Use the table and a calculator to help you find a solution to 0.1 • 2 x = , rounded to the nearest whole number.

x 0.1 • 2 x
1 0.2 4
2 0.4 2
3 0.8 1.33
4 1.6 1
5 3.2 0.8
A solution to this equation to the nearest whole number is x = .

Does this equation have any other solutions?

Answers

Answer 1

The solution of the equation is approximately x = 4 and there are no other solutions

How to determine the solution of the equation?

The equation is given as

0.1(2^x) = 4/x

Also, we have the table of values as one of the given parameters

Next, we check the table of values

From the table of values, we can see that:

The value of x is between x = 3 and x = 4

This is so because the values of the expressions 0.1(2^x) and 4/x are closest at these values

However, the value of x is closer to 4 than 3

This means that

x = 4 (approximately)

Hence, the solution of the equation is approximately x = 4 and there are no other solutions

Read more about equations at

https://brainly.com/question/2972832

#SPJ1


Related Questions

Question 3
1 pts
Use the diagram to answer the question. Find the measure of the
arc in degrees, type in a number only.

Answers

180° hope it's correct and really helps....!!!!

Emily recently started a part time job. She is saving for a car, which she will need when she attends college next year. She plans to deposit $400 at the end of each month into an account that 3.6% per year, compounded monthly . How much will Emily have saved at the end of six months? pays​

Answers

Answer:

  $2418.07

Step-by-step explanation:

Problems involving the time-value of money are conveniently solved using a TVM app on a suitable calculator or spreadsheet. The result of doing that is shown in the attachment.

__

If you would like to compute the value of Emily's account by hand, the annuity formula is the one you want.

  A = Pn((1 +r/n)^(nt) -1)/r . . . . where r is the annual interest rate, n is the number of times per year it is compounded (12), t is the number of years (1/2), and P is the periodic payment into the acccount (400).

Using the given values in the formula, we have ...

  A = 400(12)((1 +0.036/12)^(12/2) -1)/0.036 = 4800×(1.003^6 -1)/0.036

  A ≈ 2418.07

At the end of 6 months, Emily will have saved $2418.07.

M log_5(8) rewrite to log _?(?)

Answers

Answer:

[tex]\log_5 8^{M}[/tex]

Step-by-step explanation:

[tex]\text{We know that,}~ b\log_a c = \log_a c^b[/tex]

What is the inverse of f(x)=3-x/7

Answers

Answer:

I got f^-1 (x) = -7x + 21

Step-by-step explanation:

Determine the shaded area.
9 ft
(
The shaded area is
(Round to two decimal places as needed.)

Answers

Shaded area = area of square - area of a circle.

[tex] \\ \\ [/tex]

For this we have to find area of both square and circle which is visible in the picture.

[tex] \\ [/tex]

Part one :

In this part we'll find area of circle.

Given :

radius = 9ft

To find :

Area of circle

Solution:

We know :

[tex] \boxed{ \rm Area \: of \: circle =\pi {r}^{2} }[/tex]

Steps :

[tex] \dashrightarrow\sf Area \: of \: circle =\pi {r}^{2}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow\sf Area \: of \: circle = \dfrac{22}{7} \times {9}^{2} [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow\sf Area \: of \: circle = \dfrac{22}{7} \times 9 \times 9[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow\sf Area \: of \: circle = \dfrac{22}{7} \times 81[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow\sf Area \: of \: circle = \dfrac{22\times 81}{7}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow\sf Area \: of \: circle = \dfrac{1782}{7}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow\bf Area \: of \: circle =254.57 \: ft {}^{2} \\ [/tex]

[tex] \\ [/tex]

Part 2

As it's visible diameter of circle = side of square.

So we have to find diameter of circle.

We know :-

[tex] \boxed{ \rm Diameter \: of \: circle =2 \: radius}[/tex]

[tex] \\ [/tex]

Steps:-

[tex] \dashrightarrow\sf Diameter \: of \: circle =2 \: radius \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow\sf Diameter \: of \: circle =2 \times 9\\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow\bf Diameter \: of \: circle =18 \: ft[/tex]

We have :

side of square = 18 ft

To find:

Area of square

Solution:

We know :

[tex] \boxed{ \rm Area \: of \: square= {side}^{2} }[/tex]

Steps :

[tex] \dashrightarrow\sf Area \: of \: square= {side}^{2}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow\sf Area \: of \: square= {18}^{2}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow\sf Area \: of \: square= {18} \times 18[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow\bf Area \: of \: square= 324 \: {ft}^{2} [/tex]

Part three:

Remember the first line of answer ? :)

So let's insert here:-

[tex] \boxed{ \text{Shaded area = area of square - area of a circle}}[/tex]

Steps :-

[tex] \dashrightarrow\textsf{Shaded area = area of square - area of a circle} \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow\textsf{Shaded area = 324 - 254.57} \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow\textbf{Shaded area = 69.43 }\bf {ft}^{2} \\ [/tex]

y=x^2-6x+7 write equation in vertex form

Answers

Answer:

y=(x−3)2−2

Step-by-step explanation:

The vertex form of a quadratic function isy=x^2-6x+7 , where x, y, are constants. of the parabola is at (x, y).

Can someone help me please?

Answers

the answer is 12/15. 4/5 4x3= 12 and 5x3= 15

A men's department store sells 14 different suit jackets, 6 different shirts, 10 different ties, and
8 different pairs of pants. How many different suits consisting of a jacket, shirt, tie, and pants are
possible? *

Answers

Answer:

The total number of different suits consisting of a jacket, shirt, tie, and pants are possible is 576 ways and this can be determined by using the given data.

Given :

A men's department store sells 3 different suit jackets, 6 different shirts, 8 different ties, and 4 different pairs of pants.

The following steps can be used in order to determine the total number of different suits consisting of a jacket, shirt, tie, and pants are possible:

Step 1 - The arithmetic operations can be used in order to determine the total number of different suits consisting of a jacket, shirt, tie, and pants are possible.

Step 2 - According to the given data, the total number of shirts is 6, ties is 8, suit jackets is 3, and pants is 4.

Step 3 - So, the total number of different suits consisting of a jacket, shirt, tie, and pants are possible is:

= 576 ways

Step-by-step explanation:

A grocery store sells a bag of 6 oranges for $3.24. How much does one orange cost

Answers

3.24 divided by 6
The answer is 54 cents per orange

Please help me with this math problem

Answers

Answer:

P1:40% P2:47500 P3:10%

Step-by-step explanation:

2/5 = 0.4 =40%

5/8= .625

.625 x 76000 =

47500

Solving Trig. Equations

Answers

In each solution, n is an arbitrary integer.

1. Nothing fancy, just take the inverse tangent.

tan(x) = -5

x = arctan(-5) + nπ

x = -arctan(5) + nπ

2. Recall the identity cos(2x) = 2 cos²(x) - 1, then factorize:

cos(2x) - 3 cos(x) + 2 = 0

(2 cos²(x) - 1) - 3 cos(x) + 2 = 0

2 cos²(x) - 3 cos(x) + 1 = 0

(2 cos(x) - 1) (cos(x) - 1) = 0

2 cos(x) - 1 = 0   or   cos(x) - 1 = 0

cos(x) = 1/2   or   cos(x) = 1

[x = arccos(1/2) + 2nπ   or   x = -arccos(1/2) + 2nπ]

…   or   x = arccos(1) + 2nπ

x = π/3 + 2nπ   or   x = -π/3 + 2nπ   or   x = 2nπ

3. By definition, csc(x) = 1/sin(x) :

csc(2x) + √2 = 0

csc(2x) = -√2

1/sin(2x) = -√2

sin(2x) = -1/√2

2x = arcsin(-1/√2) + 2nπ   or   2x = π - arcsin(-1/√2) + 2nπ

2x = -π/4 + 2nπ   or   2x = 5π/4 + 2nπ

x = -π/8 + nπ   or   x = 5π/8 + nπ

4. More factorization:

2 sin²(x) - sin(x) = 0

sin(x) (2 sin(x) - 1) = 0

sin(x) = 0   or   2 sin(x) - 1 = 0

sin(x) = 0   or   sin(x) = 1/2

x = arcsin(0) + 2nπ

…   or   [x = arcsin(1/2) + 2nπ   or   x = π - arcsin(1/2) + 2nπ]

x = 2nπ   or   x = π/6 + 2nπ   or   x = 5π/6 + 2nπ

5. Yet more factorization. Also recall that |cos(x)| ≤ 1 for all x.

4 cos²(x) - 8 cos(x) + 3 = 0

(2 cos(x) - 3) (2 cos(x) - 1) = 0

2 cos(x) - 3 = 0   or   2 cos(x) - 1 = 0

cos(x) = 3/2   or   cos(x) = 1/2

The first case gives no solution since 3/2 > 1.

x = arccos(1/2) + 2nπ   or   x = -arccos(1/2) + 2nπ

x = π/3 + 2nπ   or   x = -π/3 + 2nπ

6. Recall the identity sin(a - b) = sin(a) cos(b) - cos(a) sin(b).

sin(2x) cos(x) - cos(2x) sin(x) = -√3/2

sin(2x - x) = -√3/2

sin(x) = -√3/2

x = arcsin(-√3/2) + 2nπ   or   x = π - arcsin(-√3/2) + 2nπ

x = -π/3 + 2nπ   or   x = 4π/3 + 2nπ

Determine the longest distance inside a rectangular prism with dimensions of 8 ft x 3 ft by 9 ft

Answers

Answer:

8*3*9 = 216 sq. ft³.

