Mathematics High School


[tex] {( \frac{5}{3} )}^{2n + 1} {( \frac{5}{3} )}^{5} = ({ \frac{5}{3} )}^{n + 2} [/tex]
Pls include steps...
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Answers

Answer 1

Answer:

n = -4

Step-by-step explanation:

[tex](\frac{5}{3} )^2^n^+^1 * (\frac{5}{3} )^5 = (\frac{5}{3})^n^+^2[/tex]

in multiplication if the base are same u can add there exponent.

[tex](\frac{5}{3})^2^n^+^1^+^5 = (\frac{5}{3})^n^+^2[/tex]

base of both sides are equal so their exponent will be equal

2n + 1 + 5 = n + 2

2n + 6 = n + 2

2n - n = 2 - 6

n = -4

Related Questions

f(x) = x +1 g(x) = x^2 - 3
find f 3
find gf3

Answers

Given: f(x) = x + 1 and g(x) = x²−3

1. Solve for f(3)

Let f(x) = f(3).

Substitute 3 for x

f(3) = 3 + 1
= 4

Therefore f(3) = 4


Solve for gf(3)

Substitute f(3) into g(x).

f(3) = 4
gf(3) = 4² − 3
= 13

Therefore gf(3) = 13

Find the value of x. Round your answer to the nearest tenth.

Answers

Answer:

9.30

Step-by-step explanation:

Using SOHCAHTOA

tan=opposite/adjacent

tan25°=x/20

tan 25°=0.4663

0.4663=x/20

cross multiply

x=0.4663*20

x=9.326

to the nearest tenth=9.30

si 30 cuadernos cuestan 120 Bs ¿ cuantos costaran 18 cuadernos​

Answers

Ann’s s whence. Sank m. D sm n s

i think of a number, multiply it by 3, add 4 and square the answer​

Answers

Answer:

(3x + 4)²

Step-by-step explanation:

Let the unknown number be x.

(3x + 4)²

HELPPP PLEASEEEEEEE!!

Answers

Answer:

We would use the explicit formula since the explicit formula is used for finding the nth term in a sequence. The reason why it's not the recursive is because the recursive formula helps you find the next terms using a formula of the preceding term or term before the next term.

find the eighth term of an arithmetic sequence if the first term is 5 and the common difference is 6

Answers

Answer:

47

Step-by-step explanation:

Formula for finding nth term of an arithemetic sequence is:

tn = t1 + (n-1) d

Where t1 is the first term, n is the specific term, and d is the common difference.

Plug numbers into the formula and solve:

t8 = 5 + (8-1)6

t8 = 47

What is the slope of a line perpendicular to 3x + 4y = -2?

Answers

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

The slope of the perpendicular line will be the negative reciprocal of the original slope.

For this line, the slope is [tex]-\frac{3}{4}[/tex] , whose negative reciprocal is [tex]\frac{4}{3}[/tex]

25x + 22x + 9 = 180.......

Answers

[tex]\sf\purple{The\:value\:of\:x\:is\:3.638.}[/tex] ✅

Step-by-step explanation:-

[tex]25x + 22x + 9 = 180 \\ ⇢ 47x = 180 - 9 \\ ⇢ 47x = 171 \\ ⇢ x = \frac{171}{47} \\ ⇢ x = 3.638[/tex]

To verify:-

[tex]25 \times 3.638 + 22 \times 3.638 + 9 = 180 \\ ⇢ 90.95 + 80.036 + 9 = 180 \\ ⇢ 180 = 180 \\ ⇢ L.H.S.=R. H. S[/tex]

Hence verified. ✔

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

A play is being presented on a circular stage. The two main characters are
at positions A and B at the back of the stage. What angle of view between
the main characters does an actor at position C at center stage have? *

Answers

Answer:

The angle of view between the main characters is 80°.

Step-by-step explanation:

The angle of view of the actor C between actors A and B is the measure of the angle of the central arc between A and B. Hence, the angle of view between the main characters is 80°.

Using the information that 6.7 x 52 = 348.4
find the value of
(i) 6.7 x 520
(ii) 67 x 0.52
(iii) 3484/ 5.2

Answers

Answer:

1.6.7*520=3484

Step-by-step explanation:

( I).67*0.52

convert that 0.52 to proper fraction

67×13/25=871/25

which is=34.84

(III). 3484/5.2

convert 5.2 to improper fraction ❤️

=52/10=26/5

3484/26/5=3484×5/26=670

The product of two 2-digit numbers is 3774. What is the smaller of the two numbers?

Please help quick

Answers

Answer:

In factored form:  3774  =  2 · 3 · 17 · 37

Creating two two-digit numbers:  3 · 17  =  51  and 2 · 37  =  74.

So, the two numbers are:  51  and  74.

HELP ME WITH THIS PLEASEEEE

Answers

Answer :
B, 45

Explanation:

45:100 = 0.45
0.45= 45%

Hope this helped
Answer: 45 (second A)

There are 6 blue marbles, 4 green marbles, and 2 red marbles. You choose 2 marbles. What is the chance that they will be blue?

