what is the value of tan(arccos(-sqrt2/2)

Answer:

It would be $ for 2 other planes of glass because if you take 7 divided by 7 to get 1 pane of glass you have to divide 16.45 by 7 to get how much it costs for 1 pane of glass. So for 1 pane of glass, it is $2.35 then lastly you can either add 2.35 and 2.35 to get $4.70 or take 2.35 times 2 to get your total. So it will cost $4.70 to get 2 panes of glass.

Step-by-step explanation:

Answer:

[tex]x = \displaystyle \frac{5 + \sqrt{17}}{2}[/tex].

Step-by-step explanation:

Because [tex]3\, x[/tex] is found in the input to a logarithm function in the original equation, it must be true that [tex]3\, x > 0[/tex]. Therefore, [tex]x > 0[/tex].

Similarly, because [tex](x - 4)[/tex] and [tex](2\, x - 1)[/tex] are two other inputs to the logarithm function in the original equation, they should also be positive. Therefore, [tex]x > 4[/tex].

Let [tex]a[/tex] and [tex]b[/tex] represent two positive numbers (that is: [tex]a > 0[/tex] and [tex]b > 0[/tex].) The following are two properties of logarithm:

[tex]\displaystyle \ln (a) + \ln(b) = \ln\left(a \cdot b\right)[/tex].

[tex]\displaystyle \ln (a) - \ln(b) = \ln\left(\frac{a}{b}\right)[/tex].

Apply these two properties to rewrite the original equation.

Left-hand side of this equation:

[tex]\begin{aligned}&\ln(3\, x) - \ln(x - 4)= \ln\left(\frac{3\, x}{x -4}\right)\end{aligned}[/tex]

Right-hand side of this equation:

[tex]\ln(2\, x- 1) + \ln(3) = \ln\left(3 \left(2\, x - 1\right)\right)[/tex].

Equate these two expressions:

[tex]\begin{aligned}\ln\left(\frac{3\, x}{x -4}\right) = \ln(3(2\, x - 1))\end{aligned}[/tex].

The natural logarithm function [tex]\ln[/tex] is one-to-one for all positive inputs. Therefore, for the equality [tex]\begin{aligned}\ln\left(\frac{3\, x}{x -4}\right) = \ln(3(2\, x - 1))\end{aligned}[/tex] to hold, the two inputs to the logarithm function have to be equal and positive. That is:

[tex]\displaystyle \frac{3\ x}{x - 4} = 3\, (2\, x - 1)[/tex].

Simplify and solve this equation for [tex]x[/tex]:

[tex]x^2 - 5\, x + 2 = 0[/tex].

There are two real (but not rational) solutions to this quadratic equation: [tex]\displaystyle \frac{5 + \sqrt{17}}{2}[/tex] and [tex]\displaystyle \frac{5 - \sqrt{17}}{2}[/tex].

However, the second solution, [tex]\displaystyle \frac{5 - \sqrt{17}}{2}[/tex], is not suitable. The reason is that if [tex]x = \displaystyle \frac{5 - \sqrt{17}}{2}[/tex], then [tex](x - 4)[/tex], one of the inputs to the logarithm function in the original equation, would be smaller than zero. That is not acceptable because the inputs to logarithm functions should be greater than zero.

The only solution that satisfies the requirements would be [tex]\displaystyle \frac{5 + \sqrt{17}}{2}[/tex].

Therefore, [tex]x = \displaystyle \frac{5 + \sqrt{17}}{2}[/tex].

Answer:

(0.9036, 0.9064)

Step-by-step explanation:

Given that:

True mean (m) = 0.9050

Standard deviation (s) = 0.0100

Sample size ( n) = 48

Interval for 90% of the sample mean :

Mean ± Error

Error = Zcritical * (standard deviation /sqrt(n))

Zcritical at 90% confidence interval = 1.64

Hence,

Error = 1.64 * (0.0100/sqrt(48)) = 0.0014433

Lower boundary = m - Error = (0.9050 - 0.0014433) = 0.9035567

Upper boundary = m + Error = (0.9050 + 0.0014433) = 0.9064433

(0.9036, 0.9064)

Answer:

59

Step-by-step explanation:

b^3 is 27

2(27) is 54

54+5 is 59

if u mean (2b)^3 then 2b is 6

6^3 is 216

plus 5 is 221

Answer: It is 59 For part 2 But for part 1 it is 3

Step-by-step explanation:

Answer:

12x + 3y = 15

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

The sum of the their ages is 72. 48 divided by 2 is 24. 48 plus 24 is 72

Based on the sum of their ages and their age relationship, Nicole can be said to be 24 years.

Nicole is half as old as Donald which means that Donald is twice as old as Nicole. Assuming Nicole is aged x years, the equation would be:

Nicole age + Daniel age = 72

x + 2x = 72

Solving would give:

x + 2x = 72

3x = 72

x = 72 / 3

x = 24

In conclusion, Nicole is 24.

Find out more on age relationships at https://brainly.com/question/24859453.

Answer:

C

Step-by-step explanation:

Oleg is correct because the least common denominator of both is 4, so each must have 4 peices

Answer:

B 10x+5

Step-by-step explanation:

:)

Answer:35 degrees

Step-by-step explanation:

Answer:

angle KLN° + angle NLM° =180° ( l.p)

angle NLM°=180°-145°

angle NLM=35°

Answer:

0 dollars

=E(M)

=μ  

M

​  

=−$10,000(0.81)+$40,000(0.18)+$90,000(0.01)

=−8,100+7,200+900

=0

​  

Answer:

0.2, as stated on Khan.

Step-by-step explanation:

Pay attention to the wording. There are two similar problems with wording, but the numbers are altered.

Answer:

d=-40t+2100

Step-by-step explanation:

Let d be the distance between New York to Los Angeles and speed of driving is v miles/hour.

As when they have driven for 10 hours, they are 1700 miles away from Los Angeles, so the distance covered in 10 hours is d-1700 miles.

Similarly, the distance covered in 15 hours is d-1500 miles.

So, the distance covered in 5 hours = (d-1500)-(d-1700) =d-1500-d+1700=200 miles.

As speed = distance/time,

So the speed of driving, v=200/5=40 miles/hour

Let d (in miles) be the remaining distance at any time instant t (in hour) and the linear relation between d and t is

d=at+b ...(i)

where a and b are constants.

When they have driven for 10 hours, they are 1700 miles away from Los Angeles, so putting t=10 and d=1700 in the equation (i), we have

1700=10a+b

b=1700-10a...(ii)

Similarly, when they have driven for 15 hours, they are 1500 miles away from Los Angeles, so

1500=15a+b

1500=15a+1700-10a

1500-1700=5a

-200=5a

a= -200/5

a= -40

From equation (ii), we have

b=1700-10(-40)=1700+400=2100

From equation (i), the required equation is

d=-40t+2100

Hence the required linear function is d=-40t+2100.

Answer: 8/3

Step-by-step explanation:

So first what you do is you have to add the whole number to the numerator and you do that by multiplying the whole number by the deniminator which is 6. Now you add the 6 to the numerator which is 8, so you get 8/3.

Sorry this got so complicated. Hope this helped!

Answer:

Step-by-step e

-35

Answer:

l = 23 cm and w = 5.7 cm

Step-by-step explanation:

Perimeter = twice the length plus twice the width

let w = width

let l = length

l = 5.9 + 3w

57.4 = 2(5.9 + 3w) + 2w

57.4 = 11.8 + 6w + 2w

57.4 = 11.8 + 8w

45.6 = 8w

w = 5.7

Substitute 5.7 for 'w' to get 'l':

l = 5.9 + 3(5.7)

l = 23

Answer:

Step-by-step explanation:

I think jhonnu

Answer:

S=H+2

Step-by-step explanation:

OK, so hailey is the variable H. And she is 2 years younger than her sister.

What is the age of her sister?

So we know it has to be, hailey's age + something? = age of her sister.

what is that +something? it's the number "2 years younger" so hailey's age; which is h, plus 2 is equal to her sister's age.

H+2=S

OK, why do we need to add 2? instead of minus two? Because hailey is 2 years younger than her sister, so you want hailey's age. If you were to minus 2, you'd be thinking that hailey is OLDER than her sister. Because if you want to her sister's age, you would have to SUBTRACT 2 because you are OLDER than her. So if you are younger than the sister, you would add to get your sister's age.

Answer:

S=H+2

Step-by-step explanation:

I got it right and that all that matters.

Answer:

1. shift -6 to the right side and plus with-20

2.shift 7 to other side and it will be multiply

3. 4x need to divide by 4 to get the value of x

The correct justification are 1) Add 6 on both side, 2) multiply by 7 on both side. 3) divide by 4 on both sides.

