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What is the distance between the vertical asymptotes of the two graphs f(x) and g(x)?​

Answer:

16 packs

Step-by-step explanation:

Take the number of children and divide by the number of pens in a pack

125/8

15.625

We need to round up to get the number of packs

16 packs

Answer:

125 pens and 16 packs.

Step-by-step explanation:

Given:

Each child gets 1 pen, so there needs to be 125 pens.

Since there are 8 pens in a pack, there will need to be:

125 / 8 = 15.62

Estimate:

16 packs

There needs to be 16 packs for the 125 children.

Answer:

15,300 ft or 2.9 miles

Step-by-step explanation:

Distance = Rate * Time (but rate and time must be in the same units)

convert hours to minutes

1 hr * 60 min/hr = 60 min

then

D = 255 ft/min * 60 min

D = 15,300 ft

if you want miles, convert ft to miles (5280 ft per mile)

15,300 ft * 1 mi/5280 ft

2.9 mi

[tex]\\ \rm\Rrightarrow (5x+1)(5x-1)[/tex]

[tex]\\ \rm\Rrightarrow (5x)^2-(1)^2[/tex]

[tex]\\ \rm\Rrightarrow 25x^2-1[/tex]

Answer: 25x²-1

i have attached a graph of it if you need it :)

Answer:

It will be -6≤×≤4

Answer:

A

Step-by-step explanation:

since there are 3 corresponding sides shown, the SSS similarity theorem can be utilized.

Please explain in english

Answer:

Đáp án: 180km

Step-by-step explanation:

Giải thích các bước giải:

Gọi quãng đường AB là x (km)

            (x > 0)

Thời gian ô tô đi từ A -> B là x/60 (h)

Thời gian ô tô đi từ B -> A là x/45 (h)

Vì thời gian cả đi và về hết 7h

=> x/60 + x/45 = 7

=> x = 180 (TM)

Vậy quãng đường AB là 180 km

Answer:

12/20 = 60%

Step-by-step explanation:

The probability that the candy Roger selected was NOT a gummy worm;

P(Not a gummy worm) = 0.6

Miniature peanut butter cups = 5

Dark Chocolate bars = 7

Gummy worms = 8

Total number of candy bars = 5 + 7 + 8

Total number of candy bars = 20

Probability is found as; number of possible outcomes/number of events.

P(randomly selected is a gummy worm) = 8/20

P(randomly selected is a gummy worm) = 0.4

Probability that it was not a gummy worm = 0.6

Read more at; https://brainly.com/question/13160116

Answer:

Step-by-step explanation:

We know, for square

[tex](side)^2=(Area)\\=>X^2=8\\[/tex]

∴[tex]X=2\sqrt{2}[/tex] unit

[tex]Now, Side=3X[/tex]

[tex]Then,Area=(3X)^2=(3*2\sqrt{2} )^2=(6\sqrt{2} )^2=72 sq. unit[/tex]

hope you have understood this...

pls mark my answer as the brainliest

The area of square of side 3X is 72 square unit.

The square is a 4 sided figure, each side of the square is equal and make a right angle.

The area of square having sided a unit can be given by a² square unit.

Given that,

Area of square having side X is 8.

Since, formula for area of square having side X is X².

Implies that,

X² = 8

X = 2√2

The area of square having side 3X
side =3 × 2√2

side = 6√2

The area of square = (6√2)²

                                = 36 x 2

                                = 72

The area of square is 72 square unit.

To know more about Square on:

https://brainly.com/question/28776767

#SPJ2

Answer:

So the greatest common factor 85 and 95 is 5.

Step-by-step explanation:

We will now calculate the prime factors of 85 and 95, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85 and 95.

We will first find the prime factorization of 85 and 95. After we will calculate the factors of 85 and 95 and find the biggest common factor number .

Prime factors of 85 are 5, 17. Prime factorization of 85 in exponential form is:

85 = 5^1 × 17^1

Prime factors of 95 are 5, 19. Prime factorization of 95 in exponential form is:

95 = 5^1 × 19^1

List of positive integer factors of 85 that divides 85 without a remainder.

1, 5, 17

We found the factors and prime factorization of 85 and 95. The biggest common factor number is the GCF number.

So the greatest common factor 85 and 95 is 5.

Answer: You can find after i explain how

Step-by-step explanation:

Add the x's together

So the problem is 6x + 1 =

This is a triangle so it = 180

6x + 1 = 180

__________

Subtract 1 from itself so 6x crosses out

Then subract 1 from 180

Which = 179

Now, divide 6 from both sides 6x is crosses out

You are left with x = (the number you got when dividing 179 / 6)

Answer:

32.5

Step-by-step explanation:

25, percentage increased by 30% (percent) of its value = 32.5

Answer:

Hello,

Step-by-step explanation:

Part A:

Yes

Since

y=f(x)

f(0)=4

f(1)=7 : f(1)=f(0)+1*3

f(2)=10= 7+3 : f(2)=f(1)+3 =f(0)+2*3

f(3)=13=10+3: f(3)=f(2)+3=f(0)+3*3

...

f(9)=31=28+3=f(8)+3=f(0)+9*3

f(n)=f(0)+n*3=4+n*3

Part B: y=3x+4

Part C: slope=3 , y-intercept=4

The slope indicate the grow of the plant (how many cm does it grow in function of the height it receives)

y-intercept indicate the original height of the plant.

