Step-by-step explanation:
To evaluate such, the following formula is required:
Distance Formula: d(P, Q) = √ (x2 − x1)^2 + (y2 − y1)^2
Denote the following points as the following,
(4, -7). (1, -7)
X1 Y1. X2. Y2
D(P, Q) = √(1 - 4)^2 + (-7 + 7)^2. <== Since there is a double negative, such will be considered addition.
√(-3)^2 + (0)^2
√9 = 3
Thus, the agglomerate distance of such points on the Cartesian plane is disclosed as 3 units.
6(2x-11)<-3+5x Need help asap
Answer:
x <9
Step-by-step explanation:
6(2x-11)<-3+5x
Distribute
12x -66 < -3+5x
Subtract 5x from each side
12x-5x -66 < -3+5x-5x
7x -66< -3
Add 66 to each side
7x-66+66<-3+66
7x<63
Divide by 7
7x/7 <63/7
x <9
Three men and six women are waiting to be interviewed for jobs. If they are all selected in random order, find the probability that all men will be interviewed first.
Answer:
1/84Step-by-step explanation:
Total people:
3 + 6 = 9Probabilities of men:
P(first man) = 3/9 = 1/3P(second man) = 2/8 = 1/4P(third man) = 1/7Required probability is:
P(first 3 men) = 1/3*1/4*1/7 = 1/84Monica makes tomato sauce with the plants she grows in her garden. She uses 3 basil leaves in her sauce for every 8 tomatoes. She is making a big batch of sauce with 32 tomatoes from her garden.
Answer: 12 Basil leaves
Step-by-step explanation:
Given
Monica uses 3 basil leaves for every 8 tomatoes
For 32 tomatoes she needs
[tex]\Rightarrow 3\ \text{basil leaves}\equiv8\ \text{Tomatoes}\\\\\Rightarrow 4\times 3\ \text{basil leaves}\equiv4\times 8\ \text{Tomatoes}\\\\\Rightarrow 12\ \text{basil leaves}\equiv 32\ \text{Tomatoes}[/tex]
Thus, she needs 12 basil leaves.
The distance from Clinton to Greenville is 124 miles. To find the speed of a car, use the expression d divided t, where d represents the distance and t represents time. Find the speed of a car that travels from Clinton to Greenville in 2 hours
Step-by-step explanation:
time = 2 hours
distance travelled(d) = 124 miles
so
speed = d/t
= 124/2
= 62 miles per hour
Therefore, the speed of car is 62 miles per hour.
What is the percent of change from 45to56
Answer:
24.44%
Step-by-step explanation:
initial value :45
final value:56
change in value= 56-45=11
percentage change= 11
[tex] \frac{11}{45} \times \frac{100}{1} [/tex]
[tex] \frac{1100}{45} [/tex]
=24.44%
Answer:
24.44%
Step-by-step explanation:
Çhange =56-45
=11
Percentage change =change/previous change ×100%
Percentage change=11/45 ×100%
=0.2444444×100%
=24.4444%
HURRY PLEASE!
Evaluate –5u for u = –4.
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{-5u}[/tex]
[tex]\huge\textsf{= -5(-4)}[/tex]
[tex]\huge\textsf{= 5(4)}[/tex]
[tex]\huge\textsf{= 20}[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{20}}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
kiro and lito were assigned the same book to read for a class. kiro started reading on Saturday, and he's reading 20 pages a day. Lito didn't start until Sunday, but he is reading 25 pages a day. How many days will it take Lito to catch up to kiro and how many pages will they have each read?
what system of equations represents this situation and how do you solve it?
How can this quadrilateral be classified?
Select each correct answer.
O trapezoid
O square
O rhombus
O parallelogram
Answer:
Rhombus, Square, Parallelogram :)
Step-by-step explanation:
I just did this question and I got the three answers above right. I hope this helps!
The number of days ahead travelers purchase their airline tickets can be modeled by an exponential distribution with the average amount of time equal to 15 days. Find the probability that a traveler will purchase a ticket fewer than ten days in advance. How many days do half of all travelers wait
Answer:
The right answer is:
(a) 0.4866
(b) 10.3972
Step-by-step explanation:
Let X be the number of days,
X is [tex]exp(\lambda)[/tex],
⇒ [tex]\lambda =\frac{1}{15}[/tex]
now,
⇒ [tex]F_x(x) = P(X \leq x)[/tex]
[tex]=1-e^{-\lambda x}[/tex]
[tex]=1-e^{-\frac{x}{15} }[/tex]
or,
[tex]x>0[/tex]
(a)
⇒ [tex]P(X<10)=F_x(10)[/tex]
[tex]=1-e^{\frac{10}{15} }[/tex]
[tex]=1-e^{\frac{2}{3} }[/tex]
[tex]=0.4866[/tex]
(b)
If the medium be m, then
[tex]P(X=m) = \frac{1}{2}[/tex]
[tex]=2^{-1}[/tex]
⇒[tex]1-e^{-\frac{m}{15} } = \frac{1}{2}[/tex]
[tex]e^{-\frac{m}{15} } = 2^{-1}[/tex]
[tex]m= 15\ ln2[/tex]
[tex]=10.3972[/tex]
I need the answer to this
complete the table
x - 2 7 10
y - 30 36
Answer:
x-15
y 42
Step-by-step explanation:
Please hurry I will mark you brainliest
What is the equation of the line parallel to y = 2x - 4 and with the same x - intercept as 3x – 4y = 12?
