what is the solution of the exponential equation? use a graph. full calculations,[tex]27=3^{x-2}[/tex] please!!

Answers

Answer 1

Answer:

5

Step-by-step explanation:

if i really need to use a graph leave a comment

27=3ˣ⁻²

[tex]x=y^z\\=\\log_{y}x=z\\[/tex]

Which means that

[tex]27=3^{x-2}=\\log_327=x-2\\log_327=\frac{log27}{log3}=3\\3=x-2\\x=5[/tex]


Related Questions

HALP! I don't understand this! I need an explanation right away! Thank you for your help!

Answers

Answer:

1/2

Step-by-step explanation:

there are 13 cards in each type so

heart or diamond would mean either one so 13 +13=26

26/52

1/2

TOTAL NUMBER OF CARDS=52

TOTAL NUMBER OF HEART CARDS= 13

TOTAL NUMBER OF DIAMOND CARDS= 13

PROBABILITY OF AN EVENT

= NUMBER OF FAVOURABLE OUTCOMES

TOTAL NUMBER OF POSSIBLE OUTCOMES

Probability of getting a heart card♥=13/52 =1/4

Probability of getting a DIAMOND card♦= 13/52 =1/4

Probability of getting a heart and a diamond card =26/52 =1/2

I hope you got it!!!...right!!

Graph the function y=4/3x+3

Answers

Answer:

Basically, you will first graph the 3 or (0,3) on the graph. Then you go 4 units up and 3 units to the right.

Hope this helps, thank you !!

I need Explanations for these 2 questions!!
Please so urgent!!!!!

Answers

121. the fifth digit (second 1) represent thousandths

122. Hundredths because he went out two decimal places

does anyone know the answer???

Answers

Answer:

Step-by-step explanation:

R=50+20t, B=150-20t they will be the same height when

50+20t=150-20t

50+40t=150

40t=100

t=2.5, usingvthis value for t in either original equation will give you the height.

h=50+20(2.5)

h=100m

Answer:

it would be 100. they would both meet at 100m

if i 100 oz of water to drink, and i drink 23% of it, how much water do i have left

Answers

Answer:

you have 77oz left

Step-by-step explanation:

23% of 100 is 23

subtract 23 from 100

the answer is 77.

Can somebody who has done word problems plz help give the correct equations for each one :DD thanks!

WILL MARK BRAINLIEST WHOEVER ANSEERS THEM FIRST !!!!!!:D

Answers

Answer:

18. x + 7 = 21

19. x - 55 km = 1000 km

18) x + 7 = 21
19) 55 > x = 1000

hopefully this helps :) have a nice day/night and good luck in your class!!

The shoes cost $200 with a sales tax of
7.5%, How much is the total Costs?

Answers

The shoes after a 7.5% tax is going to be 215 200/7.5 + 200 = C

George and mindy are playing with a ball that has a diameter of 38 centimeters. What is the volume of the ball?

Answers

Answer:

28734.6cm^3

Step-by-step explanation:

Given data

diameter of ball = 38cm

radius = 38/2 =  19cm

The volume of a spher= 4/3πr^3

substitute

V= 4/3*3.142*19^3

V=4/3*3.142*6859

V=4/3*21550.978

V=86203.912/3

V= 28734.6cm^3

Hence the volume of the ball is 28734.6cm^3

Beyonce is solving a system of equations: 2x – 3y = -2
4x + y = 24

She decides to use the elimination method to find the solution. She multiplies the second equation by 3 and adds it to the first equation to find 14x = 70, showing her that x = 5. Beyonce finds that y = 4.

Step 3: 4x + y = 24

4(5) + y = 24

20 + y = 24
-20 -20

y = 4




Step 1: 3(4x + y = 24) → 12x + 3y = 72
Step 2: 2x – 3y = -2
Solution: (5, 4)


+ 12x + 3y = 72
14x = 70

→ x = 5



Thinking about this process, Beyonce says out loud, “There are lots of ways I could go about solving this problem. I could do the method above or I could multiply the first equation by -2 and add the second.

Step 3: 4x + y = 24

4x + 4 = 24
-4 -4

4x = 20

x = 5


Step 1: -2(2x – 3y = -2) → -4x + 6y = 4
Solution: (5, 4)


Step 2: -4x + 6y = 4
+ 4x + y = 24
7y= 28

→ y = 4



“I seem to find that there is only one solution to the two equations, but I wonder if I will get the same solution if I use a different method?”

