Step-by-step explanation:
Arithmetic Sequnce in our daily life
The knowledge of calculating the nth term of a sequence can be very helpful. Calculating loans, discounts, salary, savings are some of the use of arithmetic method. If I save P5 per day for 5 years, I can simply use arithmetic sequence to find how much I saved from day 1 to last. Salary increase can also be solved using arithmetic sequence. Below is an example.
Sample real life problem:
1. I earn P300 on the first day. After each succeeding day, I earn P2 more than the previous day. How much should I be able to earn after 30 days?
In this situation, I would use the arithmetic sequence formula which is:
an = a1 + (n - 1)d
an is the nth term
a1 is the first term
n is the term position
d is the common difference
Lets subsitute:
an = P300 + (30 - 1)P2
an = P358
I should earn P348 at the end of 30 days
ABC, Construct a triangle ABC, <B =90° AB= 4cm AC=5cm. Find the third side.
Helpppp
Pythagoras Theorem
BC = 3 cm
Step by step explanation :
» Attached «
Math
1. What is 1 1/2 + 3/4
Answer:
2 1/4
Step-by-step explanation:
First, for adding, subtracting, and comparing fractions, it is good to adjust both fractions to a common denominator. The common denominator you can calculate as the least common multiple of both denominators = LCM ⇒ (2, 4) = 4. We should do = three halfs + three quarters = nine quarters. Thus, 2 1/4 or 2.25 is the answer.
1 1/2 + 3/4 = 9/8 = 2 1/4 or 2.25
Feel free to rephrase this in your own words! Hope this helps!
Determine whether the ordered pair (6,5) is a solution to the equation -2x +y = -7.
O Yes, (6,5) is a solution.
O No.(6,5) is not a solution.
Answer:
yes (6,5) is a solution
Step-by-step explanation:
A politician has $4,200 to buy TV advertisements. If each advertisement costs $700, how many advertisements can the politician buy?
they can buy 6 tv advertisements.
find the other endpoint of the line segment with the given endpoint and midpoint.
endpoint- (-6,4) and midpoint (4,8)
Answer:
(14,12)
Step-by-step explanation:
Answer:
(14,12)
Step-by-step explanation:
(4,8)
(-6,4)
find the coordinates of the unknown endpoint
(14,12)
pls help me this is due tonight by 8 40
Answer:
a. gh³
b. xy³
Step-by-step explanation:
a. [tex]g^{3-2}[/tex][tex]h^{5-2}[/tex] = gh³
b. [tex]x^{3-2} y^{4-1} p^{1-1}[/tex] = xy³
Use the negative exponent rule.
1
_ x + 9 for x=3 .............................................
2
Answer:
10.5
Step-by-step explanation:
[tex] \frac{1}{2} \times 3 + 9 \\ 1.5 + 9 \\ 10.5[/tex]
[tex]\\ \tt\Rrightarrow 1/2x+9[/tex]
x=3[tex]\\ \tt\Rrightarrow x/2+9[/tex]
[tex]\\ \tt\Rrightarrow 3/2+9[/tex]
[tex]\\ \tt\Rrightarrow 3+18/2[/tex]
[tex]\\ \tt\Rrightarrow 21/2[/tex]
[tex]\\ \tt\Rrightarrow 10.5[/tex]
What is 3763.2 ÷0.512 with the work that goes with it.
Answer:
7350
Explanation:
3763.2/0.512 can be determined by simply dividing.
what is 1/4 x 1/4 x 1/4 do the answer in fraction form
3 (1/4)s
(1/4)³1/4³1/64Identify the domain
of the following function.
PLS HELP
You buy a new computer for $1.500. The value of the computer decreases by 6% every yearHow much is the computer worth after 4 years?
a. $1,171.05
b. $1,225.35
c. $1,008.50
d. $999.80
Answer:
A. $1171.05Step-by-step explanation:
1500 × (1-(6 / 100))⁴
Hope this helped. A brainliest would be very much appreciated. (I need 4 brainliest so I can level up) :)
Answer:
b. $1,225.35
Step-by-step explanation:
The graph of linear function fpasses through the point (1, -9) and has a slope of 3.
