Enter and solve an equation to find the complement of an angle that measures 38º.
Use x as your variable.
An equation is
The measure of x is

Answer:

  1

Step-by-step explanation:

There are a couple of identities that come into play here:

  a³ -b³ = (a -b)(a² +ab +b²)

  (x^a)/(x^b) = x^(a-b)

  (x^a)^b = x^(ab)

  (x^a)(x^b) = x^(a+b)

_____

These mean we can simplify the expression as follows.

  [tex]\left(\dfrac{x^{a}}{x^{b}}\right)^{a^2+ab+b^2}\times\left(\dfrac{x^{b}}{x^{c}}\right)^{b^2+bc+c^2}\times\left(\dfrac{x^{c}}{x^{a}}\right)^{c^2+ca+a^2}\\\\=x^{(a-b)(a^2+ab+b^2)}\times x^{(b-c)(b^2+bc+c^2)}\times x^{(c-a)(c^2+ca+a^2)}\\\\=x^{a^3-b^3}\times x^{b^3-c^3}\times x^{c^3-a^3}=x^{(a^3+b^3+c^3)-(a^3+b^3+c^3)}\\\\=x^0=\boxed{1}[/tex]

The expression has a value of 1.

__

Additional comment

For certain values of x and the exponents, the individual factors may exceed the ability of a calculator to express the value. That is, an attempt at numerical evaluation of this may produce a result different from 1. In any event, the expression is undefined for x=0.

Answer:

4/3 = slope

Step-by-step explanation:

Answer:200 in ^3

Step-by-step explanation:

Answer:

I guess that X measures 50° because X and 50 are vertically opposite angles...

Answer: [tex]\frac{3}{5}[/tex] of the judges were not wearing their powdered wigs.

Step-by-step explanation:

[tex]\frac{2}{5}[/tex] out of the whole [tex]\frac{5}{5}[/tex] were wearing a wig. So subtract [tex]\frac{2}{5}[/tex] from [tex]\frac{5}{5}[/tex] to see the fraction that wasn't wearing a wig.

[tex]\frac{5}{5} -\frac{2}{5} =\frac{3}{5}[/tex]

Answer: converse alternate exterior angles theorem

Step-by-step explanation:

Answer: 5 years

Step-by-step explanation:

A= P(1-r)^t

A= Depreciation value

P = Initial amount

r= rate = 7/100= 0.07

t= time

t= (Ln(A/P))/Ln(1-r)

= (Ln(25949.18/37300))/Ln(1-0.07)

t= 4.999 approximately 5 years

Answer:

3x + 5y = 9

Explanation:

A linear function is represented by the equation: y = mx + b

In option C:

3x + 5y = 9       is a linear equation as it has slope and y-intercept

Linear means degree is 1

#A

Not linear

#B

Degree is 5 not linear

#C

Linear

#D

Degree is 2 hence quadratic

Answer:

seventy fourteenths

Step-by-step explanation:

seven = 7

ten fourteenth = 10 fourteenth

one-fourteenth = 1/14, so ten fourteenths = 10/14

7 * 10/14

when multiplying two numbers, multiply the numerators and denominators together separately to get your new numerator and denominator

7 = 7/1 as anything divided by 1 equals itself

7 * 10/14 = 7/1 * 10/14 = (7*10) / (1*14) = 70/14 = seventy fourteenths

Answer: f= [tex]x^2+4x+8+(7/3x-4)[/tex]

Step-by-step explanation:

Careful with simplifying every step.

Answer:

d = 4

Step-by-step explanation:

If (x -2) is a factor of polynomial p(x), then the remainder will be zero.

⇒ p(2) = 0

[tex]\sf \bf 2^4-d*2^3 + 8*2^2 -10*2 + 4 = 0\\\\[/tex]

       16 - 8d + 8*4 - 20 + 4 = 0

        16 - 8d + 32 - 20 + 4 = 0

                   -8d  +  32       = 0

                              -8d      = - 32

                                      d = -32/(-8)

[tex]\boxed{d = 4}[/tex]

Answer:

-4343

Step-by-step explanation:

-6719

+2376

-----------

-4343

Answer:

1#

3

2#

6

3#

9

4#

12

5#

15

Step-by-step explanation:

Answer:

add 36

Step-by-step explanation:

give me brainliest

Answer:

add 36

Step-by-step explanation:

Answer:

B. 8

Step-by-step explanation:

Explanation: 2.3x3.6 is 8.28, and we round down to 8 because 8.28 is closer to 8 than 9.

Answer:

A: y= 3x-4

B: y= -2/4x+3

Step-by-step explanation:

slope intercept form: y=mx+b

m = slope

slope = rise/run

b = y-intercept

Answer:

A: y = 3x - 4

B: y = -1/2x +3

Step-by-step explanation:

First, lets find the slope of line B. We need to find two coordinates on the line that coincide with points on the grid. We see that (2, 2) and (4, 1) are two points that match the criteria, so we can use both points. You can use any two points, I just randomly chose these two. Slope is nothing but the Y coordinate of the first point  subtracted from the Y coordinate of the second point. We do 2 - 4 and get -2. Next, we do the same thing but with the X coordinates to get 2 - 1, which is 1. We do 1 over -2 to get negative 1/2 for our slope. The last variable in the equation is just where the line hits the Y axis, which is 3. So, the final equation is y = -1/2x + 3. Rinse and repeat for the next question.

the value of x= 3

and the value of y=5

Answer:

Step-by-step explanation:

       [tex]\begin{cases}6x=2y+8&\\ 4x+5y+10=47&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ 12x+15y+30=141&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ (4y+16)+15y=111&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ 19y+16=111&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ 19y=95&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ y=\frac{95}{19}=5 &\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}12x=20+16=36&\\ y=5 &\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}x=3&\\ y=5 &\end{cases}[/tex]

Scientific Notation: 2.29 × [tex]10^6[/tex]

Standard Form: 2288000

I hope this helps you

:)

Answer:

About 12 more visitors ( 12.08 to be exact)

The equation that is equivalent to the considered equation of log is given by: Option E: 2^3 = x+5

When you raise a number with an exponent, there comes a result.

