Answer:
11x - y = - 24Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the line first find the slope
Slope of the line using points
(-2,2)and(-3,-9) is
[tex]m = \frac{ - 9 - 2}{ - 3 + 2} = \frac{ - 11}{ - 1} = 11[/tex]
Then use the formula
y - y1 = m(x - x1)
where
m is the slope
( x1 , y1) can be any of the points
Equation of the line using point (-2,2) and slope 11 is
y - 2 = 11 ( x + 2)
y - 2 = 11x + 22
11x - y = - 2 - 22
We have the final answer as
11x - y = - 24Hope this helps you
Find the y-intercept of the following equation. Simplify your answer.
y
=
–6
7
x
+
5
9
y-intercept =
Answer:
Y-intercept: 59
Step-by-step explanation:
Y=mx+b, in which b stands for y intercept
Answer:
59
Step-by-step explanation:
Question - Find the y-intercept of the following equation. Simplify your answer.
We write graphical equation as:
y = mx + b
where:
y: point on y axis
m: gradient/ slope (RISE/RUN)
x: point on x axis
b: y intercept (point where the line touches the y axis)
Now in:
y = –6 7 x + 5 9
y-intercept = 59
Direct Variation: If y = 9, when x = -3, find x when y = -27. a.9 b.27 c.-27 d,-9
Answer:
a. 9
Step-by-step explanation:
[tex]k = \frac{9}{-3} = -3\\y = -3x\\-27 = -3x\\\frac{-27}{-3} = \frac{-3x}{-3} \\9 = x[/tex]
Answer:
a. 9
Step-by-step explanation:
because the orginal number was 9 and the newer one is -27 we can determine that y was multiplied by -3 so you would apply the same rule to -3 or x and you would get a product of 9 because two negatives equals a postive
The base of this solid crate has an area of 6 square meters. The height of the crate is 4 meters. What is the volume of the crate?
Answer: 24 m^3
Step-by-step explanation:
Given that you have a base with an area of 6 square meters, it has already calculated the product of length and width. In the Volume Formula Length x Width x Height, you're pretty much multiplying that given area by a height of 4, since you already have that length and width in the form of 6 square meters. The result you'll have is 24 Meters Cubed.
find the lowest common multiple of 8 and 6
Answer:
24
Step-by-step explanation:
8x3
6x4
Answer:
24
Step-by-step explanation:
LCM is the Lowest Common Multiple
To find the LCM of 2 numbers, first list a few of the first multiples of each number:
8 = 8,16,24,32,40
6 = 6,12,18,24,30
Here, we notice that 24 is the first multiple that is common in both times tables. Thus, 24 is the LCM
hope this helps
How many combinations of 3 balloons can be chosen from 4 balloons?
Answer: 24
Step-by-step explanation:
You have 4 balloons to choose from.
Once you have chosen a balloon, there are 3 remaining to choose from. When you choose another balloon, there are only 2 remaining.
First pick and Second pick and Third pick
4 x 3 remaining x 2 remaining = 24
Given the translation T(-2, 5), translate the given ordered pairs: (2, 5) and (-1, 7)
Answer:
When we have a translation T(a, b) and we apply it to a ordered pair (x, y), the translated pair will be (x + a, y + b)
Here whe have the translation T(-2, 5)
a) if our pair is (2, 5) then:
T(-2, 5) applied to (2, 5) = (2 + (-2), 5 + 5) = (0, 10)
b) if our pair is (-1, 7)
T(-2, 5) applied to (-1, 7) = (-1 + (-2), 7 + 5) = (-3, 12)
Use the table of reciprocals to find the reciprocal of these numbers:
0.000 080 25
0.9596
Answer:
1000000/8025 = 40000/321 (simplified)
1000/9596
Step-by-step explanation:
Hi there,
There is an alternative way to do this....
First it is important to understand what a reciprocal is. The reciprocal of any number x is the number 1/x. The reciprocal of a number is also its multiplicative inverse, which means that the number times its reciprocal must equal 1. For a number such as 2, the reciprocal would be 1/2. For a fraction such as 2/5, the reciprocal would be 5/2.
Finding the reciprocal of a decimal can be done in a number of ways.
Change the decimal to a fraction first.
Ex. 0.25 is 25/100 and is equivalent to the fraction 1/4. Therefore Its reciprocal would be 4/1 or 4.
Keep the decimal and form the fraction 1/?? which can then be or converted to a decimal.
Ex. 0.75 The reciprocal is 1/0.75. Using a calculator, the decimal form can be found by performing the operation: 1 divided by 0.75. The decimal reciprocal in this case is a repeating decimal, 1.33333....
After finding a reciprocal of a number, perform a quick check by multiplying your original number and the reciprocal to determine that the product is 1:
(0.25)(4) = 1.00
(0.75)(1.33....) = 1 but it is easier to see for sure with repeating decimals if you use the fractions instead of the decimals.
(3/4)(4/3) = 12/12 = 1
Hope this helps, Mark as brainliest if liked it! thanks!
Find the range of values for which
Answer:
I don't understand the question
The function f(x) = x + is used to complete this table.
A 2-column table with 4 rows. The first column is labeled x with entries negative 1, 0, 1, 2. The second column is labeled f of x with entries 1, three-halves, 2, five-halves.
Which statements are true of the given function? Check all that apply.
fStartFraction negative 1 Over 2 EndFraction = –2
f(0) = three-halves
f(1) = –1
f(2) = 1
f(4) = seven-halves
Answer:
b & e
Step-by-step explanation:
The statements that are true of the given function are f(0)=3/2 and f(4)=7/2. This can be obtained by finding the function and checking the values of given in the question.
Check which statements are true :
Given, f(-1/2)= -2
f(0)= 3/2
f(1)= -1
f(2)= 1
f(4)= 7/2
The function is of the form, f(x)= mx +b
where m is the slope of the line and b is the cutting point with the y axis.
For x=0, the value of the function is f(0)=3/2
⇒b=3/2 and m=1/2
∴ The function is f(x) = (1/2)x + 3/2
f(-1/2) = (1/2)(-1/2) + 3/2 =5/4
f(0) = (1/2)(0) + 3/2 = 3/2
f(1) = (1/2)(1) + 3/2 = 2
f(2) = (1/2)(2) + 3/2 = 5/2
f(4) = (1/2)(4) + 3/2 = 7/2
Hence the statements that are true of the given function are f(0)=3/2 and f(4)=7/2.
Learn more about functions here:
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12e^5 divided 3e^3 simplified
Answer:
[tex]4 {e}^{2} [/tex]
Step-by-step explanation:
[tex] \frac{12 {e}^{5} }{3 {e}^{3} } \\ 12 \div 3 \times {e}^{5 - 3} \\ = 4 {e}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Nishchal was listening to a song. Shown above are the views of his player showing 'Time elapsed' and 'Time remaining' for the song in minutes and seconds. What is the total duration of the song?
Answer: T = time remaining + time elapsed.
Step-by-step explanation:
Time elapsed means the time that he has been listening to the song (the minutes passed since he hits the play button)
Time remaining is the time left to finish the song.
Then the total duration of the song will be:
T = time remaining + time elapsed.
"Time Elapsed" simply refers to the time which has been spent listening to the music track. The "time remaining" on the other hand is the time left on for the song to come to an end. Song duration is the addition of both.
How to calculate the total duration of the songPlease note that the information from the question required to give a well-rounded answer is incomplete. Hence the general answer.
To calculate the time duration of the song (which is the total length of the song in terms of time) the Time Elapsed must be added to the Time Remaining.
That is:
Total Duration = Time Elapsed + Time Remaining.
See the link below for more about Song Duration:
https://brainly.com/question/14701526
PLEASE HELP!! QUICK. MULTIPLE CHOICE
Answer:
4 is a
Step-by-step explanation:
Please help! Correct answer only!
Cooper and Alice made a list of 7 psychology experiments they want to try at home. Each experiment tackles one specific psychology topic. 5 of the experiments involve cats.
If Cooper and Alice randomly choose 4 experiments to try over the summer, what is the probability that all of them involve cats?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability = 0.2603
Step-by-step explanation:
Consider the steps below;
[tex]Probability of Experiment Involving Cats - 5 / 7,\\Probability That 4 Chosen Experiments Are All Involving Cats - ( 5 / 7 )^4,\\\\5 / 7 * 5 / 7 * 5 / 7 * 5 / 7 =\\\\Conclusion; Probability - 625 / 2401[/tex]
Solution; Probability = ( About ) 0.2603
The solutions to the inequality y ≤ −x + 1 are shaded on the graph. Which point is a solution?
It should be B children
Bye giggity giggity gamers! nyah :3
Calculate the exact value of
70/15 × 14/5
Answer:
14^2/15
Step-by-step explanation:
70/15 simplifies to 14/3
14/3 X 14/5
= 14^2/15
Reid's Hardware discounts all riding lawnmowers 6% to customers paying in cash. If Trey paid $1,278.75 in cash for a riding lawnmower, then what was the original price of the lawnmower?
Answer:
$ 1360.37
Step-by-step explanation:
Suppose we call the original price of the lawnmower x.
