Sam increase the amount of protein she eats by a percentage of 30%.
To find the percentage increase, we can use the formula: (change in amount / original amount) x 100%.
Percentage is a way to express a number as a fraction of 100. It is a convenient method for comparing ratios or proportions because it standardizes them to a common denominator of 100. In this case, we want to find the percentage increase in Sam's daily protein consumption.
First, we need to determine the change in amount. This can be found by subtracting the original amount from the new amount: 58.5g - 45g = 13.5g.
Next, we'll divide the change in amount by the original amount: 13.5g / 45g = 0.3. To express this as a percentage, we'll multiply by 100: 0.3 x 100% = 30%.
Therefore, Sam increased her daily protein intake by 30%. This percentage helps us understand the relative change in her protein consumption compared to her initial intake.
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Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by 3 and add 1. Now repeat the process with your new number. If you keep going, you'll eventually end up at 1. Explain why you get 1 every time. I don't know why I end up with 1 every single time. Can someone help me please?
Answer:
Because the process by itself will force the numbers to be eventually reduced to an even number whose half is always another even number. For example, if you start taking the number 3, the result will be 10; then, the result of 10 will be 5; then, the result will be 16. When you get 16, the result will be 8, then 4, then 2 and finally 1.
Step-by-step explanation:
is the following statement true? prove your answer. if x is a non-zero rational number and y is an irrational number, then y/x is irrational.
If x is a non-zero rational number and y is an irrational number, then y/x is irrational: TRUE
Assume that y/x is rational.
This means that we can write y/x as a fraction in the form a/b, where a and b are integers and b is non-zero.
y/x = a/b
Multiplying both sides by x, we get:
y = ax/b
Since x is a rational number, it can be expressed as a fraction in the form c/d, where c and d are integers and d is non-zero.
x = c/d
Substituting x with c/d in the above equation, we get:
y = ac/bd
Now, we have expressed y as a fraction, which contradicts the given fact that y is an irrational number. Hence, our assumption that y/x is rational must be false.
Therefore, y/x is irrational.
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All the numbers coming from P= - n² + 41 are prime numbers.
If N= 1 then P= 1² - 1 + 41
P=41
Is 41 a prime number? Why?
If n= 37 will P be a prime number? Why?
Try some of your own values for n ( choose 3 numbers Greater than 38 and state if P Is prime or not)
If all the numbers coming from P= - n² + 41 are prime numbers. Yes, 41 is a prime number.
What is a prime number?A prime number is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself. In this case, when n = 1, P = -1^2 + 41 = 40 + 1 = 41, which is a prime number.
When n = 37, P = -37^2 + 41 = -1368, which is not a prime number since it is divisible by 2, -2, 3, -3, 4, and -4. Therefore, when n = 37, P is not a prime number.
If we choose n = 39, P = -39^2 + 41 = -1520, which is not a prime number since it is divisible by 2, -2, 4, -5, 8, -10, 19, -20, 38, and -76. Therefore, when n = 39, P is not a prime number.
If we choose n = 40, P = -40^2 + 41 = -1599, which is not a prime number since it is divisible by 3, -3, 7, -9, 21, and -63. Therefore, when n = 40, P is not a prime number.
If we choose n = 41, P = -41^2 + 41 = -1680, which is not a prime number since it is divisible by 2, -2, 3, -4, 5, -6, 8, -10, 12, -15, 20, -24, 30, -40, 60, and -120. Therefore, when n = 41, P is not a prime number.
Therefore, not all numbers obtained from P = -n^2 + 41 are prime numbers.
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Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each
person takes a turn rolling two dice and earns or loses points based on what they role. Points are
awarded according to the following table:
Roll
Points
Same number on both dice
+3
Different numbers, with an even sum
+1
An odd sum
-2
At the end of ten rounds, the person with the highest number of points wins.
In the first five rounds, Abbie got four odd sums and one pair of threes. How many points does she need
to have an exact score of zero? What is the least number of rounds it will take her to have an exact score
of zero? Explain your reasoning using complete sentences.
Select the correct answer.
What is the equation of the parabola shown in the graph?
