Answer:
[tex]y = -x -1[/tex]
Step-by-step explanation:
Given
Passed through (-5,4)
Parallel to: y=-x + 6
Required
Determine the line equation
If it is parallel to: y=-x + 6, then it means that they have the same slope.
A linear equation y = mx + b has the slope m.
So, by comparison of y = mx + b to y = -x + 6
[tex]m = -1[/tex]
The line equation is then calculated as:
[tex]y=m(x - x_1) + y_1[/tex]
Where
[tex]m = -1[/tex]
[tex](x_1,y_1) = (-5,4)[/tex]
So:
[tex]y = -1(x - (-5)) + 4[/tex]
[tex]y = -1(x +5) + 4[/tex]
[tex]y = -x -5 + 4[/tex]
[tex]y = -x -1[/tex]
The value of Adam's model railway is $550.
This value increases exponentially at a rate of r %
per year.
At the end of 5 years the value will be $736.
Calculate the value of r.
Answer:(c)
Step-by-step explanation:
Given
The initial value of Adam's model is [tex]A_o=\$550[/tex]
the value increases exponentially with the rate of [tex]r\%[/tex]
Time period [tex]t=5\ years[/tex]
Final amount [tex]A=\$736[/tex]
Exponential growth is given by
[tex]\Rightarrow A=A_o(1+r)^t[/tex]
Putting values
[tex]\Rightarrow 736=550(1+r)^5\\\\\Rightarrow (1+r)^5=1.338[/tex]
[tex]\Rightarrow 1+r=1.05999\\\Rightarrow r=0.05999\ or\ 5.99\%\approx 6\%[/tex]
Option (c) is correct
Answer this correctly with an explanation I’ll give u brainalist + 10 points
Answer:
option D
Step-by-step explanation:
Angle ADF and Angle FDE
ADF+ FDE
Answer:
D
Step-by-step explanation:
What is the relative minimum of the function?
if anyone could help it would be appreciated!! :)
Answer:
-2
Step-by-step explanation:
since the parabola opens upwards, the minimum is at the vertex of the parabola and the maximum is infinity, because the lines of a parabola goes on forever
you look for the smallest x value for the parabola and since you can see that the vertex of the parabola lies on x=-2, the minimum value of the function is -2.
Hope that helps :)
Please I need help it’s an emergency
Answer:
C. 1.35 M
I hope it helps...
Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?
(6x + 5)(x2 – 2)
(6x – 5)(x2 + 2)
(6x2 + 5)(x2 – 2)
(6x2 – 5)(x2 + 2)
Answer:
(6x2 - 5)(x2 + 2)
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
WILL MARK BR ONLY HAVE 5 MINUTES XTRA POINTS
Answer:
B 8 out of 43
Step-by-step explanation:
Answer:
8 out of 43
Step-by-step explanation:
There are 86 total chocolates
There are 16 taffy chocolates
So the current ratio is 16:86
You can divide it by 2 which gives you "8 out of 43"
P= $16,000, r= 10%, t= 180 days
Assume 360 days in a year.
Nayla delivers 63 magazines on Saturday and 72 magazines on Sunday. She makes bundles of 9 magazines for each of her delivery routes. How many delivery routes does Nayla have on Saturday and Sunday?
Answer:
14
Step-by-step explanation:
9*6=63
9*8=72
6+8=14
I don't know how to do this, please help
Answer:
m7=80º
m8=100º
Step-by-step explanation:
What percent is 31 green fish out the f 49
Answer:
divide 31 by 49 and multiply the result by 100
(31÷49 ) × 100
Which equation has a greater rate of change than the rate shown in the
table below?
х
0
2
4
6
8
у
5
5.5
6
6.5
7
What is the area of the triangle?
8
4
What part of a hummingbird is adapted to help it obtain food from inside flowers?
1.Beak
2.Wings
3.Eyes
4.Head
Average movie prices in the United States are, in general, lower than in other countries. It would cost $81.23 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $77.17. How much does an average movie ticket cost in each of these countries?
Answer:
Let the cost in Japan be m and that of Switzerland be n
n=13.35
Step-by-step explanation:
Convert 65 millimeters to centimeters
Pls use step by step pls
Answer:
65 mili= 6.5cm
Step-by-step explanation:
divide the length value by 10
Geometry proof help please
Answer:
the picture is blurt can't see any thing sorry can't help
Reasoning There are 27 more green ca
in the parking lot. What percentage of
lot are green? What percent are black
hi 13% are black and 13% are green
Please help test due in 1 hour and it’s a grade! Will give brainliest and good review!
Answer
The measurement of the missing sides are 4 cm on each side
Step-by-step explanation:
multiply 5 times 2 (5x2=10) take away the 10 and 18 and the answer for it is the answer for the whole thing.
On a scale drawing of a building, 1 inch represents 14 feet. If the height of the actual building is 49 feet, what is the height of the drawing?
enter the answer in the text box below
____ in.
The answer is 3.5 inches for K12 test
All i did was see what coud make 49 feet.
since 1 inch = 14 feet then i did 3 x 14 which got 42.
I then just shuffled around numbers and got 3.5.
THE ANSWER IS 3.5
Very sorry if its wrong
Which problem is even below
4,323
944
291
31
5,890,000=a×10b a==?
Answer:
=146628
Step-by-step explanation:
gracias por los puntos
Can someone answer this please!!! I only have 5 mins and u will get Brainly too :)
Answer:
20 Sq cm
Step-by-step explanation:
Length of parallel sides are 7 cm and 3 cm and perpendicular height is 4 cm.
Area of trapezium
[tex] = \frac{1}{2} (7 + 3) \times 4 \\ \\ = 10 \times 2 \\ \\ = 20 \: {cm}^{2} [/tex]
The temperature readings from a thermocouple in a furnace fluctuate according to a cumulative distribution function,
0, x < 800 oC
F(x) = 0.05x - 40, 800 oC< or is equal to x < 820 oC
1, x > 820 oC
Determine the following.
A) P(X< 810.0).
B) P(800
C) P(X> 808.40).
D) If the specifications for the process require that the furnace temperature be between 805.60 and 808.40oC, what is the probability that the furnace will operate outside of the specifications?
Answer:
[tex]P(x<810)=0.5[/tex]
[tex]P(x<800) = 0[/tex]
[tex]P(x>808.40) = 0.58[/tex]
[tex]P(x\le805.40\ or\ x\ge 808.40) = 0.85[/tex]
Step-by-step explanation:
Given:
[tex]F(x) = \left\{\begin{array}{ll}{0} &; {x<800^{\circ} \mathrm{C}} \\ {0.05 x-40} &; {800^{\circ} \mathrm{C} \leq x<820^{\circ} \mathrm{C}} \\ {1} &; {x>820^{\circ} \mathrm{C}}\end{array}[/tex]
Solving (a): P(x < 810)
To solve this, we make use of:
[tex]P(x<810) = F(x) = 0.05x - 40[/tex]
Because
[tex]800^\circ C \le 810 \le 820^\circ C[/tex]
So:
[tex]F(x) = 0.05 * 810 -40[/tex]
[tex]F(x) = 40.5 -40[/tex]
[tex]F(x) = 0.5[/tex]
Hence:
[tex]P(x<810)=0.5[/tex]
Solving (b): P(x < 800)
To solve this, we make use of:
[tex]P(x<800) = F(x) = x[/tex]
Because:
[tex]x < 800^\circ C[/tex]
So:
[tex]P(x<800) = 0[/tex]
Solving (c): P(x > 808.40)
Here, we make use of complement rule:
[tex]P(x>808.40) = 1 - P(x \le 808.40)[/tex]
Where:
[tex]P(x\le808.40) = 0.05x - 40[/tex]
[tex]P(x\le808.40) = 0.05*808.40 - 40[/tex]
[tex]P(x\le808.40) = 0.42[/tex]
So:
[tex]P(x>808.40) = 1 - 0.42[/tex]
[tex]P(x>808.40) = 0.58[/tex]
Solving (d) The probability that the temperature lies outside 805.60 and 808.40
First, we calculate the probability that it lies within.
