Problem Solving (M1) About 100,000 people live in a town. The number 100,000 can be written as 10n, where n is a whole number. What is the value of n? How can you prove your answer? Explain your thinking. (Look at your exponent chart. It can help you!!) The value is 6 because there are 6 zeros and you have to count the zeros to get the answer.

Answers

Answer 1

Answer:

n = 5

Step-by-step explanation:

100,000 = 10^n

Take the log of both sides

log 100,000 = log 10^n

log 100,000 = n * log 10

Dividing both sides by log 10

log 100,000 / log 10 = n * log 10 / log 10

n = log 100,000 / log 10

= 5 / 1

n = 5


Related Questions

Add -7d - 3 and 10d - 6. Show all steps.

Answers

Answer:

[tex]3d - 9[/tex]

Step-by-step explanation:

[tex](-7d - 3)+(10d - 6)\\-7d - 3 + 10d - 6\\-7d + 10d -3 - 6\\3d - 9[/tex]

20 POINTS!!!! NUMBER 9 please

Answers

Answer:

Step-by-step explanation:

C

no , it is c because the y-intercept of 4x-3y=24 is -8

On the grid below, which point is located in the quadrant where the x-coordinate is a negative number and the y-coordinate is a positive number?

A coordinate plane is shown. Point A is in quadrant 1, point B is in quadrant 2, point C is in quadrant 3, and point D is in quadrant 4.

A
B
C
D

Answers

Answer:

quadrant 2

Step-by-step explanation:

(-x , +y)

Would be in quadrant 1.

Since it's a Y axis Reflection

A map scale uses 5cm to mean 29 miles.
How many cm on the map represents 87 miles?

Answers

5 : 29 = x : 87
29x = 435
x=15

PLS HELP!!!!!

If a (A) a/b (B) b/a (C) a/c (D) c/a (E) b/c

Answers

if a =(E) b/c

e is the answer


E is the answer hope this helpsss

CAN SOMEONE PLZ HELP ASAP
You can use what you know about coordinates of transformations. You can map figure ABCD onto figure EFGH using two transformations. A rotation faces figure ABCD in the same direction as figure EFGH. Dilation reduces the image.

Answers

Answer:

EFGH

(-1, 1)

(-1, 2)

(2, 2)

(1, 1)

Step-by-step explanation:

if Both rotating in the same way, then EfGH is gonna go the other way. (sorry if its wrong, i'm learning this too)

Determine whether the two lines are parallel, perpendicular, coinciding, or only intersecting.
y = - 3x + 5
9x + 3y = 2

Answers

Answer:

parallel

Step-by-step explanation:

if you convert the second equation it will be y=-3x+2/3, meaning they have the same slope making them parallel

-13 = r/9 + 8

r =


r equals what

Answers

-5=r/9

-45=r

Step-by-step explanation:

you're just trying to get the r alone. so you have to subtract the 8 and multiply the nine. you're just reversing the problem.

Witch expressions is equivalent to 5(9+7)

Answers

Answer:

80

Step-by-step explanation:

cause I'm right and um a smart person

Answer:

80 cuz u gotta love pemdas

Some
One help me with this

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Slope equals rise/run. You find one perfect point  (-2,0) and another along the line (1,2)

You count how many units up (rise) from the first point to the second point, and then you go over (run) to the second point. Your rise over your run is your slope.

Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2x. She makes these two statements: 1. As x increases infinitely, the y-values are continually doubled for each single increase in x. 2. As x decreases infinitely, the y-values are continually halved for each single decrease in x. She concludes that there are no limits within the set of real numbers on the range of this exponential function. Which best explains the accuracy of Geraldine's statements and her conclusion?

Answers

Answer:

"as x increases infinitely, the y-values are continually doubled for each single increase in x".

Step-by-step explanation:

Given the exponential equation f(x) = 2x of which Geraldine is asked to explain the limits on the range, the expression that best explains the accuracy of Geraldine's statements and her conclusion is that "as x increases infinitely, the y-values are continually doubled for each single increase in x".

for example let y = f(x) so thet y = 2x

for every va;ues of x, y will be doubled as shown;

If x = 1

y = 2(1) = 2

If x = 2

y = 2(2) = 4

If x = 3

y = 2(3) = 6

I can be seen that the value of y doubles for all values of x hence making her first statement accurate.

