The situation presented can be represented using the following letters CC, CP, PC, and PP.
How many combinations are possible in this situation?The possible combinations are:
Two batches of chocolate chip or CC.Two batches of pumpkin or PP.One batch of chocolate chip and another of pumpkin of CP.One batch of pumpkin and another of chocolate chip or PC.Based on this, the option that represents the situation is:
CC, CP, PC, and PP.
Note: This question is incomplete; here is the missing section:
What is the sample space of the event described above?
Answer choices:
a. CC, CP, PC, PP
b. CC, PP
c. CC, CP, PC
d. C, P
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Compute the lower Riemann sum for the given function f(x) = x^2 over the interval x E [-1,1] with respect to the partition P = [-1, -1/4, 1/2, 3/4, 1]
Answer:
[tex]\dfrac{1}{4}=0.25[/tex]
Step-by-step explanation:
The Riemann sum is a method by which we can approximate the area under a curve using a series of rectangles.
The Lower Riemann Sum uses the minimum height of the rectangle on each subinterval.
As the Lower Riemann Sum is entirely below the curve, it is an underestimation of the area under the curve.
The number of partitions is the number of rectangles used.
Partitions can be of equal length or not of equal length.
Given:
Function: f(x) = x²Interval: [-1, 1]Partition, P = [-1, -1/4, 1/2, 3/4, 1]The given partition divides the interval [-1, 1] into 4 subintervals:
[-1, -1/4], [-1/4, 1/2], [1/2, 3/4] and [3/4, 1]To calculate the areas of the rectangles, multiply the width of each rectangle by its height.
The width is the difference between the x-values of each subinterval.
The height is the minimum value of the function across the subinterval.
First rectangle [-1, -1/4]:
[tex]\begin{aligned}\implies \left(-\dfrac{1}{4}-(-1)\right) \cdot f\left(-\dfrac{1}{4}\right)&=\dfrac{3}{4} \cdot \left(-\dfrac{1}{4}\right)^2\\\\&=\dfrac{3}{4} \cdot \dfrac{1}{16}\\\\&=\dfrac{3}{64}\end{aligned}[/tex]
Second rectangle [-1/4, 1/2]:
[tex]\begin{aligned}\implies \left(\dfrac{1}{2}+\dfrac{1}{4}\right) \cdot f\left(0\right)&=\dfrac{3}{4} \cdot (0)^2\\\\&=\dfrac{3}{4} \cdot 0\\\\&=0\end{aligned}[/tex]
Third rectangle [1/2, 3/4]:
[tex]\begin{aligned}\implies \left(\dfrac{3}{4}-\dfrac{1}{2}\right) \cdot f\left(\dfrac{1}{2}\right)&=\dfrac{1}{4} \cdot \left(\dfrac{1}{2}\right)^2\\\\&=\dfrac{1}{4} \cdot \dfrac{1}{4}\\\\&=\dfrac{1}{16}\end{aligned}[/tex]
Fourth rectangle [3/4, 1]:
[tex]\begin{aligned}\implies \left(1-\dfrac{3}{4}\right) \cdot f\left(\dfrac{3}{4}\right)&=\dfrac{1}{4} \cdot \left(\dfrac{3}{4}\right)^2\\\\&=\dfrac{1}{4} \cdot \dfrac{9}{16}\\\\&=\dfrac{9}{64}\end{aligned}[/tex]
Therefore, the Lower Reimann Sum for the given function over the given interval and partitions is the sum of the area of the rectangles:
[tex]\implies \dfrac{3}{64}+0+\dfrac{1}{16}+\dfrac{9}{64}=\dfrac{1}{4}=0.25[/tex]
What is 3,879 rounded to nearest 100
What is the sum of 6 of the interior angles of a regular decagon
As a result, there are 1440 degrees total internal angles in a decagon.
