What is the first step in simplifying the solution: log2 ^32 = x
Rewrite the equation as 2^x = 32
Find the square root of 32
Rewrite the equation as 2^32 = x
Find 32^2

Answers

Answer 1

Answer:

x=5

Step-by-step explanation:

log2^32=x

log2^2^5=x

5 log 2^2=x

5(1)=x

x=5


Related Questions

Anyone help with this too?

Answers

Answer:

36

Step-by-step explanation:

I cant be asked

Answer:

the answer is x = ( 5 + r )²

Step-by-step explanation:

I hope this was helpful

If f(x) = 4x - 12, what is f(2)?
O A. -4
O'B. 4
O c. -20
D. 8
Helpppp plzzz

Answers

Answer:

-4

Step-by-step explanation:

f(x) = 4x - 12

Let x=2

f(2) = 4*2 - 12

     = 8-12

    = -4

Change the percent to a decimal equivalent.
9 7/10

Answers

Answer:

0.97

Step-by-step explanation:

97 /100

You can round once from behind to convert 97% to 0.97

9 7/10 equals 9.7

sorry if the answer is wrong

Will name brainliest please help me.

Answers

Answer:

CD = 9

Step-by-step explanation:

ΔADE is similar to ΔBCD

Such that:

AD is similar to CD

BD is similar to ED

AE is similar to BC

Taking the proportion of their sides to find the unknown sides CD

=> [tex]\frac{6}{2} = \frac{CD}{3}[/tex]

Cross Multiplying

=> 2(CD) = 3*6

=> CD = 18/2

=> CD = 9

Evaluate the following:

Answers

Answer:

[tex]3\frac{17}{24}[/tex]

Step-by-step explanation:

[tex]14\frac{1}{6}-10\frac{11}{24}=\\\\\frac{85}{6}-\frac{251}{24}=\\\\\frac{340}{24}-\frac{251}{24}=\\\\\frac{89}{24}=\\\\3\frac{17}{24}[/tex]

14x6= 84/6

84/6 +1/6 = 85/6

10 x 24= 240/24

240/24 +11/24 = 251/24

85x 4 = 340

340-251= 89/24

3 17/24

Mikes mother took 18 minutes to make 2 bowls of salad. How long would it take to make 7 such bowls of salad?

Answers

Answer:

63 minutes or 1 hour 3 minutes

Step-by-step explanation:

We can use ratios to solve

18 minutes    x minutes

--------------- = --------------

2 bowls          7 bowls

Using cross products

18*7 = 2x

Divide by 2

18/2 *7 = x

63 minutes

Answer: 63 minutes or 1 hour and 3 minutes

Step-by-step explanation:

18 minutes is how long it takes to make 2 bowls. To find out how long it takes to make 1 bowl, divide by 2.

18 / 2 = 9

Now multiply that by 7 to find out how long it takes to make 7 bowls.

9 * 7 = 63

63 minutes

Which coordinate pair is a solution of the linear
equation below?
5x – 3y = -21
Click on the correct answer.
(9,-8)
(-9,-8)
(-9,8)

Answers

Answer:

5x - 3y = -21

5x - 3y

= 5(-9) - 3(-8)

= -45 + 24

= -21

the answer is (-9,-8)

(-9,-8) hope this helped :)

Select the correct shapes.
Select the shapes that are similar to shaoe A​

Answers

Answer:

A , B and C are similar to each other

Step-by-step explanation:

Please give me branlest

A, B, & C are all similar

which equation is represented by the graph below

Answers

Answer:

C). y = ln x + 4

Step-by-step explanation:

First off, we can cancel out the [tex]e^{x}[/tex] graphs.

Now looking at the graph, one can see that when x = 1, y = 4.

So for each [tex]ln[/tex] function, plug in 1 for x.

In doing this, one will find that y = ln x + 4 is the only [tex]ln[/tex] graph that produces 4 when x = 1.

Neil is making colorful friendship bracelets for 6 of his friends. He has all of the colors of
thread he plans to use except for green. If every bracelet uses 22 inches of each color of
thread, how many feet of green thread should Neil buy from the craft store?

Answers

Answer:

11 feet

(or 132 inches)

Step-by-step explanation:

Since there are 6 bracelets to make, we can multiply 22 and 6 to get 132.