The second statement 'As x decreases infinitely, the y-values are continually halved for each single decrease in x'. is not totally right because the y values may not be halved for some values of x as x increases.

Her conclusion is not also right because there are  limits within the set of real numbers on the range of this exponential function. for every value of x, y will always tend to a real value.

-6x + 3x = -21 solving for variable

Answers

x= 7 is the answer

Combine like terms

-3x=21

Divide both sides by 3

x=7

Answer:

[tex]:\implies \sf -6x + 3x = -21 \\ \\ \\ [/tex]

[tex]:\implies \sf - 3x = -21\\ \\ \\ [/tex]

[tex]:\implies \sf x = \dfrac{-21}{ - 3} \\ \\ \\ [/tex]

[tex]:\implies \sf x = \dfrac{21}{3} \\ \\ \\ [/tex]

[tex]:\implies \underline{ \boxed{ \textsf { \textbf{x = 7}}}} \\ [/tex]

Helppp please. (Picture included)

Answers

Answer:

its 160

Step-by-step explanation:

-.- no explanation

The height should be 160 because that is the vertical line

Ok I have a couple of questions please help on the one you know please!!

Answers

Answer to Roberto's question:

4

Step-by-step explanation:

I'm not sure how to explain this one (my apologies).

Answer to Parallelogram JKLM question:

Q = 110° & ST = 9 ft

Explanation:

When reflecting this, the angle/side lengths remain the same. That means the information is going to be the exact same. All you have to do is figure out what corresponds to what from JKLM to QTSR.

If we reflect a figure across a horizontal reflection line through its center, the figure will just flip sides. Making L = K, M = J, and so on.

Basically, flip the shape upside down for this problem, and look at that and the shape without angles, find the corresponding letter to the angle to get your answer. In this case, Q is that corresponding letter. Meaning your answer for Q = 110°

When it comes to figuring out ST, since the shape is just flipped and all the lines making the parallelogram are equal to each other, the feet remains the same. Meaning ST = 9 ft.

Answer for a triangle with vertices equation:

(-6,7) (2,8) (-4,3)

This one I didn't know how to do but I looked up the problem and this was the answer.

Answer to Hailey's plywood question:

7 inches

Explanation:

This one's a trick question. The size of an object does not change no matter how much you rotate it. Therefore the answer is going to be the same.

Sorry this took so long, hope I helped!

PLEASE HELP ASAP

Salina’s age is one-quarter the age of her aunt. If a represents her aunt’s age, which expression represents Salina’s age?
4a
a minus 4
a + 4
StartFraction a Over 4 EndFraction

Answers

Answer:

a over 4

Step-by-step explanation:

hope this helps you

Answer:

Last answer I think, it was hard to understand the explained choices but I think it's a/4.

also need help with this question

Answers

Answer:

Using PEDMAS, you would have to do the parentheses part first(you would multiply 5 by 4 and 5 by -1.5x.

Step-by-step explanation:

Help pleaseeeee it’s dueeeeee

Answers

Answer:

The change is increased by 80%.

Step-by-step explanation:

Divide 36 by 45. This gives you 0.8. Divide 36 by 0.8 and multiply 45 by 0.8 to check your answer. So, it is increased by 80%. To find out how percents change, divide the first number by the second number. Then, take the decimal and move the decimal point over to the right two spaces, or multiply the entire number by 100.

A model with 1 shaded part and 3 unshaded parts. Write the unit fraction depicted in the model as a percent. One-fourth = ?

Answers

Answer: one-fourth = 25%  because= 1/4*100= 1*25= 25%

Hope it Helped! :3

Answer:

1/4=25%

Step-by-step explanation:

Hope this helps

30 POINTS! HELP ME PLZZ I NEED HELP WITH THIS!!!

Answers

Answer:3/12 is greater

Step-by-step explanation:

Since 3/12 and 2/9 have different denominators, you need to find the Least Common Multiple (LCM) of the denominators and then multiply the top and bottom of each fraction by the number of times the denominator goes into the LCM.

According to my calculations, the LCM of the two denominators is 36. Therefore, since 12 goes into 36 a total of 3 times, you would multiply the top and bottom of the first fraction by 3. And since 9 goes into 36 a total of 4 times, you would multiply the top and bottom of the second fraction by 4.

Step #2: Now that the denominators are the same, you can simply compare the numerators to determine which fraction is greater. Since 9 is greater than 8, 9/36 is greater than 8/36. Therefore the 1st entry (3/12) is greater than the 2nd entry (2/9).

