Answer:
[tex]a_{87}=1119[/tex]
Step-by-step explanation:
Arithmetic sequence:
[tex]a_n=a_1+(n-1)d[/tex]
where d is the common difference between terms and n is the index of any given term.
Find the difference between the terms in the given sequence here:
[tex]14-1=13\\27-14=13[/tex]
Each term has a common difference of 13. Using that, you can write the equation for this sequence:
[tex]a_n=1+(n-1)13[/tex]
Finally, you can use this equation to find the 87th term by plugging in 87 for n:
[tex]a_{87}=1+(87-1)13\\a_{87}=1+(86)13\\a_{87}=1+1118\\a_{87}=1119[/tex]
Solve using substitution,
y = -3
x + 3y = -6
Please help
Answer:
x=3
Step-by-step explanation:
x+3(-3)=-6
x-9=-6
+9 +9
x=3
Answer:
x=3 y=-3
Step-by-step explanation:
solve for x then substitute x in the original problem then solve for y
Two polygons have a similarity ratio of 4:5. If the perimeter of the first one is 10 inches, then what is the perimeter of the second?
Group of answer choices
11 inches
8 inches
12.5 inches
15 inches
Convert the following fraction to a decimal.
Hi can someone please send me answers?
Answer:
61 campers will focus on hockey.
Step-by-step explanation:
86+53=139
139-200=61
Pls Help! Actually give a legit answer (NO LINKS!)
Answer:
unfortunately i cannot tell you the exact answers; however, i can suggest something instead. my suggestion is that if there's any math notes that are available, maybe you could look over them-then apply that to the problems.
Step-by-step explanation:
I hope this helps you!
Four times a number, minus 4, is equal to three times the number, plus 6. Find the number
Answer:
42
Step-by-step explanation:
Freddie can mow 3 lawns in 2 hours. Tom can mow 2 lawns in 1 hour. Who should be able to mow Mr. Smith's lawn faster?
Answer:
Step-by-step explanation:
Freddie rate of mowing=3/2=1.5 lawns /hr.
Tom's rate of mowimg=2 lawns/hr
so Tom can mow Smith's lawn faster.
What is the value of the fraction below?
Answer:
undefined.......it's infinity
Approximately what portion of the beaker is filled?
A.3/4
B. 1/2
C. 5/9
Answer:
The answer which I think is 3_4
Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !
Answer:
89) no 90) yes 91) yes 92) yes 93) yes
Step-by-step explanation:
use theorem of Triangle Inequality !! "the sum of two sides of a triangle must be greater than the third side" :)
Find the value of x
Answer:
i think r would be the same as q
Step-by-step explanation:
I believe it's an isosceles triangle, if there were a line going down the center, each half should be symmetrical, so q and r are the same angle.
Answer:
32.5
Step-by-step explanation:
A triangle's angles add up to 180 degrees
(2x+15)+x+(x+35)=180
x=32.5
WILL GIVE BRAINLIEST
PLEASE HELP 12 points
Answer:
D. The function approaches 1 as x approaches -infinity and infinity
Step-by-step explanation:
Step 1: Divide numerator and denominator by [tex]x^2[/tex]:
[tex]\frac{x^2-4}{x^2-9}=\frac{1-\frac{4}{x^2}}{1-\frac{9}{x^2}}[/tex]
Step 2: Notice that as x gets closer to infinity or negative infinity, x^2 gets closer to infinity, meaning that the expression approaches 1/1 =1
Answer the question for 20 points!!!!!
Answer:
4/6
Step-by-step explanation:
ok so you have 2/3 for 1 group. so for 2 groups youll just have to add 2/3 + 2/3 and that gives u 4/6
Find BC.
A
B
С
D
Ош
E
=
=
AD = 10.5
AB = 2
CE = 11.5
AE = 15
BC = [?]
