The horizontal limit of the given function is given as follows:
y = -2/5.
What is a limit?A limit is given by the value of function f(x) as x tends to a value. For a standard function, we just calculate the numeric value of a function.
However, in this problem, an horizontal limit means that x goes to infinity, hence it we replace and calculate the numeric values we would have a fraction of infinity divided by infinity as a result, which is an undetermined limit.
Then, we use the algorithm to solve an infinity limit, in which we consider just the term with the highest exponent of both the numerator and of the denominator.
Hence:
[tex]\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{2x^3}{-5x^3} = \lim_{x \rightarrow \infty} -\frac{2}{5} = -\frac{2}[5}[/tex]
Because the limit of a constant is the constant, hence the horizontal limit of the given function is given as follows:
y = -2/5.
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How to solve 5x + 7y = 1790 and 1x + 1y = 290 algebraically
Answer:
Step-by-step explanation:
Answer: x=120; y=170.
Step-by-step explanation:
1) it is possible to make up the the system of two equations from these two given equations:
[tex]\left \{ {{5x+7y=1790} \atop {x+y=290}} \right.[/tex]
2) the solution of the system above:
[tex]\left \{ {{5x+7y=1790} \atop {5x+5y=1450}} \right. \ = > \ \left \{ {{2y=340} \atop {x+y=290}} \right. \ = > \ \left \{ {{y=170} \atop {x=290-y}} \right. \ = > \ \left \{ {{y=170} \atop {x=120}} \right.[/tex]
3) finally, (120;170).
206 × 34 helpppoppoo
Answer: 7004
Step-by-step explanation:
i used a calculator queen
Answer:
7004
Step-by-step explanation:
The ratio of students to adults on a field trip is 49 to 7. Which table correctly represents this ratio?
Name the quadrant in which the angle below is located.
Tan theta = -4/5 and sin theta is positive
Quandrant I, Quadrant II, Quadrant III or IV?
The quadrant in which the angle theta as described in the task content is located is; Quadrant II.
Which quadrant is the angle theta located?It follows from the task content that the angle theta described has; it's tan value to be negative and it's sine value to be positive.
Hence, since only sine of angles is positive in quadrant II while tan and cosine values are negative, it follows that the quadrant where theta is located is; Quadrant II.
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Jose opens a savings account with principal p dollars that pays 2% interest, compounded quarterly. what will his ending balance be after 1 year
According to the question, to calculate the total amount after one year with the addition of the compounded quarterly.
The standard formulas as well as the given parameters are written as below:
Principal = p dollars ; Rate of interest = 2 percent ; Time = 1 year
Now, compound interest formula:
CI = P(1+r/n)^nt and Amount = CI + P
Now, substituting the values in the above expression to calculate the final amount:
Amount = P(1+r/4) +P = Pr/4
Therefore, the ending balance in terms of principal amount is Pr/4.
What is compound interest?
Compound interest is the interest amount on the principal amount which was given three times in a year. And it is in terms of half yearly, quarterly and annually. It is extra amount paid by the bank.
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find the sum of 0.47 and 0.2
The sum of 0.47 and 0.2 is 0.67
Addition of DecimalsFrom the question, we are to determine the sum of the given decimal numbers.
The numbers are 0.47 and 0.2
In the first model, we have 4 tenths and 7 hundredths
and
In the second model, we have 2 tenths and 0 hundredths
Adding the tenths
4 tenths + 2 tenths = 6 tenths
Adding the hundredths
7 hundredths + 0 hundredths = 7 hundredth
Putting the results together, we get
6 tenths and 7 hundredths
That is,
0.67
Hence, the sum of 0.47 and 0.2 is 0.67
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The fountain at the Palace of Versailles in France is circular in shape. An architect from New York replicates the design of this fountain, but enlarges the radius of the fountain using a scale of 1 : 4. The area of the fountain in New York is 1,600π square yards. What is the area, in square yards, of the original fountain at the Palace of Versailles? Leave your answer in terms of π.
The area of the original fountain was 16π square yards at the Palace of Versailles due to the radius of the fountain on a scale of 1 : 4.
What is the area of the circle?The area of the circle is equal to the product of the square of the radius of the circle and pi.
A = πr²
where 'r' is the radius of the circle
The radius of the fountain using a scale of 1 : 4 in New York
The area of the fountain in New York is 1,600π square yards.
To determine the area of the original fountain at the Palace of Versailles
We can write this as a ratio as
A₁ : A₂ = πr² : π(4r)²
A₁ : 1,600π = πr² : π(4r)²
A₁ / 1,600π = πr² / π(4r)²
A₁ = (πr²/ π 16r²)(1,600π )
A₁ = 1,600π/16
A₁ = 16π square yards
Therefore, the area of the original fountain was 16π square yards at the Palace of Versailles.
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11. If F is the number of Faces, E is the number of Edges and V is the number of Vertices, calculate V - E + F for a hexagonal prism.
pls I really need help
The value of V-E+F=2
Euler's polyhedron formula, V−E+F=2
A hexagonal prism has 8 faces, F=8
A hexagonal prism has 12 vertices, V=12
A hexagonal prism has 18 edges, E=18
So, 12−18+8=2
V-E+F=2 is Euler's polyhedron formula.
F=8 for a hexagonal prism with 8 faces
V=12 is the number of vertices in a hexagonal prism.
E=18 is the number of edges on a hexagonal prism.
So, 12−18+8=2
A hexagonal prism is a three-dimensional prism with two parallel ends that have the same size and form. The hexagonal prism has six parallelogram-shaped faces on its six sides. Regular hexagonal prisms and irregular hexagonal prisms are the two types of hexagonal prisms. A hexagonal prism is a polyhedron with 8 faces, 18 edges, and 12 vertices, with 6 faces in the shape of rectangles and 2 faces in the shape of hexagons.
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A farmer has some cows and chickens. The animals have a total of 40 heads and 112 legs. How many cows are there?
Answer: 40
Step-by-step explanation: c o w
I need some help please
[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{-2})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{5}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{ \cfrac{5}{2}}(x-\stackrel{x_1}{(-6)}) \implies y +2= \cfrac{5}{2} (x +6) \\\\\\ y + 2 = \cfrac{5}{2}x + 15\implies y = \cfrac{5}{2}x+13[/tex]
Write a quadratic function that includes the given point. If not possible state why.
Please help and explain
According to the question, the given points for the expression of the quadratic function are as: (2, 1) (-1, -2).(3,-10)
The standard form of the quadratic equation is: f(x) = [tex]ax^{2} +bx+c=0[/tex]
Using coordinate points the quadratic equation can be written as:
[tex]ax^{2} +bx+c=0[/tex] ⇒[tex]4a+2b+c=0[/tex]; [tex]a-b+c=0[/tex]; [tex]9a+3b+c=0[/tex]
Solving above three equation by the method called substitution and calculated the values of the variable. The calculated values are zero.
Therefore, the formed quadratic function is not quadratic function.
What is quadratic function?
The quadratic function is the polynomial expression and the formed curve is parabola on the graph. The direction of the parabola is either downward or upward or in the direction of left or right. It represent the equation steepness.
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Tarek buys a pomegranate with 314 seeds. He buys a second pomegranate that has more seeds. The number of seeds in the second pomegranate is made of the digits 6, 3, 1, and 4, but not in that order.
Part A
If the value of 1 is 100 times greater in the second pomegranate, in
what place should the 1 be written in the second number? Explain
how you know.
Answer:
thousands place: 4th one to the left of the decimal point, 1000.
Step-by-step explanation:
You want the number place of a 1 that has a value 100 times that of the 1 in 314.
Place valueThe digit 1 in the number 314 is in the "tens place." It signifies 1 ten is part of the value of the number 314.
The value of a digit 1 that is 100 times that will be ...
10 × 100 = 1000
That is, the digit will be found in the "thousands place," two digits to the left of the location in the number 314.
Thousands placeThe 1 with a value of 1000 is written in the thousands place, the 4th place to the left of the decimal point.
Question 2: How can you tell just by looking that the following system that it has infinitely many solutions?
x+y=5
2x+2y=10
if y= 0 what is y+10+10
Given:
y=0, y+10+10
statement of equality between two expressions consisting of variables and/or numbers
to solve the equation y+10+10, if y=0
substitute the value y=0, in the equation
which is equal to y+10+10= 0 +10 + 10 = 20
so the final answer is 20.
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What are the correct answers ABCD?
Answer:
the answer would be D. x/7=9
Step-by-step explanation:
-
1.)The sum of three times y and 50 is 200.
2.) twice the difference of m and 15 gives 55.
3.) five more than q is equal to 80.
translate to algebraic equation
Answer:
Step-by-step explanation:
3y + 50 = 200 2(m-15) = 55 q + 5 = 80Find the 12th term of the geometric sequence 2,10,50
12th term of the geometric sequence is 97,656,250
In the given statement is:
Find the 12th term of the geometric sequence 2,10,50
What is Geometric Sequence?
A Geometric Sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.
Now, to find the 12th term of geometric sequence:
Formula of Geometric Sequence:
[tex]a_{n} =a_{1}r^n^-^1[/tex]
a = first term of the geometricr = common ratio of the geometric sequence[tex]a_{n}[/tex] = nth term[tex]a_{1}=2\\ \\[/tex]
r = 10/2 =5
[tex]a_{12}=2(5)^1^2^-^1\\ \\a_{12}=2(5)^1^1\\\\\\a_{12}=2(48,828,125)\\ \\a_{12} = 97,656,250[/tex]
Therefore, 12th term of the geometric sequence is 97,656,250
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Please help!
Simplify the expression. Show all steps to simplify the expression.
Answer:
3^5
Step-by-step explanation:
substract the index of the number
Jane’s grocery receipt is shown. If the sales tax on these items is 6.25%, what is the amount of sales tax? Round to the nearest cent. Turkey- 21.55 Turkey gravy-2.25 Stuffing-3.89 Peas-1.95
hi
amount before tax :
21.55+2.25+3.89+1.95 = 26.94
as sales tax is 6.25 /100 = 0.0625
then amount of tax is : 26.94 *0.0625 ≈ 1.68
With wireless Internet (WiFi) gaining popularity, the number of public wireless Internet access points (in thousands) is projected to grow from 2003 to 2008 according to the equation - 105x+3y=114 where x is the number of years after 2003. Find the slope of the linear equation.
Answer:
The slope is 35===========================
Given line
- 105x + 3y = 114Convert this into slope-intercept form:
y = mx + b, where m is the slope, b is the y-intercept-105x + 3y = 1143y = 105x + 114y = 105x/3 + 114/3y = 35x + 38The slope is 35
I need help with this please
NO LINKS!! Please help me with this one
Answer:
[tex]\textsf{d)} \quad \dfrac{5}{6}, \quad \dfrac{25}{6}[/tex]
Step-by-step explanation:
Given:
[tex]12 \cos \left(\dfrac{2 \pi}{5}x\right)+10=16, \quad \textsf{when}\; \left(\dfrac{2 \pi}{5}x\right)\; \textsf{is in radians}.[/tex]
Subtract 10 from both sides of the given equation:
[tex]\implies 12 \cos \left(\dfrac{2 \pi}{5}x\right)=6[/tex]
Divide both sides of the equation by 12:
[tex]\implies \cos \left(\dfrac{2 \pi}{5}x\right)=\dfrac{1}{2}[/tex]
Take the inverse of cosine of both sides:
[tex]\implies \dfrac{2 \pi}{5}x = \cos^{-1}\left(\dfrac{1}{2}\right)[/tex]
[tex]\implies \dfrac{2 \pi}{5}x =\dfrac{\pi}{3}+2 \pi n, \dfrac{5 \pi}{3}+2 \pi n[/tex]
Multiply both sides by 5:
[tex]\implies 2 \pi x=\dfrac{5 \pi}{3}+10 \pi n, \dfrac{25 \pi}{3}+10 \pi n[/tex]
Divide both sides by 2π:
[tex]\implies x=\dfrac{5 \pi}{6 \pi}+\dfrac{10 \pi}{2 \pi}n, \dfrac{25 \pi}{6 \pi}+\dfrac{10 \pi}{2 \pi}[/tex]
Simplify:
[tex]\implies x=\dfrac{5}{6}+5n, \dfrac{25}{6}+5n[/tex]
The two smallest possible solutions for x are when n = 0:
[tex]\implies x=\dfrac{5}{6}, \quad x=\dfrac{25}{6}[/tex]
25 divided by 5
90 divided by 5
and how would it look like?
