how many total calories are available from a serving of crackers that contains 4 grams of fat, 21 grams of carbohydrate and 2 grams of protein?
Answers
The number of calories per gram for each macronutrient is:
- Fat: 9 calories per gram
- Carbohydrate: 4 calories per gram
- Protein: 4 calories per gram
Using these values, we can calculate the total number of calories in a serving of crackers as follows:
Total calories = (4 grams of fat x 9 calories per gram) + (21 grams of carbohydrate x 4 calories per gram) + (2 grams of protein x 4 calories per gram)
Total calories = 36 + 84 + 8
Total calories = 128
Therefore, there are 128 total calories available from a serving of crackers that contains 4 grams of fat, 21 grams of carbohydrate, and 2 grams of protein.
Related Questions
wins some money on the lottery. She uses 1/3 of her lottery win to buy a house
and she gives 1/8 of her lottery win to charity. Molly then shares the remainder of her
lottery win equally among her four children. Work out the fraction of Molly's lottery
win that each of her four children receives.
Answers
Answer:11/96
Step-by-step explanation:
1-(1/3)=2/3=14/24
(2/3)-(1/8)=(14/24)-(3/24)=11/24
11/24 divided into 4 again is 11/96
solve this problem show work.
-5/6 + 1/3
Answers
Answer:
-1/2
Step-by-step explanation:
steps are in picture.
If you are having confusion just ask .I'll give you answer.
HELP YOUR GIRL OUT PLEASE!!
Graham collects Classical art, and recently the value of his collection went up by $50,000 in a single day after several of his sculptures were selected for showing at a museum. A week later, however, the value of the collection went down by half when he discovered that he had mistakenly bought several forgeries. After this, Graham's collection was worth $525,000. How much was it worth originally?
Answers
The value of the collection originally was $1,000,000
What was the original value of the collection?
The original value of the collection is not known, hence, it is represented by X
The increase in value by $50,000 means that the value is X+$50,000
Now, when the error was discovered, it is now worth half of the value previously
The new value is (X+$50,000)*0.5
New value=(X+$50,000)*0.5
The new value at this point is $525,000
$525,000=(X+$50,000)*0.5
$525,000/0.5=X+$50,000
$1,050,000=X+$50,000
X=$1,050,000-$50,000
Find out more about change in value on:https://brainly.com/question/13097163
#SPJ1
Helen is opening her first savings account and is depositing $1100. Suppose she decides on a bank that
offers 4. 5% annual interest to be calculated at the end of each year.
a. Write a function to model the amount of money in Helen's savings account at the end of t years,
compounded k times during the year.
b.
Determine the amount of money in Helen's account at the end of 7 years if it is compounded.
Quarterly
1)
Weekly
III)
Semi-Annually
Answers
Helen deposited $1100 in a savings account with a 4.5% annual interest rate. After 7 years, if the account is compounded quarterly, weekly, or semi-annually, she would have $1614.53, $1617.92, or $1606.24, respectively.
a. To model the amount of money in Helen's savings account at the end of t years, compounded k times during the year, we can use the following formula:
A = P(1 + r/k)^(kt)
So the function to model the amount of money in Helen's savings account at the end of t years, compounded k times during the year is:
A = 1100(1 + 0.045/k)^(kt)
b. To determine the amount of money in Helen's account at the end of 7 years if it is compounded quarterly, weekly, and semi-annually, we can substitute the given values of k and t into the formula and simplify:
Compounded quarterly:
A = 1100(1 + 0.045/4)^(4*7)
A = 1100(1.01125)^28
A = 1614.53 (rounded to the nearest cent)
Compounded weekly:
A = 1100(1 + 0.045/52)^(52*7)
A = 1100(1.00086538)^364
A = 1617.92 (rounded to the nearest cent)
Compounded semi-annually:
A = 1100(1 + 0.045/2)^(2*7)
A = 1100(1.0225)^14
A = 1606.24 (rounded to the nearest cent)
Therefore, after 7 years, if Helen's account is compounded quarterly, she would have $1614.53; if it is compounded weekly, she would have $1617.92, and if it is compounded semi-annually, she would have $1606.24.
To know more about compound interest, visit:
brainly.com/question/14295570
#SPJ11
i dont get this problem can some one help? :')
Answers
Write an expression that represents the temperature (in degrees Fahrenheit) of the water after Raul added the ice cubes. Write the expression as the sum of two numbers.
Answers
As a result of answering the given question, we may state that This equation is the product of two numbers: T0 and -x * y * C.