Step-by-step explanation:

This is like volume!

Equation:

8 * 3 * 9

Solve:

8 * 3 * 9= 24 * 9= 216

Simplify:

8 * 3 * 9= (8 * 3) * 9= 24 * 9= 216.

Answer is 216 sq. ft³.

PLEASE HURRY DUE TODAY
3. Leo designs a stand for the new statue on display at the local library. The stand is in the shape of a right trapezoidal prism. The base of the prism has an area of 4 ft^2 and the prism stands 2.4 feet high. As Leo paints the stand, he calculates the surface area of the stand to be 32 ft^2. (a) Leo is asked to purchase roping that will be used to close off the area around the statue. He purchases a length that is five times the perimeter of the stand in roping. How much roping does he purchase? (b) Leo plans to add gold leaf to the sides of the stand but not to the two bases. What percent of the area of the stand will have gold leaf? Round your answer to the nearest whole number​

Answers

Answer A: 45 5/16

B: The present of the area as 83%

Step-by-step explanation:

(a)

35= 3+3+3.2x+3.2x+3.2x+3.2x

35= 6 + 12.8

29/12.8 +12.8x/12.8

X=2.265625 = 2/12/64

1x = 2 17/64 * 4 + 9 1/16

P = 45 5/16

(b)

The present of the area as 83%

35 – the bases or 6 = 29

29/35 + 0.82857142857

0.82857142857 * 100 = 82.8571428571

Rounded to the nearest whole number is 83%

Find the circumcenter of the triangle with vertices at A(2,4),
B(8, 4), and C(6, 10).

Answers

i believe the answer is (5, 6.333)

What is the image point of (3,8)(3,8) after a translation right 4 units and up 1 unit?

Answers

the answer is gonna be (7,9)

Answer:

The point [tex](3,8)[/tex] will transform into [tex](7,9)[/tex]

Step-by-step explanation:

When you move the unit right, you make the number larger. right and left deal with the X value. you add 4 to 3, and you get 7. Now you move 1 point up, which is just 8+1, which is 9. You get your answer, [tex](7,9)[/tex].

Hope This Helps! :)

How much greater is 16x² + 7x + 5 than-18x² - 13x + 8?​

Answers

Answer:

34x² + 20x - 3

Step-by-step explanation:

Given

1st Polynomial : 16x² + 7x + 52nd Polynomial : -18x² - 13x + 8

We need to subtract the 2nd polynomial from the 1st.

16x² + 7x + 5 - [-18x² - 13x + 8]16x² + 7x + 5 + 18x² + 13x - 834x² + 20x - 3

A sample of students is taken from the school's A honor roll. The school estimates that there are 360 students on the A honor roll. Using this sample how many students on the A honor roll are 8th graders. There are 14 8th graders on the A honor roll.

Answers

Answer:

Number of 7th grade = 360 - X

Step-by-step explanation:

As you can see this question is not complete and lacks the essential data. But we will try to create a mathematical expression to calculate the number of students on the A honor roll which are from &th grade. As we know: Total number of students on the A honor roll = 360 We are asked to calculate, number of students from 7th grade on the A honor roll. So, let's assume that "X" represents the all the students who are on the A honor roll except 7th grade. Mathematical Expression: Number of 7th Graders = Total number of students on the A honor roll - X Number of 7th Graders = 360 - X So, if you know the value of X, you can easily calculate the number of students which are from 7th grade on the A honor roll.

Answer:

There are 126 8th grade A honor roll students.

Step-by-step explanation:

Since there are 14 8th grade A honor roll students out of 40 A honor roll students. That means that the fraction is 14/40. After that we do 14/40x360 which results in 126.


Help please I have a d in this class

Answers

Answer:

2. Elana's Family. Elana's Family.

3. 8 minutes 4 seconds

4. Elena's family will have driven 2.76 miles while Andre's family will have driven which is farther.

Step-by-step explanation:

A b c d or e what one will give brainlest

Answers

D! i’m not fully sure but it looks more reasonable

Directions: Match each image of a ray with the correct way to write it.

Answers

Answer:

1 + G = Push in p To Much P

Step-by-step explanation:

g= gunnaaa 1+gunnaaa = push  ing P


Dr. Weinstein took 50 ounces of a 20% silver
alloy and mixed it with a 40% silver alloy to get
a 30% silver alloy. How many ounces of the 40%
silver alloy did he use?

