Answer:
B. (-2, 3)Step-by-step explanation:
Given two coordinates (x₁, y₁) and (x₂, y₂), the coordinate of their midpoint is equivalent to X = (x₁+x₂)/2 and Y = (y₁+y₂)/2.
Given the coordinate of Sally's house and her school to be (5, −1) and (−9, 7) respectively, the midpoint of Sall's house and school is expressed as shown;
from the coordinates, x₁ = 5, y₁ = -1, x₂ = -9 and y₂ = 7
X = (5+(-9))/2
X = 5-9/2
X = -4/2
X = -2
Y = -1+7/2
Y = 6/2
Y = 3
The coordinate of the midpoint of Sally's house and school will be expressed as (X, Y) which is equivalent to (-2, 3).
The braking distance, D, of a car is directly proportional to the square of its speed, v. When d=5, v=10
Find d when v=70
[tex] d \propto v^2[/tex]
$\implies d=kv^2$
substitute the given values, $5=k(10)^2\implies k=\frac1{20}$
now, $d=\frac{1}{20}\times( 70)^2=\frac{70\times70}{20}=245$
A big blunder from my side, now fixed!
Anyone want to help...?
Answer:
-1
Step-by-step explanation:
3/2 * (-22/33)
Simplify by dividing the second fraction by 11
3/2 * (-2/3)
Rewriting
3/3 * (-2/2)
-1/1
Answer:
-1
Step-by-step explanation:
(a/b)(c/d) = (a*c)(
(3/2)(-22/33)
(3*-22)/(2*33) = -66/66 = -1
PLEASE HELP ME !!!
given a function y = 5x² - 9x - 5
from the graph, determine the value of x when y = 0
Answer:
-0.4 or 2.3
Step-by-step explanation:
simple
each box is 0.1 unit
Answer:
Step-by-step explanation:
The answer is where the graph cuts the x-axis.
I can't see it very well but it looks like x = -0.4 and 2.3.
which pair of functions represents a decomposition of f(g(x)) = | 2(x + 1) ^2 + (x + 1) | ?
Answer:
|2x^2+5x+3|
Step-by-step explanation:
Answer: D
f(x) = | 2x2 + x | and g(x) = (x + 1)
Step-by-step explanation:
two similar cups are 3 cm and 5 cm deep if the larger cup
s hold 675 cm cube of water what is the volume of the smaller one
Answer:
145.8
Step-by-step explanation:
l.s.f for the two is 3:5
volume scale factor will be 3³:5³ which us 27:125
so 27×675 / 125
= 145.8
Classify What type of number is 1.00 repeating
Answer:
rational, integer, whole, natural, real
Step-by-step explanation:
Trailing zeros after the decimal point do not change the value of a number. This number is 1, a rational, real, integer, whole, natural number.
The value of y varies directly with x, where LaTeX: y=50y = 50 when LaTeX: x=40x = 40. Find the value of x when y is 10.
Group of answer choices
LaTeX: x=8 x = 8 x = 8 x = 8 x = 8 x = 8 x = 8 x = 8
LaTeX: x=12.5 x = 12.5 x = 12.5 x = 12.5 x = 12.5 x = 12.5 x = 12.5 x = 12.5
LaTeX: x=1.25 x = 1.25 x = 1.25 x = 1.25 x = 1.25 x = 1.25 x = 1.25 x = 1.25
LaTeX: x=0
Answer:
x= 8
Step-by-step explanation:
The equation of direct variation is
y = kx
When y = 50 when x = 40
50 = k* 40
Divide each side by 40
50/40 = k
5/4 = k
The equation is
y = 5/4x
Let y = 10
10 = 5/4x
Multiply each side by 4/5
4/5 * 10 = 5/4 x * 4/5
8 = x
Ahmad the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were clients 3 who did Plan A and 2 who did Plan B. On Tuesday there were 5 clients who did Plan A and 6 who did Plan B. Ahmad trained his Monday clients for a total of 3 hours and his Tuesday clients for a total of 7 hours. How long does each of the workout plans last? please help
Answer:
Plan A last for 30 minutes
Plan B last for 45 minutes
Step-by-step explanation:
There are two plans:
Plan A
Plan B
Monday
Plan A=3 clients
Plan B=2 clients
Total hours=3
Tuesday
Plan A=5 clients
Plan B=6 clients
Total hours=7
The equation for the unknown
3A + 2B=3 (1)
5A + 6B=7 (2)
Multiply (1) by 3 and (2) by (1)
9A + 6B=9 (3)
5A + 6B=7 (4)
Subtract (4) from (3)
4A=2
Divide both sides by 4
4A/4 = 2/4
A=1/2 hours
Substitute A=1/2 into (1)
3A + 2B=3
3(1/2) +2B=3
3/2 + 2B=3
2B= 3 - 3/2
2B= 6-3/2
2B=3/2
Divide both sides by 2
B=3/2÷2
=3/2×1/2
B=3/4 hours
A=1/2 hours
B=3/4 hours
60 minutes=1 hour
A=1/2 hours
1/2 × 60 minutes
=60/2
=30 minutes
B=3/4 hours
=3/4×60 minutes
=180/4
=45 minutes
Plan A last for 30 minutes
Plan B last for 45 minutes
The following frequency table shows the number of fish caught by each of Igor's family members. What was the maximum number of fish that a family member caught? _____ fish
Answer:
4
Step-by-step explanation:
The values on the left of the table represent the number of fish caught, and the number of the right of the table represents how many family members caught that amount of fish.