That means, to get a discount, the equation would be,
x * 1 - x * 6% = 1278.75
= (94/100) * x = 1278.75
= (47/50) * x = 1278.75
x = 1278.75 * 47 / 50
= 1360.37
as an estimation 5 miles is 8km. convert 16km to miles
Answer:
if its 8 to 5 then 16 is 10
answer: 10 miles
Answer:
10 miles
Step-by-step explanation:
8 km = 5 miles
So, Let's use the unitary method
1 km = [tex]\frac{5}{8}[/tex] miles
Multiplying both sides by 16, we get
16 km = [tex]\frac{5}{8} * 16[/tex] miles
16 km = 5 × 2 miles
16 km = 10 miles
we can describe 15x-10 as an expression we would describe 9+5=32 as an...
Answer:
equation
Step-by-step explanation:
Equations have equals signs, expressions do not
15x-10 is an expression
9+5 = 32 is an equation ( it is a wrong equation)
Students in a political science course were asked to describe their politics as "Liberal", "Moderate", or "Conservative." Here are the results:
Politics
Liberal
Moderate
Conservative
Total
Female
40
34
14
88
Male
48
50
26
124
Total
88
84
40
212
Given that the student is male what is the probability that he considers himself to be a "Liberal"? Round your answer to three decimal places if necessary.
a.
0.226
c.
0.387
b.
0.415
d.
0.455
Please select the best answer from the choices provided
A
B
C
D
Answer:
Answer is a (A)
Step-by-step explanation:
Answer is a (A)
It is known that 60% of the students at a large university have a job and 40% do not have a job. If three of these students are randomly selected, what is the probability at least one does not have a job? (Hint: the compliment of this event is all three have jobs.)
Answer:
78.4% probability at least one does not have a job
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they have a job, or they do not have a job. The probability of a student having a job is independent of other students. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
60% of the students at a large university have a job
This means that [tex]p = 0.6[/tex]
Three of these students are randomly selected
This means that [tex]n = 3[/tex]
What is the probability at least one does not have a job?
Either all of them have a job, or at least one does not. The sum of the probabilities of these events is decimal 1. So
[tex]P(X < 3) + P(X = 3) = 1[/tex]
We want P(X < 3). Then
[tex]P(X < 3) = 1 - P(X = 3)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.6)^{3}.(0.4)^{0} = 0.216[/tex]
[tex]P(X < 3) = 1 - P(X = 3) = 1 - 0.216 = 0.784[/tex]
78.4% probability at least one does not have a job
I need help ASAP I shall give brainlyist (idk how to spell)
Answer:
Step-by-step explanation:
Part A
[tex]V=\pi r^2h=\pi *2.5^2*7.5=147.26\\=147in^3\\[/tex]
Part B
[tex]r=\sqrt{\frac{V}{\pi h} } \\=\sqrt{\frac{75}{\pi *6} } \\=1.99\\=2in[/tex]
HELPPPPP PLZZZ
2) Tom can paint a fence in 12 hours. Huck can paint the same fence in 10 hours. How long would it take to put two coats of paint on the fence if Tom and Huck work together? Answer as an improper fraction, then round to 1 decimal place.
3) Kim and Josh can clean a house together in 3 hours. If it takes Kim 7 hours to clean the house by herself, how long would it take Josh to clean the house alone? Leave your answer in improper fraction form, then convert to a decimal.
4) Jack can mow the baseball grounds in 2 hours; Mike can mow the same grounds in 3 hours; and Chris can mow the grounds in 4 hours. How long will it take to mow the baseball grounds if Jack, Mike, and Chris work together?
Leave your answer in proper fraction form, then round to 1 decimal place.
Using your rounded answer, how many minutes would that be?
Answer:
1st answer
Step-by-step explanation:
Another way to say 2 coats is
to paint the fence twice
Also, that is the same as painting
2 identical fences
---------------
Tom's rate is:
+1%2F8+ = ( 1 fence ) / ( 8 hrs )
Huck's rate is:
+1%2F5+ = ( 1 fence ) / ( 5 hrs )
---------------------------
Let +t+ = the time in hrs for them
to paint 2 fences
+2%2Ft+ = ( 2 fences ) / ( t hrs )
---------------------------
+1%2F8+%2B+1%2F5+=+2%2Ft+
Multiply both sides by +40t+
+5t+%2B+8t+=+80+
+13t+=+80+
+t+=+6.154+
It will take them 6.154 hrs
2) They together will take 10.9 hrs or 120/11
3) josh will take 21/11 hrs or 1.9 hrs
4) Together they will take 36/13 or 2.8 hrs
Solutions to the above problem2) Tom takes = 12 hrs
Huck takes= 10hrs
We can aaply unitary method
together they will take= 1/12+1/10=2/t
11t=120;
t=120/11 or 10.9 hrs
3) Together kim and josh can clean the house together in = 3 hrs
Kim takes = 7hrs
Josh will take= 1/7+1/x=2/3
3x+21=14x
21=11x
x=21/11 or 1.9 hrs
4) Jack makes baseball grounds in= 2 hrs
Mike takes= 3 hrs
Chris takes= 4 hrs
Together they will take= 1/2+1/3+1/4=3/x
13x=36
x=36/13 or 2.8 hrs
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Ariele is hiking down into the canyon. She starts at the rim and hikes down 55 feet in 234 minutes. If she continues at this rate, where will Ariel be in relation to the rim after 15 minutes?
