Answer:
(i) 7 one is equivalent is equivalent to [tex]\frac{7}{100}[/tex] hundreds, (ii) 1400 tenths is equivalent to 14 tens.
Step-by-step explanation:
We proceed to find the equivalent number in rational form:
(i) 7 one is equivalent to how many hundreds? In this case, we know that 7 one is equivalent to [tex]x[/tex] hundreds. That is:
[tex]7\times 1 = x \times 100[/tex]
Then, we solve the expression for [tex]x[/tex]:
[tex]x = \frac{7\times 1}{100}[/tex]
[tex]x = \frac{7}{100}[/tex]
7 one is equivalent is equivalent to [tex]\frac{7}{100}[/tex] hundreds.
(ii) 1400 tenths is equivalent to how many tens? In this case, 1400 tenths is equivalent to [tex]x[/tex] tens. That is:
[tex]1400\times \frac{1}{10} = x\times 10[/tex]
Then, we solve for [tex]x[/tex]:
[tex]x = \frac{1400}{10\times 10}[/tex]
[tex]x = \frac{1400}{100}[/tex]
[tex]x = 14[/tex]
1400 tenths is equivalent to 14 tens.
A bacteria culture grows with constant relative growth rate. The bacteria count was 1296 after 2 hours and 531441 after 6 hours. Answer the following questions. 1. What is the relative growth rate
Answer:
1)k=1.50408
2)=64
3)P(t)=64e^(1.50408t)
4)=118098
5)t=6.42 hrs
Step-by-step explanation:
CHECK THE COMPLETE QUESTION BELOW
A bacteria culture grows with constant relative growth rate. The bacteria count was 1296 after 2 hours and 531441 after 6 hours. Answer the following questions.
1. What is the relative growth rate?
2. What was the initial size of the culture?
3. Find an expression for the number of bacteria after t hours.
4. Find the number of cells after 5 hours.
5. When will the population reach 1000000?
To find relative growth rate, expression below can be used
P(t)= Po*e^(kt)
Where k= growth rate
Po= initial amount
t= time in hours
We were given The bacteria count as 1296 after 2 hours and 531441 after 6 hours. This can be expressed below as
P(2)= P(o)e^(2k)= 1296.........eqn(1)
P(6)= P(o)e^(6k)= 531441........eqn(2)
If we find the ratio of the two eqn we have
531441/1296 =[P(o)e^(6k)]/[P(o)e^(2k)]
410.0625= e^(4k)
If we take Ln of both side
ln 410.0625=ln(e^4k)
k=1.50408
1)= k=1.50408
2)
From P(2)= Po*e^(2k)= 1296
1296=Po × e^(2×1.50408)
1296= Po × e^(3.00816)
Po=1296/e^(3.00816)
=64
3) the expression is P(t)=64e^(1.50408t)
4). P(5)=64e^(1.50408×5)
=118098
5) P(t)= 1,000,000
1000000=64e^(1.50408t)
1000000/64 = 64e^(1.50408t)
Ln(15625)=ln[e^(1.50408t)]
9.657=e^(1.50408t)
t=6.42 hrs
When Ms. Wilson calls to place her order, the store informs her that the delivery fee has increased by $4, but the price of the topsoil remains the same. Write an equation to represent the new situation. Explain
Answer:
28$ + 4$
Step-by-step explanation: the chart at one yard of top soil was 28$
Let f(x)=−42x+3. Evaluate f(−1)
Step-by-step explanation:
f(-1)=-42(-1)+3....placing -1 in x
f(-1)=42+3
f(-1)=45
how do you find adjacent angles
Answer: Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.
Step-by-step explanation: Here is an example image.
I need help plzzzzzzzz
Answer:
B and 7
Step-by-step explanation:
because 9 minus 2 is 7
Which equation shows the zero property of multiplication
A. 4×0=0
B. 9+9+9=3×9
C. 3×6=6×3
D. 5×1=1
Answer:
A. 4×0= 0
Step-by-step explanation:
since it shows that any number you multiply by 0 still gives you 0
Pls help I need a good grade
Answer:
y=4/7x
Step-by-step explanation:
Graph the point (4,7) and (0,0) because x is pint and y is servings
The equation is y=4/7 x because the slope is 4/7 and it starts at the origin.
stephanie invests $3,991 in a retirement account with a fixed annual interest rate of 6% compound continuously. What will the account balance be after 13 years?
Answer:
7103.98
Step-by-step explanation:
1) 3991 × 6% = 239.46 intrest rate of a year
2) 239.46 × 13 = 3112.98 intrest rate of 6% for 13yrs
3) 3991 + 3112.98 = 7103.98 Stephanie account balance after 13 yrs
Compounding - Solve for Time
Jan 21, 2:12:46 PM
Joseph invested $89,000 in an account paying an interest rate of 6.6% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest tenth of a year, for the value of the account to reach $237,600?
Answer:
t=15
Step-by-step explanation:
An electrician charges y amount to work x hours on a job. The electrician charges a $50 service fee and $30 per hour. His income per job can be modeled using a linear function. The electrician works maximum of 20 hours on any job. What is the range of values for one job?
Answer:
The range of values from one job is between $50 and $650.
Step-by-step explanation:
An electrician charges y amount to work x hours on a job. The electrician charges a $50 service fee and $30 per hour.
This means that his earnings in a job can be modeled by the following function:
[tex]y = 30x + 50[/tex]
The electrician works maximum of 20 hours on any job. What is the range of values for one job?
Minimum, he works 0 hours, and earns:
[tex]y(0) = 30(0) + 50 = 50[/tex]
Maximum, he works 20 hours, and earns:
[tex]y(20) = 30(20) + 50 = 650[/tex]
The range of values from one job is between $50 and $650.
