Answer:26
Step-by-step explanation:
The value of f(3) is 26.
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given function:
f(x) = 5(x + 1) + 2x
as, we have to find the Sean running in week 3
So, f(3) = 5(3 + 1) +2 (3)
f(3) = 5(4) + 6
f(3) = 20 +6
f(3) =26
Hence, the value of f(3) is 26.
Learn more about function here:
https://brainly.com/question/12431044
#SPJ2
If the sum of the first nterms of an AP is 3 + 4n2.Find the 3rd, the 10th andthe nth terms.
Sum of first n terms of an AP – Sn = 3 + 4n²
Find:the 3rd, the 10th andthe nth terms.
Solution:Substitute the value of n as 1 to find the first term of the given AP.
(Sum of first 1 terms is nothing but the first term).
Hence,
⟹ S₁ = a = 3 + (4)(1)²
⟹ a = 3 + 4
⟹ a = 7
Now,
Substitute the value of n as 2 to find the sum of first 2 terms.
⟹ S₂ = a + a₂ = 3 + 4(2)²
⟹ a + a₂ = 3 + 16
Substitute the value of a here.
⟹ 7 + a₂ = 19
⟹ a₂ = 19 - 7
⟹ a₂ = 12
We know,
nth term of an AP – an = a + (n - 1)d
So,
a₂ = a + (2 - 1)d = a₂ = a + d.
Subtract a from a₂.
⟹ a + d - a = 12 - 7
⟹ d = 5
Now,
nth term = an = 12 + (n - 1)(5)
⟹ an = 12 + 5n - 5
⟹ an = 5n + 7
Substitute n as 3 & 10 , to find the 3rd & 10th terms.
★ a₃ = 5(3) + 7
⟹ a₃ = 8 + 7
⟹ a₃ = 15
★ a₁₀ = 5(10) + 7
⟹ a₁₀ = 50 + 7
⟹ a₁₀ = 57
Therefore,
Third term is 15
Tenth term is 57
nth term is 5n + 7.
I hope it will help you.
Regards.
Step-by-step explanation:
please see the attachment
Television regularly cost $180 but it is on sale for 40% off there is a 5% sales tax on the sale price how much does the television cost after the discount and sales tax
Step-by-step explanation:
180 × 0.4 (40/100)
= 72
40 percent of 180 is 72
180 - 72 = 108
108 is the sale price
108 × 0.05 (5/100)
= 5.4 dollars is the tax
108 - 5.4 = 102.6 dollars
Answer:
113.40
Step-by-step explanation:
$180-40% off then u get 108.00 then we add the 5% sales tax and get $113.50 thats your answer hope it help's.
7 9/16 ÷ 2 3/4. Anyone know the answer? plz share it with me
Help me please ......
Answer:
The answer is F(x) = x
Answer:
the answer is A F(x) = x
Step-by-step explanation:
happy to help!!
4^5 x 4^8 =
^^ Rewrite the following expression using each base only once.
Answer:
16^13
Step-by-step explanation:
4 times four =16
5 +8=13
The ratio of boys to girls in Ms. Toney's class is 5:7. If there are 60 students in all of her classes, how many are boys?
solve for x????????
Answer:
x = 6
Step-by-step explanation:
Step 1:
3x + 112 = 5x + 100 Vertical Angles
Step 2:
112 = 2x + 100 Subtract 3x on both sides
Step 3:
12 = 2x Subtract 100 on both sides
Step 4:
x = 12 ÷ 2 Divide
Answer:
x = 6
Hope This Helps :)
Answer:
6 is answer
Step-by-step explanation:
5x+100=3x+112
so 2x=12
x=6
-8 - x= -3(2x - 4) + 3x
Answer:
x = 10
Step-by-step explanation:
Leticia esta leyendo una novela, el primer dia leyo un tercio de las paginas del libro, el segundo dia leyo dos octavos de paginas del libro y el tercer dia leyo tres novenos de las paginas del libro.¿Cuanto le falta por leer
Answer:
A Leticia le falta siete doceavos de las páginas del libro por leer.
Step-by-step explanation:
Constatamos que la proporción de páginas por leer es igual a la totalidad de páginas menos las proporciones leídas durante los tres días:
[tex]r = 1 -r_{1}-r_{2}-r_{3}[/tex] (Eq. 1)
Donde:
[tex]r_{1}[/tex] - Proporción leída en el primer día, adimensional.
[tex]r_{2}[/tex] - Proporción leída en el segundo día, adimensional.
