The rule for learning the > sign is demonstrating eating with the right hand.
InequalityThe inequality signs are;
Greater than >Let was than <Equal to =Greater than or equal to ≥Less than or equal to ≤The rule for teaching your students the greater than > sign is by imagining eating with their right hand. The shape of the hand when taking food into the mouth is the greater than sign.
Learn more about inequality:
https://brainly.com/question/25275758
#SPJ1
Enter the letter of the graphed
function.
-
-
a.y = (x + 2)(x − 1)(x − 3)
b.y = (x + 2)(x - 1)(x - 3)²
-
c. y = (x + 2)(x − 3)(x - 1)²
d.y= (x - 1)(x − 3)(x + 2)²
e.y = (x - 1)(x - 3)(x + 2)³
The graphed function is: y = (x + 2)(x − 1)(x − 3).
Option (a) is correct.
From the graph given in the question, it can be seen that the graph has 3 critical points, namely, x= -2, x = 1 and x = 3.
From all the five options given, the first option, that is, y = (x + 2)(x − 1)(x − 3), has the critical points x= -2, x = 1 and x = 3.
The critical points for a function are obtained by substituting the function to be equal to zero.
So, (x + 2)(x − 1)(x − 3) = 0
That is, x= -2, x = 1 and x = 3.
Learn more about functions here:
https://brainly.com/question/25638609
#SPJ1
will give brainly .Which statements are true regarding undefinable terms in geometry? Check all that apply.
A point has no length or width.
A point indicates a location in a coordinate plane.
A plane has one dimension, length.
A line has a definite beginning and end.
A plane consists of an infinite set of lines.
A line consists of an infinite set of points.
The true statements about terms in geometry that are undefinable are;
A point has no length or widthA point indicates a location on the coordinate planeA line consists of an infinite set of points.A plane consists of an infinite set of points.How can the true statements be found?Three undefinable terms in geometry are;
1) Point
2) Line
3) Plane
The above terms do not have a formal definition but they can be described based on their properties.
The other geometric terms are defined based on the above undefinable terms.
A point can be described as a location in space that is dimensionless and can be specified on the coordinate plane as an ordered pairs (x, y).
True statements about a point are therefore;
A point has no length or widthA point indicates a location on the coordinate planeA line is infinitely long, that has no beginning or end. It has one dimension, with no thickness or height.
Given that a point is dimensionless, a line can be considered a set of points.
A true statement is therefore;
A line consists of an infinite set of points.A plane is a two dimensional geometric figure that have infinite length and width.
An infinite set of lines that forms a two dimensional figure can be used to describe a plane.
The true statement with regards to a plane is therefore;
A plane consists of an infinite set of points.Learn more about undefinable terms in geometry here:
https://brainly.com/question/1706041
#SPJ1
the square of a whole number is between 500 and 900. the number must be between...
A. 20 and 30
B. 30 and 40
C. 40 and 50
D. 50 and 60
The number must be between 20 and 30.
How to find the square of whole number?The square of the whole number can be found as follows;
The square of the whole number is between 500 and 900. The number must be between 20 and 30.
The number is an whole number.
Therefore, the number will be between 20 and 30.
20² = 400
30² = 900
learn more on square here: https://brainly.com/question/11261431
#SPJ1
The function g is related to one of the parent functions g(x) = x2 – 3 The parent function is: f(x)= x^2 Use function notation to write g in terms of f.
g(x) is a translation of f(x), we have:
g(x) = f(x) - 3
How to write g(x) in terms of f(x)?
We have the two functions:
[tex]g(x) = x^2 - 3\\\\f(x) = x^2[/tex]
We can see that g(x) is just a translation of 3 units downwards of f(x), to write g(x) in terms of f(x) we can just replace the first term by f(x):
[tex]g(x) = x^2 - 3 = f(x) - 3[/tex]
So we have:
g(x) = f(x) - 3
If you want to learn more about translations:
https://brainly.com/question/24850937
#SPJ1
help this is affecting my grade i need help pls i beg of you
Can you help me with this please?
