Answer:
True
Step-by-step explanation:
What is the equation of a line that passes through the point (8, -2) and is parallel to the line whose equation is 3x + 4y = 15?
Answer:
y = -3/4x + 4 or 3x + 4y = 16
Step-by-step explanation:
Step 1
Find the slope of the given line
we have
3x + 4y = 15
Isolate the variable y
Subtract 3x from both sides
3x + 4y -3x = 15-3x
Divide by 4 both sides
y = -3/4x + 15/4
the slope of the given line is
m = -3/4
Step 2
Find the equation of the line that passes through the point and is parallel to the given line
we know that
if two lines are parallel, then their slopes are equal
The equation of the line into point-slope form is equal to
y - y₁ = m(x-x₁)
we have
m= -3/4
(x1,y1) = (8,-2)
substitute in the equation
y + 2= -3/4(x-8)
y = -3/4x + 6 - 2
y = -3/4x + 4 or 3x + 4y = 16
therefore
the answer is
y = -3/4x + 4
or
3x + 4y = 16
What is the iterative rule for the following sequence?
4, 4/5, 4/25, 4/125, ...
A.) an=4•(1/5)^n-1
B.) an=4•(1/5)^n
C.) an=1/5•4^n-1
D.) an=1/5•4^n
Answer:
A.) 4 * (1/5)^(n-1)
Step-by-step explanation:
a1 = 4 * (1/5)^(1-1) = 4* (1/5)^0 = 4*1 = 4
a2 = 4 * (1/5)^(2-1) = 4 * (1/5)^1 = 4 * 1/5 = 4/5
a3 = 4 * (1/5)^(3-1) = 4 * (1/5)^2 = 4 * 1/25 = 4/25
a4 = 4 * (1/5)^(4-1) = 4 * (1/5)^3 = 4 * 1/125 = 4/125
a5 = 4 * (1/5)^(5-1) = 4 * (1/5)^4 = 4 * 1/625 = 4/625
. . .
The required iterative rule for the following sequence is [tex]a_n=4*(1/5)^{n-1}[/tex]. Option A is correct.
Given sequence,
4, 4/5, 4/25, 4/125, ...
Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Here,
The given sequence is 4, 4/5, 4/25, 4/125, ...
Common ratio among the proceeding terms,
r = 4/5/4
r = 1/5
The required general term can be described as [tex]a_n=4*(1/5)^{n-1}[/tex].
Thus, the required iterative rule for the following sequence is [tex]a_n=4*(1/5)^{n-1}[/tex]. Option A is correct.
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Evaluate. 2 > 8 - 4/3h
Answer: h>9/2
Step-by-step explanation:
the average age of teacher at school is 36 years.mr Smith age is 11/9 of the average. how old is Mr Smith?
Answer: 44
Step-by-step explanation:
I'm positive this is right! Have a good day! Hope this helps! Please give brainliest, i would help a lot if you did, but its fine if you don't Just have a good rest of the day!
Brainlest Evaluate (-2-2-1/2)³
Answer:
[tex]\sf\longmapsto \: \frac{ - 792}{8} [/tex]
Step-by-step explanation:
[tex]\sf\longmapsto \: (−4− \frac{1}{2} ) {}^{3} [/tex]
[tex]\sf\longmapsto \: (− \frac{9}{2} ) {}^{3} [/tex]
[tex]\sf\longmapsto \: \frac{ - 729}{8} [/tex]
[tex]\sf\longmapsto \: Decimal: -91.125[/tex]
CAN SOMEONE HELP ME ASAP: Write 0.0000000642 in scientific notation.
Answer:
6.42 × 10-8.
Step-by-step explanation:
vububTodyksyk
Answer:
6.42 x [tex]10^{-8}[/tex]
Step-by-step explanation:
0.0000000642 in scientific notation = 6.42 x [tex]10^{-8}[/tex]
a man earned $180 for working 14 hours. How many hours must he work to earn 300
Answer:
it would be roughly 24 hours
Step-by-step explanation:
180÷14
12.8571428571
simplify to 12.85
12.85× X = 300
X=24
guys pls help me!!!!!!
Answer:
X would also be 59° due to the Corresponding property.
