If t(n) = 15 - 2.5n, how do I find t1,t2,t3,and tn+1? I also have to express tn+1-tn in its simplest form.

Answers

Answer 1

Answer:

Just substitute, and the simplified form is 1

Step-by-step explanation:

Substitute the values needed into the original equation. For example, if n=1

t(1)=15-2.5(1)=15-2.5=12.5. Or, if tn+1 substitute f(tn+1)=15-2.5(tn+1) and simplify.

tn+1-tn in its simplest form is just 1, as tn and -tn cancel out to leave 1.


Related Questions

To be able to buy a new computer, Salma decides to save for 4 years. She opens a savings account with $600. The account pays simple interest at an annual rate of 5%. She doesn't make any more deposits.

Answers

Answer:

5% of 600 is 30, then you multiply the 30 by the 4 years which gives you 120. then you add the original 600 with the 5 person from the four years which is 120 that comes to 720. so 720 is how much is in salma's account after 4 years.

What is the solution for the equation 6x - 8 = 4x?
Ox= 0.8
Ox= 4
Ox= 8
Ox= 16
HELP ASAP

Answers

x=4

i attached the work below. have a good day!

The longest side of a triangle is 30 inches long. Two of the angles have measures of 45 and 79. Solve the triangle.

Answers

Answer:

Step-by-step explain

180 -(45+79) = 124

answer: 124

Find all real zeros of the function algebraically -5(x^2+2x-4)

Answers

[tex]−5(²+2−4)[/tex]

[tex]−5²−10+20[/tex]

Solution :—

[tex]−5²−10+20[/tex]

Answer:

Step-by-step explanation:

-5(x² + 2x - 4) = -5x² - 10x + 20

a = -4  ; b = -10  ; c = 20

D = b² - 4ac = (-10)² - 4*(-4)*20

   = 100 + 320 = 420

[tex]\sqrt{D}=\sqrt{2*2*3*5*7}=2\sqrt{105}\\\\x=\dfrac{-b+\sqrt{D}}{2a} \ ; x =\dfrac{-b-\sqrt{D}}{2a}\\\\\\x=\dfrac{10+2\sqrt{105}}{2*(-5)} \ ; \ x =\dfrac{10-2\sqrt{105}}{2*(-5)}\\\\\\x = \dfrac{2*(5+\sqrt{105})}{2*(-5)} ; \ x =\dfrac{2*(5-\sqrt{D})}{2*(-5)}\\\\\\x =\dfrac{5+\sqrt{105}}{-5} \ ; \ x=\dfrac{5-\sqrt{105}}{-5}\\\\\\x=\dfrac{-5-\sqrt{105}}{5} \ ; \ x =\dfrac{-5+\sqrt{105}}{5}[/tex]

A delivery truck weighs 5.5 tons before it is loaded with packages. Once the delivery truck is full of x packages it weighs 6.1 tons.
Each package in the truck weighs 0.0075 tons.
How many packages are on the truck?
Enter your answer in the box
packages

Answers

Answer:

80 packages

Step-by-step explanation:

0.0075*80= 0.6            5.5 + 0.6= 6.1

Can you please help with number three

Answers

AAA SSS three angles and three sides could be very different

Answer:

AAA and SSA are not real theorems

Step-by-step explanation:

Side Side Angle is not a valid theorem because the unknown side could be located in two different places which would not prove the triangles congruent.

Angle Angle Angle is also not a valid theorem because all the angles might have congruent measures but that doesn't mean the sides will have the same measures therefore AAA cannot prove triangles congruent.

The rest are valid congruence theorems.

please help me
math math math

Answers

Your answer A12/A6= A6

Answer:A12/A6= A6

Step-by-step explanation:

Which series of transformations shows that pentagon A is congruent to pentagon B?


A.
Rotate pentagon A 90° clockwise about the origin, translate it 5 units down, and reflect it over the y-axis.

B.
Rotate pentagon A 90° clockwise about the point (4, 1), and reflect it over the y-axis.

C.
Translate pentagon A 5 units to the left, rotate it 90° clockwise about the origin, and reflect it over the x-axis.

D.
Translate pentagon A 5 units down, rotate it 90° clockwise about the point (5, 2), and reflect it over the y-axis.

Answers

Answer:

Its A i just did it

Step-by-step explanation:

Kareem is paid $72 for working 8hours.how much would he have been paid to work only 5hours

Answers

72/8 = 9
this means he gets $9 per hour

9x5=45

so if he worked only 5 hours he would make $45

Identify the terms and like terms in the expression -2n + 7n - r + 10r

Answers

5n + 9r

Hope this helps :)

Find the selling price is a store pays $12 for a book and the markup is 25%.

Answers

Answer:

$15

Step-by-step explanation:

use a calculator and type 25%x12 and you will get 3

so 3 is 25% of 12

add 12 and 3 together to get your answer. $15

Answer:

$15

Step-by-step explanation:

$12 + 25% = $15

Can someone help me please

Answers

X equals 36 while y equals 54

Answer:

x+54°=90° ( Given)

x=36°

x+y°=90°

y=90°-36°

y=54°

Hope this help!

Given that y varies inversely as x, and y = 8 when x = 3, what is the value of y when x = 12?

Answers

Answer:

y = 2 when x =12

Step-by-step explanation:

y = k/x ..............as y varies inversely as x

8 = k/3

k = 8 * 3

k = 24

So,

y = k/x

y = 24/12

y = 2

Answer:

"y=32"

is the answer

Step-by-step explanation:

x=3 > y=8

x=3+3+3+3=12 then y=8+8+8+8=32

PLEASE HELP FAST!!!!

Answers

Answer : 18x3+57x2+38x+7
Hope this helps !

Solve the inequalities please

Answers

[tex]\huge\text{Answer:}[/tex]

Inequality number 1: x≥7

Inequality number 2:  x<3

Inequality number 3: x≤-2

Inequality number 4: x≤7

[tex]\huge\text{Solution:}[/tex]

1. 3x+12-6x≤-9

3x-6x+12≤-9

Subtract the x's:

-3x+12≤-9

-3x≤-9-12

-3x≤-21

3x≥21

x≥7

2. x+5x-6<12

6x-6<12

Move 6 to the right, using the [tex]\bold{\underline{opposite ~operation}}[/tex]:

6x<12+6

6x<18

Now, divide both sides by 6:

x<3

3. 5(x+8)-7≤23

Use the Distributive Property:

5x+40-7≤23

5x+33≤23

5x≤23-33

5x≤-10

x≤-2

4. 4x-6≥6x-20

4x-6x≥-20+6

-2x≥-14

2x≤14

x≤7

___________________________

Note:

If we divide both sides of the inequality by a negative variable, we flip the inequality sign.

___________________________

Hope you find it helpful.

Feel free to ask if you have any doubts.

#1

3x+12-6x≤-9-3x+12≤-9-3x≤-213x≥21x≥7

#2

x+5x-6<126x<18x<3

#3

5(x+8)-7≤235x+40≤305x≤-10x≤-2

#4

4x-6≥6x-20-2x≥-14x≤7



What is the complete factorization of 5x2 - 11x - 12?

Answers

Answer:

(x-3)(5x+4)

plx give me a brainliest if its correct

What is the answer to x and y

Answers

Answer:

y= 128,  x=52

Step-by-step explanation:

The Sum of all the angles in a quadrilateral is 360.

y is 128 because both those angles are equal

the other 2 angles are also equal to each other.

360 - 128-128= 104

104/2 is 52

Answer:

Step-by-step explanation:

y = 128

x + y = 180 {Supplementary}

x + 128 = 180

x = 180 - 128

x = 52

Write the prime factorization of 24. Order the factors from least to greatest ( for example, 2 x 2 x 3 x 5)

Answers

Answer:

2×2×2×3

Step-by-step explanation:

[tex]24 = 8 \times 3 \\ factorize8 \\ 8 = 2 \times 2 \times 2 \\ therefore \: the \: prime \: \\ factrization \\ \: is \\ \: 24 = 2 \times 2 \times 2 \times 3[/tex]

If I am correct please follow

What are the factors of 24?

What are factors?

A factor is a number or digit that a number is divisible by.

24 is divisible by

1, 2, 3, 4, 6, 12, 24.

Now, what about prime factors? Prime numbers are only divisible by 1 and themselves.

Thus, the prime factorization  of 24 is

2*2*2*3

Hope you find it helpful.

Feel free to ask if you have any doubts.

-MistySparkles*

2x² + 5x+2
Ac method??

Answers

Answer:

the answer is c

Step-by-step explanation:

correct answer only need urgent help

Answers

Answer:

Step-by-step explanation:

Use the formule V=4/3 *Pi*R^3

where R =10

so V=4/3*Pi*10^3

v= 4000Pi/3 =4188.7902

X - 5y=7
2x + 7y=-20
Substitution

Answers

Answer: (x,y) = (-3, -2)

Step-by-step explanation:

yb better

What is X equal to? PS it’s not 180

Answers

X = 47*

Explanation:
So to find x you first find 2x = ?
86* + 2x* = 180
180* - 86* = 94*
2x* = 94*
94/2 = 47*
X = 47*

Answer:

x=47

Step-by-step explanation:

all straight lines add up to 180°

we can work out x using this

we do:

180-86=94 to work out what 2x equals to

then we do

94/2=47 to find out what x equals to

x=47

hope this helps!

Hi, can I get an answer ASAP? Thanks!

Answers

Answer:

X = 148

Step-by-step explanation:

Opposite angles are equal

Dave is packing 23 sweaters into boxes.
Each box will hold 3 sweaters. How
many boxes will Dave fill? How many
boxes will he need? Explain.

Answers

Answer:

He will completely fill 7 boxes, although in that case, not all sweaters would be in. He needs 8 boxes so that all of the sweaters can fit- even if there's leftover space.

Step-by-step explanation:

23 / 3 = 7.6 ( 1s.f)

Answer:

Dave will fill 7 boxes, and will need 8 boxes.