The half-life of the given exponential function is of 346.57 years.
What is the half-life of an exponential function?It is the value of t when A(t) = 0.5A(0).
In this problem, the equation is:
[tex]A(t) = A(0)e^{-0.002t}[/tex].
In which t is measured in years.
Hence the half-life is found as follows:
[tex]0.5A(0) = A(0)e^{-0.002t}[/tex]
[tex]e^{-0.002t} = 0.5[/tex]
[tex]\ln{e^{-0.002t}} = \ln{0.5}[/tex]
[tex]0.002t = -\ln{0.5}[/tex]
[tex]t = -\frac{\ln{0.5}}{0.002}[/tex]
t = 346.57 years.
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
What is the area of a poster that is 1 1/2 feet by 2 1/2 feet?
The area of the poster is 28.75 feet square.
How to determine the areaNote that the area of a rectangle is given as;
Area = length × width
Length = 11. 5 feet
Width = 2. 5 feet
Area = 11. 5 × 2. 5
Area = 28. 75 feet square
Thus, the area of the poster is 28.75 feet square.
Learn more about area of a rectangle here:
https://brainly.com/question/14137384
#SPJ1
What is the value of the expression 7 + (16 − 7) ÷ 3 + 8?
12
15
17
18
The solution to the expression is 18
x is directly proportional to y. When x = 4, y = 7. Work out the value
of y when x = 12
Answer:
y = 21
Step-by-step explanation:
When x is directly proportional to y:
When x increases, y also increases.
In this case, it is so you write,
1. Write down the formula: y=kx
k being the constant.
Let's use "When x = 4, y = 7" to work out the constant.
2. Substitute the 'when' values: 7=k×4
3. Rearrange to find the constant: 7÷4=k
4. Find k: k=1.75
Now let's see the new problem, 'what is y when x = 12'.
5. Substitute the values now but keep the constant: y = 1.75 × 12
6. Rearrange if needed.
7. Find the missing value: y = 21
Hope this helped and if you require further assistance from me please comment below! :)
Ps: If it was inversely proportional then the formula would be y = k / x
with k still being the constant.
Diego Company manufactures one product that is sold for $70 per unit in two geographic regions—the East and West regions. The following information pertains to the company’s first year of operations in which it produced 53,000 units and sold 48,000 units.
Variable costs per unit:
Manufacturing:
Direct materials $ 21
Direct labor $ 10
Variable manufacturing overhead $ 2
Variable selling and administrative $ 4
Fixed costs per year:
Fixed manufacturing overhead $ 1,060,000
Fixed selling and administrative expense $ 557,000
The company sold 36,000 units in the East region and 12,000 units in the West region. It determined that $270,000 of its fixed selling and administrative expense is traceable to the West region, $220,000 is traceable to the East region, and the remaining $67,000 is a common fixed expense. The company will continue to incur the total amount of its fixed manufacturing overhead costs as long as it continues to produce any amount of its only product.
15. Assume the West region invests $43,000 in a new advertising campaign in Year 2 that increases its unit sales by 20%. If all else remains constant, what would be the profit impact of pursuing the advertising campaign?
The 53,000 units produced and the increase in sales of 50,400 - 48,000 = 2,400 units, give an impact (increase) in profit of $168,000
How can the impact in profit be found?Price per unit = $70
Number of units produced = 53,000
Number of units sold = 48,000
Material cost per unit = $21
Labour cost per unit = $10
Manufacturing overhead = $2
Selling and administrative overhead = $4
Fixed cost = $1,060,000
Administrative expenses = $557,000
Advertising cost = $43,000
Percentage increase in sales = 20%
Number of units sold in Year 2 = 1.2 × 12,000 = 14,400
Total cost = 53000×(21+10+2+4) + 1,060,000 + 557,00 = 3,578,000
Total revenue in Year 1 = 70 × 48,000 = 3,360,000
Profit = Revenue - CostProfit in Year 1 = 3,360,000 - 3,578,000 = -218,000
Total revenue in Year 2 = 70 × (36,000+14,400) = 3,528,000
Profit in Year 2 = 3,528,000 - 3,578,000 = -50,000
The impact on the profit is therefore;
-50,000 - (-218,000) = 168,000
The profit impact is an increase in profit of $168,000Learn more about revenue, profit, and costs here:
https://brainly.com/question/2115053
#SPJ1
Billy eats 28 apples and he had 40 apples at the start a kid asks for an apple how many apples are there left?
Answer: 11
Step-by-step explanation: 40-28= 12-1=11
Answer:
11 apples are left.
Step-by-step explanation:
Since Billy ate 28 apples from the 40 apples he had at the start, you have to subtract 40-28, which equals 12. Lastly, you subtract 12-1, since a kid asks Billy for an apple.
The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below.
a. Find the probability of getting exactly 6 girls in 8 births.
b. Find the probability of getting 6 or more girls in 8 births.
c. Which probability is relevant for determining whether 6 is a significantly high number of girls in 8 births: the result from part (a) or part (b)?
d. Is 6 a significantly high number of girls in 8 births? Why or why not? Use 0.05 as the threshold for a significant event.
Number of Girls x P(x)
0 0.002
1 0.016
2 0.109
3 0.199
4 0.348
5 0.199
6 0.109
7 0.016
8 0.002
The answers to the questions are
0.1090.127b is a relevant factor6 is not highHow to solve for the probabilitya. From the table the probability of having 6 girls in 8 birth is given as
0.109.
b. The probability of 6 or more girls in 8 births
p(6) + p(7) + p(8)
= 0.109 + 0.016 + 0.002
= 0.127
c. The result from b is the relevant factor given that it includes the probability of getting 6, 7 and 8 girls.
D. No six is not a significantly high number of girls in 8 births. This conclusion is from the fact that 0.109 is greater than 0.05.
Read more on probability here:
https://brainly.com/question/24756209
#SPJ1
101.19 / 4 using long division
On a recent trip to the convenience store, you picked up 2 gallons of milk, 6 bottles of water, and 7 snack-size bags of chips. Your total bill (before tax) was $25.65. If a bottle of water costs twice as much as a bag of chips, and a gallon of milk costs $1.90 more than a bottle of water, how much does each item cost?
Answer:
The water costs $1.90, the chips are $.95 and the milk is $3.80.
Step-by-step explanation:
Let m = milk
Let w = water
Let c = chips
2m+6w+7c =25.65 w = 2c m = w + 1.90
For the first equation, substitute w for 2C and m for w + 1.90 to get:
2(w+1.90) +6(2c) + 7c = 25.65
2w+3.8+12c+7c=25.65
2w+19c = 21.85
Now substitute 2c for w:
2(2c)+19c =21.85
4c + 19c = 21.85
23c = 21.85
c = .95 Now that we know the cost of the chips we can use that to find the water and the milk for the original equations that we wrote at the top.
w = 2c
w=2(.95) = 1.90
m = w + 1.90 = 1.90+1.90 = 3.80
Solve the following equation for y to find the slope and the y-intercept: 2y - x = 6
Step-by-step explanation:
2y - x = 6
2y = x + 6
y = (x + 6) / 2
the slope is 1 and the y int is 3
10 points please help with calculus HW
Find equations for the tangent line and the normal line to the graph of the equation at the given point. (The normal line at a point is perpendicular to the tangent line at the point.)
x^2 + y^2 = 10, (1, 3)
(a)Tangent Line = ___?____
(b)Normal Line=____?____
(c) Select a graph from the graph pictures attached
a. The equation of the tangent at (1,3) is y = -x/3 + 10/3
b. The equation of the normal at (1,3) is y = 3x
c. Find the graph in the attachment
a. How to find the equation of the tangent at (1, 3)?Since x² + y² = 10, we differentiate the equation with respect to x to find dy/dx which the the equation of the tangent.