Answers

Answer:

0.0152 probability

Step-by-step explanation:

first there are 12 marbles: odds are 2/12 = 1/6

Then, there are 11 marbles: odds are 1/11

So the odds of both of them being blue are: 1/6 * 1/11 = 0.0152

Please give brainliest thanks!

What’s the answer?????

Answers

Answer:

19.3

Step-by-step explanation:

d=m/v

d=2316/120

d=19.3 g/cm^3

Answer:

19.3g/cm^3

Step-by-step explanation:

pls help pls help pls help

Answers

Sin C= 3/5
Your answer would be A

Select all of the true statements about the sides of a right triangle.

A. The legs are the sides next to the 90 (right) angle.

B. The hypotenuse is the longest side

C. Side “a” is always longer than side “b”.

D. The hypotenuse is opposite the 90 (right) angle.

Answers

Answer:

It should be options B and D

if x2+1/x2=27 find the value of x3+1/x3can anyone answer this, please

Answers

Step-by-step explanation:

x2+1/x2=27

x2+1=27x2

1=26x2

x2 = 1/26

x = √(1/26)

x3+1/x3 = (√(1/26))^3 + 1 / (√(1/26))^3

x3+1/x3 = 134

Please find attached photograph for your answer

Which expression gives the measure of angle ABC?​

Answers

The answer is D!

If helped mark me the brainiest!!

Answer: 1/2 (110 degree + 20 degree)

Step-by-step explanation:

Plsss Answer 100% will mark as brainlist!!!
In the following figure ABCD, find the value of x​

Answers

Answer:

80°

because its diagnol so the one in the top corner is the same as x

Answer:

x = 140°

Step-by-step explanation:

Sum of exterior angles of polygon is 360°

That is, x + 70 + 80 + 70 = 360

           x + 220 = 360

           x = 360 - 220 = 140°

Please help! I’m begging lolll

Answers

Answer:i think is C

Step-by-step explanation:

What is the output (y) if the input (x) is -10?
plz exsplain

Answers

Answer:

y = -5

Step-by-step explanation:

y = x / 2

For x = -10

Plug -10 into the equation

y = -10/2

y = -5

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

For the remaining values

x     y

0     0

4     2

10     5

Which of the following sets of points is a direct variation?
(0, 0); (-1, -2); (1, 2)
(0, 0); (2, 4); (5, 15)
(3,6); (-2, 4); (-1,2)
(0,5); (1, 6); (2,7)

Answers

The first one because I just didn’t at clases

Find the missing side

Answers

Answer:

x = 54.40883769

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan 37 = 41/x

x tan 37 = 41

x = 41/ tan 37

x = 54.40883769

Please help me to do the other answers

Answers

Answer:

in = - 9.5

Step-by-step explanation:

- 9.5 × 2 = -19

-19 - 1 = -20

Help please help with the question ♥️

Answers

Answer:

39 ft^2

Step-by-step explanation:

area of small rectangle

length = 3 ft

breadth = 1 ft

area of rectangle = l*b

=3*1

=3 ft^2

area of big rectangle

length = 12 ft

breadth = 3 ft

area of rectangle = l*b

=12*3

=36 ft^2

area of the figure = area of small rectangle + area of big rectangle

=3 + 36 ft^2

=39 ft^2

39 square feet

Explanatiin:
Divide shape into 2 rectangles:

Area of upper rectangle;
1 • 3 = 3 ft2

Area of lower rectangle:
3 • 12 = 36 ft2

Add both areas of rectangles:
36 + 3 = 39 ft2

Hope this helps!

Use the zero product property to find the solutions to the equation 6x2 – 5x = 56.

Answers

Answer:

x

=

7

2

,

−

8

3

Step-by-step explanation:

Answer:

o9

[tex]x = - 44 \div 5[/tex]

hope to help you

Pls help
A quadratic equation written in general form has a coefficient of −5 on the leading term, a coefficient of 2 on the first-degree term, and a constant of 3. What is the equation? Use x as the variable.

Answers

Answer:

f(x) = -5x² + 2x + 3

Step-by-step explanation:

f(x) = -5x² + 2x + 3

PLEASE please help me with this!! its due tonight. THANK YOU.

explaining your answer = brainliest

the area of the parallelogram is 49 square centimeters.
y = ___ cm

Answers

Answer:

[tex]y = 12.25[/tex]

Step-by-step explanation:

Area of parallelogram = [tex]49 {cm}^{2} [/tex]

∴ Side of Parallelogram = [tex]s = \frac{perimeter}{4} [/tex]

[tex]∴ \: s = y[/tex]

[tex]y = \frac{49}{4} [/tex]

[tex]y = 12.25[/tex]

Hope it is helpful...

Eighty percent of students surveyed said they feel more focused after exercising. Nine hundred fifty students were surveyed.

Students Who Feel More Focused after Exercise
20%
20%
20%
20%
20%


How many students said they feel more focused after exercising?

Answers

Answer:

760

Step-by-step explanation:

it was 760 students that

Please help I’ll give brainliest

Answers

Answer:

13%

Step-by-step explanation:

Interest Amt = Principal x Interest Rate x Time (in years)

780 = 4000·r·1.5

780 = 6000r

780/6000 = r

r = .13 which is 13%

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