Answer:
Mode: 42 Range: 9
Step-by-step explanation:
First, I used trial and error to find the value of x which I found out was 2. Next, I found out how many people were in each weight category. Then, I put the numbers in order from least to greatest which gave me 33,33,35,35,35,37,37,37,37,39,39,39,39,42,42,42,42,42. After that, I found the number that showed up the most in this set of data which is the mode. Finally, I subtracted the smallest number(33) from the greatest number(42) and got 9 which is the range.
The coordinates of point T are (0,3). The midpoint of ST is (2,−2). Find the coordinates of point S. The other endpoint is nothing. (Type an ordered pair.)
Answer:
The coordinates of point S are (4,-7).
Step-by-step explanation:
Given the locations of points S and T, the midpoint coordinates are set by midpoint formulas:
[tex]\bar x = \frac{x_{S}+x_{T}}{2}[/tex] and [tex]\bar y = \frac{y_{S}+y_{T}}{2}[/tex]
Where:
[tex]x_{S}[/tex], [tex]x_{T}[/tex] - x-Components of S and T.
[tex]y_{S}[/tex], [tex]y_{T}[/tex] - y-Components of S and T.
The coordinates of S are cleared:
[tex]x_{S} = 2\cdot \bar x -x_{T}[/tex]
[tex]y_{S} = 2\cdot \bar y - y_{T}[/tex]
If [tex]\bar x = 2[/tex], [tex]\bar y = -2[/tex], [tex]x_{T} = 0[/tex] and [tex]y_{T} = 3[/tex], the equations are now solved:
[tex]x_{S} = 2\cdot (2) -0[/tex]
[tex]x_{S} = 4[/tex]
[tex]y_{S} = 2\cdot (-2)-3[/tex]
[tex]y_{S} = -7[/tex]
The coordinates of point S are (4,-7).
If the tangent line to y = f(x) at (5, 2) passes through the point (0, 1), find f(5) and f '(5).
Answer:
f(5) = 2
f'(5) = [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Tangent line to a function y = f(x) on a point (5, 2) passes through two points (5, 2) and (0, 1)
Let the equation of the line is,
y - y' = m(x - x')
Slope of a line passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{2-1}{5-0}[/tex]
= [tex]\frac{1}{5}[/tex]
Therefore, equation of the line passing through (0, 1) and slope = [tex]\frac{1}{5}[/tex] will be,
y - 1 = [tex]\frac{1}{5}(x-0)[/tex]
y = [tex]\frac{x}{5}+1[/tex]
Function representing equation will be,
f(x) = [tex]\frac{x}{5}+1[/tex]
At x = 5,
f(5) = [tex]\frac{5}{5}+1[/tex]
= 1 + 1
= 2
f(5) = 2
f'(x) = [tex]\frac{d}{dx}(\frac{x}{5}+1)[/tex]
= [tex]\frac{1}{5}[/tex]
Therefore, f'(5) = [tex]\frac{1}{5}[/tex] will be the answer.
Solve: -1/3 (5x +3) < 14
x > - 9
x ∈ ( - 9 : + oo)
Step-by-step explanation:[tex]-\frac{1}{3}(5x+3)<14\\ \\-(5x+3)<42\\\\-5x-3<42\\\\-3-42<5x\\\\-45<5x\\\\5x>-45\\\\x>-9\\\\[/tex]
x∈ ( - 9 ; + oo)
Answer:
x > -9
Step-by-step explanation:
you want to multiply both sides of the inequality by 3/1 to make
-1/1 (5x+3) < 42/1
any expression divided by 1 remains the same
-1 (5x+3) < 42/1 ⇒ - (5x+3) < 42/1 ⇒ - (5x+3) < 42
Where there is a - in front of an expression in parentheses, change the sign of each term in the expression
-5x -3 <42
Then move the constant to the right-hand side and change its sign
-5 < 42 + 3
Add the numbers and you'll get
-5x < 45
Divide both sides of the inequality by -5 and flip the inequality sign and your answer would be
x > -9
If the bird is directly above the fish how far apart are they
Answer:
they are parallely far apart
covert 1.3902 to centiliters
Answer:
`13.902
Step-by-step explanation:
AC has endpoints
A(3,7) and C(6,11).
