Answer:
10
Step-by-step explanation:
f(x)=f(6) means x=6
Now, as 6>3 we use the formula for x>3
Substituting 6 into 1/2x+7 we get,
1/2(6)+7
=3+7
=10
The value of function at x= 6 is 10.
What is Piecewise function?A piecewise-defined function in mathematics is one that is composed of several smaller functions, each of which has a certain interval of the domain it applies to. Instead of being a property of the function itself, piecewise definition is a means to express the function.
We have,
f(x) = 3x -1 , x<3
1/2x + 7, x>3
Now, for x = 6 which falls in condition x>3
f(6) = 1/2(6)+ 7
f(6) = 3 + 7
f(6)= 10
Learn more about Piecewise function here:
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Question 1
Question 2
For a spherical object to just barely block the sun from your view, the ratio of the
length of the object's conical shadow, measured from the object to your eye, to
the object's diameter must be about 108: 1. How far in feet from your eye would a
tennis ball with an approximate diameter of 2.7 inches need to be to just block out
the sun? Round your answer to the nearest tenth.
Question 3
O 3.3
Question 4
O 24.3
0 40.0
0 291.6
The tennis ball's distance from the eye can be determined by using similar triangles.
The distance of the tennis ball from the eye to block out the Sun is; 24.3 feet.
Reasons:
The given parameter are;
The ratio of the shadow to the objects diameter = 108 : 1
[tex]\dfrac{108}{1} = \dfrac{Distance \ of \ tennis \ ball}{2.7}[/tex]
The distance of the tennis ball from the eye = 108 × 2.7 in. = 291.6 in.
291.6 inches = 24.3 feet
The distance of the tennis ball from the eye to block out the Sun is 24.3 feet.
Learn more here:
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It takes 2 hours to travel 360 miles on a plane. At this rate, how many miles does the plane travel in 4 hours?
Step-by-step explanation:
720
Answer:
720
Step-by-step explanation:
360 divided by 2 is 180
1 hour takes 180 miles
180 times 4 gives you how much it takes for 4 hours
answer is 720 miles
Kiera pays $1.95 per song
she downloads.
Answer:
1 song = $1.95
2 songs = $3.90
3 songs= $5.85
4 songs= $7.80
Explanation:
it's simple multiplying
What happens if you subtract the two equations and solve for S5? Can you use this information to come up with a way to find any geometric series Sn in the form ∑an-1bn-1?
Step-by-step explanation:
¿Puedes decirnos las ecuaciones?
On a map, the scale is 1 inch=125 miles. What is the actual distance between two cities if the map distance is 4 inches?
Find the cost per visit to the nearest cent: Health and Heart Club, $259 per year, 3 visits per week.
$7.19
$1.66
$3.32
$156
Answer: The answer is A $1.66
Step-by-step explanation: We have been given that Health and Heart Club charges $259 per year. A person has 3 visits per week. We are asked to find the cost of per visit to Health and Heart Club.We know that there are 52 weeks in one year. So total visits in one year would be 3 times 52 that 156 visits.
Now, we will divide total cost by 156 to find cost per visit.
Cost per visit = $1.660256
Rounding to nearest hundredths, we will get: Cost per visit = $1.66
Therefore, the cost per visit is $1.66 and option 'a' is the correct choice.
Hope this helps everyone that asked this question lol!
Use the scores in the box. What is the range? 21 25 25 26 19 24 30 21 30 25 28 25 17 17 25 17 28 23 28 21 20 25 19 24 21
Answer:
The range is 13.
Step-by-step explanation:
The definition of the range is to subtract the largest number from the smallest number. Looking at this set of numbers, the largest number is 30, and the smallest number is 17. When you subtract 30 - 17 you end up with 13.
Hope This helped :)
Answer:
13
Step-by-step explanation:
what is the slope of the line // will give lots of points and brainliest
Answer:
1/2
Step-by-step explanation:
It usually works well to compute the slope from coordinates where the graph crosses grid line intersections. We can identify two of those as ...
