The equation represents the line that passes through (–6, 7) and (–3, 6) [tex]\rm y=\dfrac{-1}{3}x+5[/tex].
What is the slope of the equation?For all lines in slope y-intercept form, it would be very simple to just find the answer by finding yourself the slope and y-intercept of the line in question.
The slope of the line is;
[tex]\rm m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m =\dfrac{7-6}{-6-(-3)}\\\\m = \dfrac{1}{-3}[/tex]
The equation represents the line that passes through (–6, 7) and (–3, 6) is;
[tex]\rm y=\dfrac{-1}{3}x+b\\\\6=\dfrac{-1}{3}(-3)+b\\\\6=1+b\\\\b = 6-1\\\\b=5[/tex]
The required line of the equation is;
[tex]\rm y =mx+c\\\\y=\dfrac{-1}{3}x+5[/tex]
Hence, the equation represents the line that passes through (–6, 7) and (–3, 6) [tex]\rm y=\dfrac{-1}{3}x+5[/tex].
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Answer:
I'm pretty sure the answer is B sorry if I'm wrong
Step-by-step explanation:
If number of electricity power failures occur according to a Poisson distribution with an average of 4 failures per 5 months. 12. What is the probability that there will be at least one failure during the coming month
Answer:
123
Step-by-step explanation:
can someone help me out with this question
bh step by step procedure?
Answer:
60°
Step-by-step explanation:
the angle Θ between vectors a and b is
cosΘ = [tex]\frac{a.b}{|a||b|}[/tex] = [tex]\frac{\frac{15}{2} }{3(5)}[/tex] = [tex]\frac{\frac{15}{2} }{15}[/tex] = [tex]\frac{1}{2}[/tex] , then
Θ = [tex]cos^{-1}[/tex] ( [tex]\frac{1}{2}[/tex] ) = 60°
Answer:
cos θ= 60°
Step-by-step explanation:
cos θ= a . b/।a। ।b।
=15/2/3×5
=15/30
=1/2
cos θ=cos60°
θ=60
PLEASE HELP 75 POINTS
Answer:
Top of one step: 2.5 ft
Front of one step: 1.25 ft
One side of stairs: 5 ft
Total surface area: 25 ft
Help please
Number 4
Answer:
you need to enlarge the picture so I can see it
Step-by-step explanation:
Then I'll edit my answer and do the problem.
Which of the numbers below are common multiples of 4 and
6? Select all that apply.
A) 8
B) 12
C) 18
D) 24
E) 48
Answer:
B, D, E
Step-by-step explanation:
a system of equations is shown. 4x-y=5 y=-3 what is the value of x in the solution to this system
Answer:
x = 1 / 2 ( or ) 0.5
Step-by-step explanation:
4x - y = 5
Substitute the value of y = - 3 in the given equation,
4x - ( - 3 ) = 5
4x + 3 = 5
4x = 5 - 3
4x = 2
x = 2 / 4
x = 1 / 2 ( in terms of fraction )
( or )
x = 0.5 ( in terms of decimal )
Note : -
- ( - 3 ) can be written as - 1 x ( - 3 ).
When a negative number is multiplied with another negative number, the result will be positive number.
Hence,
- ( - 3 ) = + 3
pls help me and if you dont know the answer dont answer this
Answer:
A no. is correct
Step-by-step explanation:
Hope it will help you..
-2x+2y=-2
3x+2y=8
solve the system of equations
Answer:
The answer to the first equation is x=y+1
The answer to the second equation is x= -2/3 y+8/3
Step-by-step explanation:
Equation Solver
What do you want to calculate?
Solve for Variable
Graph
Solve for:
x
Let's solve for x.
−2x+2y=−2
Step 1: Add -2y to both sides.
−2x+2y+−2y=−2+−2y
−2x=−2y−2
Step 2: Divide both sides by -2.
−2x
−2
=
−2y−2
−2
x=y+1
Answer:
x=y+1
2. Let's solve for x.
3x+2y=8
Step 1: Add -2y to both sides.
3x+2y+−2y=8+−2y
3x=−2y+8
Step 2: Divide both sides by 3.
3x/3=-2y+8/3
x=-2/3 y+8/3
Answer:
x= -2/3 y+8/3
[tex]\large\color{pink}{{★ƛƝƧƜЄƦ ↦}}[/tex]
↪ By Substitution method
⇒Eq.1
-2x+2y=-2y = -2 +2xSoo value of y => y = 2x-2
↪ Substituting y= 2x-2 in ( 3x+2y = 8)
3x+2(2x-2)=83x+4x-4=8 (solving like terms)6x=12[tex]x = \cancel \frac{12}{6} [/tex]x = 2↪ Substituting x = 2 in eq 1 to get y
-2x+2y=-2-2(2)+2y=-2-4+2y=-2(solving like terms)2y= -2+42y= 2[tex]y = \cancel\frac{2}{2} [/tex]y=1↪ hence, (2,1) is the solution ~
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
Two unique letters are chosen at random from the alphabet. What is the approximate probability that the first letter chosen is a? 0. 0385 0. 0400 0. 0769 0. 800.
