Write each number in standard form.

6.7 × 101

Answer:

1) We know that e is an irrational number, so we usually can find it by computational methods.

[tex]e = \lim_{n \to \infty} (1 + \frac{1}{n})^n[/tex]

and we know that e accurate to 10 decimal points is:

e = 2.7182818285

2) Now we want to write the properties of the exponential and logarithmic functions.

We will write first the exponential property, and then the correspondent one for the logarithmic function.

(e^a)*(e^b) = e^(a + b)

The equivalent Ln property is:

Ln(a) + Ln(b) = Ln(a*b)

(e^a)/(e^b) = e^(a - b)

The eqivalent Ln property is:

Ln(a) - Ln(b) = Ln(a/b)

(e^a)^b = e^(a*b)

The equivalent Ln property is:

Ln(a^b) = b*Ln(a)

Answer:

A. {0, 1, 3, 4}

Step-by-step explanation:

For a relation with elements (x, y)

The domain is the set of the x-values, that are the input values.

Here we have the relation:

{(4, -1), (3, 2), (0, -3), (1, 4)}

Here we can see that the inputs are:

4, 3, 0, and 1.

Then the domain is:

{4, 3, 0, 1}

Now let's write this in the correct order:

{0, 1, 3, 4}

The domain of the relation is: {0, 1, 3, 4}

Then the correct option is A.

Answer:

multiply that what my teacher said do

Step-by-step explanation:

Answer:

Here i can explain it

Step-by-step explanation:

mark me as brainliest pls 簿絵時ぇ

Answer:

(2,5)

Step-by-step explanation:

It's the coordinates of the point where the lines cross

Answer:

4=7

Step-by-step explanation:

because you have to look down where the arrows are pointing. I  hope you pass whatever your taking!

Answer:

Step-by-step explanation:

95 850-9 580=86270

R 86 270 is still owed for the car

Hope it helps!

:D

Answer:

yes

Step-by-step explanation:

pythagorean formula: sqrt(8^2+6^2) = 10

Answer:

-2 -8 is -10 because we’re subtracting 8 out of -2

brainliest please

Answer:

-10

Step-by-step explanation:

-2 - 8 = -10

When you subtract a negative, the minus sign becomes a plus sign and the negative number becomes positive.

Hope this helps!

Answer:

197.77

Step-by-step explanation:

Area of circle: A=pi r^2

A= pi 9^2

A= 81 pi

only half of the circle so 40.5

Area of a Square: L x W

18 x 18 = 324

324 - 40.5pi = 197.77

Answer: 0.40

Step-by-step explanation: JUST HURRY AND PUT IT IN BEFORE ITS TOO LATE BESTIE

Answer:

Step-by-step explanation:

Sum of angles of a quadrilateral = 360°

x = 360°-101°-129°-51° = 79°

Answer:

Assuming the shape is a half-circle, there's two right angles.

Step-by-step explanation:

The angle between the straight segment and the half-circle can be measured by taking a tangent line at the intersection point and it will of course be perpendicular to the straight segment, assuming the segment is the diameter of the circle).

Answer: photo

Step-by-step explanation:

Answer:

1150 m

Step-by-step explanation:

Given that,

A dragonfish is swimming at -900 m relative to sea level.

It rises 250 m.

We need to find the dragonfish´s new depth relative to sea level. Let the new position is x. So,

x = 250-(-900)

= 250+900

= 1150 m

Hence, the new position is 1150 m.

Answer:

Step-by-step explanation:

Answer:

1/8 chance

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Ο Α.

A. It is moved up 3 units.

Answer:

90

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

hey there

the angles given are corresponding angles meaning that they are congruent

so we set up an equation

23x-5=21x+5

step 1 subtract each side by 5

5-5 cancels out

-5-5=-10

now we have

23x-10=21x

step 2 subtract each side by 23x

21x-23x=-2x

now we have

-2x=-10

step 3 divide each side by 2

-10/-2=5

so we can conclude that

x=5

Answer:

Step-by-step explanation:

Answer:

X<3

Step-by-step explanation:

  6x−6+6<12+6

6x<18

Step 2: Divide both sides by 6.

6 divded by 6 = 1

18 divided by 6= 3

therefore the answer would be

X<3                  

Answer:

x = 1 or less

Step-by-step explanation:

12 - 6 = 6

6x = 6 or less

Divide each side by 6:

6x/6 = 6 or less/6

x = 1 or less

Answer: $56

Step-by-step explanation:

Let the original price of the jacket be x.

Since Kevin went to a store that offers a 20% discount and bought a jacket and saved $11.20 after using the coupon.