Answer:
y=2x-8
Step-by-step explanation:
Hi there!
We want to find an equation of the line parallel to y=2x-4 but has the same x intercept as 3x-4y=12
Parallel lines have the same slope, but different y intercepts
In y=2x-4, which is written in y=mx+b form, m is the slope and b is the y intercept
2 is in the place of where the slope would be, so the slope of that line is 2
That means the slope of the line parallel to it would also have a slope of 2
Here is the equation of the parallel line so far:
y=2x+b
We need to find b, the y intercept
Typically, we'll substitute a point into the equation to solve for b, but we don't have a point, yet
We're given that the new line has the same x intercept as 3x-4y=12
The x intercept is the point where the line passes through the x axis, and so the value of y at that point is 0
Let's substitute 0 for y in 3x-4y=12 and solve for x to find the x intercept
3x-4(0)=12
Multiply
3x=12
Divide both sides by 3
x=4
So the value of the x intercept is 4. As a point, it's (4,0)
So now substitute the values of the point (4,0) into y=2x+b to find b
0=2(4)+b
Multiply
0=8+b
Subtract 8 from both sides
-8=b
Substitute -8 as b into the equation
y=2x-8
Hope this helps!
Which number lines have points that represent additive inverses? Check all
that apply
-54-3 -2 -1 0
1
2
3
4 5
-513 2-1
0
1
2.
3
4 5
5 4 3 2 1
1
2
3 4
-54-3-2-1
0
1
2
3 4 5
Answer:
2nd and fourth one
Step-by-step explanation:
I just did it and if you look at both of them and if you look closely they each have a negative and a positive
The mean age of the students in this class is 15.75. The standard deviation is 1.55. Determine the number of standard deviations from the mean required to include
of the ages listed.
13, 17, 18, 15, 16, 14, 15, 18, 17, 16, 15, 16, 13, 15, 17, 17
Answer:
1.774 standard deviations
Step-by-step explanation:
From the data, the minimum value is x = 13 and the maximum value is x' = 18. The mean X = 15.75 and the standard deviation, σ = 1.55.
The difference between the mean and the minimum value is the deviation from the mean. So, X - x = 15.75 - 13 = 2.75. To find the number of standard deviations this is, we divide it by the standard deviation, σ = 1.55.
So, 2.75/1.55 = 1.774.
So, the number of standard deviations to contain the value 13 is 1.774σ
Also, the difference between the maximum value and the mean is the deviation from the mean. So, x' - X = 18 - 15.75 = 2.25. To find the number of standard deviations this is, we divide it by the standard deviation, σ = 1.55.
So, 2.25/1.55 = 1.452.
So, the number of standard deviations to contain the value 18 is 1.452σ
Since 1.774σ > 1.452σ and 1.774σ would contain both the values of 13 and 18, the number of standard deviations from the mean required to contain the values is 1.774 standard deviations.
A piece of land is 20cm by 5cm. A portion of the land by size 10cm by 2cm was used to cultivate tomatoes. what is the area of the land?
Answer:
80cm^2
Step-by-step explanation:
20*5=100
10*2=20
100-20=80
Which equation is equivalent to
= 27x+2?
3*-3-3x+2
3* - 33x+6
3-*- 33x+2
3-* - 33x+6
Answer:
D
Step-by-step explanation:
(1/3)^x=27^(x+2)
3^(-x)=3^(3(x+2))
3^(-x)=3^(3x+6)
Number 2 let’s see who knows???
Answer:
13-3=10
10-4=6
Step-by-step explanation:
man id hate to have to do this work literally just use your fingers or something
3. The volume of a cube is 216 cm'. What is the length of one side?
O 6 cm
6 cm3
72 cm
O 72 cm
Answer:
6 cm
Step-by-step explanation:
6 cm×6cm×6cm=216 cm³
pls pls pls help meeeeee
Answer:
i think you just extend the coordinates to the side, except the right point, by 3, and then the bottom ones go down by 3, and the top one goes up by 3
Step-by-step explanation:
There are 35 times as many students at Wow University as teachers. When all the students and teachers are seated in the 8544 seat auditorium, 12 seats are empty. How many students attend Wow University.
A. 237
B. 249
C. 8295
D. 8124
Answer:
C. 8296
Step-by-step explanation:
Answer:
c.8295
Step-by-step explanation:
8544-12 = 8532
8532-237 =8295
find the inequality represented by the graph
Answer:
y < 5/2x + 5
Step-by-step explanation:
slope goes up 5, then over 2 ( 5 on top, 2 on bottom --> 5/2)
y intercept is +5
Answer:
Plug your slope and a point into the formula y = mx + B, in which "m" is the slope, (x, y) is a point on the line and "b" is the y-intercept, to find the equation governing the inequality line. Plugging in (0, 0), you obtain 0 = 0 + b, so b = 0. Rewriting the equation, you obtain y = x/2
what is soil erosion
Answer:
Soil erosion is the natural process in which the topsoil of a field is carried away by physical sources such as wind and water. In this process, the soil particles are loosened or washed away in the valleys, oceans, rivers, streams or far away lands.
It occurs when the impact of water or wind separates and removes soil particles, causing the soil to deteriorate. Soil deterioration and low water quality due to erosion and surface runoff have become severe problems worldwide.
PLEASE HELP PLEASE!!!! AB←→||CD←→ . Find the measure of ∠BFG.
Answer:
BFG = 135
Step-by-step explanation:
The angles are alternate interior angles and alternate interior angles are equal when the lines are parallel
3x+15 = 5x-5
Subtract 3x from each side
3x+15-3x = 5x-5-3x
15 = 2x-5
Add 5 to each side
15+5 = 2x-5+5
20 = 2x
Divide by 2
20/2 = 2x/2
10 =x
We know that AFG + BFG = 180 since it forms a straight line
AFG + BFG = 180
3x+15 + BFG = 180
3(10) + 15 + BFG = 180
30+15 + BFG = 180
45 + BFG = 180
BFG = 180-45
BFG = 135
Answer:
<BFG = 135
Step-by-step explanation:
They are the same angle, so they will be equal to eachother.
3x + 15 = 5x - 5
-3x -3x
----------------------
15 = 2x - 5
+5 +5
-----------------------
20 = 2x
----- ----
2 2
10 = x
3(10) + 15
30 + 15
45
180-45 = 135
The answer is 135.
What is the missing reason in the proof? Given: ∠ABC is a right angle, ∠D B C is a straight angle Prove: ∠ABC ≅ ∠A B D A horizontal line has points D, B, C. A line extends vertically from point B to point A. Angle A B C is a right angle. definition of angle bisector segment addition property definition of congruent angles transitive property
Answer:
Definition of Congruent angles.
Step-by-step explanation:
Given
See attachment
Required
Complete the proof at step 8
At step 8, we have:
[tex]\angle ABC \cong \angle ABD[/tex]
When the sign [tex]\cong[/tex] is used, it means congruence
In other words;
ABC and ABD are congruent
Hence, the missing statement at step 8 is: Definition of Congruent angles.
Answer:
ABC and ABD are congruent
Step-by-step explanation:
Utilize graphing to find the solution to
the following system of equations.
4x + 3y = 25 AND y = -5x + 1
([?], [])
Answer:
you guess any value of x and then you substitute any three values for example for the first equation you can guess the value of x to be 1 or 2 or 3
if cos7x-cos8x/1+2cos5x=cos(ax)-cos(bx),where a,b are positive integers, then a²+b²=??
pls help! :(
Step-by-step explanation:
[tex]hope \: its \: helful[/tex]
if cos7x - cos8x/1 + 2cos5x = cos(ax) - cos(bx), where a, b are positive integers, then a²+b²= 100.
The given equation is:
cos7x - cos8x/1 + 2cos5x = cos(ax) - cos(bx)
The LHS can be expanded as follows:
cos7x - cos8x/1 + 2cos5x = (2*cos4x*sin3x)/(2*cos2x) = sin3x
The RHS can be expanded as follows:
cos(ax) - cos(bx) = -2sin((a + b)/2)*sin((a - b)/2)
For the given equation to be true, the following must be true:
sin3x = -2sin((a + b)/2)*sin((a - b)/2)
3x = 180(a + b)/2
3x = 180(a - b)/2
Solving for a and b, we get a=6 and b=3.
Therefore, a² + b² = 6² + 3²=100.
To learn more about positive integers, here
https://brainly.com/question/26051073
#SPJ2
The graph below shows a proportional relationship between y and x .
What is the constant of proportionality?
y/x?
Answer:
49/1
Step-by-step explanation:
The point is on (1,49)
Find m arc DC.
Please help!
Answer:
51
Step-by-step explanation:
i need serious helpplease its confusing....
area: 40p² + 24p
wide: 8p
(40p² + 24p)/ 8p
5p + 3
so, length: 5p + 3 -> (a)
perimeter = wide x 2 + length x 2
16p + (10p + 6)
26p + 6 -> (b)
Help fast!
Describe at least two ways to find or
estimate the year the population of the town
will be 40 thousand. (You don't have to
actually find the value.)
