Hence, a person on a 2000 calorie diet should eat more calories approximate ratio of 200-300 calories from vegetables and 900-1300 calories from carbohydrates.
What is the calories?A calorie is a measurement, just like a teaspoon or an inch. Calories are the amount of energy released when your body breaks down (digests and absorbs) food. The more calories a food has, the more energy it can provide to your body
How many calories take a person in vegetables and carbohydrates?The number of calories a person should consume from vegetables versus carbohydrates depends on various factors such as age, gender, activity level, body composition, and overall health status. However, in general, it is recommended that a person on a 2000 calorie diet should consume more calories from vegetables than from carbohydrates.
The United States Department of Agriculture (USDA) recommends that adults consume 2.5 to 3 cups of vegetables per day, depending on their age, gender, and level of physical activity. On a 2000 calorie diet, this would amount to approximately 200-300 calories from vegetables.
For carbohydrates, the recommended intake varies depending on the individual's energy needs, but it generally accounts for 45-65% of their total calorie intake. This equates to 900-1300 calories from carbohydrates on a 2000 calorie diet.
Therefore, a person on a 2000 calorie diet should eat more calories from vegetables than from carbohydrates, with an approximate ratio of 200-300 calories from vegetables and 900-1300 calories from carbohydrates.
Learn more about calories here:
https://brainly.com/question/22518262
#SPJ1
0.5x+2 is it a linear function? yes or no
pls help
Answer:
yes
Step-by-step explanation:
when graphed it is a non vertical line.
which property of exponents must you apply to the express p 1/2 to derive p as the result
The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.
The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.
For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.
Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
So we have derived p as the result using the Power of a Power Property.
In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.
For more such questions on square root
https://brainly.com/question/428672
#SPJ8
4/5 + 2/3 in simplest terms
Answer:
\(\frac{8}{15}\)
Step-by-step explanation:
1) use this rule: \(\frac{a}{b}\) × \(\frac{c}{d} =\frac{ac}{bd}\)
\(\frac{4*2}{5*3}\)
2) simplify 4 * 2 to 8
\(\frac{8}{5*3}\)
3) simplify 5 * 3 to 15
\(\frac{8}{15}\)
please help I will give BRANLIEEST and all my points
Answer:
Step-by-step explanation:
x= 66.5 :) hope this helps
Answer:
47 degrees
Step-by-step explanation:
x and 133 are a linear pair, meaning they form a straight line or a 180 degree angle. Therefore, \(x+ 133 = 180\). Subtract 133 from both sides to get\(x = 47\).
Correct me if I'm wrong!
Help&EXPLAIN
≈≈≈≈≈≈≈≈≈≈≈≈≈≈
Answer:
3.14(3) 2 this 2 is the power ( 3 to the power of 2)= 28.26
Step-by-step explanation:
Radius is half the diameter so 6÷2=3
3 is the radius so area will equal to 3.14 times 3 to the power of 2 I hope I helped
Graph the solution of the following inequality and answer the questions below
We have the next inequality
\(11x+9<-11y+9\)First we need to isolate the y
\(11y<-11x+9-9\)\(11y<-11x\)\(y<\frac{-11}{11}x\)\(y<-x\)The boundary line need to be dashed because the sign is less than
Two points of the boundary line can be calculated using the next equality y=-x
x=0
y=0
Point (0,0)
x=-5
y=5
Point (-5,5)
The area will be the area below the boundary line because we have a sign less than
On 1 April mazibane has R540, 00 in his credit card account. He buys a lounge suit for R8300, 00 on credit. There is no interest on the debit amount for the first month. Thereafter the interest is 16% per year calculated daily but compounded monthly. On 1 June Mazibane pays R5000 into the account.
How much must Mazibane pay into the account on 30 June to have no debt in the account
According to the information, we can infer that Mazibane must pay R3640 into the account on 30 June to have no debt.
How to calculate the amount Mazubane must pay on 30 June?To calculate the amount Mazibane must pay on 30 June to have no debt in the account, we need to consider the initial debt, the interest, and the previous payment.