Based on the above, the equation of the parabola shown in the graph is x=y²/8+y/2+9/2
What is the equation about?Note that based on the question, we were given:
directrix: x=2focus = (6,-2)The Standard equation of parabola is one that is given by:
(y - k)2 = 4p (x - h)
Note also that:
directrix : x=h-pfocus=(h + p, k)Hence, by comparing the similarities of the give value with the one above:
(h + p, k)= (6,-2)
k=-2
h+p=6
h=6-p
Hence: directrix: x=h-p
h-p=2
So by Plugging the value of h=6-p into the above equation:
6-p-p=2
6-2p=2
-2p=2-6
-2p=-4
p=-4/-2
p=2
Plugging p=2 into h-p=2, it will be:
h=2+p
h=2+2
h=4
By plugging k=-2, p=2, h=4 in standard equation of parabola will be:
(y - k)2 = 4p (x - h)
(y-(-2))² = 4(2) (x - 4)
(y+2)² = 8 (x - 4)
y2+4y+4=8x-32
y2+4y+4+32=8x
x=y²/8+4y/8+36/8
x=y²/8+y/2+9/2
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5 added to 6 times a number gives 47
Answer:
number is 7
Step-by-step explanation:
let n be the number then 6 times the number is 6n and 5 added to it is
6n + 5 = 47 ( subtract 5 from both sides )
6n = 42 ( divide both sides by 6 )
n = 7
the required number is 7
Is each product less than 1, equal to 1, or greater than 1?
Place each product into the correct box.
1/2x4 1/2x1 1/4x3
The product is greater than 1 < 8.4375
Given:
In the question:
Product the following question:
1/2 x 4\(\frac{1}{2}\) x \(1\frac{1}{4}\) x 3
Now, According to the question;
1/2 x 4\(\frac{1}{2}\) x \(1\frac{1}{4}\) x 3
Solve the mixed fraction:
1/2 x 9/2 x 5/4 x 3
Write as a single fraction:
(9 x 5 x 3) / (2 x 2 x4)
Calculate the product or quotient:
= 135/ 16
= 8.4375
Hence, The product is greater than 1 < 8.4375
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Maysa made an error in her work on the following problem.
3
.
5
−
2
.
46
=
1
.
16
Describe Maysa's error. Explain how you would use a model or place-value concepts to help Maysa build understanding. Give the correct answer in your explanation.
The error in the subtraction process is that 0.1 is not added to the 0 in the hundredth place of the term 3.5, so as to enable 0.06 to be subtracted from it.
The correct equation is as follows;
3.5 - 2.46 = 1.04
Which method can be used to find the correct value to the equation?The given equation that has an error is presented as follows;
3.5 - 2.46 = 1.16
The description of the error in the above equation is that during subtraction, the 0.06 value on the right of the subtraction mark is not subtracted from the zero to the right of .5, and carried down.
The correct process for the subtraction is presented as follows;
3.5¹0
- 2.46
1.04
Therefore;
3.5 - 2.46 = 1.04
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Suppose you have 20 coins that total $3.00. Some coins are nickels and some are quarters. Which of the following pairs of equations would you use to find out how many of each coin you have?
Answer:
Step-by-step explanation:
n + q = 20
.05n + .25q = 3.00
5n + 25q = 300
n + q = 20
5n + 25q = 300
-5n - 5q = -100
20q = 200
q = 10 quarters
n + 10 = 20
n = 10 nickels
(10 nickels, 10 quarters)
what is one million, five hundred fifty-three thousand, five hundred fifty-five in standard form
help me pls!
Answer: 1,553,555
Step-by-step explanation:
1,000,000
553,000
550
1,553,555
Answer:
1553,555 that's the answer for that question
If YZ is the requested side and XZ is the given side, which ratio amongst sin 35,3° or cos 35,5° will be used to calculate YZ
The answer of the given question based on the trigonometry is , to calculate YZ, we should use the cosine function with the angle 35.5°.
What is Sine function?The sine function is a mathematical function that relates the ratios of the lengths of two sides of a right triangle with the measure of one of its non-right angles. Specifically, the sine of an angle in a right triangle is defined as the ratio of the length of the side opposite to the angle to the length of the hypotenuse.
