What is the number −37,860,000 written in scientific notation?

Select one:
A. -3786 x 104
B. -0.3786 x 108
C. -37.86 x 106
D. -3.786 x 107

Answer:

teenagers who watch TV =2

teenagers wearing glasses =5

hence probability =2/5=0.4

now you prove how ur answer is 0.5

Answer:

It's been a while since I've done stuff like that but I think the y intercept is the flat fee and the slope is the amount added.

Answer:

Ich habe keine Ahnung, aber danke für die Punkte!

Step-by-step explanation:

Answer:

h = A/b

Step-by-step explanation:

A = bh      Divide b from both sides of the equation

A/b = bh/b     On the right side, the b in the numberator and denominator cancel out.

h = A/b

Answer:

3y

Step-by-step explanation:

A term is a mathematical expression, in this case a number multiplied by a variable.

Like terms would mean anything that is equal to 3x.

Because 3 is a constant number, any like terms have to have the number 3 in it, so we can eliminate 5x, -2x, 7y, and x because they don't have a 3.

y is a variable which is a stand-in for an unknown number, and it can be switched out with any one variable. That means the only possible answer is 3y

Answer:

It can help by solving out 12x50 because it is easier to solve without a calculator

Step-by-step explanation

Answer:

12x50=600

12x49=588

600-12=588!

Step-by-step explanation:

Do the following rewrites:

sin(x) = sin(4x - 3x) = sin(4x) cos(3x) - cos(4x) sin(3x)

sin(7x) = sin(4x + 3x) = sin(4x) cos(3x) + cos(4x) sin(3x)

sin(3x) = sin(4x - x) = sin(4x) cos(x) - cos(4x) sin(x)

sin(5x) = sin(4x + x) = sin(4x) cos(x) + cos(4x) sin(x)

cos(x) = cos(4x - 3x) = cos(4x) cos(3x) + sin(4x) sin(3x)

cos(7x) = cos(4x + 3x) = cos(4x) cos(3x) - sin(4x) sin(3x)

cos(3x) = cos(4x - x) = cos(4x) cos(x) + sin(4x) sin(x)

cos(5x) = cos(4x + x) = cos(4x) cos(x) - sin(4x) sin(x)

So in the numerator, we have

sin(x) + sin(3x) + sin(5x) + sin(7x)

= 2 sin(4x) cos(3x) + 2 sin(4x) cos(x)

= 2 sin(4x) (cos(3x) + cos(x))

In the denominator,

cos(x) + cos(3x) + cos(5x) + cos(7x)

= 2 cos(4x) cos(3x) + 2 cos(4x) cos(x)

= 2 cos(4x) (cos(3x) + cos(x))

So we have

(sin(x) + sin(3x) + sin(5x) + sin(7x)) / (cos(x) + cos(3x) + cos(5x) + cos(7x))

= (2 sin(4x) (cos(3x) + cos(x))) / (2 cos(4x) (cos(3x) + cos(x)))

= sin(4x) / cos(4x)

= tan(4x)

QED

Answer:x=0,5

Step-by-step explanation:

6x -1/2=1

6x-1=1.2

6x-1=2

6x=2+1

6x=3

x=3/6

x=0,5

Answer:

The answer is -2 and 2.

Step-by-step explanation:

You have to solve the modulus :

[tex] | - 2x| = 4 [/tex]

[tex] - 2x = ±4[/tex]

[tex] - 2x = 4[/tex]

[tex]x = - 2[/tex]

[tex] - 2x = - 4[/tex]

[tex]x = 2[/tex]

Answer:

the answer is -2/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Combined, it is option C.  {x | x < -4 or x > 4}

Answer:

by solving it's angle it's easy

Answer:

3.90625 quarts per minute.

Step-by-step explanation:

we want to convert from ounces to quarts

and also from seconds to minutes

1 ounces is equal to 0.03125qtz

2 ounces will be x

cross multiply

x=0.0625 quarts

i minutes is equal to 60 sec

x minute is equal to 1 sec

cross multiply

x= 1/60

x=0.016 minute

rate of flow in quarts per minute.

=0.0625/0.016

=3.90625 quarts per minute.

Answer:

a

  [tex]P(X = 2) =  0.2547[/tex]  

b

  [tex]P(X > 2) =  0.5623 [/tex]  

c

   [tex]P(2 \le X  \le 5 ) = 0.7817 [/tex]

Step-by-step explanation:

From the question we are told that

   The  proportion of US adults who say that they are likely to make purchase during a sale tax holiday is  

         [tex]p = 0.28[/tex]

  The  sample size is  n  =  10  

Generally the distribution of US adults who say that they are likely to make purchase during a sale tax holiday, follows a binomial distribution  

i.e  

         [tex]X  \~ \ \ \  B(n , p)[/tex]

and the probability distribution function for binomial  distribution is  

      [tex]P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}[/tex]

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

Generally the probability number of adult is exactly 2 is mathematically represented as

     [tex]P(X = 2) =  ^{10}C_2 *  (0.28)^2 *  (1- 0.28)^{10-2}[/tex]  

=>  [tex]P(X = 2) =  45 *  0.0784 * 0.0722[/tex]  

=>  [tex]P(X = 2) =  0.2547[/tex]  

Generally the probability number of adult is more than 2 is mathematically represented as

    [tex]P(X > 2) =  1- [P(X \le  2) ][/tex]  

    [tex]P(X > 2) =  1- [[P(X = 0)] +[P(X = 1) ] + [P(X = 2)] ][/tex]  

=>  [tex]P(X > 2) =  1- [^{10}C_0 *  (0.28)^0 *  (1- 0.28)^{10-0}] +[^{10}C_1 *  (0.28)^1 *  (1- 0.28)^{10-1}] + [^{10}C_2 *  0.28^2 *  (1- 0.28)^{10-2}] ][/tex]  

=>  [tex]P(X > 2) =  1- [0.0374 + 0.1456 + 0.2547 [/tex]  

=>  [tex]P(X > 2) =  0.5623 [/tex]  

Generally the probability number of adult is between two and​ five, inclusive is mathematically represented as

    [tex]P(2 \le X  \le 5 ) =  [P(X = 2 ) + P(X = 3 ) +P(X = 4) + P(X= 5 )] [/tex]

=>  [tex]P(2 \le X  \le 5 ) =  [[^{10}C_32 *  0.28^2 *  (1- 0.28)^{10-2}] + [^{10}C_3*  0.28^3 *  (1- 0.28)^{10-3}] +[^{10}C_4 *  0.28^4 *  (1- 0.82)^{10-4}] + [^{10}C_5 *  0.28^5 *  (1- 0.28)^{10-5}]] [/tex]

=>  [tex]P(2 \le X  \le 5 ) =  [[0.2547] + [120*  0.02195 *  0.1003] +[210 *  0.00615 *  0.1393] + [252 *  0.0017 *  0.1935]] [/tex]

=>  [tex]P(2 \le X  \le 5 ) =  [[0.2547] + [0.2642] +[0.1799] + [0.0829] [/tex]

=>  [tex]P(2 \le X  \le 5 ) = 0.7817 [/tex]

Answer:Yes

Step-by-step explanation:

Carmela:3/4/3=1/4 per mile

Hari:1/2/2=1/4 per mile

Answer:

y = 5

x = 10

Step-by-step explanation:

-4(2y) + 11y

-8y + 11y = 15

3y = 15

/ 3 /3

y = 5

x = 10

Answer:

1, 2, 3, 6, 9, 18. Factors of 21: 1, 3, 7. The highest number that both sets contain is 3, so the GCF will be 3.

Step-by-step explanation:

Answer:

4/95

Step-by-step explanation:

convert -4.75 into the fraction 19/4 and  -0.2 into -2/10 then multiply across and simplify

Answer:

8 chocolate cookies

Step-by-step explanation:

2+3 = 5

20/5=4

4x2

8

Answer:

Pls See the photo

Step-by-step explanation:

Hope u like it

Answer:

His son is 10 and his father is 30.

Step-by-step explanation:

Let the age of his son be x and his father's age be 3x.

5(x-5) = 3x-5

5x-25 = 3x-5

5x-3x = 25-5

2x = 20

x = 10

3x = 10 × 3

    = 30

Given :

As a plane takes off it ascends at a 20 degree angle of elevation.

If the plane has been travelling at an average rate of 290 ft/s and continues to ascend at the same angle.

To Find :

How high is the plane after 10 seconds.

Solution :

Distance travelled by plane, D = 2900 ft.

Angle of elevation, Ф = 20°.

Height gained is given by :

[tex]H = Dsin\ \phi[/tex]

H = 2900 × sin 20°

H = 991.86 ft.

Therefore, height of plane after 10 seconds is 991.86 ft.

Hence, this is the required solution.

Answer:

107°

73°

Step-by-step explanation:

Let the two supplementary angles be x° and y°.

x + y = 180....(1)

Since, supplementary angles differ by 34.

Therefore,

x - y = 34....(2)

Adding equations (1) & (2)

x + y = 180

x - y = 34

_________

2x = 214

x = 214/2

x = 107°

Plug x = 107 in equation (1)

107 + y = 180

y = 180- 107

y = 73°

Answer:

The equation to solve the problem is

306 = 249 + x

x = 306 - 249

Hence:

57 students went outside

Step-by-step explanation:

Let the number of students outside be represented by x

Hence:

Number of students in the cafeteria = Number of students inside - Number of students who went outside

We are told:

There were 306 students in the cafeteria. After some went outside, there were 249 students left in the cafeteria.

The equation to solve the problem is given as:

306 = 249 + x

x = 306 - 249

Hence:

x = 57

57 students went outside

Answer:

90°

45°

45°

90°

Step-by-step explanation:

this is a square all the sides and angles are equal .

all angles being 90°.

and all diagonals of a square are also 90°

Answer:

72.13

Step-by-step explanation:

72.13

4|288.52

28

08

8

Step-by-step explanation:

it will take them 104 hours.

Answer:

The equivalent equation solved for x is x = (y-b)/m

Step-by-step explanation:

Here is the complete question:

The slope-intercept form of a linear equation is y = mx + b, where x and y are coordinates of an ordered pair, m is the slope of the line, and b is where the line crosses the y-axis.

Which is an equivalent equation solved for x?

x = y-bmx = y-b over m

x= my + b

m=y−bxm is equal to the fraction with numerator y minus b and denominator x

x=y−bm

Step-by-step explanation:

To determine the equivalent equation solved for x, we will make x the subject of the formula.

From the given equation,

y = mx + b

To make x the subject of the equation,

First, add -b to both sides of the equation, so that we get

y +(-b) = mx +b +(-b)

Then, we will get

y-b = mx +b -b

y-b = mx

Finally, to make x the subject of the equation, we will divide both sides by the coefficient of x ( that is, m)

(y-b) / m = mx / m

Then,

(y-b)/m = x

∴ x = (y-b)/m

Hence, the equivalent equation solved for x is x = (y-b)/m.

The first option is correct

x = (y-b)/m = y-b over m

Answer:

Reflection. Hope this helps you :)

Answer:

Up to 10

Step-by-step explanation:

Inequality:

Answer: 267,306

Step-by-step explanation: