Answer: 58.5 mg
Step-by-step explanation:
Given: Recommended daily allowance(RDA) for a certain vitamin = 45 mg
To find : Quantity of this vitamin in drink
Amount of vitamin new drink has = 130% of (RDA)
= (130% of 45) mg
= (1.3 x 45 mg [ To convert percentage to decimal , we divide a number by 100]
= 58.5 mg
Therefore, Quantity of vitamin in drink = 58.5 mg
Decomposers _______
O add nutrients to the soil
O feed on dead animals
o include bacteria
all of the above
Answer:
All the above
Step-by-step explanation:
all of the following are true
What is the largest possible integral value in the domain of the real-valued function
f(x)=[tex]\frac{1}{\sqrt{800-2x} }[/tex]
Answer:
Max Value: x = 400
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Calculus
AntiderivativesIntegral Property: [tex]\int {cf(x)} \, dx = c\int {f(x)} \, dx[/tex]Integration Method: U-Substitution[Integration] Reverse Power Rule: [tex]\int {x^n} \, dx = \frac{x^{n+1}}{n+1} + C[/tex]Step-by-step explanation:
Step 1: Define
[tex]f(x) = \frac{1}{\sqrt{800-2x} }[/tex]
Step 2: Identify Variables
Using U-Substitution, we set variables in order to integrate.
[tex]u = 800-2x\\du = -2dx[/tex]
Step 3: Integrate
Define: [tex]\int {f(x)} \, dx[/tex]Substitute: [tex]\int {\frac{1}{\sqrt{800-2x} } } \, dx[/tex][Integral] Int Property: [tex]-\frac{1}{2} \int {\frac{-2}{\sqrt{800-2x} } } \, dx[/tex][Integral] U-Sub: [tex]-\frac{1}{2} \int {\frac{1}{\sqrt{u} } } \, du[/tex][Integral] Rewrite: [tex]-\frac{1}{2} \int {u^{-\frac{1}{2} }} \, du[/tex][Integral - Evaluate] Reverse Power Rule: [tex]-\frac{1}{2}(2\sqrt{u}) + C[/tex]Simplify: [tex]-\sqrt{u} + C[/tex]Back-Substitute: [tex]-\sqrt{800-2x} + C[/tex]Factor: [tex]-\sqrt{-2(x - 400)} + C[/tex]Step 4: Identify Domain
We know from a real number line that we cannot have imaginary numbers. Therefore, we cannot have any negatives under the square root.
Our domain for our integrated function would then have to be (-∞, 400]. Anything past 400 would give us an imaginary number.
Which of the following amounts is greater than 6 feet? Select all that apply. A) 2 yards, 3 inches B) 5 feet, 8 inches C) 96 inches D) 3 yards, 2 feet E) 1 yard, 2 feet
Answer:
A, C, D
Step-by-step explanation:
2) How old am I if 300 reduced by 4 times my age is 44?
Answer:
64
Step-by-step explanation:
300 -4x = 44
(300 - 44)/4= 64
check
64 x 4 =256
300 - 256 = 44
The length of a rectangle is twice its width, while the
perimeter of the rectangle is 36 units. . Which system of
equations can be used to find the length ( and the width w
of the rectangle?
Answer: Length = 12 units
Width = 6 units
Step-by-step explanation:
Let the width of the rectangle be represented by x.
Since the length of a rectangle is twice its width, thus means that the length will be: = 2x
Perimeter of a rectangle = 2(l + w)
where,
L = length
W = width
Therefore,
Perimeter = 2(l + b)
36 = 2(2x + x)
36 = 2(3x)
36 = 6x
x = 36/6
x = 6
Width = 6 units
Length = 2 × Width = 2 × 6 = 12 units
One number is 8 more than another, and their sum is 80. What is the smaller number?
34
36
38
40
Answer:one number is eight more than twice another and their sum is 20. what are their number? one number = x = 2y+8 another number = y so, (2y+8)+ y=20 simplify 3y+8=20 3y=20-8 3y=12 y=4, checking the answer gives x=2(4)+8=16 so, y = 4 and x = 16 4+16=20
Step-by-step explanation: hi stay safe stay home only this year ok
16^2+8^2=
Show what you did
Answer:
Step-by-step explanation:
(16*16)+(8*8)
16. 8
16. 8
—————-
96. 64
160
—————-
256+64=320
Answer:
320
Step-by-step explanation:
16^2 + 8^2 = 16 * 16 + 8 * 8 = 256 + 64 = 320
solve for answer z/7+19>3.5
Answer:
z > -108.5
Step-by-step explanation:
1. z/7+19>3.5
Subtract 19 from both sides
2. Z/7 > -15.5
Multiply both sides by 7
3. Z > -108.5
LLEASE HLEP HELP PLEASE HELP
Answer:
V= 301.44
Step-by-step explanation:
the formula for a cone is 1/3 Bxh
B= area of base
h= height
find the vertex of the following quadratic function
f (x) = -3x² + 7x + 11
a. (0.857 , 4.384)
b. (1.166 , 15.083)
c. (-2.45 , 3.18)
d. (1 , 12)
Answer:
B because it's a fraction I just divided them and got b
35
How do you write as a percentage?
50
Answer:
0.7 is a decimal and 70/100 or 70% is the percentage for 35/50.
Step-by-step explanation:
Hope this helps!
Explain how the steps in how to solve the equation in the picture. 13=7+p (3 sentences or more.)
Answer:
Integers
Multiplying & Dividing
RULE EXAMPLES
1. Multiply or divide.
2. The answer is positive if
the signs are the same
(both positive or both negative);
negative if the signs are different
(one positive and one negative).
–5 x ( –8) = 40
40 4 = 10
16 x ( –3) = –48
–20 10 = –2
Find each product or quotient.
