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Romashka [77]
3 years ago
10

Tess has 42 words of an essay typed and is typing about 1.3 words per second. Margo 122 words of an essay typed and is erasing a

bout 1.2 words per second. In how many seconds will the number of words in Tess’s essay exceed the number of words in Margos essay?
Mathematics
1 answer:
scoray [572]3 years ago
6 0

Answer:

  32 seconds

Step-by-step explanation:

For some number of seconds (s), Tess's essay length (t) will be ...

  t = 42 +1.3s

and Margo's essay length (m) will be ...

  m = 122 -1.2s

We will have t > m when ...

  t > m

  42 +1.3s > 122 -1.2s

  2.5s > 80 . . . . . . . . add 1.2s-42

  s > 32 . . . . . . . . . . . divide by 2.5

After 32 seconds, Tess's essay will exceed Margo's in length.

 

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Please help me answer question B!
skelet666 [1.2K]

Answer:

  • The program counter holds the memory address of the next instruction to be fetched from memory
  • The memory address register holds the address of memory from which data or instructions are to be fetched
  • The memory data register holds a copy of the memory contents transferred to or from the memory at the address in the memory address register
  • The accumulator holds the result of any logic or arithmetic operation

Step-by-step explanation:

The specific contents of any of these registers at any point in time <em>depends on the architecture of the computer</em>. If we make the assumption that the only interface registers connected to memory are the memory address register (MAR) and the memory data register (MDR), then <em>all memory transfers of any kind</em> will use both of these registers.

For execution of the instructions at addresses 01 through 03, the sequence of operations may go like this.

1. (Somehow) The program counter (PC) is set to 01.

2. The contents of the PC are copied to the MAR.

3. A Memory Read operation is performed, and the contents of memory at address 01 are copied to the MDR. (Contents are the LDA #11 instruction.)

4. The MDR contents are decoded (possibly after being transferred to an instruction register), and the value 11 is placed in the Accumulator.

5. The PC is incremented to 02.

6. The contents of the PC are copied to the MAR.

7. A Memory Read operation is performed, and the contents of memory at address 02 are copied to the MDR. (Contents are the SUB 05 instruction.)

8. The MDR contents are decoded and the value 05 is placed in the MAR.

9. A Memory Read operation is performed and the contents of memory at address 05 are copied to the MDR. (Contents are the value 3.)

10. The Accumulator contents are replaced by the difference of the previous contents (11) and the value in the MDR (3). The accumulator now holds the value 11 -3 = 8.

11. The PC is incremented to 03.

12. The contents of the PC are copied to the MAR.

13. A Memory Read operation is performed, and the contents of memory at address 03 are copied to the MDR. (Contents are the STO 06 instruction.)

14. The MDR contents are decoded and the value 06 is placed in the MAR.

15. The Accumulator value is placed in the MDR, and a Memory Write operation is performed. Memory address 06 now holds the value 8.

16. The PC is incremented to 04.

17. Instruction fetch and decoding continues. This program will go "off into the weeds", since there is no Halt instruction. Results are unpredictable.

_____

Note that decoding an instruction may result in several different data transfers and/or memory and/or arithmetic operations. All of this is usually completed before the next instruction is fetched.

In modern computers, memory contents may be fetched on the speculation that they will be used. Adjustments need to be made if the program makes a jump or if executing an instruction alters the data that was prefetched.

4 0
3 years ago
The population of fish in a lake grew exponentially. In 2000, a researched estimated
cupoosta [38]

Answer:

a) P(t) = P₀ e⁰•⁰⁵⁴ᵗ

b) 2786 fishes

c) The estimated population will be 24000 in the year 2030.

Step-by-step explanation:

The function representing the population of fish in a lake as it grows exponentially

P(t) = P₀eᵏᵗ

If the base year is taken to be 2000

P₀ = 4780 fishes

k = constant

In 2010, P(t=10) = 8200 fishes, we can now solve for the constant

kt = k × 10 = 10k

8200 = 4780 e¹⁰ᵏ

e¹⁰ᵏ = (8200/4780) = 1.7155

In e¹⁰ᵏ = In 1.7155 = 0.5397

10k = 0.5397

k = 0.054 to 3 d.p

P(t) = P₀ e⁰•⁰⁵⁴ᵗ

b) What was the estimated population in 1990?

1990 is 10 years before 2000, hence, t = -10

P(t) = P₀ e⁰•⁰⁵⁴ᵗ

0.054t = 0.054 × -10 = -0.54

P₀ = 4780

P(t) = 4780 e⁻⁰•⁵⁴ = 4780 × 0.5829 = 2,786.4 = 2786 fishes to the nearest thousand

c) When will the population 24,000?

P(t) = 24000

P₀ = 4780

t = ?

24000 = 4780 e⁰•⁰⁵⁴ᵗ

e⁰•⁰⁵⁴ᵗ = (24000/4780) = 5.021

In e⁰•⁰⁵⁴ᵗ = In 5.021 = 1.6136

0.054t = 1.6136

t = (1.6136/0.054) = 29.88 years = 30 years to the nearest whole number.

Since the base year is 2000, 30 years after that is 2000 + 30 = 2030.

Hope this Helps!!!

8 0
3 years ago
During a certain day, a worker made 81 parts. He usually does 45 parts per day. What was the percent by which he increased the n
Lana71 [14]

Answer:

The answer is 80%.

Step-by-step explanation:

During a certain day, a worker made 81 parts.

He usually does 45 parts per day.

Number of extra parts made = 81-45=36

The percent by which he increased the number of parts he usually makes can be given as = \frac{36}{45}\times100 = 80%

Therefore, on that day, the percent increased by 80%.

6 0
3 years ago
Please help! This is a similar shape question
kondor19780726 [428]

Answer:

5760 grams

Step-by-step explanation:

Find the scale factor that A has been multiplied by to get B:

40.32/28 = 1.44

square root 1.44 to get the real sf:

√1.44 = 1.2

then divide 6912 by 1.2 to get the mass of A:

6912/1.2 = 5760 grams

hope this helps!

7 0
3 years ago
Read 2 more answers
a cylindrical salt shaker has a radius of 2 cm and a height of 7 cm. It comes in a box that is 8 cm tall and has a square base w
inysia [295]
We know that

[volume of a cylindrical salt shaker]=pi*r²*h
r=2 cm
h=7 cm
[volume of a cylindrical salt shaker]=pi*2²*7---> 87.92 cm³

[volume of the box]=b²*h
b=4 cm
h=8 cm

[volume of the box]=4²*8---> 128 cm³

[the volume of air in the box outside the salt shaker]=128-87.92--> 40.08 cm³

the answer is
the <span>volume of air in the box outside the salt shaker is 40.08 cm</span>³
3 0
3 years ago
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