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Answer:

Step-by-step explanation:

First find the natural log of 4200:  It is 8.343.

Then 4200 = e^8.343

Answer:

D. 11/9

Step-by-step explanation:

Which of the following fractions is the largest?

A. 5/81

B. 75/81

C. 10/9

D. 11/9

To make things easier, convert the fractions to decimals:

A. 5/81 = 0.062

B. 75/81 = 0.93

C. 10/9 = 1.11

D. 11/9 = 1.22

As we can see, 11/9 or 1.22, is the largest of all the values.

Hope this helps!

To make the denominators of the given fractions equivalent, we need to determine the LCM of the denominators. Clearly, the denominators of the set of fractions are 81, 81, 9, and 9 respectively.

LCM = 81 (81 × 1 = 81 and 9 × 9 = 81)

Multiply the denominators such that the denominator is equivalent to 81. Keep in mind that if we are multiplying a number (x), the numerator must be multiplied by the same number (x) .

   ⇒ 5/81, 75/81, 10/9, 11/9

   ⇒ (5 × 1)/(81 × 1), (75 × 1)/(81 × 1), (10 × 9)/(9 × 9), (11 × 9)/(9 × 9)

   ⇒ (5)/(81), (75)/(81), (90)/(81), (99)/(81)

   ⇒ 5/81, 75/81, 90/81, 99/81

Since 99 > 90 > 75 > 5, we can tell that 99/81 is the largest as:

Therefore, 11/9 is the largest fraction in the set.

Answer:

The answer is B. 60°

Step-by-step explanation:

The Unit Circle.

A =  sin^-1 ( [tex]\frac{\sqrt{3} }{2}[/tex]) = 60°

Answer :-

Let the side of the square measure a cm, thus, according to the question,

We know that,

➭ Area ( Square ) = a²

Thus, the area of the square with normal length i.e. a cm, will be,

⤳ Area = a x a

⤳ Area = a²

Now, by taking the new length, the area will become,

⤳Area = 3a x 3a

⤳ Area = 9a²

Now,

We observe that, if we divide these, we get,

➤ 9a²/a²

( a² will get canceled since its common )

Thus, the ratio becomes,

➭ 9 : 1 = Area square with tripled length : Area of square

Thus, the area will increase by 9 times, and not 3.

Hence, Ashley's assumptions are wrong.

Answer:

6%

Step-by-step explanation:

3/20=4/x

It is a indirect proportion so we reciprocal,

Then,

3/20=x/40

3×40=20×x

120=20x

x=120/20

x=6

The required probability for the given case is 0.4779.

The binomial distribution is based on the binomial theorem which can be written as (a + b)ⁿ = ⁿC₀aⁿb⁰ +  ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+  ⁿCₙa₀bⁿ.

In order to use in the probability, there should be events independent of each other and the sum of there probabilities is 1.

Given that,

The total number of students are 20.

And, the probability that a student cheats is 3/20 = 0.15.

The number of students chosen by the teacher is 4.

Thus, the probability that at least one student cheats can be found by binomial distribution as,

P(at least one student cheats) = ⁴C₁(0.15)¹(0.85)³ + ⁴C₂(0.15)²(0.85)² +  ⁴C₃(0.15)³(0.85)¹ + ⁴C₄(0.15)⁴(0.85)⁰

= 4 × 0.15 × 0.6141 + 6 × 0.0225 × 0.7225 + 4 × 0.003375 × 0.85 + 1 × 0.00050625

= 0.4779

Hence, the probability that at least one student selected by the teacher does cheating is 0.4779.

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Answer: 14.5

Step-by-step explanation: (1½ ×3 ) + (2½ ×4)² = 4.5 + 10

Answer:

A

Step-by-step explanation:

8% = .08 in decimal form

10 000 ( 1 + .08)^10 =

Answer: 57m

Step-by-step explanation: Speed is 3m/s

Time is 19seconds

distance =speed × time

Distance = 19 × 3

Answer:

57 m.

Step-by-step explanation:

In 1 second it can run 3 m

So in 19 s it can run 3*19

= 57 m.

Answer:

0.733 repeating

Step-by-step explanation:

use your calculator

Answer:

3.14     (or pi )  feet  

Step-by-step explanation:

Entire circle circumference  = pi *d  = 8 pi    feet

45 degrees is a fraction of the entire 360 degrees of the circle

   45 / 360  *  8 pi = pi =  3.14 ft

Step-by-step explanation:

90 degrees rotation, clockwise

Answer:

OPTION D

Step-by-step explanation:

[tex]3x + \frac{1}{2} y = - 4[/tex]

[tex]6x + y = - 8[/tex]

[tex]y = - 6x - 8[/tex]

I hope it helped you

Answer:

The answer is option B

3/5

Answer:

Pink is the least likely to be chosen because it has the lowest frequency.

