Applying the ratio of 1-ounce strawberries to 3.2-ounces strawberries, the grams of fiber Marisol uses in the strawberries is 1.312 grams.
What is the ratio?The ratio is the numerical relationship that two values share.
Ratios show proportional values to explain how much one variable is contained in another.
Ratios are represented using the ratio sign (:) or using percentages, decimals, or fractions.
Nutritional Facts
Strawberries (1 ounce)
Calories 6.1 grams
Fat 0.1 gram
Carbohydrates 1.25 grams
Fiber 0.41 grams
Protein 0.2 grams
Fiber = 1.312 grams (0.41 x 3.2)
Thus, Marisol needs 1.312 grams of fiber, given the ratio requirements.
Learn more about ratios at brainly.com/question/12024093
#SPJ1
The equation Y=ax^2+bx+c goes through the coordinates (-2, 23), (-1, 9), and (4, 29). What are the values of a, b, and c?
The value of a, b and c in Y=ax²+bx+c are 3, -5 and 1 respectively.
As it is provided that the quadratic equation Y=ax²+bx+c goes through the coordinates (-2, 23), (-1, 9), and (4, 29).
One of the method of solving quadratic is by putting the points,
So, it means that these coordinates will satisfy the equation,
So, putting the coordinates in the equation one by one,
First putting (-2,23)
We get,
(23) = a(-2)²+b(-2)+c
23 = 4a-2b+c
Now, putting, (-1,9)
We get,
(9) = a(-1)²+b(-1)+c
9 = a-b+c
From here, we get,
c = 9-a+b.
Now, putting (4,29)
We get,
(29) = a(4)²+b(4)+c
29 = 16a+4b+c
Now, putting c = 9-a+b, in 29 = 16a+4b+c and 23 = 4a-2b+c,
we get,
29 = 16a+4b+9-a+b
20 = 15a + 5b
dividing by 5,
4 = 3a+b ….. Equation (1)
Now,
c = 9-a+b in 23 = 4a-2b+c,
23 = 4a-2b+9-a+b
14 = 3a-b ….. Equation (2)
Adding equation 1 and 2,
18 = 6a
a = 3,
Putting a = 3 in equation 1,
4 = 3(3)+b
b = -5
We know,
c = 9-a+b
c = 9-3+(-5)
c = 1
So, a = 3, b = -5 and c = 1.
To know more about solving quadratic equations, visit,
https://brainly.com/question/1214333
#SPJ1
Simon's bank account has a balance of -$28.16. He goes to the bank and deposits $40.25. How much money is in his account after the deposit?
What operation is needed to solve this problem? Explain how you know and then solve.
The money in his bank account after the deposit is $12.09.
The balance amount in Simon's bank account is -$28.16.We can clearly see that the balance amount is a negative number.Simon goes to the bank and deposits $40.25.He deposits the money in the bank. It means we need to add the amount deposited by him to the existing balance amount in his bank account.We need to perform an addition operation to solve the problem.Let the amount of money in his account after the deposit be "x".x is equal to the sum of the amount before the deposit and the money deposited.x = -$28.16 + $40.25x = $12.09To learn more about addition, visit :
https://brainly.com/question/20658817
#SPJ1
Rakesha claims that y = 5x - 7 is the linear function for the sequence that is represented by the explicit formula an = -2 + 5(n - 1). James doesn't understand how this can be the case.
a) Help James by rewriting the explicit formula of the given sequence in the form y = mx+ b. Provide a rationale for each step.
Rakesha claims y =5x -7 is linear function for the sequence and represented by explicit formula is represented by aₙ = -2 +5(n-1).
As given in the question,
Linear function for the sequence represented by ;
y = 5x -7
Compare it with y = mx + b
m = 5
b= -7
For x = 1
First term (a₁)
y = 5(1) -7
= -2
For x =2
second term (a₂)
y = 5(2) -7
=3
Common difference = second term - first term
= 3 - (-2)
= 5
nth term of the sequence :
aₙ = a₁ + (n-1)d
= -2 + (n-1)5
= -2 +5(n-1) represent the explicit formula.
Therefore, Rakesha claims y =5x -7 is linear function for the sequence and represented by explicit formula is represented by
aₙ = -2 +5(n-1).
Learn more about linear function here
brainly.com/question/21107621
#SPJ1
Find the y-intercept of the following equation. Simplify your answer.
3x + 2y = 8
The y-intercept of the equation is 4.
The equation of a line is
y = mx + c
x, y is the point on the line
m = slope of a line
c = y-intercept
As the equation of a line is 3x + 2y = 8.
