Answer:
a9=3×2^9-1
a9=3×2^8
a9=3×256
a9=768
an = -15 + 5(n – 1)
Find the 21st term of the sequence.
Answer:
[tex]a21 = - 15 + 5(21 - 1) \\ = - 15 + 105 - 5 \\ = 85[/tex]
85 the 21st term of the sequence.
What is Arithmetic progression?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
here, we have,
an = -15 + 5(n – 1)
so,
a_21= -15+(21-1)5
=-15+100
=85
Hence, 85 the 21st term of the sequence.
To lean more on Arithmetic progression click:
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What is the perimeter, in terms of x, of the triangle shown here?
(7x2 - 12)
(-5x + 30)
(3x2 + 4x)
Answer:
The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]
Step-by-step explanation:
We need to find perimeter, in terms of x, of the triangle shown here.
The length of side 1: [tex](7x^2 - 12)[/tex]
The length of side 2: [tex](-5x + 30)[/tex]
The length of side 3: [tex](3x^2 + 4x)[/tex]
The formula used to find perimeter of triangle is: [tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides[/tex]
Putting values and finding perimeter:
[tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides\\Perimeter\: of\: triangle=(7x^2 - 12)+(-5x + 30)+(3x^2 + 4x)\\Perimeter\: of\: triangle= 7x^2-12-5x+30+3x^2+4x\\Perimeter\: of\: triangle=7x^2+3x^2-5x+4x-12+30\\Perimeter\: of\: triangle=10x^2-x+18[/tex]
So, The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]
ASAP!!!
Is the relation in the table below a function?
Answer:
No
Step-by-step explanation:
A relation is a function if every x-value has exactly one y-value.
Because the x-value 1 has two y-values (-3 and 3), the relation is not a function.
Plotting (1, -3) and (1, 3) will produce a vertical line that intersects the function at two points.
Therefore, the relation is not a function.
Hope that helps.
2x-10+x-6=2
combing like terms..
2c +3= -11
Remember:
Answer:
-7
Step-by-step explanation:
Hey there
Let's solve your equation step-by-step.
2c+3=−11
Step 1: Subtract 3 from both sides.
2c+3−3=−11−3
2c=−14
Step 2: Divide both sides by 2.
2c/2 = -14/2
c=−7
Have a wonderful day
A rectangle measures 6 inches by 15 inches. If each dimension of the rectangle is dilated by a scale factor of 1/3 to create a new rectangle
Jim buys a skateboard for $200. The value of the skateboard depreciates by 15% each year
since buying it. Create a function to represent the value of the skateboard, f(2), in dollars,
after 3 years since buying it.
Answer: f(x)=200•(0.85)^x
Step-by-step explanation:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
Depreciation is often modeled as an exponential decay function. Since Jim bought a skateboard for Co=$200, its value will depreciate by r=15% = 0.15 each year since buying it.
Which graph best represents a function with range -4 ≤ y ≤ 3?
Answer:
3rd one
Step-by-step explanation:
The range of a function is the set of output values the function can take
The graph that represents the range [tex]-4 \le y \le 3[/tex] is graph (b)
The range of the function is given as:
[tex]-4 \le y \le 3[/tex]
The above inequality can be rewritten as:
[tex][-4,3][/tex]
This means that,
The output values start from -4 and ends at 3 (inclusive).The endpoints are closed values at -4 and 3The graph that represents this range is graph (b)
Read more about range at:
https://brainly.com/question/10878781
Marc is planning a holiday for 4 people for 7 days.
Here are the costs for the holiday for each person.
Travel
£250
Hotel
£50 for each day
Spending money £350
Work out the total cost of the holiday for 4 people for 7 days.
