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.

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

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

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.

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]

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

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!

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]

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).

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.

Answer:

80

Step-by-step explanation:

cause I'm right and um a smart person

Answer:

80 cuz u gotta love pemdas

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

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

C

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.

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)

Answer:

quadrant 2

Step-by-step explanation:

(-x , +y)

Would be in quadrant 1.

Since it's a Y axis Reflection

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:

-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.

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.

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

if a =(E) b/c

e is the answer

Answer:

–2x – 4?

Step-by-step explanation:

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

Answer:

its 160

Step-by-step explanation:

-.- no explanation

See attachment for math work and answer.

See attachment for math work and answer.

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.