The manager believes the set of integers would be the most appropriate domain for this model.
Time can be fractions and decimals
That time can 5 mins, 5 min and 15 secs, 5 min 50 secs
So the managers assumption is wrong
because there is shoes sold within the hour, therefore it should not be individual integers.
A video club costs $25 to join. Each video that is rented costs $2.50. Let v represent the
number of videos. Identify the independent and dependent variables. Then, write a rule
in function notation for the situation.
Answer:
Independent: videos rented; Dependent: total cost; f(v) = 2.5v + 25
Step-by-step explanation:
plz mark as brainliest i tryed my best im sure its right
the length of a rectangle is 4 inches shorter than its width. the perimeter of the rectangle is 80 inches. what are the length and width of the rectangle?
If length of a rectangle is 4 inches shorter than its width and perimeter of rectangle is 80 inches , then the length of rectangle is 18 in and width of rectangle is 22 in .
The Perimeter of rectangle can be calculated by using formula : \(2(l+w)\) ;
let the width of rectangle be = w ,
it is given that the length is 4 inches shorter than width , that means ;
the width of rectangle is ⇒ \(w-4\) ;
So , the perimeter becomes ⇒ \(80=2(l+w)\)
⇒ \(80=2(w-4+w)\)
⇒ \(40=2w-4\) ;
⇒ \(2w=44\) ;
⇒ \(w=22\) ;
and substituting \(w=22\) , we get \(l=22-4 = 18\) in
Therefore , the length of rectangle is 18 in and width is 22 in .
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IM AM SO CONFUSED
Find the solution set.
8x2 - 2x – 1=0
Separate the two values with a comma.
Hello,
Answer (1/2,-1/4)
\(8x^2-2x-1=0\\\\8x^2-4x+2x-1=0\\\\4x(2x-1)+2x-1=0\\\\(2x-1)(4x+1)=0\\\\sol=\{\dfrac{1}{2} ,-\dfrac{1}{4} \}\\\)
I need help on this question for math please!
Answer:
no
Step-by-step explanation:
using the values of the ordered pair in the first equating we get :
2 = 3×5 - 13 = 15 - 13 = 2
that fits.
but when using them in the second equation we get :
4×5 - 3×2 = 17
20 - 6 = 17
14 = 17
and that is wrong.
that means the point (5, 2) is not on the second line, so the point cannot be the crossing point (= solution, where both equations deliver the same result) of both lines.
FYI
we would solve the system by using the first equality directly in the second equation :
4x - 3(3x - 13) = 17
4x - 9x + 39 = 17
-5x = - 22
5x = 22
x = 22/5 = 4.4
and y is then
y = 3×4.4 - 13 = 13.2 - 13 = 0.2
the actual solution of the system is therefore
(4.4, 0.2)
-4 1/2 + 3 1/4 What is the sum and where would it be plotted on the number line
Answer:
it will be plotted in between -1 and -2. (if you would've shown a number line, i could've helped more)
Step-by-step explanation:
4 1/2 - 3 1/4=1 1/4
then make it negative again and you get -1 1/4
I can't figure this question out can I please have help with this question please
Complete the table below by computing the gear ratios. Round to the nearest whole number.
By dividing the input gear's circumference by the output gear's circumference, we may determine the gear ratio between two gears .
what is ratio ?A mathematical comparison of two or more quantities that are somehow connected to one another is called a ratio. A colon or the phrase "to" might be used to denote the fractional part of the expression. Ratios can be employed in a variety of mathematical operations, including simplification, multiplication, and division by a common factor. They are frequently utilised in daily life, including in financial planning, sports statistics, and cooking recipes.
given
GearCombination DriverGearTeeth FollowerGearTeeth GearRatio
A-B 30 60 2
B-C 60 20 3
C-D 20 40 2
D-E 40 30 1
By dividing the input gear's circumference by the output gear's circumference, we may determine the gear ratio between two gears.
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I WILL GIVE BRAINLIEST 5 STARS AND A HEART PLEASE HELPPPP
Answer:
140 square feet
Step-by-step explanation:
The total area can be calculated by splitting this irregular shape into two quadrilaterals.
In this case, I am splitting it horizontally, but you can do it vertically and get the same answer!
I'm left with a 10 by 8 ft rectangle and an 15 by 4 ft rectangle. So, the total area is equivalent to:
\(10*8 + 4*15\\80 + 60\\=140\)
Have a nice day. Spread The Love!
