MATHEMATICS HIGH SCHOOL

6^4x-5=6^2x solve for “x”

Answers

Answer 1

Answer:

Answer:

x=1/252

x=0.00396825

Step-by-step explanation:

Hope this helped!!!

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What is the surface area of the prism? A. 180 in2 B. 204 in2 C. 120 in2 D. 192 in2

Answers

I believe from what i have learned from over the years that your answer should be c

1112
01:05:35
Line CD passes through points C(3, 5) and D(6, 0). What is the equation of line CD in standard form?
5x + 3y = 18
O 5x - 3y = 30
O 5x2y = 30
O 5x + y = 18
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Answers

Answer:

5x + 3y = 15

Step-by-step explanation:

As Line CD passes through points C(3, 5) and D(6, 0), x (the "run") increases by 3 and y (the "rise") decreases by 5. Thus, the slope of line CD is

m = rise / run = -5/3, and in slope-intercept form the following is true:

y = mx + b => 5 = (-5/3)(3) + b, or b = 5.

Then the equation of the line is y = (-5/3)x + 5. Converting this to standard form, we get:

3y = -5x + 15, or 5x + 3y = 15

HELP NO EXPLANATION NEEDED :)

Answers

Answer:

Step-by-step explanation:

E-Z View cable company charges a flat rate of $40 per month for service and $4.95 for each pay per view movie. View the Best charges a flat rate of $25 per month and $5.95 for each pay per view. Using the given equations, how many pay per views will generate equal monthly bills from the two companies?

Answers

E-Z View: 40 + 4.95x
View the best: 25 + 5.95x

Equal monthly bills:

40 + 4.95x = 25 + 5.95x

5.95x - 4.95x = 40 - 25

x = 15

Answer: 15

Final answer:

The number of pay-per-view movies that would generate an equal monthly bill from both E-Z View cable company and View the Best company is 15 movies. This is found by setting up and solving a linear equation based on the monthly charges of each company.

Explanation:

This question is about using linear equations to solve a real-world problem. Let's say 'x' is the number of pay-per-view movies. Therefore, we can form two equations:

E-Z View cable company: 40 + 4.95x = monthly cost
View the Best company: 25 + 5.95x = monthly cost.

To find the number of pay-per-view movies that would make the two monthly costs equal, set the two equations equal to each other and solve for x.

40 + 4.95x = 25 + 5.95x
Subtract 4.95x from both sides: 15 = 1x
So, '15' pay-per-view movies would generate equal monthly bills from the two companies.

Learn more about Linear Equations here:

brainly.com/question/32634451

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The sphere at the right fits snugly inside a cube with 18-in. edges. What is the approximate volume of the space between the sphere and cube?

Answers

Answer:

Step-by-step explanation:

We need to first find the volume of the cube, then subtract from it the volume of the sphere. This is what we are being asked to find. First, the volume of the cube is length times width times height. Since this is a cube, all of the sides are the same length, making the volume

V = 18³ so

V = 5832 inches cubed. Now for the sphere.

The formula for the volume of a sphere is

$V=(4)/(3)\pi r^3$ and we will use 3.1415 for π.

$V=(4)/(3)(3.1415)(9)^3$ which gives us

V = 3053.538

Subtracting the volume of the sphere from the volume of the cube:

V = 5832 - 3053.538

V = 2778.462 inches cubed

Answer:

2,778 in³

Step-by-step explanation:

Volume cube

v = 18³

v = 5,832

Volume sphere

v = (4/3)π9³

v = 3,053.6280592893

Volume space

v = 5,832 - 3,053.6280592893

v = 2,778.3719407107

2,778 in³

Payton collected data to show the relationship between the number of hours he practices and the number of errors he makes when playing a new piece of music. The table shows his data. A 2-row table with 9 columns. The first row is labeled number of hours with entries 1, 2, 3, 4, 5, 6, 7, 8. The second row is labeled number of errors with entries 36, 34, 30, 31, 23, 16, 11, 5. Which is the approximate slope of the line of best fit for the data? –5.5 –4.5 –2.0 –1.0

Answers

The approximate value of the line of best fit which is the ratio of the change in y and the change in x axis from the options given is -4.5.

The slope of the line of best fit can be determined using the following pair of points :

(1, 36) and (8, 5)

x1 = 1 ; x2 = 8; y1 = 36 ; y2 = 5

The slope is defined thus :