To use trigonometry to calculate YZ, we need to find a trigonometric ratio that involves the given side XZ and the angle opposite the requested side, which is angle YXZ. We don't have the measure of this angle, but we know that it is supplementary to the given angle 35.5°, so it must measure:
180° - 35.5° = 144.5°
We can use this angle and the given side XZ to find the length of YZ using the sine or cosine function.
In this case, the length of the opposite side is YZ, the length of the hypotenuse is XZ, and the measure of the angle is 144.5°. So we can write:
sin(144.5°) = YZ / XZ
Solving for YZ, we get:
YZ = XZ * sin(144.5°)
On the other hand, the cosine function , this case, the length of the adjacent side is YZ, the length of the hypotenuse is XZ, and the measure of the angle is 35.5°. So we can write:
cos(35.5°) = YZ / XZ
Solving for YZ, we get:
YZ = XZ * cos(35.5°)
Therefore, to calculate YZ, we should use the cosine function with the angle 35.5°.
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What is the approximate value of x in the equation below? log Subscript 5 Baseline 15 = x 3.
The approximate value of x in the equation using change of the base of logarithmic rule found as -1.317.
What is change of base rule of logarithmic function?The change of base rule of the log is used to write the given logarithmic number in terms of ratio of two log numbers.
For example,
\(\log_ba=\dfrac{\log_xa}{\log_xb}\)
Here, a,b is the real number and x is the base.
The logarithmic equation given in the problem is,
\(log_5(15) = x+ 3\)
Using the change of base formula, the above equation can be written as,
\(\dfrac{log{15} }{log{5} }= x+ 3\)
Isolate the x variable as,
\(x=\dfrac{log{15} }{log{5} }- 3\\x=\dfrac{1.17609}{0.69897}- 3\\x\cong-1.317\)
Hence, the approximate value of x in the equation using change of the base of logarithmic rule found as -1.317.
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Answer:
B
Step-by-step explanation:
B) -1.317
The total cost of n bags of flour is $d. Write down an expression for the cost of one bag of flour.
Answer:
If the total cost of n bags of flour is $d, then the cost of one bag of flour can be found by dividing the total cost by the number of bags. Therefore, the expression for the cost of one bag of flour is:
Cost of one bag of flour = d/n
This expression gives the cost of one bag of flour as the ratio of the total cost to the number of bags.
(Please could you kindly mark my answer as brainliest and a follow to my account would be really helpful.)
The cost of one bag of flour, given that the total cost for 'n' bags is 'd', can be calculated by simply dividing the total cost by the number of bags, represented by the expression d/n.
Explanation:In this problem, we are given the total cost (d) of a certain number of bags of flour, represented by the variable 'n'. To find the cost of a single bag of flour, we would have to divide the total cost by the total number of bags. Doing so will allow us to determine how much one bag of flour costs. Therefore, the expression for the cost of one bag of flour would be d/n.
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Take the first 4 digits of your student number as the first number and the last 3 digits as the second number. Write the matlab code to find the greatest common divisor of these numbers using the Euclidean algorithm.
The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.
To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:
% Replace '12345678' with your actual student number
studentNumber = '12345678';
% Extract the first 4 digits as the first number
firstNumber = str2double(studentNumber(1:4));
% Extract the last 3 digits as the second number
secondNumber = str2double(studentNumber(end-2:end));
% Find the GCD using the Euclidean algorithm
gcdValue = gcd(firstNumber, secondNumber);
% Display the result
disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);
Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.
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Help please , 20 points
If the measure of angle A is 23 degrees, the approximate measure of angle B is 67°.
If CA = 6.5 and BD = 5, then AD = 4.15 units.
What is a supplementary angle?In Mathematics and Geometry, a supplementary angle simply refers to two (2) angles or arc whose sum is equal to 180 degrees.