What is the zero of f?
4
-2
2
-6
Will give brainliest if your right
What is the value of the expression shown below? (4 points) 2 over 3 to the power of 2 + 5 × 2 − 4
Answer:
6 4/9Step-by-step explanation:
2 over 3 to the power of 2 + 5 × 2 − 4
[tex](2/3)^2+5*2-4=[/tex][tex]4/9 + 10-4=[/tex][tex]4/9+6=[/tex]6 4/9(2/3)^2 +5×2−4
=4/9 + 10-4
=4/9+10−4
=4/9+6
= [tex]6 \frac{4}{9} [/tex]
Therefore, 6 4/9 is ur answer
need an answer, please need an answer, please
Answer:
Step-by-step explanation:
1) 6 and -5
x₁ + x₂ = 6 +(-5) = 1
x₁* x₂ = 6*(-5) = -30
x² -(x₁ + x₂)x + (x₁* x₂)=0
x² - x - 30 = 0
2) 4 and 7
x₁ + x₂ =4 + 7 = 11
x₁* x₂ = 4*7 = 28
x² - 11x + 28 = 0
3) 1 and -10
x₁ + x₂ = 1 +(-10) = -9
x₁* x₂ = 1*(-10) = -10
x² - 9x - 10 = 0
4) -9 and 0
x₁ + x₂ = -9 + 0 = -9
x₁* x₂ = 0
x² - (-9)x = 0
x² + 9x = 0
5)2 and 6
x₁ + x₂ = 2 + 6 = 8
x₁* x₂ = 2*6 = 12
x² -8x + 12 = 0
8) 2 +√3 and 2 - √3
x₁ + x₂ = 2+ √3 + 2 - √3 = 4
x₁* x₂ = (2 + √3)(2 - √3) = 2² - (√3)² 4 - 3 = 1
x² - 4x + 1 = 0
i rlly need help--plzzzzzzzzzzzzzzzzz 10 points
Answer:
Harper is 200 yards away from her home if the map shows 3 inches
Step-by-step explanation:
50 yards = 3/4 inch
3 inches = 3/1
3/1 x 4/4 = 12/4
12/4 = 3 inches
50 x 4 = 200
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
A. 23.7
B. 8.7
C. 13.8
D. 9.5
Answer:
a
Step-by-step explanation:
just cuzyfhyf
Which of the following graphs represents a function? Choose all that apply.
Two cars leave San Francisco at the same time traveling in opposite directions. One travels at an
average speed of 74 mph and the other at 78 mph. In how many hours will they be 304 miles apart?
Let x = time of travel for the first car and y = time of travel for the second car.
Then the system that
models the problem is {74x + 78y=304}
Solve the system by using the method of addition.
Answer:
i don't really know but can you explain more so I can understand how to do it
Write the polynomial that has factors of -15 and 3.
Answer:
Find the GCF of all the terms in the polynomial.
Express each term as a product of the GCF and another factor.
Use the distributive property to factor out the GCF.
Step-by-step explanation:
Which exponential equation is equivalent to this logarithmic equation?
log x 5+ log x 12 = 7
Answer:
[tex]{ \rm{ log_{x}(5) + log_{x}(12) = 7}} \\ \\ { \rm{ log_{x}(5 + 12) = 7}} \\ \\ { \rm{ log_{x}(17) = 7}} \\ \\ { \rm{17 = {x}^{7} }} \\ \\ { \boxed{ \rm{ {x}^{7} = 17 }}}[/tex]
• further more:
[tex]{ \rm{x = \sqrt[7]{17} }} \\ \\ { \boxed{ \rm{x = 1.5}}}[/tex]
The equivalent exponential equation is given by [tex]x^7 - 60 = 0[/tex].
What is an equation?Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.
As per the given data:
We are given a logarithmic equation, and we have to find out the equivalent equation with exponents.
The logarithmic equation given in the question is:
[tex]log_x5 + log_x12 = 7[/tex] ...(i)
By using the following property of logarithm, we can simplify this equation.
[tex]log_x(ab) = log_xa + log_xb[/tex]
By using this property in eq (i)
[tex]log_x[5 \times 12] = 7[/tex]
[tex]log_x[60] = 7[/tex]
By using logarithmic transformation.
[tex]x^7 = 60[/tex]
∴ [tex]x^7 - 60 = 0[/tex]
The equivalent exponential equation is given by [tex]x^7 - 60 = 0[/tex].
Hence, The equivalent exponential equation is given by [tex]x^7 - 60 = 0[/tex].
To learn more about equation, click:
brainly.com/question/10413253
#SPJ7
HEEEEEEEEEEEEEEEELP MEEEEEEEEEEEEEEEEEEEEEE
answer: the inequality is 3+7(x)<24
x=x < 3 2/7
Step-by-step explanation:
because...
3 + 7x < 26
7x < 23
x < 23/7
x < 3 2/7
Answer:
More/Product is a key word to multiply so 3X7 and less is a key word to subtract so your subtracting X from 24
3x7=21 and that's 3 less than 24
The answer is 3
Step-by-step explanation:
The diameter of a circle has length 12. The center is at (-5,2) . Give the equation of the circle?
9514 1404 393
Answer:
(x +5)² +(y -2)² = 36
Step-by-step explanation:
The radius is half the diameter, so is 12/2 = 6.
The standard form equation for a circle is ...
(x -h)² +(y -k)² = r² . . . . . . circle centered at (h, k) with radius r
For the given parameters, the equation is ...
(x +5)² +(y -2)² = 36
This table shows the relationship between time and push-ups.
Which of the following values could represent the value of r2 for this relationship?
r2 = ‒0.9646
r2 = ‒0.0354
r2 = 0.0354
r2 = 0.9646
Answer:
D
Step-by-step explanation: i <3 satistics so much
Thomas, a waiter at a local restaurant, is paid $ 4 an hour plus tips. His friend Marie works at a local bookstore for $12 an hour. Marie and Thomas worked the same number of hours. If Thomas made $120 in tips and both made the same amount of money, how many hours
1.please just give me the first step on how it’s written out
Answer:
15 hours
Step-by-step explanation:
Let h = numbers of hour worked, x = tips, t = Thomas' pay, and m = Marie's pay
We can set up an equation for this question:
t = 4h + x
Now plug in 120 for x
t = 4h + 120
Now we set up Marie's pay:
m = 12h
Since Thomas and Marie made the same amount of money over the same number of hours, we can say:
4h + 120 = 12h
120 = 8h
h = 15
This means they both worked for 15 hours.
Cecilia owns just as many cats as she does birds. If her pets have a total of 18 legs, how many cats does she own?
Answer:
1
Step-by-step explanation:
You can get this answer by adding 4+4+4+4, equaling out to 16...but how is there 18? well you just add 2 for the bird's legs and that's your answer!!
Hope this helps you love!!!
Answer:
3
Step-by-step explanation:
3 cats with 4 legs = 12
3 birds with 2 legs =6
12 + 6=18
Write the equation of the line in fully simplified slope-intercept form.
Answer:
ydkyksykdysjgjzgjz
Step-by-step explanation:
hlxkzgkzgksykkxmhxykdkydxkhoueydozgkhmzmhxkhdyoeoyxydkydkmxhylekdhkkysykyskkkysyek sheets obvi redfin
Simplify, the solve.
Answer:
1/64
Step-by-step explanation:
4x4^3/4^7
4^-3
1/4^3
1/64
Use the vertical line test to determine whether the relation graphed below is a function.
A. Yes
B. No
C. It cannot be determined.
Answer:
No
Step-by-step explanation:
Draw a vertical line. If a vertical line passes through two or more points on the graph, it is not a function. Since it passes through 2 points, it is not a function
If u(x) = x^5-x^4x+x^2 and v(x)=-x^2, which expression is equivalent to (u/v)(x)?
Step-by-step explanation:
(x^5/-x^2)-(x^4x/-x^2)+(x^2/-x^2)
-x^3+x^2-1
If 7 4/5 is added to 2 3/4 , what is the sum?
Answer: 9 7/20
Step-by-step explanation:
7 4/5 + 2 3/4
Multiply the Denominators = 20
Add Numerators = 7
Add Whole Numbers = 9
Answer 9 7/20