Explain how you know that a system od equations has an infinite numbe of solutions.

Answers

2x-3y = -2 --------> (1)
4x + y = 24 -------> (2)

multiply equation number (1) by -2

-4x + 6y = +4

remove the x value from both equation (1) and (2) because its the same number and different sign

6y + y = 4 + 24

7y = 28

divide both by 7

y = 4

now putting y=4 in two equations

2x - 3y = -2
2x-3(4) = -2
2x-12 = -2
2x = -2 + 12
2x = 10
x = 5

or

4x + y = 24
4x + 4 = 24
4x = 24-4
4x = 20
x = 5

so its (5,4)

please help me with it

Answers

Answer:

50

Step-by-step explanation:

bfa and afe will add up to equal 180 because they are supplementary

20x+2x+70=180

22x+70=180

22x=110

x=5

then you plug in 5 to 2x+70 to get 80

cfe and afe are also complementary so they will add up to equal 180 so angle cfe equals 100

cfd and cfe are the same angles so 100/2=50.

the arc length is the same as the angles so arc length dc is 50

HEY CAN ANYONE PLS FIND THE SLOPE FOR THIS GRAPH!!

Answers

Answer:

1/3

Step-by-step explanation:

Rise is 1, run is 3, and slope is rise over run. Hope this help. God bless! :)

The ratio of the length of a room to its width is 5 to 3. What is the width of a room if its length is 30 feet? Media558a6e2383191.Gif

Answers

Answer:

18ft

Step-by-step explanation:

Given data

Ratio of length to width = 5:3

Length = 30ft

Apply the part to part method

let the width be x

5/3= 30/x

cross multiply

5x= 30*3

5x= 90

x= 90/5

x=18 ft

Hence the width is 18ft

which of the following trigonometric ratios is equal to 0?
cos π
sin 2π
cot 3π
cos 4π

Answers

Answer:

sin 2π

Step-by-step explanation:

   

None of the given trigonometric functions are equal to zero.

What are trigonometric ratios?

Trigonometric ratios are used to define the relation between the sides of a right - angled triangle.

Given are the trigonometric functions.

cos π = - 1

sin 2π = 1

cot 3π = -1

cos 4π = 1

None of the functions are zero.

Therefore, none of the given trigonometric functions are equal to zero.

To solve more questions on trigonometric ratios, visit the link below -

https://brainly.com/question/25122832

#SPJ2

Write an
equation of the line passing through the points (4,13) and (-1,- 12).

Answers

Answer:

Step-by-step explanation:

(-12 - 13)/(-1 - 4)= -25/-5 = 5

y - 13 = 5(x - 4)

y - 13 = 5x - 20

y = 5x - 7

A. Solve the following linear inequalities.
1. x + 7 <1
2. x + 3.2 < 6.4
3. 3x < 12
4. x/2.5 >5
5. 4a 23.6
6. 1.6 b< 8
7. Z + 4.2 < 2.1​

Answers

Answer:

1. x < −6

2. x < 3.2

3. x < 4

4.  x>12.5

5. ? there is no "<, >" sign

6. b<5

7.  z<−2.1

pls give brainliest

Step-by-step explanation:

see photos for explanation

4. Jim and Kirk are playing a card game where they trade chips. At the beginning of the game, Jim has four times as many chips as Kirk does. After Kirk wins the game, Jim gives Kirk 18 of his chips, at which point they now have the same number of chips. How many did Kirk have to begin with?

(a) If j represents the original number of chips Jim had and k represents the original number of chips that Kirk had, then write an equation that models the amount of chips they originally had. Explain your equation.

(b) The equation j k − = + 18 18models the scenario after Kirk wins the game. Explain why.

(c) Determine how many chips both Kirk and Jim started with.

Answers

Answer:

(a) [tex]j = 4k[/tex]

(b) [tex]4k - 18 = 18 + k[/tex]

(c) Jim initially had 48; Kirk initially had 12

Step-by-step explanation:

Given

[tex]j = Jim[/tex]

[tex]k=Krik[/tex]

Solving (a): An equation for the amount they originally had.

From the question, we understand that j is 4 times as many as k.

