Answers
Answer:
Graph B
Step-by-step explanation:
Given is a function as
[tex]f(x) = \frac{3}{2} (\frac{1}{3} )^x[/tex]
There are 4 graphs given.
Out of the 4 options we have to select one which suits this graph
Let us study about f graph
X intercept is at infinity.
Or y=0 is asymptote for this curve
y intercept is when x =0
i.e. y intercept =3/2 (1) = 3/2
Only A and B satisfy this value of y intercept
Out of A and B we have to select one option
When x=1, we get
f(1) = 3/2 (1/3) = 1.5
This is satisfied only by Graph B.
Hence answer is graph B.
When x tends to -infinity y
Related Questions
Brett wants to paint the exterior of his two-story home but does not know what length ladder he should buy. The top of his roof is 29 ft above ground level, and (for safety reasons) the ladder should not be at more than an 80° angle from the ground. How long, rounded up to the nearest foot, is the shortest ladder that Brett should buy?
Answers
so after rounding is 30 ft
Answer:
Brett should buy a ladder of minimum 30 ft length.
Step-by-step explanation:
Brett wants to paint his exterior of a double story home.
Height of the roof of the second story from the ground = 29 feet
Maximum angle between the ground and the ladder should be = 80°
Now from the figure,
sin 80° = [tex]\frac{AB}{AC}[/tex]
0.9848 = [tex]\frac{29}{AC}[/tex]
AC = [tex]\frac{29}{0.9848}[/tex]
AC = 29.45
≈ 30 ft
Therefore, Brett should buy a ladder of minimum 30 ft length.
The expression 0.01E+0.003E^2 gives the thickness in millimeters (mm) of the insulation needed for a high voltage cable. E is the number of kilovolts carried by the cable. What thickness of insulation material is needed for 7 kilovolt cable?
Answers
T = 0.01E + 0.003E^2
T = 0.01(7) + 0.003(7)^2
T = 0.217 mm
Therefore, the thickness of the insulation needed would be 0.217 mm.
Answer: 0.217 mm
Step-by-step explanation:
What is the lateral area of the drawing?
A. 425 km2
B. 1021 km2
C. 200 km2
D. 114 km2
Answers
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given 4 trapeziums with parallel sides :
[tex]a=8\ km\\b=4\ km[/tex]
For height 'h'. we will consider the right angled triangle with
Perpendicular = 4.3 km and base = 2 km ,
We need to find the hypotenuse:
[tex]H^2=B^2+P^2\\\\H^2=2^2+4.3^2\\\\H^2=4+18.49\\\\H=\sqrt{22.49}\\\\H=4.742\ km[/tex]
Now, Lateral surface area of the figure = 4 × Area of trapezium
[tex]4\times \frac{1}{2}\times (8+4)\times 4.742\\\\=113.81\ km^2\\\\=114\ km^2[/tex]
Hence, Option 'D' is correct.
Find the derivative of f(x) = (1 + 6x2)(x − x2) in two ways.
Answers
f(x)=(1+6x²)(x-x²)
f'(x)=(12x)(x-x²) + (1-2x)(1+6x²) = 12x² -12x³ +1 +6x² -2x -12x³ = -24x³ +18x² -2x +1
Solving the bracket first;
f(x)=(1+6x²)(x-x²) = x -x² +6x³ -6x^4
f'(x)= 1 -2x +18x² -24x³ = -24x³ +18x² -2x +1
The volume of a fish tank is 20 cubic feet. If the density is 0.2 fish over feet cubed, how many fish are in the tank? (1 point)
Answers
0.2 = n / 20
n = 20*0.2 = 4
there are 4 fish in the tank.
Answer : The number of fish present in the tank are, 4 fish.
Step-by-step explanation :
As we are given that the volume of a fish tank is 20 cubic feet and density is 0.2 fish over feet cubed.
Now we have to determine the number of fish in the tank.
As, in 1 cubic feet tank the number of fish present in tank = 0.2 fish
So, in 20 cubic feet tank the number of fish present in tank = 20 × 0.2 fish
= 4 fish
Therefore, the number of fish present in the tank are, 4 fish.
A driver's education course compared 1,500 students who had not taken the course with 1,850 students who had. Of those students who did not take the driver's education course, 1,150 passed the written driver's exam the first time compared with 1,440 of the students who did take the course. A significance test was conducted to determine whether there is evidence that the students who took the driver's education course were more likely to pass the written driver's exam the first time. What is the p-value for an appropriate hypothesis test?
1
0.7895
0.4209
0.2105
0
(I chose .4209 after using a 2-PropZTest. I need some help checking. An explanation if I'm wrong would be great)
Answers
Answer:
0.2105
Step-by-step explanation:
Its correct
△DEF has vertices D (2,2), E (-2,-1), and F (-3,5). Complete the following charts indicating the location of △D′E′F′ and △D″E″F″.△DEF is reflected in the y-axis. Then it is translated along the vector ⟨3,−5⟩. Enter your answers as points using parenthesis and commas. Do not use any spaces.
Answers
the coordinate of D' (-2, 2)
the coordinate of E' (2, -1)
the coordinate of F' (3, 5)
Translating D'E'F' by the vector (3, -5) gives the following coordinate of D''E''F'' as follows
the coordinate of D'' (-2+3, 2-5) = (1, -3)
the coordinate of E'' (2+3, -1-5) = (5, -6)
the coordinate of F'' (3+3, 5-5) = (6, 0)
The diagram below shows the transformation of triangle DEF
The scores for today’s math quiz are 75, 95, 60, 75, 95, and 80. Explain the steps needed to create a histogram for the data
Answers
Answer: Determine what should go on each axis. Grades will go on the x-axis, and the number of students will be plotted on the y axis. Find the number of different scores and range. Choose an interval - say, 10 percent. Find the frequency within each interval. Choose a scale - say, - 0-3. Draw bars the height of the frequency for each interval.
The histogram is defined as the graphical representation of the data points in the given specified range.
The histogram is similar to a bar graph. In the histogram, the data is grouped in logical ranges.
The steps involved in the making of the histogram are:
The vertical axis represents the y-axis. On the y-axis, the score or marks of the quiz will be placed. The interval between the scores is 5. The x-axis is the horizontal axis, on which the relative grades will be put on. The interval, let be 10 percent for the grades. Now, draw the bars to a respective height of the frequency of marks on the y-axis.
Therefore, the histogram is similar to the bar graph, in which the quantitative analysis of the data is done.
To know more about the histogram, refer to the following link:
https://brainly.com/question/17145899
Consider the following function: f(x)= 25-x^2/x^2-4x-5 Which of the following are correct? Check all of the boxes that apply.
-m not equal to n
-m is equal to n
-There is only one vertical asymptote.
-y = –1 is the horizontal asymptote.
Answers
Answer: B, C, and D
Step-by-step explanation:
Just did it and got the answers wrong so these are the correct ones
Answer:
B, C, D
Step-by-step explanation:
-m is equal to n
-There is only one vertical asymptote.
-y = –1 is the horizontal asymptote.
How do you solve and graph a piece wise function and state the domain and range?
Answers
now for 4) check the picture on the left-hand-side
if you notice the intervals, it goes from -∞ and stops at -2, then goes from 2 over to 3, then from 3 onwards, so the domain will also be (-∞ , +∞).
Now, the range...
the 1st subfunction 3-x is just a line coming down form -∞....
the 2nd subfunction is just 2x, also a line going up, now once you get to
the 3rd subfunction is just 5, meaning y = 5, or f(x) = 5, which is just a horizontal line at y = 5.
since the 3rd subfunction goes from x > 3 onwards to +∞, and is just a horizontal line, it doesn't go below 5, so one would think the range is -∞, 5.
however, from the 2nd subfunction if we use say x = -1.9999, 2x ---> 2(-1.9999) = -3.9998 , that's lower than 5, and that's the lowest the piece-wise goes, thus, the range comes from -∞ and goes as low as -3.9998, (-∞ ,-3.9998]
notice, we didn't use -2, because the 2nd subfunction 2x, doesn't include it in its range -2 < x ⩽ 3.
now, for 4) I used -1.9999 but your teacher might be expecting something like -1 or thereabouts, just an integer amount. But the idea being, the 2nd subfunction, does not include the -2.
The measure of arc XYZ is 296 degrees. What is the measure of angle XZW, the tangent-chord angle?
A: 296
B:148
C:116
D:206
Answers
Reflex angle XOZ = 296°
Obtuse angle XOZ = 360° - 296° = 64°
Triangle XOZ is an isosceles triangle.
∴ Angle OZX = (180° - 64°) / 2 = 58°
(Base angle of an isosceles triangle)
Angle OZW = 90°
(Tangent to circumference of circle)
Angle XZW = 90° + 58° = 148°
Answer is B.
If AB is the midsegment, find the value of x. Show your work.
Answers
3x-1=34/2
=17
3x =18, x =6
Which expression is right!!!!!! help me!!!!! Help!!!!