This is represented as:
[tex]P(805.40 < x < 808.40)[/tex]
This is calculated using:
[tex]P(805.40 < x < 808.40) = F(808.40) - F(805.40)[/tex]
[tex]P(805.40 < x < 808.40) = 0.05*808.40-40 - (0.05*805.40-40)[/tex]
[tex]P(805.40 < x < 808.40) = 0.42 - (0.27)[/tex]
[tex]P(805.40 < x < 808.40) = 0.42 - 0.27[/tex]
[tex]P(805.40 < x < 808.40) = 0.15[/tex]
Using complement rule, the required probability is:
[tex]P(x\le805.40\ or\ x\ge 808.40) = 1 - 0.15[/tex]
[tex]P(x\le805.40\ or\ x\ge 808.40) = 0.85[/tex]
Which fraction is equivalent to 9 12
Answer:
3/4
Step-by-step explanation:
So we know that 3/4 is equivalent to 9/12, because 3×12=36 and 4×9=36. A simple way to look at how to check for equivalent fractions is to do what is called “cross-multiply”, which means multiple the numerator of one fraction by the denominator of the other fraction
pls pls pls pls helpppp it's 12:10am
Answer:
I guess it will be (D) 4/3=$4.41/x
what is the slope of the line that passes through the points (2,-3) and (2,13)? write your answer in simplest form
Answer:
The slope is undefined because there is no change in x, making it a vertical line
Step-by-step explanation:
help if a plane go down on by newyork and newjersey where do you bury the survivors
Answer:
You don't bury survivors because they survived
Step-by-step explanation:
i needa big mac frfr brrrrrrrr
Answer:
ok
Step-by-step explanation:
Answer:
suppersize my fries...
2. Bryan wants to rent a boat. The rental shop charges an initial fee of $12 plus $8 per hour to
rent the boat. If he paid a total of $120 when he rented a boat, for how many hours was the
boat rented?
Answer:
13.5 hr.
Step-by-step explanation:
Let h = no. of hours
Total cost = 12 + 8h = 120
8h = 108
h = 13.5 hr.
An employee's salary,
S
(
n
)
, in dollars, at a company is a function of the number of years,
n
, that the employee has worked at the company.
The relationship between
n
and
S
(
n
)
is shown in the table below.
The question is incomplete. Here is the complete question.
An employee's salary, S(n), in dollars, at a company is a function of the number of years, n, that the employee has worked at the company.
The relationship between n and S(n) is shown in the table below.
Which of the following equations represents an explicit formula for S(n)?
A. S(n) = 40,000(1.05)ⁿ
B. S(n) = 40,000 + 1.05n
C. S(n) = 40,000(1.05)ⁿ⁻¹
D. S(n) = 40,000 + 1.05(n-1)
Answer: A. S(n) = 40,000(1.05)ⁿ
Step-by-step explanation: The table shows an exponential function, which is, in general, is of the form:
[tex]S(n)=S_{0}r^{n}[/tex]
where
S₀ is the initial value
r is the rate the salary grows
n is the years the employee worked
From the table, in the first year, an employee receives $40,000, so, that is the initial value.
The salary increases at a constant rate of 1.05 per year, as shown below:
[tex]r=\frac{42,000}{40,000}=\frac{44,100}{42,000}=\frac{46,305}{44,100}[/tex]
r = 1.05
So, the rate the salary grows is r = 1.05 or 5%.
Therefore, the equation that shows an explicit formula for S(n) is [tex]S(n)=40,000(1.05)^{n}[/tex].