Therefore, the first row means that 0 family members caught 0 fish.
The second row means that 3 family members caught 1 fish.
The third row would mean 1 family member caught 2 fish.
The next row would mean 0 family members caught 3 fish.
And the final row would mean 4 family members caught 4 fish.
The question does not ask for the total amount of fish caught; rather is ask for the maximum number of fish that a single family member caught.
Therefore, the maximum amount of fish that a single family member catches is 4. (And 4 family members did so. But individually, the maximum amount of fish one person caught is 4).
Answer:
it's 1 fish
Step-by-step explanation:
i took the test
HELP i don’t know how to do this
Answer:
4a
Step-by-step explanation:
4a
the top and right are a-b, but you have to add the b’s back in, so really all sides are a
a+a+a+a=4a
Answer: 4a
Step-by-step explanation: perimeter is the length of all sides added together. Every length is given combine like variables and you will get 4a+2b-2b. 2b-2b is 0 which leaves you with 4a
convert the equation f(x)=1/2x^2+3x-2 to vertex form
Answer:
Step-by-step explanation:
Hello, please consider the following.
The "vertex form" is as below.
[tex]y=a(x-h)^2+k\\\\\text{Where (h, k) is the vertex of the parabola.}\\[/tex]
Let's do it!
[tex]f(x)=\dfrac{1}{2}x^2+3x-2\\\\f(x)=\dfrac{1}{2}\left(x^2+3*2*x\right) -2\\\\f(x)=\dfrac{1}{2}\left( (x+3)^2-3^2\right)-2\\\\f(x)=\dfrac{1}{2}(x+3)^2-\dfrac{9}{2}-\dfrac{4}{2}\\\\f(x)=\dfrac{1}{2}(x+3)^2-\dfrac{9+4}{2}\\\\\large \boxed{\sf \bf \ \ f(x)=\dfrac{1}{2}(x+3)^2-\dfrac{13}{2} \ \ }[/tex]
Thank you.
[fill in the blank]
In this figure,AB and CD are parallel.
AB is perpendicular to line segment_____. If the length of EF is a units, then the length of GH is_____units.
Answer:
1. GH
2. a
Step-by-step explanation:
Perpendicular: When 2 lines meet at 90 degrees
1. It is line segment GH because AB and GH meet at a 90 degree angle (since there is a box at angle GHF indicating that it is 90 degrees)
2. It has to be a units because it is a rectangle where the top and bottom are congruent and the sides are too
This is a rectangle since AB and CD are parallel and GH can be a transversal line, according to same side interior angles theorem EGH is a also 90 degrees. That means FEG is 90 degrees too because then the quadrilateral will add up to 360 degrees
can someone please please help me :/ I have to get this right. please help
Work Shown:
Solve for y. Then replace y with f(x).
[tex]680x + 10y - 1000 = 0\\\\10y - 1000 = -680x\\\\10y = -680x + 1000\\\\y = \frac{-680x + 1000}{10}\\\\y = \frac{-680x}{10} + \frac{1000}{10}\\\\y = -68x + 100\\\\y = 100 - 68x\\\\f(x) = 100 - 68x\\\\[/tex]
Effectively this involves adding 1000 to both sides and subtracting 680x from both sides, afterward we divide both sides by 10 to isolate y.
Answer:
choice B
Step-by-step explanation:
I did this problem like 6 months ago......
how many eighth rests are in a half rest?
Which graph shows a linear function?
Answer:
the bottom
Step-by-step explanation:
Answer: the second one
Step-by-step explanation:
I Need Help With This One :/
Answer:
(-5) ^ 11
Step-by-step explanation:
(-5) ^5 / (-5) ^ -6
We know that a^ b / a^ c = a^ ( b-c)
(-5)^ (5 - -6)
(-5) ^ (5+6)
(-5) ^ 11
Answer:
-5
Step-by-step explanation:
Mathaway
The table below shows the number of cars Jing sold each month last year.
