solve 3^y = 12 and
find y

Answers

Answer 1

Answer:

3^y = 12Take the logarithm of both sides of the equation to remove the variable from the exponent. Exact Form:y =  [tex]\frac{ln 12}{ln 3}\\\\\\[/tex]   = (ln 12)/(ln 3)y = 2.261

Related Questions

Help plz:) photo attached

Answers

Answer:

y=5x+25

Step-by-step explanation:

Since the y intercept for the scatterplot is 25, that means that the only equation that matches the graph is y=5x+25

y=5(0)+25

y=0+25

y=25

How much is a medium pizza and garlic bread?

Answers

Answer:

$10.10

Step-by-step explanation:

$7.50 + $2.60 = $10.10

Geometry Special Quadrilaterals show work please

Answers

Answer:

a = 16

w = 125

x = 120

y = 55

Step-by-step explanation:

FINDING 'a'

31 = a + 46 / 2

62 = a + 46

16 = a

FINDING 'w'

* This section looks Non-Isosceles trapezoid so I will be following the rule according it

w + 55 = 180

w = 125

FINDING 'y'

y = 55

- Because of corresponding angles

FINDING 'x'

* In this case it looks like we are still dealing w/ an non-isosceles trapezoid.

x + 60 = 180

x = 120

Hope this helped ^^

(Please inform me of any mistakes or misunderstandings!)


Somebody confirm that I am not a complete moron please and thanks

Answers

Answer:

B

Step-by-step explanation:

Triangle B because 128°>90°

Answer:

it should be correct ANSWER D TRIANGLE B

Step-by-step explanation:

"An obtuse triangle is a triangle in which one of the angles is an obtuse angle. (Obviously, only a single angle in a triangle can be obtuse or it wouldn't be a triangle.) A triangle must be either obtuse, acute, or right"

-dont worry you are smart we are all good at something!

Evaluate 3^2+ (7 - 2). 4 - 6 thirds

Answers

Answer:

ITS A STRANGE SEQUENCE OF EVENTS MI BOI-REGTOOFUNNY-FUNNYMIKE

Step-by-step explanation:

Five years ago, Mark was twice as old as Max. In three years, Max's age will be 2/3 that of Mark. What is the sum of their ages now

Answers

Answer:

4years

Step-by-step explanation:

Let the present age of Mark be x

Let the present age of Max be y

Five years ago

Mark = x-5

Max = y - 5

If mark was twice as old as Max, then;

x - 5 = 2(y-5)

x-5 = 2y - 10

x-2y = -10+5

x - 2y = -5 ... 1

In three years,

mark = x+3

Max = y+3

Now if Max's age will be 2/3 that of Mark, then;

x+3 = 2/3(y+3)

3(x+3) = 2(y+3)

3x + 9 = 2y+6

3x-2y = -3 .... 2

Solve 1 and 2 simultaneously

x - 2y = -5 ... 1

3x-2y = -3 .... 2

From 1: x = -5 + 2y

Substitute into 2:

3(-5+2y) - 2y = -3

-15 + 6y - 2y = -3

-15 + 4y = -3

4y = -3 + 15

4y = 12

y = 3

Recall thet x = -5+2y

x = -5+2(3)

x = -5 + 6

x = 1

The sum of their ages will be x+y

x+y = 1+3

x+y = 4

Hence the sum of their ages now is 4years

HELPPP PLASE ITS DUE REALLY SOOOONNNNNNNNNNNN!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

4 sorry of its not right

The choices are<,>,= and greater then or equal to

Answers

Answer: equal

Step-by-step explanation:

The square root of 35 is 5.9

5 9/10 = 5.9

In art class, David painted an image of a bowl of fruit. For the oranges, he mixed 2 ounces of
white paint and 4 ounces of orange paint. For the peaches, he mixed 3 ounces of white paint
and 5 ounces of orange paint. Which type of fruit was a lighter shade of orange?

Answers

Answer: the peaches were a lighter shade of orange

Try it out! What is the slope of the line that goes through the points (6,9) and (7.1)?​

Answers

Answer:

-8

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

1-9/7-6

-8/1

-8

Best of Luck!

Answer: The slope is equal to -8

Step-by-step explanation:

Since we know all of the points we can put it into the equation y2-y1 divided by x2-x1

So we input the numbers into the equation

1-9= -8

7-6= 1

-8/1 comes out to  -8

                                                                                                         

To get on a certain toll road a driver has to take a card that lists the mile entrance point. The card also has a timestamp. When going to pay the toll at the exit, the driver is surprised to receive a speeding ticket along with the toll. Explain how this can happen.

Answers

Answer:

Step-by-step explanation:

This can happen because of the timestamp on the toll card. When you pass through the initial entrance point the timestamp marks the exact moment you passed. When you pass through the exit toll point the individual subtracts the current time from the time you entered the initial toll entrance. From this, he can easily determine the average speed that you were driving at. If the average speed is higher than the speed limit, it means that at some point between the two toll booths you were speeding and therefore they can give you a speeding ticket.

find the Pecimeter of the figure given below

Answers

Step-by-step explanation:

perimeter(P)=3+4+43+4+411

Answer:

perimeter= 4+4+3

11

Step-by-step explanation:

....

The lgrsedfaffedadwaawdwaffweaf

Answers

What does that even say

Question
8 - (-7) =
Plz help me!!!

Answers

Answer:

8-(-7)=

8(7)=

8+7=15

Step-by-step explanation:

prove me wrong

3 digit number
when it is divided by 9 the remainder is 3​

Answers

Answer:

Mabey 102 try that.

Step-by-step explanation:

Hope this helps!

Given ABC with A(0, 0), B(2, 3),
and C(4,0), prove ABC is isosceles

Answers

Step-by-step explanation:

1. if to calculate the length of AB; AC and BC, then:

[tex]|AB|=\sqrt{(2-0)^2+(3-0)^2} =\sqrt{13}.[/tex]

[tex]|AC|=\sqrt{(4-0)^2+(0-0)^2} =4.[/tex]

[tex]|BC|=\sqrt{(2-4)^2+(0-3)^2}= \sqrt{13}.[/tex]

2. if to compare the calculated lengths, then:

AB=BC. It means the given triangle is isosceles.

4. An angle turns through
2/8 of the circle. What is
the measure of
this angle?

Answers

Answer:

Teachers already introduce the general concept of revolutions (turns) when they say things like "a full circle is 360°", but they can make the concept more numerically precise by saying "a full turn is 360°, a half turn is 180°, a quarter turn is 90°, and an eighth turn is 45°" or writing "1 rev = 360°, 1/2 rev = 180°, ...

Step-by-step explanation:

hope this help :)

( t _t )

Answer:

An angle that turns through 1 360 of a circle what is the measure in degrees of the angle

Step-by-step explanation:

Angles are typically measured in degrees or radians. Angle measure is based on a circle where a full turn around the circle is 360 degrees. Similarly, a half turn is 180 degrees, a fourth [quarter] turn is 90 degrees, and so on.

4 + 3(4 - 2)^2 - 3(3 - 2)^3

Answers

PEMDAS

4+3(4-2)^2 - 3(3-2)^3
4+3(2)^2 - 3(1)^3
4+3(4) - 3(1)
4+12-3
16-3
13

The answer is 13

22= 18x + 4 please help!!

Answers

Answer:

x=1

Step-by-step explanation:

22-18=4  18-18=/

18x1=18

22=18(1)+4

22-18(1)=4

Answer:

22=18x + 4

Step-by-step explanation:

collect like terms 22 and +4

+4 crosses equality sign and turns to -4

you get 22-4=18x

therefore 18x=18

cancel 18 in both sides x = 1

Here is a rate: 12 feet in 3 hours.
Find the unit rate:
feet per hour

Answers

Answer:

4

Step-by-step explanation:

12 feet divided by 3 hours is 4

Answer:

4 feet per hour

Step-by-step explanation:

12 feet in 3 hours

12/3 = 4

4 feet in 1 hour

[Calculus] particle at rest question. Show steps, please!

Answers

Answer:

E

Step-by-step explanation:

We are given that a particle's position along the x-axis at time t is modeled by:

[tex]x(t)=2t^3-21t^2+72t-53[/tex]

And we want to determine at which time(s) t is the particle at rest.

If the particle is at rest, this suggests that its velocity at that time is 0.

Since are we given the position function, we can differentiate it to find the velocity function.

So, by differentiating both sides with respect to t, we acquire:

[tex]\displaystyle x^\prime(t)=v(t)=\frac{d}{dt}\big[2t^3-21t^2+72t-53\big][/tex]

Differentiate. So, our velocity function is:

[tex]v(t)=6t^2-42t+72[/tex]

So, we will set the velocity to 0 and solve for t. Hence:

[tex]0=6t^2-42t+72[/tex]

We can divide both sides by 6:

[tex]0=t^2-7t+12[/tex]

Factoring yields:

[tex](t-3)(t-4)=0[/tex]

By the Zero Product Property:

[tex]t-3\text{ and } t-4=0[/tex]

Hence:

[tex]t=3\text{ and } t=4[/tex]

Therefore, at the 3rd and 4th seconds, the velocity of the particle is 0, impling that the particle is at rest.

Our answer is E.

A dragon lived in a cave.
The dragon doubled in size every day.
After 20 days the dragon filled the cave.
After how many days did the dragon half-fill the cave?

Answers

Answer: After 19 days, the dragon filled half of the cave.

Step-by-step explanation:

The dragon doubled in size every day and after 20 days he filled the cave.

So, one day before, the dragon occupied half of the cave.

20 - 1 = 19  [days]

After 19 days did the dragon half-fill the cave.

The dragon doubles in size every day, and after 20 days, it completely fills the cave.

To find out when the dragon half-filled the cave, we need to determine how many days it took for the dragon to reach half of the cave's capacity.

we know that,

On the 20th day, the dragon filled the entire cave.

and, The dragon doubled in size every day.

so, we have,

On the 19th day, the dragon's size would have been half of what it was on the 20th day.

On the 18th day, the dragon's size would have been half of what it was on the 19th day.

And so on...

We can see that every day before the 20th day, the dragon's size was halved.

So, on the 19th day, the dragon's size was half of the size it was on the 20th day.

Therefore, on the 19th day, the dragon half-filled the cave, and on the 20th day, it filled the entire cave.

Hence, After 19 days did the dragon half-fill the cave.

To learn more on subtraction click:

brainly.com/question/2346316

#SPJ4

write the edge of the cube in terms of its volume​

Answers

Answer:

Step-by-step explanation:

The formula for the volume is given by

(side)3=volume

Since we have the volume, we must take the cube root of the volume to find the length of any one side (since it is a cube, all of the sides are equal).

(side)3−−−−−−√3=side=volume−−−−−−√3

Plugging in 216 for the volume, we end up with

side=6 cm

Answer:

a = ∛v

Step-by-step explanation:

Edge (a) volume (v)

v = a³

a = ∛v

Can y’all plz help me

Answers

Answer:

D. 10

Step-by-step explanation:

Assuming that <COA is a right angle, we can say that the two given angles are complementary

complementary angles are angles that add up to 90 degrees

this means we can create this equation: 3x + 46 + 14 = 90

so subtract 46 and 14 from 90: 3x = 30

divide both sides by 3: x = 10

Answer:

I think that it is letter D

Step-by-step explanation:

sorry if im wrong. but i hope this helps! :)

What is the exact value of cos7pi/12

Answers

(sqrt2 - sqrt6)/4 = - 0.259

cos ((7pi)/12) = cos 105 = - 0.259

Answer:

D. sprt2 - sqrt6/4

Step-by-step explanation:

If you mean the answer for edg that's what it is.

Hope that helps

PLEASE ANSWER GIVING 30 POINTS

Answers

Answer:

this is only 15points but ok

Step-by-step explanation:

answer: D)

Answer:

The answer should be 15.

Step-by-step explanation:

[tex]\sqrt[3]{125}[/tex] Factor 125 = [tex]5^{2}[/tex] x 5. Rewrite the square root of the product [tex]\sqrt{5^{2}X5 }[/tex]  as the product of square roots. [tex]\sqrt{5^{2} }[/tex]   [tex]\sqrt{5}[/tex]. Take the square root of [tex]5^{2}[/tex].

[tex]3[/tex] x [tex]\sqrt[5]{5}[/tex] Multiply 3 and 5 to get 15.

[tex]\sqrt[15]{5}[/tex]

goes through the points (6,2) and (5, 4)

Answers

Sorry What do we need to look for here?

find (4.54×10^8)-(3.98×10^8)

Answers

Answer:

[tex]5.6 *10^7[/tex]

Step-by-step explanation:

Given

[tex](4.54*10^8)-(3.98*10^8)[/tex]

Required

Solve

[tex](4.54*10^8)-(3.98*10^8)[/tex]

Apply distributive law of algebra

[tex](4.54 - 3.98) *10^8[/tex]

Evaluate the expression in bracket

[tex](0.56) *10^8[/tex]

Remove bracket

[tex]0.56 *10^8[/tex]

When a number is in standard form: [tex]a * 10^n[/tex]

The value of a must be: [tex]1 \le a \le 10[/tex]

So, the expression becomes:

[tex]5.6 *10^{-1}*10^8[/tex]

Apply law of indices

[tex]5.6 *10^{-1+8}[/tex]

[tex]5.6 *10^7[/tex]

18.) Which expression is equivalent to -6x + 7.5?
A. -3(2x - 2.5) B. -3(2x + 2.5) C. -3(2x - 7.5)
D.-3(2x + 7.5)

Answers

Answer:

D

hope this helped:)

if 50% is 10 what is 25%​

Answers

Step-by-step explanation:. The first says “I know that 10 is one-tenth of 100. I will therefore divide 50 by 10. The answer is 5”.

This is fine when the numbers are relatively simple. But suppose the numbers are more complicated.

What is 22% of 46?

Now it’s much less straightforward. You can’t just work out what 22% is, expressed as a fraction, and anyway, it’s not a simple fraction.

Instead, you have to divide 46 into 100 equal parts, and work out what 22 of them would be when added together.

So: 46 ÷ 100 = 0.46 [remember, when you divide by 100, you move the decimal point two places to the left].

0.46 × 22 = 10.12

Answer: 22% of 46 is 10.12.

Hope this helped :)

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