Answer:
The equation of the line in the form Ax+By=C is [tex]\mathbf{ x+4y=-7}[/tex]
Step-by-step explanation:
We need to write an equation of line that have slope m= -1/4 and point(-7,0)
We would use slope-intercept form: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept.
We are given slope m = -1/4 but we need to find y-intercept
Finding y-intercept
Using the slope m= -1/4 and point(-7,0) we can find y-intercept (b)
[tex]y=mx+b\\0=-\frac{1}{4}(-7)+b\\0= \frac{7}{4}+b\\b=-\frac{7}{4}[/tex]
Now finding the equation of line having slope m= -1/4 and y-intercept b= -7/4
[tex]y=mx+b\\y=-\frac{1}{4}x-\frac{7}{4}[/tex]
Now converting into form Ax+By=C :
[tex]y=-\frac{1}{4}x-\frac{7}{4}\\y=\frac{-x-7}{4}\\4y=-x-7\\x+4y=-7[/tex]
The equation of the line in the form Ax+By=C is [tex]\mathbf{ x+4y=-7}[/tex]
Who wants to have a full on conversation before this question gets deleted?
Answer:
honestly me why not lol
Step-by-step explanation:
Answer:
sure
Step-by-step explanation:
Find each difference 1 1/2 + (-1/2)
Answer:
1 1/2 + (-1/2) is also 1 1/2 - 1/2.
the result is 1 whole, and 1 whole is also the difference between 1 1/2 and 1/2.
Say you have half of a cheese piece, but your friend has 1 whole cheese piece plus half of a cheese piece.
He/She has 1 more cheese piece than you, right? That's the difference between you and your friend's cheese. 1 whole.
Part A: The Sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the Sun produce in 3.25 ⋅ 103 seconds? Express your answer in scientific notation and show your work. (5 points)
Part B: Which is the more reasonable measurement of the distance between the tracks on a railroad:
1.435 ⋅ 10−3 mm or 1.435 ⋅ 103 mm? Justify your answer. (5 points)
5914 1404 393
Answer:
A) 1.3×10^37 ergs
B) 1.435×10^3 mm
Step-by-step explanation:
A) The amount of energy will be the product of the energy rate and time:
(3.9×10^33 ergs/s)×(3.25×10^3 s) =12.675×10^(33+3) ergs
= 1.2675×10^(1+36) ergs
= 1.2675×10^37 ergs ≈ 1.3×10^37 ergs
The mantissa of the result is the product 3.9×3.25, adjusted to have one digit left of the decimal point. The exponent of the result is the sum of the exponents of the factors, adjusted by 1 to match the adjustment in the mantissa.
The final value should be rounded to 2 significant figures, reflecting the precision of the sun's energy production.
__
B) A millimeter is a small fraction of an inch. 10^-3 mm is a small fraction of the width of a human hair, so 1.435×10^-3 mm is not a reasonable estimate of the distance between railroad tracks.
On the other hand, 1.435×10^3 mm is 1.435 m, almost 56.5 inches. This is a much more reasonable measurement of the distance between railroad rails.
1.435×10^3 mm is more reasonable
Simply the fraction 280/3500
Answer:
2/25
Step-by-step explanation:
Just work it out
Find the parabola with equation y = ax2 + bx whose tangent line at (2, 8) has equation y = 12x − 16.
Answer:
y = 4x(x-1)Step-by-step explanation:
Before we can calculate the equation of the parabola in the form
y = ax²+bx, we need to get the value of a and b.
First we need to set up a simultaneous equation as shown;
since y = ax²+bx
dy/de = y' = 2ax + b
Substitute the point (2, 8) into the equation
y' = 2a(2)+b
y' = 4a + b
Since y' is also the slope of the equation y = 12x-16, hence y' = 12 on comparison.
The equation becomes;
12 = 4a+b
4a+b = 12 ........... 1
Since the point (2, 8) is also on the parabola, then it must satisfy the equation y = ax²+bx
substitute the coordinate;
8 = a(2)²+b(2)
8 = 4a + 2b
4 = 2a + b
2a+b = 4 ........... 2
Solve equations 1 and 2 simultaneously
4a+b = 12 ........... 1
2a+b = 4 ........... 2
Substract both equation
4a - 2a = 12-4
2a = 8
a = 4
substitute a = 4 into equation 2 and get b;
From 2; 2a+b =4
2(4)+ b = 4
8+b = 4
b = 4-8
b = -4
Substitute a = 4 and b = -4 into the equation of the parabola y = ax²+bx
y = 4x²+(-4)x
y = 4x²-4x
y = 4x(x-1)
Hence the required equation of the parabola is y = 4x(x-1)
Simplify. (2m3n2)5 10m8n7 32m8n7 32m15n10 10m15n10
Answer:
10m15n10
Step-by-step explanation:
5x2m=10m
5x3n=15n
5x2=10
so you get 10m15n10
you can't simplify it anymore because none of them have the same variables
Answer:
32m15n10
Step-by-step explanation:
Just took the tests
Combine like terms to create an equivalent expression. 20(-15r+0.75)
Answer:
-300r + 15
Step-by-step explanation:
Hope this helps!
g If there is a very weak correlation between two variables, then the coefficient of determination must be
Answer:
very close to or equal to zero
Explanation:
Correlation coefficients refer to the degree of relationship between two exclusive variables.
