approximately how many kilocalories are in a snack bar that contains 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein?
Answer:
Therefore, there are approximately 102 kilocalories in the snack bar.
Step-by-step explanation:
One gram of fat provides 9 kilocalories (kcal), while one gram of carbohydrate and protein provide 4 kcal each. So, to find the total number of kilocalories in the snack bar, we can use the following formula:
Total kcal = (grams of fat * 9) + (grams of carbohydrate * 4) + (grams of protein * 4)
Plugging in the values, we get:
Total kcal = (6 * 9) + (10 * 4) + (2 * 4)
Total kcal = 54 + 40 + 8
Total kcal = 102
Therefore, there are approximately 102 kilocalories in the snack bar.
The answer is approximately 120 kilocalories in a snack bar that contains 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein.
What are kilocalories? Kilocalories, also known as calories, are a unit of energy used to calculate the amount of energy in food. The number of kilocalories in food is calculated based on the number of grams of protein, carbohydrate, and fat it contains. Kilocalories are used by the body to fuel its processes and maintain its vital functions. The energy in food is released when it is digested, absorbed, and transported to the cells where it is used to produce ATP, the body's primary source of energy. ATP is used to power cellular processes such as metabolism, respiration, and movement. How many kilocalories are in a snack bar that contains 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein? To calculate the number of kilocalories in a snack bar that contains 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein, we need to know the number of kilocalories per gram of each macronutrient. Protein and carbohydrates each contain 4 kilocalories per gram, while fat contains 9 kilocalories per gram. To calculate the number of kilocalories in the snack bar, we multiply the number of grams of each macronutrient by the number of kilocalories per gram and then add them together. Here is the calculation:6 grams of fat x 9 kilocalories per gram of fat = 54 kilocalories10 grams of carbohydrate x 4 kilocalories per gram of carbohydrate = 40 kilocalories2 grams of protein x 4 kilocalories per gram of protein = 8 kilocalories. Total kilocalories = 54 + 40 + 8 = 102Therefore, a snack bar that contains 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein has approximately 102 kilocalories.
A snack bar with 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein has approximately 102 kilocalories. This is calculated as follows: (6 grams fat x 9 kcal/g) + (10 grams carbohydrate x 4 kcal/g) + (2 grams protein x 4 kcal/g).
Therefore, answer is 120 kilocalories.
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Can someone help me with this.
Writing equations from graph
Find the midpoint M of the line segment joining the points P = (-5, 7) and Q = (1, -3)
True or false: a correlation coefficient of -0.9 indicates a stronger linear relationship than a correlation coefficient of 0.5.
The given statement is True.
A correlation coefficient measures the strength and direction of the linear relationship between two variables. The range of possible values for a correlation coefficient is from -1 to +1, where -1 indicates a perfect negative linear relationship, 0 indicates no linear relationship, and +1 indicates a perfect positive linear relationship.
Therefore, a correlation coefficient of -0.9 indicates a strong negative linear relationship between the two variables, whereas a correlation coefficient of 0.5 indicates a moderate positive linear relationship between the two variables. Thus, the correlation coefficient of -0.9 indicates a stronger linear relationship than the correlation coefficient of 0.5.
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Find the base of a triangle with
height 4cm and area 24cm²
Answer:
Area = 1/2 *base * height
24 = 1/2 * b* 4
24 = 2b
b= 12cm
A pole is supported by two wires one on each side going in opposite directions the wires are 14ft and 17ft long if the wires are to be secured to the ground 22 feet from each other what angle must the 14 foot long wire make with the ground
The angle the 14 foot long wire must make with the gound is approximately 51 degrees.
What is a right angle triangle?A right angle triangle is a triangle that has one of its sides as 90 degrees. The situation forms two right angle triangle.
Using cosine law,
17² = 14² + 22² - 2 × 14 × 22 cos C
289 - 196 - 484 = -616 cos C
-391 = -616 cos C
divide both sides by -616
cos C = -391 / -616
cos C = 0.63474025974
C = cos⁻¹ 0.63474025974
C = 50.59929658
C = 51 degrees.
Therefore, the angle the 14 foot long wire must make with the gound is approximately 51 degrees.
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Answer:
50.6
Step-by-step explanation:
yes
PLS HELPPPPP!!!!!!!!!!!!!!!!!!!! 15 POINTS
The graph for the equation y = negative 2 x + 1 is shown below. On a coordinate plane, a line with negative slope goes through (0, 1) and (1, negative 1). If another equation is graphed so that the system has no solution, which equation could that be?