Initial Debt:
On 1 April, Mazibane had a credit card debt of R8300.Interest Calculation:
The interest on the debt is 16% per year, calculated daily but compounded monthly. From 1 April to 1 June, a period of two months, there is no interest charged on the debt.Previous Payment:
On 1 June, Mazibane paid R5000 into the account.To determine the remaining debt on 1 June, we subtract the payment from the initial debt:
Remaining debt on 1 June = R8300 - R5000 = R3300.From 1 June to 30 June, a period of one month, interest is charged on the remaining debt.
To calculate the interest for one month, we use the formula:
Interest = Principal x (1 + (rate/100))^(time/12) - Principal,where the principal is the remaining debt, the rate is the monthly interest rate (16%/12), and the time is the number of months (1).
Interest for one month = R3300 x (1 + (16/100)/12)^(1/12) - R3300.To find the total debt on 30 June, we add the remaining debt on 1 June and the interest for one month:
Total debt on 30 June = R3300 + Interest for one month.To have no debt on 30 June, Mazibane must pay the total debt amount:
Mazibane must pay R3300 + Interest for one month on 30 June.Calculating the interest and summing up the values, we find that Mazibane must pay approximately R3640 into the account on 30 June to have no debt.
Learn more about debt in: https://brainly.com/question/31792485
#SPJ1
An engineer wants to test the complex and dangerous process of filling and emptying a tank of liquid hydrogen. The tank has a volume of 400 cm3. The tank can be filled 50 cm3 per hour faster than it can be emptied.
Part A. Write an expression for the number of hours it takes to fill this tank, in terms of r
Part B. Wrote an expression for the number of hours it takes to empty this tank, in terms of r:
Part C. Wrote an equation for the total time in hours it takes to fill and empty this tank in terms of r. Simplify.
Part D. Find the rate that would allow you to fill and empty the tank in 100 hours. Check for extraneous solutions, and show your work. Round to the nearest tenth.
Answer:
the answer is 45%.
Step-by-step explanation:
if you add 5% divided by 3 = 15%.
So if you add all of those plus the 30% you will be getting 45%.
calculate the area (ignore the scribble)
You draw one card from a 52-card deck. Then the card is replaced in the deck and the deck is shuffled, and you draw again. Find the probability of drawing a six the first time and a spade the second time
Answer:
1/4(1/4)=1/16, or 6.25% chance.
Step-by-step explanation:
There are 13 spades in a deck of 52 cards. This is a 13/52, or 1/4 chance of selecting one. As the cards are replaced we just multiply the probabilities of picking a spade.
I hope this helps!
a cable technician working fo the local cable company needs to lay down cable down through the neighborhood below. He is unsure how much cable cable he needs, though. Use the pythagorean theorem to help him find the length in feet of cable he needs to fufill his duty
Let f be a function defined on binary strings as follows: If u is a string such that u = abc where la| = |b| = |c| then f(u) = a. %3D For example, if u = 101101011, then f(u) = 101. Which of the following statements are true? a. The cardinality of the set {u | f(u) = u} is 1. b.f is a total function. c. If Jul = 24, then f(f(u) is not defined. d. F is an injection. e. The range of f is the set of all binary strings. f. fis onto the set of all binary strings.
f is onto the set of all binary strings:
This statement is false for the same reason as (e). The range of f is limited to a subset of all binary strings.
What is function?
In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.
a. The cardinality of the set {u | f(u) = u} is 1:
This statement is true because f(u) returns only the first third of the input string u. Therefore, if f(u) = u, then the second and third thirds of the string u must be empty, and hence u must consist entirely of the first third, which means there can be only one such string.
b. f is a total function:
This statement is false because not all binary strings can be decomposed into three parts with the described property. For instance, a binary string of length 5 cannot be decomposed in this way.
c. If |u| = 24, then f(f(u)) is not defined:
This statement is false. If |u| = 24, then u can be decomposed into three parts with 8 bits in each part. Therefore, f(u) will return the first 8 bits of u, which can be decomposed into three parts with 2, 3, and 3 bits, respectively. Therefore, f(f(u)) will return the first 2 bits of the first third of u, which is well-defined.
d. f is an injection:
This statement is false. Since f only returns the first third of its input, there can be multiple inputs that yield the same output.
e. The range of f is the set of all binary strings:
This statement is false. The range of f only consists of binary strings that are the first third of some input string that can be decomposed as described.
f. f is onto the set of all binary strings:
This statement is false for the same reason as (e). The range of f is limited to a subset of all binary strings.
