Answer:
The second term is 12.6
Step-by-step explanation:
Let us solve the question
∵ The recursive formula f(n) = 0.4 ⋅ f(n − 1) + 11
∵ f(1) = 4
→ To find the 2nd term, sunstitute n by 2
∵ n = 2
∴ f(2) = 0.4 · f(2 - 1) + 11
∴ f(2) = 0.4 · f(1) + 11
→ Substitute f(1) by 4
∵ f(2) = 0.4 · 4 + 11
→ Simplify the formula
∴ f(2) = 1.6 + 11
∴ f(2) = 12.6
∴ The second term is 12.6
A parachutist's rate during a free fall reaches kilometers per hour. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during seconds of free fall? Do not round your answers.
Complete question :
A parachutist's speed during a free fall reaches 162 kilometers per hour. What is this speed in meters per second? At this speed, how many meters will the parachutist fall during 20 seconds of free fall? Do not round your answers.
Answer:
45 m/s ; 900 meters
Step-by-step explanation:
Given that :
Speed = 162 kilometers per hour ;
The speed in meters per second can be found by:
162 km/hr = (162 * 1000)m / (60 * 60) second
162 km/hr = 162000m / 3600 s
162 km/hr = 45 m/s
At this speed, how many meters will the parachutist fall during 20 seconds of free fall?
Speed of free fall = 45m /s
Distance in meters after 20 seconds :
(45 m/s * 20s) = 900 meters
Is this a square root graph?
Is this graph a reflection of its parent graph?
this graph shifted _
The equation to this graph would transform the parent function f(x) to _
Answer:
Thus, [tex]y=-\sqrt{x+3}[/tex] represents the transformed graph on the attached figure, which is a translated square root graph i.e. vertically reflected across the y-axis and also horizontally translated or shifted 3 units to the left.
Step-by-step explanation:
Consider the function
y = f(x)
The rule of horizontal translation
y = f(x-h)
When 'h' is positive, the function is shifted to the right.
When 'h' is negative, the function is shifted to the left.
The rule of implying vertical reflection across the x-axis
y = -f(x)
Applying the rule:
We know that the square root function is
[tex]y=\sqrt{x}[/tex]
We know that if the graph would be reflected across the x-axis, then
[tex]y=-\sqrt{x}[/tex]
We know that is horizontally translated or shifted 3 units to the left, it implies +
3 inside the radical implies. Then the transformed function becomes .
Please check the attached diagram. From the diagram,
The blue graph shows the parent function [tex]y=\sqrt{x}[/tex].The red graph shows the transformed function i.e. vertically reflected across the y-axis and also horizontally translated or shifted 3 units to the left.Thus, [tex]y=-\sqrt{x+3}[/tex] represents the transformed graph on the attached figure, which is a translated square root graph i.e. vertically reflected across the y-axis and also horizontally translated or shifted 3 units to the left.
if x = 1/2 when y = 36 what id x when y = 144
I need help!!! pls.. help me to solve this (urgent) plssss...this is my last question:(
Answer:
0.5
Step-by-step explanation:
Distance of OL = 0 - (-5)
= 0 + 5
= 5
Distance of OK = 2(5)
= 10
Gradient = [tex]\frac{rise}{run}[/tex]
= [tex]\frac{0-(-5)}{10-0}[/tex]
= [tex]\frac{5}{10}[/tex]
= 0.5
What is the value of 12+6/N
when N = 2?
A. 6
B. 9
C. 12
D. 18
Find the sum
(4 - n) + 2(-5n + 3)
Answer:
−11n + 10
Step-by-step explanation:
(4-n) + 2 (-5n+3)
4 - n + -10n + 6
-11n+4+6
The answer:-11n+10
Evaluate the polynomial for the given value of x.
- 4x5 - 5x4 – 3x3 - x? for x = -2
A. 97
B. 68
C. 64
D. 63
Answer:
I might be wrong but I think it is A
80 middle-school students went on a field trip to watch a performance of Alice In Wonderland. When the teacher took a survey, 70% of the students responded that they enjoyed the play. About how many students enjoyed the play?
Answer:
56 students
Step-by-step explanation:
Because there are 80 students and only 70% enjoyed it, 70% is equal to 0.7 so you would multiply 80 by 0.7.
dilation with a scale factor of 2 centered at (1 2)
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, but I would show how to solve.
Transformation is the movement of a point from its initial location to a new location. Types of transformation is reflection, translation, rotation and dilation.
Dilation is the enlargement or reduction of the size of an object by a factor.
If a point A(x, y) is dilated by a factor k with a center of dilation at (a, b), then the new point is:
A'(x, y) = [k(x - a) + a, k(y - b) + b]
Let us assume that point A(2, 0) dilation with a scale factor of 2 centered at (1, 2). Hence the new point is:
A'(x, y) = [2(2 - 1) + 1, 2(0 - 2) + 2] = (3, -2)
I NEED HELP ASAP ! PLS!
Answer:
x = 106°
Step-by-step explanation:
sum of interior opposite angles of a triangular is equal to a exterior angle
= x +22= 40 +88
= x = 128- 22
x = 106 °
hope this answers will be helpful for you and plzzz mark my answer as brainlist plzzzz vote me also.....
The diameter of a circle is 22 miles. What is the circle's area? Use 3.14 for
Answer:
379.94
Step-by-step explanation:
area of a circle is, pi times radius powered by 2, with this in mind-
r= 11, pi=3.14
3.14(11)^2
3.14(121)
=379.94
7(12b + 9) - b what is the awnser
Answer:
12b + 14p - 7
Step-by-step explanation:
It is already simplified.
can i get brainlist too
Choose the correct formula for the function h. HELP NEEDED ASAP
Answer:
The answer is C.
Step-by-step explanation:
h(x) = 3x + 2 - 1
Katie is purchasing plates and mugs for her house.
She would like to buy at least 8 items. Plates cost
$8 each and the mugs cost $7 each, and she plans
to spend no more than $112. Write a system to
model the situation and then solve.
Step-by-step explanation:
Plate: $8 each
Mug: $7 each
Spend Limit: $112
Items Wanted: 8
Considering she wants eight items, she can split that in half and buy four of each item, plate and mug.
8 * 4 = 32
$32 for 4 plates.
7 * 4 = 28
$28 for 4 mugs.
However, if she wanted to spend all the money, she could buy a few more of each item.
A conductor is mapping a trip and records the distance the train travels over certain time intervals. The train travels at a constant speed. What is its speed?
Answer:
Speed = 25miles per hour
Step-by-step explanation:
Represent the time with x and the distance with y
So, from the attachment; we have the following details:
[tex](x_1,y_1) = (0.5,12.5)[/tex]
[tex](x_2,y_2) = (1,25)[/tex]
[tex](x_3,y_3) = (1.5,37.5)[/tex]
Required
Determine the constant speed
Because the train travelled at a constant speed, the speed can be calculated using:
[tex]Speed = \frac{y_3}{x_3}=\frac{y_2}{x_2}=\frac{y_1}{x_1}[/tex]
[tex]Speed = \frac{12.5}{0.5}=\frac{25}{1}=\frac{37.5}{1.5}[/tex]
[tex]Speed = 25=25=25[/tex]
Notice that the result of each division is the same.
Hence, the constant speed is:
Speed = 25miles per hour
Can someone write an equation out of X= -4 Y= -8 Z= 3
Answer:
2y + 4z = x
Step-by-step explanation:
Given
[tex]x = -4[/tex]
[tex]y = -8[/tex]
[tex]z = 3[/tex]
Required
Write an equation that which is true for the above parameters
This question will be answered using trial by error method and the solution is not limited to one equation.
One equation that matches the values above is:.
[tex]2y + 4z = x[/tex]
To check:
Substitute the values of x, y and z in the above equation.
[tex]2y + 4z = x[/tex]
[tex]2 * -8 + 4 * 3 = -4[/tex]
[tex]-16 + 12 = -4[/tex]
[tex]-4 = -4[/tex]
Hence,
Because both sides of the equation are one and the same (-4), [tex]2y + 4z = x[/tex] is true for the above values of x, y and z.
BRAINIST & 20 POINTS
*random answers will be reported*
Answer:
(0, 13)
Step-by-step explanation:
The midpoint is halfway between the line segment. First find the distance from the starting point to the midpoint.
2-1 = 1. So Since the midpoint is behind the start point, we are going backwards (moving to the left on the x axis).
So 1 space left from the midpoint is 1-1=0.
For y, the distance between the start and mid is 6 - -1 = 6+1 = 7 spaces. Then add 7 spaces to the midpoint value of 6, so 7+6 = 13. We moved upwards on the y axis.
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PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPP
Your Explanation:
Answer:
No because if you set them equivelent to each other you get 12=0
Step-by-step explanation:
1/4(12x + 24) - 9x = -6(x + 1)
3x + 6 - 9x = -6x - 6
-6x + 6 = -6x - 6
12 = 0x
I hope this helps
On a unit circle, the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distance from the y-axis to the same point. What is sin of theta
Answer:
2/√5
Step-by-step explanation:
A unit circle is a circle of unit radius. This means that the radius of a unit circle is 1.
