Geometry RSM question help

Answer:

16.666667 %

Step-by-step explanation:

1800 - 1500 = 300

x : 100 = 300 : 1800

x = 300 · 100 / 1800

x = 300/ 18

x = 100/6

x = 16.666667 %

Answer:

Number 7: \(m=\frac{6}{4}\)

This graph displays the change in wage per years of service. Since the slope is positive, this means the wage has a positive growth.

Number 8: \(m=\frac{-400}{3}\)

This graph displays the amount of people evacuating per hour. Since the slope is negative, this means the amount of people evacuating per hour is reducing.

Step-by-step explanation:

Number 7:

Step 1: Identify the points on the line to use for slope formula.

The two points are (2, 11) and (6, 17).

\(x^1\) and \(y^1\) will be \((2,11)\)

\(x^2\) and \(y^2\) will be \((6, 17)\)

Step 2: Plug in points into slope formula.

\(m=\frac{y^2-y^1}{x^2-x^1}\)

\(m=\frac{17-11}{6-2}\)

Step 3: Subtract.

\(m=\frac{6}{4}\)

Step 4: Simplify.

improper fraction: \(\frac{3}{2}\)

mixed number: \(1\frac{1}{2}\)

decimal: \(1.5\)

Number 8:

Step 1: Identify the points on the line to use for the slope formula.

The two points are (3, 1200) and (6, 800)

\(x^1\) and \(y^1\) will be \((3,1200)\)

\(x^2\) and \(y^2\) will be \((6, 800)\)

Step 2: Plug in points into slope formula.

\(m=\frac{y^2-y^1}{x^2-x^1}\)

\(m=\frac{800-1200}{6-3}\)

Step 3: Subtract.

\(m=\frac{-400}{3}\)

Step 4: Simplify.

Cannot be simplified further.

mixed number: \(m=\frac{-400}{3}\)

decimal: \(133.333333333\)

Use mean and standard deviation to fit a data set to a normal distribution when appropriate; estimate population percentages using tools Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate.

Answer:

Quadrant V

Step-by-step explanation:

A co-ordinate graph only has 4 quadrants!

Answer:

Point M = (2, -4)

Point N = (2, 4)

Step-by-step explanation:

Point L = (-2,-4)

If it is reflected over y-axis, it's y-coordinate remains the same and x-coordinate will change into it's opposite.

Point M = (2, -4)

The, it is reflected over x-axis, it's x-coordinate remains the same and y-coordinate will change into it's opposite.

Point N = (2, 4)

The axiom of regularity is a set theory principle which states that every non-empty set C contains an element that is disjoint from C.

The set theory concept rules that for every non-empty set C there is an element x of C such that x does not intersect C. The regularity axiom aims to establish that no non-empty set will have itself as an element.

The principle which is also called the axiom of foundation is a fundamental concept in set theory and credited to Zermelo–Fraenkel.

Learn more about set theory ; https://brainly.com/question/13458417

#SPJ1

Answer:

Base rate: $120

Rate: $2 per person

Equation: f(x)=2x+120

Step-by-step explanation:

If 30 people cost $180 and 50 people cost $220, the charge for 20 extra people is $40.  This means, \(\frac{220-180dollars}{50-30people}=\frac{40dollars}{20people}=2\frac{dollars}{person}\).

These values correspond to a base rate for the bus of $120.

The function for the cost per bus with x number of people on it would be:

\(f(x)=2x+100\)

This can be checked by using the values given in the problem:

\(f(30)=2(30)+120=180\\f(50)=2(50)+120=220\)

The base rate of $120 and $2 per person satisfies the given equation and established values.

1. It will take 320 minutes of calls for Plan One and Plan Two to have the same costs.

2. The dimensions of the rectangle with a perimeter of 68 cm are:

3. The distance traveled for incurring a total cost of $124.34 was 143 miles.

4. When the publisher produces 3,920 books, the total costs under the two publishing methods will equalize.

5. The dimensions of the rectangle with a perimeter of 96 inches are:

We can simultaneous equations to solve mathematical problems.

Simultaneous equations are two or more equations solved together.

1. Call Plans:

                             1st Plan      2nd Plan

Monthly cost           $16             $0

Variable cost/min   $0.08         $0.13

Let 1st Plan = 16 + 0.08x ... Equation 1

Let 2nd Plan = 0.13x ... Equation 2

The minutes when the cost of the two plans will be equal:

Set the two equations as equal:

0.13x = 16 + 0.08x

Collect like terms:

0.13x - 0.08x = 16

Simplify terms:

0.05x = 16

Divide both sides by 0.05:

x = 320

2) Length of rectangle = Width + 4cm

Perimeter = 68 cm

Let length = w + 4

Let length = w

Perimeter = 2(Length + Width)

68 = 2(w + 4 + w)

68 = 2w + 8 + 2w

68 = 4w + 8

68 - 8 = 4w

4w = 60

w = 15

Width = 15 cm

Length = 19 cm (15 + 4)

Check:

68 = 2(w + 4 + w)

68 = 2(15 + 4 + 15)

68 = 2(15 + 19)

68 = 30 + 38

68 = 68

3. Basic Fee for hiring a truck = $19.95

Variable charge per mile = $0.73

The total cost incurred = $124.34

The distance in miles taken: 19.95 + 0.73x = 124.34

0.73x = 124.34 - 19.95

0.73x = 104.39

x = 143

= 143 miles

4.                                     Method 1       Method 2

Fixed production costs   $12,216          $56,316

Variable cost per book   $23.25                $12

Let the total cost of Method 1 = 12,216 + 23.25x

Let the total cost of Method 2 = 56,316 + 12x

The number of books when the costs for the two methods will be equal:

12,216 + 23.25x = 56,316 + 12x

23.25x - 12x = 56,316 - 12,216

11.25x = 44,100

x = 3,920

= 3,920 books

5) Length of rectangle = 5 x Width

Perimeter = 96 inches

Let length = 5w

Let length = w

Perimeter = 2(Length + Width)

96 = 2(5w + w)

96 = 10w + 2w

96 = 12w

12w = 96

w = 8

Width = 8 inches

Length = 40 inches (8 x 5)

Check:

96 = 2(5w + w)

= 2(5w + w)

= 2(40 + 8)

= 80 + 16

= 96

Learn more about simultaneous equations at https://brainly.com/question/15165519

#SPJ1

Answer:

y= -x²-4x+2

Step-by-step explanation:

write in vertex form

a(x-h)²+k

in our case h = -2 and k= 6

y=a(x+2)²+6

now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a

-3= a(1+2)²+6

-9=9a

a= -1

thus the formula is -(x+2)²+6

generally, teachers want things in standard form, so expand the exponent and simplify.

-(x²+4x+4)+6

y= -x²-4x+2

Answer:

\(y = -x^2 - 4x + 2\)

Step-by-step explanation:

The equation of a parabola in vertex form is:

\(y = a(x - h)^2 + k\)

where (h, k) is the vertex of the parabola.

In this case, the vertex is (-2, 6), so h = -2 and k = 6.

We also know that the parabola passes through the point (1, -3).

Plugging these values into the equation, we get:

\(-3 = a(1 - (-2))^2 + 6\)

\(-3 = a(3)^2 + 6\)

-9 = 9a

a = -1

Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:

\(y = -1(x + 2)^2 + 6\)

This equation can also be written as:

\(y = -x^2 - 4x -4+6\\y=x^2-4x+2\)

The value of angle 1 given the value of angle 4 as 47° will be 133°

Parallel lines are two lines on a two-dimensional plane that, no matter how far they are extended, never collide. They always keep the same gap between them.

Parallel lines have the same slope, which means they have the same angle of inclination or steepness. In other words, they rise and fall at the same pace along their length.

The value will be:

= 180° - 47°

= 133°

Learn more about parallel lines on

https://brainly.com/question/24607467

#SPJ1

The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

Find out more on equation at: https://brainly.com/question/29174899

#SPJ1

The measure in radians for the central angle is approximately 0.7 radians.

To find the measure in radians for the central angle of a circle, we can use the formula:

θ = s / r

where θ is the central angle in radians, s is the intercepted arc length, and r is the radius of the circle.

In this case, the radius is given as 8 cm and the intercepted arc length is 5.6 cm.

Plugging these values into the formula, we have:

θ = 5.6 cm / 8 cm

Simplifying the expression:

θ = 0.7

We may use the following formula to get the centre angle of a circle's measurement in radians:

= s / r

s is the length of the intercepted arc, r is the circle's radius and is the centre angle in radians.

The intercepted arc length in this instance is 5.6 cm, while the radius is specified as 8 cm.

When these values are plugged into the formula, we get:

θ = 5.6 cm / 8 cm

Condensing the phrase:

θ = 0.7

For similar questions on radians

https://brainly.com/question/29058626

#SPJ11

The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

We have,

To evaluate the limit of the expression as x approaches 0, we can simplify the expression first.

The expression is given as lim(x approaches 0) (cosec(2x) - x cosec³(x)).

Using trigonometric identities, we can rewrite cosec(2x) as 1/sin(2x) and cosec³(x) as 1/(sin(x))³.

Substituting these into the expression,

We get lim(x approaches 0) (1/sin(2x) - x (1/(sin(x))³)).

Now, let's evaluate the limit term by term:

lim(x approaches 0) (1/sin(2x)) = 1/sin(0) = 1/0 (which is undefined).

lim(x approaches 0) (x (1/(sin(x))³))

= 0 (1/(sin(0))³)

= 0 x 1/0 (which is also undefined).

Since both terms of the expression are undefined as x approaches 0, we cannot determine the limit of the expression.

Therefore,

The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

Learn more about limits here:

https://brainly.com/question/12211820

#SPJ1

Answer:

I'm not entirely sure what you are asking, could you comment on this answer the full question so I can edit this question to provide you an answer?

Answer: biosphere

Step-by-step explanation:

I am not sure what picture you are looking at but if it is 3 barbeque chicken legs in one image than this is your answer. The reason being that chickens can only be found on land and the land is considered part of the biosphere because bio = life

-5m+2m is -3m

Hope it helps!

Answer:

x = 8

Step-by-step explanation:

These are corresponding angles, and they are equal to one another.

\(7x+3=3x+35\\4x+3=35\\4x=32\\x=8\)

for the given equation 2.5m + 24 = 62, the value of m will be 15.2.

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given an equation 2.5m + 24 = 62

Simplifying using PEMDAS

2.5m + 24 = 62

subtract by 24 on both sides

2.5m = 38

m = 38/2.5

m = 15.2

Therefore, for the given equation the value of m will be 15.2.

Learn more about Simplification here:

https://brainly.com/question/28996879

#SPJ2

In June, A.B.C company invested $20,000, purchased equipment, paid insurance premium, bought office supplies, billed students for tutorial services, received cash, paid for supplies, withdrew personal funds.

Accounting Cycles:

1. June 1:

  - A.B.C company invests $20,000 in the business.

  - Prepare the journal entry:

    - Debit: Cash ($20,000)

    - Credit: Capital ($20,000)

2. June 3:

  - Purchased equipment for $12,100.

  - Prepare the journal entry:

    - Debit: Equipment ($12,100)

    - Credit: Cash ($12,100)

3. June 4:

  - Paid $220 premium for an insurance policy.

  - Prepare the journal entry:

    - Debit: Insurance Expense ($220)

    - Credit: Cash ($220)

4. June 6:

  - Purchased office supplies on account for $140.

  - Prepare the journal entry:

    - Debit: Office Supplies ($140)

    - Credit: Accounts Payable ($140)

5. June 9:

  - Purchased a new computer for $9,000. Paid 40% in cash and agreed to pay the remainder later.

  - Prepare the journal entry for the cash payment:

    - Debit: Computer ($3,600) [40% of $9,000]

    - Credit: Cash ($3,600)

  - Prepare the journal entry for the remaining amount:

    - Debit: Computer ($5,400)

    - Credit: Accounts Payable ($5,400)

6. June 10:

  - Billed student Omar $58 for tutorial services performed.

  - Prepare the journal entry:

    - Debit: Accounts Receivable ($58)

    - Credit: Tutorial Services Revenue ($58)

7. June 14:

  - Paid for the supplies purchased on June 6th ($140).

  - Prepare the journal entry:

    - Debit: Accounts Payable ($140)

    - Credit: Cash ($140)

8. June 15:

  - The owner suggested purchasing a new building for the company for $22,000.

  - No journal entry is required at this point. It is a decision made by the owner.

9. June 25:

  - Received $85 cash from student Salim Ali for tutorial services performed.

  - Prepare the journal entry:

    - Debit: Cash ($85)

    - Credit: Accounts Receivable ($85)

10. June 30:

   - Student billed on June 10 pays the amount due ($58).

   - Prepare the journal entry:

     - Debit: Cash ($58)

     - Credit: Accounts Receivable ($58)

11. June 30:

   - A.B.C company withdraws $60 for personal use.

   - Prepare the journal entry:

     - Debit: Withdrawals ($60)

     - Credit: Cash ($60)

These transactions represent the accounting cycles for the given period.

For more such questions on cash, click on:

https://brainly.com/question/14883253

#SPJ8

Answer: C

Move the decimal in 3.1 over 4 times

Move the decimal in 2.0 over 6 times

Now it is 31,000 times 2,000,000 which equals 62,000,000,000. In scientific notation it is 6.2 times 10 to the tenth power

Answer:

---------------------

Evaluate the expression in below steps:

Answer:

(5, 4)

Step-by-step explanation:

(x + 2, y + 3)

(3  + 2, 1 + 3)

(5, 4)

Answer:

B' (5, 4 )

Step-by-step explanation:

the translation rule (x, y ) → (x + 2, y + 3 )

means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then

B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )

Answer:

option d is correct-$0.05 per cough drop.

Explanation:

19 medicated cough drops cost=$0.99

1 medicated cough drop cost=0.99×1/19

=0.05

So, the cost of per cough drop is $0.05

Hope u like it

PLZ MARK ME AS BRAINLIEST ♥️

Answer:

the answer is 62.8cm^2

Step-by-step explanation:

4•3.14•5

By using the formula for the surface area of the sphere \(S.A = 4 \pi r^2\), the surface area of this sphere would be, \(S.A = 314\) cm²

Used the formula of the surface area of the sphere,

\(S.A = 4 \pi r^2\)

Where 'r' is the radius of the sphere.

Given that,

Diameter of a sphere = 10 cm

We know that the radius of the sphere is half of the diameter of the sphere.

Hence, the radius of the sphere is,

\(r = \dfrac{10}{2}\)

\(r = 5\) cm

Substitute r = 5 cm in the above formula,

\(S.A = 4 \pi r^2\)

\(S.A = 4 \times 3.14 \times 5^2\)

Therefore, the surface area of a sphere is,

\(S.A = 314\) cm²

To know more about Sphere visit:

brainly.com/question/9994313

#SPJ4

The number of points scored by Tyger will be 132 points.

From the information, Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain.

Therefore, the number of points scored by Tyger will be:

= Points scored by Captain + (Percentage × Captain point)

= 120 + (10% × 120)

= 120 + 12

= 132

Tyger scored 132 points.

Learn more about percentages on:

brainly.com/question/24304697

#SPJ1

The number of points scored by Tyger will be 132 points.

From the information, Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain.

Therefore, the number of points scored by Tyger will be:

= Points scored by Captain + (Percentage × Captain point)

= 120 + (10% × 120)

= 120 + 12

= 132

Tyger scored 132 points.

Learn more about percentages on:

brainly.com/question/24304697

#SPJ1

The value of angle RPQ in the circle is 115 degrees.

The intersecting chords theorem, also known as the chord theorem, is an elementary geometry statement that describes a relationship between the four line segments formed by two intersecting chords within a circle.

If two chords intersect inside a circle, then the measure of the angle formed is one-half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Therefore,

∠RPQ = 1  / 2 (arc angle RQ + arc angle SA)

arc angle RQ = 175 degrees

arc angle SA = 55 degrees

Hence,

∠RPQ  = 1 / 2 (175 + 55)

∠RPQ  = 1 / 2 (230)

∠RPQ  = 115 degrees.

The angle is 115°.

learn more on circle theorem here:

brainly.com/question/24509783

#SPJ1

Answer:

$3.72

hope this helps

have a good day :)

Step-by-step explanation:

Because 1 orange cost 0.93 so you multiply it by 4 to get 3.72

Answer:

$3.72

Step-by-step explanation:

ok so we need to divide 2.79÷3 so we can know how much each orange coast.

2.79÷3 = 0.93

now add 0.93 to 2.79

2.79+0.93 = 3.72