What is angle?A figure that is created by two rays or lines that have the same endpoint is known as an angle in plane geometry. From the Latin word "angulus," which meaning "corner," comes the English term "angle." The vertex, which is the shared terminal of the two rays, is referred to as the side of an angle. Two lines intersect at a shared point to produce an angle. Degrees, denoted by the symbol °, are used to measure them. Acute, right, obtuse, and reflex angles are among the four crucial types of angles. 360° makes up a full circle. It has completed two full rotations if the angle is more than 720°.To learn more about angle, refer to:
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PLEASE HELP IM AWARDING HIGH POINTS
The polynomial [tex]-15\:y^4+12\:y^2-9\:y[/tex] as the sum of other polynomials. Each of the product's polynomials is written as = 3y (-5y³ + 4y - 3)
What is meant by polynomials?Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an equation made up of variables, constants, and exponents (No division operation by a variable) Sums of terms with the pattern kxn where k is any positive integer and n is an arbitrary number are known as polynomials. A polynomial is something like 3x+2x-5. Polynomials: An introduction In this video, basic terms such terms, degrees, standard form, monomial, binomial, and trinomial are covered. The formulas that only contain addition, subtraction, multiplication, and non-negative integer exponents are those that can be used to identify the polynomials. The expressions with other operations will be non-polynomial expressions.Given,
[tex]-15 y^4+12 y^2-9 y[/tex]
[tex]& y^2=y y \\[/tex]
[tex]& y^4=y^3 y \\[/tex]
[tex]& =-15 y^3 y+12 y y-9 y[/tex]
[tex]=-3 \cdot 5 y^3 y+3 \cdot 4 y y-3 \cdot 3 y[/tex]
Factor out common term 3y
= 3y (-5y³ + 4y - 3)
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Line m : y=4x+10
What would be the slope of a parallel line?
The slope of parallel lines is the same. The slope of both lines is 4 if somehow the path y = 4x - 10 is perpendicular to it.
In arithmetic, what is a slope?A line's angle of incidence might well be determined by looking at its slope. Slope is computed mathematically as "rise under flow" (change in y divided by change in x). A bridge's slope usually indicates the slopes and direction of the line. By calculating the change between both the measurements of the two locations, (x1,y1) and (x2,y2), it is simple to estimate the slopes of a horizontal path between them. The letters "m" is sometimes used this to represent slope.
In the point slope form, replace m = 1 with to create the equation (1,13).
y - y₁ = m(x - x₁)
y - 13 = 4 (x-1)
y - 13 = 4x - 4
y = 4x + 9
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The complete question is-
What is an equation of the line that is parallel to y=4x-10 and passes through (1,13)?
What are the features of the quadratic function graphed in the figure?
Vertex (3, -4) with x-intercepts (1, 0), (5, 0), and (0, 5) and an axis of symmetry of 3. As a result, choice B is the right response.
In a graph, what exactly is a vertex?
A node of a graph, or one of the points on which the graph is defined and which may be connected by graph edges, is known as a "vertex" and is a mathematical term for this type of point.The following are some characteristics of the quadratic function:The curve's bottommost point, or vertex, is situated halfway along the curve. The point's x-coordinate is 3 and its y-coordinate is -4. The quadratic's x-axis intersection points are (1, 0) and (5, 0), and its y-axis intersection point is (0,5).The right response is, therefore, option B.
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Full Question-
What characteristics can you see in the graph of the quadratic function in the figure? Options for question 14: A: The vertex is at (-4,3), the y-intercept is at (5,0), the x-intercepts are at (0,1) and (0,5), and the symmetry axis is at (-4,3) B: The vertex is at (-3,-4), the y-intercept is at (0,5), the x-intercepts are at (1,0) and (5,0), and the symmetry axis is at (3); C: Vertex: (3, -4), y-intercepts: (1, 0), and (5, 0), x-intercept: (0, 5), axis of symmetry: (3 D) Axis of symmetry is at x = -3, vertex is at (-3,4), y-intercept is at (0,5), and x-intercepts are at (1,0) and (5,0).
jessica and her family went to each applebee's. they ordered two appetizers for $15.58 each, 4 sweet teas for $23.67, chiken tenders meal for $10.two pasta meals for $19 each ,4 sweet teas for 1.25. jessica decided that her family should leave an 18% tip. how much wil Jessica's family pay for the meal, including the tip?
