The function which has range (2, ∞) is,
D) y = 5ˣ + 2
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, For a function: y = 5ˣ
Range is,
⇒ ( 0 , + ∞ )
And, we have:
y = 5ˣ + 2 ,
which is translated 2 units up.
So, the range is ( 2, + ∞ ).
Hence, The function which has range (2, ∞) is,
D ) y = 5ˣ + 2
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a philosophy professor assigns letter grades on a test according to the following scheme. a: top 13% of scores b: scores below the top 13% and above the bottom 62% c: scores below the top 38% and above the bottom 15% d: scores below the top 85% and above the bottom 8% f: bottom 8% of scores scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5 . find the minimum score required for an a grade. round your answer to the nearest whole number, if necessary.
To find the minimum score required for an A grade, we need to determine the cutoff point that corresponds to the top 13% of scores.
Given that the scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5, we can use the standard normal distribution to calculate the cutoff point. Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to the top 13% is approximately 1.04. To find the corresponding raw score, we can use the formula:
x = μ + (z * σ)
where x is the raw score, μ is the mean, z is the z-score, and σ is the standard deviation. Plugging in the values, we have:
x = 69.5 + (1.04 * 9.5) ≈ 79.58
Rounding this to the nearest whole number, the minimum score required for an A grade would be 80. Therefore, a student would need to score at least 80 on the test to achieve an A grade according to the professor's grading scheme.
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A caterer charges a flat fee of $345 in addition
to $45 per person to serve food at a family
reunion.
Write an equation to represent the total cost of
hiring the caterer and the number of people
attending the family reunion?
Answer: y = 45x + 345
Step-by-step explanation:
So y is the total cost of hiring the caterer and the number of people attending the family reunion.x represents how many people attend. It is $45 per person, so it would be 45 times the number of people attending, or 45x.345 is the extra amount that is added on and must be paid.So...the equation is y = 45x + 345.Hope this helps!!! :)
1 7/8 cups of ketchup times 3.
Answer:
5 5/8 cups of ketchup
Step-by-step explanation:
1 7/8 x 3
15/8 x 3/1 = 45/8
45/8 = 5 5/8
For 50 points can you help me with this I really need help.
The coordinates of the points in the table indicates that the coordinates of the image following the reflections, can be presented on the coordinate plane as shown in the attached graph created with MS Excel.
What is a reflection transformation?A reflection transformation is one in which the mirror image of the preimage is created across a line of reflection.
The coordinate points of the image after the specified reflections can be presented as follows;
Original \({}\)Reflection across the x-axis Reflection across the y-axis y = -x
(0, 15) \({}\) (0, -15) (0, 15) (-15, 0)
(1, 15) \({}\) (1, -15) (-1, 15) (-15, -1)
(1, 13) \({}\) (1, -13) (-1, 13) (-13, -1)
(3, 15) \({}\) (3, -15) (-3, 15) (-15, -3)
(3, 12) \({}\) (3, -12) (-3, 12) (-12, -3)
(1, 10) \({}\) (1, -10) (-1, 10) (-10, -1)
(1, 8) \({}\) (1, -8) (-1, 8) (-8, -1)
(3, 10) \({}\)(3, -10) (-3, 10) (-10, -3)
(3, 7) \({}\) (3, -7) (-3, 7) (-7, -3)
(1, 5) \({}\) (1, -5) (-1, 5) (-5, -1)
(1, 2) \({}\) (1, -2) (-1, 2) (-2, -1)
(4, 4) \({}\) (4, -4) (-4, 4) (-4, -4)
(5, 7) \({}\) (-5, 7) (5, -7) (-7, -5)
(7, 8) \({}\) (7, -8) (-7, 8) (-8, -7)
(6, 5) \({}\) (6, -5) (-6, 5) (-5, -6)
(8, 6) \({}\) (8, -6) (-8, 6) (-6, -8)
(9, 9) \({}\) (9, -9) (-9, 9) (-9, -9)
(11, 10) \({}\) (11, -10) (-11, 10) (-10, -11)
(10, 7) \({}\) (10, -7) (-10, 7) (-7, -10)
(12, 8) \({}\) (12, -8) (-12, 8) (-8, -12)
(13, 6) \({}\) (13, -6) (-13, 6) (-6, -13)
(11, 5) \({}\) (11, -5) (-11, 5) (-5, -11)
(14, 4) \({}\) (14, -4) \({}\) (-14, 4) (-4, -14)
(12, 3) \({}\) (12, -3) (-12, 3) (-3, -12)
(9, 4) \({}\) (9, -4) (-9, 4) (-4, -9)
(7, 3) \({}\) (7, -3) (-7, 3) (-3, -7)
(10, 2) \({}\) (10, -2) (-10, 2) (-2, -10)
(8, 1) \({}\) (8, -1) (-8, 1) (-1, -8)
(5, 2) \({}\) (5, -2) (-5, 2) (-2, -5)
(2, 0) \({}\) (2, 0) (-2, 0) (0, -2)
The above coordinate points can be used to plot the graphs showing the image of the points following the specified reflections across the x-, y-, and y = -x, axis.
Please find attached the required graph of the coordinate points following the reflection transformations, created with MS Excel.
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a pilot is plying over a straight highway. He determines the angles of depression to two mileposts to be 32 degrees and 56 degrees. The pilot is flying at an altitude of 25,00ft. Find the distance between the two points
The distance between the two points, we can use the trigonometric equation distance = altitude/tan(angle of depression). Using this equation, we can calculate the distance to be approximately 6,665.93 ft.
Pilot is at point A. The angles of depression to mileposts B and C are 32 degrees and 56 degrees, respectively. We are asked to find the distance between B and C.
Let AB = x, BC = y, and AD = CD = h = 25,000 ft.
tan(32°) = h/AB
tan(56°) = h/AC = h/(AB + BC)
We can use the first equation to solve for AB:
AB = h/tan(32°) = 25,000/tan(32°) ≈ 44,908.55 ft
We can use the second equation to solve for AC:
tan(56°) = h/(AB + BC)
tan(56°) = 25,000/(AB + BC)
AB + BC = 25,000/tan(56°)
BC = 25,000/tan(56°) - AB ≈ 38,242.62 ft
Therefore, the distance between the two mileposts is:
BC ≈ 38,242.62 - 44,908.55 ≈ 6,665.93 ft
So the distance between the two mileposts is approximately 6,665.93 ft.
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HELP PLS HELPP egrhsdjtkfylkfjhtrgthynbvrshtndgvrehtbgd
Answer:
126
Step-by-step explanation:
The area of the top triangle is (6)(6)/2 = 18 square meters.
The area of the bottom rectangle is (9)(12)=108 square meters.
Adding these, we get the total area to be 126 square meters.
a group spends $277.50 to rent 15 tubes for a float down the ichetucknee river. how many of each type of tube does the group rent?
Each tube costs $15.17 to the group of friends when they rent 15 tubes for floating down near the Ichetucknee River. The procedure is as follows:
Given, the cost of each tube; 15 tubes would cost $277.50 to rent.
1 dollar equals 100 cents. Along these lines, $227= 22700 penniesConsequently,
the cost of 15 tubes be = (22700+50)cents=22750 pennies
The expense of one tube= (22750/15)cents
=1516.7 pennies
= $15.17
The expense split technique is a method used to distribute the cost of a shared expense among a group of individuals. It involves dividing the total cost of the expense by the number of people in the group to calculate each person's share of the cost.
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In the graph, y represents a company's profit in thousands of dollars, and x represents the time in years.
(3,4)
(3,2)
per year
x1
At what rate is the company's profit changing?
The company profit is decreasing by 1/3 thousand dollars per year.
What is an equation?An equation is an expression that shows how numbers and variables are related using mathematical operations. Equations can be linear, quadratic, cubic and so on.
The slope intercept form of a linear equation is:
y = mx + b
Where m is the rate of change and b is the initial value of y.
Let y represents a company's profit in thousands of dollars, and x represents the time in years.
From the graph, using the point (-3, 4) and (3, 2):
\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\)
Substituting:
\(y-4=\frac{2-4}{3-(-3)} (x-(-3))\\\\y=-\frac{1}{3}x+3\)
The company profit is decreasing by 1/3 thousand dollars per year.
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help me pls
a s a p!
Answer:
45:30:100
Step-by-step explanation:
the answer would be 9:6:20
A sidewalk has an area that can be
represented by the expression (8x + 24) feet. Factor the
expression 8x +24
Answer:
8 ( x + 3 )
Step-by-step explanation:
8x divided by 8 = 1
24 divided by 8 = 3
Move the 8 outside of the parentheses for "8 ( x + 3 )"
which term best describes the vertex , relative maximum or relative minimum
The standard form of a quadratic equation is:
\(y=a(x-h)^2+k\)in this equation the vertex is (h,k). Moreover, if a>0 the parabola opens upward and vertex is a reletive minimum; if a<0 the parabola opens downward and the vertex is a maximum.
In this case the vertex is (-2,-1) and since a=1/3 then this is a minimum of the parabola.
Would 3x+4 on a graph be + or -?
Answer:
3x+4 on a graph would be positive
Step-by-step explanation:
For triangle ABC. AB = 6 and BC = 17. Which of the following is a possible length for AC?
How do you find the initial guess in bisection method?
The bisection method is a numerical algorithm used for finding roots of a function. This explanation will discuss the process of determining the initial guess in the bisection method.
In the bisection method, the initial guess serves as the starting point for finding a root of a function within a given interval. The key requirement for the initial guess is that it should bracket the root, meaning that the function must have opposite signs at the endpoints of the interval.
To determine the initial guess, you need to identify an interval [a, b] where the function changes sign. This can be done by analyzing the behavior of the function graphically or by examining its values at different points.
Once you have identified an interval that brackets the root, the midpoint of that interval is chosen as the initial guess. The midpoint is computed as (a + b) / 2.
Selecting the midpoint as the initial guess ensures that the root lies within the interval [a, b]. The bisection method then proceeds by iteratively narrowing down the interval until the desired level of accuracy is achieved.
It's important to note that the success of the bisection method depends on choosing a suitable initial guess that satisfies the bracketing condition, leading to a reliable and efficient convergence towards the root.
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determine whether the matrix is invertible [2 9 1 14]
A. Yes B. No
The matrix \(\left[\begin{array}{rr}2 & 9 \\1 & 14\end{array}\right]\) is invertible. Therefore, option A. is correct.
To determine whether the matrix is invertible, we need to check if it has a non-zero determinant.
The given matrix is \(\left[\begin{array}{rr}2 & 9 \\1 & 14\end{array}\right]\), which represents a 2x2 matrix.
The determinant of a 2x2 matrix is calculated as follows:
determinant = (a * d) - (b * c)
where a, b, c, and d are the elements of the matrix.
In this case:
a = 2
b = 9
c = 1
d = 14
Now, let's calculate the determinant:
determinant = (2 * 14) - (9 * 1) = 28 - 9 = 19
Since the determinant is non-zero (19), the matrix is invertible.
Therefore, the answer is:
A. Yes
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Need help ASAP! Question in picture;)
Solve for x.
Step-by-step explanation:
\(30 + 4x + 2 = 80\)
\(4x + 32 = 80\)
\(4x = 48\)
\(x = 12\)
Therefore, the answer is x = 12.
Hoped this helped.
\(BrainiacUser1357\)
What expression is equal to x squared minus 6x
Answer:
Step-by-step explanation:
\(x^{2} -6x\)
x + (x − 14) = 40. little confused
Answer:
27is answer
Step-by-step explanation:
x+ x - 14 = 40
or, 2x = 40+ 14
or, 2x = 54
or, x = 54
2
or, x= 27
The table lists the measures of center and measures of dispersion for a data set.
mean median mode range standard deviation
65.8 63.5 65 11 3.9
find the mean, median, mode, range, and standard deviation when each value of the data set is increased by 8.
Answer:
it's difficult , sorry
Step-by-step explanation:
ask easily one
I need help! I'm almost done with my test this is one of the last questions!
Answer:
3 1/2
Step-by-step explanation:
|3 1/2|
= | 7/2|
= 7/2
= 3 1/2
Mr. Lucas mowed 2/5 of his lawn. His son mowed 1/4 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
Answer:
Mr. Lucas mowed more, 8/20 he mowed. His son mowed 5/20. They need 7/20 more to be mowed 20/20 - 13/20 = 7/20
Given f(x) = 2x2 – 9x + 2, g(x) = 1 - 6x, and
h(x) = x2 – 4, find the following function:
(h+f)(x)
Answer:
\((h+f)(x)=3x^2-9x-2\)
Step-by-step explanation:
\(f(x)=2x^2-9x+2\\g(x)=1-6x\\h(x)=x^2-4\)
Looks like g(x) is irrelevant here.
You can expand this like so:
\((h+f)(x)\\h(x)+f(x)\)
And even further:
\((x^2-4)+(2x^2-9x+2)\)
Now, it's just a matter of simplifying.
\(x^2-4+2x^2-9x+2\\\\(x^2+2x^2)+(-9x)+(-4+2)\\\\3x^2-9x-2\)
Therefore:
\((h+f)(x)=3x^2-9x-2\)
if i have a b and then i get a 72% on a test that is 30% of my grade, what will my grade be?
Answer:
if you have about an 85 now than you shouldn’t go below a b
Step-by-step explanation:
If 3x+11=-4 find the value of the expression 5x-6
Answer:
5x-6: -29
Step-by-step explanation:
3x+11=-4
-11 -11
3x=-15
/3 /3
x= -5
5(-5)-6
-25-6
-29
Hope this helps! Have a great day :)
PLEASE HELP this is due in 10 minutes
Answer:
2/^7-2+1=57
Step-by-step explanation:
Need done ASAPppppppp
Answer:
a. Yes it's a proportional relationship. It is because Distance is travelled uniformly.
b. Unit is m/min^2.
c. It means he is travelling in meters with minutes counting how far he have travelled.
Hope this helped. Dont forget to give thanks.
I dont know why it says im in high school im in middle school. But anyways can someone please explain how to get percentage.
Answer:
Step-by-step explanation:
To change a decimal into a percent you multiply by 100.
If there is a fraction that you need to convert into a percent. Completely divide the fraction. 4/5 = 0.8 then multiply by 100 you get 80%. This means that 4 is 80% of 5
Answer:
how to get a percentage from a decimal is when you take the decimal point and move it twice to the left
Step-by-step explanation:
for example
.07 = 7%
does that make sense?
UM, math question on area
Answer:
whats the question
Step-by-step explanation:
Answer:
multiply width and length, for rectangles, parallelograms, and rhombuses
If a triangle divide by two
if a trapezoid, take the average of the two length and multiply by height
hope this helps
comment if you need calculation for the area of other shapes!
Need the value of X!!
Step-by-step explanation:
127-83=44
9x-10=44
9x=54
x=6
learning goal:to understand the concept of electromotive force and internal resistance; to understand the processes in one-loop circuits; to become familiar with the use of the ammeter and voltmeter.
The correct option for the given relation is option C. Using a voltmeter and an ammeter connected in series with battery, emf and terminal voltage.
The serial connection of an ammeter Option A and B are incorrect because the voltmeter is connected in parallel to the circuit. Without causing a buildup, charged particles in a conductor. If it happens otherwise, it generates its own electric field, which cancels out the electric field from the outside, ultimately causing the current to step in the wrong direction choice D. We can measure the terminal voltage, or emf, of the battery X in option C using a voltmeter and an ammeter connected in series. R allows us to measure current.
Therefore appropriate choice is option C.
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