The original price of the jacket goes thus:

20% × x = $11.20

0.2 × x = 11.20

0.2x = 11.20

x = 11.20 / 0.2

x = 56

The original price of the jacket will then be $56

Answer:

C.  -1.7

Step-by-step explanation:

Question

The data in this question will be utilized for the next three questions. The number of pets a group of students has, are given below.

Number of pets:        0-2    2-4   4-6   6-8   8-10   10-12    12-14

Number of students:  1        2      1        5       6         2           3

Calculate

(1) Mean      (2) Sample Variance    (3) Sample Standard Deviation

Answer:

[tex](1)[/tex] [tex]\bar x = 8.1[/tex]

[tex](2)[/tex] [tex]\sigma^2 = 6.341[/tex]

[tex](3)[/tex] [tex]\sigma = 2.518[/tex]

Step-by-step explanation:

Given

The above data

First, we calculate the class midpoint (x)

Pets:  [tex]0-2[/tex]    [tex]2-4[/tex]   [tex]4-6[/tex]   [tex]6-8[/tex]   [tex]8-10[/tex]   [tex]10-12[/tex]    [tex]12-14[/tex]

x           1           3          5       7           9          11          13

f:           1            2         1        5           6         2           3

The class midpoint (x) is calculated by the average of each group.

For pets: 0 - 2.

[tex]x = \frac{0 + 2}{2}= \frac{2}{2} = 1[/tex]

The same is done for other groups.

Solving (a): Mean

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

This gives:

[tex]\bar x = \frac{1 * 1 + 3 * 2 + 5 * 1 + 7 * 5 + 9 * 6 + 11 * 2 + 13 * 3}{1 + 2 + 1 + 5 + 6 + 2 + 3}[/tex]

[tex]\bar x = \frac{162}{20}[/tex]

[tex]\bar x = 8.1[/tex]

Solving (b): Sample Variance

This is calculated as:

[tex]\sigma^2 = \frac{\sum(x_i - \bar x)^2}{\sum f - 1}[/tex]

So:

[tex]\sigma^2 = \frac{(1 - 8.1)^2+(3 - 8.1)^2+(5 - 8.1)^2+(7 - 8.1)^2+(9 - 8.1)^2+(11 - 8.1)^2+(13 - 8.1)^2}{20 - 1}[/tex]

[tex]\sigma^2 = \frac{120.47}{19}[/tex]

[tex]\sigma^2 = 6.341[/tex]

Solving (c): The sample standard deviation

This is calculated as:

[tex]\sigma = \sqrt{\sigma^2[/tex]

[tex]\sigma = \sqrt{6.341[/tex]

[tex]\sigma = 2.518[/tex]

Step-by-step explanation:

Circumference=22π

2πr=22π

r=11 in.

Area=121π in.²

Hope it helps you

Answer:

10

Step-by-step explanation:

Answer:

374 barriles equivalen a 59466 litros de petróleo.

Step-by-step explanation:

La regla de tres simple es una forma de resolver problemas de proporcionalidad entre tres valores conocidos y un valor desconocido, estableciendo una relación de proporcionalidad entre todos ellos. Es decir, lo que se pretende es encontrar el cuarto término de una proporción conociendo los otros tres. Recuerde que la proporcionalidad es una relación o razón constante entre diferentes magnitudes.

Si la relación entre las magnitudes es directa, es decir, cuando una magnitud aumenta, también lo hace la otra (o cuando una magnitud disminuye, también lo hace la otra), se debe aplicar la regla directa de tres. Para resolver una regla directa de tres, se debe aplicar:

a ⇒ b

c ⇒ x

donde a, b y c son valores conocidos, mientras x es el valor que se desea conocer. Entonces: [tex]x=\frac{c*b}{a}[/tex]

En este caso, la regla de tres se aplica de la siguiente manera: si 1 barril de petróleo equivale a 159 litros, 374 barriles a cuántos litros equivale?

1 barril ⇒ 159 litros

374 barriles ⇒ x litros

[tex]cantidad de litros =\frac{374 barriles*159 litros}{1 barril}[/tex]

cantidad de litros= 59466 litros

374 barriles equivalen a 59466 litros de petróleo.

Answer:

sin A = [tex]\frac{15}{17}[/tex]

cos A = [tex]\frac{8}{17}[/tex]

tan A = [tex]1\frac{7}{8}[/tex]

Step-by-step explanation:

sine = [tex]\frac{ooposite}{hypothenuse}[/tex]

sine A = [tex]\frac{15}{17}[/tex]

cosine = [tex]\frac{adjacent}{hypothenuse}[/tex]

cos A = [tex]\frac{8}{17}[/tex]

tan = [tex]\frac{opposite}{adjacent}[/tex]

tan A = [tex]\frac{15}{8} = 1\frac{7}{8}[/tex]