Answer: $180.02
Step-by-step explanation:
The total bill for the food will be $178.84 and then add the tip which is 18% to get the total. One method of changing the 18% to money wise is 1.18 and then adding the two numbers together to get a total of $180.02.
7/6 = 18 x-6 = 18 6x = 18 1. In 6 years, Rosario will be 18 years old. How old is she now? x + 6 = 18
For each value below, enter the number correct to four decimal places.
Suppose an arrow is shot upward on the moon with a velocity of 28 m/s, then its height in meters after t seconds is given by h(t) = 28t − 0.83t^2. Find the average velocity over the given time intervals.
A. [10, 11]:
B. [10, 10.5]:
C. [10, 10.1]:
D. [10, 10.01]:
E. [10, 10.001]:
The average velocity over the given time intervals [10, 11], [10, 10.5], [10, 10.1], [10, 10.01], and [10, 10.001] are -2.1425 m/s, -4.7475 m/s, -9.1260 m/s, -98.4300 m/s, and -984.3000 m/s, respectively.
A. [10, 11]: -2.1425 m/s
The average velocity over the given time interval is given by:
v_avg = (h(b)-h(a))/(b-a)
where a is the initial time and b is the final time.
In this case, a = 10 and b = 11.
Therefore,
v_avg = (h(11)-h(10))/(11-10)
= (28×11 - 0.83×11² - (28×10 - 0.83×10²))/(11-10)
= (-2.83)/1
= -2.83 m/s
Rounding to four decimal places, we get the answer as -2.1425 m/s.
B. [10, 10.5]: -4.7475 m/s
The average velocity over the given time interval is given by:
v_avg = (h(b)-h(a))/(b-a)
where a is the initial time and b is the final time.
In this case, a = 10 and b = 10.5.
Therefore,
v_avg = (h(10.5)-h(10))/(10.5-10)
= (28×10.5 - 0.83×10.5² - (28×10 - 0.83×10²))/(10.5-10)
= (-4.83)/0.5
= -9.66 m/s
Rounding to four decimal places, we get the answer as -4.7475 m/s.
C. [10, 10.1]: -9.1260 m/s
The average velocity over the given time interval is given by:
v_avg = (h(b)-h(a))/(b-a)
where a is the initial time and b is the final time.
In this case, a = 10 and b = 10.1.
Therefore,
v_avg = (h(10.1)-h(10))/(10.1-10)
= (28×10.1 - 0.83×10.1² - (28×10 - 0.83×10²))/(10.1-10)
= (-9.843)/0.1
= -98.43 m/s
Rounding to four decimal places, we get the answer as -9.1260 m/s.
D. [10, 10.01]: -98.4300 m/s
The average velocity over the given time interval is given by:
v_avg = (h(b)-h(a))/(b-a)
where a is the initial time and b is the final time.
In this case, a = 10 and b = 10.01.
Therefore,
v_avg = (h(10.01)-h(10))/(10.01-10)
= (28×10.01 - 0.83×10.01² - (28×10 - 0.83×10²))/(10.01-10)
= (-9.843)/0.01
= -984.3 m/s
Rounding to four decimal places, we get the answer as -98.4300 m/s.
E. [10, 10.001]: -984.3000 m/s
The average velocity over the given time interval is given by:
v_avg = (h(b)-h(a))/(b-a)
where a is the initial time and b is the final time.
In this case, a = 10 and b = 10.001.
Therefore,
v_avg = (h(10.001)-h(10))/(10.001-10)
= (28×10.001 - 0.83×10.001² - (28×10 - 0.83×10²))/(10.001-10)
= (-9.843)/0.001
= -9843 m/s
Rounding to four decimal places, we get the answer as -984.3000 m/s.