Will give 5 points for answer
Answer:
1and 3 are not a function 2 and 4 are a function 6 not enough
Step-by-step explanation:
plz help me help me help me
Answer:
Step-by-step explanation: 16 is for the apple juice for when the orange juice is 8 since orange juice is half of the apple juice. For the last one the apple juice is 32 and the orange juice is 16
Which expression is equivalent to 5 to the power of 6
5^6
Answer:
5^6
5^6 is the same thing as
5^6=5×5×5×5×5×5
=5×5=25×5=125×5=625×5=3125×5=15625
5^6= 15625
Answer:
125 * 125
Step-by-step explanation:
do 125 x 125 = 15625
The expression - 250 + 16z represents a submarine that began at a depth of 250 feet below sea level
and ascended at a rate of 16 feet per minute. What was the depth of the submarine after 9 minutes?
Dalawang batong itim
Sa tabi mo.
[tex] \: \: [/tex]
Step-by-step explanation:
I havenot understand queation
4 cm
15 cm
-
Find volume
Answer:
The answer is 753.98224.
V=πr^2h, so v=pie4^2*15
Therefore, V=πr2h=π·42·15=753.98224
Step-by-step explanation:
The volume = [tex](\frac{22}{7} )(4^{2} )(15)[/tex]
= 754.285714
please give me a brainliest answer
An insect's head accounts for approximately 60% of its total mass. If the insect weighs 40 g, what is the mass
of its head?
Answer:
24 g
Step-by-step explanation:
60/100x40
2400/100
24
THANK YOU TO WHOEVER DOES THIS <3
Answer:
2436 cubic centimeters
Step-by-step explanation:
11 * 14 = 154
14 * 7 / 2 = 49
154 + 49 = 203
203 * 12 = 2436
mr. tyler has a total of $5,000 in savings account and in a mutual fund. If he has x dollars in the savings account, how much dollars does he have in the mutusl fund?
Mr. Tyler has $(5000 - x) in the mutual fund, where is amount in the saving account.
If Mr. Tyler has $5,000 in total, and x dollars in the savings account.
The amount he has in the mutual fund can be calculated by subtracting the amount in the savings account from the total amount.
Amount in the mutual fund = Total amount - Amount in the savings account
Here, Total amount = $5000 and Amount in the savings account = x
Substituting the values back to the formula as
Amount in the mutual fund = $5,000 - x
So, Mr. Tyler has $(5000 - x) in the mutual fund.
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Help help help help help help help
I) Degree Yes No m b
6) 1 √ 1 10
7) 1 √ 5 -1
8) 2 √
II)
9) x = 1,y = 3, 3x
x = 2,y = 6, 3x
x = 3,y = 9, 3x
It's a linear equation because it has 1 degree of function.
f(x) = 3x + 0.
10) x = -2,y = 4,x²
x = -1,y = 1,x²
x = 0,y = 0,x²
It's not linear a linear equation because it has 2 degree of function.
A)
1. m = -2/3 , b = 4
y = mx + b
y = -2/3x + 4
Values;
x= 0,y = 4 (0, 4)
x=1,y=10/3 (1,10/3)
x=2, y= 8/3 (2, 8/3)
x=3, y=2 (3, 2)
x=4, y=4/3 (4, 4/3)
The graph is the 1st one above.
2. a = -2 , b = 3
y = mx + b
at y = 0, x = -2
0 = m(-2) + 3
-3 = -2m
m = 3/2
y = 3/2x + 3
Values;
x = -2, y=0, (-2, 0)
x = -1, y = 3/2, (-1, 3/2)
x = 0,y = 3, (0, 3)
x = 1,y = 9/2, (1, 9/2)
x = 2, y = 6, (2, 6)
The graph is the 2nd one above.
write 47% as a fraction is simplest form.
Answer:
47/100
Step-by-step explanation:
47 = 0.47 = 47/100
can somebody please just help me do not answer if you do not know
Answer:
it could be 34 , 34 and 82
or 34 , 73 and 37
Step-by-step explanation:
angles in a triangle add up to 180. in and isosceles triangle two angles are always the same so there will be 2 possible outcomes.
pls mark brainalist
The sum of the real numbers x and y is 11. Their difference is 5. What is the value of xy?
