Answer:
The 90th term of the arithmetic sequence is 461.
Step-by-step explanation:
Arithmetic sequences concepts:
The general rule of an arithmetic sequence is the following:
[tex]a_{n+1} = a_{n} + d[/tex]
In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:
[tex]a_{n} = a_{1} + (n-1)*d[/tex]
In this question:
[tex]a_{1} = 16, d = 21 - 16 = 26 - 21 = 5[/tex]
So
90th term
[tex]a_{90} = a_{1} + (90-1)*d[/tex]
[tex]a_{90} = 16 + 89*5[/tex]
[tex]a_{90} = 461[/tex]
The 90th term of the arithmetic sequence is 461.
I really need help with this :((
Answer:
Step-by-step explanation
The two other forms are written form and expanded from. That first blank is for written from and the answer is four and eight-hundred twenty-sixth thousandths. For the other ones i think for the first blank it is 4 then 8 then 20 and then 6.
As caixas de lajota que serão utilizadas em uma construção devem ser transportadas do depósito para a obra. Um caminhão carregado com 280 caixas de lajota conclui o trabalho em 5 viagens. No mínimo, quantas viagens seriam necessárias para concluir esse trabalho se fosse utilizado um caminhão com capacidade para transportar 395 caixas de lajota em cada viagem?
Solve algebraically
8x + 4y = 48
12x + 5y = 21
Answer:
[tex]x=-\frac{39}{2}\\ y=51[/tex]
Step-by-step explanation:
[tex]8x+4y=48\\12x+5y=21[/tex]
Let's solve the first equation for x or y. I'll do it for y.
[tex]8x+4y=48[/tex]
Subtract 8x
[tex]4y=-8x+48[/tex]
Divide by 4.
[tex]y=-\frac{8}{4}x+\frac{48}{4}\\[/tex]
Simplify.
[tex]y=-2x+12[/tex]
Now replace the value of y in the second equation for this.
[tex]12x+5y=21\\12x+5(-2x+12)=21[/tex]
Distribute 5
[tex]12x-10x+60=21[/tex]
Subtract 60
[tex]12x-10x=21-60[/tex]
Combine like terms;
[tex]2x=-39[/tex]
Divide by 2.
[tex]x=-\frac{39}{2}[/tex]
Now replace this in any of the equations to find the value of y.
[tex]8x+4y=48\\8(-\frac{39}{2})+4y=48\\[/tex]
8 and 2 can be simplified.
8/2=4
2/2=1
[tex]4(-39)+4y=48[/tex]
Distribute 4.
[tex]-156+4y=48[/tex]
Add 156
[tex]4y=48+156\\4y=204[/tex]
Divide by 4
[tex]y=\frac{204}{4}[/tex]
[tex]y=51[/tex]
Proof:
[tex]8x+4y=48\\8(-\frac{39}{2} )+4(51)=48\\4(-39)+204=48\\-156+204=48\\48=48[/tex]
Find the hypotenuse of a right triangle with the side length of 7 and an angle of 64 degrees.
Answer:
16.0 (to 3 s.f.)
Step-by-step explanation:
Please see the attached picture for full solution.
4: From each corner of a square table a quarter of a circle is cut off. The sides of the square table are 5 cm. Each of the circular parts have a radius of 1 cm. Find the area of the shaded part of the square table in cm2.
The figures were not drawn to scale.
Answer: (25 – π)
The center of the circle is (3,2). The circle passes through (7,6). What is the radius ?
Answer:
Step-by-step explanation:
i’m not sure but add them
Answer:
square root of 32
Step-by-step explanation:
you have to take center and the point it passes and solve them
Find the slope of the line passing through the poin (- 3, 7) (2, - 6)
Answer:
[tex] \frac{13}{ - 5} [/tex]
Step-by-step explanation:
[tex] \frac{y1 - y2}{x1 - x2} \\ \frac{7 - ( - 6)}{ - 3 - 2} \\ \frac{7 + 6}{ - 5} \\ = \frac{13}{ - 5} [/tex]
Answer:
-2.6
Step-by-step explanation:
Slope or gradient is the ratio of the vertical (y axis) and horizontal distances (x axis) between two points on a line.
It should be noted that it is defined as zero if the line is horizontal, but undefined if it is vertical.
