1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Stella [2.4K]
1 year ago
8

Marika is training for a track race. She start sprinting by 100 yards. She gradually increases her distance, adding 4 yards a da

y for 21 days. the explicit formula that models this situation is an=100+(n-1)4. how far does seh sprint on day 21
Mathematics
1 answer:
Hunter-Best [27]1 year ago
8 0

Answer:

  180 yards

Step-by-step explanation:

The number of yards she sprints on day 21 can be found by evaluating the formula with n=21.

<h3>Solution</h3>

  a21 = 100 +(21 -1)4 = 100 +(20)(4) = 100 +80 . . . . . use 21 in place of n

  a21 = 180

Marika sprints 180 yards on day 21.

You might be interested in
Write the contrapositive of the conditional statement. Determine whether the contrapositive is true or false. If it is false, fi
scZoUnD [109]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
Please help this is the last problem on my homework and I don’t understand how to do it
malfutka [58]
When the lines are parallel and angles are given, and since a straight line is 180°, the 2 angles of the line intersecting the parallel lines have to add up to be 180. Therefore,
21. 31°
22. 96°
23. 149°
24. 84°
25. 53°
6 0
3 years ago
Read 2 more answers
At time t=0 hours, a tank contains 3000 litres of water. Water leaks from the tank. At the end of every hour there is x% less wa
Margaret [11]

Answer:

x = 2; K = 0.98

Step-by-step explanation:

At time, t = 0, Volume of Water = 3,000 litres

After t hours , the Volume of water in the tank = Vt

At the end of every hour there is a x% less water in the tank then at the start of the hour

After 1 hour, volume of water left Vt = V1

V1 = 3,000 - 3000 × (x/100)

V1 = 3,000 - 30x

After 2 hours, Volume of water left is V2

V2 = (3,000 - 30 x) - (3,000 - 30 x) × (x/100)

V2 = (3,000 - 30 x) - (3000x - 30x²)/100

V2 = {100(3000 - 30x) - x(3000 - 30x)} /100

V2 = {(3000 - 30x)(100 - x)}/100

Recall, V2 = 2881.2

Therefore

{(3000 - 30x)(100 - x)}/100 = 2881.2

(3000 - 30x)(100 - x) = 288120

300000 - 3000 x - 3000 x + 30 x² = 288120

30 x ² - 6000 x + 11880 = 0

Dividing both sides by 30

x² - 200 x + 396=0

Factorizing:

(x -198)(x-2) = 0

x = 198 or x = 2

Since the percentage by which the water reduces cannot be greater than 100, x = 2 is chosen.

Step 2: Solving for k

Given that Vt=KtV0

K = Vt/V0

At t = 1

V1 = 3000 - 30x

V1 = 3000 - 30 × 2

V1 = 3000 - 60

V1 = 2940

K = 2940/3000

K = 0.98

5 0
3 years ago
Which choices are equivalent to the exponential expression below? Check all that apply. (4/5)^3​
VladimirAG [237]

Answer:

A, C, D

Step-by-step explanation:

Remember: Exponents are simply repeated multiplication.

The exponent determines how many times to multiply the base number by itself.

(\frac{4}{5} )^3=\frac{4}{5} *\frac{4}{5} *\frac{4}{5} =\frac{64}{25}

Option 'A' and 'C' apply.

Option D applies because:

\frac{4^3}{5^3} =\frac{64}{125}

3 0
2 years ago
A side of the triangle below has been extended to form an exterior angle of 64°. Find the value of x.
horsena [70]

180- 64 =116

x°+18°+116°= 180°

x°+134°=180°

x°=180-134

x°=46°

8 0
2 years ago
Read 2 more answers
Other questions:
  • Factor by grouping: 12x^3-20x+3x-5
    12·2 answers
  • What is 85,90,75,85,95<br> Median:<br> Mean:<br> Mode:<br> Range:
    10·1 answer
  • Ben works in a sandwich shop. On average, he makes 3 sandwiches every 10 minutes. If Ben works 6 hours how many sandwiches will
    13·1 answer
  • Rajiv used 3/4 of a bag of sugar to make cookies. With the sugar he has leftover, he will make 3 cakes.
    8·1 answer
  • Suppose that y varies directly with x and y 12 when x--2. What is x when y -6?
    10·1 answer
  • Plz help me quick!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    10·1 answer
  • Evaluate f(3) divided by k(2) using functions f(x) = x^2 - 1 and k(x) = x + 1.
    13·1 answer
  • What is the y-intercept of the equation 3y + 2x =-21?
    14·2 answers
  • Simplify 3.8x + 11.5
    10·1 answer
  • A=1/2bh, solve for b
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!