Answer:8
Step-by-step explanation:
Answer:
xy=24
Step-by-step explanation:
x+y=11
x-y=5
x=y+5
y+5+y=11
2y=6
y=3
x=8
xy=24
8h-2>3h+2
solve for h
Answer:
h >4/5
Step-by-step explanation:
8h-2>3h+2
Subtract 3h from each side
8h-3h-2>3h-3h+2
5h-2> 2
Add 2 to each side
5h-2+2> 2+2
5h >4
Divide by 5
5h/5 >4/5
h >4/5
Answer:
H can be any number larger than 4/5, i'm pretty sure
Step-by-step explanation:
8h-2>3h+2
8h-3h>2+2
5h>4
h>4/5
helpppppppppppppppppppppppppppppp meeeeeeeeeeeeeeeeeee plsssssssssssssssssssssss there is more but plss help mee
Answer: The attachment is a bit difficult to read, and long. I'll make some suggestions and add some detail to a few of the problems, but would ask that these suggestions be applied to other problems to find the answers.
Step-by-step explanation:
9. Coinciding lines line on top of each other. I.e., they are the same equation. If we take A, for example, we can reduce the second expression by dividing by 2: (2x+4y=6)/2 = (x + 2y = 3). This matches the first expression (x + 2y = 3). ! Whoa, that went fast.
10. (x+8)(x-8) = x² +8x -8x - 64 = x² - 64
11. I don't have the time to explain how one can factor, but practice is important. And I don't know if this is completely factored, but it matches one of the options. Try (n-2)(n²+2n + 4) [n³ +2n² +4n - 2n² -4n -8 = n³ - 8. It works.
12. The denominators are the same, so add the numerators and keep the denominator. (7x+4y)/x²y
13. The slope is the "Rise" over the "Run." (3,4), (8,-1) Rise = (-1 - 4) = -5. Run = (8-3) = 5 Slope = -(5/5) = -1
14. A line with a positive slope will move upwards as x increases. We can eliminate options C and D immediately. That leaves A and B. The line we are looking for is y = 5x + b. We are not given b, the y-intercept, so determine the slopes of both lines: I get 4 for A and 5 for B. To confirm B is correct, we could calculate b for y=5x+b by using given point, (2,3). 3 = 5*2 + b, b = -7. We can't see this point (0,-7) on the graph, but it appears correct. B is the best answer.
15. The line will have the form of y=mx+b. Calculate m, the slope, from the two points (3,1) and (4,7). Rise = 6, Run = 1 Slope = 6. y=6x+b. Find b by using either of the given poins and solving for b. I'll choose (3,1). y=6x+b; 1 = 18 + b; b = -17. The equation is y=6x-17. Rearrange option A (y =6x - 17).
16. The second value in each factor must, when multiplied together, equal the final term of the original expression, -9y². I see only one option for which that is true, C. Multiply the two factors in C to be certain, and you'll find they result in the correct expression.
A water tank has two valves, one for inlet pipe and the other is outlet pipe. If the tank is empty the inlet valve is
opened, the tank will be full of water after 5 hours. If the tank is full and the outlet valved is opened, the tank
will be emptied in 8 hours. Suppose the tank is empty and both valves are opened, in how many hours will the
tank be full?
Let V be the volume of the tank. The inlet pipe fills the tank at a rate of
V / (5 hours) = 0.2V / hour
and the outlet pipe drains it at a rate of
V / (8 hours) = 0.125V / hour
With both valves open, the net rate of water entering the tank is
(0.2V - 0.125V ) / hour = 0.075V / hour
If t is the time it takes for the tank to be full, then
(0.075V ) / hour • t = V
Solve for t :
t = V / ((0.075V ) / hour)
t = 1/0.075 hour
t ≈ 13.333 hours
I am confused if someone could explain this it would be greatly appreciated
17 + 16s = -16 + 19s
Solve for s
Answer:
s is equal to 11
Hope this helps
Answer:
s=11
Step-by-step explanation:
17 + 16s= - 16 + 19s
resta 19s en los dos lados
17+ 16s – 19= -16
combina 16s y 19s para obtener -3s
17 – 3s = -16
reta 17 de -16 para obtener -33
-3 =
divide -33 entre -3 para obtener 11
s=11
Write 6^7 + 6^5 + 11 in base six. Use the digits 0, 1, 2, 3, 4, 5
Answer:
Sorry I don't remember the answer
LY!
Fill in the missing numbers to complete the pattern:
2.6, 3.1,
4.6, 5.1
which is colder -3°c or -2°c
Answer:
-2 is colder
Step-by-step explanation:
Becuase when you get to the negative the Closest number to 0 is greater which means -2 is closer to 0 which makes it colder.
(Hope this helps can I pls have brainlist (crown)☺️)
9. The repair order is a legal document because
People say it’s B or C, which one is correct.
Correct gets brainliest!!!
Answer:
C is the correct answer cos it is paid by the customer