To learn more about functions from the given link:
https://brainly.com/question/12431044
#SPJ1
In art class students are mixing blue and red paint to make purple paint. Hassan
mixes 1 cup of blue paint and 3 cups of red paint. Skylar mixes 5 cups of blue paint
and 3 cups of red paint. Whose purple paint will be bluer?
The person whose purple paint will be bluer is Skylar.
Whose purple paint will be bluer?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
In this case, Hassan mixes 1 cup of blue paint and 3 cups of red paint. The percentage for blue paint will be:
= 1 / (1 + 3) × 100
= 1/4 × 100
= 25%
Skylar mixes 5 cups of blue paint and 3 cups of red paint. The percentage for blue will be:
= 5 / (5 + 3) × 100
= 5/8 × 100
= 62.5%
Skylar has bluer paint.
Learn more about percentages on:
brainly.com/question/24877689
#SPJ1
Warm-Up
Jug
Use the diagram below to answer the questions.
Intro
K
P
M
Which are shown on the diagram? Check all that apply.
O
OKM
Ojk
OPK
OLJK
COM
Dong
KM, JK, PK, and MJ are shown on the diagram.
Then the correct options are B, C, D, and F.
Since, Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
A line segment in mathematics has two different points on it that define its boundaries.
All the line segments will be
JK, JM, KM, MP, PK, and KL
The triangle KPM.
And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.
Then the correct options are B, C, D, and F.
Learn More about the coordinate geometry visit:
brainly.com/question/18269861
#SPJ1
Solve the equation: x²-2x=8
Show all the Steps with explanation.
Answer:
x = 4, -2
Step-by-step explanation:
x^2-2x=8
Move the constant term to the right side of the equation.
x^2 - 2x = 8
Take half of the coefficient of x and square it.
(-2/2)^2 = 1
Add the square to both sides of the equation.
x^2 - 2x + 1 = 8 + 1
Factor the perfect square trinomial.
(x - 1)^2 = 9
Take the square root of both sides of the equation.
x-1=\(\sqrt{9}\)
x-1=±3
Isolate x to find the solutions.
Taking positive
x=3+1=4
x=4
Taking negative
x=-3+1
x=-2
The solutions are:
x = 4, -2
Answer:
\(x = -2,\;\;x=4\)
Step-by-step explanation:
To solve the quadratic equation x² - 2x = 8 by factoring, subtract 8 from both sides of the equation so that it is in the form ax² + bx + c = 0:
\(x^2-2x-8=8-8\)
\(x^2-2x-8=0\)
Find two numbers whose product is equal to the product of the coefficient of the x²-term and the constant term, and whose sum is equal to the coefficient of the x-term.
The two numbers whose product is -8 and sum is -2 are -4 and 2.
Rewrite the coefficient of the middle term as the sum of these two numbers:
\(x^2-4x+2x-8=0\)
Factor the first two terms and the last two terms separately:
\(x(x-4)+2(x-4)=0\)
Factor out the common term (x - 4):
\((x+2)(x-4)=0\)
Apply the zero-product property:
\(x+2=0 \implies x=-2\)
\(x-4=0 \implies x=4\)
Therefore, the solutions to the given quadratic equation are:
\(\boxed{x = -2,\;\;x=4}\)
Prove: The product of the slopes of lines AC and BC is -1.
Given that the AC and BC are perpendicular, their slopes are the negative inverse of each other which gives that the product of the slopes of AC and BC is -1
How can the prove that the product of the slopes is -1 be found?The completed proof is presented as follows;
The slope of AC or GC is GF/FC by definition of slope. The slope of BC or CE is DE/CD by definition of slope.
<FCD = <FCG + <GCE + <ECD by angle addition property <FCD = 180° by the definition of a straight angle, and <GCE = 90° by definition of perpendicular lines. So by substitution property of equality 180° = <FCG + 90° + <ECD. Therefore 90° - <FCG = <ECD, by the subtraction property of equality . We also know that 180° = <FCG + 90° + <CGF by the triangle sum theorem and by the subtraction property of equality 90° - <FCG = <CGF, therefore <ECD = <CGF by the substitution property of equality. Then <ECD ≈ <CGF by the definition of congruent angles. <GFC ≈ <CDE because all right angles are congruent. So by AA ∆GFC ~ ∆CDE. Since the ratio of corresponding sides of similar triangles are equal then GF/CD = FC/DE or GF•DE = CD•FC by cross product. Finally, by the division property of equality GF/FC = CD/DE. We can multiply both sides using the slope of using the multiplication property of equality to get GF/FC × -DE/CD = CD/DE × -DE/CD. Simplify so that GF/FC × -DE/CD = -1. This shows that the product of the slopes of AC and BC is -1.