Find AB if B is the
midpoint of AC.
Answer:
d=2.5
Step-by-step explanation:
first find the coordinate of B(mid point of AC):A(3,7) C(6,11)
d=√(6-3)²+(11-7)²
d=√3²+4²
d=√9+16=√25=5
since B is the mid point : d/2=5/2=2.5
Another way :B(x1+x2/2 , y1+y2/2) , x1=3 , x2=6, y1=7, y2=11
B(9/2,18/2)
B(9/2,9)
Find AB : the length or distance between 2 points:
d=√(x2-x1)²+(y2-y1)²
d=√(3-9/2)²+(7-9)²
d=√(-3/2)²+(-2)²
d=√1.5²+4
d=√6.25
d=2.5
75% as a fraction in simplest form
Answer:
3/4
Step-by-step explanation:
Which function has an inverse that is also a
function?
{(-1, -2), (0, 4), (1, 3), (5, 14), (7,4)}
{(-1, 2), (0, 4), (1, 5), (5, 4), (7, 2)}
{(-1, 3), (0, 4), (1, 14), (5, 6), (7, 2)}
{(-1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}
Given:
Different functions in the ordered pairs.
To find:
The function which has an inverse that is also a function.
Solution:
A relation is a function, if there exist unique output for each input.
The inverse of a function is a function, if there exist unique input for each output in the function.
It means, the inverse of a function is a function if each y value has unique x-value.
In {(-1, -2), (0, 4), (1, 3), (5, 14), (7,4)},
For y=4 we have x=0 and x=7, therefore, the inverse of this function is not a function.
In {(-1, 2), (0, 4), (1, 5), (5, 4), (7, 2)} ,
For y=4 we have x=0 and x=5, therefore, the inverse of this function is not a function.
In {(-1, 3), (0, 4), (1, 14), (5, 6), (7, 2)} ,
For all y value we have unique x values, therefore, the inverse of this function is a function.
In {(-1, 4), (0, 4), (1, 2), (5, 3), (7, 1)},
For y=4 we have x=-1 and x=0, therefore, the inverse of this function is not a function.
Therefore, the correct option is C.
Answer:C
Step-by-step explanation:
is the following a function? why or why not
Answer:
No
Step-by-step explanation:
Functions can only have 1 range per domain (Only 1 Y output per X). Another method is by using the vertical line test, and in this case it fails because more than 2 points are on the same vertical line (x = 1 and x = 2)
Show all work
14 +18 - 2 x 18 -7
Answer:
-11
Step-by-step explanation:
BIDMAS
(BRACKETS, INDICES, DIVISION, MULTIPLICATION, ADDITION, SUBTRACTION)
14 + 18 - 2 x 18 -7
the first thing we do is the multiplication (since there is no division in this question)
14 +18 − (2)(18) −7
14 + 18 - (36) - 7
32 - 36 - 7 = -11
A cone has a diameter of 7 feet and a height of 4 feet. what is the exact volume of the cone?
Answer:
The answer is 153.86
Step-by-step explanation:
A= 3.14 x12.25>2
A= 38.465 x 4
A= 153.86
A train of length 180 m approaches a tunnel of length 620 m.
How long will it take the train to pass completely through the
tunnel at a speed of 54 km/h?
124.4 divided by 4, idk they want more characters even tho it’s REALLY SIMPLE
Answer:
31.1
Step-by-step explanation:
Answer:
31.1
Step-by-step explanation:
124.4 / 4
= 0.1 * (1244/4)
= 0.1 * 311
= 31.1.
the football team lost 8 years on every play for 5 plays which intergers shows the total number of yards the team has lost
Answer:
-40
Step-by-step explanation:
The team won 16 games and lost 8 games.
What is subtraction?
Subtraction is one of the four basic arithmetic operations that is used to find the difference.
A football team won 8 more games than they lost. They played 24 games in the season. How many games were won and how many were lost?
The team lost n games.
The team won 8 more games than it lost, so it won n + 8.
The total number of games the team played was n + n + 8, or 2n + 8.
The team played a total of 24 games, so
2n + 8 = 24
We now solve for n.