Answers

Answer:

I think it is 100

Answer:

Step-by-step explanation:

The answer is 50 ounces

Because 30% silver is right in between 20% silver and 40% silver, it would have to be the same amount to be 30%

Which of the following numbers must be added to complete the square in the equation below? x^2 +16x=5 27
O A. 64
O B. 25
O C. 16
O D. 8​

Answers

Answer:

A) 64

Step-by-step explanation:

16/2=8

8^2= 64

x^2 +16x +64= 69

(x +8)^2= 69

Help please!!!!! Asap!!!

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{3}[/tex] =1.73205 In between 1 and 2 closer to 2

[tex]\sqrt{8}[/tex]=2.82842  In between 2 and 3 closer to 3

[tex]\sqrt{23}[/tex]=4.7958  In between 4 and 5 closer to 5

PLEASE HELP ME ON THIS

Answers

Answer:

About 154 Square

Explanation:

To find an area of a circle you multiply pi by the radius squared so 7² = 49 and 49 x 3.14 = 153.86 which is the closest to 154.

Jason opened the triangular pyramid-shaped box to cover it with wrapping paper. How much wrapping paper will he need?

Answers

Answer:

How might the situation lead to bullying?

Step-by-step explanation:

How might the situation lead to bullying?

the answer B

what's the estimate of 6.48 + 9.34 and what's the estimate 15.71 + 12.2

Answers

Answer:

Your Estimated Equations and Answers: 6+9= 15 ; 16+12 = 28

Step-by-step explanation:

Estimating can be equivalent to rounding. This is because you're trying to find an approximate number or sum.

6.48 + 9.34 is your first question.

You should round it to the nearest whole number.

6.48 ~ 6 and 9.34 ~ 9

*Rounding rules applied here*

(~ this sign is the approximate or rounded to symbol)

Now, do 6+9 =

6+9= 15

______________________________________________

15.71 + 12.2 is your next question.


Same as last, round to the nearest whole number.

15.71 ~ 16 and 12.2 ~ 12

Now, do 16+12

16+12 = 28

When you multiply a whole number by 10 to the 5th power , will there always be the same number of
zeros before the decimal point as in your answer to Part A? Explain your reasoning.
Answer:

Answers

Answer:

Step-by-step explanation:

a whole number can be ANY counting number

10 to the 5th power =  × 10 × 10 × 10 × 10 × 10

when you multiply by any positive power of ten, you are making it really big

23 × 10 × 10 × 10 × 10 × 10 = 2,300,000

30 × 10 × 10 × 10 × 10 × 10 = 3,000,000

100 × 10 × 10 × 10 × 10 × 10 = 10,000,000

the pattern is the whole number followed by 5 zeros that show 5 place values

6=sqrt x^2+3-x
steps included please

Answers

Answer:

-3/2

Step-by-step explanation:

6=|x|+3-x

move the terms

-|x|+x=3-6

-|x|+x=-3

-x+x=-3 , x > 0 (put a line under >)

-(-x)+x=-3 , x < 0

-3/2 , x < 0 find the intersection

x= -3/2

if you dont want it as a fraction you can do -1.5 in decimal form

Five members of a mystery-book club each read a 1,296-page book. Nine members of a fantasy-book club each read a 398-page book. How many more pages did the mystery-book club read than the fantasy-book club? Select all the correct equations or set of equations that could be used to solve the problem.

Answers

Answer:

2898

Step-by-step explanation:

number of people * number of pages in each book they read =total

mystery bookclub:

5 * 1,296 = 6480

fantasy bookclub:

9 * 398 = 3582

mystery - fantasy = difference in books between the two groups

6480 - 3582 = 2898

possible equation:

(1296 x 5) - (398 x 9) = x

x = answer

Answer:

Step-by-step explanation:

hey i got a couple (10) calculus questions in my profile and im pretty desperate right now

can u pls help

Solve: (x + 4)2 – 4 = 16
O x= - 4+2V5
O
O x= – 4 + 20
O x= 4 + V20
O x= +4

Answers

Answer:

[tex] {x} = - 4 \pm \: 2\sqrt{5} [/tex]

Step-by-step explanation:

[tex] {(x + 4)}^{2} - 4 = 16 \\ \\ \implies \: {(x + 4)}^{2} = 16 + 4 \\ \\ \implies \: {(x + 4)}^{2} = 20 \\ \\ \implies \: {(x + 4)} = \pm \: \sqrt{20} \\ \\ \implies \: {x + 4} = \pm \: 2\sqrt{5} \\ \\ \implies \: {x} = - 4 \pm \: 2\sqrt{5} [/tex]

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