A. 7 - 4 = 3. So, these points are separated by a distance of 3 units.
B. 2 - 1 = 1. So, these points are separated by a distance of 1 unit.
C. 3 - 1 = 2. So, these points are separated by a distance of 2 units.
D. 8 - 4 = 4. So, these points are separated by a distance of 8 units.
So A. is the correct answer.
Answer:
A. (2,4), (2,7)
Hope you could get an idea from here.
Doubt clarification - use comment section
The graph of a function is shown on the coordinate plane below. Identify the rate of
change of the function.
=========================================================
How to get that answer:
The slope is the rate of change for any linear function.
Apply the slope formula for any two points on the diagonal line.
I'll use the points (-4, -3) and (0, 4)
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{4-(-3)}{0-(-4)}\\\\m = \frac{4+3}{0+4}\\\\m = \frac{7}{4}\\\\[/tex]
The slope is m = 7/4
This indicates that each time we go up 7 (rise), we also go to the right 4 units (run)
slope = rise/run = 7/4
rise = 7, run = 4
The fraction 7/4 converts to the decimal form 1.75
Question 1 (1 point)
Order the decimals from least to greatest.
10 3.06, 3.6, 3.066, 3.006
least
greatest
10) LEAST
GREATEST
Blank 1:
Answer:
3.006, 3.06, 3.066, 3.6, 10
Step-by-step explanation:
Numbers written in a place-value system are compared left-to-right. If the digits with the same place-value multiplier being compared are the same, then the next digits to the right need to be compared.
The number 10 is the greatest. (None of the others have a digit in the 10s place.)
The number 3.6 is the next greatest. (6 in the tenths place is the largest digit there.)
The number 3.066 follows that, then 3.06.
3.006 is the least.
In order from least to greatest, the numbers are ...
3.006, 3.06, 3.066, 3.6, 10
Need help !!!!!!!!!!!!!!!!!!!
Harlene tosses two number cubes. If a sum of 8 or 12 comes up, she gets 9 points. If not, she loses 2 points. What is the expected value of the number of points for one roll? Negative two-thirds Negative one-sixth one-sixth Two-thirds.
We want to get the expected value for the given experiment, we will see that it is equal to -1/6 points, so the correct option is "negative one-sixth"
For an experiment with events {x₁, x₂, ..., xₙ}, each one with probability {p₁, p₂, ..., pₙ}, the expected value is given by:
EV = x₁*p₁ + ... + xₙ*pₙ
Here we have two events:
x₁ = she gets 9 points.x₂ = she loses 2 points.Let's find the probabilities of each one of these.
She gets 9 points if the sum of the two dice is equal to 8 or 12.
Each dice has 6 outcomes.
Then a combination of two dice has a total of 6*6 = 36 outcomes.
The outcomes that add to 8 or 12 are:
dice 1 dice 2 sum
2 6 8
3 5 8
4 4 8
5 6 8
6 2 8
6 6 12
So 6 out of the 36 outcomes, then the probability of this event is:
p₁ = 6/36 = 1/6
And the other event is for all the other outcomes, so the probability is just:
p₂ = 5/6
Then the expected value is:
EV = (+ 9 points)*(1/6) + (-2 points)*(5/6) = -1/6 points.
So the correct option is negative one-sixth.
If you want to learn more about expected value, you can read:
https://brainly.com/question/22097128
Answer:
-1/6
Step-by-step explanation:
$8.28
______
0.3 m
or
$13.00
______
0.4 m
What are the unit prices of each and which one is a better buy?
Answer:
1st
Step-by-step explanation:
1) 1m cost = $8.28/0.3=$27.60/m
2) 1m cost = $ 13.00/0.4=$32.5/m
phythagorean theorum please help
Answer:
14
Step-by-step explanation:
so the hypotenuse for both triangles is 19.use Pythagoras theorem to get the base of both triangles as 8.5cm each.add the two bases and get 17.minus 17 from 31 to get 14cm as the remaining part
One student claims that 25% is equivalent to 1/4%. Is that correct? Why or why not?
Answer:
ya
Step-by-step explanation:
25 percent is equally to 25 over 100 which is 1over4
Help needed read carefully
I got a 30 on a math test and t hmm e only way to get 65 (passing grade) is to solve the mystery number
I am a factor of 5 and when you pair me up with 15 I am almost a gcm of 30
I am larger than 20 and less than 40
what number am i?
Answer:
4
Step-by-step explanation:
The factors of 5 and 15 are 1, 5 and 1, 3, 5, 15 respectively.
How many factors does 15 have?
4 factors
Factors of 15 are the list of integers that can be evenly divided into 15. It has a total of 4 factors of which 15 is the biggest factor and the positive factors of 15 are 1, 3, 5, and 15.