2n + 8 = 24
2n = 16
n = 8 (lost games)
n + 8 = 8 + 8 = 16 (won games)
Hence, The team won 16 games and lost 8 games.
Learn more about subtraction here;
https://brainly.com/question/11328248
#SPJ2
[tex] |7 + 8x| > 5[/tex]
I've tried solving this inequality multiple times and I just can't get it right. I don't know what I'm doing wrong. please help
The absolute value is defined as
[tex]|x|=\begin{cases}x&\text{if }x\ge0\\-x&\text{if }x<0\end{cases}[/tex]
So for example, if x = 3, then |x| = |3| = 3, since 3 is positive. On the other hand, if x = -5, then |x| = |-5| = -(-5) = 5, since -5 is negative. The absolute value is always positive.
For the inequality |7 + 8x| > 5, you consider the two cases where the argument to the absolute value (the expression you find inside the bars) is either positive or negative.
• If 7 + 8x ≥ 0, then |7 + 8x| = 7 + 8x, so that
[tex]|7+8x|>5\implies 7+8x>5 \implies 8x>-2 \implies x>-\dfrac14[/tex]
• Otherwise, if 7 + 8x < 0, then |7 + 8x| = -(7 + 8x), so that
[tex]|7+8x|>5\implies-(7+8x)>5\implies7+8x<-5\implies8x<-12\implies x<-\dfrac32[/tex]
The solution to the inequality is the union of these two intervals.
PLEASE HELP QUICK!!!
find the volume of the cone. either enter an exact answer in terms of pi or use 3.14 for pi
The formula for the volume of a cone is [tex]V=\pi r^2\frac{h}{3}[/tex]
Plug in the values we know.
[tex]V=\pi (5)^2\frac{6}{3}[/tex]
[tex]V=\pi*25*2[/tex]
[tex]V=50\pi[/tex]
[tex]V=157[/tex]
^ If 3.14 was used for [tex]\pi[/tex]
Hope this helps.
頑張って!
A taxi company charges $5 to ride in the cab plus an additional $0.35 for each mile driven. If Jose has $45 and he needs to take two taxi rides, how many miles is he able to go without running out of money?
Answer:
100 miles
Step-by-step explanation:
2 rides = 10$
3.5$=10 miles x 10=35$=100 miles
Which best expression is the best estimate of the product of 7/8 and 8 1/10
A.0•8
B.1•10
C.7•8
D.1•8
Answer:
D. 1x8
Step-by-step explanation:
7/8 rounded is 1. And 8 and 1/10 rounder is 8, so therefore your answer is 1x8.
hope this helps! :)
the letters of the word combine are placed at random in a row in how many ways can an arrangement occur such that all vowels are placed together
==========================================================
Explanation:
The word "combine" has three vowels o, i, and e.
One grouping of the three vowels together leads to oie, which we'll replace with Z for now.
So we have the "word" Zcmbn after taking out the vowels and replacing with Z temporarily. There are 5 letters in Zcmbn making 5! = 5*4*3*2*1 = 120 different permutations.
Within any permutation of Zcmbn, there are 3! = 3*2*1 = 6 ways to arrange the sequence oie
So overall there are 6*120 = 720 different ways to arrange the word "combine" such that all the vowels stick together.
distribute and combine √12x(-1+√5
Answer:
-2[tex]\sqrt{3x}[/tex] + 2[tex]\sqrt{15x}[/tex]
Step-by-step explanation:
What is the distance between (2,-1) and (2,5)
Answer:
6
Step-by-step explanation:
Since the x coordinates are the same, we are only concerned about the y coordinates
Find the difference between -1 and 5
5 - -1
5+1
6
The distance is 6
5 3/4
i don't know how to solve this
Answer:
it would be 5.75
Hope this helps! :)
(make brainliest if it helped!!)
If you sell ice cream cones at the football game you must sell 25 to make a profit. You have already sold 15 cones. Write an inequality that can be solved to show all the numbers of cones, c, that you will still need to sell
Answer:
The inequality to describe the problem is 15 +c >25.