Answer:
Option A :- 0. 0385
Step-by-step explanation:
Since a is the first letter in the alphabet
and in total there are 26 alphabet
We divide 1 by 26
⇢ 1 ÷ 26
⇢ 0.038461538461538
⇢ 0. 0385
Probability = 0. 0385
~Done~
Answer:
[tex]\huge\boxed{\bf\:0. 0385}[/tex]
Step-by-step explanation:
Told number of alphabets in the English language
= {A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z}
= 26 alphabets.
Out of all these 26 alphabets, we need to find the probability that the letter chosen at random will be 'A'.
Probability that the letter chosen at random is 'A'
= Alphabet 'A' / Total number of letters
= 1/26
= 0.0385
[tex]\rule{150pt}{2pt}[/tex]
a cube numbered 1-6 is rolled 30 times and lands on an even number 18 times how does the frequency based on the probability of the number cube landing on an even number
Factor. Step by step.
Answer:
(3x-2)^2
Step-by-step explanation:
3^2x^2-2*3x*2+3^2
(3x)^2 -2*3x*2+2^2
And youll get (3x-2)^2
the diagram shows a right angled triangle 15cm 37 degrees
Answer:
h = 11.3 cm
use tane rule:
[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
Here:
x = 37°opposite = hadjacent = 15 cm=========
[tex]\hookrightarrow \sf tan(37)= \dfrac{h}{15}[/tex]
[tex]\hookrightarrow \sf h = tan(37) * 15[/tex]
[tex]\hookrightarrow \sf h = 11.3 \ cm[/tex]
Select all ratios that are in their simplest form.A 25:21B 4:22C 6:28D 5:25E 30:27
Find the lateral surface area of the cylinder. Use 3.14 for π, and round your answer to the nearest hundredth. Refer to your STAAR 8th Grade Math Reference Sheet for the appropriate formula.
A) 376.99 cm2
B) 362.16 cm2
C) 367.59 cm2
D) 354.18 cm2
I have a 10 question quiz that I'm really struggling on because i don't know how to work out problems like these, so if someone could please help me that would be great.
The area of the cylinder is the amount of space on it.
Using the assumed values, the lateral surface area of the cylinder is 314 square centimeter
How to determine the lateral surface area?The lateral surface area of a cylinder is:
L = 2πrh
The question is incomplete. Assume the following parameters
Radius, r = 10
Height, h = 5.
Then we have:
L = 2 * 3.14 * 10 * 5
Evaluate the product
L = 314
Using the assumed values, the lateral surface area of the cylinder is 314 square centimeter
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store pays $50 for a pair of shoes. The markup is 25%.
a. What is the selling price for the shoes?
The selling price is $_
.
Question 2
b. What is the total cost for a person to buy the shoes including a 6% sales tax?
The total cost is $_
.
Answer:
75%
Step-by-step explanation:
Answer:
The selling price is $62.50 And b is is 75%
Step-by-step explanation:
What is the measure of z?
Given an array of integers nums and an integer target, return indices of the two numbers such that they add up to target.
We can try for loops along with conditional statements to get the indices of the needed numbers.
What is zero-based indexing?Zero-based indexing indexes the elements of an array or such container starting from 0, instead of starting from 1 (which is what we usually do in real life).
For this case, assuming we want to write code in python, and array being simple list, plus we want the index of only first two numbers found which add up to the target, we have:
for idx_1 in range(len(arr)//2 + 2):
num_1 = arr[idx_1]
found = 0
for idx_2 in range(idx_1 + 1, len(arr)):
num_2 = arr[idx_2]
if target == num_1 + num_2:
print(idx_1, idx_2)
found = 1
break
if found: break
Here we used 'range' function for first loop, which defaulty generates integers from 0, but can generate integers from whatever integer. Like in the second loop, it generates number from idx_1 + 1. Also, it doesn't include the last integer, given by the upper limit for the range.
This python code gives the indices of a pair of two numbers from the array given which adds up to the target.
Thus, we can try for loops along with conditional statements to get the indices of the needed numbers.
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At a high school, the probability that a student is a senior is 0.25. The
probability that a student plays a
sport is 0.20. The probability that a student
is a senior and plays a sport is 0.08.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
• A. 0.08
O B. 0.32
• C. 0.17
D. 0.25
Answer:
B. 0.32
I guessed and it was right
The probability that a randomly selected student plays a sport, given that the student is a senior, is 0.32.
The correct answer is B. 0.32.
To find the probability that a randomly selected student plays a sport, given that the student is a senior, we can use the formula for conditional probability:
P(plays a sport | senior) = P(plays a sport and senior) / P(senior)
Given that P(plays a sport and senior) = 0.08
and P(senior) = 0.25,
we can substitute these values into the formula:
P(plays a sport | senior) = 0.08 / 0.25
P(plays a sport | senior) = 0.32
Therefore, the probability that a randomly selected student plays a sport, given that the student is a senior, is 0.32.
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Needing help badlyyyyyy
Answer:
D, D, B
Step-by-step explanation:
multiply 744 by 1,000 to get your meters.
7 times the cost of each lawn, X will equal 210.
25 minus 12 is 13
this holds true for the one below also
solve for x x(x+3)=2(x+15)
Answer:
x = -27
Step-by-step explanation:
x(x+3)=2(x+15)
x+3=2x+30
x+3-2x+30
x-2x=30-3
-x=30-3
-x=27
x = -27
you flip a coin and get heads 11 times, so the chance of getting heads in 11/30. Is this an example of theoretical or expiremntal probabilty
A bus travels 25 yards in 1 second. How many miles will it travel in 2 hours?
Answer:
102 miles
Step-by-step explanation:
In 2 hours there are 7200 seconds ([tex]60*60 = 3600 * 2 = 7200[/tex])
In one second the bus travels 25 yards, so; [tex]7200 * 25 = 180,000 yards[/tex]
Converting yards to miles is: [tex]x (yards) / 1760[/tex]
[tex]180000/1760 = 102.2727272...[/tex]
∴ The bus will travel 102 miles in 2 hours.
Find the area of each face of the triangular prism and the total surface area.
20 cm
10 cm
6 cm
20 cm
8 cm
Answer:
Area: Bottom face: A = (20 cm)(8 cm) = 160 cm²
Back face: A = (20 cm)(6 cm) = 120 cm²
Sloped face: A = (20 cm)(10 cm) = 200 cm²
Total: 528 cm²
Step-by-step explanation:
Hope this helps!
How to get rid of a square root in the denominator?.
Step-by-step explanation:
you multiply both the top and bottom by the root if it was alone.
let's say if we had (1 - sqrt(2)) in the denominator. here we multiply both the numerator and the denominator by the conjugate.
the conjugate is formed by changing the sign between two terms in a binomial. so in this case the conjugate is
(sqrt(2) -1)
make sure to ask if you need any further guidance :)
triangle with side lengths 4 feet, 5 feet, and 8 feet
Answer:
Yed, it is possible as
Step-by-step explanation:
4 + 5 = 9
So, sum of two sides of a triangle is always greater than the third side(largest one)
Can someone help me
Answer:
A) 24
Step-by-step explanation:
½(6)(6+2) = ½ (48) = 24
om was in a contest at the library to read as many book as wiree months. At the end of the content he camerkets for the he read. The table below shows on tumber of cok read canh *** BOOKS SAM READ Month January February March Number of Books 15 13 16 Mam was able to buy a prize for every 5 tickets he had earned. Sam bought as many prizes as he could with his tickets? How many prizes was sam able to buy 2 Show your work and explain your answer.
The number of prizes that Sam was able to buy based in the division illustrated is 17 prizes.
How to calculate the prize?The total number of books that was read will be:
= 15 + 13 + 16
= 44 books
Since he earned 2 tickets for each bok read, the number of tickets gotten will be:
= 2 × 44
= 88
Finally, Sam was able to buy a prize for every 5 tickets he earned. Therefore, the number of prizes will be:
= 88/5
= 17 tickets
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I do not know this answer Write an expression for the operation described below.
add a to 4
Answer:An expression for the sequence of operations described is: In this exercise, you're required to write an mathematical (algebraic) expression
Step-by-step explanation:hope this can help you :)
The bus will leave in 38 minutes. what time will it leave ?
Answer:
4:08
Step-by-step explanation:
The current time is 3:30, 38 minutes later would be 4:08
Daniel earns $5.00 an hour babysitting. He babysat 6 hours Friday and more hours Saturday, and he earned
$55.00 for the weekend. How many hours did he babysit on Saturday?
A. 5
B. 11
C. 9
D. 6
Answer:
5
Step-by-step explanation:
First divide 55 by 5 to find the number of hours he sat in total. Then subtract the 6 he sat on friday.