What is true about segment R S and T U, if Point T has coordinates four, negative five. and U has coordinates (9, 2)?

Answers

Answer:

d

Step-by-step explanation:

Find three consecutive odd integers whose sum is -45. Find the largest
integer

Answers

x = the first integer.

x + 2 = the second integer.

x + 4 = the third integer.

x + x + 2 + x + 4 = -45

Combine like terms.

3x + 6 = -45

Subtract 6 from both sides.

3x = -51

Divide both sides by 3

x = -17

x + 2 = -17 + 2 = -15

x + 4 = -17 + 4 = -13

The largest integer is -13

Which expression is equivalent to -3 - 3x - 1 + x

Answers

Maybe -4-2x or -4 + (-2x) they are the same thing

If you combine like terms, the ones with “x” you get -3x + x which is -2x and for the others -3 + -1 is -4

Answer:

–2x – 4?

Step-by-step explanation:

make sure its the one with the question mark. plus i got it right

answer the questions

dont answer if u dont know

Answers

Answer:

3.) 2.5cm

4.) 14mm

5.) 1.75in

6.) 12cm

7.) 4in

8.) 1.6ft

9.) 31.4in

10.) 43.96in

11.) 56.52in

Step-by-step explanation:

3-5 finding the radius is just half of the diameter.

#3

5/2= 2.5

#4

28/2= 14

#5

3.5/2= 1.75

6-8 is finding the diameter. To find the diameter multiply the radius by 2.

#6

6*2= 12

#7

2*2= 4

#8

.8*2= 1.6

9-11 is finding the circumference. To find it use this equation C= 2πr.

C= circumference, 2=2, π= 3.14, r= radius

#9 the diameter is 10in so the radius is 5in

C=2(3.14)5

C=31.4

#10 the radius is 7in

C= 2(3.14)7

C= 43.96

#11 diameter is 18in so the radius is 9in

C=2(3.14)9

C= 56.52

Answer:

I don't know the anwser

Step-by-step explanation:

but the other person does so I'm adding this to get points and so you can make her brainliest

PLZ HELP ME
In 2001, gold was priced at (0.5x + 300) dollars per ounce. Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to 2 3 of the price in 2011.
• Write an expression for the price of gold per ounce in 2016.
• Explain how you found the expression.

Answers

Answer:

[tex]2x + 1200[/tex]

Step-by-step explanation:

[tex].5x + 300 \\ 3(.5x + 300) = 1.5x + 900\\ 2(1.5x + 900) = 3x + 1800 \\ \frac{2}{3} (3x + 1800) = 2x + 1200[/tex]

Each new line represents the change stated in the question.

The total amount of Keira's cell phone bill, b, varies directly with the number of text messages she sends, m. Which of the following equations best models the amount of money Keira must pay for her cell phone bill?

Answers

Pls list the equation options so we can give you an answer

Rewrite each as a rational number
2=
3 1/2 =
.035 =
5.67=

Answers

2/1, 7/2, 7/200, 567/100

Gloria and her friends love the Caramel Macchiato at Black Rock Coffee.

If she pays $19.05 for 4 macchiato’s and she adds a bagel for $1.25, how much is 1 macchiato?

Gloria still wants her macchiato and
bagel but decides to buy another
macchiato for her friend.
How much does she owe?

Answers

See attachment for math work and answer.

What is the value for y in the following expression
when x
14
y = 2x + 5

Answers

See attachment for math work and answer.

Find the distance between the two points if rounded to the nearest tenth (-6,6) and (-3,3)

Answers

Answer:

3[tex]\sqrt{2}[/tex] units

Step-by-step explanation:

Given parameters:

    Coordinates = (-6,6) and (-3,3)

Unknown:

The distance between them = ?

Solution:

To find the distance between two points, we use the expression below;

    D  = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]

    x₁ = -6    x₂ = -3

   y₁ = 6       y₂ = 3

    D = [tex]\sqrt{(-3 -(-6))^{2} + (3-6)^{2} }[/tex]   = [tex]\sqrt{18}[/tex]

    D = 3[tex]\sqrt{2}[/tex] units

What is the domain of the function on the graph?

Answers

the graph starts at (-3,2), and goes to the right of the graph, covering all real numbers greater than or equal to -3, so D is correct
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