1. –3 x (–8) 2. –5 x (–5) 3. –15 x 3
24 25 –45
Step-by-step explanation:
Is the relation a function? If it is a function, state the domain and range. If not, circle or
highlight the part that causes it to not be a function.
Answer:
Please check the explanation.
Step-by-step explanation:
Writing this relation in set notation using curly braces:
{(1, 3), (2, 5), (3, -1), (4, 0), (5, 6)}
The relation clearly indicates that each input is related to exactly one output. In other words, there is no repetition of 'x' values.
Hence, this relation is a function.
We know that the domain is the set of all x values.
Thus, the domain is: {1, 2, 3, 4, 5}
We know that the domain is the set of all y values.
Thus, the range is: {-1, 0, 3, 5, 6}
A bag contains five ping-pong balls numbered 1 to 5. Two balls are removed to form a two digit number. The smallest possible number is 12 and the largest is 54. What is the probability that the number formed is prime? (hint: Write out the entire sample space)
Answer:
[tex]\frac{11}{42}[/tex] or 26.19%
Step-by-step explanation:
If the range of possible numbers is between 12 and 54 then that means that there are 42 (54 - 12) possible numbers that can be made. In this range, there are 11 prime numbers which are the following...
13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53
Therefore, the probability that the number formed is a prime would be [tex]\frac{11}{42}[/tex] which if we divide and multiply the decimal by 100 we get the probability in percentage form.
[tex]\frac{11}{42}[/tex] = 0.2619
0.2619 * 100 = 26.19%
Finally, we can see that the probability of this happening is 26.19%
There are 14 green crayons and 28 red crayons in a bin. What is the ratio of green crayons to red crayons in simplest form?
Answer:
Green crayons are 1/3 of all the crayons and the red crayons are 2/3 of the crayons. So 1/3rd to 2/3rds
Step-by-step explanation:
14+28=42
14/42=1/3
28/42=2/3
m/4-1/2=m/6+5
Please help
Answer:
3m/12-6/12=2m/12+60/123m-2m/12=60-6/12m/12=54/12m=54/12×12m=54
is the correct answer is the 54
What is the value of q?
S
415
2/14
S
2015
ין
R
4
64,5
T
10
Answer:
[tex]2 \sqrt{14} [/tex]
Owen loves reading and started counting the total number of books reads this year. He adds up the total at the end of each month and his list as follows: {4, 7, 10, 13) Which equation represents the number of books he is reading?
Select one:
1) y = x+ 3
2) y = 3x +1
3) y = 4x
4) y = 3x
Answer: its answer 3, most likely
Step-by-step explanation: i remember this question
what numbers must be added to complete the perfect square?
Answer:
256
Step-by-step explanation:
Let the number be k
Thus, the equation can be written as:
x² – 32x + k
From the above,
a = 1
b = –32
c = k
The value of k can be obtained as follow:
b² = 4ac
(–32)² = 4 × 1 × k
1024 = 4k
Divide both side by 4
k = 1024 / 4
k = 256
Thus, 256 should be added to x² – 32x to make it a perfect square i.e
x² – 32x + 256
****Check****
x² – 32x + k
k = 256
x² – 32x + 256
x² – 16x – 16x + 256
x(x – 16) – 16(x – 16)
(x – 16)(x – 16)
(x – 16)² QED
please help me. i’ve posted this question 4 times in an hour with no response. i needed it 20 mins ago.
Answer:
answer is b
Step-by-step explanation:
Write in standard form the equation y - 9 = 1/3(x - 6).
how do you find the y-intercept?
Answer:
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
so to find that you can use y=mx+b, or you can use point slope form and that would be y-y1+m(x-x1)
remember m= slope b= y- intercept
You make a salary of &75,000 per year,
Answer:
oohhhh cool
Step-by-step explanation:
I didn't know I had so much money
NEED HELP MARKING PEOPLE AS BRAINLIST ANDWER IF YOU KNOW
Answer:
it will be C) SAS(side angle side)
A robot can complete 3 tasks in hour. Each task takes the same amount of time. 10 a. How long does it take the robot to complete one task? b. How many tasks can the robot complete in one hour?
Answer:
a.20 minutes
b.3 tasks
Step-by-step explanation:
60 divided by 3 = 20
Starting at (0,0) if you were to go up 7 units and left 4 what coordinates would you end up at? What quadrant would you be in
Answer:
(-4,7) and the 2nd quadrant
Step-by-step explanation:
hope this helped
Answer:
Quadrant 2.
Step-by-step explanation:
The quadrants on a graph count counterclockwise.
Using mixed numbers, write a problem in which an estimate is enough to solve the problem.
explain:
Estimating Differences of Fractions and Mixed Numbers
Estimating Differences of Fractions and Mixed NumbersRecall that estimation is a method for finding an approximate solution to a problem. Even when you are asked to find an exact ko, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.
, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0,
, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0, 12
, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0, 12, and 1 to help you to estimate differences.
, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0, 12, and 1 to help you to estimate differences.Here are the steps for estimating the differences of fractions and mixed numbers using benchmarks.
PLZZZZZ ANSWER ASAPPPPP 1. Calculate the unit rate: 324.8 meters in 28 seconds
Compounds A and B are used in an experiment.
The equation A=30,000(1/2)^t represents the remaining amount of compound A, in milligrams, after t seconds. The table shows the remaining amount of compound B.
What is the positive difference in the initial amount of each compound?
Enter your answer in the box.
[50 PTS]
Answer:
The difference is 6,000
Step-by-step explanation:
Answer:
6,000
Step-by-step explanation:
If you are from k12 this is correct
Brian makes 9 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.
Answer:
9h
Step-by-step explanation:
9 = $/hour
h = hours
Then you would multiply 9 by the number of hours worker, or h.