What is equation?In mathematics, an equation is a statement stating the equality or two expressions. An equation consists of two sides split by an algebraic equation (=). For illustration, the argument "2x + 3 = 9" argues that the statement "2x + 3" is equal to the value "9". The goal of equation solving is to find the value or values of the variable(s) to make the equation true. Simple or complex equations, regular or nonlinear, and including one or more factors are all possible. For example, the equation "x2 + 2x - 3 = 0" has the variable x raised to the second power. Lines are used in many fields of mathematics, including algebra, calculus, or geometry.
Provided the temperature of the water before adding the ice cubes is known and given by T0 (in degrees Fahrenheit), and Raul added a certain number of ice cubes to the water, we can represent the temperature of the water after adding the ice cubes as:
T = T₀ + ΔT
ΔT = -x * y * C
where C is a constant representing water's heat capacity.
Putting it all together, the temperature of the water after adding the ice cubes can be expressed as:
T = T₀ - x * y * C
This expression is the product of two numbers: T0 and -x * y * C.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
Re-write the following system of equations in matrix format and solve them by using Cramer's rule. z+5x= 24 3x+2z+3y=7 -x+2y=-9
Answers
The solution of the given system of equations is (-3, 5/3, -4) by using Cramer's rule.
The given system of equations is given as,z + 5x = 243x + 2z + 3y = 7-x + 2y = -9
To solve the given system of equations by using the Cramer's rule, we have to first represent the given system in matrix format.
Matrix format: ⎡1 0 5⎤ ⎡x⎤ ⎡24⎤ ⎢0 3 2⎥ ⎢y⎥=⎢7⎥ ⎣-1 2 0⎦ ⎣z⎦ ⎣-9⎦
Using the formula for Cramer's rule, we know that,
x = Dx / D, y = Dy / D, z = Dz / D, whereD is the determinant of the coefficient matrix, Dx is the determinant of the matrix obtained by replacing the x column with the constant matrix, Dy is the determinant of the matrix obtained by replacing the y column with the constant matrix, and Dz is the determinant of the matrix obtained by replacing the z column with the constant matrix.
Calculation of D: D = | A | = ⎡1 0 5⎤ ⎡0 3 2⎥ ⎣-1 2 0⎦
Applying the Laplace expansion along the first column, D = 1 |⎡3 2⎤| - 0 |⎡-1 2⎤| + 5 |⎡-1 3⎤| |⎣2 0⎦| |⎣2 0⎦| |⎣2 0⎦| D = 6 Calculation of Dx: Dx = ⎡24 0 5⎤ ⎡3 2⎤ ⎢7 3 2⎥ ⎢-1 2⎥ ⎣-9 2 0⎦ ⎣2 0⎦
Applying the Laplace expansion along the first column, Dx = 24 |⎡3 2⎤| - 0 |⎡-1 2⎤| + 5 |⎡-9 2⎤| |⎣3 2⎦| |⎣3 2⎦| |⎣3 2⎦|
Dx = -18
Calculation of Dy: Dy = ⎡1 24 5⎤ ⎡0 2 2⎤ ⎢0 7 2⎥ ⎢-1 -1 0⎥ ⎣-1 -9 0⎦ ⎣2 0 0⎦
Applying the Laplace expansion along the second column, Dy = 0 |⎡1 5⎤| - 24 |⎡0 2⎤| + 5 |⎡0 2⎤| |⎣-1 0⎦| |⎣-1 0⎦| |⎣-1 0⎦|
Dy = 10
Calculation of Dz: Dz = ⎡1 0 24⎤ ⎡0 3 2⎥ ⎢0 3 7⎥ ⎢-1 2 -1⎥ ⎣-1 2 -9⎦ ⎣3 2 0⎦
Applying the Laplace expansion along the third column,
Dz = 24 |⎡3 2⎤| - 10 |⎡-1 2⎤| + 0 |⎡-1 3⎤| |⎣2 0⎦| |⎣2 0⎦| |⎣2 0⎦|
Dz = -24
Now we have the values of D, Dx, Dy and Dz.
Therefore, x = Dx / D, y = Dy / D, z = Dz / D,x = -18/6 = -3 y = 10/6 = 5/3 z = -24/6 = -4
Hence, the value of x, y, and z is (-3, 5/3, -4) respectively.
Therefore, the solution of the given system of equations is (-3, 5/3, -4) by using Cramer's rule.
Learn more about Cramer's rule
brainly.com/question/30682863
#SPJ11
When dropped, a super ball will bounce back to 80% of its peak height,continuing on in this way for each bounce.
For example, if a super ball is dropped from 20 feet, the first bounce will be
16 feet high. The second bounce will be 12.8 feet high.
