Given that
[tex] log_{4}(y - 1) + log_{4}( \frac{x}{2} ) = z \: \: and \: log_{2}(y + 2) + log_{2}(x) = z - 1 \: show \: that \: {y}^{2} = 1 + {8}^{z} \: and \: find \: the \: values \: of \: y \: and \: x [/tex]
when z = 1

Answers

Answer 1

Answer:

Gracias por los puntos

Bye :v


Related Questions

I need help ASAP thank you guys

Answers

Answer:

The fraction is undefined when x=-2

Step-by-step explanation:

The fraction will be undefined when the denominator is zero

x+2 = 0

x+2-2 = 0-2

x = -2

The fraction is undefined when x=-2

Answer:

as to me 5

Step-by-step explanation:

ask someone else to say that I am not sure if you have any questions or need any further information please contact me at the end of the world

London bought snacks for her team's practice. She bought a bag of apples for $2.25
and a 18-pack of juice bottles. The total cost before tax was $9.63. Write and solve an
equation which can be used to determine j, how much each bottle of juice costs?

Answers

Answer:

j = $7.38 / 18

Step-by-step explanation:

1. We have to find the total cost of a 18 juice bottles pack

= $ 9.63 - $ 2.25

= $ 7.38

2. To find how much each bottle of juice costs :

j = $ 7.38 / 18 #

Can someone please help me with this

Answers

Answer:

d

Step-by-step explanation:

h

Angelica’s bouquet of dozen roses contains 5 white roses. The rest of the roses. What fraction of the bouquet is pink? There are 12 roses in a dozen

Answers

Answer:

7/12

Step-by-step explanation:

total: 12 roses

white roses: 5

pink roses: 7

fraction of pink roses = 7/12

The train station clock runs too fast and gains 5 minutes every 10 days. How many minutes and seconds will it gain in 7 days

Answers

Answer: 210 secs (3 mins, 30 secs)

Step-by-step explanation:

No of minutes gained every 10 days = 5 mins

No of minutes gained every day = 5 ÷ 10

                                                      = 0.5 min (30 secs)

Amount of time gained in 7 days = 30 secs × 7

                                                       = 210 secs (3 mins, 30 secs)

(A) The weight of cans of vegetables is normally distributed with a mean of 1380 grams and a standard deviation of 80 grams. What is the probability that the sample mean of weight for 15 randomly selected cans is more than 1410

Answers

Answer:

7.35%

Step-by-step explanation:

μ = 1380

σ = 80  

n = 15  

P(x>1410)  

= (1410-1380)/((80)/(sqrt(15)))

= 1.4524  

P(z>1.4524) = 0.4265  (from the graph)

P(z>1.4524) = 0.5 - 0.4265 = 0.0735

Sandra ride her bike 5 times as many miles as Barbara. If b, the distance Barbara rode equals 3.4 miles what is the correct expression and the distance Sandra rode

Answers

Answer:

b + 5; when b = 3.4 the distance Sandra rode is 17 miles.

Step-by-step explanation:


Compose an expression to find the 20th term of any arithmetic sequence in terms of just a and d. Look at the pattern in
part A with the first three terms to help you.
20th term:

Answers

Answer:

Hello,

Step-by-step explanation:

u(i) is the ith term of the a.s

a is the first term and d the common difference

for n in {1,2,3...}: u(n)=a+(n-1)*d

u(1)=a+0*d=a

u(2)=u(1)+d=a+d=a+1*d

u(3)=u(2)+d=a+1*d+d=a+2*d

...

u(20)=a+19*d

Answer:

a+19d

Step-by-step explanation:

edmentum

Find the center and radius of the circle. Write the standard form of the equation.
(1,6) (10,6)

Answers

Answer:

Centre, ((1+10)/2,(6+6)/2)

or, (11/2,12/6)

or, (5.5,6)

Radius,

[√{(10-1)²+(6-6)²}]/2

= (√81)/2

= 9/2 = 4.5

(x-11/2)²+(y-6)²=20.25

HELP PLEASE ASAPPPP!!

Answers

Answer:

12

Step-by-step explanation:

(10/y + 13) -3

Let y=5

(10/5 + 13) -3

PEMDAS says parentheses first

(2 +13) -3

15 -3

12

âClaim: Most adults would erase all of their personal information online if they could. A software firm survey of 551 randomly selected adults showed that 50.4â% of them would erase all of their personal information online if they could. Make a subjective estimate to decide whether the results are significantly low or significantlyâ high, then state a conclusion about the original claim.