The correct unit / format to answer this is in feet and all we have right now is the amount of inches we must convert.

132 inches converted into feet can be found by dividing by the amount of inches there are in a 1 foot.

Since there are 12 inches in a foot, we can divide 132 by 12 to get 11.

The equation of line CD is y = −2x − 2. What is the equation of a line parallel to line CD in slope-intercept form that contains point (4, 5)?

y = −2x + 13
y = negative one halfx + 7
y = negative one halfx + 3
y = −2x − 3

Answers

Answer:

y = −2x + 13

Step-by-step explanation:

equation of line slope intercept form is y = mx +c

where m is slope and c is y intercept

when two lines are parallel then their slope are equal.

_______________________________________

Given line

CD

y = −2x − 2

it is in form of y = mx +c

thus, m = -2

Given that other line parallel to CD  y = −2x − 2

Thus, its slope will be -2.

Let the equation of required line be

y = mx +c (as slope will be -2)

Then equation of line will be

y = -2x +c

Given that this line contains (4,5) it will satisfy the equation y = -2x+c

using x = 4 and y = 5

we have

y = -2x +c

5 = -2*4 + c

=> 5 = -8 + c

=> c = 5+8 = 13

Thus, equation of line parallel to  y = −2x − 2 and containing point(4,5) is

y = −2x + 13

Answer:

A. y = −2x + 13

Step-by-step explanation:

It costs $38 for 2 people to go to the movie theater, 40% of the money was for snacks What was the cost of each movie ticket?

Answers

Answer:

$11.40

Step-by-step explanation:

$38 for 2 people to go to the movie theater.

38/2=19

$19 for each person to go to the movie theater.

40% of the money is for snacks, the movie ticket must be 60% of the money.

19×60%

19×60/100=11.4

The cost of each movie ticket is $11.40

Answer:

$11.4

Step-by-step explanation:

Total Cost = $38

Snacks:

=> [tex]\frac{40}{100}* 38[/tex]

=> $15.2

Left for 2 tickets:

=> $38-$15.2

=> $22.8

For 1 ticket:

=> $22.8/2

=> $11.4


If a person can complete a job in 8 hours and his/her friend needs 6 hours to do the same job, what portion of the job would the tow of them complete by working together
for two hours?

Answers

Both of them can complete 7/12 of the job in  2 hours.

What is rate?

Rate is the mathematical term use to show how one quantity varies with a standard quantity.

Analysis:

If He can do the job in 8 hours, then he can do 1/8 of the job in 1 hour

If his friend can do the same job in 6 hours, then he can do 1/6 of that job in 1 hour.

So both of them would do the same job combine in 1 hour = 1/8 + 1/6

LCM of 6 and 8 is 24 so that 3/24 + 4/24 = 7/24

In 2 hours they would complete = 7/24 x 2 = 7/12

In conclusion, both of them can do 7/12 of that job in  2 hours.

Learn more about rate: brainly.com/question/24304697

#SPJ1

A new television set was recently purchased for the common room in a Residence Hall for $ 499.20 including tax. If the tax rate is 4 %​, find the price of the television set before taxes. $______​(Type an integer or a decimal rounded to two decimal​ places.)

Answers

Answer: $479.20

Step-by-step explanation:

[tex]499.20*0.04=19.968[/tex]

[tex]round \\[/tex] [tex]19.968[/tex]

= 20

tax= $20

[tex]499.20-20=479.2[/tex]

The price of the TV before tax was $479.20

The answer is 479.20

given
[tex] log(x) = 2 \: and \: log(y) = - 1[/tex]
prove that
[tex]xy - 100y {}^{2} = 9[/tex]

Answers

Step-by-step explanation:

[tex] log(x) = 2 \\ {10}^{2} = x \\ x = 100[/tex]

then for y:

[tex] log( y) = - 1 \\ {10}^{ - 1} = y \\ y = 0.1[/tex]

so:

[tex]xy - 100 {y}^{2} \\ = 100 \times 0.1 - 100 \times {(0.1)}^{2} \\ = 10 - 100 \times 0.01 \\ = 10 - 1 \\ = 9[/tex]

You work for a florist. Normally, it takes you 20 hours to assemble 10 flower arrangements. How long does it take you to assemble one flower arrangement?

Answers

Answer:

2 hours

Step-by-step explanation:

We want to find the unit rate, or time per flower arrangement.

To find the unit rate, divide the number of hours by the number of flower arrangements.

hours/flower arrangements

It takes 20 hours to assemble 10 flower arrangements.

20 hours/ 10 flower arrangements

Divide 20 by 10 (20/10=2)

2 hours/ flower arrangement

It take 2 hours to assemble one flower arrangment.

The table below shows student's preferred European football clubs as indicated in a survey run by
their math teacher. If two students were selected without replacement at random, what is the
probability that the first and second students prefer Juventus?

Answers

Answer:

Option D. 91/4950

Step-by-step explanation:

The following data were obtained from the question:

Barcelona (B) = 23

Real Madrid (R) = 23

Liverpool (L) = 22

Manchester City (M) = 18

Juventus (J) = 14

Total (T) = 100

Next, we shall determine the probability of the first pick i.e probability of Juventus. This is illustrated below:

P(J1) = n(J) /n(T)

P(J1) = 14/100

Now, the picking is done without replacement. The next pick being Juventus will reduce in number and likewise the total number will also reduce i.e

Juventus = 13

Total = 99

Therefore, the probability that the 2nd pick is Juventus is given below:

P(J2) = 13/99

Now, we can obtain the probability that the 1st and 2nd student prefer Juventus as follow:

P(J1 and J2) = P(J1) x P(J2)

P(J1) = 14/100

P(J2) = 13/99

P(J1 and J2) = P(J1) x P(J2)

P(J1 and J2) = 14/100 x 13/99

P(J1 and J2) = 7/50 x 13/99

P(J1 and J2) = 91/4950

Therefore, the probability that the 1st and 2nd student prefer Juventus is 91/4950

Find the exact values of the following, giving your answers as fractions.
a) 2^-3
b) 3^-2
c) 10^-4

Answers

Answer:

a) 1/8

b) 1/9

c) 1/10,000

Step-by-step explanation:

When a number is raised to a negative exponent, that means that the answer will be less than one. The format is:

x^-y = 1/x^y      (i apologize, exponents on here are really messy)

Ok so for a, you get 1/2^3. 2^3 = 8, so your resulting fraction is 1/8

b). 1/3^2. 3^2 = 9, so your resulting fraction is 1/9

c). 1/10^4. 10^4 = 10,000, so your resulting fraction is 1/10,000.

Sorry fractions and exponents don't work well on my computer. Hope this helps!

The cities A, B, and C, in respective order, lie approximately in a straight line. The distance from city A to city B is 100 miles. The distance from city A to city C is 110 miles. Find the distance from city B to city C

Answers

Answer:

10 miles

Step-by-step explanation:

A & B is 100

A & C is 110

the difference is 10, Which should make B & C 10 miles

The distance from city B to city C will be 10 miles.

What are collinear points?

An axis is a term used to describe a line on which points are located, particularly if that line is connected to a triangle or other geometric shape. Since two factors determine a line, two points are transparently collinear. If the points are in a line, then the points are collinear points.

Let A, B, C, and D be the collinear points. Then the condition of the collinear will be

AB + BC = AC

The cities A, B, and C, in respective order, lie approximately in a straight line. The distance from city A to city B is 100 miles. The distance from city A to city C is 110 miles.

The distance from city B to city C will be given as,

AB + BC = AC

100 + BC = 110

BC = 110 - 100

BC = 10 miles

The distance from city B to city C will be 10 miles.

More about the collinear points link is given below.

https://brainly.com/question/1593959

#SPJ2

ASAPPP What is the slope of the line represented by the equation y
3?
-3
4
o
O

Answers

The slope of the line represented by this equation is 4/5.

We know this because this line is in slope-intercept form, y=mx+b, where m represents the slope and b represents the y-intercept. Thus, we can conclude that the slope is 4/5, which means that for every 4 units the line moves up, it also moves 5 units over (because slope is defined as rise/run).

This equation is in slope-intercept form, or

y = mx + b where m is the slope and b is the y-intercept.  The number in the m position in our equation is 4/5, so the slope is 4/5

Hope this helps!

please mark me brainliest!