We have to find the y-intercept of the equation.
3x + 2y = 8
2y = -3x + 8
y = -3/2x + 4
y = mx + c
So from this, we get the y-intercept
c = 4
Therefore the y-intercept of the equation is 4.
To know more about the equation of a line refer to the link given below:
https://brainly.com/question/18831322
#SPJ1
The width of rectangle garden is 7cm shorter than its length. If the perimeter of the garden is 210. Find the length of the side
The length of the rectangle is 49 cm.
What is perimeter?
Perimeter is the total distance covered by its boundaries or the sides. Since there are four sides of a rectangle, thus, the perimeter of the rectangle will be the sum of all four sides.
P = sum of all its four sides
P = a + b + a + b (Opposite sides of rectangle are equal)
P = 2(a + b)
where a is the length and b is the breadth.
According to question, the breadth is 7 cm shorter than length.
Let x be the length and x - 7 be the breadth.
perimeter = 210 cm
2(x+x-7) = 210
2x - 7 = 210/2
2x - 7 = 105
2x = 105 - 7
2x = 98
x = 49
To know more about perimeter, visit:
https://brainly.com/question/3555036
#SPJ9
Which situation best represents the equation 10.25h+6.50=11h+4
The situation that best represents the given equation is that there are two limo companies that charge based on the number of people, "h", that they carry. Limo A charges $6.5 plus $10.25 per person. Limo B charges $4 plus $11 per person. The equation equates the charges for the two companies to carry a "h" number of people.
An equation is given to us.The equation is linear in one variable.The equation is given below :10.25h + 6.50 = 11h + 4We need to find a situation that best fits the above equation.We can see that on the left hand side of the equation, 6.5 is the fixed cost of something and 10.25 is the cost per unit quantity of "h". Similarly, on the right hand side of the equation, 4 is the fixed cost of something and 11 is the cost per unit quantity of "h".The equation represents a situation where the two costs are equal in magnitude and we are able to find a suitable value for the quantity "h".For example, we can see the situation given below.There are two limo companies that charge based on the number of people, "h", that they carry. Limo A charges $6.5 plus $10.25 per person. Limo B charges $4 plus $11 per person. How many people can ride to make the two companies charge the same amount?To learn more about equations, visit :
https://brainly.com/question/10413253
#SPJ1
use the level curves to predict the location of the critical points of f and determine whether f has a saddle point, local maximum, or local minimum at each point. then use the second derivatives test to confirm your predictions. (if an answer does not exist, enter dne.)
(0,0) is a saddle point and (1,1) is a local minimum.
The point as in domain of something like the functions with the lowest value is known as the local minimum. You can calculate the local minimum by determining the function's derivative.A saddle point of minimax point is a location on the graph's surface where the slopes of all orthogonal derivatives are zero (a crucial point), but which isn't the function's local extremum.From the contour map, the level curves intersect at (0,0) . Hence (0,0) is a saddle point.
and the center of level curve 3.2 (1,1) is a local minimum.
Hence (0,0) is a saddle point and (1,1) is a local minimum.
Learn more about saddle point here:
https://brainly.com/question/28853367
#SPJ4
Second chance! Review your workings and see if you can correct your mistake.
Convert the following decimals to fractions in their simplest form:
a) 0.77
b) 0.7
c) 0.07
Answer:
a)77/100 b)7/10 c)7/100
Step-by-step explanation:
m/2=6x+6
54
Qu
2
X=?
How to solve(pls show steps)
Answer:
dancing
Step-by-step explanation:
d
a
n
c
I
n
g
don't
cry
ok
Determine the leading coefficient c of the polynomial given that the graph goes through the point (5,100)
f(x) = c(x - 1)(x + 1)(x-2)
The polynomial that passes through the point (5,100) has the leading coefficient or c equal to 1.38.
What do a polynomial's leading term and leading coefficient mean?The term with the highest power of x is the leading term in a polynomial. As an illustration, the leading term in 7+x3x2 is 3x2. A polynomial's leading coefficient is the coefficient of the leading term. The leading coefficient in the aforementioned illustration is 3.We need to determine the leading coefficient c of the polynomial which passes through the point (5,100).
Given polynomial: f(x) = c(x - 1)(x + 1)(x-2)
Substituting f(x) = 100 and x = 5,
100 = c(4)(6)(3)
100 = c72
c= 1.38
Therefore, the leading coefficient c of the polynomial given that the graph goes through the point (5,100) is 1.38.