Answers

Look at the file, it has every bit of the answer

Nadira owns a clothes shop.
The pictogram shows the number of skirts that were sold each day in one week.

On which day were most skirts sold?

Answers

Answer:

Friday

Step-by-step explanation:

you need to count the number of circles, the half circle represents 5 skirts

Answer by Gauthmath

Friday because it’s the biggest

Help me please
Hurry

Answers

For all questions, use the concept of angles at a point (360°).

I also suggest and recommend that you specify the questions you need help with. It is best if you don't ask your homework here, because homework should be done by you yourself.

I need help ASAP please

Answers

Answer:

5:10

6 (-2,0)

7 (-5,6)

8 (5,3)

9 No, ab=8 CD=6

Step-by-step explanation:

Wires manufactured for use in a computer system are specified to have resistances between 0.14 and 0.16 ohms. The actual measured resistances of the wires produced by company A have a normal probability distribution with mean 0.15 ohm and standard deviation 0.005 ohm. (Round your answers to four decimal places.) (a) What is the probability that a randomly selected wire from company A's production will meet the specifications

Answers

Answer:

Hence the probability that a randomly selected wire from company A's production will meet the specifications is 0.95455.

Step-by-step explanation:

a)[tex]P(0.14 < x < 0.16 ) = P[(0.14 - 0.15)/ 0.005) < (x - \mu) /\sigma < (0.16 - 0.15) / 0.005) ][/tex]

[tex]=P(0.14 < x < 0.16 ) = P[(0.14 - 0.15)/ 0.005)< ((x - 0.15) /0.005) < (0.16 - 0.15) / 0.005) ][/tex]

[tex]=P(z<\frac{0.01}{0.005} )- P(z<-\frac{0.01}{0.005})[/tex]  

Using z table,  

= 0.9773 - 0.02275  

= 0.95455.

A tour bus is traveling along a triangular path. The three straight lines form a right triangle. One leg of the triangle represents a distance of 8 miles. The other leg of the triangle is 4 miles shorter than the hypotenuse. What is the length of the hypotenuse of this​ triangle? Of the other​ leg?

Answers

Answer:

Hypotenuse=10 miles.

Short leg=6 miles.

Step-by-step explanation:

Set up triangle, leg 8 miles, hypotenuse x miles, short leg x-4 miles.Input into Pythagoras theorem.Simplify.

A health club sold ten memberships in one week for total of $3000. If male memberships cost $300 and female memberships cost $300, then how many male memberships and how female memberships were sold?

Answers

Answer:

Step-by-step explanation:

The reason you haven't gotten an answer to this is because in its current formatting, there is no answer. Here's what I mean:

The first equation is going to be concerning the NUMBER of memberships sold, where m is male and f is female. The total number of memberships was 10:

m + f = 10

Now for the money equation. The total amount of money made from that number of memberships was 3000, where male memberships cost $300 and so do the female memberships, giving us an equation of

300m + 300f = 3000

Go back to the first equation and solve for either m or f. I solved for m in terms of f:

m = 10 - f and sub that into the second equation for m to get:

300(10 - f) + 300f = 3000 and

3000 - 300f + 300f = 3000. Here is where you find the problem. The -300f and the 300f cancel each other out, leaving you with the fact that

3000 = 3000 which it does, but it doesn't give us any viable answer.

I would have to say that since we can't do math on this, that the most credible answer you'll find is that the same number of male and female memberships were sold because 5 male memberships cost $1500 (5 memberships at $300 a piece is $1500) and 5 female memberships also cost $1500.

1500 + 1500 = 3000

Michelle ate a watermelon with 81 seeds. She picked out 1/9 of all the seeds to plant in her backyard. But her mother said there is no room for that many watermelon plants, so her mom only let her plant 1/3 of the seeds she had chosen. How many watermelon seeds was she allowed to plant in her backyard?

Answers

9514 1404 393

Answer:

  3

Step-by-step explanation:

1/3 of 1/9 of 81 is ...

  81×1/9×1/3 = 9×1/3 = 3

Michelle was allowed to plant 3 seeds.