A 5k marathon is equivalent to how many miles.? (Conversion factor: 1 mile = 1.6 km)
Answer:
3.10686
Step-by-step explanation:
Divide the kilometer by 1.609
9514 1404 393
Answer:
3 1/8 miles
Step-by-step explanation:
Using your conversion factor ...
(5 km) × (1 mi)/(1.6 km) = (5/1.6) mi = 25/8 mi = 3 1/8 mi
A 5k race is about 3 1/8 miles.
_____
Additional comment
That estimate that is high by 0.584%, or 29.2 meters.
• 6 mystery books
5 science books
• 4 history books
3 adventure books
.
Robero will randomly choose 1 book to read. What is the probability that he will
choose an adventure book?
Answer:
Step-by-step explanation:
How many books are there?
6+5+4+3 = 18 books total
How many are adventure books?
3
3 out of 18 books are adventure books
Robero has a 3/18 probability of choosing an adventure book.
Your teacher might want that probability in the lowest possible form. That is because it is the easiest to use and to understand.
You can do this by dividing both numbers by the "numerator" which is the first number in the fraction, (the adventure book count).
3/3 = 1
18/3 = 6
So the fraction can be reduced to 1/6.
Robero has a 1/6 chance of choosing an adventure book.
Order the following from LEAST to GREATEST 21% , 3/20 , 25.6% , 2.24 , 0.24
Answer:
Step-by-step explanation:
3/20 21% 0.24 25.6% 2.24
the table shows the results when the polynomial p(x) is evaluated at x=a for different values of a.
Which mist be a factor of p(x)
x - 4
x + 7
x - 10
x + 12
Answer:
The answer is x-10
Step-by-step explanation:
Just did it
A DVD player is regularly priced at 79.95 and is on sale for 30% off. What is the discount?
Answer:
$2.40 or $77.55
Step-by-step explanation:
I don't know if you are asking for how much off or what, so I'm doing both
First, we have to find how much we have to take off or what is 30% of 79.95 so our equation is:
79.95 x 0.03 = 2.40
So 30% of 79.95 is $2.40
To find how much our new price sale is, we have to take that $2.40 off so our equation is:
79.95 - 2.4 = 77.55
So our discount price is $77.55
hope this helps:)
What is the equation
What do x=
Answer:
Step-by-step explanation:
9x=16
x = 16/9
Evaluate the expression.
Answer: 13
Step-by-step explanation:
I need help! I have an idea of which pick.
Answer: ok so I am bad at this but i would pick.....the top one
Step-by-step explanation:
what equation does the graph below represent
answer choices:
y =2x
y=1/2x
y=1/2
y=2+x
Answer:
y=2x
Step-by-step explanation:
9x81 simplfy in distributive proper
Answer:
the answer is 729.........
I need urgent help anyone?
Answer:
6.6 repeating = 6.7
46/7 = 6.7
6.8 = 6.8
47(root) = 6.9
Some of these answers have repeating numbers so I just rounded em.
Hope this helps :D
QUESTION 7
Solve for x.
(3x + 32)
(5x-8)
O a. 3
b. 12
O c. 20
O d. 19.5
Answer:
The answer is x = 20
Step-by-step explanation:
If you set both equations equal to each other and solve for x, you will get 20.
3x+32 = 5x-8 add 8 to both sides
3x+40 = 5x subtract 3x from both sides
40 = 2x divide by 2 on both sides
20 = x
Becca has 115 students. Susana has 8 fewer students than Becca. Erika has 25 more students than Susana. How many students does Susana have? *
Answer:
Susana will have 107 students.
Step-by-step explanation:
Becca have students = 115
Susana has 8 fewer students than Becca.We can write its as:
Becca has 115 students, so Susana will have 115-8 = 107 students
Because fewer means less than so, 8 less than 115 is 115-8
Erika has 25 more students than Susana.We can write it as:
Susana has 107 students, so Erika will have: 107+25 = 132 students.
because more means we need to add 25 students with number of students in Susana class.
So, Susana will have 107 students.
1. Evaluate when y=3. 3y + 2 (2y+6)
33
27
3y+12
Answer:
33
Step-by-step explanation:
3(3) + 2 (2(3)+6)
=9 + 2 (12)
=9 + 24
=33
If a certain number of Grade IV students share 28 or 39 skill books in Mathematics,there are remainders of 4 and 3 books. What is the largest possible number of students?
Answer:
12 studentsStep-by-step explanation:
Below numbers are divisible by the number of students:
28 - 4 = 2439 - 3 = 36Lets find GCF of 24 and 36:
24 = 2*2*2*336 = 2*2*3*3GCF(24,36) = 2*2*3 = 12The largest possible number of students is 12
....................
Answer:
.........................
Step-by-step explanation:
Write the equation of the line graphed below.
Answer:
a
Step-by-step explanation:
Helppppppppp plzzzzz
Answer:
1) 25, 2) 6
Step-by-step explanation:
Martha goes to the grocery store to buy oranges . Oranges are on sale for $1.25 per pound . How much would 5 pound of oranges cost
Answer:6.25
Step-by-step explanation:1.25x5=6.25
Answer:
$6.25
Step-by-step explanation:
1.25 × 5 = 6.25
hope this helps...
7. A bag of M&Ms dumped on the table and you court 91 blue pieces Approximately how many
M&ms do you expect to be in the entire bag based on the proportions of the entire class?
Answer:
i would think that there would be at least 100 m&m in the bag
Step-by-step explanation:
i might be wrong a hven't had m&m in about 10 years