Answer:
Period: [tex]\pi[/tex]
Phase shift: n
Step-by-step explanation:
Tangent function:
Has the following format:
[tex]f(x) = \tan{ax - n}[/tex]
In which the period is [tex]\frac{\pi}{x}[/tex] and the phase shift is n.
In this question:
[tex]f(x) = -4\tan{(x-n)}[/tex]
[tex]a = 1[/tex], and thus, the period is [tex]\pi[/tex], with a phase shift of n.
What is the area, in square feet, of the shape below?
Answer:
[tex]area = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 2.9 \times 2.6 \\ = 3.77 \: ft {}^{2} [/tex]
Answer:
3.77 ft²
Step-by-step explanation:
Area of a triangle is half base length multiplied by the height.
0.5(2.9 × 2.6) = 3.77 ft²
URGENT HELP! Graph and indicate the 3rd Critical Point
a plumber charges $50 for every house call and an additional $70 for each hour of work for one house call yesterday the plumber earned $435 which equation can be solved to find the number of hours the plumber word on the house call
Answer:
5.5 hours
Step-by-step explanation:
Since every house has an initial charge of $50, we can begin with that
($50)
Then, let's define h as the number of hours. We know every hour is $70, although the hours is yet unknown so that can be
($70 * h) or simply ($70h)
Now, we know the total should end up to be $435, so after PEMDAS the equation will be
($70h + $50 = $435).
We subtract 50 from both sides so now we have $70h = $385.
Now we divide both sides by 70, giving us h = 5.5. Hope it helped!
The number of hours that the plumber work on the house calls should be 5.5.
Given that,
The charge for a plumber for every house call is $50.And, the extra $70 for each hour. The earning of the plumber is $435.Here we assume the number of hours be h.Based on the above information, the equation is as follows:
70h + 50 = 435
70h = 385
h = 5.5 hours
Therefore we can conclude that the number of hours that the plumber work on the house calls should be 5.5.
Learn more: brainly.com/question/3530056
Please someone help me!
Answer:
12000 rad/min
Step-by-step explanation:
One formula we can use here is that the linear speed is the same, and the linear speed is equal to the angular speed multiplied by the radius.
Therefore, 2400π rad/min* 35 cm = 7 cm* x, with x representing the angular speed of the smaller wheel in radians per minutes. Dividing both sides by 7 cm, we get
2400π rad/min * 35 cm / 7 cm = x
2400 π rad/min * 5 = 12000 rad/min = x as our answer
Jason works as a delivery boy. He is paid daily, and the amount he is paid depends on the number of deliveries he makes. Jason’s earnings per day, in dollars, for 14 workdays are below.
A tank with capacity of 600 gal of water originally contains 200 gal of water with 100 lb of salt in solution. Water containing 1 lb of salt per gallon is entering at a rate of 3 gal/min, and the mixture is allowed to flow out of the tank at a rate of
Answer:
Step-by-step explanation:
From the information given:
Tank's Capacity = 600 gal
Original content of water = 200 gal
Salt solution = 100 lb
In the tank:
Suppose x(t) = amount of salt at time (t); &
V(t) = volume of water
Then,
V(t) = 200 + t
and [tex]x'(t) = 3 - \dfrac{2x(t)}{200+t}[/tex]
From the above linear equation, the integrating factor can be computed as:
[tex]x(t) = \Bigg(e^{\int \dfrac{2}{200+t}} \Bigg)^{dt}[/tex]
[tex]= e^{2 \ log (200+t)}[/tex]
= (200 + t)²
The general solution can now be expressed as:
[tex]x(t) = \dfrac{1}{(200+t)^2}\Bigg( \int 3(200+t)^2 \ dt +C\Bigg)[/tex]
We know that C = integrating factor, thus taking the integral:
[tex]x(t) = \dfrac{(200+t)^3 +C}{(200+t)^2}[/tex]
At the initial condition, x(0) = 100
∴
[tex]100= \dfrac{(200)^3 +C}{(200)^2}[/tex]
C = ((200)²×100) - 200³
C = -4 × 10⁶
Hence, at any time t, the amount of salt is:
[tex]x(t) = \dfrac{(200+t^2) - 4\times 10^6}{(200+t)^2}[/tex]
Compound interest . A student get a grant of $10000 a year assuming her grant is increased by 7% each year what will her grant be in four years time
Answer:
Her grant in four years time will be of $13108.
Step-by-step explanation:
Exponential equation:
An exponential equation has the following format:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the initial value and r is the growth rate, as a decimal.