What is the median of the data in the table.
13
16
19
20.5
23.5
Other:
Answer:
The median of the data in the table is 19.
Step-by-step explanation:
We are given the following data that shows the number of cars Jing sold each month last year below;
Number of cars Jing sold: 13, 16, 19, 20.5, 23.5
For calculating the median, firstly we have to observe that the number of observations (n) in our data is even or odd because;
If n is odd, then the formula for calculating median is given by;Median = [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]
If n is even, then the formula for calculating median is given by;Median = [tex]\frac{(\frac{n}{2} )^{th} \text{ obs.} + (\frac{n}{2}+1 )^{th} \text{ obs.} }{2}[/tex]
Here, the number of observations in our data is odd, i.e. n = 5.
So, Median = [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]
= [tex](\frac{5+1}{2} )^{th} \text{ obs.}[/tex]
= [tex](\frac{6}{2} )^{th} \text{ obs.}[/tex]
= 3rd obs. = 19
Hence, the median of the data in the table is 19.
Find the slope of the line passing through the points -4,-3 and 8,-9
Answer:
-3/4
Step-by-step explanation:
Slope = Rise/Run
Between -4 and 8, the line runs 12 units. Between -3 and -9, the line rises -9 units.
-9/12 = -3/4
Answer:
-3/4
Step-by-step explanation:
i need help please asap 10 points!
Answer:
1) Real Number
2)Whole Number
3)Irrational Number
4)Rational Number
5)Integers
6)Natural Numbers
help pleasseeeee ! 15 points
the answers are
(-1,-5)
(0,-3)
(4,5)
(9,15)
Answer:
(0,-3)
Step-by-step explanation:
2x-y = 3
x+2y = -6
Multiply the first equation by 2 so we can eliminate y
2(2x-y =3)
4x -2y = 6
Add this to the second equation
4x -2y = 6
x+2y = -6
-----------------
5x +0y = 0
x = 0
Now find t
x+2y = -6
0+2y = -6
2y =-6
Divide by 2
y = -3
Answer:
Step-by-step explanation:
Let's try to eliminate y.
First we multiply the first equation by 2,
4x - 2y = 6
x + 2y = -6
Then we add them together
5x = 0
x = 0
Now we plug x into the first equation,
4(0) - 2y = 6
-2y = 6
y= -3
Now we plug x into the second equation,
0 + 2y = -6
2y = -6
y = -3
So our answer is,
(0,-3)
Two trains station at the same time one travels east at 8 miles per hour .The other train traveles east at 8 millas per hour the other train travels west at 11 miles per hour in how many hours will the two trains apart
Complete the statement to describe the expression abc + defabc+defa, b, c, plus, d, e, f. The expression consists of terms, and each term contains factors.
Answer:
The expression consists of 2 terms and each terms contains 3 factors.
Step-by-step explanation:
Given the expression (abc)+(def), the description of the expression is as shown:
The expression consists of 2 terms and each terms contains 2 factors.
Terms are expressions connected by mathematical signs such as addition and subtraction sign. As we can see from (abc)+(def), 'abc' and 'def' are separated by addition signs therefore both abc and def are the "terms" of the expression.
Factors are variables connected using the multiplication or bracket signs. As we can see, each term contains 3 factors. Looking at the first term 'abc', we can see that there are 3 variables/factors (a, b and c) multiplied together. This shows that they are connected by multiplication signs and same goes with 'def'.
Hence, the expression consists of 2 terms and each terms contains 3 factors.
The statements of expression.
As per the question, the statement which tells us about expression consists of 2 terms, and each term is 3 factors. As per the expression of the ABC and DEF describes expression of 2 terms and each term contains 2 factors.
Hence the answer is 2 terms and 3 factors.
The terms of the expressions are linked by mathematical signs such as addition and the subtraction signs. The factor is variables joined using the multiplication signs. In each term contains the 3 factors are found. Looking at the first term ABC, we can see that there are 3 variables like a, b, and c that are multiplied together.Learn more about the statement to describe.
brainly.com/question/14255123.
Find the slope of the line that passes through the points (-8,-3) and (2, 3)
0
1
3/5
5/3
Answer:
The answer is
[tex] \frac{3}{5} [/tex]Step-by-step explanation:
To find the slope passing through two points we use the formula
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]Where
m is the slope
( x1 , y1) and ( x2 , y2) are the points
From the question the points are
(-8,-3) and (2, 3)
So the slope is
[tex]m = \frac{3 + 3}{2 + 8} = \frac{6}{10} = \frac{3}{5} [/tex]Hope this helps you
Whats the mean of the box plot 50 60 70 80 90 100
Answer:
75
Step-by-step explanation:
Mean = sum of all numbers / how many of numbers
=> 50 + 60 + 70 + 80 + 90 + 100 / 6
=> 450 / 6
=> 75
So, the mean of this data is 75.
Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point? A.
Answer: y=50x+3.5
Step-by-step explanation:
50 because that is how many mph
3.5 because he already drove that amount
Answer:
y=50x+3.5
Step-by-step explanation:
If EH = 23, calculate AB.
Youngblood say you want me back in your life...
Answer:
2/4 = 23/AB
1/2 = 23/AB
AB= 46
Hope it helps ^_^
you are working with a 30-60-90 right triangle. its longer leg measures 6. What is the length of the hypotenuse
Answer:
4sqrt(3) = 6.928
Step-by-step explanation:
Ratio of the lengths of the sides of a 36-60-90 triangle:
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
The short leg is sqrt(3) times shorter than the long leg.
The hypotenuse is twice the short leg.
long leg = 6
short leg = 6/sqrt(3)
hypotenuse = 12/sqrt(3)
12/sqrt(3) * sqrt(3)/sqrt(3) = 12sqrt(3)/3 = 4sqrt(3)
find the lower quartile for the data {47.2, 33.8, 43, 62, 5.8, 9, 61.4, 30.8, 68.2, 51.6, 13.2, 17.4, 64.2, 50.6, 29.4, 40.4}
Answer:
The lower quartile is 23.4
Step-by-step explanation:
The given data are;
47.2, 33.8, 43, 62, 5.8, 9, 61.4, 30.8, 68.2, 51.6, 13.2, 17.4, 64.2, 50.6, 29.4, 40.4
Rearranging the data, we have;
5.8, 9, 13.2, 17.4, 29.4, 30.8, 33.8, 40.4, 43, 47.2, 50.6, 51.6, 61.4, 62, 64.2, 68.2
The lower quartile, Q₁, is the (n + 1)/4 th term which is (16 +1)/4 = 4.25th term
However since we have an even set of numbers, we place a separator at the middle and we look for the median of the left half as follows
5.8, 9, 13.2, 17.4, 29.4, 30.8, 33.8, 40.4║ 43, 47.2, 50.6, 51.6, 61.4, 62, 64.2, 68.2
We have two numbers (17.4 + 29.4) at the median of the left set of numbers, we find the average of the two numbers to get the lower quartile
The lower quartile is therefore = (17.4 + 29.4)/2 = 23.4.
Which of these is NOT discrete data:
A. number of home-runs hit in a professional baseball game
B. air pressure in a car tire
C. cars per household in a town
D. number of pills in a container of vitamins
Answer:
B, air pressure in a car tire.
Step-by-step explanation:
Discrete data is data which come in intervals, and isn't continuous.
The number of home runs can only go 0 -> 1 -> 2 -> 3, you can't have 2.5 or 3.2 home-runs.
The number of pills in a container can also only go 0 -> 1 -> 2. Again, can't have 0.7 pills.
The number of cars per household is also discrete. The number of cars in a household goes 0 -> 1 -> 2, you can't have half a car!
However, the air pressure is continuous. If you're increasing the air pressure, it'll (in theory) go from 0 -> 0.000...001 -> 0.000..002 etc. It doesn't "jump" from 0 pressure -> 1 pressure like the others, it goes smoothly. It can be any value.
So the air pressure isn't discrete data.
The diagonal of a square is 8 cm. What is the length of the side of this square? Give your answer as an exact surd in its simplest form.
Answer:
4[tex]\sqrt{2}[/tex] cm
Step-by-step explanation:
The diagonal divides the square into 2 right angles with legs s and the diagonal as the hypotenuse.
Using Pythagoras' identity in the right triangle , then
s² + s² = 8²
2s² = 64 ( divide both sides by 2 )
s² = 32 ( take the square root of both sides )
s = [tex]\sqrt{32}[/tex] = 4[tex]\sqrt{2}[/tex]
Answer:
Given :
↠ The diagonal of a square is 8 cm.To Find :
↠ The length of the side of square.Using Formula :
Here is the formula to find the side of square if diagonal is given :
[tex]\implies{\sf{a = \sqrt{2} \dfrac{d}{2}}} [/tex]
Where :
➺ a = side of square ➺ d = diagonal of squareSolution :
Substituting the given value in the required formula :
[tex]{\dashrightarrow{\pmb{\sf{ \: a = \sqrt{2} \dfrac{d}{2}}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \dfrac{8}{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \cancel{\dfrac{8}{2}}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times 4}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = 4\sqrt{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{\underline{\underline{\red{ \: a = 5.65 \: cm}}}}}}[/tex]
Hence, the length of the side of square is 5.6 cm.
[tex]\underline{\rule{220pt}{3pt}}[/tex]
