In the right triangle shown in the diagram below,
what is the value of x to the nearest whole number?

Answer: True

Through the change of base formula, we can say,

[tex]\log_{2}(1) = \frac{\log(1)}{\log(2)} = \frac{0}{\log(2)} = 0[/tex]

So in short,

[tex]\log_{2}(1)=0[/tex]

It turns out that

[tex]\log_{b}(1) = 0[/tex]

for real numbers b such that b > 0 and [tex]b \ne 1[/tex]

Answer:

I think C is the relation between the variables.

✦ ✦ ✦ Beep Boop - Blu Bot! At Your Service! Scanning Question . . .

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--------------------------------------------------------------------------------------------------------------Question: x3+y3+z3=k, with k being all the numbers from one to 100

--------------------------------------------------------------------------------------------------------------Answer: X = -80538738812075974, Y = 80435758145817515, and Z = 12602123297335631.

-------------------------------------------------------------------------------------------------------------

        X = -80538738812075974, Y = 80435758145817515, and Z = 12602123297335631.

Answer:

106.44 ft

Step-by-step explanation:

tan = opp/adj

tan61 = opp/59

59*tan61 = opp

opp = 106.438817561014012

Rounded

106.44 ft

Answer:

-5/2

Step-by-step explanation:

Perpendicular slope is always the negative reciprical. This basically means the opposite sign and the nubers are flipped.

Answer:

5. 2 hours 45 minutes 6. 7:23 7. 10:05 8. 1 hour 34 minutes

Step-by-step explanation:

I mean u gotta be lying about staying up all night to do these 4 problems but heres the answers

Answer:

5. 2 hours 45 mins

6. 7:23 start

7. 10:05

8. 1 hour 34 mins

Solution :

Cost of 1 kg super tea mixture

[tex]$=\frac{1(1600)+5(800)+1(1700)}{1+5+1}$[/tex]

[tex]$=\frac{1600+4000+1700}{7}$[/tex]

[tex]$=\frac{7300}{7}$[/tex]

= 1042.8

≈ 1043

Include of cost blending and packaging.

So, cost of 1 kg is 1043 + 40 = 1083

Cost of packaging of 825 gram super tea = [tex]$\frac{825}{1000} \times 1083$[/tex]

                                                                     = 893.47

Answer:

Step-by-step explanation:

Use the Law of Sines here:

[tex]\frac{sin120}{8} =\frac{sinB}{3}[/tex] and cross multiply to get

8sinB = 3sin120 and solve for B:

[tex]sinB=\frac{3sin120}{8}[/tex] and

sinB = .3247595264

Now hit the 2nd button and then sin to get

[tex]sin^{-1}([/tex]      

on your display. After that open parenthesis, enter that decimal and hit enter to get that angle B = 18.95 which you can round to howeve many places you need.

Answer:

=−4√2​

I got this when simplified.

Answer:

24/60=6/15=2/5=48/120=16/40

Step-by-step explanation:

Now we see that,

6/15=2/__

Let us say '__' in 2/__ is 'x'

6/15=2/x

6x=15x2

6x=30

x=5

=>2/5

Similarly,

2/5=x/120

2x120=5x

240=5x

5x=240

x=240/5

x=48

=>48/120

48/120=16/x

48/16=120/x

3=120/x

x=120/3

x=40

=>16/40

Answer:

B

median

hope its help you

Answer: B. Median

Step-by-step explanation:

its the middle line.

Answer:

2+2= -5

Step-by-step explanation:

i dont come up with the rules i just state the facts.

Answer:

metals or metalloids

Step-by-step explanation:

I'm built different i dont know if im right about the question. im just not sure if i understood the question correctly

Answer:

B. (8, -54)

Step-by-step explanation:

y = -7x + 2

Check to see if the point makes the equation true

A. (1,2)  2 = -7(1)+2 = -7+2 = 5   False

B. (8, -54) -54 = -7(8)+2 = -56+2 = -54  True

C. (5, -35)  -35 = -7(5) +2 = -35+2 = -33 False

D. (1, -7)  -7 =-7(1)+2 = --7+2 = -5  False

Answer:

[tex]8^{-3}[/tex]

Step-by-step explanation:

[tex]\frac{8^3}{8^6}[/tex]

in division f the base are same u can subtract their exponents

8^3-6

8^-3

Answer:

i had the exact same question as this, dm me on discord so i can screenshare my answer

Step-by-step explanation:

jey0001 is my discord

Answer:

