given that 10022bse 3 is equal to 155base n find the value of n show all workings

Answers

Answer 1

Step-by-step explanation:

log 3 (10022)

= 8.38561

log n (155)= 8.38561

n^8.38561=155

log 10 (n)= log 10 (155)

lpg 10 (155)= 2.190331698

8.38561 log10 (n)=2.190331698

log10 n = 2.190331698÷8.38561

lo^-1 (0.2612012)

=1.825

n=1.825


Related Questions

The statement "7 is 21 less than 28" is interpreted 7 = 21 - 28.​

Answers

it's interpreted as 28 - 21 = 7

What is the slope of the line that passes through the points (-10, 9) and (−10,18)?

Answers

Answer:

9

Step-by-step explanation:

the equation for the line should be:

y=9x-10

The slope of the line that passes through the point (−10,9) and (10,18) is undefined.

What is the Point-slope form?

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

We need to find the slope of the line that passes through the point (−10,9) and (10,18)

Where x₁ - x coordinate, y₁ - y coordinate, m - slope

Slope: (18 - 9) / ( -10 + 10)

m = 9/0

So, the slope is undefined.

Hence, the slope of the line that passes through the point (−10,9) and (10,18) is undefined.

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Vocabulary


1. Volume: A measure of ________ occupied by a __________-________________ figure.


1. Base: The __________ on which an object _______.


1. Height: The ______ distance from top to bottom, creates a ___-degree angle with the base.


1. Inverse Operation: The ________ of a math operation; the opposite of addition is ________ and the opposite of multiplication is ________.

1. Diameter: A ________ line going from one side of a ______ to the other through the _______.


1. Radius: The distance from the ______ to the ______ of a ______; _____ of the diameter.

Volume of a Cylinder
A ____________ is a _____________________ object with a _________________ base and top.

To find the ____________ of a ______________ we use the following formula:

Answers

Answer:

Step-by-step explanation:

. Volume: A measure of _space  occupied by a _three dimensional _ figure.

1. Base: The surface on which an object stands on.

1. Height: The _vertical distance from top to bottom, creates a _90° degree angle with the base.

1. Inverse Operation: The opposite of a math operation; the opposite of addition is subtraction and the opposite of multiplication is division.

1. Diameter: A straight line going from one side of a point on a circle to the other through the _center.

1. Radius: The distance from the center to the point of a circle;or half of the diameter.

Volume of a Cylinder

A cylinder is a three dimensional object with a circular base and top.

To find the volume of a cylinder we use the following formula:πr²h

What is the slope-intercept equation for this line?

y = [?]x + ( )

Answers

Answer:

y=-x-3

Step-by-step explanation:

Four-sevenths of the people in a room are seated in seven-eighths of the chairs. The rest of the people are standing. If there are 8 empty chairs, how many people are in the room?

Answers

Answer:

147

Step-by-step explanation:

4/7 people in chairs

7/8 of chairs, rest are standing

8 empty chairs

empty chairs = 1/8

full chairs = 8 x 8

7/8 = 64.

4/7 = 64

1/7 = 64 / 4

1/7 = 21

7/7 = 21 x 7

7/7 = 147

There are 147 people in the room.

There are 147 people in the room.

The given is,

Four-sevenths of the people in a room are seated in seven-eighths of the chairs.

The rest of the people are standing.

there are 8 empty chairs, how many people are in the room in a room are seated in seven-eighths of the chairs.

The rest of the people are standing.

We have to determine there are 8 empty chairs, how many people are in the room.

Four-sevenths of the people.

What is the standard form of the Four-sevenths?

4/7 people in chairs.

7/8 of the chairs, rest are standing

The 8 empty chairs,

The empty chairs = 1/8

The full chairs = 8 x 8

7/8 = 64.

4/7 = 64

1/7 = 64 / 4

1/7 = 21

7/7 = 21 x 7

7/7 = 147

There are 147 people in the room.

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Use the net to determine the total surface area.

Question options:


A. 48 cm2



B. 132 cm2



C. 84 cm2



D. 120 cm2

Answers

I believe it might be 64 :D sorry if I’m wrong!

Find the value of x. Assume that segments that appear to be tangent are tangent. Round to the nearest tenth.

Answers

Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{24+x}\\ a=\stackrel{adjacent}{24}\\ b=\stackrel{opposite}{32}\\ \end{cases}\implies (24+x)^2~~ = ~~24^2+32^2 \\\\\\ (24+x)(24+x)~~ = ~~24^2+32^2\implies \stackrel{F~O~I~L}{24^2+48x+x^2}~~ = ~~24^2+32^2 \\\\\\ 48x+x^2=32^2\implies x^2+48x-32^2=0\implies x^2+48x-1024=0 \\\\\\ (x-16)(x+64)=0\implies x= \begin{cases} 16~~\textit{\Large \checkmark}\\\\ -64 \end{cases}[/tex]

notice, we didn't use -64, since the value of "x" must be a positive value.

a right triangle with a long leg (x+7) and a short leg with (x) and the hypothenuse is 13

Answers

Answer:

Area is 30cm^2 if thats what your asking

Step-by-step explanation:

Answer:

X = 5

Step-by-step explanation:

You need to use the Pythagorean theory to solve this question.

[tex] {13}^{2} = {x}^{2} + {(x + 7)}^{2} [/tex]

[tex]169 = {x}^{2} + ( {x}^{2} + 14x + 49)[/tex]

[tex]169 = 2 {x}^{2} + 14x + 49[/tex]

[tex]0 = 2 {x}^{2} + 14x + 49 - 169[/tex]

[tex]0 = 2 {x}^{2} + 14x - 120[/tex]

Now simply the equation by dividing everything by 2.

[tex]0 = {x}^{2} + 7x - 60[/tex]

[tex]0 = (x - 5)(x + 12)[/tex]

Now, you can find the possible solutions by setting each bracket to 0.

[tex]0 = x - 5[/tex]

[tex]5 = x[/tex]

OR

[tex]0 = x + 12[/tex]

[tex] - 12 = x[/tex]

However, a measurement on a triangle cannot be negative. Therefore, we can ignore -12 and say that the answer is x = 5.

The area of the polygon shown in the figure is _______.

Answers

The answer is 72 Reasoning being that the problem is A length times width situation so 8x9=72

Bob swam a total of 250 meters on Monday and Tuesday. On Tuesday, the numbers of meters he swam was 30 less than 3 times the amount he swam on Monday. How many meters did Bob swim on Monday?

Answers

Answer:

Bob swam 70 meters on Monday

Step-by-step explanation:

Let x = Meters swam on Monday

and y = Meters swam on Tuesday

x + y = 250

y = 250 - x

y = 3x - 30

250 - x = 3x - 30

4x = 280

x = 70

y = 180

Determine if the expression 5r^4 - 4r^4 s^5 is a polynomial or not. If it is a polynomial,
state the type and degree of the polynomial.

Answers

Answer:

Step-by-step explanation:

It is a polynomial. A polynomial must have the following properties (among others).

the power must be an whole number.It cannot have a minus power.It can have more than one variable.

Degree: So for this example the degree is 4 + 5 = 9. Derived from 4r^4 s^5

There is one isolated - sign with 2 terms on either side of the minus sign.

Type: It is a binomial

i really need actual help on this asap

Answers

Bisect the given line
On the bisector place a point F
Join F to both D and E to form the triangle

What is the equation of the line in slope-intercept form -8 and 8 ?

Answers

Answer:

y = x - 8

Step-by-step explanation:

y = x - 8

Check your answer using (0, -8):

y = x - 8

-8 = 0 - 8

-8 = -8

This statement is true

Also, view the attached graph.

Hope this helps!

help and walk me thru pleasee

Answers

Answer:

Your answer is 63

Step-by-step explanation:

First lets find the area of the rectangle:

To find the area of a rectangle your multiply the length by the width.  In this case it is 5 and 9 so..

5 x 9 = 45

Now to find the area of the triangle:

Formula for triangle: 1/2(bh)

9 is your height to find the base subtract 5 from 9:

9 - 5 = 4

Now divide that by 2:

4 / 2 = 2

2 is your base

Now we know the base and height solve:

1/2(2 x 9)

1/2(18)

18 / 2 = 9

multiply 9 by 2

9 x 2 = 18

Now add your areas to find the final area:

45 + 18 = 63

How do I use the intermediate value theorem to prove every polynomial of odd degree has at least one real root?

Answers

Answer:

Step-by-step explanation:

Phoebe rounded a number to the nearest tenth and got 6.5. When she rounded it to the nearest whole number, she got 7. Which number could be the number she rounded?

Answers

Answer:

6.7

please give brainliest

Can yall help me with the answers?

Answers

Answer:

Number 3 is B

Step-by-step explanation:

B is number 3

Answer:

Lakaka 1 by Lakaka 1 vx wfs

Simplify.
3t-t•t•t+3(-2t)+t
A. -1- 24
B. 1-24
C. -51
D. -70

Answers

Answer:

3t - t.t.t +3(-2t) + t

3t - t³ - 6t + t

3t - 6t + t - t³

-2t - t³

Option A is correct

A bead is formed by drilling a cylindrical hole of 2mm diameter through a sphere with an 8mm diameter. Estimate the volume of the bead to the nearest whole?

Answers

Volume of the bead = Volume of the sphere - volume of the cylindrical hole = 242.95 mm³.

