Answer:
a₁₀ = 32
Step-by-step explanation:
the sequence is arithmetic since there is a count on , a common difference
the nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₂ = 8 and a₅ = 17 , then
a₁ + d = 8 → (1)
a₁ + 4d = 17 → (2)
subtract (1) from (2) term by term to eliminate a₁
3d = 9 ( divide both sides by 3 )
d = 3
substitute d = 3 into (1)
a₁ + 3 = 8 ( subtract 3 from both sides )
a₁ = 5
Then
a₁₀ = 5 + (9 × 3) = 5 + 27 = 32
Mark is going to an awards dinner and wants to dress appropriately. He is running behind schedule and asks his little brother to randomly select an outfit for him. Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of his possible outfits are listed below. Let A AA be the event that Mark's little brother selects an outfit with black slacks and B BB be the event that he selects an outfit with a blue shirt. What is P ( A or B ) P(A or B)P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that Mark's little brother selects an outfit with black slacks or an outfit with a blue shirt? Shirt Slacks Tie Outfit 1 11 Blue Black Red Outfit 2 22 Blue Grey Red Outfit 3 33 White Black Red Outfit 4 44 White Grey Red Outfit 5 55 Black Black Red Outfit 6 66 Black Grey Red
Answer:
The answer is "[tex]\bold{\frac{2}{3}}[/tex]".
Step-by-step explanation:
Pick a shirt first: 3 choices
Pick slacks next: 2 choices
Then choose a tie: 1 choice
Total: [tex]3 \times 2 \times 1 = 6[/tex] outfits.
These will be similarly divided between the two slacks, so 3 black slack outfits of [tex]6 = \frac{1}{2}[/tex]. Similarly, the 6 styles are also divided between the option of 3 shirts. 2 blue shirt outfits [tex]6 = \frac{1}{3}[/tex]
To recognize that over outfits are a mix of a blue shirt and black slack, it would be twice many more to add [tex]\frac{1}{2} \ and \ \frac{1}{3}[/tex]. Add [tex]\frac{1}{2} \ and \ \frac{1}{3}[/tex], and remove the chance for both the black slack shirt and outfit and are one of the six outfits:
[tex]\to \frac{1}{2} + \frac{1}{3} -\frac{1}{6} =\frac{3+2-1}{6} =\frac{4}{6} = \frac{2}{3}[/tex]
you read 165 pages in 3 hours find the unit rate
Answer:
55 pages per hour
Step-by-step explanation:
You divide 165 by 3 = 55
Max ran 3 1/3 mile yesterday and 2 1/3 miles today. How far did max run in all?
Answer: 5 2/6
Step-by-step explanation:
Answer:
5 2/3
Step-by-step explanation:
3 1/3 + 2 1/3
10/3 + 7/3
= 17/3
= 5 2/3
I hope I helped!!
What about the other way up the mountain though, this car park starts at 191m with a total ascent metres of 1,000(100 Contour lines). And the distance to the top is shorter at 4km. So leaving at 11am, what time would you be expected to get to the café with no breaks? Walking pace, 3km per hour.*
Answer:
3
Step-by-step explanation:
Jon deposits $2000 into his account and pays at a rate of 4% per year. how much will he be paid in 3 years
the answer is 240
because 4% of 2000 is 80 so you just times 80 by 3 then you get 240
Determine if the two triangles are congruent.
Answer:
sas
Step-by-step explanation:
vertical angle stuffs
p=
A. i
B. -1
C. -i
D. 1
Answer:
la respuesta es capó la B
Step-by-step explanation:
xeos para rellenar ti dirección para saber cómo está buenardo que la mujer de mi celular no puedo consultar con ningún compañero
Simplify (3xy3141x?). Use ^ when identifying your exponents
My solution is:
??
Answer:
3x^2y^3141
Step-by-step explanation:
3
Gürkan bisikletiyle birinci gün 3.1 km, ikinci gun 4.5 km ve puncu
gun 4.25 km yol almıştır Gürkan üç günde toplam kaç km yol aims
tir? Tahmin ediniz Tahmininizi işlem yaparak kontrol ediniz.
tahmin etmek için yuvarlama yapmak gerekir 3,1=3 4,5=5 4,25=4,20 hepsini toplarsak 12,20
Great now I need help with another math problem!! Someone pls help me!!
Answer:
option c.............
Answer:
option c............
Step-by-step explanation:
y = 4x
bob has at least $5000 in savings. his savings balance is more than 3 times greater than his checking balance
Answer:
so then it to be 25000
Step-by-step explanation:
A recipe calls for 4 spoons of sugar for every 40g of flour if 240g of flour is used how much sugar would be needed
Answer:
24 spoons of sugar
Step-by-step explanation:
240/40= 6
6x4= 24
Can any one help me out
Answer: A
Step-by-step explanation:
Answer: (-7,3)
Step-by-step explanation:
A
Given the expression below, identify its factors.
3a + 4b– 7c - 12
Answer:
i dont think you can solve this because
The expression is not factorable with rational numbers.
there are no like terms
Triangles are similar Find the value of x.
Please i need help Thank you in advanced
28 1/3
Step-by-step explanation:
The scale factor is 5/3
Multiply 17 by 5/3.
28 1/3
Answer:
x=28.33 or 28 1/3
Step-by-step explanation:
12/17=20/x
12x=340
x=28.33
A sum of money is divided between Mohan and Sohan in the ratio 5:7 . If Sohan's share is ₹665, find the total amount.
please help me fast.