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

1) -5(4x-6)-14=-4x+16

-20x+30-14+4x-16=0

-16x=0

x=16

3)4x-8(x-2)=-4x+16

-4x+16=-4x+16

Answer:

27<AB<81

Step-by-step explanation:

The sum of two sides of a triangle have to be than the length of the third side. 27+54 is 81, so the AB has to be less than 81. Now, to find the minimum, I can say 27+x has to be greater than 54, so x has to be greater than 27. Therefore, the answer has to be between 27 and 81, so the 2nd one is correct.

Answer:

B. 27 < AB < 81

Step-by-step explanation:

Nice

Answer:

x = 8

Step-by-step explanation:

24x = 6 x 32

24x = 192

x = 192/24

x = 8

4a.4²x +3=1

Slotuion:

4²x + 3=1 : x= -⅛ (Decimal:x= -0.125)

Steps

4² x +3=1

4²=16

16x + 3=1

Subract 3 from borh sides

16x +3-3=1-3

Simplify

16x=-2

Divides both sides by 16

[tex] \frac{16 \times }{16} =

[tex] \frac{ - 2}{16} [/tex]

[/tex]

Simplitfy

[tex] \frac{16 \times }{16} : x[/tex]

Simplify

[tex] \frac{ - 2}{16}: -⅛ [/tex]

x = -⅛

therefore the answer is x= -⅛

4b.ex-1 -5 =5

x~=3.30258

explanation:

e^(x-1)-5=5

e^(x-1)=10

x-1=ln 10

x-1~=2.30258

x~=3.30258

[tex] \large \pink{ \overbrace{ \underbrace{ \tt{ \color{red}{ \: \: \: \: \: \: \: hope \: it \: help \: you \: \: \: \: \: \: \: \: }}}}}[/tex]

You have writing errors may be

[tex]\\ \rm\Rrightarrow 4x²+3=1[/tex]

[tex]\\ \rm\Rrightarrow 4x²=1-3[/tex]

[tex]\\ \rm\Rrightarrow 4x²=-2[/tex]

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

[tex]\\ \rm\Rrightarrow logx²=-log0.5[/tex]

[tex]\\ \rm\Rrightarrow 2logx=-log0.5[/tex]

[tex]\\ \rm\Rrightarrow logx=0.15[/tex]

[tex]\\ \rm\Rrightarrow x=10^{0.15}[/tex]

[tex]\\ \rm\Rrightarrow x=1.412[/tex]

#2

[tex]\\ \rm\Rrightarrow e^{x-1}-5=5[/tex]

[tex]\\ \rm\Rrightarrow e^{x-1}=10[/tex]

[tex]\\ \rm\Rrightarrow x-1=ln10[/tex]

[tex]\\ \rm\Rrightarrow x-1=2.3[/tex]

[tex]\\ \rm\Rrightarrow x=2.3+1[/tex]

[tex]\\ \rm\Rrightarrow x=3.3[/tex]

Answer:

Step-by-step explanation:

Fraction:

Simplify:

Answer would be 9/36.

By finding and using the scale factor for the model, we conclude that the height of the model is 9.6 inches.

The ratio between the model's width and the real width is the scale factor, and all the dimensions change following that scale factor.

We have:

8 in = 10ft

1 ft = (8/10) in

This means that each feet in the real life, will be represented with (8/10) inches in the model.

Now we know that the real height is 12ft, then the model's height will be:

12* (8/10) in = 9.6 in

So the correct option is B.

If you want to learn more about scale factors, you can read:

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Answer:

9.6

Step-by-step explanation:

took usatest prep got a 100%

Answer: 1/10, 1/7, 2/9, 2/5, 7/11, 1/4, 1/10, 1/7,  1/9, 1/2 , 1/8, 1/12, 0/1, 0/0
1/13, 1/3, 1/4

Step-by-step explanation: i think i know all the answers

Answer:

L×W×B

10×7×6

=420cm of triangular prism

Answer:

26 miles per gallon

Step-by-step explanation:

Divide 416 by 16 to find miles per gallon :)

Using the vertex of the quadratic equation, it is found that the ball reaches it's maximum height after 2.1 seconds.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

In this problem, the equation is given by:

h(t) = -5t² + 21t + 120.

Meaning that the coefficients are a = -5, b = 21, c = 120.

Hence, the time at which the maximum height is reached is given by:

[tex]t_v = -\frac{b}{2a} = -\frac{21}{-10} = 2.1[/tex]

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The 63.5% of the students who do not exercise is the wrong percentage because 70% of the students do not exercise.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Miguel thinks that his data do not support the article's claim because 63.5% of the students who made the honor roll at his school do not exercise.

The percentage of the students who do not exercise will be

[tex]\rm P = \dfrac{112}{160} \times 100\\\\P = 70\%[/tex]

The 63.5% of the students who do not exercise is the wrong percentage because 70% of the students do not exercise.

More about the percentage link is given below.

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Answer:

B

Step-by-step explanation:

because 30÷3=10

Answer:

Your answer is B

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2 times 2 times 2 equals 8

Answer:

d

Step-by-step explanation:

d