Answer:
This means that she will be 16.35 ft away from the rim in 15 minutes at this current rate.
Step-by-step explanation:
What we are asked here is imply to state how long in terms of distance would be Arielle position after 15 minutes
Now, 55 ft will take her 234 minutes
x ft will take her 15 minutes
x * 234 = 55 * 15
234x = 3825
x = 3825/234
x = 16.35 ft
This means that she will be 16.35 ft away from the rim in 15 minutes at this current rate.
After 15 minutes, Ariele would be 3.5 feet away from the rim.
What is speed?Speed is the ratio of distance travelled to total time taken. It is given by:
Speed = distance / time
Ariele is hiking down into the canyon. She starts at the rim and hikes down 55 feet in 234 minutes. Hence;
Ariele speed = 55 feet / 234 minutes
In 15 minutes, the distance covered is:
Distance = (55 feet / 234 minutes) * 15 minutes = 3.5 feet
After 15 minutes, Ariele would be 3.5 feet away from the rim.
Find out more on speed at: https://brainly.com/question/4931057
Math question plz try your best
Answer:
[tex]\frac{13}{4}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4} +\bigg(\frac{1}{3}\div\frac{1}{6}\bigg)-\bigg(-\frac{1}{2}\bigg)\\=\frac{3}{4} + \bigg(\frac{1}{3}\times\frac{6}{1}\bigg)+\frac{1}{2}\\=\frac{3}{4} +2 + \frac{1}{2}\\=\frac{3}{4} +\frac{8}{4} + \frac{2}{4}\\=\frac{3+8+2}{4} \\=\frac{13}{4} \\= 3.25[/tex]
Find the value of. (3° + 4 -¹) × 2²
Answer:
[tex]5[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Let f(x) = -3x^2 + 6x. Find f(2).
Answer:
0
Step-by-step explanation:
Substitute x for 2
-3(2)^2 + 6(2)
Order of operations says that exponents are next, so square the 2
-3(4) + 6(2)
multiply
-12 + 12
add
0
Answer:
The correct answer is 0
Hope it helps
Step-by-step explanation:
F(x) is given
So to find f2 we substitute all the variables (x) with the number 2 so it becomes..
f(2)=
-3(2)^2 + 6(2)
= -3(4)+ 6(2)
= -12+12
= 0
Find the measure of the arc.
146°E
mFD =
Answer:
124
Step-by-step explanation:
A circle is a curve sketched out by a point moving in a plane. The measure of the arc mFD is 124°.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
As we know that the angle made at the center of the circle is 360°. And it is mentioned that the measure of mFE is 146°, while mED is 90°. Therefore, the sum of all angles can be written as,
[tex]\angle FOE + \angle EOD + \angle FOD = 360^o\\\\146^o + 90^o + \angle FOD = 360^o\\\\236^o +\angle FOD =360^o\\\\\angle FOD = 124^o[/tex]
Thus, the measure of the arc mFD is 124°.
Learn more about Circle:
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(-11/2 x + 3) -2(-11/4 x - 5/2) writen in the simplest form, I'm doing summer school
Answer: 8
Step-by-step explanation:
(-11/2x + 3) -2(-11/4x - 5/2)
Distribute
-11/2x + 3 + 22/4x + 10/2
Simplify 22/4x and 10/2
-11/2x + 3 + 11/2x + 5
Cancel out 11/2x and -11/2x
3 + 5
Add 3 and 5
8
Answer:
8
Step-by-step explanation:
(-11/2 x + 3) -2(-11/4 x - 5/2)
Distribute
-11/2 x + 3 +11/2 x + 5
Combine like terms
-11/2 x +11/2 x + 5+3
8
Keep it 1000 someone who knows that they doing 20 points
Answer:
Box 1 is F and Box 2 is -62.1
Answer:
5/9( F -32) = -62.1
Step-by-step explanation:
5/9( F -32) = C
We have the Celsius temperature and want to find the Fahrenheit temperature
5/9( F -32) = -62.1
The equation of the graphed line is..... x+......y=4 ANSWER FAST PLZZXZZ FILL IN THE BLANKS (DOTED LINE)
Answer:
x+2y=4
Hope this helped