Options:
y = negative 2 (x minus one-half)
y = negative one-half (4 x + 2)
y = negative x + 1
y = negative one-half x + 2
Answer:
y = negative 2 (x minus one-half)
Step-by-step explanation:
The equation of a line is given as:
y = mx + c, where m is the slope and c is the intercept on the y axis.
The equation of a line going through (0, 1) and (1, - 1) is calculated using:
\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\ y-1=\frac{-1-1}{1-0}(x-0)\\ y-1=-2x\\y=-2x+1\)
The solution of two lines is at their point of intersection. The equation of the line that would not have any solution with y = -2x + 1 would be a line that is parallel to y = -2x + 1. Since the two lines would be parallel to each other, their would be no intersection and therefore no solution.
Two lines are said to be parallel to each other if they have the same slope. The slope of y = -2x + 1 is gotten by comparing with y = mx + c, therefore the slope m = -2. From the options the only line with a slope m = -2 is y = -2(x -1/2). Therefore y = -2(x -1/2) is parallel to y = -2x + 1 and would have no solution
Answer:
b
Step-by-step explanation:
i did test
what is the gcf of 14xy^2 and 21y^3
Answer:
7y^2
Step-by-step explanation:
Write down the name of these shapes.
Answer:
They are all quadrilaterals. To be specific, the first one is a parallelogram, the second one is a rectangle, and the 3rd one is just a quadrilateral!
Step-by-step explanation:
two foods contain proteins, carbohydrates, and fats. food a costs $1 per pound and contains 30% protein, 10% fat, and 50% carbohydrates. food b costs $1.50 per pound and contains 20% protein, 4% fat, and 75% carbohydrates. what is a combination of x pounds of food a and y pounds of food b that provides at least 1 1 2 pounds of protein, 3 3 4 pounds of carbohydrates, and 1 5 pound of fat at the lowest cost? (x, y)
A combination of x pounds of food a and y pounds of food b that provides at least 1 1 2 pounds of protein, 3 3 4 pounds of carbohydrates, and 1 5 pound of fat lowest cost is at (x,y) is (3,2).
Define function.A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Given,
Function:
C = x + 1.5y
Subjected to:
30x + 20y ≥ 13/10 ×100 ≥ 130
10x + 4y ≥ 1/5 × 100 ≥ 20
50x + 75y ≥ 3 × 100 ≥ 300
Feasible region:
(0, 13/2), (3,2) (6,0)
C = x + 1.5y
(0, 13/2) ⇒ C = 0+ (1.5)(13/2)
(0.13/2) ⇒ C = 9.75
(3,2) ⇒ C = 3+ (1.5)(2)
(3,2) ⇒ C = 6
(6,0) ⇒ C = 6 + 0
(6,0)⇒ C = 6
A combination of x pounds of food a and y pounds of food b that provides at least 1 1 2 pounds of protein, 3 3 4 pounds of carbohydrates, and 1 5 pound of fat lowest cost is at (x,y) is (3,2).
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Write a compound inequality that is represented by the graph.
A compound inequality using the variable x is
Answer:
-3 < x ≤ 2Step-by-step explanation:
The graph covers the interval
(- 3, 2]Inequality to reflect this
-3 < x ≤ 2Answer:
-3 < x ≤ 2
Step-by-step explanation:
If the government imposes a minimum wage of $12, how many workers will be unemployed? 4,000 10,000 2,000 0
If the government was to impose a minimum wage of $12 then the number of unemployed workers would be 4,000.
How many workers would be unemployed?If the government was to impose a minimum wage of $12 then a situation would arise where the demand for workers is 8,000 yet the supply for workers is 12,000.
This would lead to an unemployment rate of:
= 12,000 - 8,000
= 4,000 people
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Please help a girl out I'm so confused
Answer:28
Step-by-step explanation: 7x4 Equals 28 basketballs
X = 7
Y = 6
Y = 24
X = ?
24/6=4
7x4 = 28
Your answer is 28
The related graph of a quadratic equation is ___ shown below. Use the graph to determine the solutions of the equation.
Hello there. To solve this question, we have to determine the solutions to the quadratic equation shown in the graph.
For this, we simply have to find, by inspection, the points for which it is equal to zero, that is, when it crosses the x-axis:
It is easy to see that is passes through the points x = -3 and x = 2, since the coordinate plane was divided into a lot of squares with side length equal to 1.
Hence we say that the answer to this question is:
\(-3,2\)This is the answer and it is contained in the third oval.
find the values of a and b such that 18 13 f(x) dx − 14 13 f(x) dx = b a f(x) dx.