Mathematically, this is:

[tex]j = 4 * k[/tex]

[tex]j = 4k[/tex]

Solving (b): Equation after Kirk wins

Initially Kirk had k.

To get the new expression, we add 18 to k.

This gives: 18 + k

In the same vein, Jim's number of chirps will reduce by 18.

Initially, Jim had j chirps (or 4k chirps)

To get the new expression, we subtract 18 from j.

This gives: j - 18

So, the equation is:

[tex]j - 18 = 18 +k[/tex]

Solving (c): Number of chirps they started with.

In (b), we have:

[tex]j - 18 = 18 +k[/tex]

Substitute 4k for j

[tex]4k - 18 = 18 + k[/tex]

Collect Like Terms

[tex]4k - k = 18 + 18[/tex]

[tex]3k = 36[/tex]

Divide both sides by 3

[tex]k =12[/tex]

Substitute 12 for k in [tex]j = 4k[/tex]

[tex]j = 4 * 12[/tex]

[tex]j = 48[/tex]

I need help please!!!! RIGHT NOW!!!

Answers

(-3,2) would be the answer

Write and equation for each line.

Answers

Answer:

l - y=4

m y = -2x+4

n y =x-1

p - x=-4

Step-by-step explanation:

Answer:

Blue: x=-4

Green: y=x-1

Black: y=-2x+4

Red: y=4

Step-by-step explanation:


HELLPPPPPP!!!!!


Jane needs a short-term loan to buy a new washing machine. She needs to borrow $1500 at 20% compounded
annually and plans to have it paid off in 1 year. Jane writes the formula 1500(1.2) and finds out that this loan will
cost her $1800
Which equation shows how Jane can rewrite the formula to find the annual percentage rate that would cost her the
same amount if it compounded semi-annually?



O A ~ 1500(1.2)
O A = 1500(1.2)2
O A 1500(1.095)2
O A = 1500(1.095)*'

Answers

Answer: A=1500 (1.095)1/2t

A drawing of a surfboard in a catalog, it shows its length as 8 4/9 inches. Find the actual length of the surfboard if 1/3 inch length from the drawing corresponds to 3/8 foot of the actual surfboard.

Answers

Answer:

9.5 feets

Step-by-step explanation:

Length of drawing = 8 4/9 inches

Scale : 1/3 inch in drawing = 3/8 actual length

Length of drawing / drawing scale

8 4/9 = 76/9 inches

Number of 1/3 inches in total length of drawing :

76/9 ÷ 1/3

76/9 * 3 / 1

(76*3) /(9*1) = 228 /9 = 9 3/9 = 9 1/3

9 1/3 * 3/8 foot

(228 / 9) * (3 /8)

(228/3) * (1/ 8)

228 / 24

= 9.5 feet

Find the volume of the cone. Round to the nearest tenths

Answers

Answer:

[tex]vol. \: of \: cone = \frac{1}{2} \pi {r}^{2} h \\ = \frac{1}{2} \times \frac{22}{7} \times 8 \times 8 \times 9 \\ = \frac{11 \times 64 \times 9}{7} \\ = \frac{6336}{7} = 905.142[/tex]

A pound of scrap aluminum sells for $0.72. How much aluminum do you need
to collect to earn $100?

Answers

Answer:

about 139 lbs of scrap aluminum :)

can someone help me out please. its due soon and i dont have alot of time

Answers

Answer:

heyy there sorry i wish i could help i think its the first one!!!

Step-by-step explanation:

answer this question plz

Answers

37/45


since they both have a zero on them you can take it off and it will be a correct fraction
37/45 is the correct answer

When playing the integer game, the first two cards were -8 -10. What is the value of your hand? Write an equation to justify your answer.

Answers

Answer:

-18

Step-by-step explanation:

-8 + (-10)

-8-10

-18

Hope this HELPS

Si el máximo común divisor (MCD) de 6432 y 132 disminuye en 8, entonces será igual a: * 1 punto 6 4 -2 -6

Answers

Answer:

4

Step-by-step explanation:

Para empezar el maximo común divisor (MCD) de dos números se refiere al número en común que tienen ambos números, entre los cuales pueden ser divididos. En el caso del máximo se refiere al número más alto posible en que ambos números pueden ser divididos.

Para poder saber esto, es necesario anotar los factores en los cuales pueden ser divididos ambos números. Sin embargo, ya que son cantidades altas, puede tomar mucho tiempo determinar esto, por lo tanto nos vamos a la respuesta final.

Sabemos que el MCD de 132 y 6432 es disminuido en 8 unidades, es decir, se le resta 8 al MCD de esos números, y ese número debe coincidir con alguna de las opciones puesta ahí. Por lo tanto, lo que vamos a hacer para resolverlo rápidamente es sumarle 8 a cada una de las opciones y luego, verificaremos si el número obtenido es divisor de 132 y 6432.

Obtención del MCD original:

a) 6 + 8 = 14

b) 4 + 8 = 12

c) 2 + 8 = 6

d) 6 + 8 = 2

Con estos resultados, veamos cual de ellos es el MCD de 132 y 6432.

Para el 6432:

6432 / 2 = 3216

6432 / 6 = 1072

6432 / 12 = 536

6432 / 14 = 459,24

Podemos observar con estos resultados que el 14 queda descartado al tener un resultado decimal, por lo tanto debe ser 2, 6 o 12. Veamos la cuenta con el 132:

Para el 132:

132 / 2 = 66

132 / 6 = 22

132 / 12 = 11

Podemos observar ahora en este caso que el 132 es divisible entre 12, por lo tanto, es el MCD entre 132 y 6432, asi que se concluye que el resultado de disminuir por 8 el MCD de ambos números es:

12 - 8 = 4

Exitos

Por definición de máximo común divisor,

MCD

Se denomina máximo común divisor o MCD al mayor número que divide exactamente a dos o más números a la vez. Es decir, MCD de dos o más números es el mayor número que divide a todos de manera exacta.

En otras palabras, el máximo común divisor o MCD es la cifra más alta por la cual se puede dividir un conjunto de números, dando como resultado un número entero.

Recordar que un divisor puede definirse formalmente como aquel número que está contenido en otro de forma exacta una cantidad n de veces.

Cálculo de MCD

Para calcular el máximo común divisor de dos o más números, en primer lugar se debe descomponer esos números en factores primos.

La descomposición de un número en factores primos es encontrar los números primos que se multiplican para formar ese número, recordando que los números primos son aquellos que solo se dividen por sí mismos y por 1.

El máximo común divisor se obtiene escogiendo solo los factores primos comunes a los números, elevados al menor exponente. Es decir, se debe elegir solo los factores comunes, y los que se repitan son elegidos elevados a la mínima potencia.

Este caso

La descomposición en factores primos es:

6432= 2⁵×3×67

132= 2²×3×11

Entonces, el MCD es calculado como:

MCD (6432, 132)= 2²×3

MCD (6432, 132)= 12

Por último, el máximo común divisor (MCD) de 6432 y 132 disminuye en 8, por lo que:

12 - 8= 4

En resumen, si el máximo común divisor (MCD) de 6432 y 132 disminuye en 8, entonces será igual a 4.

Aprende más sobre MCD:

https://brainly.com/question/16553918?referrer=searchResultshttps://brainly.com/question/24176034?referrer=searchResults

Simplify:
(8 - 5i) - (-2 +3i)

Answers

Answer:

(3) -(1) = 2i

Step-by-step explanation:

use bomdass

Answer:

Step-by-step explanation:

(8-5i)(2-3i)

using FOIL,

16-34i+15i squared?

-8(y + 5) = -8y - 40 TRUE or FALSE

Answers

Answer: true because that’s what you get when you use the distributive property

Step-by-step explanation:

Jessica wants to buy 6 ounces of gluten-free edible cookie dough that costs $1.50 per ounce. Select all equations that correctly represent how much Jessica will pay for her cookie dough, y .

Answers

Answer:

9 dollars

Step-by-step explanation:

Hello you did not provide the options for me to select from. But I have gone ahead to calculate how much jessica would pay for her cookie dough.

I used this formula to arrive at this answer.

Cost of dough = quantity x price per ounce

Quantity = 6 ounces

Price per ounce = 1.5 dollars

Cost of dough = 6 x 1.50

= $9

Jessica is going to pay 9 dollars for her cookie dough

Subtract. Express your answer in simplest form.

8 1/4 - 5 2/3

Answers

2 7/12 or 31/12 or 2.583
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