The distance between points (X7, Yı) and (4, 8) is the square root of (x7 - 8)2 +
(1-4)²

A. True
B. False

Answers

Answer:

B. False

Step-by-step explanation:

Given

[tex]Points: (x_7 - y_i),(4,8)[/tex]

Required

Is the distance between them [tex]\sqrt{(x_7 - 8)^2 + (y_1 - 4)^2}[/tex]

Given that there are two points, the distance between them is calculated using

Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

In this case;

[tex](x_1,y_1)= (x_7 - y_i)\\(x_2,y_2) =(4,8)[/tex]

Substitute these in the given formula

Distance = [tex]\sqrt{(4- x_7)^2 + (8 - y_1)^2}[/tex]

Comparing this with the given formula, both are not the same;

Hence, the formula is false and the correct formula is of the form [tex]\sqrt{(4- x_7)^2 + (8 - y_1)^2}[/tex]

Which of the following statements correctly describes the items shown below? (Zoom on to see)

Answers

Answer:

D

Step-by-step explanation:

HELP AM BEING TIMED!!!!!!!!!!

Answers

Answer: A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

just got it right EDG 2021

What is the volume of the rectangular prism below? (Don't forget to
label your answer!)​

Answers

Answer: 84 3/8 or 84.375 inches cubed

Step-by-step explanation:

4 1/2 * 5 = 22 1/2

22 1/2 * 3 3/4 = 45/2 * 15/4 = 675/8

675/8 = 84 3/8 or 84.375

some steps to construct an angle MNT congruent to angle pqr

Answers

Maintaining the same width of the compass as AB, draw an arc from point X such that it intersects the afternoon drawn from N in a point

George Washington was born on 2-22-1732. He died in 1799 at the age of 67. The month in which he died and the day of the month on which he died are consecutive even integers whose product is 168. When did Washington die? month day year

Answers

Answer:

George Washington died on December 14th, 1799

Numerical with the arrangement: month - day - year

12 - 14 - 1799

Step-by-step explanation:

In the question, we are told that: the month in which he died and the day of the month on which he died are consecutive even integers whose product is 168.

Therefore,

If one positive even integer = Month he died is represented by x

The second consecutive even integer = Day he died = x + 2

Their product =

x ( x + 2) = 168

x² + 2x = 168

x² + 2x - 168 = 0

We factorise

x² + 14x - 12x - 168 = 0

(x² + 14x) - (12x - 168) = 0

x(x + 14) - 12(x + 14) = 0

(x - 12)(x + 14) = 0

x - 12 = 0, x = 12

x + 14 = 0 , x = -14

Our answer cannot be a negative interger, hence x = 12

So the first positive even integer = 12

The second positive even integer = x+2 = 12 + 2 = 14

Therefore, the month he died = n = 12th month = December

The day he died = n + 2 = 14 = 14th day.

Hence, George Washington died on December 14th, 1799

Numerical with the arrangement: month - day - year

12 - 14 - 1799

Which transformations could have occurred to map ABC
to ABC
a rotation and a reflection
a translation and a dilation
a reflection and a dilation
a ditation and a rotation

Answers

A translation and dilation

Answer:

a dilation and a rotation

Step-by-step explanation:

is what I put

A tank is 2m long, 1.4m wide and 1.8m high. find the volume of water in the tank when it is half full.

Answers

Answer:

volume of water in the tank when it its half full

The capacity of the water tank = (5.04) /2 = 2.52 m³

2,520 litres

Step-by-step explanation:

Dimensions of a water tank:

Length (l) = 2.0 m,

wide (w) = 1.4 m,

Depth (h)= 1.8 m,

Volume of the tank (V)

LWH

2.0m × 1.4m × 1.8 m

= 5.04 m³

= 5.04 × 1000 litres

/* 1m³ = 1000 litres */

5,040 litres

Therefore,

The capacity of the water tank = 5.04 m³

5,040 litres

Helpppppppppppppppppppp solve for x

Answers

Answer:

x=35

Step-by-step explanation:

Since a quadrilateral's interior angles add up to 360°, we get this:

360-85-20=360-4x+x

340-85=360-3x

255=360-3x

-105= -3x

Multiply both sides by -1

105=3x

3x=105

Divide both sides by 3

x=35

If you travel 200 miles in 300 minutes. How fast did you travel in MPH...mile per hour?

Answers

Answer: 40 miles per hour

Step-by-step explanation:

first you do 300 divided by 60 to see how many hoiurs there is in 300 min. (5)

then you devide 200 by 5 to get 40 miles per hour

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