We must sell more than 5 cones to make a profit
Step-by-step explanation:
From this problem, we can see that we need to sell a number of cones (c), that when added to the 15 cones that we have already sold, the result will be greater than 25.
To set up the inequality sign, we need to, first of all, know the inequality sign that we will be using. From the preceding statement, we can see that we need to sell greater than a certain number of cones.
This should tell us that we will be needing the greater-than sign (>).
The next step is to know the format the equation should take:
We have sold 15 cones; We need to sell c more to make it greater than 25.
This will be 15 +c >25.
The inequality to describe the problem is 15 +c >25.
from this, we can see that c > 5 cones.
We must sell more than 5 cones to make a profit
Complete the equation of the line through ( 3 , − 1 ) (3,−1)left parenthesis, 3, comma, minus, 1, right parenthesis and ( 4 , 7 ) (4,7)left parenthesis, 4, comma, 7, right parenthesis.
Answer:
[tex]y=8x-25[/tex]
Step-by-step explanation:
Given the coordinates:
(3,−1) and (4,7)
To find:
The equation of line passing through the given points.
Solution:
Let us have a look at the slope intercept form of a line:
[tex]y=mx+c[/tex]
c is the y intercept.
Where [tex]m[/tex] is the slope of the line passing through the points [tex](x_1,y_1),(x_2,y_2)[/tex]
Formula for slope is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]x_1 = 3\\y_1 = -1\\x_2 = 4\\y_2 = 7[/tex]
[tex]m=\dfrac{7-(-1)}{4-3}\\\Rightarrow m = 8[/tex]
So, equation of line becomes:
[tex]y=8x+c[/tex]
Let us put (4, 7) to find the value of c:
[tex]7=8\times 4 +c\\\Rightarrow c = -25[/tex]
So, the equation is:
[tex]y=8x-25[/tex]
The equation of the line passing through the points (3.-1), and (4,7) is [tex]y=8x-25[/tex].
Given information:
The given line passes through the points (3.-1), and (4,7).
It is required to write the equation of the line.
Use the two-point form of a line to write the equation of the line:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\y-(-1)=\dfrac{7-(-1)}{4-3}(x-3)\\y+1=8(x-3)\\y+1=8x-24\\y=8x-25[/tex]
From the above equation of the line, the slope is equal to 8.
Therefore, the equation of the line passing through the points (3.-1), and (4,7) is [tex]y=8x-25[/tex].
For more details, refer to the link:
https://brainly.com/question/19082942
5x+2/6-2x-7/11_>-4
What’s the answer?
Answer:
Inequality Form: x > − 122 /99
Interval Notation: ( − 122/ 99 , ∞ )
Step-by-step explanation:
can someone help me solve this
solve (8²)³ Simplified and what law did you use?
Answer:
[tex]8^{6}[/tex]
Step-by-step explanation:
power to power rule: multiply the bases
Answer:
262144
Step-by-step explanation:
(8²)³
When there is a power on top of a power, In this case (^2)^3, you DON'T Multiply 2 three times. You multiply two WITH 3.
SO,
(8²)³
= 8^6
Final answer =262144
5
Triangle RST has the vertices R(2, 3), S(-2, 1), and T(-1,5). What are the coordinates after the
two transformations
Translation (x, y) -> (x - 2y - 1)
Rotation: 90 degrees counterclockwise at the origin. *
(2 points)
Enter your answer
Answer:
R(-2,0)
S(0,-4)
T(-4,-3)
Step-by-step explanation:
So first you gotta subtract 2 from each x value and 1 from each y value. After you do that, you get:
R(0,2)
S(-4,0)
T(-3,4)
then i put it all onto a graph, and rotated it 90* counterclockwise, from the origin, which puts it in quadrant 3, with the final coordinates above.
Which decimal comes between 1/2 and 5/8. A. 0.629 B. 0.07 C. 0.499 D. 0.6
Answer:
D
1/2 is 0.5
5/8 is 0.625
Which one is less than 0.625 and greater than 0.5?
0.6
Simplify | - 7 - 1 |.
| - 7 - 1| = | - 7 + ( -1 ) |
= | -8|
= 8
= 8
| -7 - 1 | = 8
Answer:
8
Step-by-step explanation: