Gary drove 800 miles over a period of 18 hours. Calculate his average speed. Round to the nearest tenth

The percentage strength of neomycin in the final compounded product is approximately 2.5%.

To determine the percentage strength of neomycin in the final compounded product, we need to calculate the weight of neomycin in the cream and divide it by the total weight of the cream.

Neomycin (5%) cream: 30g

The neomycin content is 5% of the total cream weight. To find the weight of neomycin in the cream, we multiply the cream weight by the neomycin percentage:

Weight of neomycin = 30g × 0.05 = 1.5g

Now, to calculate the percentage strength of neomycin in the final compounded product, we divide the weight of neomycin by the total weight of the cream and multiply by 100:

Percentage strength of neomycin = (Weight of neomycin / Total weight of cream) × 100

Percentage strength of neomycin = (1.5g / 60g) × 100 ≈ 2.5

Therefore, the percentage strength of neomycin in the final compounded product is approximately 2.5%.

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The total amount of money earned over the 29 years if the salary is increased by 2% every year is $ 969,805.86.

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after. A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.

Violet was offered a job that paid a salary of $25,500 in its first year.

The salary was set to increase by 2% per year every year.

If Violet worked at the job for 29 years. Then the total amount of money earned over the 29 years will be

The sequence will be

\(25000, 25000 (1.02), 25000 (1.02)^2, 25000 (1.02)^3, ....., 25000 (1.02)^{28}\)

Then we have

First-term (a) = 25000

Common ratio (r) = 1.02

n = 29

Then the sum will be given as

\(\rm S_n \ = \dfrac{a(r^n - 1)}{(r-1)}\\\\\\S_{29} = \dfrac{25000(1.02^{29}-1)}{1.02-1}\\\\\\S_{29} = \dfrac{25000\times 0.7758}{0.02}\\\\\\S_{29}= \$ \ 969,805.86\)

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Answer: 969805

Step-by-step explanation:

Answer:

88% of the free throws were made

Answer:

88%

Step-by-step explanation:

to find the percentage of free throws made, divide the number the player made, by the total number of shots.  88/100 equals 0.88

Multiply that decimal by 100 to get the answer in the form of a percentage.

Answer:

y-coordinate

Step-by-step explanation:

x-intercepts lie on the x-axis. On the x-axis, y=0 while the x value is changing.

Answer: Set the Y equal to zero and solve for x

Step-by-step explanation:

Answer:

Mean:

10.5+9.2+0+9.3+10.4+9.2=48.6

48.6 divded by 6 =8.1

Median is 9.3

Mode is 9.2

Step-by-step explanation:

Answer:

g(f(x)) = 6x - 9

Step-by-step explanation:

To find g(f(x)), substitute x = f(x) into g(x) , that is

g(3x - 5)

= 2(3x - 5) + 1 ← distribute parenthesis and simplify

= 6x - 10 + 1

= 6x - 9

Answer:

d on edge

Step-by-step explanation:

Answer:

\(5x^{4}\)

Step-by-step explanation:

lmk if you need an explanation  :)

Answer:

D

Step-by-step explanation:

when x=1, y should = 2

2(1)=2

so y=2x is correct

Answer:

x= −20

Step-by-step explanation:

The solution is x = 38

The equation to measure the value of x is ( 2x - 15 )° + ( 3x + 5 )° = 180° and the value of x = 38 from the two angles

What are angles in parallel lines?

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line. The intersecting line is known as transversal line.

We can conclude three factors determining parallel lines ,

Alternate angles are equal

Corresponding angles are equal

Co-interior angles add up to 180°

Same side exterior angles are supplementary

Given data ,

Let the first angle be represented as A

Now , the value of A is = ( 2x - 15 )°

Let the second angle be represented as B

Now , the value of B is = ( 3x + 5 )°

The angles A and B are on the same side of the exterior angles

And , lines a and b are parallel

So , When two parallel lines are intersected by a transversal, the angles that are exterior to the parallel lines and on the same side of the transversal line are supplementary

Substituting the values in the equation , we get

( 2x - 15 )° + ( 3x + 5 )° = 180°

On simplifying the equation , we get

2x - 15 + 3x + 5 = 180

5x - 10 = 180

Adding 10 on both sides of the equation , we get

5x = 190

Divide by 5 on both sides of the equation , we get

x = 190/5

x = 38

Therefore , the value of x is 38

Hence , the value of x from the equation is 38

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The measure of the value of x is 70.52 degrees.

Given

A 12-foot ladder is placed 4 feet away from a house as shown.

According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards.

The cos theta is defined as the ratio of the side adjacent to the angle and the hypotenuse.

The following formula is used to calculate the value of x;

\(\rm Cosx=\dfrac{Side \ adjacent \ to \ angle}{Hypotenuse}\\\)

Where the side adjacent to angle = 4 and hypotenuse is 12.

Substitute all the values in the formula;

\(\rm Cosx=\dfrac{Side \ adjacent \ to \ angle}{Hypotenuse}\\\\\rm Cosx=\dfrac{4}{12}\\\\\rm Cosx=\dfrac{1}{3}\\\\x=Cos{-1}(\dfrac{1}{3}\\\\x= 70.52 \ degrees\\\\\)

Hence, the measure of the value of x is 70.52 degrees.

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Answer:

71

Step-by-step explanation:

Yes, the ladder is being used safely

We can compare the two options of annual salary by setting them equal to each other and solving for 'n':

\(50,000 + $3,000 * 'n' = $50,000 * (1 + 0.05)^'n'\)

The four basic mathematical operations are Addition, subtraction, multiplication, and division.

Option 1: A fixed raise of $3000 per year.

Option 2: A raise that increases by 5% of your current salary each year.

To determine which option is better, we can compare the total salary after a certain number of years for each option.

Let's assume the number of years is 'n'.

For Option 1, the annual salary after 'n' years would be:

\(50,000 + $3,000 * 'n'\)

For Option 2, the annual salary after 'n' years would be:

\($50,000 * (1 + 0.05)^'n'\)

Now, we can compare the two options by setting them equal to each other and solving for 'n':

\(50,000 + $3,000 * 'n' = $50,000 * (1 + 0.05)^'n'\)

We can then solve this equation to find the value of 'n' at which the two options are equal, or we can compare the salaries for different values of 'n' to determine which option yields a higher salary after a certain number of years.

Factors such as inflation, taxes, and other financial considerations may also need to be taken into account when comparing the two options. Additionally, personal preferences, job satisfaction, and other non-monetary factors may also play a role in the decision-making process.

Hence, The job offers a starting annual salary of $50,000 with two options for determining the annual raise.

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Complete question:

You are offered a job with a starting annual salary of $50,000 and two options for determining your annual raise:

Option 1: An annual raise of $3,000 per year.

Option 2: A 5% raise each year.

Compare the two options by setting them equal to each other.

Answer:

the vertical line test makes or breaks if the graph is a function or not

Step-by-step explanation:

so if the line touches more than one point on the graph it is no longer a function i hope this helps mark brainlest if it helps pls

Answer:

The answer is √26

Step-by-step explanation:

Let the point be A and B i.e.,

A = (11, 7)

B = (16, 6)

Now, The distance between A and B

AB = √(x₂ – x₁)² + (y₂ – y₁)²

AB = √(16 – 11)² + (6 – 7)²

AB = √(5)² + (-1)²

AB = √25 + 1

AB = √26

Thus, The distance between A and B is √26

-TheUnknownScientist 72

The arithmetic mean of the two fractions is 68/35.

The arithmetic mean can be calculated using the mentioned formula -

Arithmetic mean = sum of the numbers / frequency of numbers.

Sum of the fractions = 2/5 + 4/7

Performing division of the two numbers

Sum of the fractions = (14 + 20)/35

Sum of the fractions = 34/35

Arithmetic mean = (34/35)/2

Rewriting the average

Arithmetic mean = (34 × 2)/35

Performing multiplication on Right Hand Side of the equation

Arithmetic mean = 68/35

Hence, the Arithmetic mean is 68/35.

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Answer:

Step-by-step explanation:

1). 2x + y = 12 -----(1)

   x = 9 - 2y -------(2)

   By substituting the value of x from equation (2) to equation (1)

   2(9 - 2y) + y = 12

   18 - 4y + y = 12

   18 - 3y = 12

   3y = 18 - 12

   y = 2

   By substituting the value of x in equation (2)

    x = 9 - 2(2)

    x = 9 - 4

    x = 5

2). x + 2y = 9 ------(1)

    2x + 4y = 20

    x + 2y = 10 -------(2)

    Since, both the equations are the parallel equations,

    Therefore, No solutions will be the answer.

3). x + 3y = 16 -------(1)

    2x - y = 11 ---------(2)

    Multiply equation (2) by 3 the add to equation (1)

    6x - 3y + (x + 3y) = 16 + 33

    7x = 49

     x = 7

     From equation (1),

     7 + 3y = 16

     3y = 9

     y = 3

4). y = 11 - 2x -------(1)

    4x - 3y = -13 -------(2)

    By substituting the value of y from equation (1) to (2),

    4x - 3(11 - 2x) = -13

     4x - 33 + 6x = -13

     10x = 33 - 13

     10x = 20

     x = 2

      From equation (1)

     y = 11 - 2(2)

    y = 7

5). y = 10 + x -------(1)

    -3x + 3y = 30

    -x + y = 10

     y = 10 + x ------(2)

    Equations (1) and (2) are same.

    Therefore, Infinite solutions will be the answer.

6). 2x + y = 11 --------(1)

    x - 2y = -7 ---------(2)

    Multiply equation (1) by 2 then add to equation (2)

    4x + 2y + (x - 2y) = 22 - 7

    5x = 15

    x = 3

    From equation (2)

    3 - 2y = -7

    2y = 3 + 7

     y = 5

the answer

155

324

5/9 (87/3(1/12)= 155/324

Answer:

1/2 and - 1/2

Step-by-step explanation:

umm ok so for slope you do m = y2-y1/ x2-x1 which can probably be any point since they havent specified so we will do

A)   L (-8,8) and (0,4)M

m= 4-8/0-8

=-4/-8

=  1/2

B ) now for b its asking for the certain points of

n and p

(4,2) N and (8,0) P

m= y2-y1/x2-x1 = 0-2/8-4= -2/4 = - 1/2 for ur slope

these should be right.

Answer:

lower bound: 147.5g

upper bound: 152.5g

The number of minutes required to wash 12 windows is 8 4/7 minutes.

According to the given question.

You can wash one window in 15 minutes, so each minute you can wash 1/15.

Your sister can wash one window in 20 minutes, so each minute the sister can wash 1/20.

If working together you can wash 1/15 + 1/20 = 7/60.

Hence, the time required to wash 12 windows together

= 12 × 7/60

= 8 4/7 minutes.

Therefore, the number of minutes required to wash 12 windows is 8 4/7 minutes.

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Answer:

Step-by-step explanation:

Payment per hour is $8

commission is 15%

Total number of hours worked for 2 weeks is 73 hours

Total sales=$2095

commission earned for 2 weeks:

15/100×2095

=$314.25

Total amount earned in 73 hours:

73×8=$584

Total amount earned in commission and wages:

584+314.25

=$898.25

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 880 Trees

Step-by-step explanation:

To determine the number of trees that can be planted on 2 miles of streets, we need to convert the distance from miles to feet and then divide it by the spacing between each tree.

1 mile is equal to 5,280 feet. Therefore, 2 miles would be 2 * 5,280 = 10,560 feet.

If each tree is planted 12 feet apart, we can calculate the number of trees by dividing the total distance by the spacing between each tree:

Number of trees = Total distance / Spacing between each tree

Number of trees = 10,560 feet / 12 feet

Number of trees = 880

Therefore, they can plant 880 trees on 2 miles of streets, assuming each tree is planted 12 feet apart.

Answer:

The Third number is 19

Step-by-step explanation:

7 + 2 = 11 then add 19=

11 + 19 = 30 After divide by three because there are 3 numbers

30.6 ÷ 3 = 10

Remember: To find the mean you add all the numbers together and divide by how many numbers are there.

For example: you have 2, 5, 8 you add them together which is 15. There are 3 numbers so you divide 15 by 3 which is 5.

To find a parametric equation for the line of intersection of two planes, we need to solve a system of equations formed by the equation of the two planes.

To find a parametric equation for the line of intersection of two planes, we need to solve a system of equations formed by the equation of the two planes. The equation of a plane is given by Ax + By + Cz + D = 0, where A, B, C and D are constants. We can then form a system of equations by equating the coefficients of x, y and z from both equations. Solving the system of equations gives the parametric equation of the line of intersection of the two planes. The parametric equation can be written as x = x0 + at, y = y0 + bt, and z = z0 + ct, where x0, y0 and z0 are constants and a, b, and c are non-zero constants. This equation gives the coordinates of any point on the line of intersection of the two planes, which is determined by the constants x0, y0, z0 and a, b, c.

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Answer:

125.84

Step-by-step explanation:

116.52(0.08)=9.32

116.52+9.32=125.84

Answer:

The total is $125.84.

Step-by-step explanation:

The total is equal to the original value (100%) + the tax amount (8%) which equals 108%. To multiply it, we move the decimal two to the left to get our figure (1.08) then multiply that times 116.52. So, 116.52x1.08=125.8416; for dollars I rounded to the nearest cent: $125.84.

9514 1404 393

Answer:

  all are functions except Relation 2

Step-by-step explanation:

If any input value (first of an ordered pair) is used more than once, the relation is not a function. Output values can be used as often as you like.

Only Relation 2 is not a function.

The unit rate, which is a constant between the ratio of two numbers that vary concurrently, can also be used to refer to the slope. Slope follows the same rule.

As long as the rise/run along the line remains constant, the slope between any two places on a straight line will always be the same.

A linear relationship grows or shrinks at a constant rate of change, similar to a proportional relationship. This is known as the constant of proportionality in a relationship. It can also be referred to as the slope or unit rate in a linear connection. The slope of a line said to be its steepness.

Like the proportionality constant, the slope shows how quickly an amount is rising or falling. The only difference between the slope and the constant of proportionality is that the relationship need not begin at 0. Mathematicians frequently substitute the term slope or unit rate for the proportionality constant.

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The table and the graph of the given model has been created and it will take 3 to 4 years for the nonnative fish population exceed 1000000

Number of nonnative fish in the lake = 50

Each pair of fish creates 30 new fish each year.

The population in one year = (50/2) ×30

= 25×30

= 750

The population in second year = (750/2) × 30

= 375 × 30

= 11250

The population in third year = (11250/2) × 30

= 5625 × 30

= 168750

The population in fourth year = (168750/2) × 30

= 84375 × 30

= 2531250

It will take 3 to 4 years for the nonnative fish population exceed 1000000

Create a table using the values and draw the graph

Hence, the table and the graph of the given model has been created and it will take 3 to 4 years for the nonnative fish population exceed 1000000

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