The units of measurement you see on a food label vary depending on the nutrient being measured. Common units of measurement include grams (g), milligrams (mg), micrograms (mcg), kilocalories (kcal), and daily values (%DV).
Grams (g) are the most common unit of measurement for food labels. They are used to measure the weight of a food item. For example, a serving of cereal might be 1 cup (240 g).
Milligrams (mg) are used to measure smaller quantities of nutrients. For example, a serving of cereal might contain 10 mg of iron.
Micrograms (mcg) are even smaller units of measurement and are used to measure very trace amounts of nutrients. For example, a serving of cereal might contain 2 mcg of vitamin B12.
Kilocalories (kcal) are used to measure the energy content of a food item. For example, a serving of cereal might contain 150 kcal.
Daily values (%DV) are a way of comparing the nutrient content of a food item to the recommended daily intake of that nutrient. For example, a serving of cereal might contain 10% of the DV for iron.
In addition to the units of measurement listed above, you may also see other information on a food label, such as the serving size, servings per container, and the ingredients. The serving size is the amount of food that is considered to be a single serving. The servings per container is the number of servings in the entire package. The ingredients list all of the ingredients that are used to make the food item. daily values to assist consumers in making informed dietary choices.
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need help omg I’ve been stuck
Answer:
x = -2.75
Step-by-step explanation:
:D
14 - 3 = 11
11 / -4 = -2.75
Cindy and Tim went to the state fair. They paid a $4.50 entry and $1.25 per ride ticket
Find the slope, y-intercept and write the equation for this Linear Relationship.
Answer:
Write more compactly about functional relationships such as, “If you sell x tickets, then your profit will be ... Jason goes to an amusement park where he pays $8 admission and $2 per ride.
The picture shows a beanbag toss target that Morris made for his grandson’s birthday. He made the target resemble a face by cutting out shapes from a piece of plywood. The piece of plywood and nose are similar rectangles that have the dimensions shown.
Problem
What is h, the height of the nose in inches?
A) 8.75 inches
B) 18 inches
C)7.5 inches
D) 4.8 inches
The height of the nose (h) is 7.5 inches.So the final answer is C) 7.5 inches.
To find the height of the nose, we need to look at the dimensions given in the diagram. We know that the nose and the piece of plywood are similar rectangles, which means that their corresponding sides are proportional.
Let's use the given dimensions to set up a proportion:
height of nose / height of plywood = width of nose / width of plywood
h/24 = 2.5/10
Simplifying this proportion, we get:
h = (24 x 2.5) / 10 = 6
Therefore, the height of the nose is 6 inches. However, we need to be careful with units - the dimensions given in the diagram are in feet, not inches. So we need to convert:
6 inches = 0.5 feet
Finally, we need to add this height to the height of the plywood (which is given as 7 feet), and convert back to inches:
7 feet + 0.5 feet = 7.5 feet = 90 inches
So the final answer is C) 7.5 inches.
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Janelle is packing a suitcase that currently weighs 22 kg22kg22, start text, k, g, end text. She has one more item to pack that weighs xxx kilograms. She wrote this equation to think about the total weight of the suitcase (t)(t)left parenthesis, t, right parenthesis given the weight of the final item (x)(x)left parenthesis, x, right parenthesis:
x+22=tx+22=tx, plus, 22, equals, t
Identify the dependent and independent variables
Answer:
1. independent 2. dependent
Step-by-step explanation:
If 3a - 2 = 10, what is the value of 8a + 1?
Answer:
8a+1=33
Step-by-step explanation:
you can solve 3a-2=10 by simplifying to 3a=12, so a=4. Then you replace the a in 8a+1 with 4 to get 32+1, which is 33
Answer:
33
Step-by-step explanation:
3a-2= 10
3a=12
a=4
in this equation a=4 so you substitute that value into the other equation
8(4) +1=33
Tom is making potato salad for family picnic At the market he spends $5.58 on red potatoes and $4.68 on yellow potatoes If each type of potato cost $0.90 per pound, how many total pounds of potatoes does he buy?
Answer:
11.4
Step-by-step explanation:
Answer:
11.4 lbs of potatoes total
Step-by-step explanation:
$5.58 red potatoes
$4.68 yellow potatoes
$0.90 per pound
5.58 / 0.90 = 6.2 lbs
4.68 / 0.90 = 5.2 lbs
5.2 + 6.2 = 11.4
the length of an arc of a circle is 1/5 of its circumference. if the area of the circle is346.5cm²,find the angle subtended by the arc at the centre of the angle
Answer:
72°
Step-by-step explanation:
From the question,
Area of the circle = πr²
A = πr²................. Equation 1
Where r = radius of the circle.
⇒ r = √(A/π)............. Equation 2
Given: A = 346.5 cm², π = 3.14
r = √(346.5/3.14)
r = √(110.35)
r = 10.5 cm.
Therefore,
circumference of the circle = 2πr = 2×3.14×10.5
circumference = 65.94 m
If the length of the arc(s) is 1/5 of its circumference.
Therefore, length of arc (s) = 13.188
⇒ length of arc/circumference = 13.188/65.94 = 1/5
s/2πr = θ/360
Where θ = angle substends at the center of the circle
1/5 = θ/360
θ = 360/5
θ = 72°
Jaya bought 20 lemons for ₹10 and sold at 5 for three rupees.
i) Find the selling price of 20 lemons.
ii) Find the amount of loss or profit she gets.
iii) Find percentage of loss or profit she gets.
i) Selling price of 20 lemons is ₹12.
ii) The profit is ₹2.
iii) The profit percentage is 20%.
i) Jaya bought 20 lemons for ₹10, which means the cost of one lemon is 10/20 = ₹0.50.
If she sells 5 lemons for ₹3, the selling price of one lemon is 3/5 = ₹0.60.
Therefore, the selling price of 20 lemons is 20 x ₹0.60 = ₹12.
ii) The cost price of 20 lemons is ₹10, and the selling price is ₹12.
So, the profit is ₹12 - ₹10 = ₹2.
iii) The profit percentage is calculated as (Profit/Cost price) x 100%.
In this case, the profit is ₹2 and the cost price is ₹10.
So, the profit percentage is (2/10) x 100% = 20%. Therefore, Jaya made a profit of 20% by selling lemons.
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er the follow
The temperature in Wisconsin was-8 degrees Fahrenheit in the morning By noon, it
had risen by 22 degrees Fahrenheit. What was the temperature at noon?
Answer:
14
Step-by-step explanation:
-8+22=14
(I'm not sure if this is right or not)
I hope this helped <3
Select the correct answer.
Which expression is equivalent to 27x^4/x^2? Assume that the denominator does not equal zero.
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The equivalent expression is ~
\( \boxed{27 {x}^{2} }\)
\( \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}\)
Let's solve ~
\( \dfrac{27 {x}^{4} }{ {x}^{2} } \)\( \dfrac{27 \times x \times x \times x \times x}{x \times x} \)\({27 \times x \times x}\)\(27 {x}^{2} \)1. Si μ es un ángulo agudo y cot μ = , ¿cuáles son los valores de todas las funciones trigonométricas de μ?
Answer:
Funciones trigonométricas de μ
sen (μ) = b/ √(a^2+ b^2)
cos (μ) = a/ √(a^2+ b^2)
tan (μ) = b/ a
cot (μ) = a/ b
sec (μ) = √(a^2+ b^2) / a
csc (μ) = √(a^2+ b^2) /b
Step-by-step explanation:
Ya que no proportionaste el valor de cot μ podemos suponer un valor = a/b para que tengas una respuesta general y reemplaces el valor de a y b de acuerdo con tu caso.
cot (μ) = a/b
_______________________________
Funciones trigonométricas
sen (μ) = cateto opuesto/ hipotenusa
cos (μ) = cateto adyacente/ hipotenusa
tan (μ) = cateto opuesto/ cateto adyacente
cot (μ) = cateto adyacente/ cateto opuesto
sec (μ) = hipotenusa / cateto adyacente
csc (μ) = hipotenusa /cateto opuesto
cot (μ) = cateto adyacente/ cateto opuesto = cot (μ) = a/ b
Por lo tanto:
Cateto adyacente = a
Cateto opuesto = b
Hipotenusa
H^2 = Cateto adyacente^2 + Cateto opuesto^2
H= √(a^2+ b^2)
Reemplaznado los valores de los catetos y la hipotenusa se obteienen los valores de las funciones trigonométricas de μ.