Question: Write an expression for the height of the nth bounce.
Answers
An expression for the height of the nth bounce is 0.80X^N = Height.
EquationsSince when dropped, a super ball will bounce back to 80% of its peak height, continuing on in this way for each bounce, to determine an expression for the height of the nth bounce the following calculation must be performed:
X = Initial value80% = 0.80N = Number of times the ball bounces0.80X^N = HeightTherefore, an expression for the height of the nth bounce is 0.80X^N = Height.
Learn more about equations in https://brainly.com/question/2263981
Find the complex zeros of the following polynomial function. Write f in factored form. f(x) = x^$ + 5x +4 The complex zeros off are ...
Answers
f(x) = (x + (5 - 3i) / 2)(x + (5 + 3i) / 2) these are complex conjugate pairs, which means that the polynomial has real coefficients.
To find the complex zeros of the polynomial function f(x) = x^2 + 5x + 4, we can use the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
In this case, a = 1, b = 5, and c = 4, so:
x = (-5 ± sqrt(5^2 - 4(1)(4))) / 2(1)
x = (-5 ± sqrt(9)) / 2
x = (-5 ± 3) / 2
So the complex zeros of f(x) are:
x = (-5 + 3i) / 2 and x = (-5 - 3i) / 2
To write f in factored form, we can use the zeros we just found:
f(x) = (x - (-5 + 3i) / 2)(x - (-5 - 3i) / 2)
f(x) = (x + (5 - 3i) / 2)(x + (5 + 3i) / 2)
Note that these are complex conjugate pairs, which means that the polynomial has real coefficients.
Learn more about polynomial functions here: brainly.com/question/12976257
#SPJ11
A second function h is defined by h(x) = -3x + 8,
Select the correct phrase in the drop-down menus below to complete the sentence.
Answers
The second function is a linear function
The second function has a slope of -3 and a y-intercept of 8
How to interpret the function?The function is given as:
h(x) = -3x + 8
The above function is a linear function.
A linear function is represented as:
y = mx + b
Where:
m represents the slope and b represents the y-intercept
By comparison, we have:
m = -3 and b = 8
Hence, the second function has a slope of -3 and a y-intercept of 8
Read more about linear functions at:
https://brainly.com/question/14323743
in a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 56 and a standard deviation of 3. using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 53 and 59?
Answers
Answer:
i am very sad , because I had ordered some clothes and it's been 15 days and still it's not arrived
Step-by-step explanation:
Answer
Step-by-step explanation:
from least to greatest:
1) g (x)
2) f (x)
3) h (x)
A small regional carrier accepted 23 reservations for a particular flight with 19 seats. 18 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 50% chance, independently of each other.(Report answers accurate to 4 decimal places.)Find the probability that overbooking occurs. Find the probability that the flight has empty seats.
Answers
We remove the 18 regular customers and their seats from consideration.
Thus, we consider the 23 - 18 remaining customers = 5; and 19 - 18 = 1 seat.
Overbooking means 3 or more of the 5 remaining passengers; each has a 50% chance remaining.
Overbooking = 1 - P(X ≤ 2) = 0.5
Probability of empty seats = P(X ≤ 1) = 0.1875
Which pair of angles are vertical angles?
Answers
I hope this helps
IF UR AN EXPERT IN MATH CAN U PLSPLSPLSPLSPLSPLS ANSWER THIS QUESTION, I WILL GIVE BRAINLIEST 5 STARS AND A THANKS :C DUE TODAY!!
Answers
Answer:
x = 6
Step-by-step explanation:
√121 = 11
11×4 = 44
44 = 3x + 3x + x - 2 + x - 2
44 = 8x - 4
48 = 8x
6 = x
a good hypothesis should be: (select all that are correct, 3 correct) a. testable b. falsifiable c. negative d. positive
Answers
The Florida Department of Tourism compared the difference between the number of regular tourism jobs and the number of seasonal tourism jobs. The difference, as a percentage, is shown in the table below. The percent difference, y, in
tourism jobs x years since 2000 is modeled by the regression equation y = 0.2x + 3.7.
Answers
According to this model, the percent difference in tourism jobs in 2022 is expected to be 7.1%.
The equation is a linear regression equation of the form y = mx + b, where y is the dependent variable (percent difference in tourism jobs),
x is the independent variable (years since 2000), m is the slope of the line (0.2 in this case) and b is the y-intercept (3.7 in this case).
