What is the solution to the equation below? Round your answer to two
decimal places.
5* = 55
O A. x = 2.40
B. X= 2.49
C. x = 1.04
D. x= 0.40

What Is The Solution To The Equation Below? Round Your Answer To Twodecimal Places.5* = 55O A. X = 2.40B.

Answers

Answer 1

Given:

The equation is

[tex]5^x=55[/tex]

To find:

The value of x.

Solution:

We have,

[tex]5^x=55[/tex]

Taking log both sides, we get

[tex]\log (5^x)=\log (55)[/tex]

[tex]x\log (5)=\log (55)[/tex]        [tex][\because \log x^n=n\log x][/tex]

[tex]x=\dfrac{\log (55)}{\log (5)}[/tex]

Using the log values, we get

[tex]x=\dfrac{1.740}{0.699}[/tex]

[tex]x=2.48927[/tex]

[tex]x\approx 2.49[/tex]

Therefore, the correct option is B.


Related Questions

6) A right triangle its rotated about an axis that passes through its height as shown. Which type of object will be formed by its rotation? Describe in words or draw a picture
object will be formed by its rotation? Describe in words or draw a picture.

Answers

Answer:

a cone

Step-by-step explanation:

i got it right

Answer:

CONE

Step-by-step explanation:

Which expression would be easier to simplify if you used the associative property to change the grouping?
A.(160+40)+27(160+40)+27

B.0.85+[0.15+(-\frac{1}{3})]0.85+[0.15+(− 31 )]

C.[(-\frac{1}{3})+(-\frac{2}{3})]+(-\frac{4}{5})[

D.1 + ( 3/4 + ( - 3/4)


brainliest if right and its on ap..ex

Answers

Answer:

C is the answer

Step-by-step explanation:

Somehow this was in my test last week , lol

The sum of three angle measures in a triangle is always 180°.

Answers

Answer:

YES IT IS RIGHT.......!

1.)
a^2b^3
---------- <-----write in expanded form.
cd


2.)what is the exact solution to the equation 4^5x=3^x-2

Please show all work I've been struggling to understand these questions!!!! thank you so much <3

Answers

Answer:

1. Expanded form of [tex]a^{2} . b^{3}[/tex] = (a.a).(b.b.b)

2.Exact solution x = -0.376

Step-by-step explanation:

Solution:

First we have to write the Expanded Form of [tex]a^{2} . b^{3}[/tex], Let's do it.

1) [tex]a^{2} . b^{3}[/tex] = (a.a).(b.b.b)

Hence,

Expanded form of [tex]a^{2} . b^{3}[/tex] = (a.a).(b.b.b)

2) [tex]4^{5x} = 3^{x-2}[/tex]

Now, we have to find out the exact solution of the above equation:

In order to equate the exponents, we need to make sure the bases are same. Or we simply can use logarithm to solve the above equation.

So,

We are using logarithm to solve this equation.

Let's break this down:

[tex]4^{5x} = 3^{x-2}[/tex]

Taking log on both sides.

log[tex]4^{5x}[/tex] = log[tex]3^{x-2}[/tex]  

[tex]5xlog(4)[/tex] = [tex](x-2)log(3)[/tex]

Dividing both sides by log(4)

[tex]5x[/tex] = (x-2) [tex]\frac{log(3)}{log(4)}[/tex]

value of log(3) = 0.4771

value of log(4) = 0.6020

[tex]5x[/tex] = (x-2) [tex]\frac{log(0.4771)}{log(0.6020)}[/tex] =

5x = (x-2)0.792

5x = 0.792x - 1.584

by rearranging the equation, we get:

0.792x - 5x = 1.584

x(0.792 - 5) = 1.584

x(-4.208) = 1.584

x = -1.584/4.208

x = -0.376

Exact solution x = -0.376

what is the volume of the figure?

Answers

Answer:

944 cubic feet

Step-by-step explanation:

You need to take the area of the figure separately.

[tex]8*10*5=400[/tex]

[tex]17*8*4=544[/tex]

400 + 544 =944

Let T: P2 → P3 be the transformation that maps a polynomial p(t) into the polynomial (t-2)p(t).

a. Find the image of p(t) = 2-t + t^2
b. Show that T is a linear transformation.
c. Find the matrix for T relative to the bases (1, t,t^2) and (1,t,t^2,t^3).

Answers

(a) Applying T to p(t) = 2 - t + t ² gives

T ( p(t) ) = (t - 2) (2 - t + t ²) = -4 + 4t - 3t ² + t ³

(b) T is a linear transformation if for any p(t) and q(t) in P₂ and complex scalars a and b, the image of any linear combination of p and q is equal to the linear combination of the images of p and q. In other words,

T ( a p(t) + b q(t) ) = a T ( p(t) ) + b T ( q(t) )

Let

p(t) = α₀ + αt + αt ²

q(t) = β₀ + βt + βt ²

Compute the images of p and q :

T ( p(t) ) = (t - 2) (α₀ + αt + αt ²)

… = -2α₀ + (α₀ - 2α₁) t + (α₁ - 2α₂) t ² + αt ³

Similarly,

T ( q(t) ) = -2β₀ + (β₀ - 2β₁) t + (β₁ - 2β₂) t ² + βt ³

Then

a T ( p(t) ) + b T ( q(t) ) = a (-2α₀ + (α₀ - 2α₁) t + (α₁ - 2α₂) t ² + αt ³) + b (-2β₀ + (β₀ - 2β₁) t + (β₁ - 2β₂) t ² + βt ³)

… = c₀ + ct + ct ² + ct ³

where

c₀ = -2 (a α₀ + b β₀)

c₁ = a (α₀ - 2α₁) + b (β₀ - 2β₁)

c₂ = a (α₁ - 2α₂) + b (β₁ - 2β₂)

c₃ = a α₂ + b β

Computing the image of a p(t) + b q(t) would give the same result; just multiply it by t - 2 and expand. This establishes that T is indeed linear.

(c) Find the image of each vector in the basis for P₂ :

T (1) = (t - 2) × 1 = t - 2

T (t ) = (t - 2) t = t ² - 2t

T (t ²) = (t - 2) t ² = t ³ - 2t ²

Then

[tex]T=\begin{bmatrix}-2&0&0\\1&-2&0\\0&1&-2\\0&0&1\end{bmatrix}[/tex]

The ratio of the measures
of the angles of a triangle is
6:10:2. What is the measure of
the smallest angle.

Answers

Answer:36

Step-by-step explanation:

You would add 6x + 10x + 2x = 180 then add your xs to get 18x =180 divide to 18 then multiply by 2 and get 35 :)

Behind you there is a sneeze. You don't know it at the time, but this begins a chain reaction of flu that ripples through the school
It starts with only 20 students but the number infected grows every day at a rate of 10% How many people are infected at day 24.

Answers

Answer:

how bad do u need this answer 1 through 10

Can someone please help me Please I'm desperate
Rob is 7 years older than James. Kate is 2 years younger than James. If the sum of their ages is 116, how old are each of the siblings?

Answers

Answer:

James is 37, Rob is 44, and Kate is 35

Step-by-step explanation:

Set up an equation where x is James' age:

Rob's age can be represented by x + 7, since he is 7 years older than James

Kate's age can be represented by x - 2, since she is 2 years younger than James

Add these together in the equation and set it equal to 116:

(x + 7) + (x - 2) + (x) = 116

Add like terms and solve for x:

(x + 7) + (x - 2) + (x) = 116

3x + 5 = 116

3x = 111

x = 37

So, James is 37.

Find Rob's age by adding 7 to this:

37 + 7

= 44

Find Kate's age by subtracting 2:

37 - 2

= 35

So, James is 37, Rob is 44, and Kate is 35

Answer:

Rob = 44

Kate = 35

James = 37

Step-by-step explanation:

Rob = 44     which is 7 years older than James

Kate = 35     which is 2 years younger than James

James = 37

11.) Is the equation below linear or nonlinear?