As a club fundraiser,
of students washed 40 cars
one weekend. The next
weekend, they washed 70
cars. What was the percent
increase in the number of
cars washed? how do i set up the problem??
Answer:
\(\frac{70 - 40}{40}*100\)
Step-by-step explanation:
Use the percent increase formula:
The final value is 70, because that's what they end with.
The initial value is 40, because that's what they start with.
Percent Increase = \(\frac{Final Value - Initial Value }{Initial Value} *100%\)
Which solution correctly solves the problem 6x - 19 = 77? plz help
A.
B.
C.
D.
Answer:
D
Step-by-step explanation:
in order to get the process of solving the equation, we need to solve it.
our goal to solve the equation 6x-19=77 is to isolate the variable onto one side, and have the numbers (value of x) on the other
we have the equation:
6x-19=77
first, we can get rid of -19 on the left side and leave 6x on that side by adding 19 to both sides (-19+19=0).
The reason why we're adding 19 to both sides is because if we do something to one side, we have to do it to the other side to make sure the value of the equation stays the same.
6x-19= 77
+19 +19
_________
6x=96
now, we do have the variables on one side and the numbers on another side, but we aren't done yet, as we want the value of x by itself
divide by 6 on both sides
x=16 (because 6x/6=1x, or x. 96/6=16).
the option of D shows the same method I did and has the correct answer as well.
This is what was given for D:
6x-19=77
6x-19+19=77+19
6x=96
6x/6=96/6
x=16
(same thing I did)
So D is the correct answer.
Hope this helps!
If a train runs on a circular track of radius 400 meters through all four sections of the park, about how long is the part of the train track that runs through Water World?
The arc length is given by:
\(s=2\pi r(\frac{\theta}{360})\)In this case the radius is 400 m and the angle is 36°, plugging these values we have:
\(\begin{gathered} s=2\pi(400)(\frac{36}{360}) \\ s=251.33 \end{gathered}\)Therefore, the part of the train track that runs through water world is approximately 250 meters.
Regina eats a piece of fruit from a basket of apples, bananas, pears, and melons. Later her brother eats a piece of fruit from the basket. Do these represent independent or dependent events? Explain your answer.
.Which of the following Pearson correlations shows the greatest strength or consistency of relationship?
a. â€"0.90 b. +0.74 c. +0.85 d. â€"0.33
The absolute value of the Pearson correlation coefficient indicates the strength or consistency of the relationship between two variables.
Therefore, the Pearson correlation coefficient with the greatest strength or consistency of relationship is the one with the highest absolute value.
In this case, the answer is:
a. â€"0.90
because it has the highest absolute value (|â€"0.90| = 0.90) among the options given. This indicates a very strong negative relationship between the two variables being compared.
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Find the x and y intercepts from the graph. Be sure to include parenthesis in your answer.
The x-intercept will be 5 , y-intercept will be 4 and the coordinate will be (x , y) = (5 , 4).
What is an intercept ?
An intercept is a location on the y-axis where the line's slope passes. It is the y-coordinate of the location where a line or curve crosses the y-axis.
It is given that we have to find out the x and y intercepts from the given graph.
We know that , a function's x-intercept is the value of x at the point where the graph crosses the horizontal axis, or when y = 0. As a result, while examining the function's graph, we find out that the x-intercept is equal to 5.
Similarly , The value of y when the graph crosses the vertical axis, or the value of y when x = 0, is the y-intercept of a function. As a result, while examining the function's graph, we find out that the y-intercept is equal to 4.
So , the coordinate will be (x , y) = (5 , 4).
Therefore , the x-intercept will be 5 , y-intercept will be 4 and the coordinate will be (x , y) = (5 , 4).
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If M=1,000,P=2.25, and Y=2,000, what is velocity? a. 2.25 b. 4.5 c. 2 d. None of the above is true
Answer:d
Step-by-step explanation:
The answer is d. None of the above is true.
To calculate velocity, we need to use the equation:
Velocity = M * P / Y
Given:
M = 1,000
P = 2.25
Y = 2,000
Plugging in the values:
Velocity = 1,000 * 2.25 / 2,000
Simplifying:
Velocity = 2.25 / 2
The result is:
Velocity = 1.125
Therefore, the correct answer is: d. None of the above is true.
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use the functions f and g in c[−1, 1] to find f, g , f , g , and d(f, g) for the inner product f(x) = 1, g(x) = 6x2 − 1
The values of the function are:
f(x) = 1
g(x) = 6x² - 1
f'(x) = 0
g'(x) = 12x
d(f, g) = 2
We have,
To find f, g, f', g', and d(f, g) for the inner product of functions f(x) = 1 and g(x) = 6x^2 - 1 in the interval [-1, 1], we need to perform the following calculations:
f(x) = 1
This function is constant, so its derivative is zero:
f'(x) = 0
g(x) = 6x² - 1
To find the derivative of g(x), we apply the power rule:
g'(x) = 12x
The inner product of two functions f and g over the interval [-1, 1] is defined as:
d(f, g) = ∫(f(x) x g(x)) dx
= ∫(1 x (6x² - 1)) dx
= ∫(6x² - 1) dx
= 2x³ - x | from -1 to 1
= (2(1)³ - 1) - (2(-1)³ - (-1))
= 2 - 1 - (-2 + 1)
= 2 - 1 + 2 - 1
= 2
Therefore,
The values of the function are:
f(x) = 1
g(x) = 6x² - 1
f'(x) = 0
g'(x) = 12x
d(f, g) = 2
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The weight of a honeybee is 1.2\cdot10^{-1}\text{ g}1.2⋅10 −1 g1, point, 2, dot, 10, start superscript, minus, 1, end superscript, start text, space, g, end text. The weight of the pollen collected by the bee on one trip is 6.0 \cdot 10^{-2} \text{ g}6.0⋅10 −2 g6, point, 0, dot, 10, start superscript, minus, 2, end superscript, start text, space, g, end text.
Answer:1.8*10^-1
Step-by-step explanation:
Answer: 1.8 x 10^−1
Step-by-step explanation:
Faizah is paid $11 per hour for her work at a factory. She works 9 hours a day and 24 days a month. She saves $594 a month. Express the amount she saves as a percentage of her income.
Answer:
The amount she saves is 25% of her income
Step-by-step explanation:
She is paid $11 per hour
She works 9 hours per day
and for 24 days per month
So, she works 9(24) hours per month
= 216 hours per month
Now, she is paid $11 hourly, so for 216 hours,
she will have 11(216) = $2376
Total income = $2376 per month
Saving = $594 per month
As a percentage, we divide the savings by the total income,
savings/(total income) = 594/2376 = 1/4 = 0.25
Hence we get 25%
Seven added to the product of 10 and k is less than or equal to 47. Which inequality shows this?
Answer:
Step-by-step explanation:
7 + 10 * k ≤ 47
10 * k ≤ 40
k ≤ 4
The path traveled by a bottlenose dolphin as it jumps out of water is modeled by the equation y = −0.4x2 + 3x, where y is the height above water and x is the horizontal distance in feet. If a beam of light is shone upward at an angle modeled by the equation x + y = 10, at what height from the water's surface will the beam of light hit the dolphin?
Answer:
5 feet
The graphs intersect at x = 5.
4. The celluloid bakery sells two types of cinnamon buns. They must sell at least 35 and not more than 95 cinnamon
strawberry raisin buns per day. Each day the number of cinnamon strawberry raisin buns cannot exceed twice the number of cinnamon chocolate mango buns baked. The number of cinnamon strawberry raisin buns cannot exceed 125 per day. If xis the number of cinnamon strawberry raisin buns baked daily and y is the number of cinnamon chocolate mango buns baked daily. What are the constraints.
Answer: 35≤ x ≤95
x ≤ 2y
y≤125
Step-by-step explanation:
In an optimization problem, a constraint is a condition with variables that the solution must meet.
Let x = Number of cinnamon strawberry raisin buns.
y = Number of cinnamon chocolate mango buns baked.
"at least 35 and not more than 95 cinnamon strawberry raisin buns per day."
⇒ 35≤ x ≤95
"cinnamon strawberry raisin buns cannot exceed twice the number of cinnamon chocolate mango buns baked."
⇒ x ≤ 2y
" cinnamon strawberry raisin buns cannot exceed 125 per day"
⇒ y≤125
Hence, the constraints are:
35≤ x ≤95
x ≤ 2y
y≤125
Now, let’s say the children sold 50 cups of lemonade on the first day and 90 cups on the second day. Which proportion can be used to calculate the percent increase in the number of lemonade cups sold?
If the children sold 50 cups of lemonade one the first day and 90 cups on the second day. then the percentage increase in the number of lemonade cups sold 80%
The number of cups of lemonade sold on first day = 50 cups
The number of cups of lemonade sold on second day = 90 cups
The percentage increase = (New value - Old value)/Old value × 100
Substitute the values in the equation
The percentage increase in the number of lemonade cups sold
= \(\frac{90-50}{50}\)×100
= 0.8×100
= 80%
Hence, if the children sold 50 cups of lemonade one the first day and 90 cups on the second day. then the percentage increase in the number of lemonade cups sold 80%
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Answer:
90-50/50 = P/100
Step-by-step explanation:
This is the correct answer on T4L!
Solve negative one sixth times the quantity 3 minus 15 times the quantity one third squared end quantity end quantity.
two thirds
18 over 54
negative two ninths
negative two and 42 over 54
Negative one sixth times the quantity 3 minus 15 times the quantity one third squared end quantity end quantity will be C. negative two ninths
How to compute the expression?Based on the information given, the expression will be:
= 1/6 ×( 3 - 15 ) × (1/3)²
= -1/6 × -12 × 1/9
= -2 × 1/9
= -2/9
In conclusion, the correct option is D.
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answer but no links. quickly please
Answer:
1. 18
2.3 and 3/4
3.6 and 1/4
Step-by-step explanation:
3 by 6 equals 18 since 12 divided by 2 is 6
15 divided upon 4 is 3.75 or 3 3/4
50 divided by 8 equals 6.25 or 6 1/4
8.) Polly loves polka dots. She has one bedspread with 25 polka dots, two pillows with 5 polka dots each, 4 sets of curtains that have 20 polka dots each, and 3 rugs with 15 polka dots. How many polka dots are in Polly's room? Write an expression to represent the problem and solve.
1. Using the mathematical operations of addition and multiplication, the number of polka dots that are in Polly's room is 130.
2. An expression representing the situation and solution is x + 2y + 4z + 15.
What is an expression?An expression is a mathematical statement combining variables, constants, numbers, and values with mathematical operands.
The mathematical operands for performing mathematical operations include addition (+), subtraction (-), multiplication (x), and division (÷).
The number of polka dots on the bedspread, x = 25
The number of polka dots on two pillows, 2y = 10 (5 x 2)
The number of polka dots on 4 sets of curtains, 4z = 80 (4 x 20)
The number of polka dots on 3 rugs = 15
The total number of polka dots in Polly's room = 130
Let x = 25, y = 5, and z = 20
Expression:x + 2y + 4z + 15
x + 2y + 4z + 15
= 25 + 2(5) + 4(20) + 15
= 25 + 10 + 80 + 15
= 130
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Which point would be a solution to the system of linear inequalities shown below? {see image for inequalities}
(-10, -2)
(−5,2)
(10,7)
(10,−2)
Answer:
(10, -2)
Step-by-step explanation:
The inequalities are:
y < x - 7 (1)
y < (1/5)x - 2 (2)
To solve this problem, we have to solve both equations simultaneously and then find the value of x and y that makes the inequality true.
To solve the inequality, subtract inequality (2) from inequality (1) which gives:
0 < (4/5) x - 5
-(4/5)x < -5
Dividing both sides of the equation by -4/5 gives:
-(4/5)x / (-4/5) < -5/ (-4/5)
x > 6.25
Put x > 6.2 in inequality 1
y < 6.25 - 7
y < -0.75
The solution of the inequality is x > 6.25 and y < -0.75
From the list of option, the correct answer is (10, -2) since 10 > 6.25 and -2 < -0.75
Which figures have rotation symmetry?
Select each correct answer.
Answer:
the answers are the x and the star (or just B and C)
Step-by-step explanation:
How do I know? I just know...
JK
Rotational semetry is if one shape looks the same, even fliped in a sort of way.