Melissa has started training for a race. The first time she trains, she bikes 5 miles. Each subsequent time
she trains, she bikes 0.5 mile farther than she did the previous time.
a) Use summation notation to write an arithmetic series to represent the total distance Melissa has biked
after she has trained n times. (2 points)
b) Use the formula for a partial sum of the series you wrote in part a, above, to answer this question: What
is the least number of times Melissa must bike for her total distance biked during training to exceed 60
miles? (3 points)

Answers

Answer 1
It’s 59000000000099999999 miles
Answer 2

Answer:

55

Step-by-step explanation:


Related Questions

John had 2 ¼ cans of paint leftover after painting his mural. Ann had 3 ⅜ cans leftover. How much paint was leftover altogether?

Answers

Answer:

5 5/8 or Decimal: 5.625

Step-by-step explanation:

Hope this helps!!!

Brainliest?

Haya la integral de xarcsenx/((1-x^2)^1/2). Utiliza la sustitución de t= arcsenx
Mi duda está la final, cuando queda - tcost + sent + k, no sé cómo sustituir t= arcsent

Answers

Answer:

Explicación más abajo

Step-by-step explanation:

Integración Indefinida

La integral

[tex]I=\int \dfrac{x .arcsen\left(x\right)}{\sqrt{1-x^2}}[/tex]

Se resuelve con el cambio de variables:

t=arcsen(x)

Una vez hechos los cambios, la integral se resuelve en función de t:

[tex]I=sen(t)-t.cos(t)+C[/tex]

Hay que devolver los cambios para mostrarla en función de x.

El cambio de variables también se puede escribir:

x=sen(t)

Recordando que

[tex]cos(t)=\sqrt{1-sen^2(t)}[/tex]

Entonces:

[tex]cos(t)=\sqrt{1-x^2}[/tex]

Devolviendo los cambios:

[tex]I=sen(t)-t.cos(t)+C=x-arcsen(x)\sqrt{1-x^2}+C[/tex]

Es la respuesta correcta

At a sale, dresses were sold for $22 each. This price was 55% of a dress's original price. How much did a dress originally cost? Answer: Submit Answer attempt 1 out o Privacy Policy Terms of Service acer​

Answers

Answer:

$9.90

Step-by-step explanation:

The prime factorizations of 16 and 24 are shown below.
Prime factorization of 16: 2, 2, 2, 2
Prime factorization of 24: 2, 2, 2, 3
Using the prime factorizations, what is the greatest common factor of 16 and 24?
2
22
2.2.2
2.2.223

Answers

Answer:

2 · 2 · 2 = 8

Step-by-step explanation:

16 = 2 · 2 · 2 · 2

24 = 2 · 2 · 2 · 3

GCF(16, 24) = 2 · 2 · 2 = 8

Answer:

hm

Step-by-step explanation:

g(x)=3x-5 find g(-2)

Answers

Answer:

g(2) = -11

Step-by-step explanation:

So, g(-2), basically meaning that x = -2.

Since we know that, we need to plug -2 into all of the x's.

g(2) = 3(-2) - 5

g(2) = -6 - 5

g(2) = -11

The required value of g(2) would be -11.

What are the functions?

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The function is given in the question following as:

g(x) = 3x-5

We have to determine the value of g(2) to the given function.

As per the given question, we have

⇒ g(x) = 3x-5

So, g(-2), this meaning that x = -2.

Now, substitute the value of x = -2 in the given function,

⇒ g(2) = 3(-2) - 5

⇒ g(2) = -6 - 5

Apply the addition operation, and we get

⇒ g(2) = -11

Therefore, the required value of g(2) would be -11.

Learn more about the functions here:

brainly.com/question/12431044

#SPJ2

When the price of Xis RM4 and the price of Y is RM10, which of the following combinations would be the intercept of axes
(X,Y) if you have an income of RM 100?
Select one:
A. (25X, 10Y)
B. (20X, 5Y)
C. (10X, 25Y)
D. (5X, 20Y)

Answers

I would say C but I’m not completely 100% sure

A tank is 4/5 full of water after drawing
off 190 liters,5 liters of water
is just 1/6 full .what is the capacity of the tank​

Answers

Answer: L300



Explanation:
(4/5)L
t - 190 = (1/6)L
---
(4/5)L - 190 = (1/6)L
(24/30)L - (5/30)L = 190
(19/30)L = 190
L = 190(30/19)

Pls help me with this ASAP

Answers

The answer is the first option, 3/1

Identify the graph that displays the depth of water in a swimming pool after the drain is opened.​

Answers

Answer:

option b is the answer because if we open drain then depth of water will decrease continuously with time and in option b graph it is clearly visible that depth and time are inversely proportional to each other so if time increases then depth of water decrease.

Answer:

b

Step-by-step explanation:

What is the value of p if the expression 4(n+7) is equivalent to (n+p)4?

Answers

Answer:

p = 7

Step-by-step explanation:

set the expressions = to each other

4(n+7) = 4(n+p)

distribute the 4 on both sides(multiplying the numbers on the inside)

4n+28 = 4n+4p

subtract the 4n from the right and left

28 = 4p

divide by 4

p = 7

Cube the following number
A. 1
B. 2
C. 4
D. 8

Answers

Answer: 1, 8, 64, 512

Step-by-step explanation:

1^3 = 1 * 1 * 1 = 1

2^3 = 2 * 2 * 2 = 8

4^3 = 4 * 4 * 4 = 64

8^3 = 8 * 8 * 8 = 512

A USB stick can store 1.1x10 power of 3
megabytes of data.
A hard drive can store 4x10 power of 4
megabytes of data.
How much more can the hard drive store?
Give your answer in standard form

Answers

Answer:

uhhh

Step-by-step explanation:

Answer:

3.82 x 10

Step-by-step explanation:

divide 4 x 10^4 by 1.1 x 10^3

4 divided by 1.1 is 3.81818181... and you subtract exponents to get 1

Estabon poured himself a hot beverage that had a temperature of 201 F then set it on the kitchen table to cool. The temperature of the kitchen was a constant 68F. If the drink cooled to 181F IN 4 minutes, how long will it take for the drink to cool to 104F?

Answers

Answer:

Fifteen minutes and twenty-four seconds.

Step-by-step explanation:

In four minutes, Estabon's drink cooled down 20 degrees (201 - 181 = 20). This means that the drink cooled down five degrees a minute. The drink must cool down 77 more degrees, (181 - 104 = 77). 77 divided by 5 is 15.4. 15.4 translated to seconds is 15 minutes and 24 seconds.

1) James needs to obtain $80,000 for his daughter's future college tuition. He is looking to invest in an
account that pays 3.1% annual interest. The account compounds quarterly. How much money would
James have to invest today so that 15 years from now, he will have the money?

Answers

Answer:

$ 50,340.97

Step-by-step explanation:

From the above question, we can deduce that we are to find the Initial amount invested which is also called the Principal.

The formula to find Principal in a compound interest question is:

P = A / (1 + r/n)^nt

Where:

A = Total Amount obtained after invested = $80,000

r = Interest rate = 3.1% = 0.031

n = number of times interest in compounded = Quarterly = 4

t = time in years = 15

P = $80,000/(1 + 0.031/4)^4 × 15

P = $80,000/(1 +0.00775)^60

P = $ 50,340.97

Hence, James would have to invest $50,340.97 today to have $80,000 in 15 years.

Find the distance represented by x

Answers

180

Explanation:
Set a equation of a ratio 120/90=x/135
And calculate!
90x=(120)(135)
90x=16200
x=180

the distance of X is 180ft

someone sells a product for 10 cents and he sells 1000 products, how much money did he earn

Answers

Answer:

$100

Step-by-step explanation:

10¢ × 1,000 = 10,000¢To convert to dollars: Cents ÷ cents in 1 dollarTo convert to dollars: 10,000¢ ÷ 100¢ = $100

I hope this helps!

He earns $100 from selling

if k(x)=x²-4 find k(2x)


1 -4
2-x²
3-2x²-4
4-4x²-4

Answers

Answer:

4. 4x² - 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function NotationCombining Like Terms

Step-by-step explanation:

Step 1: Define

k(x) = x² - 4

k(2x) is x = 2x

Step 2: Evaluate

Substitute in x:                    k(2x) = (2x)² - 4Exponents:                          k(2x) = 4x² - 4

I need help please and thanks

Answers

Answer:

68 degrees

Step-by-step explanation:

1 & 6 have to equal 180. Therefore, if 1 is 112 then you take 180-112. Then you get 68 degrees.

Answer:

Angle 6 would be 68 degrees

Step-by-step explanation:

Angles 1, 3, 5, and 7  all equal 112. you would subtract 112 from 180 to get the measurement for angles 2, 4, 6, and 8

Max bought a new pair of basketball shoes that were on sale for 25% off. If the regular price of the shoes was $75.95, what is the amount of discount?

Answers

$56.96

1) 75.95 x .25= 18.9875= 18.99
2) 18.99 -75.95= 56.96

How many minuets would it take me to get 10,000 points if I get 60 points every 5 minuets?

Answers

Step-by-step explanation:

833.3 I believe and u welcome if I'm right

It would take around 833.3 minutes to get 10,000 points

Hope this helps

What is 63 divided by 36?

Answers

Answer:

1.75

Step-by-step explanation:

used a calculator

Answer:

63÷36=1.75

Step-by-step explanation:

itz easy

mark me as a brainlist

[tex]\frac{r}{6} = 8[/tex]

what is r?

Answers

The answer is 48, hope that helps
My answer~

r = 48

My explanation~

r/6 = 8 // - 8

r/6-8 = 0

1/6*r-8 = 0 // + 8

1/6*r = 8 // : 1/6

r = 8/1/6

r = 48

And to check~

48/6

48 ÷ 6

=

8

:PP hope i helped!!have a good day :3

Robert bough 3/4 pound of grapes and divided them into 6 equal portions.
What is the weight of each portion?
*

Answers

Answer: The answer should be 0.125

Step-by-step explanation:

PLease guys help!!!

Ice has ________ energy.
1. mechanical
2. cold
3. heat

Answers

Answer:

ice has kinetic enery

Step-by-step explanation:

Ice has heat energy

ice has kinetic/heat

PLZ ANSWER IF U KNOW THE ANSWER​

Answers

Answer:

Scott

Step-by-step explanation:

you got it right, -20 absolute value is 20

Solve for a .

5.4 = a - (-1.8)


a =

Answers

5.4=a+1.8
5.4-1.8=a
a=3.6

Answer:

3.6 = a

Step-by-step explanation:

5.4 = a - ( -1.8)

Distribute minus sign.

5.4 = a + 1.8

Move constant to the left hand side and change their sign.

5.4 - 1.8 = a

3.6 = a

3. To make purple frosting, you start with white frosting.
Then you add 2 drops of red food coloring and 3 drops of
blue food coloring. If 4 red drops come out with the first
squeeze, how many blue drops should you add?

Answers

Answer:  6 drops of blue

==================================================

Explanation:

We basically mix red and blue to get purple. The ratio needed is 2 parts red, and 3 parts blue. We can shorten this by writing 2:3

Note how we can double both parts of the ratio to get 4:6, showing that 4 drops of red correspond to 6 drops of blue, which is the answer we want.

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

Another approach:

x = some positive real number

(2 parts red)/(3 parts blue) = (4 parts red)/(x parts blue)

2/3 = 4/x

2x = 3*4 .... cross multiply

2x = 12

x = 12/2 .... divide both sides by 2

x = 6

So 6 drops of blue go with 4 drops of red.

Rhonda's backyard has a rectangular patio that is 12.5 feet long,

Answers

Answer:

34992.66

Step-by-step explanation:

nice to know!

The equation Y= -8x + 1,000

Answers

Answer:

-8

Step-by-step explanation:

search up this website for the steps:

symbolab is the website

Answer:

That is a false equation

Step-by-step explanation:

The negative can't coninspire with the final result. There is no answer It is invalid. Your in collage. Lay off the parties and learn the basic functions of math

Jake decides to mow lawns for the first two weeks in June to earn money to buy a new bicycle . If the bicycle cost $153.73 and jake chargers $10.25 to mow each lawn, how many lawns will he need to mow in two weeks to buy the bicycle?

Answers

Answer:

14

Step-by-step explanation:

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