The nth term, In, of a sequence is Tn = 6n – 1.
(i)
Given that Tk = 167, find the value of k.

Answers

Answer 1

Answer:

k = 28

Step-by-step explanation:

[tex]t = 6n - 1 \\ 167 = 6k - 1 \\ 6k = 168 \\ k = 28[/tex]


Related Questions

Drag the tiles to the correct boxes to complete the pairs.
The function (x) is represented by this table of values

Answers

Answer:

Step-by-step explanation:

Average rate of change of a function between interval x = a and x = b is given by,

Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

Average rate of change of the function in the interval [-4, -2]

= [tex]\frac{f(-2)-f(-4)}{-2-(-4)}[/tex]

= [tex]\frac{0-(-12)}{-2+4}[/tex]

= 6

Average rate of change in the interval [-2, 1]                                                                            

= [tex]\frac{f(1)-f(-2)}{1-(-2)}[/tex]

= [tex]\frac{3-0}{1-(-2)}[/tex]

= 1

Average rate of change in the interval [-3, 1]

= [tex]\frac{f(1)-f(-3)}{1-(-3)}[/tex]

= [tex]\frac{3-(-5)}{1+3}[/tex]

= 2

Average rate of change in the interval [-4, 0]

= [tex]\frac{f(0)-f(-4)}{0-(-4)}[/tex]

= [tex]\frac{4-(-12)}{0-(-4)}[/tex]

= 4

Cheryl is taking an online test that gives her instant results. After answering 16 questions, the test revealed that 10 were answered correctly. She
then answered I consecutive questions correctly and achieved her goal of 80% accuracy. Write an equation that can be used to determine
how many questions she answered correctly to reach her goal.


Help ;-;

Answers

Y=5(3/2)^x is this model exponential growth,decay or neither ?

How is 6.8 million written in scientific notation? 6.8 * 10 7 or 6.8 * 10 6

Answers

Answer:

6.8 x 10*6

Step-by-step explanation:

Answer:

hey im sorry for using this, but there's nothing else. which one was right???/ im stuck

Step-by-step explanation:

. In a state with a sales tax rate of 6%,
Alex bought paper for his printer for
$17.99. How much was his sales tax
to the nearest penny?

Answers

Answer:

$1.1

Step-by-step explanation:

In a state with a sales tax rate of 6%,

Alex bought paper for his printer for

$17.99.

The amount of his sales tax to the nearest penny is calculated as:

Sales tax rate × Cost of Paper for his printer

Sales tax = 6% × $17.99

= 6/100 × $17.99

=$ 1.0794

Approximately≈ $1.1

help i give many points

Answers

Answer:

Step-by-step explanation:

The pic doesnt wrk comment question and ill answer

Which of the follwing are true statements about a 30-60-90 triangle?​

Answers

Answer:

A and E

Step-by-step explanation:

The ratio of the hypotenuse to the shorter leg to the longer leg is 2:1: root 3

Answer:

A. and E.

Step-by-step explanation:

The length of the hypotenuse is always double the length of the shortest leg and you can find the long leg by multiplying the short by the square of 3.

Convert this radical form to exponential form.

Answers

Answer:

I think it's 7.93725

I'm not sure if I did this correctly

Marque a alternativa correta *
1 ponto
y = 4x – 2 é uma função do 1° grau decrescente.
y = 4 – 2x é uma função do 1° grau decrescente.
f(x) = x não é uma função do 1° grau .
f(x) = 1/2 x é uma função do 1° grau com coeficiente linear=1/2.
NRA

Answers

Step-by-step explanation:

f(x) = 1/2 x é uma função do 1° grau com coeficiente linear=1/2.

What'e More
A. Independent Activity 1
Determine the following numerical values for each alasses using table 5 below​

Answers

Class mark : 37-41

Independant variable is the classes

Find the missing side and angle measures in triangle ABC. Round your answers to the nearest tenth.



The measure of angle B is approximately
__.

The measure of angle C is approximately
__.

The length of side AB is approximately
___units.

Answers

Answer:

[tex]m\angle B\approx 80.27^\circ\text{ and } m\angle C\approx 59.73^\circ[/tex]

Side AB measures approximately 20.15 units.

Step-by-step explanation:

We can use the Law of Sines, given by:

[tex]\displaystyle \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}[/tex]

Since we already know ∠A and a, we can use it to determine our other measures.

We know that b is 23. Substitute:

[tex]\displaystyle \frac{\sin 40^\circ}{15}=\frac{\sin B}{23}[/tex]

Solve for ∠B:

[tex]\displaystyle \sin B=\frac{23\sin 40^\circ}{15}[/tex]

We can take the inverse sine of both sides:

[tex]\displaystyle m\angle B=\sin^{-1}\frac{23\sin 40^\circ}{15}[/tex]

Use a calculator (make sure you're in Degrees mode!):

[tex]m\angle B\approx 80.27^\circ[/tex]

The interior angles of a triangle must total 180°. Hence:

[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]

Substitute in known values:

[tex](40^\circ)+(80.27^\circ)+m\angle C=180^\circ[/tex]

Therefore:

[tex]m\angle C\approx 59.73^\circ[/tex]

Lastly, to find AB or c, we can use the Law of Cosines:

[tex]c^2=a^2+b^2-2ab\cos(C)[/tex]

a = 15, b = 23, and to prevent rounding errors, we will use the exact value for C. Recall that we know that:

[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]

Using the exact value for ∠B, we acquire:

[tex]40^\circ+\displaystyle \sin^{-1}\frac{23\sin40^\circ}{15}+m\angle C=180^\circ[/tex]

Therefore:

[tex]\displaystyle m\angle C=\left(140-\sin^{-1}\frac{23\sin40}{15}\right)^\circ[/tex]

Substitute:

[tex]\displaystyle c^2=(15)^2+(23)^2-2(15)(23)\cos\left(140-\sin^{-1}\frac{23\sin40^\circ}{15}\right)[/tex]

Simplify and take the square root of both sides.

[tex]\displaystyle c=\sqrt{754-690\cos\left(140-\sin^{-1}\frac{23\sin40^\circ}{15}\right)}[/tex]

And use a calculator:

[tex]c\approx 20.15[/tex]

Answer:

Hi! The person above is actually correct, just that it needed to be rounded to the nearest tenth. Check the picture for confirmation. Hope this helped <3

Step-by-step explanation:

The measure of angle B is approximately

80.3

The measure of angle C is approximately

59.7

The length of side AB is approximately

20.2

I got it correct on Edmentum/Plato

3x-6y=24 y=Mx+b form

Answers

Answer:

Hi, there your answer is[tex]y=\frac{1}{2} x-4[/tex]

Step-by-step explanation:

Let's solve for y.

3x−6y=24

Step 1: Add -3x to both sides.

3x−6y+−3x=24+−3x

−6y=−3x+24

Step 2: Divide both sides by -6.

−6y /−6 = −3x+24 /−6

y=1/2x-4

Hope this helps :)

The correct answer to your question is -1-2x-4

A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (negative 1, 2), (0, 2), and (2, 2). The second line is labeled y equals g(x) and passes through (negative 0.5, negative 2), points at (0, negative 1), and (1, 1). The lines intersect at (1.5, 2).
Use the graph to determine the input value for which f(x) = g(x) is true.

Answers

Answer:

x=2/3

Step-by-step explanation:

Most of that information is unnecessary. Just plug in the values of f(x) and g(x) into the equation where they are equal to each other and solve.

-3x+4=2

-3x=-2

3x=2

x=2/3

I swear there are never tutors

Answers

Answer:

5-2y (the last option)

hope this helps!

please give brainiest<3

Answer:

2y-5

Step-by-step explanation:

The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.

Answers

Step-by-step explanation:

Feel free to ask for more help. I love Linear Algebra

y = x2
-2
What is the Domain:

Answers

Answer:

all real numbers

Step-by-step explanation:

The domain is the values that x can take

x can be any real number

What is the value of this expression when a= - 3 and b=-2?
(3a^-2b^6/2a^-1b^5)^2

Answers

Answer:

so lets just rewrite it with A=-3 amd B=-2

(-9^4^-9^2^5)^2

which is equal to... 1!

Hope This Helps!!!

Answer:

1

Step-by-step explanation:

took the test

Help me I will give you brain list if you answer this first

Answers

0 is the answer :)))

Chris carved three times as many jack-o lanterns as his friend Thomas. if Thomas carved 3 jack o lanterns how many did Chris carve

Answers

Answer:

9

Step-by-step explanation:

3 times 3 is 9

hope that helps bby<3

Neep help on finding what is the right answer.

Answers

Answer:for the first page b     for the second pace a

Step-by-step explanation:

Which term is defined as a fee charged for the use of money?
a interest
b. down payment
C. principal
d. default
Please select the best answer from the choices provided
A
B
C
D

Answers

Which term is defined as a fee charged for the use of money?

[tex]\sf\purple{a.\:interest}[/tex] ✔

b. down payment

C. principal

d. default

Explanation:

Interest is defined as a fee charge for the use of money.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35\:ヅ}}}}}[/tex]

A meat pie contains chicken and turkey in the ratio 4: 1. The pie contains 200g of chicken.
How much turkey is in the pie?

Answers

How much turkey is in the pie?

The mass of the turkey in the pie is 1/4 of the weight of the chicken

200/4 = 50 grams

What is the first step in solving the equation 2/3x+1/3x+2=5 ? Subtract 1/3 from each side of the equation. Add 2 to each side of the equation. Combine like terms. Multiply each side of the equation by 5.

Answers

Answer:

Combine like terms

Step-by-step explanation:

A burrito chain offers a choice of pork, chicken, beef, or veggie burritos. Each burrito also comes with a choice of either rice or beans and either hot or mild salsa.

Answers

Answer:

16

Step-by-step explanation:

4 option: Pork, chicken, beef, or veggie burritos.

and for each of the 4 options: rice, beans, hot or mild salsa.

4x4=16

Example:

Pork with rice

Pork with beans

pork with hot salsa

pork with mild salsa

etc.

Pork: 4 possibility

Chicken: 4 possibility

Beef: 4 possibility

Veggie burritos: 4 possibility

4+4+4+4=16

Hope this answer help you.

Determine the value of each variable below. Round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

1) tan = opposite / adjacent

tan * adjacent = opposite

adjacent = opposite/tan

adjiacent = 60/1,600335 = 37.5

2) the two leg are congruent so the two angles are congruent

the sum of the inner angles of a triangle is 180 degrees

so

a = 45 degrees

b = 45 degrees

3) cos = adjacent/hypotenuse

adjacent = cos * hypotenuse

adjacent = 0,920505 * 45

adjacent = 41.4

25 [tex]\sqrt{x}[/tex] 64 +187

Answers

Answer:

x = 17/4 = 4.250

x = 11/2 = 5.500

Step-by-step explanation:

5.500 is the correct answer

which expression is equivalent to 5^10 x 5^5

Answers

Answer:

[tex] {5}^{10 + 5} = {5}^{15} [/tex]

Answer:

5^15

Step-by-step explanation:

when multiplying expressions with the same base you keep the base (the base is 5 ) and add the exponents (10 and 5) then you would get your awnser

when turned about it’s axis of rotation, which shape could have created this three-dimensional object

Answers

Answer:

c

Step-by-step explanation:

Answer: A would be the answer

Step-by-step explanation:

In A ABC, m2 A
= 100°, m2 B = 30°, and m2 C = 50°. Which lists the sides from largest to smallest?

Answers

Answer:

100%, 50%, and 30%

Step-by-step explanation:

Thanks for your time.

(>.<) <3 Kris

Answer:

k(jjjjjjjjhuyt67 in bbkl

help me with this question pls!

Answers

Answer:

8

Step-by-step explanation:

Eight Equeal Tri's

Martin collected data from students about whether they played a musical instrument. The table shows his results. Instrument No Instrument TOTAL Boys 32 60 92 Girls 38 68 TOTAL 70 90 160 What is the relative frequency of a boy playing an instrument? Write the answer as a decimal, rounded to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

For the data collected by Martin from students about whether they played a musical instrument, the relative frequency of a boy playing an instrument is 0.348.

What is relative frequency?

Relative frequency of an event is the measure of something happens relative to the total outcomes of that event.

The relative frequency can be given as,

[tex]f_r=\dfrac{f}{n}[/tex]

Here, (f) is the frequency of the number of times data occurred in an event and (n) is the total number of outcomes.

The relative frequency can also be defined as, it is the ratio of subgroup frequency to the total frequency of any event.

Martin collected data from students about whether they played a musical instrument.

The table shows his results.

           Instrument   No Instrument  TOTAL Boys           32                60                  92 Girls            38                68 TOTAL        70                90                  160

Here, the total number of boys are 92 and the total number of boys who play instrument is 32. Thus, the relative frequency is,

[tex]f_r=\dfrac{32}{92}\\f_r=0.348[/tex]

Thus, for the data collected by Martin from students about whether they played a musical instrument, the relative frequency of a boy playing an instrument is 0.348.

Learn more about the relative frequency here;

https://brainly.com/question/3857836

#SPJ2

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