A weak correlation means that a change in one variable does not significantly affect or cause any reaction with the second variable.
For example, if the prices of coffee and the price of ballons are observed in the same period and found to have a correlation of +0.00006. This means that there is little or no correlation, or relationship, between the two variables. Weak relationships are usually between -0.1 and +0.1
Correlation coefficients can also be positive or negative.
It is positive if both factors seem to move in the same direction. As an example, if the price of stocks for Apple and Microsoft change in the same direction in the same period, they are said to have a positive correlation coefficient.
On the flip side, the correlation coefficient will be negative if the price of one stock moves upwards whilst the other moves downwards. A perfect negative relationship would read -1.
Cheers
1. If a student's course grade was a B, what is the probability that a randomly selected student did at least 30 minutes of homework at night?
2. Are the events "did at least 30 minutes of homework l" and "course grade is a B" independent? Explain your answer.
9514 1404 393
Answer:
0.70yesStep-by-step explanation:
1. P(≥30 | B) = P(≥30 & B)/P(B)
P(≥30 | B) = 0.21/0.30 = 0.70
The probability that a B student did at least 30 minutes of homework is 0.70.
__
2. The probability that any student did at least 30 minutes of homework is shown in the column a the right end of the table: 0.70. This is the same as the probability that a B student did at least 30 minutes of homework. That is ...
P(≥30 | B) = P(≥30)
Hence, the events "at least 30 minutes of homework" and "B student" are independent.
The temperature, T, for an oven can be described by the equation T = 44m +67 for the
first 10 minutes after it's turned on, where m is minutes. Find the T-intercept and interpret
its meaning in the context of the problem.
Answer:
T-intercept = 67
Step-by-step explanation:
Given
T = 44m + 67
Required
Calculate and interpret the t-intercept
To calculate the t-intercept, we simply set the number of minutes (m) to 0
i.e. substitute 0 for m in T = 44m + 67
T = 44 * 0 + 67
T = 0 + 67
T = 67
Hence, the T-intercept is 67
The interpretation is that the initial temperature when the oven is turned on is 67 degrees
A publisher prints 1,912 copies of a book in print run. If they print 305, runs the manger wants to know about how many books will be printed
Answer:
About 583,160 books.
Step-by-step explanation:
1912 times 305 equals 583160.
If x=6, find the value of
Answer:
a) 10
b) 18
c) 3
Step-by-step explanation:
Answer:
A) 10
B) 18
C) 3
Step-by-step explanation:
A) 6 + 4 = 10
B) 3(6)= 18
C) 6/2 = 3
3.
у
7
9
D
6
2
1
-7
9-
-2
2
6
S
-1
-1
-2
-6
Р
0
Answer:
Step-by-step explanation:
w
H
A
t
I
s
t
H
i
S
?
Does ANYONE know how to solve this?
care e formula termenului general al sirului -2,0,2,-2,0,2,-2,0,2........?
Answer:
what language is that ??
Step-by-step explanation:
Jancarlo is 5 years older than Allin. In 6 years, the sum of their ages will be 35. How old is both Jancarlo and Allin?
i dunno :) gggggggggggggggggggggggggg
Avery wants to put a percentage of muffins in a display case. There are 60 muffins total. 40% are blueberry, 20% are pumpkin, and 30% are cranberry. how many blueberry muffin can she put in the display
i cant do this either
Answer:
24 blueberry 12 pumpkin 18 cranberry
it ez
Mariel plans to run at least 4 miles each week for her health. Mariel has a circular route in the neighborhood to run. Once around that route is 140 yards. If Mariel runs that route 40 times during the week, will she cover at least 4 miles? Explain.
A. No, because 4 miles is yards, and 40 times around the route is yards, which is less than 4 miles.
B. Yes, because 4 miles is yards, and 40 times around the route is yards, which is the greater than 4 miles.
Answer: from what I remember it’s yes
Step-by-step explanation: Because I took the test but it won’t let me go back but if it’s not yes I’m sorry
4t - 2 + t2 = 6 + t^2
HUGE POINTS!
tan x/2 =2,-1
The answers is 234 degrees.
How would I answer this.
Answer:
x=63.4 +k times 180, k e z
Step-by-step explanation:
Over which interval of the domain is function h decreasing?
The interval of the domain of the considered function for which the function is decreasing is none. The function is strictly increasing: Option D: The function is increasing only.
When do we say that a function is decreasing?Suppose that the function is y = f(x)
If for an interval I, when x increases meanwhile staying in the interval I, the function's output decreases (or can stay same), then we say that the function is decreasing in the interval I.
This interval I was of values that x can take for this function, which is the domain of the considered function, so we say:
y = f(x) is decreasing function in an interval I if:
[tex]f(x+\delta) \leq f(x) \: \forall x \in I : x+\delta \in I[/tex]
If we have:
[tex]f(x+\delta) < f(x) \: \forall x \in I : x+\delta \in I[/tex], then the function is called strictly decreasing in the interval I.
Similarly, there increasing( [tex]f(x+\delta) \geq f(x) \: \forall x \in I : x+\delta \in I[/tex] ) and strictly increasing([tex]f(x+\delta) > f(x) \: \forall x \in I : x+\delta \in I[/tex] ) functions.
For this case, the function is:
[tex]h(x) = \left \{ {{2^x, x < 1} \atop \: \atop {\sqrt{x+3}, x \geq 1}} \right.[/tex]
The function is differentiable in either side of 1.
Sign of rate of function at a point tells whether its increasing or decreasing.
For x < 1:[tex]h'(x)= 2^x ln(2)[/tex]
We know that:
[tex]2^x > 0 \: \rm \forlall x \in \mathbb R[/tex]
And [tex]ln(2) \approx 0.69 > 0[/tex]
Thus, [tex]h'(x)= 2^x ln(2) > 0 \: \forall x \in \mathbb R[/tex]
So, rate is positive, the function is strictly increasing for this case.
For x > 1:[tex]h'(x) = \dfrac{1}{2\sqrt{(x+3)}}[/tex]
For all x > 1, [tex]\sqrt{x+3} > 0[/tex], and so as h'(x)
So rate is positive and therefore strictly increasing for this case too.
For x = 1:[tex]h(1+\delta) - h(1)= \sqrt{1+\delta + 3} - \sqrt{1+3} = \sqrt{4+\delta} - \sqrt{4} > 0 \forall \delta > 0[/tex]
So rate of the considered function is positive,so function is strictly increasing all over the domain.
Thus, the interval of the domain of the considered function for which the function is decreasing is none. The function is strictly increasing: Option D: The function is increasing only.
Learn more about increasing functions here:
https://brainly.com/question/14330051
#SPJ2
What is 2/3 x 2 1/5 for fifth grade
Answer:
1 7/15
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLEIST
improper fraction: 22/15.
Evaluate n(x) = -1- x + 4
i got:
n = -1 + 3/x
x = 3/n + 1
not sure if this helps but i hope it does somehow
Answer correctly and I will mark you brainless ❤️?
Answer:
[tex]y=9.75x[/tex]
Step-by-step explanation:
Your y is always the dependent variable, or the value that changes when another value changesSo which one depends on the other, between the 'money for school charity' and 'number of lawns mowed'? the money for charity depends on how lawns are mowed, so this is yNow we have y, and we already know it depends on the number of loans mowed, so number of lawns mowed is xSo an equation in the form [tex]y=mx+b[/tex] is a slope-intercept form where m is the slope and b is just a constant number, in this case b is 0.so we have [tex]y=mx[/tex]Now the slope m is interesting because it is the "amount of change"Let's ask ourselves, when Donny mows one lawn he gets, 9.75 dollars, and when he mows 2 lawns he gets 19.5 dollarsThe amount change here is 9.75, so that's our slope m is 9.75so the equation is [tex]y=9.75x[/tex]Translate the sentence into an inequality.
The product of y and 2 is less than -22.
Answer:
2y<-22
Step-by-step explanation:
2y is 2 times y
<-22 is less than -22
simpifly 6/30
..... ........
Answer:
1/5
Step-by-step explanation:
Divide both numerator and denominator by 6:
1/5
Answer:
1/5
Step-by-step explanation:
6/30
6/6 = 1
30/6 = 5
6/30 --> 1/5 simplified
What is the value of a for the following circle in general form?
X^2+y^2+ax+by+c=0
Answer:
ANSWER: 8 A_P_E_X
Step-by-step explanation:
Plug the radius and the center point into the equation, and convert it to general form to get your answer.
The value of a is 4.
What is the standard equation of a circle?The standard equation of a circle is given by
(x -h)² + (y-k)² = r²
The equation given is
x² + y² +ax +by +c = 0
a = -h * 1
(h,k) represents the coordinate for the center of the circle
h = -4 , k =2
a = -(-4) *1 = 4
To know more about Standard Equation of a Circle
https://brainly.com/question/13658927
#SPJ2
Answer this equation -3(5g+1)+8g=
Answer:
-7g - 3
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining like termsStep-by-step explanation:
Step 1: Define expression
-3(5g + 1) + 8g
Step 2: Simplify
Distribute -3: -15g - 3 + 8gCombine like terms: -7g - 3Answer:
-7g - 3
Step-by-step explanation:
First, do distributive property. -3(5g+1)+8g= -15g-3+8g
Now combine like terms. (-15g + 8g) -3 =
-7g - 3 This is the answer since you can't combine a coefficient with a number without a variable.
find positive exponent, simplify 3/3³
Answer:
0.11111111111
Step-by-step explanation:
It goes on forever
Three times the sum of a number and 6 is less than 33
Answer:
3(x+6)<33
Step-by-step explanation:
So you want to write what you hear as you go along
3(the sum of a number and 6)<33 The number can be substituted for x or any variable
3(x+6)<33