Answer:

d = p + 85

Step-by-step explanation:

We don't have a lot to go on for this problem. We have two undefined variables.

In order to solve for d, we need to isolate it:

d - 85 = p

Add 85 to both sides

d = p + 85

Answer:

e. is incorrect

sin (x)= f/e

9514 1404 393

Answer:

  7

Step-by-step explanation:

If there is a common ratio, it can be found by finding the ratio of any two adjacent terms:

  42/6 = 7

The common ratio is 7.

Let the adding value be x

ATQ

[tex]\\ \sf\longmapsto \dfrac{2+x}{5+x}=\dfrac{5}{6}[/tex]

[tex]\\ \sf\longmapsto 6(2+x)=5(5+x)[/tex]

[tex]\\ \sf\longmapsto 12+6x=25+5x[/tex]

[tex]\\ \sf\longmapsto 6x-5x=25-12[/tex]

[tex]\\ \sf\longmapsto x=13[/tex]

Answer:

[tex]x=20[/tex]

Step-by-step explanation:

Refer to the diagram below for letter names of points.

Using the theorem provided on the second image, we can conclude that [tex]m\angle AOC=2*m\angle ABC=2*100\textdegree = 200\textdegree[/tex]. Keep in mind that this is the reflex [tex]\angle AOC[/tex].

Because [tex]O \in DC[/tex], we know that [tex]DC[/tex] is a diameter by definition, which makes [tex]m\angle DOC = 180\textdegree[/tex].

Using the Angle Addition Postulate, we can write the following equation:

[tex]m\angle AOD+m\angle DOC=m\angle AOC[/tex]

Substituting the measures of each angle into the equation gives us:

[tex]x\textdegree + 180\textdegree = 200\textdegree[/tex]

Solving the equation for [tex]x[/tex] gives us:

[tex]x\textdegree + 180\textdegree = 200\textdegree[/tex]

[tex]x\textdegree + 180\textdegree - 180\textdegree = 200\textdegree - 180\textdegree[/tex] (Subtract [tex]180\textdegree[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]x\textdegree = 20\textdegree \rightarrow \bf x=20[/tex] (Simplify)

Remember that [tex]x=20[/tex], not [tex]20\textdegree[/tex] because the degree symbol was already given in the original expression. Hope this helps!

Answer:

it would be 48-40=8 so it would be 8 hours of overtime

Answer:

a^2 +4ab+4b^2

Step-by-step explanation:

(a+2b)^2

(a+2b)(a+2b)

FOIL

first: a*a = a^2

outer:  a*2b = 2ab

inner: 2b*a = 2ab

last: 2b*2b = 4b^2

Add them together

a^2 +2ab+2ab+4b^2

Combine like terms

a^2 +4ab+4b^2

Answer:

Solution given:

(a+2b)²

we have

by using formula

(a+b)²=a²+2ab+b²

so

we get

a²+2*a*2b+(2b)²

=a²+4ab+4b²

Answer: [tex]\large \boldsymbol {C) \ AB=\sqrt{41} }[/tex]

Step-by-step explanation:

Answer:

.2

Step-by-step explanation:

There are 5+6+4+7+5+3 = 30 total

Girl who likes burgers = 6

P(Girl who likes burgers) = 6/30 = 1/5 = .2

Answer:

D

Step-by-step explanation:

A. Sin 42=0.669

Cos=52=0.617

B. Sin 90=1

cos 90=0

C. cos30=0.866

sin 70=0.940

D. sin80=0.985

cos 10=0.985

Answer:

p(a) =|2a+2|

p(–9) = | 2 (–9) +2 | = | –18 +2 | = | – 16 | = + 16

I hope I helped you^_^

Answer:

x = 30

Step-by-step explanation:

i hope it help, sorry if its wrong

Answer:

56000 ft

Step-by-step explanation:

4000 steps a day.

7 days in a week.

2 ft per step

so, we calculate how many steps in a week

4000 × 7 = 28000

and then we calculate the distance by saying each of these steps is 2 ft

so,

28000 × 2 = 56000 ft

as a little extra thought :

there are 5280 ft in a mile.

so, the person walks

56000 / 5280 miles = 10.61 miles

in a week.

Answer:

186.98

Step-by-step explanation:

The cost of gas is the cost per miles times the number of miles

1254 * .13

163.02

Subtract this from the amount in the bank account

350-163.02

186.98

Answer:

2.25 km to go

Step-by-step explanation:

In order to get this answer, you have to figure out how many km 10% is, 0.1125. Then multiply that by the remaining 20% because he already finished 80% of the trail. So, 0.1125 x 20 = 2.25.

Hope this helps! :)

Answer:

[tex]\textsf{x=22.5}[/tex]

Step-by-step explanation:

[tex]\textsf{According to intersecting tangent - secant theorem,}[/tex]

[tex]\textsf{x=1/2[(4x+5)-50]}[/tex]

[tex]\textsf{2(x)=4x+5-50}[/tex]

[tex]\textsf{2x=4x-45}[/tex]

[tex]\textsf{2x-4x=-45}[/tex]

[tex]\textsf{-2x=-45}[/tex]

[tex]\textsf{x= -45/-2}[/tex]

[tex]\textsf{x=22.5}[/tex]

[tex]\textsf{OAmalOHopeO}[/tex]

Answer:

12,741.66666

Step-by-step explanation:

12750 - 25/3%

= 12,741.66666