Learn more about perpendicular lines here:
https://brainly.com/question/20475360
#SPJ1
Matt ran 8 laps in 1,256 seconds. If he ran each lap in the same amount of time , how many seconds did it take him to run 1 lap
Matt takes 157 seconds to run 1 lap.
What is ratio?Ratio basically compares quantities, that means it shows value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Time taken to run 8 laps = 1,256 seconds
To find time taken to run 1 lap, use the ratio property,
8 laps = 1256 seconds
1 lap = 1256/8 seconds
1 lap = 157 seconds
Matt takes 157 seconds to run 1 lap.
To learn more about Ratio on :
https://brainly.com/question/13419413
#SPJ1
A triangle has sides with lengths 4.15, 7.092 and 12.45. What is the perimeter of the triangle?
Answer:
Perimeter = 23.692 units
Step-by-step explanation:
Perimeter = sum of all his sides
then:
Perimeter = 4.15 + 7.092 + 12.45
Perimeter = 23.692 units
D What is the solution for the equation? 5 3 2-4+1 1
Answer:
539
Step-by-step explanation:
532 - 4+11= 539
Some children share 5 apples equally among themselves
Answer: they each get 5 if they had 5 of them
Step-by-step explanation:
100 Points! Algebra question. Photo attached. Please show as much work as possible. Thank you!
The values of the trigonometry functions are sin(θ) = 3/√13, cos(θ) = 2/√13, tan(θ) = 3/2, csc(θ) = √13/3, sec(θ) = √13/2 and cot(θ) = 2/3
Finding the values of the trigonometry functionsfrom the question, we have the following parameters that can be used in our computation:
The right triangle
The hypotenuse of the right triangle is calculated as
h² = 2² + 3²
When evaluated, we have
h = √13
The values of the trigonometry functions are then evaluated as
sin(θ) = 3/√13
cos(θ) = 2/√13
tan(θ) = 3/2
csc(θ) = √13/3
sec(θ) = √13/2
cot(θ) = 2/3
Read more about trigonometry functions at
https://brainly.com/question/24349828
#SPJ1
express the following equation in slope-intercept form: 2x+3y=-3
Answer:
Hope this helps and have a great day!
If you need me to explain more let me know!
What's 2|–9| – |–2|?
Answer:
Step-by-step explanation: AS YOU KHOW THW ABSOLUTE VALUE OF A QUESTION IS NUMBER ITSELF IF THERE IS MINUS SIGH THEN THE SIGH OF A NUMBER WILL BECOME PLUS OR IF THERE IS A PLUS SIGH THEN THERE IT WILL REMAIN AS IT IS. IF THERE IS NO NUMBER WITH THE MINUS SIGH THEN THE MINUS SIGH WILL REAMIN AS IT IS.
+2 +9 - +2
The answer has same sigh, then Plus answer will you get is
+11 - 2 then you will minus the answer will be
+9
HOPE IT HELP YOU
Solve the inequality 2x – 15<_5
Answer:
you write the inequality in a hazy way, so i got to solve all the possibilities of it , choose the one u need.
Step-by-step explanation:
\(case \: 1 \\ 2x - 15 \leqslant 5 \\ 2x \leqslant 20 \\ x \leqslant 10 \\ case \: 2 \\ 2x - 15 < - 5 \\ 2x < 10 \\ x < 5 \\ \)
\(case \: 3 \\ 2x - 5 < 5 \\ 2x < 10 \\ x < 5\)
An angle with an initial ray pointing in the 3-o'clock direction measures θ radians (where 0≤θ<2π). The circle's radius is 3 units long and the terminal point is located at (−2.69,−1.33)
a. The terminal point is how many radius lengths to the right of the circle's vertical diameter. H=____ radians
B.When we evaluate cos−1(h) using a calculator or computer, the value returned is
____ radians
c.Therefore, θ=
a) The terminal point is 0.896 radius length.
b) The value returned is -0.896.
We have,
The circle's radius is 3 units long and the terminal point is located at (−2.69,−1.33)
a. Since the circle's radius is 3 units long, we divide the x-coordinate by 3:
x-coordinate of terminal point: -2.69
Number of radius lengths to the right: -2.69 / 3 ≈ -0.896
However, since the angle is measured from the 3-o'clock direction, we consider it to be in the clockwise direction.
Thus, the number of radius lengths to the right is
Number of radius lengths to the right: -(-0.896) = 0.896
Therefore, the terminal point is 0.896 radius length.
b. Using Trigonometry
cos(h) = x-coordinate of terminal point / radius length
cos(h) = -2.69 / 3 ≈ -0.896
c. As, θ = h. From the given information, we have:
θ ≈ -0.896 radians
Learn more about terminal point here:
https://brainly.com/question/28977111
#SPJ1
different equation dy÷dx+ytanx=secx
Answer:
First, we rearrange the equation to isolate the y-term on one side:
dy/dx + ytanx = secx
Then, we multiply both sides by the integrating factor, which is e^(∫tanx dx) = e^(ln|secx|) = |secx|: | secx| dy/dx + ysecx tanx = 1
Next, we can write this as the derivative of a product using the product rule: d/dx (y |secx|) = 1
Integrating both sides with respect to x, we get: y |secx| = x + C
where C is the constant of integration. Solving for y, we have:
y = (x + C)/|secx|
Note that there is a singularity at x = (2n + 1)π/2, where the denominator |secx| is zero. At these points, the solution is not defined
Explain how to determine points of intersection
Answer
Check Explanation
Explanation
If the two functions whose point(s) of intersection is to be detwermined have been plotted on the same graph, the point of intersection is simply the point where the graphs of the two functions cross each other.
To read that, the point where they cross each other is simply traced to the the axis and the x and y coordinate
if one card is drawn from a standard deck of 52 playing cards, what is the probability of drawing an ace?*
1/2
1/13
1/52
1/4
Answer:
1/13
Step-by-step explanation:
If there are 4 suits in a deck of cards, there are only 4 aces inside a complete deck. That means the probability of drawing an ace is 4/52 and just simply simplify the answer to 1/13. (4/52, 2/26, 1/13) Hope that helps!
2) After driving for 20 minutes, you have travelled 16 miles. On the same trip, after driving 55
minutes, you have travelled 60 miles. What is the average rate of travel? (don't forget the units)
Answer:
76 miles in a 1 hour in 20 min
Step-by-step explanation:
United Airlines flight 1832 from chicago to orlando is on time 80% of the time, according to united states airlines. Suppose 65 flights are randomly selected.
A) find the probability that exactly 22 flights are on time.
B) Find the probability that at least 2 flights are on time.
Answer:
A. 7.88*10^(-16)
B. 1.0000000 (almost certainty)
Step-by-step explanation:
United Airlines flight 1832 from chicago to orlando is on time 80% of the time, according to united states airlines. Suppose 65 flights are randomly selected.
Binomial distribution will be required for the discrete case where there can be only two outcomes for each trial, success or failure, and where the number of experiments is known, and the probability of success is known and remains constant.
P(x) = n* (C(n,x)*p^x*(1-p)^(n-x)
where
n = size of experiment in number of trials
p = probability of success of one individual trial
x = number of successes
C(n,x) = number of combinations when x objects are taken out of n
= n!/(x!*(n-x)!)
P(x) = probability of success out of n experiments.
A) find the probability that exactly 22 flights are on time.
n = 65
x = 22
p = 0.80
P(22) = C(65,22) (0.80^22 * 0.20^(65-22))
= 65!/(22!(65-22)!) * (0.80^22 * 0.20^(65-22))
= 7.88*10^(-16)
B) Find the probability that at least 2 flights are on time.
We find the probabilities of 0 and 1 flight on time, and subtract from 1 to get probability of at least 2 on time.
P(0) = C(65,0)*0.8^0*0.2^65 = 3.689*10^(-46)
P(1) = C(65,1)*0.8^1*0.2^64 = 9.59*10^(-44)
Therefore probability of having at least 2 flights on time equals
1-P(0)-P(1) = 1-3.689*10^(-46)-9.59*10^(-44) = 1.0 (almost certainty)