Solve the system:
5x-6y= -44
3x + 7y = 69
Answer:
Point form:
(2, 9)
Equation form:
x = 2,y = 9
Step-by-step explanation:
Which function best represents the sequence 10, 13, 16, 19, 22..., where n is a positive whole number?
a(n) = 7+3n
Ob(n) = 10 + 3n
Oc(n) = 7+3
Od(n) = 10 +3"
Answer:
first function
Step-by-step explanation:
there is a common difference between consecutive terms , that is
13 - 10 = 16 - 13 = 19 - 16 = 22 - 19 = 3
this indicates the sequence is arithmetic with nth term
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 10 and d = 3 , then
\(a_{n}\) = 10 + 3(n - 1) = 10 + 3n - 3 = 7 + 3n
Why is the angle 120? I've tried explaining that one interior angle in a regular hexagon is 120, but it didn't work.
Answer:
The interior angle of a regular hexagon (a hexagon in which all sides are equal in length and all angles are equal) is 120 degrees because the sum of the interior angles in any polygon can be calculated using the formula:
(n-2) * 180
where n is the number of sides in the polygon.
So for a hexagon, which has 6 sides, the formula would be:
(6-2) * 180 = 4 * 180 = 720
This means that the sum of the interior angles in a hexagon is 720 degrees. Since there are 6 interior angles in a hexagon, and the sum of all of them is 720 degrees, each angle must measure 720/6 = 120 degrees.
I hope this helps! Let me know if you have any more questions.
Step-by-step explanation:
45% to a decimal ples help out
Answer:
45% = 0.45
Step-by-step explanation:
45%
= \(\frac{45}{100}\)
= 0.45
Answer:
0.45
Step-by-step explanation:
45/100
45÷100
0.45
What is the vertex of the absolute value function below?
2
8
5
4 3 2
1+
5
4
-
1
2
-2
(-3,-2)
(-3.2)
0 (
2-3)
123)
Answer: Choice B
The vertex is (-3, 2)
===========================================================
Explanation:
The vertex is the lowest point of a V shaped graph like this. If the V was upside down, then the vertex would be the highest point. The graph shows that (-3, 2) is the lowest point.
Side note: The equation for this absolute value function is y = |x+3|+2
The vertex of the absolute value function given below is (-3, 2).
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Absolute value functions are of the form,
f(x) = |x|.
Here |x| means the absolute value of x.
The vertex of the absolute value function is the point where the direction of the graph changes.
From the given graph, line was having negative slope until the point (-3, 2) and then it changes the direction.
Hence the vertex of the graph is (-3, 2).
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2. if a sample has a mean of 100 and standard deviation of 6, what value would correspond the the z-score of 2?
The z-score of 2 for a sample has a mean of 100 and a standard deviation of 6 is 112.
The value that would correspond to the z-score of 2 for a sample with a mean of 100 and standard deviation of 6 can be calculated using the formula for z-score:
z = (x - mean) / standard deviation
In this case, we want to find the value of x that corresponds to a z-score of 2. We can rearrange the formula to solve for x:
x = (z * standard deviation) + mean
Substituting the values given in the question:
x = (2 * 6) + 100
x = 12 + 100
x = 112
Therefore, the value that corresponds to the z-score of 2 for this sample is 112.
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the cost to rent skis at a local sporting goods store is $15 plus $20 per day. which equation models the relationship between the total cost to rent, c, and the length of the rental in days, d ?
Answer:
c = 20d + 15
Step-by-step explanation:
answer choices may help if the answer is not one of the choices; but here is the answer that it should be:
20 dollars per day is 20 times the length of rental.
15 is a cost that is added and does not change.
c = the total cost therefore:
c = 20d + 15
pls help with my problem!
OMG please answer this question for me or else parents will kick me out of the house
Answer: what sup it the girl from math class i found ya lol
Step-by-step explanation:
I need help please is for my last test
The graph is an exponential function because it is symmetrical about the y-axis.
Exponential graph and equationIn mathematical functions known as exponentials, the independent variable takes the form of an exponent. They use the generic form f(x) = a^x, where x is the exponent and a is the base of the exponential function.
From the given graph, you can see that the curves represents an expoenential curves that is reflected over the y-axis, that is they are mirror image of each other.
Based on the explanation above, we can conclude that the graph is an exponential function because it is symmetrical about the y-axis.
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Determine the value of y
Answer:
C
Step-by-step explanation:
Because \(y^{\circ}\) and \(134^{\circ}\) both lie on a straight line, they sum to \(180^{\circ}\).
So, \(y+134=180\).
We can subtract \(134\) from both sides of the equation to get \(y=46\).
So, the answer is \(\boxed{C}\) and we're done!
The cost of renting a moving van is $39.99 plus an additional $0.19 for each mile driven. which expression represents the cost of renting the truck for m miles? $39.99m + $0.19 $39.99m + $0.19m $39.99 + $0.19 $39.99 + $0.19m
The required equation for the cost of renting a moving van is
y = $39.99 + $0.19 m
According to the question we have been given that
Rental fee = $39.99
Additional charge = $0.19
Let the y represent the cost of renting a moving van
and m represent the number miles driven by the van.
The expression can be formed as
y = (fixed charge) + m*(additional charge)
y = $39.99 + $0.19 m
hence the required equation for the cost of renting a moving van is
y = $39.99 + $0.19 m
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What is the area of the curved surface of a right circular cone of radius 15 and height 8? The area of the curved surface is | | units. (Type an exact answer in terms of π.)
Curved surface area of cone: 255π or approx. 801.41 sq units with radius 15 and height 8.
The curved surface area of a right circular cone can be calculated using the formula:
A = πrℓ
where A is the area of the curved surface,
r is the radius of the base of the cone, and
ℓ is the slant height of the cone.
To find the slant height, we can use the Pythagorean theorem:
ℓ² = r² + h²
where h is the height of the cone.
Substituting the given values, we get:
ℓ² = 15² + 8²
ℓ² = 225 + 64
ℓ² = 289
ℓ = √289
ℓ = 17
Now, substituting the values of r and ℓ in the formula for curved surface area, we get:
A = πrℓ
A = π(15)(17)
A = 255π
Therefore, the area of the curved surface of the cone is 255π square units, or approximately 801.41 square units.
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What is the answer to the Brain Teaser below
Answer:
19
Step-by-step explanation:
The boots are the value of 10, since 3 equal 30. The man is the value of 5 since there are two men (10) and one boot (also 10) which made 20. The ribbon is the value of 4 since there is one man (5) and 2 ribbons (8 ) which made 13. add 10, 5 and 4 and you get 19.
Answer:
16
Step-by-step explanation:
From the first equation, I can infer that one pair of boots equals 10 because 10+10+10=30. Also, I can infer that just one boot equals 5 because there are 6 boots in total and 5+5+5+5+5+5=30
From the second equation, I can infer that one boy equals 5 because 2 boys which equal 10 plus one pair of boots which equals 10 is 20.
From the third equation, I can infer that one pair of ribbons is 4 because the boy equals 5 and 13-5=8. There are two pairs of ribbons so 8/2=4. I can also infer that just one ribbon is 2 because 8 divided by 4 individual ribbons is 2.
So, for the last equation, it would be 5+9+2 which the answer would equal 16. The one boot that would equal 5 plus the boy and 2 individual ribbons he's holding in his hands would equal 9 plus one ribbons which would equal 2 would all equal 16.
Hope this is helpful.
PLS HELP WILL MARK BRAINLIEST
Answer:
90-degree angle
as you can see, there is clearly a 90 degree right next to it, but that doesn't tell us anything, because it has symmetry with the 3 right next to it, all that is different is that it has a longer x-axis, which will not affect our answer.
Hope this helps!
If an observation yields a Z-score of -3, this indicates that the observed value is 3 [ Select ] below the [ Select ] .
If an observation yields a Z-score of -3, this indicates that the observed value is 3 standard deviations below the mean.
The Z-score measures the number of standard deviations an observation is away from the mean of a distribution. A Z-score of -3 means that the observed value is 3 standard deviations below the mean. In a standard normal distribution (with a mean of 0 and a standard deviation of 1), a Z-score of -3 indicates that the observed value is 3 standard deviations below the mean. This means the observed value is relatively far from the mean in the negative direction. For example, if the mean of a dataset is 50 and the standard deviation is 10, an observation with a Z-score of -3 would have a value of:
Value = Mean + (Z-score * Standard Deviation)
Value = 50 + (-3 * 10)
Value = 50 - 30
Value = 20
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hi! please help in math!
i need the solution/explanation on how you got the answer
(y + 3) = -8(x - 4)
what is the slope?
Answer:
slope m = - 8
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
y + 3 = - 8(x - 4) ← is in point- slope form
with slope m = - 8
The slope is :
↬ -8Solution:
Given: \(\bf{y+3=-8(x-4)}\)
To determine the slope, it's important to know the form of the equation first.
There are 3 forms that you should be familiar with.
The three forms of equations of a straight line are:
Slope Intercept (y = mx + b)Point slope (y-y₁) = m(x - x₁)Standard form (ax + by = c)This equation matches point slope perfectly.
The question becomes, how do you work with point slope to find slope?
Point slopeIn point slope, m is the slope and (x₁, y₁) is a point on the line.
Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.
Hence, the slope is -8.find the equation of the line tangent to f(x)=−2sin(x) at x=34π.
the equation of the line tangent to f(x) = -2sin(x) at x = 34π is y = -2x + 68π + 2sin(34π).
To find the equation of the line tangent to the function f(x) = -2sin(x) at x = 34π, we need to find the slope of the tangent line at that point, and then use the point-slope form of the equation of a line.
The slope of the tangent line is equal to the derivative of the function at x = 34π. We can find the derivative of f(x) using the chain rule:
f'(x) = -2cos(x)
Therefore, f'(34π) = -2cos(34π) = -2.
This means that the slope of the tangent line is -2 at x = 34π.
To find the equation of the tangent line, we also need a point on the line. Since the tangent line passes through the point (34π, f(34π)), we can use this point as the point-slope form of the equation of the line:
y - f(34π) = m(x - 34π)
Substituting the values we have found, we get:
y - (-2sin(34π)) = -2(x - 34π)
Simplifying, we get:
y = -2x + 68π + 2sin(34π)
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Find the value of x.
3x +30 2x 4x
Answer:
9x+30
Step-by-step explanation:
because form rule of like and unlike term
Geometry. Math nation section 3
∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements from the given information
Two angles are given.
∠g = (2x-90)°
∠h = (180-2x)°
We have to find the statement which is true about the angles g and h.
If both angles are greater than zero.
Complementary angles add up to 90 degrees
i.e., ∠g and ∠h are complementary if ∠g + ∠h = 90°.
Substituting the given values:
∠g + ∠h
= (2x-90)° + (180-2x)° = 90°
Thus, ∠g and ∠h are complementary angles.
and both the angles are less than 90 degrees so we can tell that angles ∠g and ∠h are acute.
So the statement ∠g and ∠h are acute angles is also true
Hence, ∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements
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_____ suggests that the threat of a loss has a greater impact on a decision than the possibility of an equivalent gain.
a. The Carnegie model
b. Prospect theory
c. The bounded rationality perspective
d. McGregor's Theory X
The term that suggests that the threat of loss has a greater impact on a decision than the possibility of an equivalent gain is prospect theory.
Prospect theory is a theory that describes how individuals make decisions under uncertainty. The theory suggests that people think about gains and losses differently and that the value they assign to a particular change in their situation depends on their current situation. The theory is based on the observation that people often violate the principle of expected utility. They make decisions that do not maximize their expected utility. The theory suggests that people evaluate outcomes based on changes from a reference point, rather than in absolute terms. This means that people are more sensitive to changes in their situation than to the situation itself.
For example, a loss of $100 is more painful than the pleasure of gaining $100, and the pleasure of gaining $100 is less than the pain of losing $100.
In summary, Prospect theory suggests that the threat of a loss has a greater impact on a decision than the possibility of an equivalent gain.
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The length of AB (the minor arc) is
24 cm. What is the circumference of o C?
The circumference of the circle C would be =78.5cm
How to calculate the circumference of the given circle?To calculate the circumference of a circle when the length of an arc is given, the radius is the circle is first determined.
Length of an arc(L) = 2πr ∅/360
where:
L = 24cm
∅ = 110°
r = ?
That is :
24 = 2×3.14×r(110/360)
24= 2×3.14× r ×0.305555555
make R the subject of formula;
r = 24/2×3.14×0.305555555
r = 24/1.9188888854
= 12.5cm
The circumference of the circle using the formula = 2πr
= 2×3.14× 12.5
= 78.5cm
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