[tex]8x3+24x2+10x+30= 2[(4x^2+5)(x+3)][/tex]

Step-by-step explanation:

Given

[tex]8x3+24x2+10x+30= 2(4x^3+12x^2+5x+15)[/tex]

[tex]8x3+24x2+10x+30= 2[4x^2(x+3)+5(x+3)][/tex]

Required

The complete factored form

We have:

[tex]8x3+24x2+10x+30= 2[4x^2(x+3)+5(x+3)][/tex]

Factor out x + 3

[tex]8x3+24x2+10x+30= 2[(4x^2+5)(x+3)][/tex]

The above represents the completely factored form

Answer:

C on edge

Step-by-step explanation:

I took the test

Answer:

10000 times 3 times 0.04 = 1200

Answer:

11268.25

Step-by-step explanation:

[tex]P(1+\frac{i}{n})^{n*t}=10000(1+\frac{.04}{4})^{4*3}=11268.2503[/tex]

Answer:

balanced

Step-by-step explanation:

The upward force is 75+ 160 =235

The downward force is 235

The force is balanced since the upward force equals the downward force

Answer:

m ∠ ZLK = 75°

Step-by-step explanation:

=============================================================

Explanation:

Ignore the rows that are labeled "stock ABC" and "stock MNO".

We only focus on the top row (gains and losses) and the "stock JKL" row.

Multiply each gain or loss with its corresponding probability in decimal form. Use negative values to represent a loss

Add up those results to get the final answer: -3.75+3.25+9 = 8.50

-----------------------

Here's another way to get the answer.

Let's say you had a 10 by 10 grid of graph paper.

This can be thought of as like a dart board. Imagine throwing 1000 darts at this grid (maybe do so blindfolded to give each square an equal chance; if you land outside the grid then re-throw the dart). Theoretically, the probability of landing in the red area is 15/100 = 0.15, so we expect about 1000*0.15 = 150 darts will land there out of the 1000 thrown total. Each of those 150 darts in the red area represents a loss of $25. So we have a loss of 150*25 = 3750 dollars. We'll write this as -3750.

We also expect 0.65*1000 = 650 darts to have a gain of $5. That means 650*5 = 3250 is earned here. Furthermore, 0.20*1000 = 200 darts land in the green squares to get us $45 per attempt. So that's another 45*200 = 9000 dollars.

Overall, we would get -3750+3250+9000 = 8500 in profit.

Divide this over the 1000 dart throws and we end up with an expected value of 8500/1000 = 8.50

Keep in mind that this dart game or thought experiment is depending on theoretical probabilities. If you actually do this game, then your empirical probabilities will likely differ slightly from the theoretical values. However, the more trials you conduct, the closer your empirical probabilities should get to the theoretical ones.

Answer:

a- x = 5/3, or x = -7/2

b- 675

c - 5·x + 2

Step-by-step explanation:

The polynomial representing the capital of the two partners = 6·x² + 11·x - 35

a. The total share is the capital of the two partners together = 6·x² + 11·x - 35

∴ When their total share is equal to 0, we have;

6·x² + 11·x - 35 = 0

Factorizing the above equation with a graphing calculator gives;

(3·x - 5)·(2·x + 7)

Therefore;

x = 5/3, or x = -7/2

b- The total expenditure, when x = 10 is given by substituting the value of x in the polynomial 6·x² + 11·x - 35, as follows;

When x = 10

6·x² + 11·x - 35 = 6 × 10² + 11 × 10 - 35 = 675

The total expenditure of Vicky and Micky when x = 10 is 675

c - The sum of their expenditure is (3·x - 5) + (2·x + 7) = 5·x + 2

Answer:

58.6 degrees

Step-by-step explanation:

Answer:

[tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}}} \, dx = \infty[/tex]

General Formulas and Concepts:

Algebra I

Calculus

Limits

Limit Rule [Variable Direct Substitution]:                                                             [tex]\displaystyle \lim_{x \to c} x = c[/tex]

Derivatives

Derivative Notation

Basic Power Rule:

Integrals

Integration Constant C

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

U-Substitution

U-Solve

Improper Integrals

Exponential Integral Function:                                                                              [tex]\displaystyle \int {\frac{e^x}{x}} \, dx = Ei(x) + C[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx[/tex]

Step 2: Integrate Pt. 1

Step 3: Integrate Pt. 2

Identify variables for u-substitution.

Rewrite u-substitution to format u-solve.

Step 4: Integrate Pt. 3

∴  [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx[/tex]  diverges.

Topic: Multivariable Calculus