Answers
area of a triangle is 1/2 x base x height
c would be the base and x is the height
so 1/2cx is the expression needed
Which of the following steps could be used as a shortcut method to multiply 12 by 50
Answers
1. Compute 12*5
2. Add a zero at the end of the product
Another way (which is slightly longer):
1. Split 50 into 10*5
2. Multiply 12*5 to get 60
3. Multiply 60*10 to get 600
What is the sum of?
A. S=1.5
B.S=2
C.S=4.5
D.=8
Answers
∑4(0.5)ⁿ⁻¹
n=1
For n = 1 → 4(0.5)¹⁻¹ = 4(0.5)⁰ = 4(1) = 4
For n = 2 → 4(0.5)²⁻¹ = 4(0.5)¹ = 4(0.5) = 4(0.5)
For n = 3 → 4(0.5)³⁻¹ = 4(0.5)²
For n = 4 → 4(0.5)⁴⁻¹ = 4(0.5)³
We notice this is a geometric series with first term:
a=4 & r= 0.5
Since r<1, then the formula of the sum when n→∞ is:
Sum= a(1/1-r)
Sum = 4/(1-0.5)
Sum = 4/(1/2) = 4 x 2
∞
∑4(0.5)ⁿ⁻¹ = 8 (answer D)
n=1
Write the complex number in polar form. express the argument in degrees. 4i
a. 4(cos 0° + i sin 0°)
b. 4(cos 270° + i sin 270°)
c. 4(cos 90° + i sin 90°)
d. 4(cos 180° + i sin 180°)
Answers
The only way to solve these is to test each choice such that its final answer would be 4i. These are important equivalents to know:
sin 0° = 0 cos 0° =1
sin 90° =1 cos 90° =0
sin 180° =0 cos 180° = -1
sin 270° = -1 cos 270° = 0
Using these values, let's simplify each choise.
A. 4(1 + i (0)) = 4
B. 4(0 + i (-1)) = -4i
C. 4(0 + i (1)) = 4i
D. 4((-1) + i (0)) = -4
The answer is C.
Final answer:
The complex number 4i in polar form is 4(cos 90° + i sin 90°), which matches choice (c). The magnitude is 4, and the argument is 90° since 4i lies on the positive imaginary axis.
Explanation:
To convert the complex number 4i to polar form and express the argument in degrees, we should consider the general polar form of a complex number which is r(cos θ + i sin θ), where r is the magnitude (modulus) and θ is the argument of the complex number. The complex number 4i has a real part of 0 and an imaginary part of 4. Therefore, its magnitude is 4 and it lies on the positive imaginary axis. In the complex plane, this corresponds to an angle of 90° or 270° from the positive real axis. Since it is on the positive imaginary axis, the correct angle is 90°.
The correct polar form of the complex number 4i is 4(cos 90° + i sin 90°), which corresponds to choice (c).
A box with a volume of 40 cubic inches holds 10 balls. A box with a volume of 60 cubic inches holds 15 of the same kinds of balls. Assume the relationship is linear. Which equation models the relationship between the volume, x, and the number of balls y ?
A).y=0.25x+10
B).0.25x
C).y=4x
D).y=4x+60
Answers
(10, 40) and (15, 60). Fit these into the slope formula to find the slope of the line you are looking for:
[tex]m= \frac{60-40}{15-10} [/tex] and the slope is 4. Now use one of the points and the slope of 4 to solve for b, the y-intercept:
40 = 4(10) + b so b = 0. The equation of the line then is y = 4x + 0 or just
y = 4x
What is the common ratio in the sequence -27, 9, -3, 1....?
A. 3
B. -3
C. 1/3
D. -1/3
Answers
9/-27 = -1/3
to find the next term in a geometric sequence, u multiply by the common ratio....
-27 * -1/3 = -27/3 = 9
9 * -1/3 = -9/3 = -3
-3 * -1/3 = -3/-3 = 1
The area of the trapezoid is 40 square units.
What is the height of the trapezoid? __ Units
Answers
When you input 40 for A and 6 for a and 10 for b, then you should get 5
hope this helps:))
we know that
The area of a trapezoid is equal to
[tex]A=\frac{1}{2}(b1+b2)h[/tex]
where
b1 and b2 are the parallel bases of the trapezoid
h is the height of the trapezoid
In this problem we have
[tex]b1=6\ units\\b2=10\ units\\A=40\ units^{2}[/tex]
substitute in the formula
[tex]40=\frac{1}{2}(6+10)h[/tex]
Solve for h
[tex]40*2=16h[/tex]
[tex]h=80/16=5\ units[/tex]
therefore
the answer is
The height of the trapezoid is [tex]5\ units[/tex]
When 23 is subtracted from 4 times a certain number the result is 4
Answers
x = the 'certain number' we want to find
Then, we can formulate an equation:
4x - 23 = 4
Now, solve for x:
4x = 27
x = 27/4 = 6.25
Given,
4x - 23 = 4
4x = 27
x = [tex] \frac{27}{4} [/tex] = 6.75
Hence, the number is 6.75
HELPPPPPPPPPPP Why is the sum of a rational number and an irrational number rational? A. Because the product is always a non- terminating, non- repeating decimal. B. Because the product is always a fraction C. Because the product is always a negative number D. Because the product is always a repeating or a terminating decimal
Answers
Write equations for the vertical and horizontal lines passing through the point (8, 7).
Answers
that means x = 8 and y = 7.
The vertical line (// to y-axis) passing through A, will have always x = 8,
Then the equation of the vertical line is x = 8
The Horizontal line (// to x-axis) passing through A, will have always y = 7,
Then the equation of the Horizontal line is y = 7
A rectangular prism has a length of 8 feet, a width of 3 feet, and a height of 5 feet. What is the surface area of the rectangular prism?
Answers
surface area = 2(wl +hl+hw)
w=3
l=8
h=5
wl=3*8 =24
hl=5*8 =40
hw=5*3 =15
24+40+15 = 79
2*79 = 158 feet^2
The surface area of the rectangular prism is 158 square feet.
What is surface area?The surface area of any given object is the area or region occupied by the surface of the object.
Formula for finding the surface area of rectangular prism:Surface Area = 2{(h × l) + (h × w) +(l × w)]
Where,
l is the length of the rectangular prism
h is the height of the rectangular prism
w is the width of the rectangular prism
According to the given question
Length of the rectangular prism = 8 feet
width of the rectangular prism = 3feet
height of the rectangular prism = 5 feet.
Therefore,
the surface area of the rectangular prism = 2[(8 × 5)+ ( 5 × 3) + ( 8 × 3)]
surface area of rectangular prism = 2[ 40 +15 +24} = 158 square feet.
Hence, the surface area of the rectangular prism is 158 square feet.
Learn more about the surface area of rectangular prism here:
https://brainly.com/question/14987814
#SPJ2
The highest temperature recorded in the town of Westgate this summer was 180°F. Last winter, the lowest temperature recorded was -15°F.
Find the difference between these two extreme temperatures.
Answers
Good luck and have nice day.
What is the solution to the equation 1 over 2 n = 8?
n = 4
n = 6
n = 10
n = 16
Answers
Explanation:
______________________________________________
(1/2) n = 8 ;
Multiply EACH side of the equation by "2" ; to "cancel out" the "(1/2)" on the left-hand-side of the equation; and to isolate "n" on one side of the equation; and to solve for "n" ;
______________________________________________
2* (1/2) n = 2 * 8 ;
______________________________________________
to get:
______________________________________________
n = 16 ; which is: Answer choice: [D] .
______________________________________________
Another name for a dummy variable is a binary variable.a.Trueb.False
Answers
a.True
An investment of $200 increases at a rate of 9.5% per year. What is the growth factor, b?
Answers
The standard form for rate equation is:
F = P (1 + r)^n
or
F = P b^n
So b = 1 + r
In this case, r is given as 9.5% or 0.095. Therefore:
b = 1 + 0.095
b = 1.095
The growth factor is 1.095.
Write an appropriate direct variation equation if y = 27 when x = 9
Answers
27 = k*9
k = 27/9 = 3
required variation is y = 3x
Answer: y=3x
Step-by-step explanation:
If f(x) = -2[x] + 8, what is f(-1.8) (PLS HELP ASAP)
Answers
in this the output is the closest right side integral value.
-2[-1.8]+8
=-2×-1+8
=2+8
=10
Answer:
option c)10
Step-by-step explanation:
Given is a least integer function as
[tex]f(x) =-2[x]+8[/tex]
We are to find out the function value when x = -1.8
Substitute for x the value -1.8
we have
[tex]f(x) =-2[-1.8]+8\\[/tex]
-1.8 has the integer -1 to the left of it.
Hence we get
[tex]f(x) =-2[-1]+8=10[/tex]
Hence answer is option c)10
An equilateral triangle has sides of length s. If each side is increased by 3, represent the new perimeter in terms of s.
Answers
= 3s + 9