Find the slope for (3,1)and (4,3)
Answer:
2
Step-by-step explanation:
slope formula : [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where the x and y values are derived from known points
We are given the points (3,1)and (4,3)
Given these points we can define our variables
(x1,y1) = (3,1) so x1 = 3 and y1 = 1
(x2,y2) = (4,3) so x2 = 4 and y2 = 3
Now that we have defined our variable, we plug them into the formula
Recall formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
x1 = 3 , y1 = 1 , x2 = 4 , y2 = 3
* plug in values *
[tex]\frac{3-1}{4-3}[/tex]
subtract 3 and 1 , and 4 and 3
[tex]\frac{3-1=2}{4-3=1} =\frac{2}{1} =2[/tex]
the slope is 2
The tickets for a dozen children to enter the amusement park cost $330. What was the price per ticket?
Answer:
27.5
Step-by-step explanation:
Please help
7a-4[2-(2a-1)]
Answer:
15a - 12
Step-by-step explanation:
7a - 4 [ 2 - (2a - 1) ] ← distribute parenthesis inside the bracket by - 1
= 7a - 4 [ 2 - 2a + 1 ]
= 7a - 4 (- 2a + 3) ← distribute parenthesis by - 4
= 7a + 8a - 12 ← collect like terms
= 15a - 12
Which number is divisible by both three and nine?
Select the Hint button to view a hint.
A B C D
Answer:
27
Step-by-step explanation:
3 * 9 = 27
Hope this helps!
Answer:
The bold word help you
Step-by-step explanation:
Consider the numbers 2, 23, 234, 2345, 23456, 234567.
Every number divisible by 9 is divisible by 3. For example, 7425 is divisible by 9, hence it is divisible by 3. However, a number divisible by 3 is not necessarily divisible by 9. For example 6, 12, 15, 21, 24, 30 are all divisible by 3 but none of them is divisible by 9.
6 is divisible by 3 but not by 9 because 6 is greater than 3 but smaller than 9
please help me to get the answers please its important
Answer:
Q16a: 432 cm³
Q16b: sides: 20 m, 6 m; height: 13 m.
Step-by-step explanation:
Q16aEach cube will have a volume ...
V = s³
V = (6 cm)³ = 216 cm³
The two cubes together will have a volume that is twice that.
The cuboid volume is 432 cm³.
__
Q16bLet h represent the height of the trapezium. Then its area is ...
A = 1/2(b1 +b2)h
169 = 1/2((h +7) +(h -7))h = 1/2(2h²) = h²
h = √169 = 13 . . . . . distance between the parallel sides
The side lengths are h+7 = 20 m and h-7 = 6 m. The distance between them is 13 m.
!!!!!!!!!!!!!!determine which of these are perpendicular parallel or none
Answer:
Parallel: a and c
Perpendicular: a and b, c and b
Step-by-step explanation:
Basically you would want to isolate for y.
Line a:
4y - 12x = 20
4y = 12x + 20
y = 12x/4 + 20/4
y = 3x + 5
Line b:
3y = -x+2
y = -x/3 + 2/3
Line c:
y=3x - 1
Now look at each line and compare their slopes.
-Lines a and c have same slope., thus they are parallel.
-lines a and b are perpendicular because the slopes are negative reciprocals each other
-lines b and c are also perpendicular
Cole had 20 dollars to spend on 3 gifts. He spent 11 9 /10 dollars on gift A and 5 3 /5 dollars on gift B. How much money did he have left for gift C?
Answer:
$2.50
Step-by-step explanation:
11 9/10 + 5 6/10 = 16 15/10 or 16 + 1.50 = 17.50
20 - 17.50 = 2.50
If $7.80 if for 6 pairs of socks then how much is 1 pair of socks
Answer:
One pair of socks would be 1 dollar and 30 cents
Step-by-step explanation:
you divide the price of the socks by how many socks there are to get the answer.
Translate the phrase into an expression with integers: negative 13. Do not simplify your expression.
Answer:
-13
Step-by-step explanation:
negative 13 = -13
Can someone Please help me on this math problem
Answer:
2
Step-by-step explanation:
each time that x gains 1, y gains 2
2/1=2
Edwin is selling 5 candy bars for $6. what if 5 was 1
Answer:
$ 1.2
Step-by-step explanation:
you need to divide 6/5 and then that's the answer.
A scientist evaluated the local deer population. The scientist found that there were 100 deer in all, 15% of which were juveniles. How many juveniles were there in the local deer population?
Answer:
this is easy 100% in this case equals 100 so 15 Juveniles equals 15%
Step-by-step explanation:
PLEASE, PLEASE HELP ME I SWEAR I'LL GIVE BRAINLIEST
Answer:
1. is a solution
2. is a solution
3. not a solution
4. not a solution
5. not a solution
6. is a solution
7. is a solution
8. not a solution
Step-by-step explanation:
Which of these shapes have an area
Answer:
Shape 2 and 3
Step-by-step explanation:
shape 1 is not enclosed so it cannot have area
Grade 4c left their school at7:30 am for their trip to the market. They return at 10:45 am how much time did they spend on the trip?