Learn more about polynomial here:
https://brainly.com/question/2833285
#SPJ13
If the car continued at the same acceleration (meaning the slope of the line does not change), how fast
would it be going in 15 seconds?
log_3 (3) + log_3(x)
=log_3(36)
Answer:log_3 (3) + log_3(x)
=log_3(36)
Step-by-step explanation:log_3 (3) + log_3(x)
=log_3(36)log_3 (3) + log_3(x)
=log_3(36)
Answer:
For two functions to be equal, the arguments of each must be equal.
x=12
Step-by-step explanation:
Random sampling complicates the analysis of cross-sectional data.
a. True
b. False
Random sampling do not complicates the analysis of cross-sectional data
Sampling is just an action of taking samples or subsets of a given data set for analysis. This means that when sampling is done, the next stage for the samples, are for them to be analyzed.
There different methods of sampling including random sampling. In this type, each member of the samples have equally probability of being chosen.
A cross-sectional data analysis is the analysis of samples or subsets at a fixed point in time. A systematic random sampling method is used in the analysis of cross-sectional data. And when this used, then each combinations of individuals samples in a data set has an equal chance of being selected.
Hence, the statements that says random sampling complicates the analysis of cross-sectional data is False.
Learn more about random sampling here:
https://brainly.com/question/24466382
#SPJ4
so my equation is y=1/3 times 2 to the power of x we have to make a table and graph it.
Solution
We are given
[tex]y=\frac{1}{3}\times2^x[/tex]We want to find make table and graph
(a). To make table, We take
[tex]-3\leq x\leq3[/tex][tex]\begin{gathered} \text{when x = -3} \\ y=\frac{1}{3}(2^{-3})=\frac{1}{24}=0.042 \\ \text{when x = -2} \\ y=\frac{1}{3}(2^{-2})=\frac{1}{12}=0.083 \end{gathered}[/tex]Similarly, we find the values for the remaining values of x
[tex]\begin{gathered} \text{when x = }-1,\text{ y = 0.167} \\ \text{when x = 0, y =}\frac{1}{3} \\ \text{when x= 1, y = }\frac{2}{3} \\ \text{when x = 2, y =}\frac{4}{3} \\ \text{when x = 3, y=}\frac{8}{3} \end{gathered}[/tex]To draw the graph, we have
When solving an equation, the goal is to ____________________ the variable.
The answer for the missing piece is to 'find' the variable.
help if your smartest person in the world
Answer:
First one, the answer could be 1, 2, or 3, because the fraction you made is less than one. Second one, the answer could be any number above 4 (5, 6, 7, and so forth), because the fraction you made is greater than one.
Shawn bought a 10-pound turkey to serve for Thanksgiving. He plans to serve eachadult 2/5 of a pound.Write an equation to represent the number of adult servings, x, Shawn canget from the 10-pound turkey. Use your equation to determine the number of adultservings.
Since each serving contains 2/5 of a pound, then, the total weight of x servings would be:
[tex]\frac{2}{5}x[/tex]If the total weight of x servings should be equal to the weight of the turkey, then:
[tex]\frac{2}{5}x=10[/tex]Multiply both sides of the equation by 5/2:
[tex]\frac{5}{2}\cdot\frac{2}{5}x=\frac{5}{2}\cdot10[/tex]Simplify the expressions on both sides of the equation:
[tex]x=25[/tex]Therefore, the number of adult servings from a 10 pound turkey, will be 25.
Help me please i don't know this
The rates for this problem are given as follows:
1) Between 0 and 2 seconds: 1 meter per second.
2) Between 2 and 4 seconds: 0.5 meters per second.
3) Between 4 and 7 seconds: -1 meter per second.
4) Between 7 and 9 seconds: 0 meters per second.
The rates are not constant.
What is the average rate of change of a function?The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given according to the following rule:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
For the first rate, between 0 and 2 seconds, we have that:
f(0) = 5.f(2) = 7.Hence:
r = (7 - 5)/(2 - 0) = 2/2 = 1 meter per second.
For the second rate, between 2 and 4 seconds, we have that:
f(2) = 7.f(4) = 8.Hence:
r = (8 - 7)/(4 - 2) = 1/2 = 0.5 meters per second.
This rate is already different than the first rate, hence the rates are not constant.
For the third rate, between 4 and 7 seconds, we have that:
f(4) = 8.f(7) = 5.Hence:
r = (5 - 8)/(7 - 4) = -3/3 = -1 meter per second.
For the fourth rate, between 7 and 9 seconds, we have that:
f(7) = 5.f(9) = 5.Hence:
r = (5 - 5)/(9 - 7) = 0/2 = 0 meters per second.
More can be learned about the average rate of change at https://brainly.com/question/13930624
#SPJ1
2/15 × 7/12 Give your answer as a fraction in its simplest form.
The simplified fraction is [tex]\frac{7}{90}[/tex]
How are the fractions multiplied?
[tex]\frac{2}{15} *\frac{7}{12} \\\\=\frac{7}{15*6} \\\\=\frac{7}{90}[/tex]
What is product of fractions?
It is finding the sum of a repeating fraction or group when you multiply a fraction by a whole number.It indicates that you are seeking for a portion of a portion when you multiply two fractions. Multiplying the two numerators is the initial stage in the process of multiplying fractions. Multiplying the two denominators together is the second step. Completing the new fraction is by simplifying them. Prior to multiplying, the fractions can be further streamlined by factoring out common factors from the numerator and denominator.To learn more about product of fractions, refer:
https://brainly.com/question/6109670
#SPJ9
7/90 is the simple fraction.
How fractions are multiplied?
2/15*7/12
=7/15*6
=7/90
What is a fractional product?When a fraction and a whole number are multiplied, the result is the sum of a repeating fraction or group.When you multiply two fractions, that means you're looking for a piece of a portion.Multiplying the two numerators of a fraction is the first step in multiplying fractions.The second step entails multiplying the two denominators collectively.Simplifying them allows us to finish the new fraction.The fractions can be made more simpler before being multiplied by removing common components from the numerator and denominator.
To learn more about fractional product refer to:
https://brainly.com/question/6109670
#SPJ9
How does this graph change between point D and point G?
5-G
554
32
3-
2
1
-5-4-3-2-1
-2-
3
-4
-5
1 2 3 4 5 x
The graph increases.
O The graph decreases.
The graph incro
Answer:
a
Step-by-step explanation:
hope that helps
elba constructs a cube made of glass panels. Each panel has a side length of 3··4foot. What is the total surface area, in square feet, of the cube? Show your work.
The surface area of an object is the sum of the areas of all of its faces, or the exterior surfaces of its three dimensions.
Surface area=6(3.4)^2=69.36 square feet
What is surface area?
A solid object's surface area is a measurement of the overall space that the object's surface takes up.
The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
A 3D object's surface area is the entire area that all of its faces cover. For instance, if we need to calculate how much paint is required to paint a cube, we can use the cube's surface area. determine how much paint is needed to paint it. It is consistently expressed in square units.
As a refresher, the surface area of an object is the sum of the areas of all of its faces, or the exterior surfaces of its three dimensions.
Surface area=6(3.4)^2=69.36 square feet
To learn more about surface area refer to:
https://brainly.com/question/20771646
#SPJ1
At its highest point, the elevation of a county is 5,776 feet above sea level. At its lowest point, the elevation of the county is 8 feet below sea level. Answer parts a through c. (Don’t simply
The difference or distance between the two points is 5768ft
The Difference in ElevationTo solve this problem, we have to find the difference between the highest point and lowest point of the county.
highest point = 5776ftlowest point = 8ftWhen the height of a point is its vertical distance above or below the surface of a reference plane* you have selected, it is called the elevation* of that point.
When the height of a point is its vertical distance above or below mean sea level (as the reference plane), it is called the altitude* of the point.
The difference between the points of elevation in this question is
[tex]5776 - 8 = 5768ft[/tex]
The difference in elevation is given as 5768ft
The complete question is-
At the highest point, the elevation of a county is 5,667 feet above sea level. At its lowest the elevation of the county is 7 feet below sea level. Answer parts a through c. Write an expression using integers to represent the difference between the elevations.
Learn more about expressions here;
https://brainly.com/question/21798279
#SPJ1
Please help me ,…………..
Answer:
answer 2 is correct as we have to put 6 in front of 3 , and x infront of 28. doesn't matter if we change its position.
Which function is an extended function for f(x) = StartFraction x cubed + 3 x squared minus x minus 3 Over x squared minus 1 EndFraction that is continuous for all values of x?
g (x) = StartLayout Enlarged left-brace First row StartFraction x cubed + 3 x squared minus x minus 3 Over x squared minus 1 EndFraction, x not-equals negative 1, 1 Second row negative 2, x = negative 1, 1.
g (x) = StartLayout Enlarged left-brace First row StartFraction x cubed + 3 x squared minus x minus 3 Over x squared minus 1 EndFraction, x not-equals negative 1, 1 Second row negative 2, x = 1.
g (x) = StartLayout Enlarged left-brace First row StartFraction x cubed + 3 x squared minus x minus 3 Over x squared minus 1 EndFraction, x not-equals negative 1, 1 Second row 4, x = negative 1, 1.
g (x) = StartLayout Enlarged left-brace First row StartFraction x cubed + 3 x squared minus x minus 3 Over x squared minus 1 EndFraction, x not-equals negative 1, 1 Second row 4, x = 1.
The function is f(x)=(x³+3x²-x-3)/(x²-1). The continuous function option A is correct.
Given that,
The function is f(x)=(x³+3x²-x-3)/(x²-1)
We have find the continuous function.
If the function's curve DOES NOT break at the point x = a, it is said to be a continuous function at that point in calculus. The mathematical definition of a function's continuity is given below. If x = a, then f(x) is continuous at that moment.
f(a) exists;
limₓ → ₐ f(x) exists;
limₓ → ₐ₋ f(x) = limₓ → ₐ₊ f(x) and
Both of the above values are equal.
Now, limₓ → ₐ f(x) = f(a).
The function g(x)=[tex]\left \{ {{\frac{x^{3}+3x^{2}-x-3 }{x^{2} -1} }, x\neq -1,1 \atop {-2, x=-1,1}} \right.[/tex]
Therefore, the continuous function option A is correct.
To learn more about function visit: https://brainly.com/question/12431044
#SPJ1
Histograms, can someone help me with the attached question please? will mark brainliest!!
The class interval of the histogram based on the information will lie between B. 150 ≤ h < 165.
What is a histogram?It should be noted that a histogram simply means a graph that is used to show the data given. It helps with the distribution of data.
In this case, the histogram shows the heights of the students.
It should be noted that the median simply means the number in the middle. In this case, the median will be between 150 and 165 based on the diagram.
In conclusion, the correct option is B.
Learn more about histogram on:
brainly.com/question/2962546
#SPJ1
x+3y=ab/3 make b the subject
the linear equation has solution b=3x+9y/a
what is linear equation?
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. the equation can be represented as Ax+ By= C,
x, y are variable, A,B, C are constant.
so given equation
x+3y=ab/3
multiply 3 on both side
⇒ ab=3x+9y
⇒b= 3x+9y/a
To know more refer about linear equation
brainly.com/question/12788590
#SPJ79
Nora s a race car driver. during a race the first pit stop took 8.352 seconds and the second pit stop took 8.025 seconds. how much faster was the second pit stop
The second pit stop was 0.327 seconds faster than the first pit stop which is the difference between both time
What is the Subtraction operation?
Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
We have been given that during a race the first pit stop took 8.352 seconds and the second pit stop took 8.025 seconds.
To determine how much faster the second pit stop.
We need to calculate the difference between the first pit stop and the second pit stop of time.
the difference = Time of first pit stop - Time of second pit stop
the difference = 8.352 - 8.025
the difference = 0.327 second
Learn more about Subtraction operations here:
brainly.com/question/25834626
#SPJ1
Which of these sequences of transformations would NOT return a shape to its original position?
Reflect over line x, then reflect over line x again.
Translate 1 unit up, then 4 units down, then 3 units up.
Rotate 270* counterclockwise around center C, then rotate 90* counterclockwise around C again.
Translate 3 unit left, then 3 units down.
A sequence of transformations that would not return a shape to its original position is: 'Translate 3 unit left, then 3 units down.'
1. Reflect over line x, and over x again.
These transformations are direct opposite and will cancel out one another. Hence, the shape will return to its initial position.
2. Translate 1 unit up, then 4 units down, then 3 units up.
This transformation will return a shape to its original position.
3. Rotate 270° counterclockwise around center C, then rotate 90° counterclockwise around C again.
This means, rotate object by 360° counterclockwise around C.
And this sequence of transformations will return a shape to its original position.
4. Translate 3 unit left, then 3 units down.
These sequence of transformations would not make a shape go back to its original position.
Therefore, a sequence of transformations that would not return a shape to its original position is: 'Translate 3 unit left, then 3 units down.'
Learn more about the transformations here:
https://brainly.com/question/15112122
#SPJ1
Simplify
Rewrite the expression in the form 5".
510
512
Answer:
510 by 2 is 255
255 by 2 is 127.5
127.5=63.75.63.75 by 2=31.875
31.875. by 2=15.9375
15.9375 by 2=7.96875
512 by 2=256
256 by 2=128
128 by 2=64
64 by 2=32
32 by 2=16
common demomenator for 1/6
the answer should be 6, 12, 18. 24