Let a represent the horizontal distance. Therefore the vertical distance = twice the horizontal distance = 2a
We can get the hypotenuse using Pythagoras theorem:
hypotenuse² = a² + (2a)²
hypotenuse² = a² + 4a²
hypotenuse² = 5a²
hypotenuse = √5a²
hypotenuse = a√5
sin(θ) = opposite / hypotenuse
sin(θ) = vertical distance / hypotenuse
sin(θ) = 2a / a√5
sin(θ) = 2/√5
A train covers the distance between two cities A and B at 70km/h during certain time. If it goes 10km/h faster, it will cover the same distance in one hour less. Find the distance between the two cities and the time it takes to do the first trip
Answer:
distance between 2 cities is 490km
time taken for first trip is 7 hours
Step-by-step explanation:
speed. time
70 x
10. 1
= 10x =70*1
x=70/10
=7 hours
distance= speed*time
=70*7
=490km
The residents of a city voted on wether to raise property taxes. The ratio of yes votes to no votes was 8 to 5. If there was 6856 yes votes, what was the total number of votes
Answer:
The total number of votes cast in the election was 11,141.
Step-by-step explanation:
To determine the number of negative votes in the voting, taking into account that the ratio of votes between positive and negative is 8 to 5 and that there were 6,856 positive votes, it is necessary to perform the following calculation:
6.856 / 8 x 5 = X
857 x 5 = X
4.285 = X
Therefore, there were 4,285 negative votes in the election. So, since 4,285 + 6,856 equals 11,141, the total number of votes cast in the election was 11,141.
Find the third side in simplest radical form: √92 6
Mrs. Garcia's math test is worth 50 points. If you answer all the questions and the extra credit correctly, you can score 55 points. How do you represent this situation as a fraction, a decimal, and a percent?
Answer:
Divide the percentage by 100 to get a decimal number. Use that number as the numerator (top) of a fraction. Put a 1 in the denominator (bottom) of the fraction. Convert the decimal to a whole number: Count how many places are to the right of the decimal.
While touring the city, Bernie
buys lunch for his family from a
food truck. He purchases one
taco for $2.75 and four
cheeseburgers. If he spent a
total of $23.75, how much was
each cheeseburger?
Answer:
$5.25
Step-by-step explanation:
23.75-2.75= is the price of four cheeseburgers, which is 21. 21/4 is the price of one. So its 5.25
Solve for all values of c in the simplest form |14-c|=15
Step-by-step explanation:
|14- c| = 15
=> 14 - c = 15 or 14 - c = -15
=> c = -1 or c = 29.
graph the line with the equation y= 1/2x -1
Answer:
Start at the y-intercept, (0,-1). Next, go up one and to the right 2, plot a point. Keep going up one and to the right 2 until you reach the end of the graph. Next, go back to your y-intercept. Go down one and to the left 2. Keep going down and to the left until you reach the end of the graph. Connect all points.
Step-by-step explanation:
Start at the y-intercept, (0,-1). Next, go up one and to the right 2, plot a point. Keep going up one and to the right 2 until you reach the end of the graph. Next, go back to your y-intercept. Go down one and to the left 2. Keep going down and to the left until you reach the end of the graph. Connect all points.
The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
The coordinates that we can plot on the graph are:
(1, -1/2), (2, 0), (3, 1/2), and (4, 1)
The graph is given below
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The equation of a line y = (1/2)x - 1
We will find some coordinates from the equation.
When x = 1,
y = 1/2 - 1
y = -1/2
When x = 2,
y = 1/2 x 2 - 1
y = 1 - 1 = 0
When x = 3,
y = 1/2 x 3 - 1
y = 3/2 - 1
y = 1/2
When x = 4.
y = 4/2 - 1
y = 2 - 1
y = 1
The coordinates that we can plot on the graph are:
(1, -1/2), (2, 0), (3, 1/2), and (4, 1)
The graph is given below
Thus,
The coordinates that we can plot on the graph are:
(1, -1/2), (2, 0), (3, 1/2), and (4, 1)
The graph is given below
Learn more about coordinates here:
https://brainly.com/question/13118993
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How do you find x when y =2
Answer:
u got to let us see the question too... we can't find x just like that-
can someone help me.
Answer:
D
Step-by-step explanation:
A student uses 1/2 quart of paint in 3/4 hour. What is her usage rate in quarts per hour?
ASWER CHOICES
38 quart per hour
23 quart per hour
34 quart per hour
32 quarts per hour
Answer:
1 1/2 quarts per hour
Step-by-step explanation:
To do this you would divide 3/4 by 1/2 to do divide you flip 1/2 to 2/1 then multiply.
3/4*2/1=6/4 which is also equal to 1.5 quarts of paint per hour.
Evaluate if y=4 and z= -2.
7y+z= ?
Answer:
i hope this helps you
7.4+(-2)
28-2
26
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
Plug 4 in for y and -2 in for z giving you: 7(4)+(-2). 7*4=28 giving you 28+(-2). the portion +(-2) is the same as -2. This gives you 28-2 which is 26.