This equation can be used to predict the percent difference in tourism jobs for any given year since 2000. For example, if we want to know the percent difference in tourism jobs for the year 2022,
which is 22 years since 2000, we can substitute x=22 into the equation and calculate y as follows: y = 0.2(22) + 3.7 = 7.1%. Therefore, according to this model, the percent difference in tourism jobs in 2022 is expected to be 7.1%.
To know more about variable click here
brainly.com/question/2466865
#SPJ11
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 82° is changed to 94°, which of the following measures changes the most and what is the new value?
IQR 34°
Range 48°
Mean 81.4°
Median 84°
Answers
We can see that the measure that changes the most when the value of 82° is changed to 94° is the mean. The new mean temperature is 82.3°
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Before the change, the measures are:
IQR = 105 - 61 = 44°
Range = 105 - 57 = 48°
Mean = (58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57) / 12 = 81.4°
Median = the middle value, which is 84°
After the change, the list becomes:
58, 61, 71, 77, 91, 100, 105, 102, 95, 94, 66, 57
IQR = 102 - 61 = 41°
Range = 105 - 57 = 48°
Mean = (58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 94 + 66 + 57) / 12 = 82.3°
Median = the middle value, which is still 84°
Hence, we can see that the measure that changes the most when the value of 82° is changed to 94° is the mean. The new mean temperature is 82.3°
To learn more on Statistics click:
https://brainly.com/question/29093686
#SPJ1
Answer:
(d) Median 84°
Step-by-step explanation:
You want to know the effect on various statistics of changing the value 82 to 94 in the data ...
{57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105}
Measures of variationChanging a middle value in the list will have no effect on either the range or the IQR.
Measures of centerChanging a value from 82 to 94 adds 12 to the total of the 12 data values. This will increase the mean by 12/12 = 1 degrees to about 81.4.
The median value is currently the average of 77 and 82. Replacing 82 with 94, changes the order so that the median will be the average of 77 and 91. That is the median will increase by 9/2 = 4.5 degrees.
The measure that changes the most is the median. Its new value is 84°, choice D.
<95141404393>
GIVING BRAINLIEST FOR RIGHT ANSWER
Answers
Answer:
4
Step-by-step explanation:
Answer:
\(x\leq 6\)
Step-by-step explanation:
PLS HELPPPP!!!!! WILL GIVE BRAINLIST!!!!!!!!!!
Answers
Answer: C) y=-2+2
Step-by-step explanation: Rise over run says that the slope is -2 and the line hits the y axis at +2 so the equation would be y = -2 + 2.
(b) what is the probability that three randomly selected women from this university are all 67.5 inches or shorter? (give the answer to four decimal places.)
Answers
the question wants to know haw many women have an height over 66 inch, that is ¯ x + σ from the graph bottom you can see that they are the (13,6+ 2,1) = 15,7% of the whole number of women of the university. of course the probability that of one randomly selected women, one is 66 inches or shorter is 100-15,7 =84,,3 %. The probability that of two randomly selected women, one is 66 inches or shorter and the other is 66 inches or taller is given by the prodoct of the twoo indipendens probalities: p = p 1 × p 2 = 0 , 843 × 0 , 157 × 100 = 13 , 2 % finally the probability that three randomly selected women from this university are all 66 inches or shorter is given by p = p 3 1 = 0 , 843 3 × 100 = 60 %
Graph the inequality 2x + y > 4 and shade the correct solution set.
Answers
Answer:
see attached
Step-by-step explanation:
The boundary line has intercepts that are each found by setting the other variable to 0.
x-intercept = 4/2 = 2
y-intercept = 4/1 = 4
The line through these points, (2, 0) and (0, 4), will be dashed, because it is not included in the solution set. The values of x and y that are in the solution set are greater than those on the line, so shading will be to the upper right.
solve the equation 7+x=1/2(4x-2)
Answers
Answer:
x=8
Step-by-step explanation:
If angle 1 and angle 2 are vertical angles, and the m<1 = 10x - 9 and m<2 = 4x + 15. Find the value for x.
Answers
Answer:
x = 4
Step-by-step explanation:
Vertical angles are equal.
m∠1 = m∠2
10x - 9 = 4x + 15
Add 9 to both sides
10x = 4x + 15 + 9
10x = 4x + 24
Subtract 4x from both sides
10x -4x = 24
6x = 24
Divide both sides by 6
x = 24/6
x = 4
Pls help, 7th grade
Is my answer correct??
Answers
Answer:
yes
Step-by-step explanation:
question set 1: one instructor believes that students take more than 2 classes per quarter on average. he randomly interviewed a class of 16 students and found out the mean number of classes per quarter is 2.3 classes and standard deviation of 0.8. assume alpha is 0.01. (a) set up the hypothesis..
Answers
We would reject the null hypothesis in favor of the alternative hypothesis.
What is the null hypothesis in this scenario?The null hypothesis (H0) is that the average number of classes per quarter for students is 2 or less. The alternative hypothesis (Ha) is that the average number of classes per quarter for students is greater than 2. We can express this as:
H0: μ ≤ 2 (mean number of classes per quarter)
Ha: μ > 2
Where μ represents the population mean. This hypothesis is based on the instructor's belief that students take more than 2 classes on average.
The significance level (alpha) is given as 0.01, which means that if the p-value of the test is less than 0.01, we would reject the null hypothesis in favor of the alternative hypothesis.
Learn more about hypothesis
brainly.com/question/29106378
#SPJ11
Triangles ABC and DEF similar
Answers
Answer:
DE = 4 1/2
EF = 3 3/4
Step-by-step explanation:
AB/AC = DE/DF
6/4 = DE/3
cross-multiply:
4DE = 18
DE = 18/4 or 4 1/2
AB/BC = DE/EF
6/5 = 4.5/EF
cross-multiply:
6EF = 22.5
EF = 3.75
An estimated 3 out of every 25 men are left-handed.What percent of men are left-handed?
help me please
Answers
Answer:
12% of men are left handed.
Step-by-step explanation:
Percent of men who are left handed =
325×100=3×4=12 3 25 × 100 = 3 × 4 = .
12%
I hope this helps!
pls pls pls pls help me istg ill be your best friend and give you brianliest and all the points i can give and ill love you forvever pls pls pls pls
Answers
a. The chart did not maintain consistent scaling
b. The graph is not the appropriate graph type to display such data
c. The display had inaccurate or distorted visual representations
How do we explain?When the actual data may not support it, changing the scales on the axes might give the appearance of big changes or differences.
The visual effect of data can be exaggerated or minimized, for instance, by adopting a non-linear scale or deleting specific sections of the axis.
So it important to Choose appropriate graph type that best represents the data and the relationship you want to convey.
It also advisable to make use of clear and accurate labeling with descriptive titles and units of measurement.
Learn more about graphs at:
https://brainly.com/question/19040584
#SPJ1
The correlation coefficient between two quantitative variables is 0.8. What does the value of this correlation coefficient indicate about how well the model fits the data? A. No conclusion can be drawn regarding how well the model fits the data. B. The correlation coefficient is not within the correct range. C. The model is not a good fit. D. The model is a good fit.
Answers
Answer: D: the model is a good fit 100%
Step-by-step explanation:
The model is a good fit with the correlation coefficient between two quantitative variables being 0.8. The correct option is D.
What is the correlation coefficient?A correlation coefficient is a metric that expresses a correlation, or a statistical link between two variables, in numerical terms.
The correlation Coefficient is a metric used to evaluate the strength of the relationship between 2 variables, the correlation coefficient ranges from - 1 to + 1 with values closer to either ±1 depicting a stronger and better relationship.
A value of 1 means relationship exists and values close to one mean the relationship is good. With a correlation Coefficient value of 0.08, this value is very close to 1 and hence shows that the relationship is extremely good. Hence, the model is a good fit.
Hence, the model is a good fit with the correlation coefficient between two quantitative variables being 0.8. The correct option is D.
To know more about the correlation function follow
https://brainly.com/question/4219149
#SPJ5
list and describe two specialized alternatives not often used as a continuity strategy. quizlet
Answers
1. P-adic Numbers:
P-adic numbers are a specialized alternative not commonly used as a continuity strategy in mathematics. They are an extension of the real numbers that provide a different way of measuring and analyzing numbers. P-adic numbers are based on a different concept of distance, known as the p-adic metric. This metric assigns a measure of closeness or distance between numbers based on their divisibility by a prime number, p. P-adic numbers have unique properties and can be useful in number theory, algebraic geometry, and other branches of mathematics. However, they are not typically employed as a continuity strategy in practical applications.
2. Nonstandard Analysis:
Nonstandard analysis is a mathematical framework that provides an alternative approach to calculus and analysis. It introduces new types of numbers called "infinitesimals" and "infinite numbers" that lie between the standard real numbers but are infinitely smaller or larger than any real number. Nonstandard analysis allows for more rigorous treatment of infinitesimal quantities and provides a different perspective on limits, continuity, and differentiation. While nonstandard analysis has theoretical implications and can provide valuable insights in mathematical research, it is not commonly used as a continuity strategy in practical applications where standard analysis and calculus are more prevalent.
To learn more about alternatives in mathematics click here brainly.com/question/17199039 #SPJ11