[tex]r_{3}[/tex] - Proporción leída en el tercer día, adimensional.
Si sabemos que [tex]r_{1} = \frac{1}{3}[/tex], [tex]r_{2} = \frac{2}{8}[/tex] y [tex]r_{3} = \frac{3}{9}[/tex], entonces la proporción de páginas por leer es:
[tex]r = 1-\frac{1}{3}-\frac{2}{8}-\frac{3}{9}[/tex]
[tex]r = 1-\frac{1}{3}-\frac{1}{4}-\frac{1}{3}[/tex]
[tex]r = 1-\frac{2}{3}-\frac{1}{4}[/tex]
[tex]r = 1-\frac{8-3}{12}[/tex]
[tex]r = 1-\frac{5}{12}[/tex]
[tex]r = \frac{7}{12}[/tex]
A Leticia le falta siete doceavos de las páginas del libro por leer.
NEED ANSWER WITH EXPLANATION ASAP!!! PLEASE HELPPPP!!!
Answer:
80
Step-by-step explanation:
Perry paid $85 for 5 tickets. Jackie paid $135 for 9 tickets. Who paid less per ticket? *
Answer:
Jackie
Step-by-step explanation:
Perry: 85/5 = $17 per ticket
Jackie: 135/9 = $15 per ticket
Answer:
Jackie
Step-by-step explanation:
Divide 135 by 9, and divide 85 by 5, you can see that one ticket for perry cost $17, while one ticket for jackie cost $15
Find the slope of the line y = 7x + 2.
Answer:
7
Step-by-step explanation:
Slope is always before x. So the slope is 7/1 or 7
Answer: The slope is 7.
Step-by-step explanation: If you see 7 (x), x is the slope so the answer is 7.
The whale swims down 300 feet to feed. What is the whale’s elevation now?
Answer:
-300
Step-by-step explanation:
0-300=-300
Select ALL lines that have a slope of 5/2*
A А.
B
с
D
E
Line A
Line B
Line C
Line D
Line E
Gambarlah grafik fungsi : → 3 − 1 dengan daerah asal bilangan real.
ITS VERY IMPRESSIVE I NEED YOUR HELP PLISH♀️
(BRAINLIEST)❤
Answer:
Here is the fruit pie....chart lol
Step-by-step explanation:
Hope this helps and have a great day!
6.3 cast a die a number of independent times until a six appears on the up side of the die. (a) find the pmf ???????????????? of ????, the number of casts needed to obtain that first six. (b) show that ∑???????????????? ???????????????? ???? 1. (c) determine ???????????? ???? 1, 3, 5, 7, ... ????. (d) find the cdf ???????????????? ???? ???????????? ???? ????????
Answer:
hello your question is incomplete attached below is the complete question
Answer : A) [tex]P_{x} (x) = P ( X = x )\\= (\frac{1}{6})(\frac{5}{6})^{x-1}[/tex]
B) attached below
C) P ( x = 1,3,5,7,----) = 6/11
D) F(x) = 1 - (5/6)^x
Step-by-step explanation:
A) probability of 6 appearing = 1/6
probability of 6 not appearing = 5/6
number of times a die is thrown = X
Hence PMF ( probability of mass function )
[tex]P_{x} (x) = P ( X = x )\\= (\frac{1}{6})(\frac{5}{6})^{x-1}[/tex]
where number of failures = x-1 , number of trials ( number of times a die is thrown ) = x
B) show that attached below
C) determine : P(X= 1,3,5,7..) ( attached below )
therefore P ( x = 1,3,5,7,----) = 6/11
d) find the CDF of F(x) = P( X ≤ x )
F(x) = 1 - (5/6)^x
PLEASE HELP ME OUT THIS IS DUE TODAY AND IDK WHAT TO DO
Point P′(5, −4) is the image of point P(2, 3) under a translation. What is the image of (6, −2) under the same translation?
A. (7, −1)
B. (13, −3)
C. (9, −9)
D. (3, 5)
Answer:
C. (9, -9)
Step-by-step explanation:
From Linear Algebra, we understand translations as the following vector sum:
[tex]P'(x,y) = P(x,y) +U(x, y)[/tex] (Eq. 1)
Where:
[tex]P(x,y)[/tex] - Original vector with respect to origin, dimensionless.
[tex]U(x,y)[/tex] - Translation vector, dimensionless.
[tex]P'(x,y)[/tex] - Translated vector with respect to origin, dimensionless.
