Mathematics High School

Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
these equations must be for pre-algerbra

Answers

Answer 1
A. x + 5=12
7x = 21

B. b - 2/3 = 5/6
1/5m = 20

C. 45 = 3(x + 1)

D. 22.5 = 1.5x

E. Mark has $20 in his bank account. He saves $5 each week. How much money does Mark have in his account after 9 weeks? Use w to represent the number of weeks and t to represent the total amount Mark has after any number of weeks.
Answer 2

Answer:

One step equations

3 + x = 5 ___x = 2

Y + 14 = 20____x = 6

Equations with Fractions

4/5q = 32___q = 40

3/4x = 6___x = 8

Equation with decimals

3.2x – 2.7 = 1.2x___x = 1.35

Equation with distributive Property

7x + 3 (x + 1) = 10x + 3

Infinitely Many solutions

Real World Problem

Monica knows that she should spend no more than  1/3 of her income on her rent. She really wants to move into a cool condo downtown and has found a great place where the rent is $2,300 per month. Based on that, how much should Monica earn each month to afford the rent on her cool new place?

Hope This Helps!

Related Questions

Ashley has 100 books that she wants to give away at the rate of n books per week. Write a recursive function that represents the number of books Ashley has at any time. The recursive function that gives the number of books Ashley has at any time is = , starting at

Answers

Final answer:

To describe Ashley's book giveaway scenario with a recursive function, define the base case as her starting with 100 books and the recursive step reflecting the weekly giveaway of n books, allowing the calculation of remaining books at any week.

Explanation:

Ashley's scenario of giving away books can be described using a recursive function. If she starts with 100 books and plans to give away n books per week, we can denote the total number of books she has after x weeks as f(x). The recursive function that represents this situation can be written as:

f(0) = 100 - This is our base case, where Ashley starts with 100 books before any are given away.

f(x) = f(x-1) - n - This is the recursive step, indicating that the total number of books Ashley has after x weeks is the number she had the week before, minus n, the number of books given away weekly.

This recursive formula allows you to calculate the number of books Ashley will have after any given number of weeks, as long as n is a known constant number of books she gives away each week.

Choose all equivalent expression(s).
HELP !!
answer choices in picture

Answers

The answer would be: B, C and D

The [tex] \frac{1}{4}[/tex] from [tex] \frac{1}{4} ^{3x^{2} }[/tex] can be converted into [tex] 4^{-1} [/tex] so it will be equal to  [tex] 4^{-3x^{2} } [/tex] 

The [tex] \frac{x}{4}[/tex] from [tex] \frac{x}{4} ^{3x }[/tex] can be converted into [tex] x^{1} [/tex] *[tex] 4^{-1} [/tex] so it will be equal to  [tex] 4^{-3x^{2} } [/tex] 

[tex] 4^{3x^{2} } [/tex] and [tex] 4^{-3x^{2} } [/tex] clearly not equivalent, so option A is out

PLZZ HELP AND PLZZ HURRY

What other information is needed to prove that △FGE ~ △IJH by the SAS similarity theorem?

A. ∠F ≅ ∠J
B. ∠I ≅ ∠F
C. ∠E ≅ ∠H
D. ∠G ≅ ∠I

Answers

Answer: The correct answer is Choice B.

In the diagram, we can see that we have two pairs of sides that are proportional.

10/15 = 20/30

One of the ways to prove triangles similar is with the SAS similarity theorem. Therefore, all we are missing is the included angle. Knowing that angle I is congruent to angle F would be enough to prove the triangles are similar.

Answer:

I think the answer is B. ∠I ≅ ∠F.

Step-by-step explanation:

Consider the function f(x)=−23x+5 . What is f(52) ? Enter your answer, as a simplified fraction, in the box.

Answers

Hey! the answer is -52.5
Hope this helps!
Answer: f(52) = -1191.

Step-by-step explanation:

Given function f(x)=−23x+5

We need to find f(52).

In order to find the value of f(52), we need to plug x= 52 in the given above linear function f(x) = -23x+5.

Plugging x= 52, we get

f(52) = -23(52) +5

On multiplying -23 and 52 we get -1196.

Therefore,

f(52) = -1196 +5

And

f(52) = -1191.

Why is circle 1 similar to circle 2?
Circle 1: center (2, 3) and radius 4
Circle 2: center (2, 3) and radius 12

Answers

The correct answer is

Circle 2 is a dilation of circle 1 with a scale factor of 3.

Answer:  The answer is given below.

Step-by-step explanation: The given circles are:

Circle 1: centre (2, 3) and radius 4  

Circle 2: centre (2, 3) and radius 12.

The equations of circle 1 and circle 2 are respectively given as :

[tex](x-2)^2+(y-3)^2=4^2,\\\\(x-2)^2+(y-3)^2=12^2.[/tex]

These two circles are drawn on the graph as shown in the attached figure.

We can easily see that the Circle 2 is a dilation of Circle 1 with a scale factor

[tex]S=\dfrac{12}{4}=3.[/tex]

Thus, the two circles are similar.

PLEASE HELP ASAP!
Volume of rectangular prism
Area of a parallelogram
Circumference of a circle
Area of a circle
Area of a triangle
Area of a trapezoid
Perimeter of a quadrilateral
-
Item bank:
2L + 2W
πd
πr2
bh
lwh
1/2(b1 + b2)h
1/2 bh

Answers

Area of a Parallelogram --- bh (base x height)
Circumference (Perimeter) --- πd
Area of a Circle --- πr2
Area of a Triangle --- 1/2 bh
Area of a Trapezoid --- 1/2(b1 + b2)h
Perimeter of a Quadrilateral/Rectangle --- 2L + 2W
Volume of a Parallelogram --- lwh

if it says i copied and pasted.. i didn't, i didn't have pi symbol so i copied and pasted that... hope this helped tho..

Final answer:

Clear geometry formulas for calculating volume, area, and perimeter include V = lwh for rectangular prisms, A = bh for parallelograms, and C = πd for the circumference of a circle, among others.

Explanation:

Understanding Geometry, Area, and Volume

To help with remembering formulas from geometry, it's essential to understand the relationships between shapes and their dimensions. Here are the correct formulas for each of the items listed:

Volume of a rectangular prism is given by the formula V = lwh (length × width × height).Area of a parallelogram is found using A = bh (base × height).Circumference of a circle requires the formula C = πd or C = 2πr where d is diameter and r is radius.Area of a circle is calculated by A = πr² (pi times radius squared).Area of a triangle can be computed using A = 1/2 bh (half the base times the height).Area of a trapezoid is found with A = 1/2(b1 + b2)h where b1 and b2 are the bases and h is the height.Perimeter of a quadrilateral is the sum of the lengths of all four sides, often expressed as P = 2L + 2W for rectangles, with L being length and W being width.

To solve problems in geometry effectively, it's helpful to visualize the shapes and understand how to derive their area and volume using standard formulas. This also applies when dealing with more complex objects, such as spheres and cylinders. In trigonometry, understanding the relationships within a right triangle can be crucial for solving spatial problems.

PLEASE HELP!!!

Use a calculator to find the approximate value of arccos(0.63).
a) 39.05 degrees
b) 50.95 degrees
c) 78.1 degrees
d) 32.21 degrees

Please explain how you achieved this answer. Thanks!

Answers

The Answer is b: 50.95° see attachment for the explanation.

To find the approximate value of arccos(0.63), input 0.63 into the calculator and use the inverse cosine function to find the answer, which is approximately 50.95 degrees. So correct answer is option B.

The approximate value of arccos(0.63) can be found using a calculator.

To find arccos(0.63), you need to input 0.63 into the calculator and then find the inverse cosine or cos^-1 function. On most calculators, this is represented as cos^-1 or arccos.

When you calculate arccos(0.63), you will get approximately 50.95 degrees as the correct answer.

Graph the ordered pairs for y=4x+2 using x={-2,1,2}

Answers

The graph of the ordered pairs is a straight line graph with x,y values (-2, -6), (1, 6), and (2,10).

What are ordered pairs.

In geometry, Ordered pairs are the values of x and y on the coordinate plane. They are called ordered pairs because they are usually arrange in (x,y) axis.

For a linear equation, the graph is a straight line graph. From the information given:

y = 4x + 2

The slope of the line (m) = 4The y-intercept (b) = 2

The points x-axis {-2, 1, 2} are marked on the graph and the corresponding y-values are {-6, 6, 10} respectively.

PLEASE HELP ASAP
EXTRA POINTS
Sheila places a 54 square inch photo behind a 12-inch-by-12-inch piece of matting.

The photograph is positioned so that the matting is twice as wide at the top and bottom as the sides.

Write an equation for the area of the photo in terms of x.

Answers

1. As you can see in the figure attached, the area of the photograph is:
 
 A=LxW
  
 A is the area of the photograph (A=54 in²).
 L is the lenght of the photograph (L=12-4x).
 W is the widht of the photograph (W=12-2x)
 
 When you substitute these values into the formula A=LxW, you obtain:
 
 A=LxW
 54=(12-4x)(12-2x)
 
 2. Now, you must apply the distributive property. Then:
 
 54=144-24x-48x+8x²
 8x²-72x+144-54=0
 
 3. Therefore, you obtain a quadratic equation for the area of the photo:
 
 8x²-72x+90=0
 
 The answer is: 
 
 8x²-72x+90=0

1. What is the simplest form of the radical expression? 4 fourth root of two x+ 6 fourth root of two x (1 point) 10fourth root of two x 10 fourth root of four x 20 fourth root of two x not possible to simplify,

Answers

Your expression is:
4·⁴√(2x) + 6·⁴√(2x)

As you can see, the radicals are exactly the same: same index, same radicand.

Therefore you can treat it as if it was:
4 apples + 6 apples 
which is 10 apples, 

or in your case:
10·⁴√(2x)

Hence, the correct answer is option A.

There are 12 marbles in a bag, and the marbles are either yellow or green. Two marbles will be randomly picked from the bag, without replacing the first one picked. The probability that both marbles will be yellow is 5 33 . How many YELLOW marbles are in the bag?

Answers

7 green, 5 yellow. Just worked backwards. C(12,2) = 66, so probability given is also 10/66 

If there are x yellow marbles, then C(x,2)•C(12-x,0)/C(12,2) = 10/66. Thus C(x, 2) = 10, so x = 5 = yellows. So greens = 12–5 = 7

Answer:

B) 5

Step-by-step explanation:

The probability of picking yellow first is  

x

12

. The probability of picking yellow second is  

x-1

11

. This will give a solution of  

x (x-1)

132

.  

5

33

is equivalent to  

20

132

. 5 and 4 are the only two consecutive numbers that when multiplied together equal 20. Therefore there are 5 yellow marbles in the bag.

what is the probability that a card picked at random from a 52-card deck of playing cards is a club or a jack?

Answers

[tex] |\Omega|=52\\
|A|=\underbrace{13}_{\text{clubs}}+\underbrace{4}_{\text{jacks}}-\underbrace{1}_{\text{jack of clubs}}=16\\\\
P(A)=\dfrac{16}{52}=\dfrac{4}{13}\approx31\% [/tex]

Answer:

A. 4/13

Step-by-step explanation:

4/13 in percent is 30%(30.7692308 percent)

For Plato Users

The area of a regular octagon is 35 cm2. What is the area of a regular octagon with sides five times as long?

A. 625 cm2

B. 875 cm2

C. 175 cm2

D. 245 cm2

Answers

The answer is B. 875 cm2. This is calculated by taking 35 * 5 * 5. The relationships between areas and side lengths of similar shapes is a squared relationship. Since the answer wanted 5 times, we do 5 times 5 and multiply that by our current area.

Answer with Step-by-step explanation:

Area of octagon=2(1+√2)a²

Where a is the length of the side of the octagon

Area=35 cm²

Let a' be the length of side of new octagon

a'=5a

Area=2(1+√2)a'²

       =25×2(1+√2)a²

       =25×35 cm²

       = 875 cm²

Hence, correct option is:

B. 875 cm²

Complete the following in 4 to 6 sentences: First, list two intellectual property rights. Then, describe why an intellectual property right provides incentives for people to produce creative work.

Answers

1. What is Intellectual Property
Intellectual property refers to creations of the mind: inventions; literary and artistic works; and symbols, names and images used in commerce. 
1B. Intellectual property is divided into two categories:
Industrial Property includes patents for inventions, trademarks, industrial designs and geographical indications.

2. Copyright covers literary works (such as novels, poems and plays), films, music, artistic works (e.g., drawings, paintings, photographs and sculptures) and architectural design. Rights related to copyright include those of performing artists in their performances, producers of phonograms in their recordings, and broadcasters in their radio and television programs.

3. What are intellectual property rights?
Intellectual property rights are like any other property right. They allow creators, or owners, of patents, trademarks or copyrighted works to benefit from their own work or investment in a creation. These rights are outlined in Article 27 of the Universal Declaration of Human Rights, which provides for the right to benefit from the protection of moral and material interests resulting from authorship of scientific, literary or artistic productions.
The importance of intellectual property was first recognized in the Paris Convention for the Protection of Industrial Property (1883) and the Berne Convention for the Protection of Literary and Artistic Works (1886). Both treaties are administered by the World Intellectual Property Organization (WIPO).

Why promote and protect intellectual property?
There are several compelling reasons. First, the progress and well-being of humanity rest on its capacity to create and invent new works in the areas of technology and culture. Second, the legal protection of new creations encourages the commitment of additional resources for further innovation. Third, the promotion and protection of intellectual property spurs economic growth, creates new jobs and industries, and enhances the quality and enjoyment of life.

An efficient and equitable intellectual property system can help all countries to realize intellectual property’s potential as a catalyst for economic development and social and cultural well-being. The intellectual property system helps strike a balance between the interests of innovators and the public interest, providing an environment in which creativity and invention can flourish, for the benefit of all.

How does the average person benefit?
Intellectual property rights reward creativity and human endeavor, which fuel the progress of humankind. Some examples:
The multibillion dollar film, recording, publishing and software industries – which bring pleasure to millions of people worldwide – would not exist without 

copyright protection.

Without the rewards provided by the patent system, researchers and inventors would have little incentive to continue producing better and more efficient products for consumers.

Consumers would have no means to confidently buy products or services without reliable, international trademark protection and enforcement mechanisms to discourage counterfeiting and piracy.


Final answer:

Intellectual property rights such as patents and copyrights incentivize creative work by providing creators a temporary monopoly, allowing them to recover development costs and potentially make a profit without immediate competition.

Explanation:

Two intellectual property rights are patents and copyrights. A patent gives the inventor the exclusive legal right to make, use, or sell an invention for a limited time, usually for 20 years, and a copyright provides the author exclusive legal rights over their creative works.

Intellectual property rights offer creators monopoly profits during this protected period, acting as significant incentives for the production of creative work.

This exclusive period allows researchers and companies to recover the costs associated with research and development. Without these protections, there would be little to no incentive to invest in creating new works if they could quickly be replicated without any benefit to the creator.

To solve 5(2^x+4)=15, first divide each side by

Answers

Divide both sides by 5

Answer:5

Step-by-step explanation:

What is the quotient of -3/8 and -1/3

Answers

Lets get started :)

To find the quotient, we need to divide (÷)
[tex] -\frac{3}{8} [/tex] ÷ [tex]- \frac{1}{3} [/tex]

To divide 2 fractions, the best way is to change the ÷ to × and flip the second fraction (called as reciprocal)

[tex] -\frac{3}{8} [/tex] x [tex]- \frac{3}{1} [/tex]   ([tex] -\frac{3}{1} [/tex] is simply -3)
[tex] -\frac{3(-3)}{8} [/tex] = [tex] \frac{9}{8} [/tex]

As a mixed fraction, it would be [tex] 1\frac{1}{8} [/tex]

Answer:

its actually a

Step-by-step explanation:

rank from highest to lowest in order of decresing mass

1 Gg, 100 g, 1 kg, 50 cg, 1 cg, 1 dg, 50 million ng,

Answers

The best idea to solve this question is to convert all in same unit i.e. grams. 1 Gg = 10^9 g 100 g = 10^2 g 50 cg = 50*10^-2 g = 0.5 g 1 kg = 1000 g 1 cg = 0.01 g 1 dg = 0.1 g 50 mn ng = 50 * 10^6 * 10^-9 gram = 5* 10 ^-2 g = 0.5g So, the correct order is 1 Gg > 1 kg > 100 g > 50 cg = 50 mn ng > 1 dg > 1 cg

find the equation of the straight line passing throughthe point (3,5) which is perpendicular to the line y=3x+2

please explain

Answers

Y=-1/3x+2 The negative 1/3 makes it perpendicular
5=(3)(-1/3)+b Plug in x and y
5=-1+b
6=b
Y=-1/3x+6
A rule in coordinate geometry you have to know.... 1..When two lines are perpendicular to each other then the product of their gradient is - 1...i.e(m¹×m²=-1)
2.. When two lines are parallel to each other their gradient is the same I.e m¹ =m²...

This question will make use of the first rule...

The second straight line was given to be y =3x+2.. Generally a straight line has the formula y=mx+c(where m=gradient, c=intercept)

So in y=3x+2(the gradient here is 3)

Now from the first rule the product of this line and the line of coordinates (3,5) is - 1..
:- m1*m2=-1
3×m2=-1
m2 = - 1/3....this is the gradient of the line with coordinate (3,5)

Gradient = (y-y₁)/(x-x₁)

-1/3 = (y-5)/(x-3)

Cross multiply you'll have

-1(x-3)=3(y-5)
-x+3=3y-15

3y+x-15-3=0

3y+x-18=0........... Checked....

Or 3y+x=18......

Hope this helped....?

Randy drove 540 miles in three times the time it took Andy to travel 135 miles Andy’s speed was slower than Randy’s by 15 miles per hour what were the rate and time of each?

I really need help please!!!

Answers

Let's assume

Randy's speed =x mph

we have

Andy’s speed was slower than Randy’s by 15 miles per hour

so,

Andy's speed =x-15

Randy drove 540 miles

so, we can find time taken by Randy

time = distance / speed

so, we get

[tex]t_R=\frac{540}{x}[/tex]

we can find time taken by Andy

time = distance / speed

so, we get

[tex]t_A=\frac{135}{x-15}[/tex]

Randy drove 540 miles in three times the time it took Andy to travel 135 miles

so,

[tex]t_R=3t_A[/tex]

we can plug it

[tex]\frac{540}{x}=3*\frac{135}{x-15}[/tex]

now, we can solve for x

[tex]540\left(x-15\right)=405x[/tex]

[tex]135x=8100[/tex]

[tex]x=60[/tex]

so,

Calculation of rate:

Randy's speed is 60 mph

Andy's speed =x-15

Andy's speed =60-15=45mph

Calculation of time:

Randy's time is

[tex]t_R=\frac{540}{x}[/tex]

[tex]t_R=\frac{540}{60}[/tex]

[tex]t_R=9 hours[/tex]

Andy's time is

[tex]t_A=\frac{135}{x-15}[/tex]

[tex]t_A=\frac{135}{60-15}[/tex]

[tex]t_A=3 hours [/tex]


Centered 7 meters above the ground, a Ferris wheel of radius 6 meters is rotating with angular speed 24 degrees per second.
a. Assuming that you begin at time t = 0 seconds at the lowest point on the wheel, find a formula that describes the distance h (in meters) from you to the ground after t seconds of riding.
b. At what times are you 10 meters above the ground? Please explain clearly how you got your solution.

Answers

24 degrees per second is 360 degrees in 15 seconds (pretty fast for a Ferris wheel!).

a) The distance above the ground can be modeled using a cosine function.
.. h(t) = 7 -6cos(2πt/15)


b) h(t) = 10
.. 10 = 7 -6cos(2πt/15)
.. (10 -7)/-6 = cos(2πt/15)
.. 2πt/15 = π ±π/3 +2kπ
. t = 7.5*((1 ±1/3) +2k) . . . . . . . . seconds; k = any integer

You are 10 meters above the ground at t=5 seconds and every 15 seconds thereafter, as well as at t=10 seconds and every 15 seconds thereafter.


simplify the expression. write the answer using scientific notation 4(6.2x10^11)

Answers

Answer:
= 2.48 × 10¹²
(scientific notation)

= 2.48e12
(scientific e notation)

= 2.48 × 10¹²
(engineering notation)
(trillion; prefix tera- (T))

= 2480000000000
(real number)

The correct answer is 2.48*10^12.

Why is the quotient of three divided by one-fifth different from the quotient of one-fifth divided by three?

Answers

Final answer:

The quotients are different because the order matters in division. When 3 is divided by 1/5 it becomes a multiplication problem with reciprocal of 1/5, yielding 15. However, when 1/5 is divided by 3, it becomes multiplication with reciprocal of 3 and yields 1/15.

Explanation:

The reason that the quotient of three divided by one-fifth is different from the quotient of one-fifth divided by three is due to how division works in mathematics. To put it simply, the order of numbers in a division operation matters; it is not commutative like addition or multiplication.

When you divide 3 by 1/5, you're essentially asking, 'how many times does 1/5 fit into 3?'. Here, you're dealing with fractions and whole numbers. To perform the division, we multiply 3 by the reciprocal of 1/5, which is 5. The answer is 3 * 5 = 15.

But, when you divide 1/5 by 3, you're asking 'how many times does 3 fit into 1/5?'. Here, you need to multiply 1/5 by the reciprocal of 3, which is 1/3. The calculation is (1/5) * (1/3) = 1/15.

Learn more about Division Operations here:

https://brainly.com/question/12984208

#SPJ12

What is the distance between point l (3,5) and point m (9,−7)?

Answers

√((-7-5)²+(9-3)²)=√(12²+6²)=√180=√(9*4*5)=6√5=13.42
◆ CO-ORDINATE GEOMETRY ◆

[tex]We \: are \: given \: the \: co - ordinates \: \: , \\ \\ l(3,5) \: \: \: \: \: \: and \: \: \: \: \: m(9, - 7) \\ \\ \\ By \: distance \: formula \: \: , \: \\ distance \: between \: two \: points \: \\ \\ (x1,y1) \: \: \: and \: \: \: (x2,y2) \: \: \: is \: given \: by \: , \\ \\ \sqrt{ {(x2 - x1)}^{2} + ( {y2 - y1)}^{2} } \\ \\ here \: , \: \: \\ (x1,y1) = (3,5) \: \: and \: \\ (x2,y2) =(9, - 7) \\ \\ Distance \: lm \: = \sqrt{ {(9 - 3)}^{2} + ( { - 7 - 5)}^{2} } \\ \\ lm = \sqrt{ {6}^{2} + ( { - 12)}^{2} } \\ \\ lm = \sqrt{36 + 144} \\ \\ lm \: = \sqrt{180} = 6 \sqrt{5} \: \: \: \: \: ans.[/tex]

what is the inverse of the function f(x) = 4x + 8 a. h(x) 1/4 x - 2

Answers

Hello,

The function is y=4x+8.
We exchange x and y ==>x=4y+8
and we seach y:
4y=x-8 ==>y=(x-8)/4 ==> y=x/4-2
Answer A

The inverse of the function will be, ⁣[tex]\rm y=\frac{1}{4} x-2[/tex]. Option A is correct. The function is obtained by rearranging the equation.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The given function is;

[tex]\rm f(x) = 4x + 8 \\\\ y=4x+8 \\\\[/tex]

After rearranging the equation, we get;

[tex]\rm x=4y+8 \\\\ y= \frac{1}{4} (x-8)\\\\ y=\frac{x}{4} -2\\\\ y=\frac{1}{4} x-2[/tex]

The inverse of the function will be, ⁣[tex]\rm y=\frac{1}{4} x-2[/tex].

Hence, option A is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

Raj writes a polynomial expression in standard form using one variable, a, that has 4 terms and is degree 5.



Nicole writes a polynomial expression in standard form using one variable, a, that has 3 terms and is degree 2.

Raj and Nicole’s polynomial expressions are added to create a sum, written in standard form.

What can you determine about the degree of the sum?

The sum will be degree
.



What can you determine about the number of terms of the sum?

The maximum number of terms of the sum is
, but it could be less.

Answers

Raj writes to polynomial expression in standard form using one variable, a, that has 4 terms and is degree 5
 Could for example be the following polynomial:
 Aa ^ 5 + Ba ^ 3 + Ca + D

 Nicole writes a polynomial expression in standard form using one variable, a, that has 3 terms and is degree 2

 The polynomial is:
 Ea ^ 2 + Fa + G

 Adding both polynomials we have:

 (Aa ^ 5 + Ba ^ 3 + Ca + D) + (Ea ^ 2 + Fa + G)
 Aa ^ 5 + Ba ^ 3 + Ea ^ 2 + (C + F) a + (D + G)

 Answer: 
 The sum will be degree = 5 
 The maximum number of terms of the sum is 6, but it could be less. (5 in our example)

Answer:

the sum will be degree 5

the maximum number of terms of the sum is 6

Step-by-step explanation:

PLEASE CHECK THIS FOR ME

LET ME KNOW IF ITS CORRECT

Answers

1) W(n)=15 . b^n

Initial numbers of horse: W(0)=?
n=0→W(0) = 15 . b^0
W(0)= 15 . 1
W(0)= 15

Answer: Based on the model, the initial number of horses is 15.

2) If b=1.35, the annual percent growth rate of the number of horses: r=?
b=1+r
1+r=1.35
Solving for r:
1+r-1=1.35-1
r=0.35
r=0.35*100%
r=35%

Answer: If b=1.35, the annual percent growth rate of the number of horses would be 35 %.

You have been really sick, so you went to the doctor. The culture taken shows you have 400,000 bacteria. Your doctor prescribes a strong antibiotic which makes the bacteria decrease by a half every 4 hours. How many bacteria will be left after a day?

Answers

Why did you delete my answer?


find the fraction
53*53−32*32/61*61−44*44

Answers

53 x 53 - 32 x 32 / 61 x 61 - 44 x 44
2809 - 1024 / 3721 - 1936
Then subtract
1785 / 1785 = 1
The answer is 1. So the fraction is a whole number
Hope this helps

Help. I need to explain if she’s right or not

Answers

The triangular pyramid is made of 4 congruent triangles. They all have the same shape and size, so they have the same area. The area of one triangle is

A = b*h/2
A = 5*4.3/2
A = 10.75

So four of them lead to a total surface area of 4*10.75 = 43 square meters

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The rectangular prism has the dimensions
L = 5
W = 5
H = 4.3

The surface area is found through the formula below
SA = 2*(L*W+L*H+W*H)
SA = 2*(5*5+5*4.3+5*4.3)
SA = 136

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So far we found that
surface area of pyramid = 43 square meters
surface area of prism = 136 square meters

Dividing the values, we get 136/43 = 3.16279 approximately. The result is not equal to 2, so Susan's statement is not correct. The prism has more than twice the surface area of the pyramid

The pyramid has 4 faces, each of which has an area that is 1/2*4.3*5 m^2.

The prism has 4 faces that have an area of 4.3*5 m^2 (double the area of the triangular faces) in addition to 2 faces that have an area of 5*5 m^2.

The prism must have an area more than double that of the pyramid, as it has additional faces beyond those that have double the area of the pyramid.

1.Which explanation justifies how the area of a sector of a circle is derived?


Determine how many triangles can fit into a circle. Divide 360° by the number of triangles. Multiply the quotient by ​the area of the circle​ .

Calculate the area of the circle. Then, determine the central angle of the sector and divide this angle by 360° to get a fraction. Multiply ​the area of the circle​ by this fraction.

Determine the degree of the sector. Divide by 180° and then multiply it by the area of the triangle the sector is in.

Partition the circle into unit squares. Determine the area of the sector and multiply the area by the degree of the circle.

Answers

the correct answer is 
2) Calculate the area of the circle. Then, determine the central angle of the sector and divide this angle by 360° to get a fraction. Multiply ​the area of the circle​ by this fraction.
area of the circle is calculated by;
area = πr² , where r- radius of circle
the central angle of a circle is 360°. Area of the circle is calculated for central angle of 360°. 
Sector is when 2 arms/ radii enclose a central angle between them.
area for 360° = πr²
area for 1 °    = area/ 360
area for central angle of sector = area * angle/ 360
the angle of sector is divided by 360 and taken as a fraction .this fraction of the total area of the circle is taken as the area of the sector.

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