Answer:
£3,800
Step-by-step explanation:
The computation of the total cost is shown below;
Each person cost is
Travel cost £250 (assume for 7 days)
Hotel cost £50 × 7 days = £350
Spending money £350 (assume for 7 days)
Cost for each person is £950
Since there are four persons, so the total cost would be
= £950 × 4 peoples
= £3,800
When graphing and using the slope-intercept equation, the slope top number tells us to do what? and the bottom number tells us to do what?
Answer:
Rise over Run
Step-by-step explanation:
The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0.
Given m ||n, find the value of x.
(7X+9)
(9x+5)°
Answer:
x = 2Step-by-step explanation:
(7x + 9)° is corresponding angle to (9x + 5)° angle
Therefore:
m║n ⇒ (7x + 9)° = (9x + 5)°
(7x)° + 9° = (9x)° + 5° {subtract (7x)° from both sides}
9° = (2x)° + 5° {subtract 5° from both sides}
4° = (2x)° {divide both sides by 2°}
x = 2
A fish is 12 Meters below the surface of the ocean. what is it's evelation
Line segment AB has endpoints A(2, -3) and B(-4, 6). What are the coordinates of the midpoint of AB?
Write the following expression in exponential form: (2 points) 4.5 × 4.5 × 4.5 × 4.5 × 4.5 × 4.5 × 4.5
Answer:
The answer is [tex]4.5^7[/tex]
Step-by-step explanation:
This is because there are 7 copies of the same number and that means you have to put 7 at the exponential part of it. Then you have to put the original number under the exponential spot. Therefore, the answer is [tex]4.5^7[/tex].
Order the following set of numbers in ascending order (least to greatest): 2.007; 2.714; 2.09; 2.741; 2.07
Answer:
2.007;2.07;2.09;2.714;2.741
Step-by-step explanation:
2.007 is the least and 2.741 is the greatest
Answer: 2.007, 2.07, 2.09, 2.714, 2.741
Step-by-step explanation:
Find the area of the shape shown below plz help
Answer:
60? I'm really not sure mate, i'm really sorry if it's wrong.
Step-by-step explanation:
Please please please help!! I need this URGENT
Dan buys a car for £2700.
It depreciates at a rate of 1.4% per year.
How much will it be worth in 5 years?
Give your answer to the nearest penny where appropriate.
Answer:
So it depreciates at a rate of 1.4% so 25% a year and you do £2700 multiply by 25 each year £2700 multiply by 25 x 5 = £540 in 5 years
Step-by-step explanation:
Answer:
£
2516.22
Step-by-step explanation:
£
2516.22
answer these questions if ur smart
Answer:ayyyy more free points
Step-by-step explanation: so i can ask questions
\
plz help me
(a²-b²)²+a²b²
factorise
plzz
Answer:
a^4+b^4−a^2b^2
Step-by-step explanation:
Hayley's birthday party will cost $27 if she invites 3 guests. How many guests
can there be, at most, if Hayley can afford to spend a total of $36 on her
birthday party? Assume the relationship is directly proportional.
Answer:
imma say 12 guests
Step-by-step explanation:
sorry if wrong
Pls help I need help
Hehhehrhrh
Answer:
C) 11.4
Step-by-step explanation:
The slope of the line below is -3. Use the coordinates of the labeled point to
find a point-slope equation of the line.
Answer: y+7= 3(x-5) C
Step-by-step explanation:
Translate the sentence into an equation The sum of 5 times a number and 7 is 3
Use the variable b for the unknown number
HELPPPPPP
Answer:
Equation: 5b + 7 = 3
Step-by-step explanation:
Unknown number = b
5 times of number = 5b
Sum of 5b and 7 = 5b + 7
Equation;
5b + 7 = 3
A bike is on sale for 45% off of the regular price. If the sale price is $299.75, what was the original price?
Answer:
the original price is 545$
Step-by-step explanation:
299.75$ : 55$ = x : 100
55x = 299.75 x 100
55x : 29975
divide 29975 by 55 =
545
Because of prevailing winds, a tree grew so that it was leaning 6º from the vertical. At a point d = 37 meters from the tree, the angle of elevation to the top of the trees
is a = 29° (see figure). Find the height h of the tree. (Round your answer to one decimal place.)
h =
m
d m
Additional Materials
eBook
Answer:
Height of the tree is 40.0 meters.