Answer:
Hope this helps :)
1. 25 ÷ 5 = 5
2. 25
---- <----- fraction bar means divide too
5
1. 90 ÷ 5 = 18
2. 90
---- <------- fraction bar means divide too
5
Is -6 an integer, rational or irrational number
Answer:
Rational
Step-by-step explanation:
The number negative 6 (-6) is a rational number. All rational numbers are obtained by dividing one integer by another. Since it is possible to obtain -6 by dividing the integer -6 by 1, as in -6/1, we know that -6 is a rational number.
2
3
Find the area of a triangle with base 1 inches and height 5 inches?
Write your answer as a proper fraction or mixed number in reduced form.
n
Area =
Basic
8
DNE
11
square inches
↓
The area of a triangle with the given base and height is 4 1/6 square inches.
Given that, the base of a triangle is 1 2/3 inches and the height of a triangle is 5 inches.
What is the area of the triangle?The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
Now, the mixed fraction 1 2/3 can be written as 5/3
The area of the triangle=1/2 × 5/3 × 5
To multiply the fractions multiply the numerators of the fraction and write the product in the numerator and multiply the denominators of the fractions and write the product in the denominators.
That is, (1/2 × 5/3) × 5/1
=5/6 × 5/1
=25/6
=4 1/6
So, the area of a triangle with a base of 5/3 inches and height 5 inches is 4 1/6 square inches.
Therefore, the area of a triangle with the given base and height is 4 1/6 square inches.
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Just double checking my work did i select all that applied?
Answer:
i think yes but do whatever you want
Evaluate the polynomial for x = 3.
- 9x+5
The answer is
(Simplify your answer. Type an integer
integer or a fraction.)
the polynomial with x equal to 3. - 9x+5 The solution, which is an integer, is -22.
What is an example of an integer?An integer is a whole number that is not a fraction and can be positive, negative, or zero. Integers include -5, 1, 5, 8, 97, and 3,043 as examples. Some instances of numbers that are not INTEGERS.
Why do you refer to fractional numbers in this way?A fraction is a numerical value that is a part of an entire. A whole is evaluated by breaking it down into various components.. For instance, 12 represents a half of a full number or item.
in accordance with the stated fact;
-9x+5
put x=3 in given equation;
-9(3)+5
=-27+5
=-22
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Find the measure of each angle indicated
Answer:
60
Step-by-step explanation:
from triangle 1:
59+45+∠a = 180
∠a = 180-59-45 = 76
∠a+44+∠b = 180
∠b = 180-∠a-44 = 180-76-44 = 60
in triangle 2:
∠?+60+∠b = 180
∠? = 180-∠b-60 = 180-60-60 = 60
∠? = 60
At store A for 2 pineapples is $5 if at store B the price for 2 pineapples is $5 what is the unit rate for each store
What is the amount (to the nearest cent) in the account at the end of three years if the interest rate is 2%
The amount at the end of three years is 1.06 times the initial amount.
Simple interest is calculated using the following formula: = P × R × T, where P = principal, R = annual interest rate (%), T = hours, usually calculated as years. The interest rate is expressed as a percentage r% and written as r/100. Principal : Principal is the amount originally borrowed or invested by the bank. The capital is represented by P. Interest Rate : The interest rate is the rate at which the principal is given to someone for a period of time. The interest rate could be 5%, 10%, or 13%. The interest rate is represented by R. Time : Time is the length of time a principal is given to someone. Time is represented by T. Amount : When a person takes out a loan from a bank, he has to repay the amount of principal plus interest, and this repayment amount is called the amount.Rate = 2%
Time = 3 Years
Let the principal amount be P
Simple interest = P * R * T
SI = ( P * 2 * 3 ) / 100
= 6P/100
= 0.06P
Amount = P + SI
= P + 0.06P
= P(1 + 0.06)
= 1.06P
The amount at the end of three years is 1.06 times the initial amount.
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