Additionally, the sum of all of the angles on a straight line is always equal to 180 degrees. In this scenario, we can logically deduce that the sum of the given angles are supplementary angles:
m∠ACB + m∠A + m∠B = 180°
m∠B = 180° - (90 + 23)
m∠B = 67°
Since AB is a diameter (angle D is a right angle), we would apply Pythagorean's theorem to find AD as follows;
AB² = AD² + DB²
AD² = AB² - DB²
AD² = 6.5² - 5²
AD = √17.25
AD = 4.15 units.
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PQRS is a rectangle.
The length of PM and QM are shown in the diagram
what is the value of X?
Answer:
diagram pls
then I can answer this question
Pls help me but pls dont send me a link im begging u
Answer:
Step-by-step explanation:
24 + 3r >= 100 is the equation
Answer:
I dont know the 1st one but the bottom one is
Yes
how many groups of 1/5 are in 4 in fraction form
Which plant is the furthest below the surface
of the water?
A. sea grass
B. green seaweed
C. mangrove
D. red algae
Answer: The answer is seagrass
Step-by-step explanation: I did it and got it right
gregory has a coupon for $1 off the purchase of 3 boxes of munchie brand cereal. the store has 5 different varieties of munchie brand cereal. how many ways can gregory choose 3 boxes of cereal?
Gregory has 10 ways to choose 3 boxes of cereal.
What do you mean by purchase?
A corporation or organization uses the purchasing process to buy products or services in order to achieve its objectives. Although many organizations make an effort to establish standards for the purchasing process, procedures can differ significantly between organizations.
According to data in the given question,
We have :
The purchase of 3 boxes and the store has 5 different varieties of munchie brand cereal.
The order in which the boxes of cereal are chosen is not important as Gregory can randomly choose any 3 different varieties. So, this is a combination problem.
Use the combination formula:
\(_nC_r=\dfrac{n!}{r!(n-r)!}\)
Putting n=5 (5 different varieties) and r=3 (3 different varieties). So, the number of ways Gregory choose 3 boxes of cereal is:
\(_{5}C_3=\dfrac{5!}{3!(5-3)!}=\dfrac{5!}{3!2!}= \frac{5.4.3.2.1}{3.2.1.2.1} _{5}C_3=\dfrac{5\cdot 4}{2\cdot 1}=10\)
Therefore, the required answer is 10 ways.
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Pllssss helppppp thank u
(q59) Evaluate the integral
The value of the integral ∫√x/(x - 4) dx from 9 to 16 is 3.022
How to evaluate the integralFrom the question, we have the following parameters that can be used in our computation:
∫√x/(x - 4) dx from 9 to 16
The above expression can be integrated using integration by parts method
When integrated, we have
∫√x/(x - 4) dx = 2(√x - ln(√x + 2) + ln(|√x - 2|))
Recall that the x values are from 9 to 16
This means that
∫√x/(x - 4) dx = 2(√16 - ln(√16 + 2) + ln(|√16 - 2|)) - 2(√9 - ln(√9 + 2) + ln(|√9 - 2|))
So, we have
∫√x/(x - 4) dx = 2(4 - ln(4 + 2) + ln(|4 - 2|)) - 2(3 - ln(3 + 2) + ln(|3 - 2|))
Solving further, we get
∫√x/(x - 4) dx = 2(4 - ln(6) + ln(2)) - 2(3 - ln(5) + ln(1))
Evaluate
∫√x/(x - 4) dx = 3.022
Hence, the value of the integral is 3.022
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Evaluate the function g(x) = 8x + 16 when x = -3,0, and 8.
g(-3) =
) 0
g(0) =
9(8) =
Answer:
Step-by-step explanation:
what is represented by the distance between two vertical white gridlines on this graph? what is represented by the distance between two vertical white gridlines on this graph? a population increase of 20 million a population increase of 2 billion a time span of 20 years a time span of 50 years
The distance between two vertical white gridlines on a graph typically represents a specific interval or scale.
Based on the options you provided, the correct answer would depend on the context of the graph.
If the graph is displaying population data over time, the distance between two vertical white gridlines could either represent:
- A time span of 20 years
- A time span of 50 years
If the graph is displaying population increase directly, the distance could represent:
- A population increase of 20 million
- A population increase of 2 billion
To determine the correct answer, please examine the labels and context of the graph you are analyzing.
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please help with this question!
Answer: The first 3 options
Step-by-step explanation:
You have to make sure that the given variable would be able to equal -5. The \(\geq\) sign in the second and third answer show that the variable could be equivalent to -5.
Answer:
g > -7, f ≤ -5 and g ≥ -5
Step-by-step explanation:
the < and > symbols mean less than and greater than respectively, but not including. Therefore -5 cannot be a valid solution if the range is (for example) g > -5. However, ≤ and ≥ mean less/greater than or equal to, so -5 would be a valid solution for g ≥ -5 (for example).
3 (p+q) -5 (p-q) expand and simplify
Answer:
-2p + 8q
Step-by-step explanation:
Distribute 3 and -5 in:
\(\displaystyle{=3\cdot p + 3\cdot q -5\cdot p -5\cdot \left(-q\right)}\\\\\displaystyle{=3p+3q-5p+5q}\)
Add the like terms:
\(\displaystyle{=\left(3p-5p\right)+\left(3q+5q\right)}\\\\\displaystyle{=-2p+8q}\)
Therefore, the answer is -2p + 8q
The answer is:
-2p + 8qWork/explanation:
Let's use the distibutive property:
\(\sf{3(p+q)-5(p-q)}\)
\(\sf{3p+3q-5p+5q}\)
Now combine the like terms,
\(\sf{3p-5p+3q+5q}\)
\(\sf{-2p+8q}\)
We can't simplify this any further; we have arrived at our final answer.
Hence, the answer is -2p + 8q.T/F as a leader, jui-en believes that he should change his behaviors to match the circumstances because no one style works all the time. jui-en is applying the FITB approach to leadership
As a leader, Jui-En tbelieve that he should change his behaviors to match the circumstances because no style works all the time. Jui-En is applying the socialized approach to leadership.
What is a socialized approach to leadership?Employee motivation can be boosted by socialization, affirming reward, lead their vision, offer impressive benefits and encourage the temwork.
Employees who socialize who can sosialized in the workplace can increase their work efficiency because its reduce the work pressure by sharing information and teamwork which is important to thriving a company.
So, the correct answer is sosialized.
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How do you plot a log log graph?
The required way to plot the graph of log function is described.
What is the graph of log function?It can be represented graphically as follows: The graph of any function's inverse function is the reflection of the function's graph about the line y=x. The reflection of the preceding graph about the line y=x is the graph of the logarithmic function y=log3(x), which is the inverse of the function y=3x.
According to question:The function loglog(X, Y) shows the x- and y-coordinates on the x- and y-axes, respectively, using a base-10 logarithmic scale. Specify X and Y as vectors of the same length in order to visualise a set of coordinates connected by line segments. You must provide at least one of X or Y as a matrix in order to plot several sets of coordinates on the same set of axes.
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How do I do this please explain step by step !!
Answer:
you will need a graph
Step-by-step explanation:
so you will need to find -4 on the x axis and find 4 on the y axis then join the points and the same with -9 on x axis and 6 on y axis then the same on all of them
ap calc multiple choice question; attached below
please explain how, please!
Answer:
C. \(\frac{f(b)-f(1)}{b-1}=20\)
General Formulas and Concepts:
Calculus
Mean Value Theorem (MVT) - If f is continuous on interval [a, b], then there is a c∈[a, b] such that \(f'(c)=\frac{f(b)-f(a)}{b-a}\)MVT is also Average ValueStep-by-step explanation:
Step 1: Define
\(f(x)=e^{2x}\)
f'(c) = 20
Interval [1, b]
Step 2: Check/Identify
Function [1, b] is continuous.
Derivative [1, b] is continuous.
∴ There exists a c∈[1, b] such that \(f'(c)=\frac{f(b)-f(a)}{b-a}\)
Step 3: Mean Value Theorem
Substitute: \(20=\frac{ f(b)-f(1)}{b-1}\)Rewrite: \(\frac{ f(b)-f(1)}{b-1}=20\)And we have our final answer!