Express as single logarithm.
1/2 log (x) - 2 log (2y) + 3 log (z)

to check what type of conic it may be, we first check the squared variables, their coefficents and sign.

in this case 2x² and 5y² are both positive, that means we have either an ellipse or a circle.

if the coefficients are equal, boinggggg! we have a circle, or if you wish an ellipse with equal axes.

if the coefficients are different, like in this case, we have an ellipse.

Answer:

photo

Step-by-step explanation:

Using the slope concept, it is found that the distance traveled from point A to point B was of 12060.8 ft.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

At point A, the vertical change is of 7225 feet, with an angle of 19º, hence:

[tex]\tan{19^\circ} = \frac{7225}{x_A}[/tex]

[tex]x_A = \frac{7225}{\tan{19^\circ}}[/tex]

[tex]x_A = 20982.9[/tex]

At point B, the vertical change is of 7225 feet, with an angle of 39º, hence:

[tex]\tan{39^\circ} = \frac{7225}{x_B}[/tex]

[tex]x_B = \frac{7225}{\tan{39^\circ}}[/tex]

[tex]x_B = 8922.1[/tex]

The distance in feet is given by:

[tex]d = x_A - x_B = 20982.9 - 8922.1 = 12060.8[/tex]

More can be learned about the slope concept at https://brainly.com/question/18090623

Answer:

Step-by-step explanation:

answers:      x = 7

    x = -6

let me know if you need anymore help.

mark me brainliest please.

Answer:

10⁵ / 10³ = 10^(5-3)= 10²

while diving the power gets subtracted if they have same base

Answer:

[tex]\text { The volume }=288 \mathrm{ft}^{3}[/tex]

Step-by-step explanation:

let V be the volume of the prism

    B The area of the base which is a triangle

    h is the height of the prism

______

Formula:

V = B × h

________

[tex]\begin{aligned}B &=\frac{9 \times 4}{2} \\&=\frac{36}{2} \\&=18\end{aligned}[/tex]

h = 16

Now we calculate:

[tex]\begin{aligned}V &=B \times h \\&=18 \times 16 \\&=288\end{aligned}[/tex]

Step-by-step explanation:

she played for about 1 hour 29 minutes

Answer:

1 hour and 29 minutes or 89 minutes

Answer:

Step-by-step explanation:

Rotate triangle DEF 90° and translate it up 1 point, and left 2 points.

Answer:

pi/4

Step-by-step explanation:

diameter of the circle is 2
area of circle = pi * r^2
A = pi * 1^2
A = 1pi
1/4th of the area so
pi/4

Answer:

y=x-6

Step-by-step explanation:

Answer:

Search it up on the internet

Step-by-step explanation:

hope this helps

Answer:

8 cm

Explanation:

A = 1/2 × b × h.

28 = 1/2*b*7

56=7b

8=b

Answer:

16000280

Step-by-step explanation:

hope this helps.

89.09% of books will weigh 11 pounds or more, then the number of books will be 129.

The z-score is a numerical measurement used in statistics to refer to how much a given value differs from the standard deviation.

The weights of books in a bookcase are normally distributed with a mean of 11.6 pounds and a standard deviation of 1.3 pounds. There are 136 books on the bookshelf.

Then the z-score when the books will weigh 11 pounds or more will be

[tex]z= \frac{11-13.5}{2.3} \\\\z= -1.0869[/tex]

Then the probability will be

[tex]P(x > 11) = 1-P(x < 11 ) = 0.8909[/tex]

89.09% of books will weigh 11 pounds or more, then the number of the books will be

=145 × 0.8909

=129.1805 ≈ 129

More about the z-score link is given below.

brainly.com/question/15016913

#SPJ1

Answer:

It will gain $120, making it $620 in all.

Step-by-step explanation:

A = 500(1 + (0.06 × 4)) = 620

Did I read your handwriting correctly? Is this what you wrote? If so the answer is:

[tex](x( {x}^{2} - 2xy - {y}^{2} ) \div (x + y)(x - y)^{2} [/tex]

Answer:

A) 38,000

B) 28.6%

Step-by-step explanation:

Answer:

1st option

Step-by-step explanation:

A verical line parallel to the y- axis has equation

x = c ( c is the value of the x- coordinates the line passes through )

thus the x- coordinates are the same

Answer:

b they are perpendicular

Step-by-step explanation:

they intersect each other at point D

Answer:

#1: 4) D

#2: 1) 34.89 = 3 × C

#3: 4) 6y + 18

Step-by-step explanation:

#1

Using the distributive property:

3 × 5z = 15z

3 × -3 = -9

The correct expression is 15z - 9. Hence, D is the right option.

#2

You need to find the cost of each box.

3 × C = 34.89

34.89 ÷ 3 = 11.63

3 × 11.63 = 34.89

Hence, 1) is the right option.

#3

Using the distributive property:

6 × y = 6y

6 × 3 = 18

The expression is 6y + 18. Hence, 4) is the right option.

hope this helps!! p.s. i really need brainliest :)

Answer:

1. #4, D

2. #1, 34.89 = 3 x c

3. #4, 6y + 18

Step-by-step explanation:

1. Which pair of expression are equivalent (=)?

A.

10c + 20 = 5(5c + 4) <== distribute

10c + 20 = 25c + 20

This pair is not equivalent

B.

3(4e -  2) = 7e - 5 <== distribute

12e - 6 = 7e - 5

This pair is not equivalent

C.

4(4h + 6) = 16 + 24 <== distribute

16h + 24 = 16 + 24

This pair is not equivalent (look carefully, it's missing an h)

D.

15z - 9 = 3(5z - 3) <== distribute

15 - 9 = 15z - 3

This pair is equivalent

Therefore, the correct answer is D

2. Mr. James bought 3 boxes of pencils for $34.89. Each box of pencils costs the same. Which equaiton can be used to find the cost, c, of each box?

We know that 3 boxes of pecils cost $34.89, and c represents the cost of one box. If c represents the cost of one box and there are 3 boxes, it would be 3c or 3 x c.

Looking at the answer choices, #1 is the only option that represents that.

Therefore, the correct answer is 1) 34.89 = 3 x c

3. Aidan wrote an expression 6(y + 3). Which expression is equivalent to the one Aidan wrote?

6(y + 3) <== distribute

6y + 18

Therefore, the answer is 4) 6y + 18

Hope this helps!

Answer:

y=4

Step-by-step explanation:

The question is asking what is the value of y:

Since all lengths have a dash on them they are all equal :

So 3y = y+8

3y = y + 8

First we subtract y from both sides:

3y-y = y+8-y

2y = 8

Divide both sides by 2:

2y÷2 = 8÷2

y = 4

Answer:

Step-by-step explanation:

The question is asking you to find the value of y in a square.

A square has same length in all sides so we can achieve that:

y+8 is equal to 3y

simplifying that, we find out the answer is 4. How?

We have previously acheived that:

y+8=3*y

So we need to find y using these steps:

1. Subtract 3y from both sides:

y+8−3y=3y−3y

−2y+8=0

2. Divide both sides by -2:

y=4

Answer:

x = 30

Step-by-step explanation:

2x - 6

-----------  =  9

    6

2x - 6

-----------  =  9(6)

    6(6)

2x - 6 = 54

     +6    +6

2x = 60

÷2    ÷2

x = 30

I hope this helps!

Two people, Anne and Charlie.

Given that Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn't have feature A, and you want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A ”, to determine what's the minimum number of people you have to ask and which people do you ask, the following calculation must be performed:

Of the 4 people, 1 is over 30 years old and another has feature A, with which both should be considered for the study, while the other two do not meet the requirements. So, these two people would be Anne and Charlie.

Learn more about statistics in https://brainly.com/question/8058700

Answer: b. At what rate of growth is the population growing each month?

Population

600

Step-by-step explanation:

Answer:

1.A 2.yes

Step-by-step explanation:

PEMDAS

Answer:

7 Days or X = 7

Step-by-step explanation:

Before we even attempt the problem, we need to craft our equation to work with…

- Multiply 0.09 x 500 = 45

- Now we know what out equation will be which is 45 + 56.37x < $440

- First subtract 45 from $440

- Then devide 45 from 440

- There you go we found the value of x

Final answer:

45 + 56.37(7) = 440

Answer Sentence: So Hawa has 7 day to cover 500ml

(Sorry if I’m wrong)

Answer:

2.083 g/[tex]cm^{3}[/tex]

Step-by-step explanation:

Density is mass / volume

volume = length * width * height

(In this case since iron is usually in a block unless stated otherwise)

100g / (2*4*6)cm^3 = density

100g / [tex]48 cm^{3}[/tex] = 2.083 g/[tex]cm^{3}[/tex]

Answer:

It depends how much percent the test is worth on your grade, and how much test grades you have. It would definitely raise to at least an 83 though.

Let's check

Total

Grade