Solve this equation involving decimals:
8.4 + 0.18x = 0.32x

1/3 ln(x) + ln(2) - ln(3) = 3

Recall that [tex]m\log_b(n)=\log_b(n^m)[/tex], so

ln(x ¹ʹ³) + ln(2) - ln(3) = 3

Condense the left side by using sum and difference properties of logarithms:

[tex]\log_b(m)+\log_b(n)=\log_b(mn)[/tex]

[tex]\log_b(m)-\log_b(n)=\log_b\left(\dfrac mn\right)[/tex]

Then

ln(2/3 x ¹ʹ³) = 3

Take the exponential of both sides; that is, write both sides as powers of the constant e. (I'm using exp(x) = e ˣ so I can write it all in one line.)

exp(ln(2/3 x ¹ʹ³)) = exp(3)

Now exp(ln(x)) = x for all x, so this simplifies to

2/3 x ¹ʹ³ = exp(3)

Now solve for x. Multiply both sides by 3/2 :

3/2 × 2/3 x ¹ʹ³ = 3/2 exp(3)

x ¹ʹ³ = 3/2 exp(3)

Raise both sides to the power of 3:

(x ¹ʹ³)³ = (3/2 exp(3))³

x = 3³/2³ exp(3×3)

x = 27/8 exp(9)

which is the same as

x = 27/8 e ⁹

Answer:

15/8

Step-by-step explanation:

Assuming you mean tan theta

Tan(theta) = opposite/adjacent

We know the adjacent side is 8 so the bottom of the fraction must also be 8

C: 15/8 is the only option that fits this criteria

The value of tangent of the angle θ, i.e., tan θ = 15/8.

Hence the correct option is c.

Given is a right triangle, with base = 8 units and the hypotenuse is 17 units,

The angle θ which is between the base and the hypotenuse,

We need to find the value of tangent of the angle θ, i.e., tan θ.

To find the value of tangent (tan) of the angle θ, we can use the definition of tangent in a right triangle.

The tangent of an angle in a right triangle is equal to the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

In this case, the base of the triangle is given as 8 units, and the hypotenuse is given as 17 units.

To find the length of the side opposite θ, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we can calculate the length of the side opposite θ:

(side opposite θ)² + (base)² = (hypotenuse)²

(side opposite θ)² + 8² = 17²

(side opposite θ)² + 64 = 289

(side opposite θ)² = 289 - 64

(side opposite θ)² = 225

side opposite θ = √225

side opposite θ = 15 units

Now that we have the lengths of the side opposite θ and the side adjacent to θ, we can calculate the tangent of the angle θ:

tan θ = (side opposite θ) / (base)

tan θ = 15 / 8

Therefore, the value of tangent (tan) of the angle θ is 15/8.

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W is 90

Full equation

90+ 2x +3x =180

5x = 180-90

5x = 90

X= 90/5

X= 18

T = 3 (18)

T= 54

V=2(18)

=36

Answer:

45 out of 50

Step-by-step explanation:

First, 90/100 x 50 which = 45.

You could also do 5 x 9 which equals 45.

Hope this helps!!

Answer:

good luck

Step-by-step explanation:

the mean is all of them added up then divided by how many numbers there are the median is where you put them in order putting the numbers in order then finding the middlel mode is the most of the same numbers and range is the biggest number

Answer:

mean- 104.83

median- 102

mode- 101

range- 28

Step-by-step explanation:

mean is all numbers added together then divided by however many numbers there are. sum of all numbers is 629, divided by 6 is 104.83 repeating.

median is the number in the middle. since there are six numbers and no middle one, the two in the middle (when ordered smallest to largest) are 101 and 103. the number between those two is 102 and therefore the median.

mode is the number that appears the most in the data set, which is 101 in this case.

range is the difference between the largest number and the smallest. the largest number is 121, minus 93, the smallest number, gives you 28.

hope this helps!

Answer:

1mg= 1000g

Step-by-step explanation:

1000 grams makes up 1miligram

For the given sequence the general term could be defined as n/(n + 1), where 'n' is clearly a natural number.

Answer:

I. L = 17 cm.

II. W = 11 cm.

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Perimeter of rectangle = 56cm

Translating the word problem into an algebraic expression, we have;

L = W + 6 .....equation 1

The perimeter of a rectangle is given by the formula;

P = 2(L + W)

56 = 2(L + W) ......equation 2

Substituting eqn 1 into eqn 2, we have;

56 = 2(W + 6 + W)

56 = 2(6 + 2W)

Opening the bracket, we have;

56 = 12 + 4W

4W = 56 - 12

4W = 44

W = 44/4

W = 11 cm

Next, we would find the length of the rectangle;

From eqn 1;

L = W + 6

L = 11 + 6

L = 17 cm

Answer:

It's close between Y and Z, but I'd go with Z

Step-by-step explanation:

[tex]-\sqrt{5}[/tex]≈-2.2360679775

This is my work: -10 does not equal 3, so therefore there is no solution

Answer:

A:38 c:54

Step-by-step explanation:

First off, I did the easiest which was a. i found the value of A by subtracting 180 by 142. because a flat line is 180 degrees.

For C, It was more difficult. I subtracted 88 by the value of A, since the value of A is the same as the one next to 88. So I subtracted 126 (88+38) and got 54.  

Fortunately, I couldn't figure out B though, but i think it is a similar answer to c.  

Answer:

Step-by-step explanation:

M + P + C = 13.5

6M + 3P + C = 48.50

OM + 2P - C = O

2P = C

Therefore, there are 6 pounds of meat, 2.5 pounds of potatoes, and 5 pounds of carrots.

A. [tex]3x-2x+0.5x=1.5x[/tex], so the expressions are equivalent.

B. [tex]3(x+4)-2(x+4)=x+4[/tex], so the expressions are not equivalent. To make the expressions equivalent, add 1 to expression B.

C. [tex]6(x+4)-2(x+5)=6x+24-2x-10=4x+14=2(2x+7)[/tex], so the expressions are equivalent.

D. [tex]3(x+4)-2(x+4)+0.5(x+4)=1.5(x+4)[/tex], so the expressions are not equivalent. To make the expressions equivalent, multiply expression B by (x+4).

Answer:

In Exercises 1-9, describe the transformation of f(x) = x² represented by g. ... 14. f(x) = 4x2 + 5; horizontal stretch by a factor of 2 and a translation 2 units up, ... graph of g be a horizontal shrink by a factor of the graph of f(x) = x2 x 2x ... 4(x-3)?–4.

Step-by-step explanation:

Answer:

24 feet

Step-by-step explanation:

distance away is x

tan(20)=x/65

65*tan(20)=x

x=23.65806... feet

round to the nearest foot

x=24

Answer:

111*

Step-by-step explanation:

46*2=92

360-92-157=111

Answer:

if it will help

y^7

Step-by-step explanation:

y^4+3 = y^7

Answer:

12+98=110

Step-by-step explanation:

Answer:

Graph C

Step-by-step explanation:

We can tell because the equation states that the y intercept is -3 and has a steep slope

Answer:

359.1887600604 so D should be right    

Answer:

1) x = 5√3, y = 5

2) x = 16, y = 8

3) x = 10, y = 5

4) m = 9√15/10, n = 9√5/10

5) x = 3√3/2, y = 3/2

6) x = 6√5, y = 3√5

7) x = 5, y = 5

8) x = 5√2, y = 5

9) a = 2, b = √2

10) m = 10√6/3, n = 5√6/3

Explanation:

For special right triangles, there is a certain side ratio that applies due to the angle measurements which are opposite of the corresponding angles.

For 30° - 60° - 90° triangles (Scalene Right), we can use x as a marker for the side opposite of 30°, the side opposite of the 60° angle will be x√3, and the side opposite of the 90° angle will be 2x.

For 45° - 45° - 90° triangles (Isosceles Right),

Both 45° angles can be thought of as x, and the 90° angle can be thought of as x√2.

This is all computed as a result of the trigonometric functions:

SOH CAH TOA.

This is a shortcut for these specific triangles.

If you do not have the side marked as x, just do the inverse operation to get it.

90° is always opposite of the hypotenuse (longest side of a triangle; looks like a slant)

Answer:

The repeating decimal 0. 72 can be written as a ratio of two integers with numerator 8 and denominator 11 as the numerator and denominator, respectively. As a result, it is a logical number (named after ratio). If a number's decimal representation repeats or terminates, it may be seen to be rational.

Step-by-step explanation:

0.72 equals 8 /11

as a fraction.

How do you turn 0.72 repeating into a fraction?

Detailed Answer:

Step 1: To convert 0.72 repeating into a fraction, begin writing this simple equation:  

n = 0.72 (equation 1)  

Step 2: Notice that there are 2 digits in the repeating block (72), so multiply both sides by 1 followed by 2 zeros, i.e., by 100.  

100 × n = 72.72 (equation 2)  

Step 3: Now subtract equation 1 from equation 2 to cancel the repeating block (or repetend) out.  

100 × n = 72.72

 1 × n = 0.72

99 × n = 72  

72 /99

could be the answer, but it still can be put in the simplest form, i.e., reduced.  

To simplify this fraction, divide the numerator and denominator by 9 (the GCF - greatest common factor).  

n = 72

99  = 72 ÷ 9

99 ÷ 9  = 8  11 .

So,   0.72 = 8 /11

as the lowest possible fraction.

_____________________________________

(hope this helps can i plz have brainlist :D hehe)

Given:

The number is 234.900.

To find:

The [tex]\dfrac{2}{9}[/tex]th of 234.900.

Solution:

We need to find the [tex]\dfrac{2}{9}[/tex]th of 234.900. So, multiply [tex]\dfrac{2}{9}[/tex] and 234.900 to get the required value.

[tex]\text{Required value}=\dfrac{2}{9}\times 234.900[/tex]

[tex]\text{Required value}=\dfrac{469.800}{9}[/tex]

[tex]\text{Required value}=52.200[/tex]

Therefore, the [tex]\dfrac{2}{9}[/tex]th of 234.900 is 52.200 or it can be written as 52.2.

Answer:

27

Step-by-step explanation:

Answer:

22°

Step-by-step explanation:

<1 is a secant-secant angle (it lies outside the circle, created by two lines that cut through the circle). The measure of a secant-secant angle is half the difference of the measures of the intercepted arcs:

<1=(0.5)(98-54)

<1=(0.5)(44)

<1=22°

40 cubic units, just count them my guy

you got a chunk of 32 and a chunk that's 8

Answer:

1) 16

2) -196020

Step-by-step explanation:

simple answer using DMAS rule

D = Division

M = Multiplication

A = Addition

S = Subtraction

Answer:

Salt is sodium.

Answer:

Salt is Sodium.

Step-by-step explanation:

When you break down the compounds of salt you find molecules of sodium thus saying that salt is made up of sodium molecules.

Answer:

D

Step-by-step explanation:

(4.5+3+2) x4.5 = 42.75

hope this helps

Answer:

D. 42.75 square inches

Step-by-step explanation:

Area = height x width

Height = 4.5 inches

Width = 3 + 4.5 + 2 = 9.5 inches

4.5 x 9.5 = 42.75 square inches