Notes for proportional relationships can you give me notes to write down lol

Answer:

(24m-8)-(3m+1)

24m-8-3m-1 (expanding)

24m-3m-8-1 (collect like terms.)

21m-9 (simplified form)

Answer:

PE = 51.45 Joules

Step-by-step explanation:

PE = mgh

= (7.0 kg)(9.8m/s^2)(0.75 m)

= 51.45 Joules

Given:

The figure of circle E. [tex]m\angle ABD=(11x-3)^\circ,m\angle ACD=(8x+15)^\circ[/tex].

To find:

The measure of arc AD.

Solution:

We know that the inscribed angles on the same arc are congruent and their measures are equal.

[tex]\angle ABD[/tex] and [tex]\angle ACD[/tex] are inscribed angles on the same arc AD. So,

[tex]m\angle ABD=m\angle ACD[/tex]

[tex]11x-3=8x+15[/tex]

[tex]11x-8x=3+15[/tex]

[tex]3x=18[/tex]

[tex]x=6[/tex]

Now,

[tex]m\angle ABD=(11x-3)^\circ[/tex]

[tex]m\angle ABD=(11(6)-3)^\circ[/tex]

[tex]m\angle ABD=(66-3)^\circ[/tex]

[tex]m\angle ABD=63^\circ[/tex]

We know that the intercepted arc is always twice of the inscribed angle.

[tex]m(Arc(AD))=2\times m\angle ABD[/tex]

[tex]m(Arc(AD))=2\times 63^\circ[/tex]

[tex]m(Arc(AD))=126^\circ[/tex]

Therefore, the measure of arc AD is 126 degrees.

First a few reminders:

• For a ≠ 0 and b ≥ 0, [tex]\sqrt[a]{b}=b^{\frac1a}[/tex]

• 4 = 2² and 8 = 2³

• For real numbers a, b, c, we have [tex](a^b)^c=a^{bc}[/tex]

• For any real numbers a and n (so long as both are not zero), we have [tex]\frac1{a^n}=a^{-n}[/tex]

• For any numbers a, b, c, [tex]a^b\times a^c=a^{b+c}[/tex]

So we have

[tex]\sqrt2=2^{\frac12}[/tex]

[tex]\dfrac1{\sqrt2}=2^{-\frac12}[/tex]

[tex]\dfrac1{\sqrt8}=\dfrac1{(2^3)^{\frac12}}=2^{-\frac32}[/tex]

Then the given expression can be rewritten as

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2\times2^{\frac12}-3\times2^{-\frac12}+2^2\times2^{-\frac32}[/tex]

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2^{1+\frac12}-3\times2^{-\frac12}+2^{2-\frac32}[/tex]

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2^{\frac32}-3\times2^{-\frac12}+2^{\frac12}[/tex]

Pull out a factor of [tex]2^{-\frac12}[/tex]:

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2^{-\frac12}\left(2^{\frac32+\frac12}-3+2^{\frac12+\frac12}\right)[/tex]

Simplify this:

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2^{-\frac12}\left(2^2-3+2^1\right)=2^{-\frac12}(4-3+2)=3\times2^{-\frac12}=\dfrac3{\sqrt2}[/tex]

Rationalize this last result to get the square root out of the denominator:

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=\dfrac3{\sqrt2}\times\dfrac{\sqrt2}{\sqrt2}=\dfrac{3\sqrt2}{(\sqrt2)^2}=\boxed{\dfrac{3\sqrt2}2}[/tex]

Answer:

[tex]X=26[/tex]

Step-by-step explanation:

From the question we are told that:

Co_ordinates of rectangle:

[tex]A(4, 7),\\ B(4, 15),\\C(9, 15),\\D(9,7).[/tex]  

Generally the equation for rectangular Perimeter X is is mathematically given by

[tex]X=2(length+breath)\\X=2L+2B[/tex]

Generally the Length of the rectangle is mathematically given by

[tex]L=(y\ axis\ co-ordinate\ of\ C)-(y\ axis\ co-ordinate\ of\ D)\\or\\L=(y\ axis\ co-ordinate\ of\ B)-(y\ axis\ co-ordinate\ of\ A)[/tex]

Therefore

[tex]L=15-7\\L=8[/tex]

Generally the Breath of the rectangle is mathematically given by

[tex]B=(x\ axis\ co-ordinate\ of\ D)-(x\ axis\ co-ordinate\ of\ A)\\or\\B=(y\ axis\ co-ordinate\ of\ C)-(y\ axis\ co-ordinate\ of\ B)[/tex]

Therefore

[tex]B=9-4\\B=5[/tex]

Generally the rectangular Perimeter X is is mathematically given by

[tex]X=2(8)+2(5[/tex]

[tex]X=26[/tex]

Answer:

Solution given:

A(a,b) lie in 6x-y =1

substituting value of A in equation ,we get

6a-b=1...................(1)

B(b,a) lie in 2x - 5y = 5

substituting value of B in equation ,we get

2b-5a=5

b=5(a+1)/2............(2)

substituting value of b in equation 1 ,we get

6a-5(a+1)/2=1

12a-5a-5=2

7a=2+5

a=[tex] \frac{7}{7} [/tex]=1

substituting value of a in equation 1 ,we get

6×1-b=1

6-1=b

b=5

so points are A(1,5) and B(5,1)

we have

equation of line having two points

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1) [/tex]

[tex](y - 5) = \frac{1-5}{5-1} (x - 1) [/tex]

[tex](y - 5) = -1 (x - 1) [/tex]

y-5=1-x

x+y=6 is a required equation of line AB.