please i need help with this
Given :-
Line p has an equation of y = 5/3x - 4 .Line q includes point (-10,-3) and is perpendicular to the line p .To Find :-
The equation of line q .Solution :-
The equation of the line p is ,
[tex]\sf\blue{\longrightarrow}[/tex] y = 5/3x - 4
On comparing to slope intercept form of the line which is y = mx + c , we have ,
[tex]\sf\blue{\longrightarrow}[/tex] m = 5/3
Now as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be ,
[tex]\sf\blue{\longrightarrow} m_{\perp} = -3/5[/tex]
Now here the line q passes through the point (-10,-3) . So on using the point slope form of the line we get ,
[tex]\sf\blue{\longrightarrow} y - y_1 = m(x-x_1)[/tex]
[tex]\sf\blue{\longrightarrow}[/tex] y - (-3) = -3/5[ x-(-10)]
[tex]\sf\blue{\longrightarrow}[/tex] y +3 = -3/5(x+10)
[tex]\sf\blue{\longrightarrow}[/tex] y+3 = -3/5x - 6
[tex]\sf\blue{\longrightarrow}[/tex] y +9 = -3/5x
[tex]\sf\blue{\longrightarrow}[/tex] y = - 3/5x - 9
Hence the required answer is y = -3/5x - 9 .
Answer:
For Perpendicular lines you have to know
Step-by-step explanation:
Slope of P ×slope of q=-1 (always since they are perpned..)
so as P has the slope 5/3 in order to optain - 1 the slope of q should be negative of the inverse of p
so q solpe =-3/5 then lets try (5/3)×(-3/5)? =-1 yes
And be aware that you have to know the formula of straight line : y-ypoint=slope(x-xpoint) or y=ax+b
so y+3=-3/5(x+10) ===> y=-3/5x - 30/5 - 3
uniting the denominater ==>y=-3/5x - 45/5
so that q equation is :y=-3/5x - 9
How much money, in dollars, is available on his card after he takes 0
rides?
Answer:
However much he had on his card in the first place.
Step-by-step explanation:
Say he had $500 on his card. He took 0 rides ( no rides ) so he doesn't lose any money. Leaving him with his starting amount, $500.
The area of a rectangle is greater than or equal to 42 square centimeters. The width of the rectangle is 6 centimeters and the length is
centimeters. Select the possible value(s) of a.
7
Answer:
≥7
Step-by-step explanation:
6x7=42
Hope that helps
Answer:
x≥7
Step-by-step explanation:
Please help me with my Geometry.
Step-by-step explanation:
2 similar triangles (the angles are the same, and the lengths of the corresponding sides have the same multiplication factor from one triangle to the other) :
1. support post (14ft), post to back (b), the long roof line
2. front to post (f), support post (14ft), dotted line
so, because the multiplication factor is the same for the sides, the ratio
"support post" / f
must be the same as
b / "support post"
14 / f = b / 14
b = 14²/f = 196/f
and then we know that
f + b = 53
by putting the first into the second equation we get
f + 196/f = 53
f² + 196 = 53f
f² - 53f + 196 = 0
the solution of such a quadratic equation in general is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = f
a = 1
b = -53
c = 196
f = (53 ± sqrt(53² - 4×1×196))/(2×1) =
= (53 ± sqrt(2809 - 784))/2 = (53 ± sqrt(2025))/2 =
= (53 ± 45)/2
f1 = (53 + 45)/2 = 98/2 = 49
f2 = (53 - 45)/2 = 8/2 = 4
as the distance "front to post" is shorter than "back to post", f2 = 4 must be or solution.
therefore, the support post is positioned 4ft from the front of the house.
A cash card has a starting value of $25. If the card is not used within the first year of its purchase, the value on the card begins to decrease by $2.50 per month.
The relationship between the number of months after the first year and the amount remaining on the card is .
The independent variable is the _____________?
The dependent variable is the ______________?
Answer:
The relationship between the number of months after the first year and the amount on the remaining card is linear and inverse ( Which meant that ,when the number of months after the first year increases , the amount on the remaining car decreases , in a linear way ) .The Independent variable is the numbers of months after the first year .The Dependent variable is the amount on the remaining card , Bcoz this amount depends on the time it has passed since the first year , ( which is our independent variable!).If we call "Y" our dependent variables and "X" our Independent variable , This relationship can be written as Y= 25 - 2.5x.If no months had passed since the first year, then x= 0 and the amount in the card equals $25 , While if one month has passed since the first year x= 1 and y= 22.5 ( The amount in the card in this case is $22.5 .Step-by-step explanation:
Hope this helps you !!HELP!...................................................
You start your Thanksgiving morning doing the Turkey Trot, a 5K run, with friends. Your mom said you need to be at the Thanksgiving celebration by 11:30am to help prepare the side dishes. In order to get there on time, you have to plan ahead. The Turkey Trot starts at 8:00am. You have allotted 1.25 hours after the trot to stretch, and get home. It takes you 0.75 hours to shower and get ready. The drive to the Thanksgiving dinner is 0.9 hours. At what speed (in km/hr) do you need to run the Turkey Trot in order to still be on time to Thanksgiving on time?
Answer:
1.6 hrs remaining, or 3.12 km/h
Step-by-step explanation:
Determine the measure of the angles.
Answer:
E=118
K=50
Step-by-step explanation:
I=E
E=118
K=360-118-118-74 (sum of angles in quad)
K=50