nth term of an AP is given by an expression 7n-2,find the common difference of this sequence if fisrt term of sequence is 1? a.2 b.-2 c-7 d7​

Answer:

#1 Haley is correct and Lacey is incorrect

#2 Kenji is incorrect.

Step-by-step explanation:

#1. x^3 (x^2) = x^5 but this same law doesn't apply to addition of numbers with exponents.

#2 The law of exponents doesn't apply to numbers with different bases that are not multiples of each other such as 3 and 4, so Kenji's simplification is not correct.

Answer:

30

Step-by-step explanation:

[tex]\frac{75}{100} = \frac{x}{40}\\\\Cross- multiply:\\\\\\75*40=100x[/tex]

3000 = 100x

x = 30

Another way:

75/100 is in reality 3/4

and 3/4 of 40 = 30

40/4 = 10

10 * 3 = 30

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

41/30

Step-by-step explanation:

2/3 + 1/5 + 2/4

= 41/30

Answer:

Step-by-step explanation:

1) 2/9 = 185/x

  2x = 1665

x = 832.5 or 8.325 meters

2) unit rate is the cost of one unit

i.e a dozen eggs cost $1.20 that

would be 10 cents each

3) 300 tissues for $3.75 vs. 250 for $2.99

one is 1.24 cents per tissue

the other 1.19 ... the 250 package is a better buy

Given:

The table of values for the function f(x).

To find:

The values [tex]f^{-1}(f(3.14))[/tex] and [tex]f(f(-7))[/tex].

Solution:

From the given table, it is clear that the function f(x) is defined as:

[tex]f(x)=\{(-14,11),(-7,-12),(-12,-5),(9,1),(10,-2),(-2,13)\}[/tex]

We know that if (a,b) is in the function f(x), then (b,a) must be in the function [tex]f^{-1}(x)[/tex]. So, the inverse function is defined as:

[tex]f^{-1}(x)=\{(11,-14),(-12,-7),(-5,-12),(1,9),(-2,10),(13,-2)\}[/tex]

And,

[tex]f^{-1}(f(a))=f^{1}(b)[/tex]

[tex]f^{-1}(f(a))=a[/tex]              ...(i)

Using (i), we get

[tex]f^{-1}(f(3.14))=3.14[/tex]

Now,

[tex]f(f(-7))=f(-12)[/tex]

[tex]f(f(-7))=5[/tex]

Therefore, the required values are [tex]f^{-1}(f(3.14))=3.14[/tex] and [tex]f(f(-7))=5[/tex].

Answer: the answer is 0

Why 0?:

Step 1: Simplify both sides of the equation

-x * x= -x²

-x * -3= 3x all  together it is ( -x²+3x+12)

for the other side:

-x * x= -x²

6 * x= 6x and x * 2= 2x and 6 * 2= 12

then subtract 6x-4x= 2x so final would be = −x²+4x+12

Step 2: Add x² to both sides.

−x²+3x+12+x²=−x²+4x+12+x² then we are left with 3x+12=4x+12

Step 3: Subtract 4x from both sides.

3x+12−4x=4x+12−4x  --> −x+12=12

Step 4: Subtract 12 from both sides.

−x+12−12=12−12

−x=0

Step 5: Divide both sides by -1 or -x

x=0

Answer:

measure of angle V + measure angle W = VUF

Answer:

∠ VUF = 94°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles

∠ VUF is an exterior angle of the triangle, then

∠ VUF = 71° + 23° = 94°

Answer:

Ecosystem: Trees

Ways to protect are as follows:-

Answer:

Since for each household there are only two possible outcomes, the a household owning stock is independent of any other household and there is a fixed number of trials, this experiment is a binomial experiment.

Step-by-step explanation:

We have to take into consideration three things:

For each household, there are only two possible outcomes, either they own stocks, or they do not.

The probability of a household owning stock is independent of any other household, that is, for any household, the probability of someone owning stocks is 28%.

There is a fixed number of trials.

Is this experiment a binomial experiment?

Since for each household there are only two possible outcomes, the a household owning stock is independent of any other household and there is a fixed number of trials, this experiment is a binomial experiment.

Answer:

-2, -1

Step-by-step explanation:

B is the answer for you. Have a good day!

Given:

The fees for a day student are $600 a term.

The fees for a boarding student are $1200 a term.

The school needs at least $720000 a term.

To show:

That the given information can be written as [tex]x + 2y\geq 1200[/tex].​

Solution:

Let x be the number of day students and y be the number of boarding students.

The fees for a day student are [tex]\$600[/tex] a term.

So, the fees for [tex]x[/tex] day students are [tex]\$600x[/tex] a term.

The fees for a boarding student are [tex]\$1200[/tex] a term.