A student get a grant of $10000 a year assuming her grant is increased by 7% each year
This means that [tex]A(0) = 10000, r = 0.07[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = 10000(1+0.07)^t[/tex]
[tex]A(t) = 10000(1.07)^t[/tex]
What will her grant be in four years time?
This is A(4). So
[tex]A(t) = 10000(1.07)^t[/tex]
[tex]A(4) = 10000(1.07)^4 = 13108[/tex]
Her grant in four years time will be of $13108.
Can you help and do it step by step
Answer:
$4800
Step-by-step explanation:
SI=PRT DIVIDED BY 100..
So it is going to be 400×2×6 divided by 100 which will be 4800
What is the measure of an inscribed angle that subtends the same arc as a central angle whose measure is 32 degrees?
thvuvugufugy i need help pls i beg
Answer:
A-10
B- -12
C-3.6
If you cant understand B is -12
Given the image below, find the area of the regular polygon. The Perimeter of the
decagon is 80 in.
12.3 in.
Answer:
try 492.43, this should be correct if I did this right
Alexsy runs in two cross-country races. He runs the first in 45 minutes and the second in 3.5 hours. Find the ratio of his first race time to his second race time in its simplest form.
Answer:
9:42
Step-by-step explanation:
First, convert his second run into minutes so its easier to simplify
than divide both the timings by 5
to get the answer as 9:42 as the simplest ratio form
Solve the following simultaneous equations 5x+2y= -15
x+2y=5
Answer:
(x, y) = (-5, 5)
Answer:
Step-by-step explanation:
5x+2y=-15
Step 1: Add -2y to both sides.
5x+2y+−2y=−15+−2y
5x=−2y−15
Step 2: Divide both sides by 5
[tex]\frac{5x}{5}[/tex]=[tex]\frac{-2y-15}{5}[/tex]
x=[tex]\frac{-2-15}{5}[/tex]
x+2y=5
Step 1: Add -x to both sides.
x+2y+−x=5+−x
2y=−x+5
Step 2: Divide both sides by 2.
[tex]\frac{2y}{2}[/tex]=[tex]\frac{-x+5}{2}[/tex]
y=[tex]\frac{-x+5}{2}[/tex]
2^24 x 3^2 x 1 hhhhhhhhhhhhhhhhhh
Answer:
The answer is 5184. Hope it helps luv
Please answer this will give brainliest
Answer:
A. -8
B. 23
C. 3
D. 5
Step-by-step explanation:
The sum of two consecutive integers is −45. Find the Integers.
Answer:
-22 and -23
hope this helped :D
Answer:
- 23 & - 22
Step-by-step explanation:
Let one integer be x, so the other integer is x + 1
x + x + 1 = - 45
2x + 1 = - 45
2x = - 46
x = - 23
The integers are - 23 and - 22.
24+67-67+78/2+6-89-4
Answer:
1. 2 is the correct answer
Step-by-step explanation:
24+67-67+78 = 102
102 /2+6-89-4
= 1. 2
I am sure about my answer , trust me.
Hope this answer helps you :)
Have a great day
Mark brainliest
which is equivalent to (2-3i)(i³⁰³)?
Answer:
-2i - 3
I can't see a simpler way to explain it. You just have to work your way through each step.
Step-by-step explanation:
The question is what is i^303?
Remember that when the power is divisible by 4 the expression changes to 1
i^1 = i
i^2 = i * i = sqrt(-1)*sqrt(-1) = - 1
i^3 = i^2 * i = - i
i^4 = i^2 * i^2 = -1 * - 1 = 1
So what does i^303 =
i^300 * i^3
But 300 is evenly divisible by 4. (300 / 4 = 75) so i^300 = 1^75
i^3 = -i
So now you are ready to do the question
(2 - 3i) * -i
2*-i - 3i(-i)
-2i - 3(i^2 * - 1)
-2i - 3(-1 * - 1)
-2i - 3(1)
-2i - 3
PLEASE HELP ASAP PLSSSS !!!
What did she do wrong ?
Answer:
She wrongly added the equations
Step-by-step explanation:
Given
[tex]-3x + y = 8[/tex]
[tex]-3x + y = -4[/tex]
Required
Her mistake
The mistake is when she added the equations.
When both equations are added, the result is:
[tex]-3x -3x + y+y=8-4[/tex]
[tex]-6x +2y=4[/tex]
and not
[tex]2y = 4[/tex]
The suggestion to avoid such mistake is for the student to check the appropriate signs of each term before adding/subtracting.
If 30 men can complete a work in 40 days,
In how many days 15 men will complete
it?
Answer:
80
Step-by-step explanation:
djdjdjdjdjdjkkkdkjrr
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.
