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

Answer:

x = 17/4 = 4.250

x = 11/2 = 5.500

Step-by-step explanation:

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.

Answer:

100%, 50%, and 30%

Step-by-step explanation:

Thanks for your time.

(>.<) <3 Kris

Answer:

k(jjjjjjjjhuyt67 in bbkl

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.

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:

Class mark : 37-41

Independant variable is the classes

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

Step-by-step explanation:

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

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

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

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.

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.

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

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

Answer:

c

Step-by-step explanation:

Answer: A would be the answer

Step-by-step explanation:

Answer:

I think it's 7.93725

I'm not sure if I did this correctly

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

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 :)

Answer:

5-2y (the last option)

hope this helps!

please give brainiest<3

Answer:

2y-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The pic doesnt wrk comment question and ill answer

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?

[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]

Answer:

all real numbers

Step-by-step explanation:

The domain is the values that x can take

x can be any real number

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

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

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

Answer:

Combine like terms

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

3 times 3 is 9

hope that helps bby<3

Step-by-step explanation:

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

Answer:

8

Step-by-step explanation:

Eight Equeal Tri's