Step-by-step explanation:

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Above is 23 sweaters, where 7 boxes will hold 3 sweaters and only one will hold 2 sweaters.

The area of the triangle below is 10.6 square centimeters. What is the length of the
base?
4 cm

Answers

Answer:

6 cm

Step-by-step explanation:

The area of a triangle is [tex]\frac{bh}{2} = A[/tex], where b = base, h = height, and A = area. In this case, we're given the height as 4 cm and the area as 6 cm^2.

Let's plug in these values.

[tex]\frac{4b}{2} = 6[/tex]

Now, let's solve this algebraically.

Step 1: Multiply both sides by 2.

[tex]\frac{4b}{2} * 2 = 6 * 2[/tex] [tex]4b = 12[/tex]

Step 2: Divide both sides by 4.

[tex]\frac{4b}{4} = \frac{12}{4}[/tex] [tex]b = 3[/tex]

Step 3: Check if solution is correct.

[tex]\frac{3*4}{2} = 6[/tex] [tex]\frac{12}{2} = 6[/tex] [tex]6 = 6[/tex]

Therefore, the base is 6 cm. (but don't put the cm in the box because it's already there)

Have a lovely rest of your day/night, and good luck with your assignments! ♡

can anyone help? does anyone know the last answer? its 3.

Answers

346664+35788-9549045=rotor;
Sryyy

Alice has 2 number cubes, labeled 1 to 6. If she rolls both number cubes what is the probability that she will get a sum of 11?

Answers

Using the probability concept, it is found that there is a 0.0556 = 5.56% probability that she will get a sum of 11.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

Two cubes, each with 6 outcomes are rolled, hence there is a total of 6² = 36 outcomes.Of those, in two of them, which are (5,6) and (6,5), a sum of 11 is obtained.

Then:

[tex]p = \frac{2}{36} = \frac{1}{18} = 0.0556[/tex]

0.0556 = 5.56% probability that she will get a sum of 11.

You can learn more about the probability concept at https://brainly.com/question/15536019

Find K' if the figure is reflected across the x-axis

Answers

Answer:  K ' is at (1, 4)

Explanation:

Point K is located at (1, -4)

We use the rule that [tex](x,y) \to (x,-y)[/tex] when reflecting over the x axis.

The x coordinate stays the same, but the y coordinate flips from positive to negative or vice versa.

Therefore, K(1,-4) will move to K ' (1, 4)

I need this done :( please

Answers

#b

x+4y=-26--(1)x-4y=8--(2)

Solve graphically

Solution is(-9,-4.25)

#c

x+y=2--(1)-3x-y=5--(2)

Solution is(-3.5,5.5)

Both graphs attached

Answer:

Question b

[tex]\textsf{Equation 1:} \ \dfrac12x-2y=-13[/tex]

[tex]\textsf{Equation 2:} \ x-4y=8[/tex]

Multiply Equation 2 by two:

[tex]\implies \textsf{Equation 3:} \ x+4y=-26[/tex]

Subtract Equation 2 from Equation 3:

[tex]\begin{aligned}x-4y & =8\\- \ \ \ x+4y & =-26\\\cline{1-2}-8y & =34\end{aligned}[/tex]

Solve for y:

[tex]\implies -8y=34[/tex]

[tex]\implies y = -\dfrac{17}{4}[/tex]

Substitute found value of y into Equation 2 and solve for x:

[tex]\implies x-4\left(-\dfrac{17}{4}\right)=8[/tex]

[tex]\implies x+17=8[/tex]

[tex]\implies x=-9[/tex]

Question a

[tex]\textsf{Equation 1:} \ x+y=2[/tex]

[tex]\textsf{Equation 2:} \ -3x-y=5[/tex]

Add Equation 1 and Equation 2:

[tex]\begin{aligned}x+y & = 2\\+ \ \ \ -3x-y & =5\\\cline{1-2}-2x & = 7\end{aligned}[/tex]

Solve for x:

[tex]\implies -2x=7[/tex]

[tex]\implies x = -\dfrac{7}{2}[/tex]

Substitute found value of x into Equation 1 and solve for y:

[tex]\implies \left(-\dfrac{7}{2}\right)+y=2[/tex]

[tex]\implies y=\dfrac{11}{2}[/tex]

Which set of numbers form a right triangle?
a. 3.2, 1.3, 2
b. 4, 2.1, 5
C. 5, 13, 12​

Answers

The answer should be C because if you take the two smaller number, squared them, and add them, they should equal to the biggest number in the least squared.

Step-by-step explanation:

Pythagoras must be true :

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90° angle), and it is always the longest of the 3 sides.

so, the sum of the squares of the 2 smaller numbers must be the square of the largest number.

1.3² + 2² = 1.69 + 4 = 5.69

that is NOT 3.2² = 10.24

so, this is NOT a right-angled triangle.

2.1² + 4² = 4.41 + 16 = 20.41

that is NOT 5² = 25

so, this is NOT a right-angled triangle.

5² + 12² = 25 + 144 = 169 = 13²

so, yes, this is a right-angled triangle.

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