So, x² + y² = 10
d(x² + y²)/dx = d10/dx
dx²/dx + dy²/dx = 0
2x + 2ydy/dx = 0
2ydy/dx = -2x
dy/dx = -2x/2y
dy/dx = -x/y
At (1,3), dy/dx = -1/3
Using the equation of a straight line in slope-point form, we have
m = (y - y₁)/(x - x₁) where
m = gradient of the tangent = dy/dx at (1,3) = -1/3 and (x₁, y₁) = (1,3)So, m = (y - y₁)/(x - x₁)
-1/3 = (y - 3)/(x - 1)
-(x - 1) = 3(y - 3)
-x + 1 = 3y - 9
3y = -x + 1 + 9
3y = -x + 10
3y + x = 10
y = -x/3 + 10/3
So, the equation of the tangent at (1,3) is y = -x/3 + 10/3
b. The equation of the normal at the point (1, 3)Since the tangent and normal line are perpendicular at the point, for two perpendicular line,
mm' = -1 where
m = gradient of tangent = -1/3 and m' = gradient of normalSo, m' = -1/m
= -1/(-1/3)
= 3
Using the equation of a straight line in slope-point form, we have
m' = (y - y₁)/(x - x₁) where
m' = gradient of normal at (1, 3) and (x₁, y₁) = (1,3)So, m = (y - y₁)/(x - x₁)
3 = (y - 3)/(x - 1)
3(x - 1) = (y - 3)
3x - 3 = y - 3
y = 3x - 3 + 3
y = 3x + 0
y = 3x
So, the equation of the normal at (1,3) is y = 3x
c. Find the graph in the attachment
Learn more about equation of tangent and normal here:
https://brainly.com/question/7252502
#SPJ1
The sum of two integers is 250.If one of them is -87,find the others integers
write an inequality to represent the graph:
Answer:
Step-by-step explanation:
Can you please help me with this urgently need help?
It is grade 12 advance function question
Answer: The spin of the wheel by the contestant is an illustration of a sine function whose equation is y = -1.25sin(0.8x + 0.25)
The equation that represents the function will be; y = -1.25sin(0.8x) + 0.25
How does sine function works?Suppose that we've got
[tex]f(x) = a\sin(bx + c) + d[/tex]
Amplitude or maximum height from average motion horizontal axis
= a + d
Thus, the minimum low from horizontal axis is –a + d (sin ranges from -1 to 1, and multiplying a to it make it range from -a to a).
A sine function is represented as:
y = Asin(B(x+C)) + D
Now, Substitute the calculated values,
y = -1.25sin(0.8(x+C)) + 0.25
The horizontal shift (C) is 0.
So, the function will be;
y = -1.25sin(0.8x) + 0.25
Learn more about function;
https://brainly.com/question/2750981
#SPJ2
How many fewer people live in Elmira than White Plains
Population density implies the number of an object, items, or people that can be found in a unit area at a particular time. Therefore, the number of fewer people that live in Elmira than in White Plains is 27,653.
Population density implies the total number of objects, items, or people that exist in a unit area or a place at a particular time. So that the number of people that exist in a place, area, city, or country can be referred to as population, in a particular period.
Thus in the given question, it can be deduced that;
The population of people living in White Plains =56,853
The population of people living in Elmira = 29,200
So, the difference in the population between the two cities can be determined as;
= 56,853 - 29,200
= 27,653
Thus, the number of fewer people living in Elmira than in White Plains is 27,653
for more clarifications on the population density of objects, visit: https://brainly.com/question/24328512
#SPJ1
Someone please help with this question!
The value of angle 20 is as follows:
m∠20 = 50.9 degrees.
How to find angles when parallel lines are cut by a transversal?When parallel lines are cut by a transversal, angle relationships are formed. This include corresponding angles, alternate angles , vertical angles etc.
