The [tex]17th[/tex] term of the arithmetic sequence is [tex]81[/tex]
An arithmetic sequence is a sequence of numbers produced by adding a fixed number, called the common difference, to a term in the sequence to get the next term of the sequence.
The formula for calculating the [tex]nth[/tex] term of a sequence is
[tex]a_n=a_1+(n-1)d[/tex]
where
[tex]a_n=\text{the nth term}\\a_1=\text{the first term}\\d=\text{the common difference}[/tex]
from the question
[tex]n=17\\d=5\\a_1=1[/tex]
from this information, we can calculate the [tex]17th[/tex] term of the sequence thus
[tex]a_n=a_1+(n-1)d\\a_{17}=1+(17-1)\times5\\=81[/tex]
so, [tex]a_n=81[/tex]
Learn more about arithmetic sequences here: https://brainly.com/question/16130064
Write an equation of the line that passes through (-1,3) and is parallel to the line y = -3x + 2.
Answer:
y = - 3x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 2 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes , then
y = - 3x + c ← is the partial equation
To find c substitute (- 1, 3 ) into the partial equation
3 = 3 + c ⇒ c = 3 - 3 = 0
y = - 3x ← equation of parallel line
Answer:
y = -3x
Step-by-step explanation:
△ABC has vertices A(1,1) B(5,5) and C(4,6)
What is the perimeter of △ABC
What is the area of △ABC? Show your work.
Length in units:
Use phytogoras theorem or measure it by a ruler if your using a graph paper
AB = 5.65 units
AC = 5.83 units
CB = 1.41 units
Perimeter =5.65 + 5.83 + 1.41 = 12.89 units
Area = 1/2 * 1.41 * 5.65 = 3.98units
What is [-2,-4] and [1,0]
Answer:
m=4/3
Step-by-step explanation:
truncate 4087.2 to the tens
Answer:
4080
Step-by-step explanation:
When the number is truncated to the tens place, the digits to the right of that place are made to be zero. The truncated value is ...
4080
_____
When a number is truncated, there is no rounding.
Anyone able to help
Just question 6 please
Answer:
C)
Step-by-step explanation:
Have a great day
Find the simple interest and amount in each of the following:
(a) P = $1800 R = 5% T = 1 year
(b) P = $2600 R = 12% T = 3 years
(c) P = $3125 R = 15% T = 73 days
(a)
[tex]SI = \frac{PRT}{100} \\ = \frac{1800 \times 5 \times 1}{100} \\ = 18 \times 5 \\ = 90[/tex]
Total amount = SI + Amount
= 90 + 1800 = $1890
(b)
[tex]SI = \frac{PRT}{100} \\ = \frac{2600 \times 12 \times 3}{100} \\ = 26 \times 12 \times 3 \\ = 26 \times 36 \\ = 936[/tex]
Total amount = SI + Amount
= 936 + 2600 = $ 3236
(c)
[tex]SI = \frac{PRT}{100} \\ = \frac{3125 \times 15 \times 0.2}{100} \\ = 93.75[/tex]
Total amount = SI + Amount
= 93.75 + 3125 = $ 3,218.75
The simple interest on $1800 is $90.
The simple interest on $2600 is $936.
The simple interest on $3125 is $93.75
What are the simple interests?Simple interest is when interest is earned only on the amount of money deposited.
Simple interest = amount deposited x time x year
1800 x 0.05 x 1 = $90
2600 x 0.12 x 3 = $936
3125 x 0.15 x (73/365) = $93.75
To learn more about simple interest, please check: https://brainly.com/question/27328409
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3 Z The quadratic equation whose roots twice the roots of :2X2-8X+5=0
if you multiply the number by to end at 4 the results you gave will be the same of three times the number decreased by 7
Answer:
11
Step-by-step explanation:
Let the number be x,
2x+4 = 3x-7
Collect like terms
2x-3x= -4-7
-x =. -11
Multiply both sides by -1
x. =. 11
Oh and I think you made a typo and missed the 2, " if you multiply the number by 2 to end at 4..........."