Lets say you get [tex]a^b = c[/tex]

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

[tex]b = \log_a(c)[/tex]

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

Some properties of logarithm are:

[tex]\log_a(b) = \log_a(c) \implies b = c\\\\\log_a(b) + \log_a(c) = \log_a(b \times c)\\\\\log_a(b) - \log_a(c) = \log_a(\frac{b}{c})\\\\\log_a(b^c) = c \times \log_a(b)\\\\\log_b(b) = 1\\\\\log_a(b) \times log_b(c) = \log_a(c)[/tex]

Log with base e = 2.71828... is written as [tex]\ln(x)[/tex] simply.

Log with base 10 is written as [tex]\log(x)[/tex] simply.

The equation given is:

[tex]\log_3(x+5) = 2[/tex]

By using the definition of log, which says [tex]a^b = c \leftrightarrow \log_a(c) = b[/tex], we get:

[tex](x+5) = 2^3[/tex] or [tex]2^3 = x+5[/tex]

Thus, the equation that is equivalent to the considered equation of log is given by: Option E: [tex]2^3 = x+5[/tex]

(we used the fact that the question is asked in a way that expresses that there is only one equivalent equation. Plus we used the fact that as option E is a sure equivalent version, so it is correct option).

Thus, the equation that is equivalent to the considered equation of log is given by: Option E: [tex]2^3 = x+5[/tex]

Learn more about logarithm here:

https://brainly.com/question/20835449

Answer:

0.25

Step-by-step explanation:

1/2 divided by 0.25 gives you 2. If you want approval do it on a calculator.

Hey there!

EQUATION: 1/2 ÷ x = 2

REWRITE: 1/2x = 2

MUTLTPLY 2x to BOTH SIDES

1/2x * 2x = 2 * 2x
SIMPLIFY IT!

1 = 4x

4x = 1

DIVIDE 4 to BOTH SIDES

4x/4 = 1/4

SIMPLIFY IT!
x = 1/4

Therefore, your answer is: 1/4

Good luck on assignment & enjoy your day!

~Amphitrite1040:)

The equation 17 - 4x - 4= - 10x + 13 + 6x is a linear equation

The true statement about Bob's solution is (d) There are infinitely many solutions since 13 = 13 is a true statement.​

The equation and the steps are given as:

17 - 4x - 4= - 10x + 13 + 6x

13 - 4x = -4x + 13

13 = 13

The final step where both sides of the equation are represented by the constant value 13 means that:

The equation has infinitely many solutions

Hence, the true statement about Bob's solution is (d) There are infinitely many solutions since 13 = 13 is a true statement.​

Read more about linear equations at:

https://brainly.com/question/14323743

Answer:

Step-by-step explanation:

d or b

Answer:

1. Quantitative data

2. Quantitative data

3. Qualitative data

4. Qualitative data

5. Quantitative data

6. Qualitative data

7. Quantitative data

8. Qualitative data

9. Quantitative data

10. Quantitative data

Step-by-step explanation:

Qualitative data usually answers the question "what kind". Quantitative data answers the question "how many" (or "how much" ).

Answer:

quantitative or qualitative

Answer:

-2

Step-by-step explanation:

4c-5=2c-9

2c= -4

c= -2

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{SOLVING FOR THE C-VALUE}\downarrow[/tex]

[tex]\mathsf{4c - 5 = 2c - 9}[/tex]

[tex]\large\text{SUBTRACT 2c to BOTH SIDES}[/tex]

[tex]\mathsf{4c - 5 - \bold{2c} = 2c - 9 - \bf 2c}[/tex]

[tex]\large\text{SIMPLIFY IT!}[/tex]

[tex]\mathsf{ 2c - 5= -9}[/tex]

[tex]\large\text{ADD 5 to BOTH SIDES}[/tex]

[tex]\mathsf{ 2c - 5 + \bold{5} = -9 + \bf 5}[/tex]

[tex]\large\text{SIMPLIFY IT!}[/tex]

[tex]\mathsf{2c = -4}[/tex]

[tex]\large\text{DIVIDE 2 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{2c}{\bf 2} = \dfrac{-4}{\bf 2}}[/tex]

[tex]\large\text{SIMPLIFY IT!}[/tex]

[tex]\mathsf{c = -2}[/tex]

[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{c = -2}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

The measure of angles are opposite angles where ∠2 = 37°'

Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.

Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

Given data ,

Let the two intersecting lines be m and n

where the measure of ∠4 = 37°

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

So , the measure of ∠2 = ∠4

On simplifying , we get

The measure of angle ∠2 = 37°

Hence , the angle is ∠2 = 37°

To learn more about angles formed by intersecting lines click :

https://brainly.com/question/16315358

#SPJ7

Answer:

40 fluid ounces of drink A must be added to 80 oz of drink B to have a drink whose final proportion of water is 30%

Step-by-step explanation:

35% of 80 oz of drink B = 0.35(80) = 28 oz

0.20(A) + 0.35(80) = 0.30(A + 80)

0.20A + 28 = 0.30A + 24