Therefore, line l and m are parallel lines cut by the two transversal.
Hence,
m∠6 ≅ m∠20 (alternate angles)
Therefore, alternate angles are congruent
m∠20 = 2x - 4
m∠19 + m∠20 = 180 (angles on a straight line)
5x - 8 + 2x - 4 = 180
7x - 12 = 180
7x = 180 + 12
7x = 192
x = 192 / 7
x = 27.4285714286
x = 27.43
Therefore,
m∠20 = 2(27.43) - 4
m∠20 = 50.8571428571
m∠20 = 50.9 degrees.
learn more on parallel lines here: https://brainly.com/question/14938694
#SPJ1
Ram bough some pen for Rs 90. If he paid Rs 1 less for each he would have 3 more pens. How many pens did he buy?
Based on the fact that Ram bought some pens and they cost Rs.90 but if he had paid Rs.1 less for each he would have 3 more pens, the number of pens he bought is 6 pens.
What number of pens did Ram buy?This can be represented as:
(x + 3) (y - 3) = 90
Where xy = 90
xy - 3x + 3y - 9 = xy
3y - 3x - 9 = 0
y - x - 3 = 0
x - y + 3 = 0
Solving further gives:
x - 90/ x + 3 = 0
x² + 3x - 90 = 0
Remembering that:
90 = 9 x 10
= 3 x 3 x 2 x 5
= 15 x -6
Going back to the formula:
x (x + 15) - 6 (x + 15)
(x + 15) (x - 6) = 0
x - 6 = 0
x = 6 pens
In conclusion, the number of pens bought was 6 pens.
Find out more on solving for missing quantities at https://brainly.com/question/2390480
#SPJ1
The sum of three numbers is 24. If two numbers are 16 and 22, what is the third?
Answer:
X=-14
Step-by-step explanation:
16+22+x=24
38+x=24
x=24-38
x=-14
A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 5.5%. The probability distributions of the risky funds are:
Suppose now that your portfolio must yield an expected return of 12% and be efficient, that is, on the best feasible CAL.
This problem is about pension fund management. It is to be noted that the best Feasible Capital Allocation Line (CAL) is: 0.3162.
What is Capital Allocation Line (CAL)?
A graph's capital allocation line depicts all conceivable combinations of risky and risk-free assets, allowing investors to estimate future returns depending on risk.
What is the calculation for the above solution?
It is to be noted that the optimal risky portfolio's stock percentage is determined by:
Weight of Stock = ((Return on Stock - Risk Free Rate) * Variance of bond) - ((Return on Bond - Risk Free Rate) * Co-Variance of bond & Stock)/ ((Return on Stock - Risk Free Rate) * Variance of bond + (Return on Bond - Risk Free Rate) * Variance of Stock - ((Return on Bond - Risk Free Rate + Return on Stock - Risk Free Rate + ) * Co-Variance of bond & Stock)
→ The weight of stock
= ((15% - 5.5%) * 529) - ((9% - 5.5%) * 110.40)/ ((15% - 5.5%) * 529) + (9% - 5.5%) * 1,024 - ((15% - 5.5% + 9% - 5.5%) * 110.40)
= [(50.255) * (3.864) /(50.255) + (46.08) - (14.352)]
Weight of Stock = 0.646628
Weight of Bonds = 1 - 0.646628
Weight of Bonds= 0.353372
Expected return of portfolio = 0.646628 * 15% + 0.353372 * 9%
= 12.88%
Standard Deviation of Portfolio (SDP)= (0.6466282² * 1,024 + 0.3533722² * 529 + 2 * 0.646628* 0.353372* 110.40)⁰·⁵
SDP = (544.67)⁰·⁵
SDP = 23.34%
Hence,
Best feasible CAL = (12.88% - 5.5%)/ 23.34%
Best feasible CAL = 0.3162
Learn more about Feasible Capital Allocation Line (CAL):
https://brainly.com/question/24154917
#SPJ1
Full Question
See the attached spread sheet for additional information related to the questions.
Which of the following rational functions is graphed below?
Answer:
A
Step-by-step explanation:
If you were to substitute 2 or -3 into equation A, the denominator would be zero and you would have to divide by zero. Thus there are asymptotes for this function at -3 and 2, matching the graph
Melissa bought 42 pine seedlings and 30 juniper seedlings
to plant in rows on her tree farm. She wants each row to
have the same number of seedlings. She wants only one
type of seedling in each row. What is the greatest number of
seedlings she can plant in each row? How many rows of each
type
of tree will there be?
Answer:
See below
Step-by-step explanation:
GCF (greatest common factor ) of 42 and 30 is 6
each row will have 6 seedlings
there will be ( 42+30) / 6 = 12 rows
7 pine rows 5 juniper rows
pls need help
ersrsreerre
The computation shows that the salesman that has the highest total earnings for the three weeks period will be salesman A.
How to compute the value?It should be noted that from the information given, we are given the information about three salesmen and their sales.
The total earnings for salesman A will be:
= (1300 × 3) + 65 × (11 + 14 + 16)
= 3900 + 2730
= 6630
The total earnings for salesman B will be:
= 300 × 3 + 40 × (14 + 15 + 13)
= 900 + 1680
= 2580
The total earnings for salesman C will be:
= 900 × 3
= 2700
Therefore, the computation shows that the salesman that has the highest total earnings for the three weeks period will be salesman A.
Learn more about computations on:
brainly.com/question/4658834
#SPJ1
Darcy read her thermometer in the morning and the
temperature was -2° C. In the afternoon the same
thermometer showed a temperature of -5° C.
Which of the following is true?
The temperature was 3 degrees warmer in the afternoon.
The temperature was 3 degrees colder in the afternoon.
The temperature was 7 degrees colder in the afternoon.
The temperature was 7 degrees warmer in the afternoon.
Answer:
The temperature was 3 degrees colder in the afternoon
Step-by-step explanation:
numbers on the left of zero on the number line are arranged in decreasing order and as such -2 is greater than -5.
The true statement is The temperature was 3 degrees colder in the afternoon.
What is temperature?Temperature is a physical quantity that expresses quantitatively the perceptions of hotness and coldness. Temperature is measured with a thermometer.
Given that, Darcy read her thermometer in the morning and the temperature was -2° C. In the afternoon, the same thermometer showed a temperature of -5° C.
-2-3 = -5
We see, that, the temperature is falling from -2 to -5, that means, there was a fall in temperature from morning to afternoon.
Hence, the temperature was 3 degrees colder in the afternoon.
For more references on temperature, click;
https://brainly.com/question/11464844
#SPJ1
if x = 2z and y = 3z, find z
Answer:36
Step-by-step explanation:
Let name the missing angle in the triangle w.
We know that x+z+w=180
We also know that z+w=3z=y.
That means that w=2z.
x=2z, so, 2z+2z+z=180
z=36
Answer:
Z=36 degrees
Step-by-step explanation:
Since angles x and y are supplementary, you know that they add up to 180 degrees.
Since we know that:
=x+y
=2z+3z
=5z
=180 degrees
180/5=36 degrees, so Z=36 degrees
Triangles ABC and A''B''C'' are similar. Identify the type of reflection performed and the scale factor of dilation.
The type of reflection performed and the scale factor of dilation of the diagram are; Reflection over the x-axis and a scale factor dilation of 2.
How to Identify Transformation used on diagram?From the given diagram, we are told that triangle ABC is transformed into Triangle A"B"C".
Now, we are told that both triangles are similar and as such if they are similar then, it means each corresponding side has the same ratio. Thus, there was a dilation by a scale factor of 2.
Now, the reflection that took place after the dilation would be a reflection over the x-axis.
Read more about Transformations at; https://brainly.com/question/4289712
#SPJ1