Hope This Helps :)
Please Help, And Include Explanation. I will Give Brainliest To Best Answer
Answer: what’s the question I would love to help but there’s no question maybe try to post it again and I will see if I can answer?
Answer:
No question so no answer (just getting points i guess)
Step-by-step explanation:
What are three solutions of the inequality 29x+4<76?
=》29x + 4 < 76
=》29x < 76 - 4
=》29x < 72
=》x < 72/29
____
Hope it helps ⚜
[tex]29x +4 <76 \\\\\implies 29x < 76-4\\\\\implies 29x< 72\\\\\implies x<\dfrac{72}{29}\\\\\\\text{Decimal,} ~~~x<2.49\\\\\text{Interval,}~~ \left(-\infty, \dfrac{72}{29} \right)\\\\[/tex]
Look at the model. Name three equivalent fractions for the part that is shaded
Answer:
1. 2/6
2. 1/3
3. 3/9
Step-by-step explanation:
I've learned this before
Explain how to calculate and find 32% percent of 150.
Correct answer gets brainiest
Answer:
48
Step-by-step explanation:
You can easily find the percent of a number by multiplying the percent in decimal format (0.32) by the number you want to find the percent of.
150 * 0.32 = 48
Step-by-step explanation:
when finding the percentage of a number, multiply the number by the percentage's decimal form.
here's an example: 20% of 300
20% is 20/100 which is 0.20
now we just multiply
0.20×300=60
now for 32% of 150
32%--->32/100---->0.32
0.32×150=48
there you go! hope that helped
2 + 2 = ? plz help me
Answer:
2+2=4
Step-by-step explanation:
thats the Anewer I know that it
Answer:
4
Step-by-step explanation:
Same thing as 2 x 2 = 4
150 - 0.5 = 120 + 0.25
Answer:
149.5 = 120.25
Step-by-step explanation:
[tex](\sqrt[3]{5})^{2}[/tex]
Answer:
[tex](\sqrt[3]{5})^2=5^\frac{2}{3}[/tex]
Step-by-step explanation:
[tex](\sqrt[3]{5})^2[/tex]
[tex](5^{\frac{1}{3}})^2[/tex]
[tex]5^{\frac{1}{3}*2}[/tex]
[tex]5^\frac{2}{3}[/tex]
Remember that [tex](\sqrt[a]{x})^b=x^\frac{b}{a}[/tex]
Scale: 2inches = 1 ft
1.)Jenna's father is going to use the blueprint above to make a playhouse for her. The length of the entire first floor is 12 inches. What is the actual length?
2.)The width of the entire first floor it is 8 inches. What is the actual width?
3.)What scale factor did Jenna's father use to go from the drawing to the actual house?
4.)What is the perimeter of the first that floor Jenna's that father built?
5.) What is the area of the first floor that Jenna's that father built?
The actual lenght will be 6 fee
The actual width will be 4 feet
The scale factor that Jenna's father used to go from the drawing to the actual house is 1.5
The perimeter of the floor is 20 feet
The area of the first floor that Jenna's that father built is 24ft²
Given the conversion factor 2inches = 1feet
1) If Jenna's father is going to use the blueprint above to make a playhouse for her and the length of the entire first floor is 12 inches, the actual length in feet is expressed as:
12 inches = x
2inches = 1feet
_____________________________
2x = 12
x = 6 feet
Hence the actual lenght will be 6 feet
2) If the width of the entire first floor is 8 inches, the actual width is expressed as;
8 inches = x
2inches = 1feet
_____________________________
2x = 8
x = 4 feet
Hence the actual width will be 4 feet
3) Thee scale factor will be the ratio of the length to the width as shown:
Ratio = length/width
Ratio = 6/4
Ratio = 3/2
Hence the scale factor that Jenna's father used to go from the drawing to the actual house is 1.5
4) The perimeter of the floor = 2(L + W)
Perimeter = 2(6 + 4)
Perimeter = 2(10)
Perimeter of the floor is 20 feet
5) Area of the floor = length * width
Area of the floor = 6ft * 4ft
Area of the floow = 24ft²
Hence the area of the first floor that Jenna's that father built is 24ft²
Learn more on area and perimeter of rectangle here:https://brainly.com/question/19819849
-4-(-8) divided by 4
Answer:
1
Step-by-step explanation:
-4 minus -8 is the same as 8 - 4 which is 4 and 4 divided by 4 is 1.
Answer:
8
Step-by-step explanation:
What is the length of the radius of the circle given the equation ( x + 5)² + (y - 6)² = 49?
Answer:
center: (-5,6)
Radius: 7
Step-by-step explanation:
PLEASE HELP ASAP!!
Complete this item.
For the following figure, can you conclude that l || m? Select true or false.
Answer:
true
Step-by-step explanation:
Line l and line m are parallel to each other which means the statement is true.
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
The statement is True !
In the given figure, the two lines are parallel to one another ~ because pair of corresponding angles are equal.
what percent of 925is37
Answer:
4%
Step-by-step explanation:
to find percentage do 37 divided by 925 helps it helps :)
) Are 9:6 and 18: 12 equivalent?
Answer:
Yes
Step-by-step explanation:
9 18
_ = _
6 12
9*2=18
6*2=12
2=2 TRUE
Beverly is making peanut butter-banana bread. She always doubles the amount of nuts and peanut butter chips. The total amount of chips and nuts after doubling is 412 cups.
and plz get equation as well
Please Help
Find the area of a circle with radius,
r
= 87cm.
Give your answer rounded to 3 SF.
Step-by-step explanation:
so, to repeat, the radius r of the circle is 87 cm.
the area of a circle is
pi×r²
so, in our case
A = pi×87² = pi×7569 = 23,778.7148... cm²
so, how to give this answer with only 3 significant figures ?
as you can see, there are already 5 figures before the decimal point.
3 attempts :
1. 3 significant figures after the decimal point : 23778.715 cm²
2. scientific notation with 3 SF : 2.38×10⁴ cm²
3. converting to m² (1m² = 10000cm²) : 2.38 m²
Which graph represents f(x) = -1/4 x^6
Answer:
answer is B
Step-by-step explanation:
I used Desmos to graph the function
Pierson's Pet Palace has an 85 gallon fish tank. When it needs to be cleaned, it can be drained at a rate of 4 gallons per minute. Write an equation. help pls
Answer:
Step-by-step explanation:
The time it takes to empty the tank = 85/4 + 0.25 = 21.25 minutes.
- because it takes 21 minutes to empty 84 gallons and the last gallon takes
1/4 of a minute.
11/19% of a quantity is equal to what fraction of the quantity?
Answer:
57/10,000
Step-by-step explanation:
9/11% = 0.57% = 0.0057
57/10,000
If 3
persons can weave 168 shawls in 14 days, how many shawls will be
woven by 8 persons days?
Answer:Given that 3 persons can weave 168 shawls in 14 days. Then, Shawls are woven in 1 day by the 3 men = 168/14 = 12. Shawls are woven in 1 day ...
Step-by-step explanation:
Find the missing fraction __ -3/4=2/3
Answer:
17/12Step-by-step explanation:
x - 3/4 = 2/3
x = 2/3 + 3/4
x = 17/12
----------------
check
17/12 - 3/4 = 2/3
the answer is good
Is the relation below a function? If it is a function, state its domain.
{ (-2, 3) , (-2, -3) , (8, 1) , (3, 3)}
Answer:
not a function. domain = -2, 3, 8 (you don't have to write them in any specific order and you also don't need to write -2 twice)
Step-by-step explanation:
to be a function, all of the x's must be different
100-80 divided by 4+(6-3) using pemdas
Answer:88.57
Step-by-step explanation: If your doing PEMDAS you do () Wich is 6-3 and gives 3tyen you do Addition which is 4+3=7 Then do Subtraction which is 100-80 so the equation is 100-80/7=88.57 etc.