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
vfiekz [6]
3 years ago
11

Lucy makes four pots with cups of macaroni in each pot. If of a cup of macaroni is needed for one serving, what is the most numb

er of servings that she can serve? A. 32 servings B. 26 servings C. 23 servings D. 37 servings
Mathematics
1 answer:
padilas [110]3 years ago
8 0
The answer is A, 32 servings. 
You might be interested in
Simply the expression.
irina1246 [14]
The answer is ctually 44 
68-2 (3x1)4
68-2x3x4
68-24
44
4 0
3 years ago
If the 10th of the 10 consecutive numbers is 10, what is their sum?
liq [111]
Represent these consecutive numbers (assuming that they are all integers):

x
x+1
x+2
x+3
x+4
x+5
and so on
x+8
x+9 is the tenth number.  x+9 = 10, so x = 9.

Think of it this way:  there are 10 consecutive numbers, and the last one is 10.

Working backwards, we get the sequence 10, 9, ... 3, 2, 1.

The sum of such an arith sequence is equal to the count of the numbers times the average of the first and last terms:

sum here = 10(1+10)/2 = 5(11) = 55          (answer)
7 0
3 years ago
Carry out three steps of the Bisection Method for f(x)=3x−x4 as follows: (a) Show that f(x) has a zero in [1,2]. (b) Determine w
ELEN [110]

Answer:

a) There's a zero between [1,2]

b) There's a zero between [1.5,2]

c) There's a zero between  [1.5,1.75].

Step-by-step explanation:

We have f(x)=3^x-x^4

A)We need to show that f(x) has a zero in the interval [1, 2]. We have to see if the function f is continuous with f(1) and f(2).

f(x)=3^x-x^4\\\\f(1)=3^1-(1)^4=3-1=2\\\\f(2)=3^2-(2)^4=9-16=(-7)

We can see that f(1) and f(2) have opposite signs. And f(1)>f(2) and the function is continuous, this means that exists a real number c between the interval [1,2] where f(c)=0.

B)We have to repeat the same steps of A)

For the subinterval [1,1.5]:

f(x)=3^x-x^4\\\\f(1)=3^1-(1)^4=3-1=2\\\\f(1.5)=3^1^.^5-(1.5)^4=5.19-5.06=0.13

f(1) and f(1.5) have the same signs, this means there's no zero in the subinterval [1,1.5].

For the subinterval [1.5,2]:

f(x)=3^x-x^4\\\\f(1.5)=3^1^.^5-(1.5)^4=5.19-5.06=0.13\\\\f(2)=3^2-(2)^4=9-16=(-7)

f(1.5) and f(2) have opposite signs, this means there's a zero between the subinterval [1.5,2].

C)We have to repeat the same steps of A)

For the subinterval [1,1.25]:

f(x)=3^x-x^4\\\\f(1)=3^1-(1)^4=3-1=2\\\\f(1.25)=3^1^.^2^5-(1.25)^4=3.94-2.44=1.5

f(1) and f(1.25) have the same signs, this means there's no zero in the subinterval [1,1.25].

For the subinterval [1.25,1.5]:

f(x)=3^x-x^4\\\\f(1.25)=3^1^.^2^5-(1.25)^4=3.94-2.44=1.5\\\\f(1.5)=3^1^.^5-(1.5)^4=5.19-5.06=0.13

f(1.25) and f(1.5) have the same signs, this means there's no zero in the subinterval [1.25,1.5].

For the subinterval [1.5,1.75]:

f(x)=3^x-x^4\\\\f(1.5)=3^1^.^5-(1.5)^4=5.19-5.06=0.13\\\\f(1.75)=3^1^.^7^5-(1.75)^4=6.83-9.37=(-2.54)

f(1.5) and f(1.75) have opposite signs, this means there's a zero between the subinterval [1.5,1.75].

For the subinterval [1.75,2]:

f(x)=3^x-x^4\\\\f(1.75)=3^1^.^7^5-(1.75)^4=6.83-9.37=(-2.54)\\\\f(2)=3^2-(2)^4=9-16=(-7)

f(1.75) and f(2) have the same signs, this means there isn't a zero between the subinterval [1.75,2].

The graph of the function shows that the answers are correct.

6 0
2 years ago
How many minutes equal 4.8 days? Enter your answer in the box.
vitfil [10]
1hour=60min
24hour=?
24hour=1440 min

1d=1440 min
4.8d=?
4.8 days =6956      hope you like my explanation 





6 0
3 years ago
what is the measure in radians for the center angle of a circle who's radius r = 4 cm and intercepted arc length s = 1.2 ​
Leto [7]

Answer:

Step-by-step explanation:

IF s = 1.2 is in cm,

THEN

θ = 1.2/4 = 0.3 radians

4 0
2 years ago
Other questions:
  • What is 7/8 times 3/4
    9·2 answers
  • 3/8 student’s in a class of 48 students have a cat at home how many students have a cat at home and how many students do not hav
    7·1 answer
  • Can you answer these please! I really need help! And I'm so not even joking only 16 17 18 and 19
    12·1 answer
  • What is the length of the equilateral triangle below
    7·1 answer
  • What is negative 3/4 minus 1/8
    15·1 answer
  • If a vertical angle has 74 degree and also opposite angle is 2x degree ,what is value of x?​
    6·1 answer
  • Help me with math ASAP please!!!
    6·1 answer
  • Hmmmmmmmmm. Let's see....
    6·2 answers
  • Which answer do I pick .
    5·1 answer
  • Help me plzzz help me​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!