The values of a and b that satisfy the equation are determined by the values of A, B, and C. Without the specific values of these integrals or further information about the function f(x), it is not possible to find the values of a and b.
To find the values of a and b in the equation:
∫(18 to 13) f(x) dx − ∫(14 to 13) f(x) dx = b ∫(a to 13) f(x) dx
We can simplify the equation and equate the integrals:
∫(18 to 13) f(x) dx - ∫(14 to 13) f(x) dx = b ∫(a to 13) f(x) dx
Performing the integrations, we get:
[∫(18 to 13) f(x) dx] - [∫(14 to 13) f(x) dx] = b [∫(a to 13) f(x) dx]
Now, let's evaluate each integral:
∫(18 to 13) f(x) dx is the integral of f(x) from x = 13 to x = 18.
∫(14 to 13) f(x) dx is the integral of f(x) from x = 13 to x = 14.
∫(a to 13) f(x) dx is the integral of f(x) from x = 13 to x = a.
Let's say the integral of f(x) from x = 13 to x = 18 is A.
Let's say the integral of f(x) from x = 13 to x = 14 is B.
Let's say the integral of f(x) from x = 13 to x = a is C.
Now, substituting these values into the equation, we have:
A - B = bC
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The values of a and b that satisfy the equation are a = 14 and b = 1.
To find the values of a and b such that the equation
∫(18 to 13) f(x) dx - ∫(14 to 13) f(x) dx = b∫(a to 13) f(x) dx
we can simplify the equation and match the integrals on both sides.
The left side of the equation can be simplified as follows:
∫(18 to 13) f(x) dx - ∫(14 to 13) f(x) dx
= ∫(18 to 14) f(x) dx
Now, we can compare this to the right side of the equation:
b∫(a to 13) f(x) dx
To make both sides of the equation match, we need to set:
a = 14 and b = 1
With these values, the equation becomes:
∫(18 to 14) f(x) dx = ∫(14 to 13) f(x) dx
Therefore, the values of a and b that satisfy the equation are a = 14 and b = 1.
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During 'one game, Mary's coach measures the time she takes while running around the bases. Mary takes a total of 20 s to run the total distance of 240ft. If a function compares the distance she travels to the time she spends running, what is the range of this function?
The range would include all distances that Mary can possibly travel in 20 seconds,
The range of a function represents the set of all possible output values that the function can produce. In this case, the function compares the distance Mary travels to the time she spends running.
Mary takes a total of 20 seconds to run the distance of 240 feet. Therefore, the function's range is the set of all possible distances Mary can travel within that time frame.
Since Mary's time is fixed at 20 seconds, the range of the function would be determined by the distances she can cover in that time.
Mary's speed can vary, so the distance she can cover depends on her running pace. However, since we don't have specific information about her speed or running patterns, we can't determine the exact range of the function in terms of specific distances.
In general, the range would include all distances that Mary can possibly travel in 20 seconds, which could range from 0 (if she stands still) to a maximum distance that depends on her speed.
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What are the answers please
Answer:
Can you try doing it by yourself? It seems pretty easy to me. :D
Step-by-step explanation:
Help pleaseeeeeeeeeeee
Answer:
C. 72
Step-by-step explanation:
your are given the adjacent length of 2.4 cm and the hypotenuse of 7.8cm
so we know cos = adjacent/ hypotenuse
so to find the angle of cos you use the inverse of cos^-1(2.4/7.8)
after typing into calculator you should get about 72
Answer:
C
Step-by-step explanation:
cos(0)= Adjacent/Hypotenuse
cos(0)= n/p
cos(0)=2.4/7.8
cos(0)=4/13
(0)=cos‐¹(4/13)
(0)=72.07978686
(0)=72°
angle (0)= 72°
4 What is the solution to the inequality -3x-42>3 ?
\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)
What is the solution to the inequality -3x-42>3 ?\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
\(- 3 x - 42 \gt 3\)
Add 42 to both sides.
\(-3x>3+42 \)
Add 3 and 42 to get 45.
\(-3x>45 \)
Divide both sides by -3. As -3 is <0, the inequality direction has changed.
\(x<\frac{45}{-3} \\ \)
Divide 45 by -3 to get -15.
\( \huge \boxed{ \boxed{ \bf \: x<-15 }}\)
One of the walls of Georgia’s room has a radiator spanning the entire length, and she painted a mural covering the portion of that wall above the radiator. Her room has the following specification: ● Georgia’s room is a rectangular prism with a volume of 1,296 cubic feet. ● The floor of Georgia’s room is a square with 12-foot sides. ● The radiator is one-third of the height of the room. Based on the information above, determine the area, in square feet, covered by Georgia’s mural.
The area covered by Georgia's mural is 144 square feet.
To determine the area, we need to find the height of the room first. Since the volume of the room is given as 1,296 cubic feet and the floor is a square with 12-foot sides, we can use the formula for the volume of a rectangular prism (Volume = length x width x height).
Substituting the values, we have 1,296 = 12 x 12 x height. Solving for height, we find that the height of the room is 9 feet.
Since the radiator is one-third of the height of the room, the height of the radiator is 9/3 = 3 feet.
The portion of the wall above the radiator will have a height of 9 - 3 = 6 feet.
Since the floor is a square with 12-foot sides, the area of the portion covered by the mural is 12 x 6 = 72 square feet.
However, the mural spans the entire length of the wall, so the total area covered by Georgia's mural is 72 x 2 = 144 square feet.
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HELPPPPP MEEEEE find m
Answer:
b=180°-69° (adj angles on a str line)
=111°
In deterministic logic, the statement "A implies B" is equivalent to the statement "not B implies not A," known as the contrapositive. In probability we might interpret "A implees B" as P(B|A) = 1. (a) Let A and B be any events in a probability space. Show that if P(B|A) 1 then P(BC|AC) = 1. (b) Show that the result in (a) is not true if we replace with ~. I.e., create an example where P(B|A) is very close to 1 but P(AC|BC) is very close to 0. Hint: What happens if A and B are independent?
The result in (a) is not true if we replace "=" with "~."
In deterministic logic, the statement "A implies B" is equivalent to the statement "not B implies not A," known as the contrapositive. In probability, we might interpret "A implies B" as P(B|A) = 1.
Let A and B be any events in a probability space. If P(B|A) = 1, then P(AC|BC) = 1. This is because if P(B|A) = 1, then P(AC|BC) = P(AC∩BC)/P(BC) = P(AC)/P(BC) = 1.
If we replace the "=" with "~" in the statement "P(B|A) = 1," then the result in (a) is not true. For example, let A and B be independent events. Then P(B|A) = P(B) and P(AC|BC) = P(AC). If P(B) is very close to 1, then P(AC) can be very close to 0, even though P(B|A) is very close to 1. This shows that the result in (a) is not true if we replace "=" with "~."
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expand the following 4 (x - 1)
Answer:
4x - 4
Step-by-step explanation:
4 × x = 4x
4 × -1 = -4
4x - 4
Answer:
4x-4
Step-by-step explanation:
4(x-1) 4*x-1*44x-4find the center and radius of the circle represented by the equation below x^2+y^2+12x+4y+15=0
The equation x^2 + y^2 + 12x + 4y + 15 = 0 represents a circle with center (-6, -2) and radius 5.
To find the center and radius of the circle represented by the equation x^2 + y^2 + 12x + 4y + 15 = 0, we need to complete the square for both x and y terms. First, we will focus on the x terms:
x^2 + 12x = (x + 6)^2 - 36
Next, we will focus on the y terms:
y^2 + 4y = (y + 2)^2 - 4
Substituting these into the original equation, we get:
(x + 6)^2 - 36 + (y + 2)^2 - 4 + 15 = 0
Simplifying, we get:
(x + 6)^2 + (y + 2)^2 = 25
Comparing this to the standard form of the equation of a circle, (x - h)^2 + (y - k)^2 = r^2, we can see that the center of the circle is (-6, -2) and the radius is √25 = 5..
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Half full of water by volume. How deep is the water in the cone if the height is 16 cm and base is 12 cm
Answer:
8∛4 ≈ 12.70 . . . . cm deep
Step-by-step explanation:
The ratio of volumes of similar cones is the cube of the ratio of their linear dimensions. That means the height of a cone with 1/2 the volume will be ...
∛(1/2)
times the height of the full cone.
The water will be ...
(16 cm)(∛(1/2)) = 8∛4 ≈ 12.70 . . . . cm deep
Social scientists gather data from samples instead of populations because
a. samples are much larger and more complete.
b. samples are more trustworthy.
c. populations are often too large to test.
d. samples are more meaningful and interesting
Social scientists gather data from samples instead of populations because c. populations are often too large to test.
Social scientists often cannot test an entire population due to its size, so they gather data from a smaller group or sample that is representative of the larger population. This allows them to make inferences about the larger population based on the data collected from the sample. The sample size must be large enough to accurately represent the population, but it is not necessarily larger or more complete than the population itself. Trustworthiness, meaning, and interest are subjective and do not necessarily determine why social scientists choose to gather data from samples.
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if point a is at (6,2 on coordinate plane and point B is located at (-4,2) what is the distance between the two points
explain please
Answer: 10
Step-by-step explanation:
Since both points have the same y value, we just need to find the change of x, which would be the distance of the points.
Reading the points from left to right on an imaginary graph, point B would come first as it has the lesser x value.
To find the change of x subtract the x value of the second point from the first, so...
6 - (-4) = 10
The change of x = 10
The distance between the points is 10
Hope this helps!
What is the difference between quantitative data and qualitative data? in what situations could the number 42 be considered qualitative data? what are the characteristics of a relational database?
The number 42 could be qualitative if it is a designation instead of a measurement, count, or calculation.
Qualitative data describes qualities or characteristics. It is collected using questionnaires, interviews, or observation, and frequently appears in narrative form. For example, it could be notes taken during a focus group on the quality of the food at Cafe Mac, or responses from an open-ended questionnaire. Qualitative data may be difficult to precisely measure and analyze. The data may be in the form of descriptive words that can be examined for patterns or meaning, sometimes through the use of coding. Coding allows the researcher to categorize qualitative data to identify themes that correspond with the research questions and to perform quantitative analysis.
Quantitative data is numbers-based, countable, or measurable. Quantitative data is numeric, the result of a measurement, count, or some other mathematical calculation. Qualitative data is descriptive. The number 42 could be qualitative if it is a designation instead of a measurement, count, or calculation.
The seven characteristics that define relational database are:
Accuracy and Precision
Legitimacy and Validity
Reliability and Consistency
Timeliness and Relevance
Completeness and Comprehensiveness
Availability and Accessibility
Granularity and Uniqueness
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13 Jitesh made a square using 8 toothpicks of the same length as shown below. Arun made a bigger square. He also used some toothpicks of the same length. Which of these could be the number of toothpicks Arun used to make his square? A. 14 B. 16- D. 22
The number of toothpicks Arun could have used to make his bigger square than Jitesh's 8-toothpick square was B. 16.
How is the number of toothpicks determined?We are told that Jitesh made a square using 8 toothpicks.
The toothpicks have the same length as Arun's. We also know that Arun made a bigger square than Jitesh.
The same number of toothpicks must be on the four sides to make a square. Otherwise, it cannot form a perfect square.
Thus, it is unlikely that 14 toothpicks can make a square because 14 is not evenly divisible by 4, just like 22. However, 16 is evenly divisible by 4 and forms a perfect square of 4, giving each side an equal size.
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a standard die is rolled until a six rolls. each time a six does not roll, a fair coin is tossed, and a running tally of the number of heads minus the number of tails is kept. (for example, if the die rolls are 5, 2, 1, 6, and the coin tosses are h, h, t, then the running tally is 1, 2, 1.) what is the probability that the absolute value of the running tally never equals 3?
The probability that the absolute value of the running tally never equals 3 is approximately 0.718, or 71.8%. In this scenario, the running tally can only change by 1 each time the coin is tossed, either increasing or decreasing. It starts at 0, and we need to calculate the probability that it never reaches an absolute value of 3.
To find the probability, we can break down the problem into smaller cases. First, we consider the probability of reaching an absolute value of 1. This happens when there is either 1 head and no tails or 1 tail and no heads. The probability of this occurring is 1/2.
Next, we calculate the probability of reaching an absolute value of 2. This occurs in two ways: either by having 2 heads and no tails or 2 tails and no heads. Each of these possibilities has a probability of (1/2)² = 1/4.
Since the running tally can only increase or decrease by 1, the probability of never reaching an absolute value of 3 can be calculated by multiplying the probabilities of not reaching an absolute value of 1 or 2. Thus, the probability is (1/2) * (1/4) = 1/8.
However, this calculation only considers the case of the first coin toss. We need to account for the fact that the coin can be tossed multiple times. To do this, we can use a geometric series with a success probability of 1/8. The probability of never reaching an absolute value of 3 is given by 1 - (1/8) - (1/8)² - (1/8)³ - ... = 1 - 1/7 = 6/7 ≈ 0.857. However, we need to subtract the probability of reaching an absolute value of 2 in the first coin toss, so the final probability is approximately 0.857 - 1/8 ≈ 0.718, or 71.8%.
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