prove that 1/log (xy)² +1/log(xy²) + log(xy³) =1 there base are x,y and z respectively.​

Answer:

x=1

You solve for x by cross multyplying

Answer:The answer is 4.9

Step-by-step explanation: Step 1: Calculate. We calculate the square root of 24 to be: √24 = 4.89897948556636.

Step 2: Reduce. 4.89.

Step 3: Round. Round 4.89 so you only have one digit after the decimal point to get the answer: 4.9.

Answer:

The length of segment QA when Q(-7,10) and A(3,4) is √136 or 11.66 units

Step-by-step explanation:

Given points are:

Q(-7,10) and A(3,4)

Here

[tex](x_1,y_1) = (-7,10)\\(x_2,y_2) =(3,4)[/tex]

The distance between two points is the length of the segment formed by those two points. The distance between 2 points is given by:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Putting the values

[tex]d = \sqrt{(3-(-7))^2+(4-10)^2}\\d = \sqrt{(3+7)^2+(-6)^2}\\d = \sqrt{(10)^2+(-6)^2}\\d = \sqrt{100+36}\\d = \sqrt{136}\\d= 11.66\ units[/tex]

Hence,

The length of segment QA when Q(-7,10) and A(3,4) is √136 or 11.66 units

Answer:

The answer is "[tex]\left[\begin{array}{c}7&-4&1&0\\\end{array}\right] , \left[\begin{array}{c}-6&2&0&1\\\end{array}\right][/tex]"

Step-by-step explanation:

Given value:

[tex]A= \left[\begin{array}{cccc}1&3&5&0\\0&1&4&-2\\\end{array}\right][/tex]

First you find the general Ax = 0 solution for the free variables.

[tex][A \ \ \ 0]= \left[\begin{array}{cccc}1&3&5&0\\0&1&4&-2\\\end{array}\right]\\\\ R_1\to R_1-3R_2\\\\= \left[\begin{array}{ccccc}1&0&-7&6&0\\0&1&4&-2&0\\\end{array}\right][/tex]

Its general solution is:

[tex]x_1 = 7x_3-6x_4,\ \ x_2=-4x_3+2x_4 \ \ with\ \ x_3, and \ x_4\ free. \ So,[/tex]

[tex]x=\left[\begin{array}{c}x_1&x_2&x_3&x_4\\\end{array}\right] = x_3\left[\begin{array}{c}7&-4&1&0\\\end{array}\right] + x_4\left[\begin{array}{c}-6&2&0&1\\\end{array}\right][/tex]

Null A is:  [tex]{\left[\begin{array}{c}7&-4&1&0\\\end{array}\right] , \left[\begin{array}{c}-6&2&0&1\\\end{array}\right] }[/tex]

Answer:

0.7 gal, 11/4 cup, 0.4 liters, 950 mL

(this should be about right, im sorry if its not 100% correct)

Answer:

8.4 hours

Step-by-step explanation:

Given that:

Speed of asteroid = 55000 miles/hr

Distance traveled by asteroid = 4.62 [tex]\times[/tex] [tex]10^5[/tex] miles

We are required to find here how many hours the asteroid will take to travel the given distance with the given speed.

Formula for speed can be given as following:

[tex]Speed = \dfrac{Distance}{Time}[/tex]

OR, the formula for time in terms of speed and distance can be given as following:

[tex]Time= \dfrac{Distance}{Speed}[/tex]

Putting the given values in the formula to find the Time:

[tex]Time= \dfrac{4.62\times 10^5}{55000}\\\Rightarrow \bold{Time = 8.4\ hours}[/tex]

Answer:

[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]

Step-by-step explanation:

The standard form for a polynomial equation in its factored form is:

[tex]f(x)=a(x-p)(x-q)...[/tex]

Where p and q are the zeros and a is the leading coefficient.

We know that the degree of the polynomial is 5.

We are also given roots at x=3 and x=-2. Hence, our factors are (x-3) and (x+2).

These have a multiplicity of two, so we will square them.

We also know that there is a root at x=4. Hence, the factor is (x-4). This has a multiplicity of 1.

Therefore, our polynomial is now:

[tex]f(x)=a(x-3)^2(x+2)^2(x-4)[/tex]

We know that the y-intercept is 12. Therefore, if we substitute in 0 for x, we should get 12 for y. Here, we are solving for our a. Therefore:

[tex]12=a(0-3)^2(0+2)^2(0-4)[/tex]

Evaluate:

[tex]12=a(9)(4)(-4)[/tex]

Evaluate:

[tex]-144a=12[/tex]

Divide both sides by -144:

[tex]a=-1/12[/tex]

Hence, our entire polynomial is:

[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]

Answer:

The awnser is D

Step-by-step explanation:

Edge 2020!

The loan option that has a 30 year period with the maximum down

payment the Williams can afford as well as a low rate is recommended.

Response:

The given information are:

The amount at which the Williams are buying the house = $323,000

Percentage of down payment he can afford = 10%

Required:

The loan with the lowest monthly payment.

Solution:

The lowest fixed monthly payment is given by the loans that have the

longest period in which to pay back the loan, which includes the options;

b. 30 year FHA, 3.5% down at a fixed rate of 6.25%

c. 30 year fixed, 20% down at a fixed rate of 5.75%

d. 30 year fixed, 10% down at a fixed rate of 6%

Given that the Williams can afford a 10% down payment, option b. and

option c are the possible options.

The interest rate for option b is higher and option b has a lower down

payment than the interest rate and down payment for option c.

Therefore;

The option that has the overall lowest monthly payment is option d.

Learn more about monthly payment for a loan here:

https://brainly.com/question/2371137

Answer:

10 meters per sec

Step-by-step explanation:

Answer:

10 meters per seconds.

Step-by-step explanation:

Answer: It is 10

Step-by-step explanation:

Two needed formulas,:

To find the area of a parallelogram, use

A = bh.

To find the area of a semicircle, use

Area = (πr^2)/2.

The area of the parallelogram is 11 x 32 or 352.

The two semicircle have the same measure.

The radius of the semicircle is (1/2)(16) or 8.

Area = (π8^2)/2

Area = 64π ÷ 2

A = 32π

There are two semicircle.

So, the area of both semicircle combined is

2(32π) or 64π.

Area of figure = 64π + 352.

Area of figure = 553.0619298304

We now round to the nearest tenths to get

Area of the figure = 553.06.

Answer:9

Step-by-step explanation: im not really sure I kinda just guess and check, so like, 2/3 times 3 is 6/3 which is 2. so 6/2 is 3. 3 times 3 is nine.

Answer:

10x³ + 12x² - 198x - 40

Step-by-step explanation:

Given parameters:

L(x) = 5x + 1

W(x) = 2x - 8

H(x)  = x + 5

Unknown:

Volume = ?

Solution:

The volume of the body;

      Volume  = L x W x H

Insert the parameters and solve;

      Volume  = (5x + 1)(2x - 8)(x + 5)

     Volume  = (10x² - 40x + 2x - 8)(x + 5)

     Volume = (10x² - 38x - 8 )(x + 5)

     Volume  = 10x³ - 38x² - 8x + 50x² - 190x - 40

     Volume  = 10x³ -38x² + 50x² - 8x - 190x - 40

    Volume  = 10x³ + 12x² - 198x - 40

Answer:

B

Step-by-step explanation:

correct on edge

The answer is, sin (2x)=4√21/25

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Here, given that,

sin(x)=2/5

and tan(x)>0

Then, cos(x)=√21/25

tan(x)=2/√21

Now, sin (2x)=2tan(x)/1+tan²(x)

                    =0.873/1.19

                    =0.733

                    =4√21/25

To learn more trigonometry click:

https://brainly.com/question/26719838

#SPJ2

Answer:

i

Step-by-step explanation:

i=√-1

Answer:

5?

Step-by-step explanation:

Answer:

25 miles

pls tell if I'm wrong

Answer:

Use the formula  

a n = a 1  r n  − 1

to identify the geometric sequence.

a n =  1.5 ⋅ 2 n − 1

Answer:

n x 2 = x

Step-by-step explanation:

This is the answer because:

1) 1.5 x 2 = 3

2) 3 x 2 = 6

3) 6 x 2 = 12

Therefore, the pattern in this sequence is n x 2 = x

Hope this helps!

Answer:

1. Expression: y = 235x

Answer: 1,175

2. The cost of the shirts is 5 dollars. Alex has 15 dollars in his wallet. He wants to buy 3 shirts. Write an expression that represents this problem.

Step-by-step explanation:

5. 235 per second

5 x 235 = 1,175

Expression: y = 235x

Answer:

The weights of ice cream cartons produced by a manufacturer are normally distributed with a mean weight of 10 ounces and a standard deviation of 0.5 oun

Answer:

65.75

Step-by-step explanation:

All you do is divide.

Answer:

65.75

Step-by-step explanation:

Please give me Brainlest!

Answer:

2 unit cubes of 7 units side length can fill the volume of the solid without overlap

Step-by-step explanation:

Volume of a cube is L^3

Let the number of cubes be n

Since the cubes are similar,

then;

nL^3 = 686

nL^3 = 343 * 2

By inspection

L^3 = 343 (since it is a perfect cube and the cube root is 7)

n = 2

Answer:

The probability of dealing with a straight from a deck of 52 cards = 0.00394

Step-by-step explanation:

An ace must occur to have a straight, the Ace can either be high or low which can appear at the beginning or near the end. The rank of straight for an ace to occur range from 2,3,4,5,6,7,8,9,10.

If a suit is already at hand, and we have the opportunity to select four suits.

The number of possible straight = 4⁵ × 10

= 10240

Thus, the probability to deal with a straight = [tex]\dfrac{10240}{^{52}C_5}[/tex]

The probability to deal with a straight = [tex]\dfrac{10240}{\dfrac{52!}{5!(52-5)!} }[/tex]

The probability to deal with a straight = [tex]\dfrac{10240}{\dfrac{52!}{5!(47)!} }[/tex]

The probability to deal with a straight = [tex]\dfrac{10240}{2598960}[/tex]

The probability to deal with a straight = 0.00394

Answer:

g^2 + 4 > -5

Step-by-step explanation:

sum implies addition so add it with 4

i can’t put the equal to thing on here but there is supposed to be a line under the greater than symbol

Answer:

[tex]g\geq +/- 3i[/tex]

Step-by-step explanation:

Using clues given in the problem, we can set up a solvable inequality.

A number g squared: [tex]g^{2}[/tex]

The sum of a number g squared and 4: [tex]g^{2}+4[/tex]

Is greater than or equal to: [tex]g^{2}+4\geq[/tex]

Greater than or equal to -5: [tex]g^{2}+4\geq-5[/tex]

Isolate [tex]g[/tex]:

[tex]g^{2}\geq -9[/tex]

Solve for [tex]g[/tex]:

[tex]\sqrt{g^{2}}\geq \sqrt{-9}[/tex]

This^ looks bad because of the negative, but as I'll show you in the next step it can be split up and you will use the value [tex]i[/tex], or [tex]\sqrt{-1}[/tex].

[tex]g\geq \sqrt{9} \sqrt{-1}[/tex]

[tex]g\geq +/-3i[/tex]

I hope this helps!

Answer:

- 5/6

- 1/3

Step-by-step explanation:

Answer:

A and F

Step-by-step explanation:

5/6 and 1/3

Answer:

The expected game value is -1 cent

Step-by-step explanation:

Here, we want to calculate the expected value of the game

We have 4 aces and 4 kings, including 26 red cards

The number of aces is 4

Probability of drawing an ace is 4/52 = 1/13

Probability of drawing a king is also 4/52 = 1/13

There are 26 red cards

The number of red cards that are neither ace nor king

There are 2 red aces and 2 red kings

So the number of cards that are red but are not

aces nor kings are 26-2-2 = 22

The probability of selecting this is 22/52 = 11/26

So the expected value is simply the probability multiplied by the amount

Thus, we have;

(60 * 1/13) + (30 * 1/13) + (5 * 11/26)

= 60/13 + 30/13 + 55/26

= (120 + 60 + 55)/26 = 9.038 cents which is approximately 9 cents

we subtract this from the 10 cents we are playing with, thus we are left with 9-10 = -1 cent