What is the Volume of a Sphere and a Cylinder?Volume of a sphere = 4/3πr³Volume of a cylinder = πr²h

Volume of the bead = Volume of the sphere - volume of the cylindrical hole

= 4/3π(4³) - π(1²)(8)

= 268.08 - 25.13

Volume of the bead = 242.95 mm³

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A circular sinkhole has opened near an intersection. The four corners of the intersection are occupied by a grocery store, a dollar store, a gas station, and a restaurant, and each corner contains part of the sink hole. The grocery stores property has 2/3 of the angle in the intersection at the dollar store has, but has 5° more of the sinkhole edge to stabilize. The gas station has the same angle on the intersection at the dollar store and 88° more edge To stabilize. What is the measure of the arc of the sinkhole that falls within the restaurants property?

Answers

The measure of the arc of the sinkhole that falls within the restaurants property is -21°

Measure of angles subtended

Let x be the angle at the dollar store at the intersection

Now the angle of the grocery store at the intersection, y is 2/3 that of the dollar store. So, y = 2x/3

Since both x and y are supplementary,

x + y = 180°

x + 2x/3 = 180°

5x/3 = 180°

x = 180° × 3/5

x = 36° × 3

x = 108°

Angle subtended by gas station at sinkhole

The gas station has the same angle at the intersection but has 88° more of the sinkhole edge to stabilize. So, the angle the gas station store subtends at the sinkhole is z = x + 88°

Angle subtended by grocery store at sinkhole

Also, since the grocery stores property has 2/3 of the angle in the intersection at the dollar store has, but has 5° more of the sinkhole edge to stabilize. The angle the grocery store subtends at the sinkhole is k = y + 5° = 2x/3 + 5°

Measure of arc subtented by restuarant

Let k' be the angle subtended by the restuarant at the sinkhole.

Since the sinkhole is a circle, we have that

x + z + k + k' = 360°

x + x + 88° + 2x/3 + 5° + k' = 360°

8x/3 + 93° + k' = 360°

8x/3 + k' = 360° - 93°

8x/3 + k' = 267°

So, making k' subject of the formula, we have

k' = 267° - 8x/3

Substituting the values of the variables into the equation, we have

k' = 267° -  8 × 108°/3

k' = 267° - 288°

k' = -21°

So, the measure of the arc of the sinkhole that falls within the restaurants property is -21°

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Select the correct answer.
Which of the equations below represents a line perpendicular to the x-axis?
OA
I = 3
OB.
= = 3y
Зу
Ос.
1 = Y
=
OD
r = -3y

Answers

Answer:

0D r equals -3y

hope ts helpful

The answer to this math question is?

Answers

Answer:

58 seconds

Step-by-step explanation:

Very very easy, no formulas or +,- required here.

You can see that the swim times go till 44 on the line, that is the lowest, that means the FASTEST swim time. But we need the slowest swim time. That we can find by finding where does the line end in the right side. We can see it ends between 56 and 60, and if we calculate, then we can find out that the bar in the middle represents 58, so hence, her slowest timing for her swim time is 58 seconds.

So hence, your answer is 58 seconds!

-------------------------------------------------------------------------------------------------------------

If you see someone without a smile, give them one of yours!

Thanks!

~MiniMeteorologist~

Have a great day!

:D

The length of the base of an isosceles triangle is x. The length of a leg is 3x−6. The perimeter of the triangle is 65. Find x.

Answers

Answer:

x = 11

Step-by-step explanation:

Hello!

In an isosceles triangle, the two legs are congruent by the property Base angle Theorem. It is isosceles when both angles on the base are congruent.

So, since the base is x, and the measure of one leg is 3x - 6, we know that the other leg is also 3x - 6 in length.

The equation for perimeter is :  leg + leg + base = Perimeter

We can plug in 65 for the perimeter because it's given

Solve for x:

x + 3x - 6 + 3x - 6 = 657x - 12 = 657x = 77x = 11

The value of x is 11.

suppose that a movie rental company supervid charges a $30 subscription fee and $1.5 per movie. lets say that another company megawatch charges $100 subscription fee but only $0.90 per show. what are the cost functions for each company's subscription plan.​

Answers

Answer:

the first on is y=30+1.5x and megawatch is y=100+0.90x

Step-by-step explanation:  

42. A triangle has an area of 14 square inches. The height of the triangle is three inches more than the
base. What are the base and height of the triangle?
43. Jill has a small treasure box that is 6 inches long. It can hold a volume of 72 inches cubed, and the
width of the box is 5 inches less than twice the height of the box. What are the dimensions of the box?
44. Jessie is mowing her back yard that is in the shape of a right triangle. The shortest side is 7 meters
shorter than the second side, and the hypotenuse is 13 meters long. What are the lengths of the two
sides?

Answers

Answer:

Question 42

area of a triangle = 1/2 × base × height

Given:

area = 14 in²height = x + 3base = x

Substituting given values into the formula:

⇒ 14 = 1/2 × x × (x + 3)

⇒ 28 = (x + 3)x

⇒ 28 = x² + 3x

⇒ x² + 3x - 28 = 0

⇒ (x - 4)(x + 7) = 0

⇒ x = 4, x = -7

As length is positive, x = 4 only.

height = 4 + 3 = 7 in

base = 4 in

-----------------------------------------------------------------------------------------

Question 43

volume of a cuboid = length x width x height

Given:

volume = 72 in³length = 6 inheight = xwidth = 2x - 5

Substituting given values into the formula:

⇒ 72 = 6 × (2x - 5) × x

⇒ 12 = (2x - 5)x

⇒ 12 = 2x² - 5x

⇒ 2x² - 5x - 12 = 0

⇒ (x - 4)(2x + 3) = 0

⇒ x = 4, x = -1.5

As length is positive, x = 4 only.

height = 4 in

width = 2(4) - 5 = 3 in

-----------------------------------------------------------------------------------------

Question 44

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

a = x - 7b = xc = 13 m

Substituting given values into the formula:

⇒ (x - 7)² + x² = 13²

⇒ x² - 14x + 49 + x² = 169

⇒ 2x² - 14x - 120 = 0

⇒ x² - 7x - 60 = 0

⇒ (x - 12)(x + 5) = 0

⇒ x = 12, x = -5

As length is positive, x = 12 only.

⇒ one leg = 12 m

⇒ other leg = 12 - 7 = 5 m

Teddy has two sisters. One of them is 3 years older than Teddy, the other one is 7 years younger than her only brother. How old was the older sisters when the younger sister was born

Answers

Lets let Teddy be x.

Sister 1: x+3

Sister 2: x-7

If we subtract the younger sister (sister 2) from the older sister (sister 1), we get:

x+3 - (x-7) = x+3 - x + 7 = 10

The older sister was 10 years old when the younger sister was born.

Aidan earned a total of $117 in one week. His babysitting job pays him $15 per hour. His after-school job at a barber shop pays him $9 per hour. He worked a total of 9 hours that week. The system of linear equations represents this situation, where x represents the number of hours Aidan spent babysitting and y represents the number hours he worked at the barber shop.

x + y = 9

15x + 9y = 117

How many hours did Aidan work at each job?

Answers

The hours worked at the babysitting job is 6 hours.

The hours worked at the barber shop is 3 hours.

What are the hours worked at the babysitting job?

Given the two linear equations:

x + y = 9 equation 1

15x + 9y = 117 equation 2

Multiply equation 1 by 9

9x + 9y = 81 equation 3

Subtract equation 3 from 1

36 = 6x

x = 6

What are the hours worked at the barber shop?

Substitute for x in equation 1

6 + y = 9

y = 9 - 6

y = 3 hours

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Mr. Bartley is taking the theater club on a field trip to see the musical wicked. The school treasurer asked mr. Bartley for the groups total ticket cost. He wrote the following cost function for the school treasurer: total cost = 52(25+2)
Which of the following statements could describe the cost function? Select all that apply
Tickets cost $52 each, and there are 25 students and 2 teachers going n trip
Tickets cost $25 and each person must pay $2 for the bus. There are 52 people going

Answers

Mr. Bartley expression of the ticket cost function is an illustration of equations

The true statement is (a) Tickets cost $52 each, and there are 25 students and 2 teachers going n trip

How to determine the true statement?

The equation of the total cost is given as:

Total Cost = 52 * (25 + 2)

The above can be rewritten generally as:

Total Cost = Cost per each * (Student + Teachers)

By comparison, we have:

Cost per each = $52

Students = 25

Teachers = 2

Hence, the true statement is (a) Tickets cost $52 each, and there are 25 students and 2 teachers going n trip

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BCD and EFG are shown below. Which of the following statements is true? Look at picture.

Answers

Answer:

  (b)  ∠EGF ≅ ∠BDC

Step-by-step explanation:

Angles D and G are both marked with double arcs, indicating they are congruent:

  ∠EGF ≅ ∠BDC

__

Other choices:

BD is the short segment between the marked angles. It has no "decoration." EF is the longer segment with a single hash mark decoration. These are not corresponding parts, so are not congruent. There is no right angle in these triangles, so the Pythagorean theorem is not applicable.

__

CD is the longest side, with no decoration. EF is the middle-length side with a single hash mark decoration. These are not corresponding sides.

Answer:

I don't know I'm sorry soo just try to work it out if u don't know how than ask someone you know okay, ur welcome.

A linear function has a y-intercept of 10 and a slope of . What is the equation of the line?

Answers

You forgot to include your slope but it should just follow the form y= mx+ b. where m is your slope and b is your y-intercept.

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