s: -1/2+8
convert to fraction: 8*2/2-1/2
combine fractions:8*2-1/2
8*2-1=15
15/2
now convert 15/2 to a decimal, boom, 7.5
Find the GCF of
12 and 54
Answer: GCF = 6
Step-by-step explanation:
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54
Then the greatest common factor is 6.
Landon wants to ride his bicycle 36 miles this week. He has already ridden 4 miles. If he rides for 4 more days, write and solve an equation which can be used to determine mm, the average number of miles he would have to ride each day to meet his goal.
The average number of miles he would have to ride each day to meet his goal is 8 miles
Writing an EquationFrom the question, we are to write an equation that can be used to determine m, the average number of miles he would have to ride each day to meet his goal
From the given information,
Landon wants to ride his bicycle 36 miles this week and he has already ridden 4 miles.
The average number of miles, m, he would have to ride for 4 more days to meet his goal is
m = (36- 4)/4
This is the equation that can be used to determine m, the average number of miles he would have to ride each day to meet his goal
Now, determine m
m = (36 - 4)/4
m = 32/4
m = 8
Hence, the average number of miles he would have to ride each day to meet his goal is 8 miles
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a bacteria culture starts with 660 bacteria and grows at a rate proportional to its size. after 4 hours there will be 2640 bacteria. (a) express the population after t hours as a function of t. population: equation editor (function of t)
Answer:
T=x(T*2) where X=660
Step-by-step explanation:
If it has been 2 hours than t=2
plug in 2 for t and you get x*4
whats the awnser for
$4.98 divied by 24oz
Answer:
0.2075
Step-by-step explanation:
Or $0.2075 per oz
Japhet is making small rectangular tiles for a mosaic. each tile has an area of 7 cm 2 and is 1 1/4 cm wide. how long is each tile?
Answer:
28/5
Step-by-step explanation:
7 x 4/5 = 28/5
use keep, change, flip
Answer:
28/5
Step-by-step explanation:
just did it on khan academy.
Calculate the percent increase or decrease between the starting and ending
quantities below. Round your answer to one decimal place.
1) Start: 3 End: 10
2) Start: 9 End: 20
3)Start: 100 End: 85
The percent increase or decrease of the starting and ending quantities below are:
233%122%-15%How to find the percent increase?The percent increase can be found by the formula:
= (End - Start) / Start x 100%
The percent increase of these quantities are:
= (10 - 3) / 3 x 100%
= 7 / 3 x 100%
= 2.3333 x 100%
= 233%
= (20 - 9) / 9 X 100%
= 11/9 x 100%
= 1.222 x 100%
= 122%
= (85 - 100) / 100 x 100%
= -15 / 100 x 100%
= -15%
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At a party store, packages of 12 noisemakers are $2 each. Packages of 9 party hats are $15 each. Mia wants to buy equal numbers of noisemakers and hats.
To get that many noisemakers and hats: How many packages of noisemakers does Mia need to buy?
How many packages of hats? Explain.
What are the steps for divide in one bye one
Do All sides of a parallelogram have the same length.
Answer:
Step-by-step explanation:
No, They do not.
Answer:
All sides of a parallelogram have the same length.
Step-by-step explanation:
A parallelogram can have one pair or two pairs of parallel sides. All sides of a parallelogram have the same length. All angles of a parallelogram have the same measure.