Adelle solved the equation 4x/7-6= -20 as shown. Correct justification for each step to be filled.

In mathematics simplification meaning to the  step by step solution.

Here,
4x/7 = -14             ⇒     Addition of 6 both side.
4x = -98              ⇒      Multifaction by 7 on both sides
x = -24.5             ⇒        Division by 4 on both sides

Thus, the correct justification are  1) Add 6 on both side, 2) multiply by 7 on both sides.  3) divide by 4 on both sides.  

Learn more about simplification here:
https://brainly.com/question/17579585

#SPJ2

Answer:

X=2

DG=4

Step-by-step explanation:

Answer:

X=2

DE=4

THE ANSWER IS UPPP

1. Area of a circle is pi x R^2

Area = 3.14 x 18^2

Area = 3.14 x 324= 1017.36 sq. In.

The blade covers 122 out of 360 degrees.

1017.36 x 122/360 = 345 square inches.

2.

Like above.

Area =3.14 x 75^2 = 17,662.5 square feet

17662.5 x 80/360 = 3,925 square feet.

Answer:

111 can i get brailyist for replying so fast.

Answer:

23

Step-by-step explanation:

[tex] \frac{2}{5} \times \frac{x}{59} [/tex]

the number of drops of nectar goes on the bottom, and the number of butterflies goes on the top

then you cross multiply to get 5x= 118

solve for × and you get 23.6

for this situation, 0.6 of a butterfly doesn't make sense, so we need to round down.

we round down because it's okay if there's extra nectar, but there can't be less than enough.

you can be 23 butterflies with 59 drops of nectar

The standard deviation of the possible outcomes is to be considered as the 10.25.

Since there is a binomial trial has a probability of success of 0.3, and 500 trials are performed.

So here

q = 1 - P

= 1 - 0.3

=0.7

Now the standard devation be like

[tex]= \sqrt{500\times 0.3 \times 0.7}[/tex]

=  10.25

hence, The standard deviation of the possible outcomes is to be considered as the 10.25.

Learn more about standard deviation here: https://brainly.com/question/15699543

Answer:

A. 1/5

Step-by-step explanation:

First off, ignore the "each one is five tickets" part, that's just there to confuse you. There are ten tickets total sold, of which two are sold to girls. You can express this as 2/10, which simplifies to 1/5.

Answer:

x = 7

Step-by-step explanation:

Given

2(2x + 1) = 30

4x + 2 = 30

4x = 30 - 2

4x = 28

x = 28/ 4

x = 7

Hope it helps :)❤

Answer:

x= 7

Step-by-step explanation:

2(2x+1) =30

2×2x+2×1=30

4x+2=30

4x=30-2

4x=28

x=28÷4

x=7

Answer:

2700

Step-by-step explanation:

i think

Answer:

Step-by-step explanation:

Let J(t) represent Juan's equation and A(t) represent Aubree's equation. If Juan starts this venture on page 5, even if he didn't read any more days at all, when t = 0, he would still have read those 5 pages. Because he reads 14 pages per day, then he reads 14t and t represents the number of days gone by. His equation then is

J(t) = 14t + 5

Likewise, for Aubree, even if she decides not to read any more past the original 25 pages she started with, she would still have read those 25 pages. Her equation then would be

A(t) = 10t + 25

We need to know how many days will go by before they are both on the same page, so set the equations equal to each other and solve for t:

14t + 5 = 10t + 25 and

4t = 20 so

t = 5

After 5 days they will have both read the same number of pages.

Answer:

The scale factor is just the ratio like 3/15

little traingle/big triangle

Step-by-step explanation:

Answer:

c and a

Step-by-step explanation:

[tex] {x}^{2} + 2x - 15 = 0 \\ (x + 5)(x - 3) = 0 \\ x = - 5 \\ x = 3[/tex]

Therefore the answer is D.

Answer:

The first piece has a length of 7 inches, the second has a length of 14 inches and the third has a length of 21 inches.

Step-by-step explanation:

x represents the length of the first​ piece.

Hence, the second piece has a length of 2x and the third piece has a length of 3x.

Hence, x + 2x + 3x = 42 inches.

x + 2x + 3x = 42 inches

6x = 42 inches

x = 7 inches

Hence, the first piece has a length of 7 inches, the second has a length of 14 inches and the third has a length of 21 inches.

Hope this helped!