Answer:
A(1) = 5
A(4) = 5.5
A(10) = 6.5
Step-by-step explanation:
An nth term formula works, whether for a arithmetic or geometric sequence, can be used to find any term in a sequence;
Simply substitute the number that corresponds with the position of the term you want to find and the formula will give the value of that term;
So:
A(1) = 5 + ⅙((1) - 1) = 5
A(4) = 5 + ⅙((4) - 1) = 5.5
A(10) = 5 + ⅙((10) - 1) = 6.5
HELP ASAP (40 POINTS)
Solve the equation.
16x^2 + 4 = 0
A: +/-4i
B: +/- 1/2i
C: +/- 1/4i
D: +/-2i
Answer:
c i think because the problem =-
[tex] - \frac{1}{4} [/tex]
A swimming pool is 20 feet wide and 40 feet long. If it is surrounded by a walkway of square tiles, each is 1 foot by 1 foot, how much area do the pool and walkway cover?
Answer:
124 tiles
Step-by-step explanation:
2(20+40)
2(60)
120+4=124
Choose the inequality that correctly represents the following sentence:
6 less than a number is at most 9.
Answer:
x - 6 ≤ 9
Step-by-step explanation:
using the keywords 'less than', 'a number', and 'atmost' we can identify the problem.
Find: (4x2y3 2xy2 â€"" 2y) â€"" (â€""7x2y3 6xy2 â€"" 2y) Place the correct coefficients in the difference. X2y3 xy2 y.
The required coefficient is 11,-4 and 0.
Given expression is,
[tex](4x^2y^3 + 2xy^2- 2y) -(-7x^2y^3 + 6xy^2-2y)[/tex]
we have to find the coefficient of the above expression.
ON solving the above expression,
[tex](4x^2y^3 + 2xy^2- 2y) -(-7x^2y^3 + 6xy^2-2y)=4x^{2} y^{3} +2xy^2-2y+7x^2y^3-6xy^2+2y[/tex]
[tex](4x^2y^3 + 2xy^2- 2y) -(-7x^2y^3 + 6xy^2-2y)=11x^2y^3-4xy^2+0y[/tex]
Hence from the above expression, it is clear that the coefficient of [tex]x^2y^3[/tex] is 11,[tex]xy^2[/tex] is -4 and [tex]y[/tex] is 0.
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A red die is tossed and a green die is tossed.what is the probability that a red die shows an even number or the green die shows an even number? Make sure your answer is reduced
Answer: 75%
Step-by-step explanation:
Since there are 3 even numbers on each die and 3 odd, each dice has a 50% chance of showing an even number.
An easier way to think about this might be what are the chances that both dice show odd, because that is the only scenario where neither show an even number.
To do this, simply multiply the chances together:
[tex]0.5 * 0.5 = .25[/tex]
Therefore, there is a 25% chance that both die will be odd, meaning there is a 75% chance that one or both of the dice show an even number
Kate is 11 45
years old. Karina is 1 16
years younger than Kate and Jane is 1 13
years younger than Karina. How old is Jane?
last question for this assiment
Answer:
B. Distinct Parallel lines.
Step-by-step explanation:
How many feet does each student climb after 10 steps?
Pilar climb 6.5 feet and Jake climbed 9.5 feet.
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
slope of pilar = 3-2/3-1 = 1/2
After 10 steps let the height covered by x.
then, slope= x-2/10-1
1/2 = x-2/ 9
9 = 2x -4
13 = 2x
x= 6.5 feet
now, slope of Jake= 8-5/7-1 = 3/6 = 1/2
After 10 steps let the height covered by y.
then, slope= x-5/10-1
1/2 = y-5/9
2y- 10 = 9
2y= 19
y= 19/2
y= 9.5 feet
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If the sum of difference of 13 and 4 divided 64 and 8 is subtracted from the result. Find that number. Mathematical equation plz.
Answer:
13+4=17,17/64=3-8=-5
Step-by-step explanation:
this is the solution
Step-by-step explanation:
Let x be the number subtracted from 13 such that the difference is 13-x
divide that resulting difference by 11, then it becomes (13 - x) / 11
Multiply the quotient by 8 then the expression becomes ((13-x)/11)^ * 8
the product comes to 8 then ((13-x)/ 11)^ * 8=8 solve the equation divide
both sides by 8, then (13 - x) / 11 = 1 cross multiply 13 - x = 11 add -13 to both sides - 13 + 13 - x = 11 - 13, - x = - 2 . x = 2 Therefore the number is 2
According to the Rational Root Theorem, the following are potential roots of f(x) = 2x2 2x â€" 24. â€"4, â€"3, 2, 3, 4 Which are actual roots of f(x)?.
Rational root theorems are used to determine the potential roots of a polynomial function
The actual roots are 3 and -4The potential roots are [tex]\pm0.5, \pm1, \pm 1.5, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24[/tex]The function is given as:
[tex]f(x) = 2x^2 + 2x - 24[/tex]
Expand
[tex]f(x) = 2x^2 + 8x - 6x - 24[/tex]
Expand
[tex]f(x) = 2x(x + 4) - 6(x + 4)[/tex]
Factor out x + 4
[tex]f(x) = (2x -6)(x + 4)[/tex]
Set to 0
[tex](2x -6)(x + 4) = 0[/tex]
Split
[tex](2x -6) = 0\ or\ (x + 4) = 0[/tex]
Make x the subject in both cases
[tex]2x = 6\ or\ x= -4[/tex]
Solve for x
[tex]x = 3\ or\ x= -4[/tex]
So, the actual roots are 3 and -4
Recall that, the function is:
[tex]f(x) = 2x^2 + 2x - 24[/tex]
For a function,
[tex]f(x) = px^n + ax^{n-1} +.......+q[/tex]
According to rational root theorem, the roots of f(x) are:
[tex]Roots = \pm \frac{Factors\ of\ q}{Factors\ of\ p}[/tex]
The roots of 24 are:
[tex]24 = \pm1, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24[/tex]
The roots of 2 are:
[tex]2 = \pm1, \pm2[/tex]
So, the possible roots are:
[tex]Roots = \frac{\pm1, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24}{\pm 1, \pm 2}[/tex]
This gives:
[tex]Roots = \pm1, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24,\pm0.5, \pm1, \pm 1.5, \pm 2, \pm 3, \pm 4, \pm6\pm 12[/tex]
Remove repetitions
[tex]Roots = \pm0.5, \pm1, \pm 1.5, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24[/tex]
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3 and -4 dudes and dudettes
edg2022
Right Triangle ABC has sides of length 5 units, 12 units and 13 units. The triangle is dilated by a scale factor of 3 around point B. What is the area of triangle A'B'C'?
Answer:
Step-by-step explanation:
Multiply each # by 3 so 15 36 39
(15x36)/2=270
I'm sorry if its wrong.
The area of the right-angle triangle A'B'C' will be 450 square units.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
Right Triangle ABC has sides of length 5 units, 12 units, and 13 units. The triangle is expanded by a scale element of 3 around point B.
Then the dimension of the right triangle is given as,
A'B' = 3 x 5 = 15 units
B'C' = 12 x 5 = 60 units
A'C' = 13 x 5 = 65 units
The area of the right-angle triangle A'B'C' will be given as,
A = (1/2) x 15 x 60
A = 15 x 30
A = 450 square units
The region of the right-point triangle A'B'C' will be 450 square units.
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Which function is represented by the graph? f(x) = â’|x â’ 3| 4 f(x) = â’|x 3| 4 f(x) = â’|x â’ 4| 3 f(x) = â’|x 4| 3.
Functions are used to represent graphs, and vice versa.
The function represented by the graph is [tex]f(x) =- |x + 4| + 3[/tex]
The graph (see attachment) is an absolute value graph.
An absolute value graph is represented as:
[tex]f(x) =a |x - h| + k[/tex]
Where
[tex]Vertex = (h,k)[/tex]
The vertex is the minimum or the maximum point on the graph.
So, we have:
[tex]Vertex = (-4,3)[/tex]
The function becomes
[tex]f(x) =a |x + 4| + 3[/tex]
The function also passes through the point (-1,0).
So, we have:
[tex]0 =a |-1 + 4| + 3[/tex]
[tex]0 =a |3| + 3[/tex]
Remove the absolute bracket
[tex]0 =3a + 3[/tex]
Subtract 3 from both sides
[tex]3a =- 3[/tex]
Divide both sides by 3
[tex]a =- 1[/tex]
Substitute -1 for (a) in [tex]f(x) =a |x + 4| + 3[/tex]
[tex]f(x) =- |x + 4| + 3[/tex]
Hence, the function represented by the graph is [tex]f(x) =- |x + 4| + 3[/tex]
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A flower bed is in the shape of a triangle with one side twice the length of the shortest side, and the third side is 19 feet more than the length of the shortest side. Find the dimensions if the perimeter is 167 feet.
Answer:
Please give Brainliest!
Step-by-step explanation:
The three dimensions are 36ft, 72ft, and 59ft.
One week Roger earned $425.50 regular pay and $60.50 overtime pay. His net pay for the week was $275.30. How much did he have withheld for deductions?
Answer:
He had $210.7 withheld for deductions
Step-by-step explanation:
Add his regular pay to his overtime pay
$425.50 + $60.50 = $486
After adding both his overtime and regular pay, he'd have $486. Now, take that and subtract his net pay
$486 - $275.30 = $210.7 :)
what is the constant proprotionality in the equation y =7x
Answer:
7
Step-by-step explanation:
y=kx is the general formula for direct proportion where k is the constant. In your equation instead of k there is 7 so 7 is the constant.
Aaden has a points card for a movie theater.
• He receives 20 rewards points just for signing up.
• He earns 2.5 points for each visit to the movie theater.
• He needs 40 points for a free movie ticket.
a
Write and solve an equation which can be used to determine x, the number of
visits Aaden must make to earn a free movie ticket.
What’s the awnser ?
Answer:
He needs 8
Step-by-step explanation:
40 - 20 = 20
2.5 x 8 - 20
aaden needs to visit the movies 8 more times
Answer:
8
Step-by-step explanation:
20+2.5x=40
x equal the number of visits adam need to make to earn a free movie ticket
2.5x=40-20
2.5x=20
x= 20/2.5
x=8
what value is equivalent to 5^2 x 5^2 A20 B425 C625 D80
If you could please help, what is the missing answer?
Thank you to anyone who helps out!
Answer:
48
Step-by-step explanation:
let s be the snowman, g be the girl, and t be the christmas tree
2s+g=24
2t+2ts=132
3t+2g=26
subtract 2 times the first equation from the third one to get
3t-4s=-22
from the second equation we can deduce
2t(1+s)=132
t(1+s)=66
t=66/(1+s)
Substitute:
3(66)/(1+s)-4s=-22
3(66)/(1+s)=4s-22
3(66)=(4s-22)(1+s)
3(66)=-18s+4s^2-22
4s^2-18s-220=0
using the quadratic formula, we get s = 10, s = -5.5.
2(10)+g=24
g=4
2t(1+10)=132
2t=12
t=6
So 2s+t*g= 20+6*4=48
you would get a different solution for the negative s, but since snowmen cannot be negative, 48 is the answe.r
In this task, you will use the linear data from Task 1 to compare the linear functions.
Answer: Part A. Olivia- y=x+4 Camille- idr.k but it increases by 1/2 ever time
Part B. The slope represents the rate of change and the y-intercept indicates the value of y when x is 0.
Part C. Olivia's puppy weighed the most. It weighed 5 pounds.
Part D. Camille's puppy only gained 1/2 a pound each week.
Step-by-step explanation:
The sunglasses cost €70
The exchange rate is €1 = £0.895
Emad says, “The sunglasses cost less than £60"
b) Using a suitable approximation, show that Emad is wrong.
Answer:
70 * 0.895 = 62.65
OR
1 0.895
70 x
-Cross-multiply
[tex]\frac{70 * 0.895}{1}[/tex] = 62.65
A flower bed is in the shape of a triangle with one side twice the length of the shortest side, and the third side is 19 feet more than the length of the shortest side. Find the dimensions if the perimeter is 167 feet.
PLS PLS HELP
At the craft store, Franklin bought a bag of red and brown marbles. He received 33 red marbles and 67 brown marbles. What percentage of the marbles were red?
Answer:
33% of the marbles were red
one of the same side exterior angles of two parallel lines is 20 degrees less than the other same side exterior angle find the measures of the two angles (pls help i will give 25 points)
Answer:
25 I am not a fan of the gas increases when the piston is pushed in the next war
Describe the end behavior of the function.
f(x)=3(1/5)^x-2
Answer:
The leading coefficient test requires a polynomial.
Not a polynomial
Step-by-step explanation:
Answer:
x → -∞, f(x) → ∞
x → ∞, f(x) → -2
Step-by-step explanation:
f(x) is an exponential function with a base less than 1. It represents decay, so will approach infinity as x approaches negative infinity. It will approach a horizontal asymptote for large positive x.
The -2 added to the exponential term moves the asymptote from y=0 to y=-2.
x → -∞, f(x) → ∞
x → ∞, f(x) → -2
the difference of x and 15 is 62 solve for x
Answer:
x is 77
Step-by-step explanation:
Answer:
x = (-77)
Step-by-step explanation:
The other one is wrong. He did it right, but he forgot the -.
help fast it due at 11pm
Answer:
multiplying 14/15 by 5 then dividing by 7
-3(8+j)=-16+5j
HELP ASAP NEED THIS DONE TONIGHT BEFORE MIDNIGHT
Answer:
j = -1
Step-by-step explanation:
Eliminate parentheses:
-24 -3j = -16 +5j
Add 3j+16
-8 = 8j
Divide by the coefficient of j.
-1 = j
[tex]\rm⇢ \: \: - 3(8 + j) = - 16 + 5j[/tex]
[tex]\rm⇢ \: \: - 24 - 3j = - 16 + 5j[/tex]
[tex]\rm⇢ \: \: 5j + 3j = - 24 + 16[/tex]
[tex]\rm⇢ \: \: 8j = - 8[/tex]
[tex]\rm⇢ \: \: j = - 1[/tex]
Hector is rewriting the expression 7 Superscript 11 in expanded form. How many terms will be multiplied in his rewritten expression? 2 7 11 12
Answer:
11
Step-by-step explanation:
An online retailer allows customers to rate items on a scale from −5 to 5. An item receives the scores −1.75, −1, 4.25, 3.75, 1, −4.75, and 2. Find the mean score. Write your answer as a decimal.
Answer:
mean = 0.5
Step-by-step explanation:
The mean of a set of data is calculated as
mean = [tex]\frac{sum}{count}[/tex]
= [tex]\frac{-1.75-1+4.25+3.75+1-4.75+2}{7}[/tex]
= [tex]\frac{3.5}{7}[/tex]
= 0.5
Need help i have attached images