Answer:

30%

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

P(9) = 1/4

P(9) % = 100/4 = 25%

Answer:

1) The function is decreasing exponentially at a rate of 15% every decade.

2) The function is increasing exponentially at a rate of 20% every year.

Step-by-step explanation:

1) 1–0.85 = 0.15

0.15 x 100 = 15%

2) 1.2–1 = 0.2

0.2 x 100 = 20%

Answer:

12.

Step-by-step explanation:

Area = base * perpendicular height

= 6 * 2 = 12.

Answer:

12 square units

Step-by-step explanation:

6 x 2 = 12

The ends of the parallelogram are triangles, so you can just multiply the base times height.

Answer:

(9^2) --- Because 9*9 = 81

(9)

you got this one right (2x-8)

X= -8

Answer:

11

Step-by-step explanation:

Answer:

d = 364 feet

Step-by-step explanation:

Given that,

The pressure at depth d is given by :

[tex]P=13+\dfrac{8}{13}d[/tex]

Pressure under water is found to be 237 pounds per square foot

Now, put P = 237 to find d. So,

[tex]237=13+\dfrac{8}{13}d\\\\237-13=13+\dfrac{8}{13}d-13\\\\224=\dfrac{8}{13}d\\\\d=\dfrac{224\times 13}{8}\\\\d=364\ ft[/tex]

So, the depth is equal to 364 feet.

Answer:

mbcnnb.hhhhjsjsjsnwjwnnwnwnenenebebeneme dcecvejsksmemebeccehsnsnsne evvenekeiekekenbegegevebbehehenebebbebebendhfhhcjcmc d d ecevegjskdkdklxbxbcbfdvvdvdhejrklnssfbmjffbb c

Step-by-step explanation:

nbsnsmsmlslakwj

For Kim, start at  50  and add  75  for each day after the first day.

For Kate, start at  35  and add  75  for each day after the first day.

Part B

How much will each have earned after 4 days? Drag numbers to complete the sentence. Numbers may be used once, more than once, or not at all.

Kim will have earned $ 275  and Kate will have earned  260  after 4 days.

Answer:

99

Step-by-step explanation:

i have all the steps in the comments of ur question

Answer:

um, I checked the questions you asked and we have the same questions, I think we might be in the same school lol

There are 4.9 x 10³ times greater is the mass of a gold atom than the mass of a helium-4 atom.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The mass of a gold atom is 3.29 x 10⁻²² grams.

And, The mass of a helium-4 atom is, 6.65 x 10⁻²⁴ grams.

Hence, The amount of greater is the mass of a gold atom than the mass of a helium-4 atom is,

⇒ 3.29 x 10⁻²² /  6.65 x 10⁻²⁴

⇒ 0.49 x 10²

⇒ 4.9 x 10³

Thus, There are 4.9 x 10³ times greater is the mass of a gold atom than the mass of a helium-4 atom.

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x y

-4 -4/5

-1 -1/5

0 0

3 3/5

6 6/5

Step-by-step explanation:

So fill in the same numbers for x. then multiply them by 1/5 since the function is 1/5 times x.

Answer:

5

Step-by-step explanation:

We can figure out the triangle is 30-60-90. So we use the pythagorean theorem. 13^2 - 12^2 = x^2.     25 = x^2.     square root of 25 is 5.

Answer:

3

0

Step-by-step explanation:

Difference means subtraction

5-2 =3..

7-7=0

Answer:

Yes!

Step-by-step explanation:

Brainly can function as an algebra practice tool, a geometry solver, and a fraction calculator.

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects. A geometer is a mathematician who specialises in geometry.

The three most popular types of geometry are solid geometry (which deals with items like the line, sphere, and polyhedron) and spherical geometry (which deals with objects like the spherical triangle as well as spherical polygon). Plane geometry deals with objects such as the point, line, oval, triangle, and polygon.

Thus, Brainly can function as an algebra practice tool, a geometry solver, and a fraction calculator.

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Answer:

20.16

Step-by-step explanation:

hope it helps!!:)

Answer:

2/24

Step-by-step explanation:

This is because there are chance of getting the other colors.

Answer:

7/40

Step-by-step explanation:

possible outcomes = 10+11+12+7 = 40

favourable outcome = 7

theoretical probability  = favourable outcomes/possible outcomes

therefore, 7/40 is the answer

Answer:

1.014e+6

Step-by-step explanation:

can't explain, I would if I could

Answer:

1,013,760 Feet

Step-by-step explanation:

A mile is equal to 5,280 feet

Give me Brainllest plz

Answer: it should be 9.2%

Step-by-step explanation:

The  percentage of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books will be [tex]9.2\%[/tex] .

Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, [tex]"\%"[/tex] .

Percentage [tex]=\frac{Obtained\ Number}{Total\ Number} *100[/tex]

We have,

Total number of people [tex]=750[/tex]

Number of people in the [tex]41 - 50[/tex] age group [tex]=268[/tex]

Number of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books [tex]=69[/tex]

So,

Percentage of favored the Do-It-Yourself books in the [tex]41 - 50[/tex] age group [tex]=\frac{Do-It-yourself\ 41-50\ age}{Total\ Number\ people} *100[/tex]

[tex]=\frac{69}{750} *100[/tex]

[tex]=9.2\%[/tex]

So,  the percentage of people is  [tex]9.2\%[/tex] .

Hence, we can say that the percentage of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books will be [tex]9.2\%[/tex] .

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