Answer:
a. Geometric
b. 20, 10 and 5
c. Tn = 20(0.5)^n-1
d. 0.00004 ft
Step-by-step explanation:
a. The sequence is geometric
The reason for this is that we will be multiplying each term by a particular value
If it was arithmetic, we would have been adding instead. But since it is geometric, we shall multiply terms by a particular number
b. 1st term is
20
second term
1/2 * 20 = 10
Third term
1/2 * 10 = 5
c. Explicit formula
Mathematically, that will be;
Tn = ar^n-1
Where r is 1/2 or 0.5
Tn = a(0.5)^n-1
where Tn is the present term and n is the present number of the term
d. 20th term
T20 = 20 * 0.5^19
T20 = 0.00004 ft
for f(x) =4x+1 g(x)=x²-5, find (f•g)(x)
Answer:
(f · g)(x) = 4x³ + x² - 20x - 5
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
f(x) = 4x + 1
g(x) = x² - 5
(f · g)(x) is f(x)g(x)
Step 2: Find (f · g)(x)
Substitute: (f · g)(x) = (4x + 1)(x² - 5)Expand [FOIL]: (f · g)(x) = 4x³ - 20x + x² - 5Combine like terms: (f · g)(x) = 4x³ + x² - 20x - 5We know that,
[tex] \Large \underline{\boxed{\sf{ (f . g)(x) = f(x) \times g(x) }}}[/tex]
By substituting values :
[tex] \sf : \implies (f . g)(x) = (4x+1) \times (x^{2} -5)[/tex]
[tex] \sf : \implies (f . g)(x) = 4x(x^{2} -5) +1(x^{2} -5)[/tex]
[tex] \sf : \implies (f . g)(x) = 4x^{3} - 20x + x^{2} -5[/tex]
[tex] \sf : \implies (f . g)(x) = 4x^{3} + x^{2} - 20x -5[/tex]
Hence, answer is :
[tex]\underline{\boxed{\sf{(f . g)(x) = 4x^{3} + x^{2} - 20x - 5}}}[/tex]
Solve for the final amount you need to pay. Chinese foos $120 for delivery. You want to pay 15% tip. How much money total money will you give the delivery boy? Show work.
Answer:
$150
Step-by-step explanation:
Given
Delivery amount = $120
Percent tip on the delivery amount = 15%
Tip amount = 15% * 120
Tip amount = 0.15 * 120 = $30
Total money paid = Delivery amount + Tip
Total money paid = $120 + $30
Total money paid = $150
hence the total money you will give the delivery boy is $150
What does ⊥ mean in math ?
plz don't copy from g00gle
Answer:
Perpendicular
Step-by-step explanation:
It is a symbol used for showing any two lines perpendicular to each other.
Answer:
The symbol ⊥ is representative of the perpendicularity of lines.
Step-by-step explanation:
For lines to be perpendicular, they must intersect and form a right angle (90 degrees).
For example, in the image shown:
[tex]AB[/tex] ⊥ [tex]XY[/tex]
This is because the two lines intersect and form a right angle.
PLEASE SOMEONE DO THIS FOR ME: Determine the x - and y - intercepts of the following linear function: 4x + 8y =16
4x+8y=16
4x/4+8y/8=16÷4/8
x+y=16×8/4
x+y=16×2
x+y=32
find the percent of the number
105% of 400
Answer:
105% of 400 is 420, the percent is 42000%
Step-by-step explanation:
Help me please!!!!!!
Answer:
c
Step-by-step explanation:
Since the perimeters are equal, then equate the perimeter expressions, that is
4(x - 2) = 6([tex]\frac{1}{2}[/tex] x + 5) ← distribute parenthesis on both sides
4x - 8 = 3x + 30 ( subtract 3x from both sides )
x - 8 = 30 ( add 8 to both sides )
x = 38
Substitute x = 38 into either of the 2 perimeter expressions
perimeter = 4(x - 2) = 4(38 - 2) = 4 × 36 = 144 in → c
Hello just need help with the last question!
