Step-by-step explanation:
Hey there!
Let the unknown slope be M2.
The given equation is;
15x + 12y = -144
From equation;
[tex]slope( m) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]
[tex]m = \frac{ - 15}{12} [/tex]
[tex]m = \frac{ - 5}{4} [/tex]
For the condition of perpendicular lines;
[tex]m \times m2 = - 1[/tex]
[tex] \frac{ - 5}{4} \times m2 = - 1[/tex]
[tex] - 5m2 = - 4[/tex]
[tex]m2 = \frac{ - 4}{ - 5} [/tex]
Therefore, the slope is 4/5.
Hope it helps....
The numbers of copies of a college textbook sold quarterly over the past four years are: Since the time series has trend and seasonal pattern, to forecast the quarterly sales of the textbook, the following regression equation was found: stack y t with overparenthesis on top equals 2120 space minus 620 space Q t r 1 space minus space 1320 space Q t r 2 space plus space 290 space Q t r 3 space plus space 24 space t , where Q t r 1 , Q t r 2and Q t r 3 are dummy variables corresponding to Quarters 1, 2 and 3, and t = time period. The sales forecast for Quarter 3 of the next year is
Answer:
The predicted sales for the 4th quarter next year are 2168
Step-by-step explanation:
We formulate the given equation
Yt= 2120 - 620 Qtr 1 t -1320 Qtr 2 t + 290 Q tr3 t + 24 t
Taking the quarter 1 , 2 and 3 to be dummy variable the predicted sales for the 4th qtr are
Now put the values for the corresponding time period as 1,2 and 3
Yt= 2120 - 620 Qtr 1(0) -1320 Qtr 2(0) + 290 Q tr3 (0) + 24 (1)
Y(1)= 2120 + 24 = 2144 ( for year =1)
Y(2)= 2120+ 48= 2168 ( for year =2)
Y(3)= 2120 + 72= 2192 ( for year =3)
where t is the number of years.
So for the next year the fourth quarter sales are predicted to be 2168.
The sales forecast for Quarter 3 of the next year is 2192.
What is a sales forecast?It should be noted that a sales forecast simply means an expression for the expected sales revenue.
In this case, the sales forecast for Quarter 3 of the next year will be calculated thus:
= 2120 + 24(3)
= 2120 + 72
= 2192
Therefore, sales forecast for Quarter 3 of the next year is 2192.
Learn more about sales forecast on:
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solve
(3x) 9 = (4x) 5
Answer:
4 = 1x
Step-by-step explanation:
(3x)9 = (4x)5
9 = (1x) 5
4 = 1x
Please help!!!
is a relation that is also a function.
Answer:
Step-by-step explanation:
If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.
Solve the following system of equations
by substitution:
-X+y= -5
2x - 5y=1
Which ordered pair is the solution?
Help
Answer:
Step-by-step explanation:
y = x - 5
2x - 5y = 1
2x - 5(x - 5) = 1
2x - 5x + 25 = 1
-3x + 25 = 1
-3x = -24
x = 8
y = 8 - 5
y = 3
(8, 3)
What are some movies, shows, and animes I should watch?
Answer:
Napolian Dynamite is a dumb funny movie and madalorian is a good show, im not into star wars but mandalrian was fun
Avatar the last air bender was a really funny series I haven't met someone who doesn't like it
Is -15 less than -18
Answer:
No it is more
Step-by-step explanation:
what is the greatest common faactor of 72 and 40
Answer:
8
Step-by-step explanation:
List the prime factors of each number. Multiply those factors both numbers have in common.
How to solve ?? 3 (3z-6)=0
Answer:
Step-by-step explanation:
3(3z-6)=0
multiply your three with the 3z and the -6
9z-18=0
figure out what - 18 = 0
9z=18
9*2=18
z=2
hope this helps
What is the value of k?
12k+6=4k–8
1.–4
2.–3
3. 3
4. 4
Answer:
4
Step-by-step explanation:
2.15 unit test
Jerry can eat 24 hot dogs in 6 minutes. They want to know how many minutes (m) it would take them to eat 35 hot dogs if they can keep up the same pace. How many minutes would Jerry need to eat 35 hot dogs?
PLZ HELP
Answer: 8 minutes and 45 seconds or 8.75 minutes
Step-by-step explanation:
Find hot dogs per minute
24/6=4 hot dogs per minute
35/4=8.75
So jerry needs 8 minutes and
60x0.75= 45 seconds
531.775197122 to the nearest ten thousandth
Answer: 3266.528
Step-by-step explanation:
The number 531.775197122 is rounded to the nearest ten thousandth place by 531.7752
What is rounding up numbers?
There are basically two rules while rounding up numbers
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
Given data ,
Let the number be = A
Let the rounded number be = B
The value of A is given by
A = 531.775197122
Now , the number A can be rounded of to the nearest ten thousandth place by rounding to the nearest 0.0001 or the Ten Thousandths Place
So , the number will be
The 1 in the ten thousandths place rounds up to 2 because the digit to the right in the hundred thousandths place is 9
When the digit to the right is 5 or greater we round away from 0
Therefore , the number 531.775197122 is rounded to 531.7752
Therefore , the value of B is 531.7752 after rounding up
Hence , The number 531.775197122 is rounded to the nearest ten thousandth place by 531.7752
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Five people bought tickets for the school play for a total of $65.75. If each ticket was the same price, how much was the cost of each ticket?
