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
ser-zykov [4K]
3 years ago
15

Muke is sick with the flu but he still cors to school on monday. He areives at 8am and by 9am (hour 1) muke has already infected

two of his friends
Mathematics
1 answer:
Volgvan3 years ago
6 0

Answer:

\begin{array}{ccccccccc}{Hours} & {0} & {1} & {2} & {3} & {4}& {5} & {6} & {7} \ \\ {Persons} & {1} & {2} & {4} & {8} & {16}& {32} & {64} & {128} \ \end{array}

Step-by-step explanation:

Given

See attachment for complete question

Solving (a): Complete the table

Let

x = hours

y = persons

From the table question, we have:

(x_1,y_1) = (0,1)

(x_2,y_2) = (1,2)

(x_3,y_3) = (2,4)

The pattern follows that, an increment in x by doubles the value of 1.

So, the other values are:

(x_4,y_4) = (3,8)

(x_5,y_5) = (4,16)

(x_6,y_6) = (5,32)

(x_7,y_7) = (6,64)

(x_8,y_8) = (7,128)

So, the complete table is:

\begin{array}{ccccccccc}{Hours} & {0} & {1} & {2} & {3} & {4}& {5} & {6} & {7} \ \\ {Persons} & {1} & {2} & {4} & {8} & {16}& {32} & {64} & {128} \ \end{array}

Solving (b): The graph

The table follows an exponential function:

y = ab^x

We have: (x_1,y_1) = (0,1)

This gives:

y = ab^x

1 = ab^0

b^0 \to 1

So:

1 = a*1

1 = a

a =1

Also: (x_5,y_5) = (4,16)

This gives:

y = ab^x

16 = 1 * b^4

16 = b^4

16 \to 2^4

So:

2^4 = b^4

Cancel the exponents (4)

2 =b

b = 2

So, the function y = ab^x is:

y = 2^x

<em>See attachment 2 for graph</em>

You might be interested in
please help as soon as possible-Solve the right triangle shown in the figure. WIll mark brainliest to first correct answer
Dennis_Churaev [7]

Answer:

option a is the correct answer; ∠A = 68°, ∠B = 22°, AB = 2.9 cm

Step-by-step explanation:

From my understanding, we have to find angle A, angle B and side AB.

<u>Step 1: Find side AB</u>

<em>AB can be solved through the Pythagoras theorem.</em>

<em>c² = a² + b²</em>

<em>c² = 2.7² + 1.1²</em>

<em>c² = 8.5</em>

<em>c = √8.5</em>

c = 2.9 cm

<u>Step 2: Find angle A</u>

<em>Angle A can be found through tan formula</em>

<em>tan (angle) = opposite/adjacent</em>

<em>tan (angle A) = BC/AC</em>

<em>tan (angle A) = 2.7/1.1</em>

<em>Angle A = tan inverse (2.7/1.1)</em>

Angle A = 68°

<u>Step 3: Find angle B</u>

<em>All 3 angles of a triangle are equal to 180°</em>

<em>Angle A + Angle B + Angle C = 180°</em>

<em>68 + B + 90 = 180°</em>

Angle B = 22°

option a is the correct answer; ∠A = 68°, ∠B = 22°, AB = 2.9 cm

!!

6 0
3 years ago
A chair’s regular price is $349. It is on clearance for 30% off, and a customer uses a
Hunter-Best [27]

Answer:

$207.66

Step-by-step explanation:

349x.7=244.3

244.3x.85=207.665

Rounded to the nearest 100th

207.66

7 0
3 years ago
Read 2 more answers
ANSWER 3-8 FOR BRAINLIESET ANSWER AND ALL POINTS!!!! ALL INCOMPLETE/WRONG ANSWERS WILL BE REPORTED URGENT HELP REQUIRED.
Verdich [7]
3. The correct answer is option A (10 in)

4. The correct answer is option C (5 in)

5. Cannot see this question.

6. The correct answer is option B (17.5 ft)

7. The correct answer is option A (5)

8. The correct answer is option A (3.375)

Hope this helped. Have a great day!
4 0
3 years ago
Three friends go bowling the cost per person per game is $ 5.30 the cost to rent shoes is $ 2.50 per person.Their total cost is
siniylev [52]
Find cost of shoes first (7.50)
subtract from the total value (55.20-7.50= 47.7)
then divide by 5.30 (47.7/ 5.3= 9)

4 0
3 years ago
HELP !!
VLD [36.1K]
Start at 4 on the y axis

move 2 units up and 3 units right
3 0
3 years ago
Other questions:
  • What is the multiple of 49 and 45
    5·2 answers
  • June made 18 liters of fruit lunch for a brirthday party.One third of the lunch was orange juice,4 liters of the lunch was pinea
    12·1 answer
  • C+d is the of c and d
    8·1 answer
  • 1.5x=3 whats the answer
    15·1 answer
  • A special type of password consists of 3 different letters of the alphabet, and the two different numbers, where each letter and
    8·2 answers
  • PLZ HELP ME LOL
    9·2 answers
  • Decimal and fraction form round it all the way
    15·2 answers
  • What would be the value of x please help
    7·1 answer
  • How many years will it take to earn $150 of interest on a $2000 investment at a 6% annual rate?
    12·1 answer
  • The tree in Miguel's backyard is 7.1 m high How high is it in centimeters? Be sure to include the correct unit in your answer.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!