Answer:
Option B. 489.8 ft²
Step-by-step explanation:
From the question given above, the following data were obtained:
Height (h) = 13 ft
Radius (r) = 6 ft
Pi (π) = 3.14
Lateral surface area (Aₗ) =?
The lateral surface area of the cylinder can be obtained as follow:
Aₗ = 2πrh
Aₗ = 2 × 3.14 × 6 × 13
Aₗ = 489.8 ft²
Therefore, the lateral surface area of the cylinder is 489.8 ft²
If you take a class and have three marking periods in the class and in the first period your average grade was a 85.56 the second marking period your average was a 60.57 and then for the final marking period your average was a 63.63 what will be your overall average?
5th grade math. correct answer will be marked brainliest
Answer:
31 and a half
Step-by-step explanation:
not sure tho_____________
Answer:
31.5 is ur answer
Step-by-step explanation:
so what you have to do is add up 5.5 + 5.5 + 6+ 7 +7.5 which gives u 31.5
PLEASE HELP ASAP !!! WILL MARK BRAINLIEST TO WHOEVER ANSWERS CORRECTLY
Answer:
See below.
Step-by-step explanation:
Alternate Interior Angles - 1
Alternate Exterior Angles - 2
Corresponding Angles - 4
Same-side Exterior Angles - 5
Same-side Interior Angles - 3
Answer:38292
A
Step-by-step explanation:w
jkwlw44444
f(x) = -2 ( 1 - 1/4 x ) compute f( -3)
Answer:
-3 1/2 or -3.5
Step-by-step explanation:
* means multiply
just put 3 where the x is
so
f(x) = -2 ( 1 - 1/4 x )
f( -3) = -2 ( 1 - 1/4 * -3 )
f( -3) = -2 ( 1 3/4 )
f( -3) = - 3 1/2
The temperature at 8 a.m. was -6°C.
By noon, the temperature was 3°C.
Find the change in temperature.
11
Answer:
9
Step-by-step explanation:
3 - ( -6 ) = 9
Hope this helps! Brainliest?
Answer:
9
Step-by-step explanation:
the other answer is right.
to add a little bit of explanation :
you need to calculate the difference between -6 and +3.
and we are looking on the number line only for a distance and not for a direction, as the distance (or simple difference) between -6 and +3 is the same as between +3 and -6.
so, whatever we get as difference, we need to treat that result as positive number.
so, we get the difference between two numbers by subtracting one from the other.
either 3 - (-6), or -6 - 3
you do know that subtracting a negative number is the same as adding the same positive number ?
e.g. 3 - (-6) = 3 + 6 = 9
as for the other direction -6 - 3 = -9
but again, we have to take this in this context as a positive number.
in math we call this the absolute value of a number.
so, the answer is always 9.
Solve 11ax + 12 ax = 13 ax + 60 for x. Assume a=0.
Α. α = 10a
B. x = 10a
C. x = 6a
D. x =6/a
Answer:
In the problem, the value of x is equal to 6a.
Step-by-step explanation:
For this equation, we are to solve for x.
11ax + 12ax = 13ax + 60
Add together 11 and 12 because they have like terms.
23ax = 13ax + 60
Substract 13ax on both sides.
10ax = 60
Now, we divide by 10 on both sides.
ax = 6
In order to see what x is, divide a on both sides.
x = 6a
Jessica left her running shoes at school yesterday. Today she walked 4 miles to school to get her shoes, she ran home along the same route, and the total time for both trips was 2 hours. Jessica walked and ran at constant speeds, and she ran 3 miles per hour faster than she walked.
What was Jessica's walking speed in miles per hour?
Jessica left her running shoes at school yesterday. Today she walked 4 miles to school to get her shoes, she ran home along the same route, and the total time for both trips was 2 hours. Jessica walked and ran at constant speeds, and she ran 3 miles per hour faster than she walked.
What was Jessica's walking speed in miles per hour?
Find Y.
Round to the nearest tenth.
Z
90 ft
55 ft
X
50 ft
Y
Y= [? ]°
Law of Cosines: c2 = a2 + b2 – 2ab cos C
Answer:
∠ Y ≈ 32.7°
Step-by-step explanation:
Using the law of Cosines
cosY = [tex]\frac{x^2+z^2-y^2}{2xz}[/tex]
with x = 90, y = 55, z = 50
cosY = [tex]\frac{90^2+50^2-55^2}{2(90)(50)}[/tex] = [tex]\frac{8100+2500-3025}{9000}[/tex] = [tex]\frac{7575}{9000}[/tex] , then
∠ Y = [tex]cos^{-1}[/tex] ([tex]\frac{7575}{9000}[/tex] ) ≈ 32.7° ( to the nearest tenth )