=
=
Fnter
Answer:
1.5
Step-by-step explanation:
since the lone segment is 15 so add ab and ce and let bc be x
so 2+x+11.5=15
13.5 +x =15
x=1.5
Use the table. What is the total amount of electricity a computer, a television, and a heater use in 1 hour? Show your work.
Answer:
Step-by-step explanation:
1 minute is equal to 60 seconds. How many seconds are in 3 minutes, 37 seconds?
Answer:
217 seconds
Step-by-step explanation:
3 minutes = 180 seconds
180 seconds + 37 seconds = 217 seconds
Ivanna is saving money to buy a game. So far she has saved $12, which is 3/4 of the total cost of the game. How much does the game cost?
Answer:
24?
Step-by-step explanation:
sabihin nyo kung mali -_-
factor the given expression. 64x^3-343
Answer:
( 4 x − 7 ) ( 16 x 2 + 28 x + 49 )
Step-by-step explanation:
Answer:
(4x - 7) (16x^2 + 28x + 49)
Step-by-step explanation:
Since both terms are perfect cubes, factor using the difference of cubes formula, a^3 - b^3 = (a - b) (a^ 2 + a b + b^ 2 ) where a = 4 x and b = 7 .
click on the measure of the triangle.
Answer:
a
Step-by-step explanation:
because a
3/2 x 4/3 x 5/4… x 2006/2005
Answer:
1003
Step-by-step explanation:
The problem is a classic example of a telescoping series of products, a series in which each term is represented in a certain form such that the multiplication of most of the terms results in a massive cancelation of subsequent terms within the numerators and denominators of the series.
The simplest form of a telescoping product[tex]a_{k} \ = \ \displaystyle\frac{t_{k}}{t_{k+1}}[/tex], in which the products of n terms is
[tex]a_{1} \ \times \ a_{2} \ \times \ a_{3} \ \times \ \cdots \times \ a_{n-1} \ \times \ a_{n} \ = \ \displaystyle\frac{t_{1}}{t_{2}} \ \times \ \displaystyle\frac{t_{2}}{t_{3}} \ \times \ \displaystyle\frac{t_{3}}{t_{4}} \ \times \ \cdots \ \times \ \displaystyle\frac{t_{n-1}}{t_{n}} \ \times \ \displaystyle\frac{t_{n}}{t_{n+1}} \\ \\ \-\hspace{5.55cm} = \ \displaystyle\frac{t_{1}}{t_{n+1}}.[/tex].
In this particular case, [tex]t_{1} \ = \ 2[/tex] , [tex]t_{2} \ = \ 3[/tex], [tex]t_{3} \ = \ 4[/tex], ..... , in which each term follows a recursive formula of [tex]t_{n+1} \ = \ t_{n} \ + \ 1[/tex]. Therefore,
[tex]\displaystyle\frac{t_{2}}{t_{1}} \times \displaystyle\frac{t_{3}}{t_{2}} \times \displaystyle\frac{t_{4}}{t_{3}} \times \cdots \times \displaystyle\frac{t_{n}}{t_{n-1}} \times \displaystyle\frac{t_{n+1}}{t_{n}} \ = \ \displaystyle\frac{3}{2} \times \displaystyle\frac{4}{3} \times \displaystyle\frac{5}{4} \times \cdots \times \displaystyle\frac{2005}{2004} \times \displaystyle\frac{2006}{2005} \\ \\ \-\hspace{5.95cm} = \ \displaystyle\frac{2006}{2} \\ \\ \-\hspace{5.95cm} = 1003[/tex]
(Quick Please) 8x - 4 < -36 solve the equality show your work
Answer is -4
Step-by-step explanation:
8x-4< -36
8x < -36+4 (move [- 4] to the other side to find x)
8x < -32
8x < -4
Answer:
x < -4
Step-by-step explanation:
8x - 4 < -36
+4 +4 (Add 4 on both sides)
8x < -32
/8 /8 (Divide by 8 on both sides)
x < -4
A guy wire runs from the top of a cell tower to a metal stake in the ground. Jayden places a 8-foot tall pole to support the guy wire. After placing the pole, Jayden measures the distance from the stake to the pole to be 5 ft. He then measures the distance from the pole to the tower to be 21 ft. Find the length of the guy wire, to the nearest foot.
Answer:
length of the guy wire: 49.056
Step-by-step explanation:
here are the steps
Answer:
47 FT
Step-by-step explanation:
Check all that apply. If csc=13/12 then:
A. sec =12/13
B. COS =12/13
C. tan =12/5
D. sin =12/13
Answer:
A. sec =12/13×
B. COS =12/13×
C. tan =12/5✓
D. sin =12/13 ✓
Step-by-step explanation:
we know,
using Pythagoras formula,
p=12,h=13 ,b=?
h^2 =p^2 +b^2
b=5
so tan = p/b
=12/5
sin=p/h and cosec= h/p
D. sin =12/13
Factorise the following expressions.
a² + 8a + 16
Explanation :
________________________________
Factorizes:
⇒ a² + 8a + 16 = 0.
As we know that,
Factorizes the equation into middle term splits, we get.
⇒ a² + 4a + 4a + 16 = 0.
⇒ a(a + 4) + 4(a + 4) = 0.
⇒ (a + 4)(a + 4) = 0.
⇒ (a + 4)² = 0.
⇒a=-4.
Hence a=-4.
-9 - 5 this would help me a lot please
Answer:
-14
Step-by-step explanation:
Think of it like this-
subtracting a negative is like adding a positive, so all you have to do is add a negative sign to the sum after solving these sort of problems :>
Hope this helps!
A small toy rocket is launched from a 24-foot pad. The height (h, in feet) of the rocket t seconds after
taking off is given by the formula
h = - 2t^2+ 2t + 24.
How long will it take the rocket to hit the
ground?
Answer:
4 seconds
Step-by-step explanation:
Since we want to know the time when the height is 0, we can rewrite the problem as [tex]0=-2t^2+2t+24[/tex]. From there, we can plug it into the quadratic formula, which gives us [tex]\frac{-2-\sqrt{4-4(-2)(24)} }{2(-2)}[/tex](Since it's a real-world problem and we have a negative denominator, we won't be using the positive square root). We simplify this to get [tex]\frac{-2-\sqrt{196} }{-4}[/tex], then [tex]\frac{-2-14}{-4}[/tex]. Finally, we can calculate this to be 4 seconds.
HELPPP PLEASE!! HELPP ASAPP
Answer:
I would go option a
Step-by-step explanation:
Option 2
Step-by-step explanation:Option 2 is better because for option one after 15 years your going up $7500 and with option 2 your going up 14062.5 in 15 years.
Leora is finding the length of a horizontal line segment on a coordinate grid She subtracted the x coordinates and got
-17.5 What is her next step?
Add 17.5
Take the absolute value of -17.5
Add the y.coordinate values.
Round up to -17
Answer:
Take the absolute value of -17.5
Step-by-step explanation:
Answer:
2. Take the absolute value of ' - 17. 5 '
Step by Step Explanation:
The distance/length is always positive, so make sure to take the absolute value of -17.5
write an equation in slope-intercept form for the line that passes through (-2,2) and is parallel to 2x+4y=16
Answer:
y = -1/2x + 6
Step-by-step explanation:
We know that the slope intercept form of a line is .
Also, if two lines are parallel, they have the same slope. So re-writing the given equation 2x + 4y = 10 in the slope intercept form to find know its slope.
So the slope of the equation will be .
Finding the y-intercept (c):
Therefore, the equation of the line n slope intercept form that is parallel to 2x + 4y = 10 and passes through the point (8, 2) is y = -1/2x + 6.
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
Answer:
A = (0,1)
B = (1,-1)
C = (-1,-1)
Step-by-step explanation:
If this helped leave a brainliest