Hence,
A. -2.1425 m/s
B. -4.7475 m/s
C. -9.1260 m/s
D. -98.4300 m/s
E. -984.3000 m/s
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The average velocity over the given time intervals [10, 11] will be -2.83 m/s, [10, 10.5] will be -9.66 m/s, [10, 10.1] will be -98.43 m/s, [10, 10.01] will be -984.3 m/s, and [10, 10.001] will be -9843 m/s
A. The given time interval is: [10, 11]
The average velocity throughout the specified time span may be calculated as follows:
[tex]v_avg = (h(b)-h(a))/(b-a)[/tex]
where a is the initial time and b is the final time.
In this case, a = 10 and b = 11.
Therefore, the value of the average velocity will be
v_avg = (h(11)-h(10))/(11-10)
= (28×11 - 0.83×11² - (28×10 - 0.83×10²))/(11-10)
= (-2.83)/1= -2.83 m/s
B. The given time interval is: [10, 10.5]
The average velocity throughout the specified time span may be calculated as follows:
v_avg = (h(b)-h(a))/(b-a)
where a is the initial time and b is the final time.
In this case, a = 10 and b = 10.5.
Therefore,
v_avg = (h(10.5)-h(10))/(10.5-10)
= (28×10.5 - 0.83×10.5² - (28×10 - 0.83×10²))/(10.5-10)
= (-4.83)/0.5
= -9.66 m/s
C. The given time interval is: [10, 10.1]
The average velocity throughout the specified time span may be calculated as follows:
v_avg = (h(b)-h(a))/(b-a)
where a is the initial time and b is the final time.
In this case, a = 10 and b = 10.1.
Therefore,
v_avg = (h(10.1)-h(10))/(10.1-10)
= (28×10.1 - 0.83×10.1² - (28×10 - 0.83×10²))/(10.1-10)
= (-9.843)/0.1= -98.43 m/s
D. The given time interval is: [10, 10.01]
The average velocity throughout the specified time span may be calculated as follows:
where a is the initial time and b is the final time.
In this case, a = 10 and b = 10.01.
Therefore,
v_avg = (h(10.01)-h(10))/(10.01-10)
= (28×10.01 - 0.83×10.01² - (28×10 - 0.83×10²))/(10.01-10)
= (-9.843)/0.01 = -984.3 m/s
E. The given time interval is: [10, 10.001]
The average velocity throughout the specified time span may be calculated as follows:
v_avg = (h(b)-h(a))/(b-a)
where a is the initial time and b is the final time.
In this case, a = 10 and b = 10.001.
Therefore,
v_avg = (h(10.001)-h(10))/(10.001-10)
= (28×10.001 - 0.83×10.001² - (28×10 - 0.83×10²))/(10.001-10)
= (-9.843)/0.001= -9843 m/s
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Janie is a student in a science fair. Her project tracks how far a rumor can get spread throughout a school. Her data are represented by the following function:
f(x)=4(1+0.3)^1.5x
Rewrite the function to isolate x and solve for x = 8.
Janie is a student in a science fair. Her project tracks how far a rumor can get spread throughout a school.
f(x) = 8, x ≈ 8.
What is the function?Generally, To isolate x, we need to take the natural logarithm (ln) of both sides of the equation:
ln(f(x)) = ln(4) + 1.5xln(1 + 0.3)
then we can divide both sides by 1.5ln(1 + 0.3)
x = (ln(f(x)) - ln(4)) / (1.5ln(1 + 0.3))
To find x when f(x) = 8, we can substitute 8 for f(x) and solve for x:
x = (ln(8) - ln(4)) / (1.5ln(1 + 0.3))
x ≈ 8
Therefore, when f(x) = 8, x ≈ 8.
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There is a jury of 12 people, 5 men and 7 women.
If we randomly select two people, how likely is it that they are both women?
W^2-7w+10 divided by w-5
Answer:
[tex] {w}^{2} - 7w + 10 = (w - 2) ( w- 5) \\ ( {w}^{2} - 7w + 10) \div (w - 5) = (w - 2)[/tex]
A trader sells eggs at 30naira each or 150naira for six, How much do you save by buying three doten eggs in sixes Instead of separately
He saved 180 naira by buying three dozen eggs in sixes Instead of separately.
What is a dozen?A group of twelve is referred to as a dozen and is frequently abbreviated as doz or dz. Given that there are roughly twelve lunar cycles (or months) in each cycle of the sun (or year), the number twelve may be one of the earliest primitive integer groupings.
Twelve is useful because it has the greatest number of divisors among numbers up to its double, a property shared only by the numbers 1, 2, 6, 12, 60, 360, and 2520.
1 dozen = 12
3 dozen = 36
6 eggs costs 150 naira
36 eggs costs 150 naira = 36/6 × 150
= 900 naira
Each egg costs 30 naira, then 36 eggs costs = 36 × 30
= 1080 naira
Savings = 1080 - 900 = 180 naira
Thus, He saved 180 naira by buying three dozen eggs in sixes Instead of separately.
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The distance between the points (5, -1) and (x, 2x + 5) is…
distance between two points is given by √ (5x² +14x +61)
What is distance?
Length between two points that is measured along any straight line or curve line.
What is the distance between above two points?
Assume two points p (x, y) and Q (a, b). The distance between P and Q is determined by a formula.
distance PQ = √ [(a -x) ²+ (b - y²]
We are given two points (5, -1) and (x, 2x+5)
the distance between two points = √[(x- 5)² + {(2x+5) - (-1)}²]
√[(x-5) ²+ (2x+5+1) ²]
= √[(x- 5)² + (2x+6)²]
hence, distance between two points = √ (5x² + 14x+61)
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the bottom angle is also 45 could some one answer this for me
The length of the side opposite to the reference angle is 7.77 units.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
If we take the reference angle 45°, The side 'x' is opposite and the side having a length of 11 units is the hypotenuse.
We know, sin = opposite/hypotenuse.
Therefore,
sin45° = x/11.
1/√2 = x/11.
x = 11/√2.
x = 7.77 units.
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In 1927, Charles Lindbergh had his first
solo flight across the Atlantic Ocean. He
flew 3,610 miles in 33.5 hours. If he flew
about the same number of miles each
hour, how many miles did he fly each
hour?
To find out how many miles Charles Lindbergh flew per hour, we can use the formula:
miles per hour = total miles / total hours
In this case, the total miles is 3,610 and the total hours is 33.5. Plugging in these values, we get:
miles per hour = 3,610 / 33.5
miles per hour = 107.7 (approximately)
So Charles Lindbergh flew about 107.7 miles per hour during his first solo flight across the Atlantic Ocean.
You plant a rectangular garden that is 7 1⁄2' wide and has an area of 78.75 square ' you have 10 yd of wire fencing do you have enough wire fencing to enclosed the garden?
Someone has no enough wire fencing to enclose the rectangular garden.
Does someone have enough wire fencing to enclose the garden?
Herein we find the case of a rectangular garden, of which someone wants to enclose with wire fencing and we need to determine whether such fencing is enough to enclose that place with given dimensions (Width: 7.5 feet, area: 78.75 square feet).
The area of the rectangular garden is described by following formula:
A = w · l
Where:
w - Width, in feet.l - Length, in feet.First, determine the length of the rectangular garden:
l = A / w
l = 78.75 / 7.5
l = 10.5 ft
Second, calculate the perimeter of the rectangular garden:
p = 2 · (w + l)
p = 2 · (7.5 ft + 10.5 ft)
p = 36 ft
Thrid, determine if the fencing wire is enough to enclose the garden: (1 yard - 3 feet)
l = 36 ft × 1 yd / 3 ft
l = 12 ft
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All stocks traded in U.S. stock markets are identified by a "ticker symbol" — an abbreviation of one to four letters. For example, Ford is "F," DuPont is "DD," Microsoft is "MSFT," and Harley-Davidson is "HOG." How many different stock ticker symbols are possible?
The answer is 475,254, but I don`t understand how this number was gotten
Answer:
456,754
Step-by-step explanation:
A ticker symbol is an abbreviation of one to four letters, which means it can be one letter, two letters, three letters or four letters. Each letter can be any of the 26 letters in the English alphabet, so there are 26 choices for each position.
For one letter ticker symbols:
26 (number of choices for the first letter) * 1 (number of positions) = 26 different possibilities.
For two letter ticker symbols:
26 (number of choices for the first letter) * 26 (number of choices for the second letter) = 676 different possibilities.
For three letter ticker symbols:
26 (number of choices for the first letter) * 26 (number of choices for the second letter) * 26 (number of choices for the third letter) = 17,576 different possibilities.
For four letter ticker symbols:
26 (number of choices for the first letter) * 26 (number of choices for the second letter) * 26 (number of choices for the third letter) * 26 (number of choices for the fourth letter) = 456976 different possibilities.
So, the total number of different stock ticker symbols that are possible is 26 + 676 + 17,576 + 456976 = 456,754.
Mari suspects that there is a relationship between the number of text messages high school students send and their academic achievement. To explore this, she asks a random sample of 52 students at her school how many text messages they sent yesterday and what their grade point average (GPA) was during the most recent marking period. Her data are summarized in the scatter plot below. The line of best fit is also shown as y=3.8-0.005x.
what is the GPA of someone who texted 200 and 90 times?
Answer:
Interpretation of the slope: For students at this school, the predicted GPA decreases by 0.005 for each additional text message sent OR the GPA decreases by 0.005, on average, for each additional text message sent.
Interpretation of intercept: The model predicts that students at this school who send no text messages have, on average, a GPA of 3.8.
Step-by-step explanation:
The purpose of this task is to assess the ability to interpret the slope and intercept of the line of best fit in context. There are two common errors that students make when interpreting the slope. Students may not make it clear that the slope is the predicted change (not necessarily an actual change) in GPA associated with an increase of 1 in the number of text messages sent. They also often do not communicate that the slope describes the change
You might want to point out that it is not always reasonable to interpret the intercept as the predicted y value when x = 0, as this often involves extrapolation far beyond the range of the x values in the data set. In this example, however, it is appropriate because there are observations with x = 0 in the data set.
You can also point out that the interpretation of the slope and intercept represents a generalization from the sample of 52 students to the population of all students at the school. This is appropriate because the sample was a random sample of students from the school.
Although this task is short and looks simple, some of the points brought out in this task are subtle. It might be a good strategy to engage in a whole class discussion of the correct interpretations.
Write the rational numbers from smallest to largest
The rational numbers from smallest to largest is
5/7 < 11/15 < 3/4
What is a rational number?
In contrast to irrational numbers, which cannot be stated as fractions, rational numbers can be expressed as the ratio of two integers with the condition that the denominator not be equal to zero. Irrational numbers don't have ending or recurring decimals, but rational numbers do.
convert them into decimal numbers
3/4 = 0.75
5/7 = 0.714
11/15 = 0.733
0.714 < 0.733 < 0.75
So, the rational numbers from smallest to largest is
5/7 < 11/15 < 3/4
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What number represents the change in altitude a hiker must complete to return to sea level if he is at an altitude of 25 feet below sea level?
help please ASAP! :)
(PS, you can win 95 points by answering my question! =D)
The number that represents the change in altitude a hiker must complete to return to sea level if he is at an altitude of 25 feet below sea level is 25.
When the hiker is at an altitude of 25 feet below sea level, he needs to go up 25 feet to reach sea level. This represents a change in altitude of 25 feet, regardless of the direction it is going.
So the number that represents the change in altitude to return to sea level is 25.
Is 28/20 equal to 1 2/5?
Answer: Yes
Step-by-step explanation: 28/20 Simplified is 1 2/5
Answer:
Yes
Step-by-step explanation:
A local bar and grill is having a quarter wing night during which chicken wings cost a quarter each.
As you leave home to join your friends there, all you grab is a $20 bill. Determine how many wings
you can purchase if you also want to buy a pitcher of your favorite beverage for $5 and ranch dip
for $1.50. There is also sales tax of 8.5%. You will leave a 20% tip on your bill after tax.
(enter number only)
Answer: Here is the calculation:
The cost of the wings is $0.25 per wing
The cost of the pitcher of beverage is $5
The cost of the ranch dip is $1.50
Sales tax is 8.5%, so you need to add 8.5/100 * (5+1.5) = 0.0825 to the cost of the beverage and dip.
The cost of the beverage and dip after tax is 5+1.5+0.0825 = 6.5825
The total cost of the wings, beverage, and dip before tip is 6.5825 + 20 = 26.5825
You need to leave a 20% tip, so you need to add 0.2*26.5825 =5.31650 to the total cost
The total cost of the wings, beverage, dip and tip is 26.5825+5.31650 = 31.899
So you have $20 and you want to spend $31.899 including tax and tip, you can purchase 20/0.25 = 80 chicken wings.
Step-by-step explanation:
The Cheese Spread restaurant makes a grilled cheese sandwich with 2 oz of Swiss cheese and 4 oz of cheddar cheese. Which table represents the description of the proportional relationship?
Swiss Cheese (oz) 2 4 6
Cheddar Cheese (oz) 4 8 12
Swiss Cheese (oz) 4 8 12
Cheddar Cheese (oz) 2 4 6
Cheddar Cheese (oz) 2 1 0
Swiss Cheese (oz) 4 3 2
Cheddar Cheese (oz) 4 3 2
Swiss Cheese (oz) 2 1 0
PLS HELP WILL MARK BRAINLYIST HURRY PLSSS
A table between both the cheeses is given as,
Swiss Cheese (oz) 2 4 6
Cheddar Cheese (oz) 4 8 12, Option A is correct.
proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
Here,
Let x be the amount of Swiss cheese and y be the amount of cheddar cheese.
According to the question,
y = kx
put y = 4 and x = 2
k = 2
Now,
y = 2x
From the above relation, a table between both the cheeses is given as,
Swiss Cheese (oz) 2 4 6
Cheddar Cheese (oz) 4 8 12
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Please help!!! I am so confused and this is due tomorrow!!
f (x+ h) = 4(x+ h) - 6 and f (x+ h) - f (x) = 4(x+ h) - 6 - 4 (x) - 6 are the results of simulating f (x+ h) = 4.
what is function ?The subject of mathematics includes quantities and their variations, equations and related structures, forms and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A relationship between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
Given
A) f( x+ h ) = 4( x+ h ) - 6
B) f ( x+ h ) - f (x) = 4 (x+ h ) - 6 - 4 (x) - 6
f (x+ h) = 4(x+ h) - 6 and f (x+ h) - f (x) = 4(x+ h) - 6 - 4 (x) - 6 are the results of simulating f (x+ h) = 4.
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Which number from the set {1, 2, 3,4} makes the inequality 5x² > 12x + 9 true for x?
Is it 1 or 2 or 3 or 4?
Answer:
4
Step-by-step explanation:
substitute the values from the set into the inequality and check validity.
x = 1
5(1)² > 12(1) + 9
5(1) > 12 + 9
5 > 21 ← False
x = 2
5(2)² > 12(2) + 9
5(4) > 24 + 9
20 > 33 ← False
x = 3
5(3)² > 12(3) + 9
5(9) > 36 + 9
45 > 45 ← False
x = 4
5(4)² > 12(4) + 9
5(16) > 48 + 9
80 > 57 ← True
thus the value 4 from the set makes the inequality true
What is the solution to the following system?
IM BEING TIMMED!!!!!
(3, 1, 0)
(0, 1, 0)
(2, 1, 0)
(–2, 1, 0)
The solution of the given system of equations is (2, 1, 0).
What is system of equations?
A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, also known as a system of equations or an equation system.
Consider, the given system of equations.
3x + 3y + 6z = 9 ..(1)
x + 3y + 2z = 5 ..(2)
3x + 12y + 12z = 18 ..(3)
Divide equation (1) by 3
x + y + 2z = 3 ..(4)
Subtract equation (4) from equation (2)
x + 3y + 2z = 5
- x + y + 2z = 3
______________
2y = 2
⇒ y = 1
Multiply equation (1) by 2
6x + 6y + 12z = 18 ..(5)
Subtract equation (3) from equation (5)
6x + 6y + 12z = 18
- 3x + 12y + 12z = 18
_______________________
3x - 6y = 0 ..(6)
Multiply equation (2) by 6
6x + 18y + 12z = 30 ..(7)
Subtract equation (3) from equation (7)
6x + 18y + 12z = 30
- 3x + 12 y + 12z = 18
_______________________
3x + 6y = 12 ..(8)
Adding equation (6) and (8)
3x - 6y = 0
+ 3x + 6y = 12
________________
6x = 12
⇒ x = 2
Now plug x = 2, y = 1 in equation (1)
3(2) + 3(1) + 6z = 9
6 + 3 +6z = 9
9 + 6z = 9
6z = 0
z = 0
Hence, the solution of the given system of equations is (2, 1, 0).
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Which table represents only values described by the relationship between t and w?
w = t + 11.2
The table of w = t + 11.2 is:
t w
0 11.2
1 12.2
2 13.2
3 14.2
4 15.2
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
w = t + 11.2
The table can be calculated as,
When t = 1, w = 1 + 11.2 = 12.2
When t = 2, w = 2 + 11.2 = 13.2
When t = 3, w = 3 + 11.2 = 14.2
When t = 4, w = 15.2
So on..
Thus,
t w
0 11.2
1 12.2
2 13.2
3 14.2
4 15.2
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Which transformations have been performed on the graph of f(x)=√x to obtain the graph of g(x)=√x+3+6?
Select each correct answer.
Otranslate the graph to the left
O compress the graph closer to the x-axis
Otranslate the graph to the right
O translate the graph down
Otranslate the graph up
O reflect the graph over the x-axis
Ostretch the graph away from the x-axis
Therefore , the solution of the given problem of function comes out to be the correct options are B, E and F
What is meant by the word function?A science called mathematics studies numbers, its variations, arithmetic and the local tissue, shapes, and both their existing and projected places. The relationship between a group of inputs, which each have a corresponding output, is described by a function. A function is variable a collection of inputs that together produce a single, recognizable output with each input. A city, municipality, or scope—often referred to as a realm—is assigned to each function.
Here,
By observing the 1/4 placed ahead of the cubed root symbol, we can get the solution B. Every y value is reduced by a factor of 1/4, bringing it closer to the x axis.
By examining the 3 within the cube root symbol, we can determine solution E. The value is always moved left by that many spaces when we add a digit under the cube root symbol.
Finally, if we look at the 6 at the conclusion, we can locate F. Any integer used as a constant at the conclusion of an equation causes the graph to advance by that too many spaces.
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On a recent test, students had to determine whether the relation represented by the ordered pairs (1,2) (6,12) (12,24) (18,36) is a function. Bobby drew the arrow diagram on the right and said the relation was not a function. What error did Bobby most likely make?
Therefore , the solution to the given problem of ordered pair comes out to be Bobby might have made a mistake by using the two 12s that are present on each side of a mapping as the x-values.
What exactly are ordered pairs?A pairing of two variables that is presented in such a way as to imply a particular order is referred to as a "ordered pair."The x- and y-coordinates are indicated by the first and second terms, respectively, in an order pair. Close brackets are used to write the ordered pair, as seen in the example below.
Here,
The following are the ordered pairs:
(x,y) = (1, 2), (6, 12), (12, 24), (18, 36) (18, 36)
The following is what arrows show us:
1 -> 2
6-> 12
12->24
18 -> 36
The relational mapping shown above is a function.
This is the case since every x-value points to the same y-value.
Therefore , the solution to the given problem of ordered pair comes out to be Bobby might have made a mistake by using the two 12s that are present on each side of a mapping as the x-values.
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