If we know that [tex]P(x,y) = (2,3)[/tex] and [tex]P'(x,y) =(5,-4)[/tex], then the translation vector is:
[tex]U(x,y) = P'(x,y)-P(x,y)[/tex]
[tex]U(x,y) = (5,-4)-(2,3)[/tex]
[tex]U(x,y) =(5-2,-4-3)[/tex]
[tex]U(x,y) =(3,-7)[/tex]
Now, if we assume that [tex]P(x,y) = (6,-2)[/tex], then the translated vector is:
[tex]P'(x,y) =(6,-2) +(3,-7)[/tex]
[tex]P'(x,y) =(9,-9)[/tex]
Hence, the correct answer is C.
Answer: (9, −9)c
Step-by-step explanation:
A train is traveling at a sped of 60 miles per hour. What happens to the number of miles when the number of hours changes
Answer:
the speed eiether increces or decreces depending on if the number of hours go up or down.
How can you tell when one figure is a reflection of another figure?
A figure is a reflection of another figure if one is the (BLANK) of the other.
Cn somon hep me ->22(w+2)=77
Answer:
Exact form: w = 3/2
Decimal form: w = 1.5
Mixed-number form: w = 1 1/2
Step-by-step explanation:
hope this helps :)
Answer:
Step-by-step explanation:
22 times W is 22w
22 time 2 is 44
22w+44=77 subtract 77 and 44 gets you 33
22w=33 divide 33 and 22 gets you
w=1.5
Challenger Elementary School has 800 students. Every Wednesday, %12, percent of the students stay after school for Chess Club. How many students attend Chess Club on Wednesdays?
Answer:
Number of total student stay = 96
Step-by-step explanation:
Given:
Total number of student = 800
Student stay = 12%
Find:
Number of total student stay
Computation:
Number of total student stay = Total number of student x Student stay
Number of total student stay = 800 x 12%
Number of total student stay = 96
Solving two step equations on both sides
7 x - 2 = 10x + x + 6x
Answer:
-0.2 or -1/5
Step-by-step explanation:
divide both sides by factors that dont contain the variable (x)
Find the value of the equation
Answer:
-1
Step-by-step explanation:
3+2(-2)
3+(-4)
=-1
1 1/2 times 2 equals
Answer:
3
Step-by-step explanation:
========================================
Work Shown:
The mixed number 1 & 1/2 converts to
1 & 1/2 = 1 + 1/2 = 1 + 0.5 = 1.5
Then we multiply it with 2 getting
(1 & 1/2) times 2 = 1.5 times 2 = 3
-------------------
Another way you could do it
1 & 1/2 = 1 + 1/2 = 2/2 + 1/2 = 3/2
(1 & 1/2) times 2 = (3/2) times 2 = (3/2) * (2/1) = 6/2 = 3
PLSSS HELPPPP is algebra 1 i will give you the brainliest
Answer:
The last one
Step-by-step explanation:
Had a question similar to that
Find the value of the expression: 13/16 + (-3/4) =
Answer:
Step-by-step explanation:
1. make common denominators
13/16-12/16
1/16
The cost of 2.5 pounds of cheese is $5.60.
PLEASE DO THESE STEPS
A. What is the cost of one pound of cheese? Type your answer in the box.
B. Mrs. Peterson bought 4.75 pounds of cheese. How much money did Mrs. Peterson spend on cheese?
D. How could you find the cost for 5 pounds of cheese without finding the cost per pound? Type your answer in the bo
Answer:
Step-by-step explanation:
Given
cost of 2.5 pounds of cheese is $5.60.
To get the cost of one pound, we will use the equality postulate:
2.5 pounds = $5.60
1 pound = $x
cross multiply;
2.5x = 5.60
x = 5.60/2.5
x = $2.24
Hence one pound of cheese will cost $2.24
b) If Mrs. Peterson bought 4.75 pounds of cheese, to get the amount she paid, we will say:
1 pound = $2.24
4.75pounds = y
cross multiply
1*y = 2.24 * 4.75
y = $10.64
Hence the cost of 4.75pounds is $10.64
c) To find the cost of 5 pounds, we can use the fact that 2.5 pounds of cheese cost $5.60;
hence 2.5 pounds = $5.60
5 pounds z
cross multiply
2.5z = 5*5.60
z = 5*5.60/2.5
z = 2*5.60
z = $11.2
Hence the cost of 5 pounds of cheese is $11.2
600 miles divided by 28
Answer:
21.4285714 miles
Step-by-step explanation:
Answer: 21.4285714 miles. There you go!