(-1, 3) and (1, 4)
The slope formula tells you the slope is ...
m = (y2 -y1)/(x2 -x1)
m = (4 -3)/(1 -(-1)) = 1/2
The slope of the line is 1/2.
__
Additional comment
The y-intercept is 3 1/2.
An equation for the line could be ...
y = 1/2x + 3 1/2 . . . slope-intercept form
x -2y = -7 . . . . . . . . standard form
Which is the graph of the linear inequality
y ≥ - x - 3
Answer:
See answer below.
Step-by-step explanation:
Find three ordered pairs for the graph y > -x - 3
x 0 5 -3
y -3 -8 0
No graphs to pick from! You did not add the picture.
However, the graph is a solid line with points (0, -3), (5, -8), and (-3, 0) on it and for the > shaded the region above the line.
Which table shows a proportional relationship between x and y
X
Answer:
The second one from the top
Step-by-step explanation:
This table shows a proportional relationship between x and y because when y is multiplied by 7, we get x.
(or when x is divided by 7 we get y, my thoughts first go to the multiplication)
Hope this helps, have a nice day! :D
Does anyone know this?
A trigonometric graph has the equation y=2cos2∅. State the amplitude of this graph?
Answer:
amplitude = 2
Step-by-step explanation:
Given
y = a cosbx
amplitude = | a | , period = [tex]\frac{2\pi }{b}[/tex]
y = 2cos2∅
with amplitude = | 2 | = 2
Answer:
[tex]\displaystyle 2[/tex]
Step-by-step explanation:
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A|[/tex]
With the above information, you should now tell what the amplitude value is.
I am joyous to assist you at any time.
At the basketball game, Leo scored points in 30% of his attempts. Which of the following statements is true?
A- Leo scored points in more than 1/3 of his attempts.
B- Leo scored points in 1/4 of his attempts.
C- Leo scored points in 3/10 of his attempts,
D- Leo scored points in less than 1/6 of his attempts.
THIS IS FOR A TEST, PLEASE HELP
Answer:
C. Leo scored points in 3/10 of his attempts
Step-by-step explanation:
30% is 30/100
Which can simplify to
3/10
the time taken by 23 students to complete a worksheet
Addie's cell phone bill was $72.40. Her basic monthly plan is $62.00 which
does not include sending picture messages.
Addie did send picture messages last month and she was charged $0.20 for
each picture message.
How many picture messages did Addie send last month?
For the line and point on the picture, find a perpendicular line, through the given point. please look at the picture to see the point and line and answer choices.
Answer:
y = - 7
Step-by-step explanation:
If the ratio of boys to girls is 2:7 and there are 250 more girls then how many boys are there?
Answer:
there are 7x girls, so 7x = 2x+250 5x=250
Step-by-step explanation:
She spent $42.15 and had more than $20 left. Write an inequality using x to best represent the situation.
Answer
y≥20x-42.15
Step-by-step explanation:
Key Terms:
greater than or equal to = more than
spent = subtraction
inequality = y ± mx + b
PLS BRAINLIEST
Given the point (5, 6) and the slope of 5, find y when x = 21.
Answer:
y = 86
Step-by-step explanation:
We know the slope is 5 so we can write our equation like this:
y = 5x + b
Since we know that (5, 6) is on our equation, we can substitute it into our equation:
6 = 5(5) + b
b = 6-25 = -19
Now we know our equation is y = 5x - 19
Next, we plug in 21 for x to find our y-value:
y = 5(21)-19 = 105-19 = 86
Write the slope intercept form of the equation of each lie, given the slope and y-intercept.
.1) slope=4/3, y-intercept=-5
.2) slope =-5, y-intercept =1.
Answer:
1.) y = 4/3x + (-5)
2.) y = -5x + 1
What should you consider when you are thinking of buying or leasing a car?
- How long it will take to fill out paperwork.
- How pretty the car is.
✅You financial situation.
- How fast the car is.
Answer:
Your financial situation.
Step-by-step explanation:
a rental truck has a cargo capacity of 96 ft ^3 a ft pipe just fits resting diagonally on the floor of the truck if the cargo space is 8ft high, find the dimensions of the truck
The dimension of the truck is 8ft by 6t by 2ft
The volume of the rental cargo is expressed according to the formula;
V = lwh
l is the length of the box
w is the width
h is the height
Given the following parameters
V = 96ft^3
h = 8ft
Substitute into the formula
96 = 8lw
lw = 96/8
lw = 12
The other dimensions of the tuck will be 2ft and 6ft respectively
Hence the dimension of the truck is 8ft by 6t by 2ft
Learn more here: https://brainly.com/question/21214343
What is the slope of the line on the graph?
Answer:
6/1 or just 6
Step-by-step explanation:
Answer:
6 over 1 is the slope
Step-by-step explanation:
to find the slope of a line you have to find two points on the line and do rise over run
so for example for this problem I looked at the tho points and starting from the bottom one I went up (rise) six and over (run) one and got 6 over 1
your welcome : )
a car traveling 1000 miles in 2 hours has a unit rate of *blank* miles per hour
25
50
200
( ill give brainly to whoever answer first w an explanation)
Answer:
50
Step-by-step explanation:
Looks like a typo in the question
To get the unit rate, divide the miles by the hours
Unit rates
1000 miles in 2 hours = 1000/2 = 500
I'm guessing you meant 100 miles not 1000 miles
100 miles in 2 hours = 100/2 = 50
HELP PLS I need the answer in 2 days when my homework is due!!
Answer:
123
Step-by-step explanation:
First of all, you have to find the total amount of people surveyed, so you add 82+105+141, which would be 328. Then you have to find 37.5% of 328, which is 123 only childs that have no pets.
Can anyone help me ASAP!
Answer:
11,12
Step-by-step explanation:
when calculated, the square root is 11.7473401245, which is between the two integers, 11 and 12!
Hope this helps!
help asap help asap for brainlist
Answer:
The first option
Step-by-step explanation:
Graph: y–3=1/2(x+2)
Answer:
Step-by-step explanation:
Solve the y
y -3 = 1/2(x + 2)
y = 1/2(x + 2) + 3 Add
Pick points that you wish to substitute for x values.
x = 0 x = 2 x = 4
y = 1/2(x + 2) + 3 y = 1/2(x + 2) + 3 y = 1/2(x + 2) + 3
y = 1/2(0 + 2) + 3 y = 1/2(2 + 2) + 3 y = 1/2(4 + 2) + 3
y = 1/2(2) + 3 y = 1/2(4) + 3 y = 1/2(6) + 3
y = 1 + 3 y = 2 + 3 y = 3 + 3
y = 4 y = 5 y = 6
Locate the following point on graph (x, y); (0, 4), (2, 5), (4, 6)
Find the slope of the line that passes through (-90, 99) and (-91, 25).
Answer:
I believe the slope is 74
Step-by-step explanation:
m=74
a b and c are positive integers a:b
=3:8 and b:c=6:11
Answer:
a= 18; b= 48; c= 88. Please note that even half these value work (9, 24, 44) or any multiple of these (9k, 24k, 44k, with k a positive integer)
Step-by-step explanation:
Let's go easy, and pick b to be 6x8, to make things easy for us. Maybe even 6x4 could work, 12x8 will totally work, but this is the simplest choice.
Now on the first proportion [tex]a:48=3:8 \rightarrow 8a = 48\times3 \rightarrow a = 18[/tex]
From the second proportion [tex]48:c=6:11 \rightarrow 6c = 48\times 11 \rightarrow c = 88[/tex]