The fees for [tex]y[/tex] boarding student are [tex]\$1200y[/tex] a term.

Total fees for [tex]x[/tex] day students and [tex]y[/tex] boarding student is:

[tex]\text{Total fees}=600x+1200y[/tex]

The school needs at least $720000 a term. It means, total fees must be greater than or equal to $720000.

[tex]600x+1200y\geq 720000[/tex]

[tex]600(x+2y)\geq 720000[/tex]

Divide both sides by 600.

[tex]\dfrac{600(x+2y)}{600}\geq \dfrac{720000}{600}[/tex]

[tex]x+2y\geq 1200[/tex]

Hence proved.

Answer:

g(-2.3) = 3.6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

g(x) = 2|x| - 1

Step 2: Evaluate

Answer:

[tex]{ \bf{f(b) - g(b) : }} \\ { \tt{ = ( {7b}^{3} + 8b) - ( {b}^{2} + b - 10)}} \\ = ( {7b}^{3} - {b}^{2} + 7b + 10)[/tex]

Answer:

[tex]f(b) - g(b) = 7b^3 -b^2 + 7b +10[/tex]

Step-by-step explanation:

[tex]f(b) = 7b^3 + 8b \\\\g(b) = b^2 + b - 10\\\\f(b) - g(b) = (7b^3 + 8b ) - ( b^2 + b -10)[/tex]

               [tex]= 7b^3 + 8b - b^2 - b + 10\\\\=7b^3 - b^2 +7b + 10[/tex]

Answer:

La hija mayor recibirá 17.5 perlas, la hija del medio recibirá 11.66 perlas, y la hija menor recibirá 3.88 perlas.

Step-by-step explanation:

Dado que Marcella le pide a Dora que la ayude a dividir 35 perlas entre sus tres hijas, y quiere darle la mitad a la hija mayor, la tercera parte a la del medio y la novena a la menor y, además, Marcella quiere darle una perla a Dora como recompensa, para determinar cuántas perlas recibirá cada hija se debe realizar el siguiente cálculo:

35 / 2 = Mayor = 17.5 perlas

35 / 3 = Medio = 11.66 perlas

35 / 9 = Menor = 3.88 perlas

Así, la hija mayor recibirá 17.5 perlas, la hija del medio recibirá 11.66 perlas, y la hija menor recibirá 3.88 perlas.

11.

[tex]6x = 30 \\ x = \frac{30}{6} \\ x = 5[/tex]

Missing angle:

[tex]6x \\ = 6 \times 5 \\ = 30[/tex]

_________________________________________

12.

[tex](4 + 5x) + (x + 2) = 180 \\ 6x + 6 = 180 \\ 6x = 180 - 6 \\ 6x = 174 \\ x = \frac{174}{6} \\ x = 29[/tex]

Missing angle 1:

[tex](4 + 5x) \\ = 4 + (5 \times 29) \\ = 4 + 145 \\ = 149[/tex]

Missing angle 2:

[tex]x + 2 \\ = 29 + 2 \\ = 31[/tex]

_________________________________________

13.

[tex]5x + (3x + 12) = 180 \\ 8x + 12 = 180 \\ 8x = 180 - 12 \\ 8x = 168 \\ x = \frac{168}{8} \\ x = 21[/tex]

Missing angle 1:

[tex]5x \\ = 5 \times 21 \\ = 105[/tex]

Missing angle 2:

[tex](3x + 12) \\ = (3 \times 21) + 12 \\ = 63 + 12 \\ = 75[/tex]

_________________________________________

14.

[tex]32 + (6x + 4) = 90 \\ 36 + 6x = 90 \\ 6x = 90 - 36 \\ 6x = 54 \\ x = \frac{54}{6} \\ x = 9[/tex]

Missing angle:

[tex](6x + 4) \\ = (6 \times 9) + 4 \\ = 54 + 4 \\ = 58[/tex]

_________________________________________

15.

[tex](2x + 1) + (x + 2) = 90 \\ 3x + 3 = 90 \\ 3x = 90 - 3 \\ 3x = 87 \\ x = \frac{87}{3} \\ x = 29[/tex]

Missing angle 1:

[tex](2x + 1 ) \\ = ( 2 \times 29) + 1 \\ = 58 + 1 \\ = 59[/tex]

Missing angle 2:

[tex]x + 2 \\ = 29 + 2 \\ = 31[/tex]

_________________________________________

16.

[tex](3x + 1) + (4 + 2x) = 90 \\ 5x + 5 = 90 \\ 5x = 90 - 5 \\ 5x = 85 \\ x = \frac{85}{5} \\ x = 17[/tex]

Missing angle 1:

[tex](3x + 1) \\ = (3 \times 17) + 1 \\ = 51 + 1 \\ = 52[/tex]

Missing angle 2:

[tex](4 + 2x) \\ = 4 + (2 \times 17) \\ = 4 + 34 \\ = 38[/tex]

Answer:

B

Step-by-step explanation:

Pls brain list if right :>

Answer:

If ABCD is congruent to RSTU

AB≅RS

BC≅ST

CD≅TU

AD≅RU

and ∠A≅CR

∠B≅∠S

∠C≅T

∠D≅CU

ANSWER: ∠A≅∠U

------------------------------

hope it helps...

have a great day!!

Answer:

D.(7, 101.5) is an ordered pair used to represent the aquarium cost.

Hope it helps :)

Step-by-step explanation:

Answer: it is d - (7, 101.5) is an ordered pair used to represent the aquarium cost

Step-by-step explanation: got it right on edge 2022

Answer:

IK≅WY

Step-by-step explanation:

When both sides of the equation are simplified, the coefficients are the same.

Step-by-step explanation:

An equation has infinite solutions when both sides of the equation are simplified, the coefficients are the same

Answer:

The answer is A.

Answer:

M(-5/2, -2)

Step-by-step explanation:

Add the x-coordinates & divide by 2.

Add the y-coordinates and divide by 2.

x-coordinates: -4, -1

(-4 + (-1))/2 = -5/2

y-coordinates: -8, 4

(-8 + 4)/2 = -4/2 = -2

M(-5/2, -2)

Answer:

The possible values of W are 5, 6, and 7.

Step-by-step explanation:

Since at her gym, Ximena spends 30 minutes on each aerobic workout and 20 minutes on each weight-lifting workout, and last week, Ximena spent between 190 and 230 minutes, inclusive, on 3 aerobics workouts and W weight-lifting workouts, to determine what is one possible value of W the following calculation must be performed:

190 - (3 x 30) = X

190 - 90 = X

100 = X

100/2 = 5

140/2 = 7

Therefore, the possible values of W are 5, 6, and 7.

Answer:

Let that rational number to be subtracted be x.Given,-5/​6 - x = 4/9= - x = 4/9+5/6= - x = 23/18x = - 23/18.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Find 1/3 of 24, which is 8.

Answer:

Sam gave 8 balls to Rita.

Step-by-step explanation:

24 / 3 = 8

1/3 of 24 is 8, therefore Sam gave 8 balls to Rita.

Answer:

Step-by-step explanation:

The easiest way to solve this is with calculus, believe it or not. The position function is

[tex]s(t)=-16t^2+64t[/tex]. The first derivative of this is the velocity function:

v(t) = -32t + 64. From physics, we know that at the max height of an object's path, the velocity is equal to 0, so setting this velocity equation equal to 0 and solving for time, will tell us the time it took to get to the max height (which we don't know yet, but we will in a bit):

0 = -32t + 64 and

-64 = -32t so

t = 2 seconds. It takes 2 seconds to reach a max height. Plugging that 2 in for t in the position function will tell you the max height that corresponds to this time:

[tex]s(2)=-16(2)^2+64(2)[/tex] and

s(2) = 64 feet.

So the max height is 64 feet and it is reached at 2 seconds after launching.

Also from physics we know that at halfway through a parabolic path, which is also the max height, we are halfway through time-wise as well. That means that if it takes 2 seconds to reach the max height from the ground, it will take another 2 seconds to fall to the ground.

So the total time the rocket is in the air is 4 seconds: 2 seconds to reach the max height and another 2 to fall back down.

Answer:

Step-by-step explanation:

Answer:

ok so we have to find the perimiter so

60+60=120

30+30=60

120+60=180

Hope This Helps!!!

Hello!

[tex]\large\boxed{x = 4}[/tex]

7(x + 9) + 5 = 96

Distribute:

7x + 63 + 5 = 96

Combine like terms:

7x + 68 = 96

Subtract 68 from both sides:

7x = 28

Divide both sides by 7:

x = 4

Answer:

[tex]\fbox{x = 7}[/tex]

Step-by-step explanation:

7(x + 9) + 5 = 96

Solve for x.

Step 1 :- Distribute 7.

Step 2:- Add 63 and 5.

Step 3 :- Move constant to the right-hand side and change their sign.

Step 4 :- Subtract 68 from 96.

Step 5 :- Divide both side by 7.

There's all the lengths so you don't have to search them all up

Answer:

vbw-kafw-hxy p.l.e.a.s.e join

Answer:

146 cm²

Step-by-step explanation:

The net is composed of 3 sets of congruent rectangles

top/ bottom + front/ back + sides

SA = 2(9 × 5) + 2(9 × 2) + 2(5 × 2)

     = 2(45) + 2(18) + 2(10)

     = 90 + 36 + 20

     = 146 cm²

Answer:

Step-by-step explanation: