Find the first three terms of the sequence:
a₁ = 2.25, an = an-1 +0.5

Answer:

(m-4) / (5m)

Step-by-step explanation:

((m²-16) / (5m)) / (m+4) =

(m²-16) / (5m(m+4)) =

m²-16 / (5m²+20m) =

(m-4) / (5m)

So, Todd picked 1 apple.

We can use the information given to set up the following equations:

Let x be the number of apples Jack picked, and y be the number of apples Marta picked.

We know that x + y = 16 (Jack and Marta pick a total of 16 apples)

Let y be the number of apples Marta picked, and z be the number of apples Rand picked.

We know that y + z = 15 (Marta and Rand pick a total of 15 apples)

Let z be the number of apples Rand picked, and w be the number of apples Todd picked.

We know that z + w = 13 (Rand and Todd pick a total of 13 apples)

We know that the total number of apples picked is 45, therefore x + y + z + w = 45

We can use the equation x + y = 16 to express x in terms of y:

x = 16 - y

We can substitute this into the other equations

(16 - y) + y = 16

y + z = 15

z + w = 13

We can sum all the equations:

(16 - y) + y + y + z + z + w = 45

16 + 2y + 2z + w = 45

From the equation y + z = 15, we can substitute y = 15 - z

16 + 2(15 - z) + 2z + w = 45

16 + 30 - 2z + 2z + w = 45

46 + w = 45

w = 1

Therefore Todd picked 1 apple.

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Answer:

Cubic

Step-by-step explanation:

It's cubic because the 3 on top of the n means that it's cubic. Also since it's cubic, when you graph it it will show that it's a cubic function. Hope this helps!

Answer:

C=5/9F−5/9(32)

you can see the slope of the graph is 5/9, which means that for an increase of 1 degree Fahrenheit, the increase is 5/9 of 1 degree Celsius. Therefore, statement I is true.

This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 9/5 degrees Fahrenheit. Since 95 = 1.8, statement II is true.

On the other hand, statement III is not true, since a temperature increase of 9/5 degrees Fahrenheit, not 5/9 degree Fahrenheit, is equal to a temperature increase of 1 degree Celsius.

The final answer is D.

Answer:

y=7/2 and x=6

Step-by-step explanation:

2x−6y=−2y−2 can be turned into x=2y−1.

Now you can substitute the equations.

−6x−4y=−2x−38

−6(2y−1)−4y=−2(2y−1)−38

Then you can simplify.

−12y+6=−36

−12y=−42

y=7/2

Then you can substitute y to find x.

x=2y−1

x=2(7/2)-1

x=6

And then our answers are y=7/2 and x=6.

Hope this helped! :)

Answer:

1. (-3,1) (3,-2) (1,5) (4,6) 2. (7,-5) (-8, -6) (-2,1) (3,10)

Step-by-step explanation:

To find the inverse of ordered pairs you need to switch their orders. For example, given (-2, 5) and told to find the inverse, your answer would be (5, -2).

Answer: N= x24 over 3

Step-by-step explanation:

Answer:

log(15)-log(7)

Step-by-step explanation:

just trust me cuh

Answer:

A 85 hope it helps you

thank you

Answer:

triangle GHK

Step-by-step explanation:

angles add up to 180

angle N + angle M + angle O = 180

79 + 22 + angle N = 180

180 - 79 -22 = angle N = 79

triangle GHK has 2 of the same angles (79 and 79), so that is our answer

Answer:

The answer should be 3 cubic cm

Step-by-step explanation:

First you have to get the area of the right triangle base 1/2 bh. That would be 2x3/2=3

To find volume, you plug the area in the volume formula

v=1/3 ah

v=1/3 (3)(3)

1/3(9) would be 3 cubic cm

Answer:

c) 180

Step-by-step explanation:

each angle of the triangle is 90

Answer:

the answer is c. 180° :))

Answer:

Please dont delete

Explanation:

Hello. I am sorry that I can not answer your question but I am doing this so I can get answers of my own. I appreciate your understanding and I hope you get your answer soon. Good luck!

Answer:

A

Step-by-step explanation:

2^2 and 3^2 = 4 + 9 = 13

Answer:

12/25 = .48

15/35 = .42857143...

Answer:

The cost of three would be $720.

Step-by-step explanation:

First you need to divide 480 by 2 which gives you 240. 240 is the cost of one iPad so 240 times 3 is 720.

Answer:

Step-by-step explanation:

Karleebordelon6 has a wonderful answer, but I will provide a slightly different approach.

This can be solved by using proportions.

Take a look:

[tex]\frac{2 (ipads)}{480 (dollars)} =\frac{3 (ipads)}{x}[/tex]

After setting up the proportion, we can cross multiply.

[tex]480 * 3 = 1440\\[/tex]

[tex]2 *x = 2x[/tex]

Lastly, divide both products.

[tex]2x = 1440[/tex]

[tex]1440/2 = 720[/tex]

Therefore, the total cost of 3 iPads is $720.

In other words, x = 720.

[tex]\frac{2(ipads)}{480(dollars)} =\frac{3( ipads)}{720(dollars)}[/tex]

Answer:

20x²

-5xy

14y²

Step-by-step explanation:

17x² + 3x² = 20x²

-3xy - 2xy = -5xy

14y²

Answer:

42.5 (students that are on each bus)

Step-by-step explanation:

181 (students)-11 (students in cars) =170 students left

170(students left)÷4(buses)= 42.5(students that are on each bus)

Hope this help you

To write an expression in factored form, its products needs to be deduced.

What is an expression?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.

Factoring is the process of representing a given number or algebraic statement as the product of its components.

For example - Consider the binomial 3x^2-9x.

On simplifying it -

3x^2-9x = 3x(x-3)

So, here 3x^2-9x is the expanded form and 3·x·(x-3) is the factored form.

Another example is - Consider y^2-100.

The terms used here can all be expressed as squares.

y^2 − 100 = y^2 − 10^2

(y + 10)(y − 10)

The factors in this case are (y + 10) and (y - 10).

Therefore, the products are the factors of an expression.

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We calculated   volume of pyramid = 160 cubic inches and surface area = 214.59 square inches.

A three-dimensional geometrical figure having flat polygon base along with a number of lateral triangular shaped faces.

The given pyramid is a rectangular pyramid having length 10 inch and width 8 inch. The height of pyramid is 6 inches.

length, l = 10 inch

width, w = 8 inch

height, h = 6 inch

Now the volume will be, V = 1/3 × l × w ×h

                                       V = 1/3 × 10 × 8× 6

hence, the volume = 160 cubic inches

We calculate the surface area of the given pyramid,

formula for surface area, SA = l × w + 1/2 × w ×√(4h²+l²) + 1/2 × l ×√(4h²+w²)

SA = 10 × 8 + 1/2 × 8 ×√(4×6²+10²) + 1/2 ×10×√(4×16²+8²)

Surface area = 214.593 square inches

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Answer:

[tex]{\small{\boxed{\sf{\red{here \: is \: your \: solution..}}}}} \\ \\ {\small{\boxed{\sf{\purple{ = (2x {}^{2} - 5x + 7) - (7x {}^{2} + 3) }}}}} \\ \\ {\small{\boxed{\sf{\purple{ = 2x {}^{2}- 5x + 7 - 7x {}^{2} - 3 }}}}} \\ \\ {\small{\boxed{\sf{\pink{ = - 5x {}^{2} - 5x + 4 }}}}} \\ \\ [/tex]

[tex]\small\mathfrak\green{hope \: it \: helps... |...| }[/tex]

Step-by-step explanation:

soln:

In right-angled triangle,

hypotenuse (h)=20mm

base(b)=12mm

perpendicular (p)=?

Now,using Pythagoras theorem,

h^2=p^2+b^2

or, 20^2=p^2+12^2

or,400-144=p^2

or,p=√256

thus,p=16mm

Now,

perimeter= sum of all three sides

i.e. p=20+12+16=48 Ans

Answer:

4

Step-by-step explanation:

Given data

Number of student= 3

Total amount= 12000

Ratio= 6:5:x

Combined ratio= 6+5+x= 11+x

Applying the part to all method

if student number 2 got sh 4000

then

5/11+x= 4000/12000

5/11+x= 1/3

cross multiply

11+x= 15

x= 15-11

x= 4

Hence the value of x is 4

let's hmmm hmmm multiply both sides by the LCD of all denominators, that way we do away with the denominators and see what "x" is

[tex]\cfrac{x+1}{2}+\cfrac{x+2}{3}=3-\cfrac{x+3}{4}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{x+1}{2}+\cfrac{x+2}{3} \right)=12\left( 3-\cfrac{x+3}{4} \right)} \\\\\\ (6x+6)+(4x+8)=36-(3x+9)\implies 10x+14=36-3x-9 \\\\\\ 10x+14=27-3x\implies 10x=13-3x\implies 13x=13 \\\\\\ x=\cfrac{13}{13}\implies x=1 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{1-4x}{10}-\cfrac{2x+1}{2}=\cfrac{5x+1}{5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{10}}{10\left( \cfrac{1-4x}{10}-\cfrac{2x+1}{2}\right)=10\left( \cfrac{5x+1}{5} \right)} \\\\\\ (1-4x)-(10x+5)=10x+2\implies 1-4x-10x-5=10x+2 \\\\\\ -14x-4=10x+2\implies -4=24x+2\implies -6=24x \\\\\\ \cfrac{-6}{24}=x\implies -\cfrac{1}{4}=x[/tex]

Santiago can make 7 dumplings

To find out how many dumplings Santiago can make, we need to divide the total amount of dough (5 11/16 cups) by the amount of dough used per dumpling (13/16 cups).

To do this, we can first convert the fractions to have a common denominator. In this case, the denominator of 13/16 is 16, so we can convert 5 11/16 to have a denominator of 16 as well:

5 11/16 = (5 * 16) + 11/16 = 80 + 11/16

Now we can divide:

(80 + 11/16) ÷ (13/16) = (80 + 11) ÷ 13 = 91 ÷ 13

So Santiago can make 91/13 dumplings. This can be simplified further to 7 dumplings. So Santiago can make 7 dumplings with 5 11/16 cups of dough.

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9514 1404 393

Answer:

  B.  dividends

Step-by-step explanation:

You're looking for an income item.

Expenses, contributions, and loan interest are amounts paid, not amounts received. The only income item listed is "dividends."