Will mark brainliest :)
At the theater, the Garcia family bought 2 adult tickets and 3 children's tickets for $44.50. The Smith family bought 3 adult tickets and 6 children's tickets for $78. Find the price of an adult ticket and the price of a children's ticket.
Answer:
Adult= $11
Children = $7.5
Step-by-step explanation:
Let x represent adult ticket and y represent children ticket
2x + 3y= 44.50........equation 1
3x + 6y= 78........equation 2
From equation 1
2x + 3y= 44.50
2x= 44.50-3y
x= 44.50-3y/2
Substitute 44.50-3y/2 for x in equation 2
3x+ 6y= 78
3(44.50-3y/2) + 6y= 78
66.75- 4.5y +6y= 78
66.75 + 1.5y= 78
1.5y= 78-66.75
1.5y= 11.25
y= 11.25/1.5
y = 7.5
Substitute 7.5 for y in equation 1
2x + 3y = 44.50
2x + 3(7.5)= 44.50
2x + 22.5= 44.50
2x = 44.50-22.5
2x= 22
x= 22/2
x= 11
Hence the price of adult ticket is $11 and the price of children ticket is $7.5
Answer:
Answer:
Adult= $11
Children = $7.5
Step-by-step explanation:
Let x represent adult ticket and y represent children ticket
2x + 3y= 44.50........equation 1
3x + 6y= 78........equation 2
From equation 1
2x + 3y= 44.50
2x= 44.50-3y
x= 44.50-3y/2
Substitute 44.50-3y/2 for x in equation 2
3x+ 6y= 78
3(44.50-3y/2) + 6y= 78
66.75- 4.5y +6y= 78
66.75 + 1.5y= 78
1.5y= 78-66.75
1.5y= 11.25
y= 11.25/1.5
y = 7.5
Substitute 7.5 for y in equation 1
2x + 3y = 44.50
2x + 3(7.5)= 44.50
2x + 22.5= 44.50
2x = 44.50-22.5
2x= 22
x= 22/2
x= 11
Hence the price of adult ticket is $11 and the price of children ticket is $7.5
Step-by-step explanation:
3x² = 6 blah blah blah
Answer:
x= square root of 2 blah blah blah
Step-by-step explanation:
Answer:
x= square root of two
Step-by-step explanation:
PLEASE HELP!!!! MATCH THE ANSWERS!! WILL GIVE BRAIN PLEASE!!!!
Answer:
Range - a is y<k
Range + a is y>k
Doman always all real numbers
Step-by-step explanation:
Answer:
domain- always all real numbers
and im not too certain about the last 2 but im pretty sure that
range-a is less than or equal to whereas range+a is more than or equal to.
What is an equation of the vertical line that passes through (−2, −9)?
x=?
Answer:
x = -2
Step-by-step explanation:
Use the figure to find the measure of <6. Explain your reasoning.
2 points
152
2
4
5
6
8
S
Your answer
Answer:
∠ 6 = 28°
Step-by-step explanation:
152° and ∠ 5 are corresponding angles and are congruent, then
∠ = 152°
∠ 5 and ∠ 6 are adjacent angles and are supplementary, thus
∠ 6 = 180° - 152° = 28°
Helpppp plzzzzzzzzz plzzzzzzzzz
-4,-9/4, 1/2,s.r. 5, 3.7
Please help. Solve 9= -3(x + 6)
Answer:
x=-9
Step-by-step explanation:
9=-3(x+6)
9=-3x-18
27=-3x
-9=x
Heres a graph of a linear function. Write the equation that describes that function.
Answer:
Y=[tex]\frac{1}{3}[/tex]X-4
Step-by-step explanation:
Using the slope-intercept equation, a line is given as y=mx+b, where m represents the slope and b represents the y-intercept. From this graph, we can see that the slope is 1/3 and this line meets the y-axis at -4.
Thus, using that information, we substitute this into the equation to get
y= (1/3)x - 4
please help i cant figure this out
Tyson has a collection of 60 sports ribbons. Of these ribbons, 30% are first place ribbons, 45% are second place ribbons, and the rest are third place ribbons. How many third place ribbons are in Tyson’s sports ribbon collection?
answers:
27
32
15
18
Answer:
15
Step-by-step explanation:
First do, 30% + 45% = 75%. Then do, 100-75=25.
Lastly,
proportions:
x/60 = 25/100
So your answer is, 15.
A television is on sale for 20% off its original price,p. Write a multiplication expression to
describe the sale price of the television.
A. 0.20p
C. 0.20p + P
D. p-0.20p
B. 0.20p-p
sale price of the television is c
* EASY * how many like terms are in the expression?
14x - 14y +7 - x + z +2x
A. 0
B. 2
C. 3
D. 5
Answer:
It’s either 2 or 3 but I’m say 2.
You are going on a trip. To get to the beach, you have to drive 475 miles. If you can average 50 miles per hour on your drive, which equation shows how much farther you have to drive over time?
Answer:
C= -50x+475
Step-by-step explanation:
Step one:
given data
distance travelled = 475miles
velocity = 50miles per hour
let the distance you cover per hour be x
hence per hour, your distance decreases by 50x hours
Required:
The expression for the distance remaining
Step two:
let the distance remaining be C
hence the expression
C= -50x+475
Answer:
The answer is in the picture.
question number five
Answer:uhhh
Step-by-step explanation:
What is the solution to the equation 2/3x+1=1/6x-7?
O X=-16
O x=-4
O x=4
OX = 16
Answer:
The answer is x=-16.
Step-by-step explanation:
I cant give you the step by step explanantion but I can later! I hope this helps thoough!
Answer correctly please !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!!
Answer:113
Step-by-step explanation:
I’m not really sure but the exterior angle lies on a straight line meaning that it has to amount to 180 degrees. 67 + x =180 so x = 180-67 which is 113. But I’m not entirely sure bout this.
Step-by-step explanation:
67-180=113
x=113
and the third corner =15 degrees
Adam has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $24 each week to buy clothes and food. What is the maximum number of weeks that Adam can withdraw money from his account?
Please help I will mark as brilliant answer.
Answer:
Step-by-step explanation:
if he has 500 and wants to have 200 left subtract 500-200=300
then if he spends 24 each week divide 300/24=12.5
the maximum number is 12 because cant have a remainder
at the end of the summer he would have 212 left.. 12x24=288..500-288=212
Answer:
12 weeks .
Step-by-step explanation:
24 x 12 = 288 . 24 x 13 = 312 .
500 - 288 = 212 . 500 - 312 =188 .
its 12 because if you do 13 its to below the price so you'll have some change left .
Determine square of -p+6
Answer:
-12p+p^2+36
Step by step explanation:
(-p+6)^2 is the square of -p+6
we use the formula
(a+b)^2=2ab+a^2+b^2
(-p+6)^2=-12p+p^2+36
the minus of p disappears
I think you meant to say the SQUARE ROOT.
sqrt{-p + 6}
If you meant to SQUARE THE BIMOMIAL, then the set up is:
(-p + 6)^2
(-p + 6)(-p + 6)
p^2 -12p + 36
Explain two different ways to find a new value after an original value is increased by 30%.
Please help me.
Answer:1
Step-by-step explanation:
A small company has one color printer and one black-and-white printer, each printing at different rates. The color printer, working for 5 minutes and the black-and-white printer working, working for 3 minutes, print a total of 70 pages. When the black-and-white printer works for 6 minutes and the color printer works for 9 minutes, they print a total of 135 pages. This is modeled by the situation below, where b is the number of pages per minute of the black-and-white printer and c is the number of pages per minute of the color printer 3b + 5c = 70 and 6b + 9c = 135 How many pages per minute does the black-and white printer print?
Answer:
The black-and white printer print can print 15 pages per minute.
Step-by-step explanation:
The given modeled equations are
3b + 5c = 70...(i)
6b + 9c = 135...(ii)
where b is the number of pages per minute of the black-and-white printer and c is the number of pages per minute of the color printer.
From equation (i), we have
[tex]3b=70-5c \\\\\Rightarrow b = \frac {70-5c}{3} \cdots(iii)[/tex]
Now, substitute the value of b in equation (ii), we have
[tex]6\times \frac {70-5c}{3}+9c=135 \\\\\Rightarrow 2(70-5c)+9c=135 \\\\\Rightarrow 140 - 10c+9c=135 \\\\\Rightarrow -c=135-140=-5 \\\\\Rightarrow c=5x^{2}[/tex]
By using equation (iii), we have
[tex]b = \frac {70-5\times5}{3}=\frac{45}{3}=15[/tex]
Hence, the black-and white printer print can print 15 pages per minute.
The black-and-white printer can print 15 pages per minute.
Given equations:
[tex]3b+5c=70[/tex] ........(i)
[tex]6b+9c=135[/tex] ........(ii)
Where b is the number of pages per minute of the black-and-white printer and c is the number of pages per minute of the color printer.
Solve the system of equations by substitution method
From (ii)
[tex]6b=135-9c\\b=\frac{135-9c}{6}[/tex] ........(iii)
Put the value of b in (i), we get
[tex]3(\frac{135-9c}{6} )+5c=70\\\frac{135-9c}{2} +5c=70\\135-9c+10c=140\\c=5[/tex]
put c = 5 in (iii)
[tex]b=\frac{135-9(5)}{6} =\frac{90}{6} =15[/tex]
Therefore, The black-and-white printer can print 15 pages per minute.
For more information:-
https://brainly.com/question/901589
vi. Which one of the following is NOT a perfect square?
a. 625
b. 156
c. 196
Answer:
b. 156
Step-by-step explanation:
A "perfect square" is the product of an integer that is being multiplied by itself.
Choice a, 625, is a perfect square because it is the product of 25 multiplied by itself.
25 x 25 = 625Choice b, 156, is not a perfect square because you cannot find any integer that can be multiplied by itself that will result in 156 as a product. Therefore, this is the correct answer.
Choice c, 196, is a perfect square because it is the product of 14 multiplied by itself.
14 x 14 = 196A worker is spray painting doors. It takes LaTeX: \frac{2}{5} 2 5 of a can of spray paint to paint 1 door. The worker has 2 cans of spray paint total. How many doors can the worker paint? Group of answer choices
Answer:
5 doors
Step-by-step explanation:
Can of spray paint : door painted = 2/5 : 1
The worker has 2 cans of spray paint total.
How many doors can the worker paint?
Let x = number of doors the worker can paint
Can of spray paint : door painted
2 : x
Equate both ratios
2/5 : 1 = 2 : x
2/5 ÷ 1 = 2/x
2/5 × 1/1 = 2/x
2/5 = 2/x
Cross product
2 * x = 5 * 2
2x = 10
x = 10/2
x = 5 doors
The worker can paint 5 doors with 2 cans of spray paint
Bruce used a $20 to pay for a movie ticket for $7.50, popcorn for $3.95,and a drink for $2.25 1.How much money did Bruce spend in all? 2. How much change did he get back?
Answer:
1. $13.7
2. $6.3
Step-by-step explanation:
Bruce used a $20 to pay for a movie ticket for $7.50, popcorn for $3.95,and a drink for $2.25
1. How much money did Bruce spend in all?
$7.50 + $3.95 + $2.25
=$13.7
2. How much change did he get back?
= $20 - $13.7
= $6.3
A bank account has a beginning balance of $460.00. After 6 months, the balance in the account has increased to
$465.75. What interest rate is being earned annually on this account?
****************DISCLAIMER****************
might not be right, im pretty sure tho
Answer:
the annual interest return rate is .025 i believe.
Step-by-step explanation:
after 6 months the money increased by 5.75 bucks.
the 6 month return rate was .0175, so double that to get the annual rate.