Answer:
1140
Step-by-step explanation:
7u-> 665
1u->95
7+5=12
12u->1140
please help i dont know how to solve
Answer:
31°
Step-by-step explanation:
Angle KLN and Angle MLN equal 160° as said in the directions.
So 2y° + (3y + 5)° = 160° –– Combine like terms
5y + 5° = 160° ––Subtract 5 from both sides
5y° = 155° –– Divide both sides by 5 to get y alone
y = 31°
10 points possible. answer everything completely and I will mark brainliest
Answer: A is a function. B is not a function. C is a function. D is not a function. E is not a function. F is not a function. G is a function. H is a function. I is not a function.
Step-by-step explanation:
O
What is the slope of the line passing through the points (4,-2) and (-5, 4)?
-3/2
-2/3
3/2
2/3
Answer:
B.) -⅔
Step-by-step explanation:
Subtract each variable
y¹-y
x¹-x
-2-4 = -6
4-(-5) = 9 -6/9 = -⅔
hi help again lol :)
Answer:
Please mark brainleiest
Step-by-step explanation:
Answer is B
Step-by-step explanation:
B if you divided all the y values by x you will get 0.9
Please answer will give brainlyest! :D
Let's just ignore memorizing any formulas for perimeters of a rectangle and just remember this!!
The opposite sides are the same right? and there are 2 pairs? that's why we just need to find one side in each pair and multiply the sum of them by 2!
Here we already know what 2 of the sides are! Therefore we find the sum.
((5/4)x+3)+3x-2= (17/4)x+1
Then we need to multiply this sum by 2
((17/4)x+1)*2=(17/2)*x+2
*Note I left the result as a fraction not a mixed number because this is how you are suppose to write it in higher math but if your teacher wants you to convert it into a mixed number, then go ahead!
Hope this helped!!
Answer:
P = (8.5x + 2)Step-by-step explanation:
Given
l = (5/4x + 3) and w = (3x - 2)Find the perimeter
P = 2(l + w)P = 2(5/4x + 3 + 3x - 2) = 2(17/4x + 1) = 17/2x + 2 = 8.5x + 2Classify the triangle 3 8 12
Evaluate the expression
[tex](3-1)^{3} +7(6)-5^{2}[/tex]
Step-by-step explanation:
(3-1)³ = (3³-1³)
= 27-1
=26
7(6) = 42
5² = 25
(3-1)³ + 7(6) - 5² = 26 + 42 -25
= 43
PLEASE HELP ASAP, GIVING BRAINLIEST TO CORRECT ANSWER
The vertices of parallelogram ABCD are (2,4), B(0, 0), C(6,2), and D(8, 6). Find the coordinates of the intersection of the diagonals.
Answer:
I believe it would be 4,3 not sure though
Step-by-step explanation:
Answer:
The answer would be 4,3
Step-by-step explanation:
Graph the points on a graphing calculator, that should help when you need to find diagonals
9. Which points are on the graph with the equation -6x + y = 6. Select all that apply.
A. (0,6)
B. (6,2)
C (-1,0)
D. (-2, 3)
Please answer
This would be your answer!
It is 42 1/2 miles from Eaton to Baxter, and 37 4/5 miles from Baxter to Wellington. How far is it from Eaton to Wellington, if you go by way of Baxter?
[tex]42 \frac{1}{2} + 37 \frac{4}{5} [/tex]
[tex]42 \frac{5}{10} + 37 \frac{8}{10} [/tex]
[tex] \frac{5}{10} + \frac{8}{10} = \frac{13}{10} = 1 \frac{3}{10} [/tex]
[tex]79 + 1 \frac{3}{10} = 80 \frac{3}{10} [/tex]
[tex]80 \frac{3}{10} \: \:miles \: or \: 80.3 \: miles[/tex]
//
Just double check that I did the right calculations
Three students in a painting class made green paint by mixing blue and yellow paint. The table below shows the comparison of ounces of blue paint to ounces of yellow paint that each student mixed. Whose green paint mixture has a yellow-to-blue unit rate of 6 ounces to 1 ounce?
Answer:
Clara
Step-by-step explanation:
what's
[tex](4 \sqrt{2} ) {}^{2} [/tex]
Answer:
32
Step-by-step explanation:
(4√2)^2=4^2×(√2)^2
=16×2
=32
A slide 4.1 meters long makes an angle of 35 degrees with the ground. To the nearest tenth of a meter, how far above the ground is the top of the slide?
Answer:
hope it helped
have a nice day
The distance between the ground and the top of the slide is 2.4 meters.
Given:
The length of the slide is 4.1 meters.
The angle between slide and ground is 35 degrees.
To find:
The distance between the ground and the top of the slide.
Explanation:
Let [tex]x[/tex] be the distance between the ground and the top of the slide.
Using the given information draw a figure as shown below.
In the below figure,
[tex]\sin 35^\circ=\dfrac{x}{4.1}[/tex]
[tex]\sin 35^\circ\times 4.1=x[/tex]
[tex]2.35166...=x[/tex]
[tex]x\approx 2.4[/tex]
Therefore, the distance between the ground and the top of the slide is 2.4 meters.
Learn more:
https://brainly.com/question/10589442
please help and quick cause im giving a lot of points
Answer: it might be C let me know if im wrong
Step-by-step explanation: