1. Write the equation of a line through the points (-4,7) and (-6,2). 2. Write the equation of a line through the points (2,-9) and (2,6) 3. Write the equation of the line perpendicular to the line in #1 with the same x-intercept

Answer:

Use properties of log:

Statements:

log₃ (vw/x) = log₃ vw - log₃ x = log₃ v + log₃ w - log₃ x

log₄ n + 3 log₄ m = log₄ n + log₄ m³= log₄ (nm³)

1/3(log₂ c + log₂ d) - 4 log₂ e = log₂ c[tex]^{1/3}[/tex] + log₂ d[tex]^{1/3}[/tex]  - log₂ e⁴= log₂ (c[tex]^{1/3}[/tex] d[tex]^{1/3}[/tex] /e⁴)

Answer:

5 hours

Step-by-step explanation:

First, you set the equations equal, so 20h=17h+15

Second, you isolate the h, so you would subtract 17h from both sides, giving you 3h=15

Last, you divide both sides by 3 giving you h=5, meaning the companies charge the same price after 5 hours.

Answer:

5 hours

Step-by-step explanation:

Answer:

The answer is attached. Somehow the platform does not allow me to enter the same answer here.

Answer:

0.1414... in a fraction is 14/99

Step-by-step explanation:

Given the number 0.1414...

we have to represent the above in terms of fraction

Let x=0.1414....  →  (1)

Multiplying by 100 on both sides

100x=14.1414....     → (2)

Subtract (1) from (2), we get

99x=14

x=14/99

hence, 0.1414... in a fraction is 14/99

Answer:72.5

Step-by-step explanation:

On delta

Answer:

Step-by-step explanation:

That would be 23 - 50, or -27.

Next time, please include the answer choices.  Thank you.

Answer:

2  1/2

Step-by-step explanation:

30/ (5+7)

solve using system of operations

PEMDAS

Parenthesis

Exponent

Multiplication/Division

Addition/Subtraction

30/(5+7)

parenthesis first so

5+7 = 12

30/12

then division

30/12= 2  6/12

6/12 can be simplified by 6 so

6/6 = 1 and 12/6 = 2

So your answer would be 2  1/2

The quotient of 30 and the sum of 5 and 7 is 2.5

From the question we are to write the information as an expression:

Simplify the result

[tex]\frac{30}{5+7} =\frac{30}{12} = 2.5[/tex]

Hence  the quotient of 30 and the sum of 5 and 7 is 2.5

Learn more on quotient here: https://brainly.com/question/11418015

Answer:

The mean is 65 and the median is 70.

Step-by-step explanation:

Answer: 34 in^3

Step-by-step explanation:

Surface area of triangle = 1/2 x  3.4 x 2.5 = 4.25

To find the volume of the prism, multiply the surface area of the triangle by length.

So 4.25 x 8 = 34 in^3

Answer:

45  degrees

Step-by-step explanation:

Have a grate Day :)

Answer: I'm pretty sure it's 25

Step-by-step explanation:

Use Pythagorean theorem to find diagonal.

Answer:7

Step-by-step explanation:

Answer:

I shall help

Step-by-step explanation:

11. The answer is 96 because 12 times 8 is 96

12. The answer is B.

13. The answer is also B because you need to count. BIG BRAIN

14 The answer is 8.

Next time please think a little harder

BRain;liest pls

Answer:

Disadvantage debit card.

Step-by-step explanation:

I hope this helps!

x= (11+b)+5

Hope this helps

Answer:

14 times

Step-by-step explanation:

9+11+7+9+7+7=50 times

When the spinner is spun if 5 is picked 7 times out of 50

50*2=100 so you must do 7*2

7*2=14

14 times

And....?

There's not enough info for me to answer.

Answer:

D) infinitely many solutions.

Step-by-step explanation:

1) Cancle 4y on both sides.

[tex]7 = 5 + 2[/tex]

2) Simplify 5 + 2 to 7.

[tex]7 = 7[/tex]

3) Since both sides equal, there are infinitely many solutions.

hence, the answer is option D) infinitely many solutions.

Answer:

66m

Step-by-step explanation:

9+3+16+3+5+12+10+s

the s would 8 because

12+5 is 17

17-9 would be 8 so we would add 8.

9+3+16+3+5+12+10+8

Answer:

66 m

Step-by-step explanation:

We know that Perimeter is sum of all the sides of any triangle / quadrilateral / polygon . Here we see that that the side lenght are ,

8cm , 10cm , 12cm , 3m , 5m , 16m ,9m , 3cm .

On adding these , we will get Perimeter .

⇒ P = 8cm + 10cm + 12cm + 3m + 5m + 16m + 9m + 3m

⇒ P = 66m

Answer:

( -9, -6)

Step-by-step explanation:

The red dot is the original (6, 9)

The blue dot is when it is rotated 270 degrees clockwise (-9, -6).

Answer:a)

a) 68%

b) 44%

Step-by-step explanation: a) (51+51)/150 × 100 = 102/150 × 100

= 17/25 × 100

= 68%

Answer:

1 1/30

Explanation:

we know that 0.3 (recurring) is equivalent to ⅓. thus, we can find 0.03 (recurring) by adding an extra decimal behind the denominator to get 1/30.

accounting for the 1, we can now get 1 1/30.

i hope this helps! :D

Answer:

12/7

Step-by-step explanation:

5/3x+10/7=30/7

5/3x=30/7-10/7

5/3x=20/7

x=(20/7)/(5/3)

x=(20/7)(3/5)

x=60/35

simplify

x=12/7

Answer:

x = 105

Step-by-step explanation:

Let the unknown (missing) number be x.

In Mathematics, quotient simply means division i.e to divide a number by another.

Thus, translating the word problem into an algebraic expression, we have;

[tex] \frac{x}{7} - 5 = 10 [/tex]

To find the value of x, we would simplify the algebraic expression.

[tex] \frac{x}{7} = 10 + 5 [/tex]

[tex] \frac{x}{7} = 15 [/tex]

Cross-multiplying, we have;

[tex] x = 15 * 7 [/tex]

x = 105

Answer:

2/3

Step-by-step explanation:

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

(-4,2) = (x1,y1)

(-16,-6) = (x2,y2)

Slope = [tex]\frac{-6-2}{-16+4}[/tex]

          = [tex]\frac{-8}{-12}[/tex]

          = [tex]\frac{2}{3}[/tex]

Answer:

Step-by-step explanation:

i got it wrong and it showed this instead

a-0.23125

b-720

The required,
(a) The experimental probability that a randomly selected worker at that company walks to work is approximately 0.23125 or 23.125%.

(b) we can predict that about 762 of the 3300 workers at the company walk to work.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

a. The experimental probability of a randomly selected worker at that company walking to work can be calculated as the ratio of the number of workers who walk to work to the total number of workers surveyed:

Experimental probability = Number of workers who walk to work / Total number of workers surveyed

Experimental probability = 37 / 160

Experimental probability = 0.23125 or 23.125%

Therefore, the experimental probability that a randomly selected worker at that company walks to work is approximately 0.23125 or 23.125%.

b. To predict about how many of the 3300 workers at the company walk to work, we can use the experimental probability calculated above to estimate the number of workers who walk to work out of the total number of workers:

Number of workers who walk to work = Experimental probability x Total number of workers

Number of workers who walk to work = 0.23125 x 3300

Number of workers who walk to work = 762.375

Therefore, we can predict that about 762 of the 3300 workers at the company walk to work.

Learn more about probability here:

brainly.com/question/14290572

#SPJ2

Answer:

g(x) = x² - 3

Step-by-step explanation:

When doing a, h, and k, there are different stanoints to each of the variables.

in this case, since we are shifting down, we use k

we are moving 3 units down so we subtract 3 with no parentheses

so g(x) = x² -3

The translating function is g(x) = ( x+ 3)².

In mathematics, a translation is the movement of a shape to the left or right and/or up or down. The translated shapes appear to have the same size as the original shape, and hence the shapes are congruent. They were simply relocated in one or more directions. There is no change in the shape because it is just moved from one location to another.

We have function,

f(x) = x²

and, g(x) = a horizontal translation of 3 units left.

Now, we have to subtract 3 from the x coordinate of g(x).

So, g(x) = f(x-h) where h = -3.

Thus, the translating function is g(x) = ( x+ 3)².

Learn more about Translation here:

https://brainly.com/question/17592356

#SPJ5