Step-by-step explanation:
From ΔABC,
m∠ABC = 90°
Since, m∠ABC = m∠CBD + m∠ABD
90° = 6° + m∠ABD
m∠ABD = 90°- 6° = 84°
By triangle sum theorem in ΔABD,
m∠ABD + m∠BDA + m∠DAB = 180°
84° + 29° + m∠BDA = 180°
m∠BDA = 180° - 113°
= 67°
By sine rule in ΔABD,
[tex]\frac{\text{sin}(\angle BDA)}{d}= \frac{\text{sin}(\angle ABD)}{h}[/tex]
[tex]\frac{\text{sin}(67)}{37}= \frac{\text{sin}(84)}{h}[/tex]
h = [tex]\frac{\text{sin}(84)\times 37}{\text{sin}(67)}[/tex]
h = 39.98
h ≈ 40.0 meters
Therefore, height of the tree is 40.0 meters.
The sine rule is the ratio of the side length to the sine of the opposite angles. Then the height of the tree is 40 meters.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a triangle.
Because of prevailing winds, a tree grew so that it was leaning 6º from the vertical.
At a point d = 37 meters from the tree, the angle of elevation to the top of the trees is a = 29° (see figure).
∠ABC = 90
We have
In ΔABC
∠ABC = ∠CBD + ∠ABD
∠ABD = 90 - 6
∠ABD = 84
By triangle sum in ΔABD, we have
∠ABD + ∠BDA + ∠DAB = 180
∠BDA = 180 - 84 - 29
∠BDA = 67
Then by the sine rule, we have
[tex]\begin{aligned} \dfrac{\sin \angle BDA}{d} &= \dfrac{ \sin \angle ABD }{h}\\\\\dfrac{\sin 67}{37} &= \dfrac{\sin 84}{h}\\\\h &= \dfrac{\sin 84} \times 37{\sin 67}\\\\h &= 39.98 \approx 40 \end{aligned}[/tex]
More about the trigonometry link is given below.
https://brainly.com/question/22698523
Find the area of the parallelogram.
Answer:
12
Step-by-step explanation:
12 is the area
Since,
6×2=12
The library is having a book sale. Hardcover books sell for $4 each, and paperback books are $2 each. If Ayanna spends $26 for 8 books, how many hardcover books did she buy?
Answer: 6
Step-by-step explanation: I divided $26 by $4
Answer: I don't really know how to explain, but I will give you the straight up answer
5 HARDCOVER BOOKS (would total up to $20)
3 paperback books (would total up to $6)
Step-by-step explanation:
3.
Susan has a balance of $110 in her school lunch account, and she spends $6 per day for
lunch. Her sister Evelyn has $83 in her lunch account, and she spends $4 per day for lunch. In
how many days will Susan's lunch account balance be less than Evelyn's?
Answer:
i may be entirely wrong but evelyn has more days
susan=18
evelyn=20.75 or 21 if rounded
PLEASE, PLEASE HELP D:
write the linear equation given :
1. slope = 1/4; y-intercept =7
2. slope = -3; y-intercept = 2/3
3. slope = 2/3; y-intercept = 2/3
4. slope = -2; y-intercept = -1/2
5. slope = -3/4; y-intercept = -3
Answer:
1. y =1/4x + 7
2.y =-3x + 2/3
3. y =2/3x + 2/3
4.y =-2x - 1/2
5.y =-3/4x -3
Step-by-step explanation:
By using the slope- intercept form of the equation, y=mx + b, where m=slope and b=y-intercept, you can substitute the values of slope and the y-intercepts into the formula y=mx + b
pls help due asap
:..
Answer:
a
Step-by-step explanation:
