Answer:
[tex]f(3) = \frac{11}{2}[/tex]
[tex]f(5) = \frac{15}{2}[/tex]
[tex]f(17) =\frac{39}{2}[/tex]
Step-by-step explanation:
Given
[tex]f(n) = 3 + n - \frac{1}{2}[/tex]
Solving (a): The 3rd term
This implies that n = 3
So:
[tex]f(3) = 3 + 3 - \frac{1}{2}[/tex]
Take LCM
[tex]f(3) = \frac{6 + 6 -1}{2}[/tex]
[tex]f(3) = \frac{11}{2}[/tex]
Solving (b): The 5th term
This implies that n = 5.
So:
[tex]f(5) = 3 + 5 - \frac{1}{2}[/tex]
Take LCM
[tex]f(5) = \frac{6 + 10 - 1}{2}[/tex]
[tex]f(5) = \frac{15}{2}[/tex]
Solving (c): The 17th term
This implies that n = 17
So:
[tex]f(17) = 3 + 17 - \frac{1}{2}[/tex]
Take LCM
[tex]f(17) =\frac{6 + 34 - 1}{2}[/tex]
[tex]f(17) =\frac{39}{2}[/tex]
I will give brainliest
Answer:
Refer the attachment for explanation :
Gretchen has the highest ratio of blue and red marbles.
Hope it helps :)
A line that includes the point (7, 3) has a slope of -6. What is it equation in point-slope form?
Answer:
Y-3=-6(x-7)
Step-by-step explanation:
Y-y1=M(x-x1)
Y-3=-6(x-7)
Y-3=6x-42
Add 3 to both sides
Y=6x-39
Welp, I gave you slope intercept form and point slope form.
Cherries are $3.99 a pound at the local market. If you buy 6 pounds and pay 8% tax, how much is the total for the cherries?
Answer:
24.02 can i get brainliest
Step-by-step explanation:
Please hurry
Which table contains data with a nonproportional relationship?
Do you guys see 4 picture?
Answer: x
Step-by-step explanation:
What is four plus eight
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
you take the number 8 and then you add 4. and you find yourself with the answer 12
Solve the inequality for x= 1 + 2x > -23
Answer:
x = -12
Step-by-step explanation:
1 + 2x > -23
-1
2x > -24
x < -12
Can someone please help me complete the factoring of the polynomial
ANSWER AND EXPLAIN PLEASE ILL MARK BRAINLIEST!!!!!!!!!!!
Answer:
x = 1 and y = -2
Step-by-step explanation:
Given that,
2x-3y = 8 ..(1)
4x+3y = -2 ..(2)
Add equation (1) and (2),
2x-3y+4x+3y = 8+(-2)
6x = 6
x = 1
Put the value of x in equation (1).
2-3y = 8
2-8 = 3y
-6 = 3y
y = -2
Hence, the value of x is 1 and that of y is -2.
Please help!! Only correct answers please! (Easy?)
Answer:
sorry no can't do i have cancer
Step-by-step explanation:
The ratio of two numbers is 7 to 5. The sum of the numbers is 36. What are the numbers?
A. 26 and 10
B. 18 and 8
C. 21 and 15
D. 14 and 10
Answer:
Step-by-step explanation:
a/b=7/5
a=7b/5
a+b=36, using 7b/5 for a we have
7b/5+b=36
7b/5+5b/5=36
12b/5=36
12b=180
b=15, and since a=7b/5
a=7(15)/5
a=21
So the numbers are 21 and 15
Answer:
C is the correct answer please like for more
Give me the answer please
Acellus
Corresponding Angles are congruent.
Which angle corresponds with < 2?
4246 4342
4845 44141
«[?]
Enter
Answer:
<6
Step-by-step explanation:
Corresponding angles have the same matching corner when a transversal line crosses tow straight lines.
Thus, in the diagram given, the angle that has the same matching corner with <2 is the angle that corresponds to <2.
<6 has the same matching corner with <2.
Therefore, <6 corresponds with <2
Prove that the following triangles are similar?
Answer:
You have that:
angle N = angle Z
and
angle ZYX = angle NYM (because they are vertical angles
Since you have two congruent angles, you can say that the two triangles are similar according to the AA Triangle Similarity Postulate.
PLEASE HELP *I would also appreciate if you could show how you do the problem* I WILL MARK YOU BRAINIEST*
Answer:
x=2
Step-by-step explanation:
x=2 i believe. i apologize if incorrect
Answer:
I don’t know how to solve the equation with algebra tiles but here’s the answer without using them
4x-3=5
Add 3 to both sides of the equation to balance it out
4x=8
Divide both sides by 4 to get
x=2
The recipe calls for 2 2/4 but jams only have 1/4 how many cups do jams need to measure out 2 2/4 cups of raisins
Answer:
brainliest
Step-by-step explanation:
she needs altogether 2 2/4.
that is 2 wholes and 2/4 fraction.
if we consider using 1/4 cup, 1 whole is made of four quarter cups.
Therefore 2 wholes require eight quarter cups. then theres a remaining fraction of 2/4 which is equivalent to two quarter cups.
1/4 + 1/4 = 2/4. therefore altogether 8 + 2 = 10 of the 1/4 cups are required for the recipe.
10 of 1/4 cups are needed
Tom is 10 years younger than Becky. In two years, Becky will be twice as old as Tom. How old is Tom now?
Answer:
20
Step-by-step explanation:
Answer:
tom is 8 and becky is 18 now
Step-by-step explanation:
in two years becky would be 20 and tom will be 10
hope this helps
Please help asap pls only 1 question I need to finish pls this is middle school homework
Answer:
a,d,b,c
Step-by-step explanation:
The volume of a cylinder is represented by the equation V Tarah, where V is the
volume of the cylinder, r is the radius of the base, and h is the height of the cylinder.
Solve the equation in terms of r.
Answer:
[tex]r=\sqrt{\dfrac{3V}{\pi h}}[/tex]
Step-by-step explanation:
The volume of a cylinder is given by :
[tex]V=\dfrac{1}{3}\pi r^2h[/tex] .....(1)
Where
r and h are the radius and the height of the cylinder.
We need to solve the equation of r. Cross multiplying both sides in equation (1).
[tex]3V=\pi r^2h[/tex]
Dividing both sides by [tex]\pi h[/tex]. So,
[tex]\dfrac{3V}{\pi h}=\dfrac{\pi r^2h}{\pi h}\\\\r^2=\dfrac{3V}{\pi h}\\\\or\\\\r=\sqrt{\dfrac{3V}{\pi h}}[/tex]
So, the radius of the cylinder is equal to [tex]\sqrt{\dfrac{3V}{\pi h}}[/tex].
Determine if the pairs of expressions below are always equivalent. Prove your answer
A. 4n + 12 and 4 (n +3)
B. m + m 3m and 3m + 2
C. 4x + 8y and 4 (x + 8y)
D. 3 (2t + 2 ) and ( t + 1 ) x 6
E. p + p and p + 7
Which of the following options have the same value as 96% of 25?
Choose 2 answers:
96
100
• 25
Pro
B
0.96 - 25
Tea
0.96 . 0.25
96 25
100 100
96 - 25
Answer:
A
Step-by-step explanation:
yyjvgyujjjjuyrcjkoiffffgy
Corey records the temperature in degrees Celsius each morning. At 8am the temperature was 3 degrees below zero. It rose 3 degrees by 10am. Which equation shows the change in temperature from 8am to 10am?
A 3+3=6
B-3+3=0
C-3+3= -6
D-3-3= -6
The ratio of cats to dogs is 5:4 in Riverside. If there are 20 dogs, how many cats live in Riverside?
Select one:
25
20
30
16
Answer:
25
Step-by-step explanation:
c to d is 5 to 4
5x5=25
fffff
Answer:
25
Step-by-step explanation:
We need to divide 20 by 4 to see how much 1 equals in this problem.
20÷4=5
5 equals 1
Now we add 5 to 20 because the ratio is 5:4.
20+5=25
Our answer is 25.
Solve the following system of equations by substitution. Which of the following is the solution?
Answer:
It is (1,5) :)
help!!!!!!!!!!!!!!!!
The circumference of the smaller circle is 20% of the circumference of the larger circle. Find the circumference of the larger circle. Round your answer to the nearest tenth.
Answer:
92.5
Step-by-step explanation:
Evaluate the expression.
3×2⁴
The scores on a 100 point exam are normally distributed with a mean of 80 and a standard deviation of 6. A student's score places him between the 69th and 70th percentile. Which of the following best represents his score?
Answer:
85-89
Step-by-step explanation:
We wish to modify the cellular telephone coding system in order to reduce the number of errors. In particular, if there are two or three zeroes in the received sequence of 5 bits, we will say that a deletion (event D) occurs. Otherwise, if at least 4 zeroes are received, then the receiver decides a zero was sent. Similarly, if at least 4 ones are received, then the receiver decides a one was sent. We say that an error occurs if either a one was sent and the receiver decides zero was sent or if a zero was sent and the receiver decides a one was sent. For this modified protocol, what is the probability P[E] of an error? What is the probability P[D] of a deletion?
Solution :
Here, we have 5 trails that corresponds to the 5 times the binary symbol is sent. On each trail, success is said to occur when the binary symbol is received correctly. The probability of a success is p = 1 - q = 0.9 and q = 0.1
Now if the 0 is being transmitted, then the 0 is sent 5 number of times and then we call the decoding a 0 success. Let the repeated transmission are independent. In this case, we have 5 trails. Let each repeated bit the receiver decodes as 1 a success, using the binomial probabilities. We using the [tex]$S_{k,5}$[/tex] to denote an event of [tex]$k$[/tex] successes in the 5 trails, then the probability k are decoded at the receiver is:
[tex]$P[S_{k,5}]=\binom{5}{k}p^k(1-p)^{5-k}$[/tex]
[tex]$=\binom{5}{k}(0.9)^k(1-0.9)^{5-k}$[/tex]
[tex]$=\binom{5}{k}(0.9)^k(0.1)^{5-k}$[/tex]
Here, k = 1, 2, 3, 4, 5
The probability of the transmitted bit to be decoded correctly is:
[tex]$P[C]=P[S_{5,5}]+P[S_{2,5}]$[/tex]
[tex]$=\binom{5}{3}(0.9)^5(0.1)^{0}+\binom{5}{4}(0.9)^4(0.1)^1$[/tex]
[tex]$=(0.9)^5+5(0.9)^4(0.1)^1$[/tex]
= 0.91854
The probability that the deletion occurs is
[tex]$P[D]=P[S_{3,5}]+P[S_{2,5}]$[/tex]
[tex]$=\binom{5}{3}(0.9)^3(0.1)^{2}+\binom{5}{2}(0.9)^2(0.1)^3$[/tex]
[tex]$=10(0.9)^3(0.1)^2+10(0.9)^2(0.1)^3$[/tex]
= 0.081
The probability of an error is
[tex]$P[E]=P[S_{1,5}]+P[S_{0,5}]$[/tex]
[tex]$=\binom{5}{1}(0.9)^1(0.1)^{4}+\binom{5}{0}(0.9)^0(0.1)^5$[/tex]
[tex]$=5(0.9)^1(0.1)^4+(0.1)^5$[/tex]
= 0.00046
find the value of x
Answer:20
Step-by-step explanation:
the other side is a mirror it would be 20 as well
what is 8x5 please help
Answer:
8x5 equals 40.
Step-by-step explanation:
Answer:
8x5 is 40, hope that helped :)