Y=9x-5

Answers

Answer:

liner

Step-by-step explanation:

16 – (3 – 4y) = 2(y + 2)

Answers

Answer:

[tex]y = -4\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]16-(3-4y) = 2(y+2)[/tex]

Distribute.

[tex]16 - 3 + 4y = 2y + 4[/tex]

Combine like terms.

[tex]13 + 4y = 2y + 4[/tex]

Subtract [tex]2y[/tex] from both sides.

[tex]13 + 2y = 4[/tex]

Subtract 13 from both sides.

[tex]2y = -9[/tex]

Divide both sides by 2.

[tex]y = -4\frac{1}{2}[/tex]

I hope this helps!

josè and nancy take care of animals when the owners are away. josè charges $15 plus $2 per animal. nancy charges $5 plus $3 per animal. for how many animals do they charge the same amount?

get it right i will give you 100 points

Answers

Hey there! I'm happy to help!

Here's José's equation.

J=2a+15

And here is Nancy's.

N=3a+5

We want to find the number of animals where they are the same amount, or where J=N. We can write these equations as equal and solve for a to find the answer!

2a+15=3a+5

Subtract 15 from both sides.

2a=3a-10

Subtract 3a from both sides.

-a=-10

Divide both sides by -1.

a=10

Therefore, José and Nancy charge the same amount for 10 animals.

Have a wonderful day! :D

Look at pic and pls halp

Answers

70° because the angle between jk is 110 after subtracting 70 from 180. For angle 1, subtract 110 from 180 to get 70

-5/12 - (-9/3)=

Help me please

Answers

Answer:

HOW T.F DO YOU NOT

Step-by-step explanation:

-5/12+3

2 7/12

UST CAUSE

Answer: -5/4

Step-by-step explanation:

You are your friend are playing a game where you flip a coin and roll a fair four-sided die.

Answers

What about it?????????

Answer: is this the best ratio question

Step-by-step explanation:

A rectangular based prism has a length of
12m a width of 7m and height of 11m. Find
its volume.

Answers

Answer:

924m^3 is the volume of the rectangular prism

If 4 movie tickets cost $28, how much would it cost to buy 9 movie tickets

Answers

Answer:

$63

Step-by-step explanation:

First, divide 28 by 4 to get 7

Now we know that one ticket cost $7.

Do 7 times 9 to get 63

9 tickets costs $63

9 movie tickets would cost $63.

Since 4 movie tickets cost $28, you can divide 28 by 4 to get 7. From here, you can multiply 7 by 9 to get 63.

May I have brainliest please? :)

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]

will give branliest
Simplify the follow expression

3x + 8y + 13x

Answers

the answer would be: 16x+8y
you just combine like terms

Answer:

16x+8y

Step-by-step explanation:

Let's simplify step-by-step.

3x+8y+13x

Combine Like Terms:

=3x+8y+13x

=(3x+13x)+(8y)

=16x+8y

Henry went clothes shopping and bought 3 pairs of shorts for $22.99 each, 2
shirts for $32.99 each and one pair of shoes for $54.99. What is the most
reasonable estimate of the total amount he spent on all the clothing?
A. $135
B. $184
C. $190
D. $223

Answers

Answer:

C

Step-by-step explanation:

Provide a radian measure of an angle that is 5/8 of a revolution counterclockwise from the x-axis.

Answers

I’m pretty sure but not so sure I think it is 180

If there were 1,593 Ronald McDonald's in the McDonald's, how many could fit?

Answers

depends on the size of the mcdonald’s

Answer:

over 1,593

Step-by-step explanation:

if there was already 1,593 Ronalds in the McDonalds the McDonalds can most likely fit over that amount

Pythagorean Theorem Quiz.
1.) Find the unknown side length. Simplify answers that are radicals.
4
3
2.) Find the unknown side length. Simplify answers that are radicals.
16
12

Answers

Answer:

1.) 5              2.) 10.58

Step-by-step explanation:

For each one, you use the equation a^2 + b^2 = c^2 where c is the "hypotenuse"-- the side of the triangle opposite (facing) the right angle which is shown with a small box. The variables a and b do not matter, as long as they are the "legs", the other 2 sides.

So it is 4^2 + 3^2 = c^2 which simplifies to 16+9=25=c^2 and square root both sides and you get c=5

and 12^2 + b^2 = 16^2 which simplifies to 144+ b^2 = 256 and subtract 144 from both sides and you get b^2 = 112 and square root both sides and it is approximately 10.6 :)

There are 23 students in a sixth-grade class. Nine students play hockey.
What is the ratio of students who do not play hockey to the total amount of
students? (6.RP.1)
point
O 9 to 23
O 14 to 23
O 14 to 9
O 9 to 14

Answers

Answer:

14:23

Step-by-step explanation:

14:23

Answer:

its 14-23

Step-by-step explanation:

Please help me answer this :)
Explain your answer

Will give brainiest ! Oh

Answers

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Because the points are going up by 10 :)

Markers were placed at altitudes of 10 and 15 feet below sea level Enter the integer that represents the altitude closer to sea level​

Answers

Answer:

43

neeed...20...charetors

The integer that represents the altitude closer to sea level​ is 10.

What is addition?

Addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value. A numerical expression is algebraic information stated in the form of numbers and variables that are unknown.

We are informed that Markers were placed at altitudes of 10 and 15 feet below sea level

Then we need to find the integer that represents the altitude closer to sea level​.

We can say that 10 is negative (below the sea level), and 10 is 10 spaces away from zero on the number line, meaning the answer could be |10|.

The sea level would be 0 and the 10 would be -10 and the 15 will be -15

Hence, the 10 is closer to the sea level.

Thus the integer that represents the altitude closer to sea level​ is 10,

Learn more about fraction addition here:

https://brainly.com/question/17544795

#SPJ2

9. A cell phone can be purchased from the manufacturer for $160. The online retailer has a
standard markup of 30%, and the store has a standard markup of 40%.
(a)What is the price of the cell phone when purchased online?
(b)What is the price of the cell phone when purchased at the store?
(c) Which is the better deal?

Answers

Answer Below

30% of 160 is 48 dollars. Meaning you would take the 48 from 160. Leaving 112.So the 30% mark up would mean you would pay $112.Saving $48.

Take the 160 dollar,and have the 40% to work with. Taking this would be $64. So 160-64 is $96. They will spend $96 on the phone in-store

Purchase online- $112

Purchase in-store-$96

The better deal is in-store

Answer:

(A) $208   (B) 224   (C) the online one. it cost less

Step-by-step explanation:

(A) find 30% of $160 and add it to 160. put that answer in dollars.

(B) find 40% of $160 and add it to 160. put that answer in dollars.

(C) it is the one that costs less

Please Help ASAP!! ❤️ ​

Answers

Answer:

Step-by-step explanation:

*a is 6:55

*b is 37

*c is 15:12

what is 3/5 divide 1/3

Answers

Answer:

1 4/5

Step-by-step explanation:

Answer: 1.8


Explanation: i used the calculator

Totally blanking on how medians work

Answers

Answer: FC = 16

===============================================

The three medians of this triangle are:

PFREQD

These segments go from one vertex to the midpoint of the opposite side.

The median we'll focus on is PF.

The point C is the centroid of the triangle. It's where the three medians intersect. It turns out that C divides PF such that CF is twice as long as PC

In other words,

CF = 2*PC

This means,

PF = PC+CF .... segment addition postulate

PF = PC+2*PC ... replace CF with 2*PC

PF = 3*PC .... combine like terms

So the median PF is three times the length of its portion PC

We're told that PF = 24

We can then find the following:

PF = 3*PC

24 = 3*PC

3*PC = 24

PC = 24/3

PC = 8

Then we double this to get the length of CF

CF = 2*PC

CF = 2*8

CF = 16

This is the same as FC because the order of the endpoints don't matter when it comes to naming a segment.

The final answer is 16.

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