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]
What part of a hummingbird is adapted to help it obtain food from inside flowers?
1.Beak
2.Wings
3.Eyes
4.Head
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
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].
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
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]
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
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
What is the area of the triangle?
8
4
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:
Please I need help it’s an emergency
Answer:
C. 1.35 M
I hope it helps...
5,890,000=a×10b a==?
Answer:
=146628
Step-by-step explanation:
gracias por los puntos
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:
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
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.
Geometry proof help please
Answer:
the picture is blurt can't see any thing sorry can't help
I don't know how to do this, please help
Answer:
m7=80º
m8=100º
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 :)
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"
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]
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:
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
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.
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:
P= $16,000, r= 10%, t= 180 days
Assume 360 days in a year.
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:
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
i needa big mac frfr brrrrrrrr
Answer:
ok
Step-by-step explanation:
Answer:
suppersize my fries...
Which problem is even below
4,323
944
291
31
What percent is 31 green fish out the f 49
Answer:
divide 31 by 49 and multiply the result by 100
(31÷49 ) × 100