Answer:
13.15 is ur answer hope this helped!
each ticket costs $13.15
What is the Scale Factor going from the larger figure to the smaller figure?
Answer:
0.25
Step-by-step explanation:
scale factor=md/od
=0.5/2
0.25
7. Given :
Point B is the midpoint of AC. Point C is the midpoint of BD.
Prove:
AB=CD.
A
B
C С
D
Answer:
c
Step-by-step explanation:
Answer:false
Step-by-step explanation:
Please help me I’ve been stuck on this for hiurs
Step-by-step explanation:
rtuutyuyttyyrturryfggjjjghuiiiiihjjiouytyyt
16, 4,1,...
Find the 6th term
Let's see what to do...
_________________________________
Step (1)
Look : 16 , 10 , 4 , ...
It is an arithmetic sequence.
So first we have to find the value of the ratio(( d )) .
To do this, we need to subtract each sentence minus the previous sentence.
So we have : 10 - 16 = - 6
_________________________________
Step (2)
To find the nth sentence in an arithmetic sequence, we must use the following equation :
[tex]t(n) = t(1) + (n - 1)d[/tex]
_________________________________
Step (3)
To find the 6th term just need to put the following parameters in the above sequence.
t(1) = 16 ------ n = 6 ------ d = -6
[tex]t(6) = 16 + (6 - 1)( - 6)[/tex]
[tex]t(6) = 16 + (5)( - 6)[/tex]
[tex]t(6) = 16 + ( - 30)[/tex]
[tex]t(6) = 16 - 30[/tex]
[tex]t(6) = - 14[/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
make a list of all 3 digit numbers using the digit 5, 2, and 6
How many quarts rounded to the nearest tenth are in 50 liters
Answer:
52.8
Step-by-step explanation:
If you were to look this up 50 liters = 52.8344
The question asks you to round to the nearest tenth so 52.8344 is now shown as 52.83 when you round that you can see that 52.83 rounded to the nearest tenth is 52.8 and that's your answer.
PLEASE MARK AS THE BRAINLIEST PLEASE
Using the point (-4,-2), what number goes in the blank?
-5x + 3y =
helppp math find the leanghth
Answer:
70 feet
Step-by-step explanation:
3.5 times 20=70.
Everett is 6 ft in tall and casts a shadow 10 ft long. A flag pole next to him casts a shadow of 19 ft. How tall is the flag pole?
Answer:
31.7ft
Step-by-step explanation:
height of object /length of shadow
6/10=19/x
190=6x
x=31.666666666
Consider the numbers 9 and 12. What is the product of the greatest common factor and the least common multiple for the numbers?
Answer:
108
Step-by-step explanation:
GCF of 9 and 12 = 3
LCM of 9 and 12 = 36
36 x 3 = 108
Hope this helped!
(-m2 + 6) + (-4m2 + 7m + 2) =
Answer:
−5m² + 7m + 8
Explanation:
−m² + 6 − 4m² + 7m + 2
= −m² + 6 + −4m² + 7m + 2
[ Combine Like Terms ]
= −m² + 6 + −4m² + 7m + 2
= ( −m² + −4m²) + (7m) + (6 + 2)
= −5m² + 7m + 8
Which number is divisible by both 3 and 9?
OA) 36,359
OB) 36,622
OC) 48,618
OD) 48,667
Answer:
OC
Step-by-step explanation:
Courtney needs to find 2,495 ÷ 48. In which place should she write the first digit of the quotient?
Answer:
On the inside of the "box" (long division).
Step-by-step explanation:
Whenever you are dividing, the first quotient goes inside the "box", and the second quotient goes on the outside.
(I am not sure what the symbol is called, that is why I called it a box.)
Hope this helps!
-(-(-(0.75))) =
a. -3/4
b. 3/4
c. -4/3
d. 4/3
Find the slope of the line from two given points: (12,-18) and (-15,-18)
Answer:
The answer is 0
Step-by-step explanation:
use the slope formula!
[tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]
12 is xsub1
-18 is ysub1
-15 is xsub2
-18 is ysub2
now solve!
[tex]m= \frac{-18-(-18)}{-15-(12)}\\=\frac{0}{3} \\=0[/tex]
slope is 0.
hope this helps!
Answer:
The slope of the line is 0. It's a horizontal line.
Step-by-step explanation:
Slope of a Line
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (12,-18) (-15,-18).
Calculate the slope:
[tex]\displaystyle m=\frac{-18-(-18)}{-15-12}[/tex]
[tex]\displaystyle m=\frac{-18+18}{-27}[/tex]
[tex]\displaystyle m=\frac{0}{-27}=0[/tex]
The slope of the line is 0. It's a horizontal line.
I was wondering what to pick for my next subjects i just did math and science
HELP PLZ IT would mean a lot
Answer:
Since this is a proportional relationship,
We know that the number which are proportional are a multiple of each other
the number which we can multiply one of the numbers to get the other number is the constant of proportionality
we could check for proportionality by using the following formula:
p1 / s1 = p2/s2 = p3/s3 = p4/s4 if they were equal, we can say that the relation is proportional
The value of any of the above values, p1/s1 , p2/s2 , p3/s3 , p4/s4 is the constant of proportionality
Therefore, the constant of proportionality = 20 / 5 = 4
What fraction is equal to 65%?
Answer:
65/100
Divide is by 100.