Given:
Coordinates (- 3, 7) (2, - 6)
y1 = 7, y2= -6, x1= -3, x2=2
Slope : ∆ y/ ∆ x
= (y2 - y1 )/ (x2 - x1)
= (-6 - (7))/ (2 - (-3))
= (-13)/(5) = -13:5= -2.6
Currency on hand = 2,000 Swiss francs Currency desired = Dutch guilders (Holland) How many guilders based on Wednesday rate? (Hint: Convert 2,000 Swiss francs to United States dollars. Then convert United States dollars into guilders.)
Answer:
4175.40384 Dutch guilders
Step-by-step explanation:
The main objective here is to convert the currency at hand (2,000 swiss francs) to Dutch guilders. In order to achieve that ; we need first require to convert the currency at hand into United states dollars
So ; if 1 swiss francs = 1.0328 united states dollars (as at Wednesday)
Then 2000 swiss francs will be = 2000 × 1.0328 united states dollars = 2065.6 united states dollars
SO; if 1 united states dollars = 2.0214 Dutch guilders ( as at Wednesday)
Then 2065.6 united states dollars will be = 2065.6 × 2.0214
= 4175.40384 Dutch guilders
Answer:
closest would be 3,500
Step-by-step explanation:
What is 5(4x plus 7y) equal to
Answer:
20x + 35y
Step-by-step explanation:
[tex]5(4x + 7y) \\ = 5 \times 4x + 5 \times 7y \\ \huge \red{= 20x + 35y}[/tex]
4. A plane was flying at an altitude of 55,000 feet when it began the descent toward the airport. The airplan
descends at a rate of 825 feet per minute.
A. What is the function rule that describes this situation?
B. What is the altitude of the plane after it has descended for 13 minutes? Show your work
C. Use the function in Part A to determine how long it takes for the plane to land if it descends at a
continuous rate.
Answer:
Step-by-step explanation:
A Descent rate,
B 10725ft,
C 25min
Factor the expression below.
x2 - 49
Answer:
(x+7)(x-7)
Step-by-step explanation:
These are perfect squares. Whenever you have perfect squares, you can take the square root of the constant. The constant is 49 in this case. The square root of 49 is + or - 7. Therefore, you get (x+7) and (x-7) as solutions. Factored form is (x+7)(x-7).
Easy 6th grade question please mark Brainliest and give extra points
Question The The point (0,1)
(
0
,
1
)
is reflected over the x- axis. What are the coordinates of the resulting point?
Answer:
it would be the same since its ON the x-axis ( the point does not change)
Step-by-step explanation:
A piepie is divided into 2020 equal pieces. GlennGlenn and SophieSophie each ate one fourth 1 4 of the piepie on MondayMonday. The next day, SophieSophie ate one fifth 1 5 of the piepie that was leftover. How many of the pieces of the original piepie remain? Explain your reasoning. Together, GlennGlenn and SophieSophie ate one fourth 1 4 piece(s) on MondayMonday, and SophieSophie ate one fifth 1 5 piece(s) the next day. To find the number of pieces that remain, add these numbers to the total number of pieces. So, 0.450.45 pieces of the original piepie remain.
Answer:
Pieces remaining = 1 - (1/4 + 1/4) - (1/2 x1/5) = 1/2 - (1/2 x1/5) = 1/2 - 1/10 = 4/10
Therefore, 4/10 x 20 = 8 pieces.
Step-by-step explanation:
Sophie ate 1/4 = 5 pieces
Glenn ate 1/4 = 5 pieces
Remaining pieces = 20 - 5 - 5 = 10 pieces
On Monday, Sophie ate = 1/5 x 10 = 2 pieces
Therefore, remaining pieces = 10 - 2 pieces = 8 pieces
Sophie and Glenn consumed half of the pie the first day. This is equal to 10 pieces. The remaining pieces will be 10. If, on Monday, Sophie ate 1/5 of 10 pieces, representing 2 pieces, the number left over is 10 Minus 2, which equals 8 pieces.
A salesperson receives a 2.5% commission on sales. What commission does the salesperson receive for $8000 in sales?
Answer:
Step-by-step explanation:
Commission =2.5% of 8000
[tex]=\frac{2.5}{100}*8000\\\\=2.5*80[/tex]
= $ 200
What is 0.35714285714 as a fraction?
Answer:
0.35714285714 as a fraction equals 35714285714/100000000000
Step-by-step explanation:
To write 0.35714285714 as a fraction you have to write 0.35714285714 as numerator and put 1 as the denominator.
Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.35714285714 = 0.35714285714/1 = 3.5714285714/10 = 35.714285714/100 = 357.14285714/1000 = 3571.4285714/10000 = 35714.285714/100000 = 357142.85714/1000000 = 3571428.5714/10000000 = 35714285.714/100000000 = 357142857.14/1000000000 = 3571428571.4/10000000000 = 35714285714/100000000000
I hope this helps :)
You have ten pigeons. You want to give these pigeons away to some of your friends. The first friend picks a number of pigeons of her choice for herself. After that you give away the remaining pigeons to the rest of your friends. If you give each of them 3 pigeons, 5 are left and if you give each of them 5 pigeons, 3 are left. How many pigeons did your first friend choose for herself?
Answer:
2
Step-by-step explanation:
You are holding a kite string in your hand. The angle of elevation from your hand to the kite is 44º and the distance to the kite is 250 feet.
Your hand is 5 feet above the ground. How high is the kite? Round your answer to the nearest tenth of a foot.
feet
De’Andre is determining the volume of the triangular prism below. Which expression will give him the correct value of B, the area of the base?
Answer:
the other person is incorrect it is 3 x 3 / 2
Step-by-step explanation:
this is my question
The volume of the given triangular prism is 31.4937 cubic inches
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
From the given triangular prism
Base side a =3 in
Base side b=3 in
Base side c=4.2
height h=7 in
The formula to find the volume of triangular prism
Volume = 1/4h√-a⁴+2(ab)²+2(ac)²-b⁴+2(bc)²-c₄
Substituting the values in the formula we get
Volume =31.4937
Hence, the volume of the given triangular prism is 31.4937 cubic inches
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ2
solve 25+8m =73 M=....
Answer:
25+8m=73
We move all terms to the left:
25+8m-(73)=0
We add all the numbers together, and all the variables
8m-48=0
We move all terms containing m to the left, all other terms to the right
8m=48
m=48/8
m=6
Answer:
[tex]m = 6[/tex]
Step-by-step explanation:
[tex]25 + 8m = 73 \\ 8m = 73 - 25 \\ 8m = 48 \\ \frac{8m}{8} = \frac{48}{8} \\ m = 6[/tex]
tan(-20°) = _____. -tan 20° tan 20° tan (-160°) -tan 160°
Answer:
-tan 20
Step-by-step explanation:
They have the same answer when typed in a calculator
Pls help me answer this if ur good at algebra. Thanks .
Answer:
Step-by-step explanation:
Answer of this question is 2
Answer:
Step-by-step explanation:
Justin did push-ups every weekend this week he did a push ups on Monday on Tuesday on Wednesday Sims push-ups on Thursday and a push-ups on Friday find the mean number of push-ups
Mean is just another name for average. To find the mean of a data set, add all the values together and divide by the number of values in the set. The result is your mean!
Answer:
Step-by-step explanation:
What is the slope of a line that is perpendicular to the line y= -1/2x + 5?
A. -2
B. -1/2
C. 1/2
D. 2
Answer: on else beans or torti
Solve using substitutions! Help w this question please!!
I hope this helps you
Please help meeeee
What are the key aspects of the graph of f(x) = x^2-b^2
where b is a real number?
Answer:
the graph has opposite x intercepts of b and -b. the graph has y intercepts at –b². the graph of the function symmetrical about the y-axis.
Step-by-step explanation:
YALL I NEED HELP MY DUMBSELF FORGETS TO DO THESE STUFF SMH
CAN U ALSO EXPLAIN HOW U GOT THE ANSWER PLZ THXX
I need to find the area
There different ways to think about 1 3/8- 1/1/8. Select three ways to find it
Answer:
1. 1 3/8- 1 /1/8
2. 11/8- 9/8
3. 1 3/8- 9/8
Step-by-step explanation:
write 42 as a product of prime factors
We can create a prime factorization tree using the multiples of 42:
42
21 2
7 3
We multiply the numbers that aren't divisble by anything.
7 * 3 * 2 = 42
Best of Luck!
what can i multiple to get 44.89
Answer:
6.7 times 6.7
Step-by-step explanation:
What is the solution to this system of equations graphed?
Write your answer as an ordered pair, for example (-4,5).
SEE PICTURE BELOW
Answer: (4,2)
Step-by-step explanation:
You can find the solution to a systems of equations graph by finding the point where the two lines intersect. In this case, they intersect at (4,2).