Please help me!
14
33
46
60
200

Answers

Answer:

46

Step-by-step explanation:

200/2 = 100, and the x coordinate that line up with the y-coordinate of 100 is 46.

Each machine at a certain factory can produce 90 units per hour. The setup cost is 20 dollars for each machine and the operating cost is 26 dollars per hour (total, not 26 dollars per machine per hour). You would like to know how many machines should be used to produce 40000 units, with the goal of minimizing production costs.
First, find a formula for the total cost in terms of the number of machines, n:_______
TC = ______
machines for a total cost of The minimum total cost is achieved when using dollars.

Answers

Answer:

a)  [tex]Total Cost=20n+\frac{(\frac{40000}{90}*26)}{n}[/tex]

b)  [tex]n=24[/tex]

Step-by-step explanation:

From the question we are told that:

Rate r=90 units per hour

Setup cost =20

Operating Cost =26

Units=40000

Generally the equation for Total cost is mathematically given by

[tex]Total Cost=20n+\frac{(\frac{40000}{90}*26)}{n}[/tex]

[tex]T_n=20n+\frac{11556}{n}\\\\T_n=\frac{20n^2+11556}{n}.....equ 1[/tex]

Differentiating

[tex]T_n'=\frac{n(40n)-(40n^2+11556)}{n_2}\\\\T_n'=\frac{20n^2-11556}{n^2}.....equ 2[/tex]

Equating equ 1 to zero

[tex]0=\frac{20n^2+11556}{n}[/tex]

[tex]n=24[/tex]

Therefore

Substituting n

For Equ 1

[tex]T_n=\frac{20(24)^2+11556}{24}[/tex]

F(n)>0  

For Equ 2

[tex]T_n'=\frac{20(24)^2-11556}{24^2}[/tex]

F(n)'<0

Lactation promotes a temporary loss of bone mass to provide adequate amounts of calcium for milk production. A paper gave the following data on total body bone mineral content (TBBMC) (g) for a sample both during lactation (L) and in the postweaning period (P).

Subject
1 2 3 4 5 6 7 8 9 10
L 1928 2549 2825 1924 1628 2175 2114 2621 1843 2541
P 2126 2885 2895 1942 1750 2184 2164 2626 2006 2627

Required:
a. Does data suggest that true average total body bone mineral content during postweaning exceeds that during lactation by more than 25 g? State and test the appropriate hypotheses using a significance level of 0.05. [Note: The appropriate normal probability plot shows some curvature but not enough to cast substantial doubt on a normality assumption.]

b. Calculate a lower confidence bound using a 95% confidence level for the true average difference between TBBMC during postweaning and lactation.

Answers

Answer:

- 179.981

Step-by-step explanation:

The hypothesis :

H0 : μL - μP ≥ 25

H0 : μL - μP < 25

The sample mean difference ;Xd

d = L - P

Xd = Σd/n

d = -198,-336,-70,-18,-122,-9,-50,-5,-163,-86

Xd = - 1057 / 10

Xd = - 105.7

Using calculator ;

Standard deviation of difference, Sd = 103.845

The test statistic :

T = Xd ÷ (Sd/√n)

T = -105.7 ÷ (103.845/√10)

T = - 3.219

Decision region :

Reject H0 ; If Pvalue < α

The Pvalue : df = n - 1 ; 10 - 1 = 9

Pvalue(-3.219, 9) ; two-tailed = 0.00525

Hence, reject H0

B.) The confidence interval for difference in mean :

Xd ± Tcritical[Sd/√n]

Tcritical at 95%, df = 9

Tcritical = 2.262

C.I = -105.7 ± 2.262[103.845/√10]

C.I = -105.7 ± 74.281076

Lower boundary: - 105.7 - 74.281076 = - 179.9810

Differentiate the x the function :
(3x² - 9x +5²)

Answers

Firstly , before solving the equation , we should know about the chain rule and its formula.

Formula For the Chain rule-

$\rightarrow$ $\sf\dfrac\pink{dy}\pink{dx}$=$\sf\dfrac\pink{dy}\pink{du}$ $\times$ $\sf\dfrac\pink{du}\pink{dx}$ $\leftarrow$

_____________________________

$\sf\huge\underline{\underline{Question:}}$

$\sf\small{Differentiate\: x\: the \:function: (3x² - 9x + 5²)}$

$\sf\huge\underline{\underline{Solution:}}$

$\sf{Let\:y = (3x^2 - 9x + 5)^9}$

$\space$

☆ Differentiating both the sides w.r.t.x using chain rule-

$\mapsto$ [tex]\sf\dfrac{dy}{dx}=[/tex][tex]\sf\dfrac{d}{dx}[/tex][tex]\sf{(3x^2 - 9x + 5)^9}[/tex]

$\space$

$\space$

$\mapsto$ [tex]\sf\dfrac{dy}{dx}[/tex]=[tex]\sf{9(3x^2-9x+5)^8}[/tex] [tex]\times[/tex] [tex]\sf\dfrac{d}{dx}[/tex]$\sf\small{(3x^2-9+5)}$

$\space$

$\space$

$\mapsto$ [tex]\sf\dfrac{dy}{dx}[/tex]=[tex]\sf{9(3x^2-9x+5)^8}[/tex] [tex]\times[/tex][tex]\sf(6x-9)[/tex]

$\space$

$\space$

$\mapsto$ [tex]\sf\dfrac{dy}{dx}[/tex]=[tex]\sf{9(3x^2-9x+5)^8}[/tex] $\times$ [tex]\sf{3(2x-3)}[/tex]

$\space$

$\space$

$\mapsto$ [tex]\sf\dfrac{dy}{dx}[/tex]=[tex]\sf{27(3x^2-9x+5)^8(2x-3)}[/tex]

$\space$

$\space$

$\sf\underline\bold\green{❍ dy:dx=27(3x^2-9x+5)^8(2x-3)}$

______________________________

find the area and perimeter please

Answers

Answer:

the area is 740 cm and the perimeter is 148

i would like some help please i am stuck ​

Answers

Answer: -2(d) is the answer.

Step-by-step explanation:

x1 = 3

y1 = -5

x2 = -2

y2 = 5

slope (m) = rise/run = (y2 - y1)/(x2-x1)

                                =(5-(-5))/(-2-3)

                                 =   10/-5

                                 = -2

Find the function G defined by G(x) =5x+3 find G(-1)

Answers

Answer:

G(-1) = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Functions

Function Notation

Step-by-step explanation:

Step 1: Define

Identify

G(x) = 5x + 3

Step 2: Evaluate

Substitute in x [Function G(x)]:                                                                         G(-1) = 5(-1) + 3Multiply:                                                                                                             G(-1) = -5 + 3Add:                                                                                                                   G(-1) = -2

Answer:

G = -2

Step-by-step explanation:

Plug in -1 for x.

5(-1) + 3

-5 + 3

-2

G = -2

Solve for x.
A. 1
B. 5
C. 3
D. 12

Answers

9514 1404 393

Answer:

  A.  1

Step-by-step explanation:

Arc AB is twice the measure of the angle ABC. The sum of the arc measures around the circle is 360°.

  2(43x)° +(272x +2)° = 360°

  358x +2 = 360 . . . . . . . . . . . . divide by °, collect terms

  358x = 358 . . . . . . . . subtract 2

  x = 1 . . . . . . . . . . divide by 358

100 divided by 200-3+1000=

Answers

Answer:

997.5 is the answer to your question..

I need help please IVE BEEN AT THIS FOREVER

Answers

Answer:

.3

Step-by-step explanation:

Take path A = .5

Then Path D = .6

P(a and D) = .5 *.6 = .3

(03.04) Use the graph below for this question: What is the average rate of change from x = −3 to x = 5? (1 point)
A.−1
B.0
C.1
D.8

Answers

Answer:

B. 0

Step-by-step explanation:

Rate of change from x = -3 to x = 5

Rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]

where, from the graph, we have:

a = -3, f(a) = -1,

b = 5, f(b) = -1,

Plug in the values

Rate of change = [tex] \frac{-1 -(-1)}{5 - (-3)} [/tex]

Rate of change = [tex] \frac{0}{8} [/tex]

Rate of change = 0

Solve the equation Axb by using the LU factorization given for A. Also solve Axb by ordinary row reduction. A ​, b Let Lyb and Uxy. Solve for x and y. nothing nothing Row reduce the augmented matrix and use it to find x. The reduced echelon form of is nothing​, yielding x nothing.

Answers

Answer: Hello your question is poorly written attached below is the complete question

answer:

[tex]y = \left[\begin{array}{ccc}-4\\-11\\5\end{array}\right][/tex]

[tex]x = \left[\begin{array}{ccc}16\\12\\-40\end{array}\right][/tex]

Step-by-step explanation:

[tex]y = \left[\begin{array}{ccc}-4\\-11\\5\end{array}\right][/tex]

[tex]x = \left[\begin{array}{ccc}16\\12\\-40\end{array}\right][/tex]

attached below is the detailed solution using LU factorization

Other Questions
Nate borrowed $38,672 from bank and his friends to expand his casino business. Nate set up an aim to pay $2,450 at the end of each week for 16 weeks. Assume each year has 52 weeks. What are the nominal rate per year and the effective interest rate per year? The polygons in each pair are similar. find the missing side length A housecleaning agency was given a key to a customer's house so that the agency could have its employees clean while the homeowner was away. After a maid sent by the agency had finished and left the homeowner's house, she went back because she had forgotten her cigarettes. She neglected to lock the door when she left the second time because she was already late for the next job. When the homeowner returned after a few days away, she discovered that her house had been ransacked and several items of jewelry stolen. The front door was open, and there were no signs of forced entry. If the homeowner brings an action against the agency that employed the maid, what is the likely result Look at your highlighting and the notes you made in your notebook. How does Stanton use logos, ethos, and pathos in the excerpt?Answer: PlatoStanton makes appeals to the statesmens sense of ambition when she suggests that they would like see their names on the page of historyIn an extended metaphor, Stanton compares slavery to war to logically demonstrate why peace activists should support abolition.Stanton uses old-fashioned phrases (even for 1850), such as ye who have labored long and yea, they are a part of, which would remind her largely Christian audience of biblical language. This strategy would help build her ethos. The problem solving plan identifies steps to organize your information. Which of the following answer choices are included in the steps to organize your information? A. Organize the problem and find the question. B. Solve the problem and change your strategy if necessary. C. Write the facts, organize your thoughts and define your strategy. D. Organize the steps and underline the question. Read and choose the option with the correct conditional tense of the verb to complete the sentence.Yo ________ con esa muchacha linda si fuera atrevido. (1 point)hablarashablabahablarahablabas cho f(t)=(t-4)u(t-2)phep bien doi laplace laF(s)=e^-2s/s^2-2e^-2s/s62 SEE QUESTION IN IMAGE If it is it the state who is targeting a group of people, what recourse do they have to achieve justice? Find the missing side. Round to the nearest tenth Magazine sells subscriptions for for issues. The company collects cash in advance and then mails out the magazines to subscribers each month. Apply the revenue recognition principle to determine a. when Magazine should record revenue for this situation. b. the amount of revenue Magazine should record for issues. a. Seacoast Magazine should record revenue whe DiceThread OneVT5 - Hablemos de comidaLet's talk about food: Talk about what your favorite meal is, what you like to eat in each meal, what is your favorite dish, and some other information that youwould like to add about food. Follow the instructions, and use the sample questions if you need them to create your speech. at least 40 SECONDS. the most funny answer will get brainliest have fun!get your points (; Suppose that XYZ Company hires labor and capital in competitive input markets. Assume that labor costs $200 per day and that a unit of capital costs $150 per day. At the current level of production, labor's marginal product is 40 units of output produced per day and capital's marginal product is 30 units of output per day.a) Given the information provided, is the firm minimizing the cost of current production? Explain why or why not.b) If the daily wages were to increase, explain the long run adjustments that the firm would likely make in response to the wage increase. Supervisor: In general, half of all customers you speak to will ask about any upcoming pricing discounts or promotions. Of those who do ask, only 20% qualify for the discount. Employee: So that means if I speak to 300 customers, __________ will qualify for the discount. describe why heart failure is so often referred as "congestive" heart failure ? Article about women bodies What effect can changing a story's order of events or pacing have?A. Either of these changes can build tension and suspense.B. Either of these changes can make the story more believable.C. Either of these changes can add characters to the story.D. Either of these changes can add the author's opinion. What does the irony in these excerpts from In Another Country by Ernest Hemingway convey? On August 1, Batson Company issued a 60-day note with a face amount of $49,800 to Jergens Company for merchandise inventory. (Assume a 360-day year is used for interest calculations.) a. Determine the proceeds of the note assuming the note carries an interest rate of 8%. fill in the blank 1 b. Determine the proceeds of the note assuming the note is discounted at 8%.