Answer:
(√3 tan x + 1) / (√3 - tan x)
Step-by-step explanation:
[tex]tan (x+\frac{\pi }{6})\\= \frac{tan x+\frac{1}{\sqrt{3} } }{1-\frac{tan x}{\sqrt{3} } } \\= \frac{\sqrt{3} tan x + 1}{\sqrt{3} -tan x}[/tex]
How many milligrams are in a 2 tsp dose of liquid medication if there are 2.5 g in 2 fl oz?
14. slope = -1; through (-3,5)
slope m = diffy/diffx = (14-5)/(6-3) = 9/3 m = 3. Then here's an example. Write the equation of a line that passes through the given point
1. Vinay applied the distributive property to the equation -5(m - 2) - 25. His equation then became --5m + 10 = -125. Did he apply the distributive property correctly?
Explain
Yes. When using the distributive property you need to multiply all the terms in the equation by the number that is in front of the parentheses.
No. The product of -5 and 25 is 125, not - 125.
No. Vinay also multiplied the right-hand side of the equation by --5, which is incorrect.
Yes. Vinay multiplied the terms on the left-hand side of the equation by -5, which is what you are supposed to do.
Answer:
C. No. Vinay also multiplied the right-hand side of the equation by --5, which is incorrect.Step-by-step explanation:
Proper application of the property:
- 5(m - 2) - 25 = -5m - 5(-2) - 25 = -5m + 10 - 25 = -5m - 15Vinay multiplied 5 and 25 as well, which is incorrect.
Correct answer choice is C.
Marie is choosing a bag of apples to make into a pie. She thinks the pie will be tastier if it has more apples. The bag of green apples weighs 4.75 pounds. The bag of red apples weighs 4.5 pounds.
Answer:
I don't know what the question is but there will be 9.25 pounds of apples?
Step-by-step explanation:
Why do you subtract when money is withdrawn
Answer:
You subtract because you're taking away money when you're withdrawing.
Answer:
Because withdrawal means taking out money from a total amount of money. That is we take away.
1. The weight of a newborn animal is given by the formula W = 3d + 9, where W is the weight
in grams and d is the number of days since hatching.
(a) What is the independent variable?
(b) What is the dependent variable?
(c) What will the weight of the newborn animal be 3 days after it hatches?
I need some help with this plz
Answer: acute angle
Step-by-step explanation:
Please help!!
What is the scale on the x-axis ?
What is the scale on the y-axis?
Please help I need to turn this in tonight
Answer:
f(x) = - (x + 3)² + 12Step-by-step explanation:
The vertex form:
f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola and a- the leading coefficientWe have on the graph:
(h, k) = (-3, 12)Substitute into equation:
f(x) = a(x - (-3))² + 12 = a(x + 3)² + 12Use the point (0, 3) to find the value of a:
3 = a(0 + 3)² + 123 = 9a + 129a = 3 - 129a = - 9a = -1So the function is:
f(x) = - (x + 3)² + 12Jim says that the square root of 200 is between 14 and 15. Do you think that is reasonable? Without using a calculator, can you help him make a more precise estimate?
Answer:
the answer is 14.14
Step-by-step explanation:
limθ→π/4 (cosθ−sinθ)/(θ– π/4)
Answer:
-√2
Step-by-step explanation:
For the typing purpose I replaced θ with n in the calculation
[tex]\lim_{n \to \frac{\pi }{4}} \frac{cos n-sin n}{\frac{\pi }{4} } ...limits L'Hopital's Rule\\= \lim_{n \to \frac{\pi }{4}} \frac{-sin n-cos n}{1 } ... plug. in . \frac{\pi }{4} \\= - sin \frac{\pi }{4} - cos \frac{\pi }{4}\\= - \frac{\sqrt{2} }{2} - \frac{\sqrt{2} }{2}\\= \frac{- 2\sqrt{2}}{2} \\= - \sqrt{2}[/tex]
Sarah wants to
install new carpet in her living room.
The small square is tiled and will not be
carpeted. How many square yards of
carpet will she need?
Answer:
24 yd^2
Step-by-step explanation:
6yd * 4yd = 24 yd^2
4. Andrew likes to solve puzzles.
It took him 4.5 minutes to complete one puzzle with 18 numbers.
It took him 6 minutes and 24 seconds to complete a different puzzle with 32 numbers.
a
For each puzzle work out how many seconds it took Andrew to complete one number.
b
Use your answer to part a to decide which puzzle Andrew completed faster.
Answer:
Step-by-step explanation:
Andrew likes to solve puzzles.
It took him 4.5 minutes to complete one puzzle with 18 numbers.
It took him 6 minutes and 24 seconds to complete a different puzzle with 32 numbers.
a For each puzzle work out how many seconds it took Andrew to complete one number.
b Use your answer to part a to decide which puzzle Andrew completed faster.
Pls help, I need it ASAP
May I please receive help?
Answer:
Equation of Parallel Line: y = -7x - 44
Equation of Perpendicular Line: y = x/7 - 8/7
Step-by-step explanation:
1) Parallel
Substitute (-6, -2) to find C
-2 = -7(-6) + c
-2 = 42 + c
-2 - 42 = c
c = -44
y = -7x -44
2) Perpendicular
Negative reciprocal
Substitute (-6, -2) to find C
-2 = 1/7(-6) + c
-2 = -6/7 + c
-2 + 6/7 = c
c = -8/7
y = 1/7x - 8/7 or
y = x/7 - 8/7
(a) It takes 32 pounds of seed to completely plant a 4-acre field. How many acres can be planted per pound of seed? Round to the nearest hundredth if necessary.
Answer:
32/4
= 8
So 8 pounds for one acre
1/8 = 0.125 acres can be filled with one pound
Identify the graph of the compound inequality (-2 <2x-6) (3x-12 510)
Answer:
Step-by-step explanation
just plug in 0 for z so it would change to -2<6
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)
Answer:
x = 12.2 mi
Step-by-step explanation:
Given the two sides of the right triangle:
a = 6.1 mi
b = 10.6 mi
c = x
Use the Pythagorean Theorem to solve for the value of the hypotenuse, x:
c² = a² + b²
c² = (6.1)² + (10.6)²
c² = 37.21 + 112.36
[tex]\sqrt{(c^{2})} = \sqrt{ 37.21 + 112.36 }[/tex]
[tex]\sqrt{(c^{2})} = \sqrt{ 37.21 + 112.36 }[/tex]
c = 12.2 mi
Therefore, x = 12.2 mi
___________
[tex] \: [/tex]
[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]
Step by step :x² = (10,6)² + (6,1)²
x² = 112,36 + 37,21
x² = 149,57
x = 12,22mi✔
FIND XY
X(-7, 2) and Y(5, -6)
Answer:
X - ( - 4, 0)
Y - ( 0, - 8/3)
There it is my dear friend.
Answer:
[tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
Sorry if i got it wrong...But let me know if it's right... if not I tried :(
Robert saved 15% of his paycheck
%
If he saved $30 how
,
muchi
his paycheck?
was
Answer:
$200
Step-by-step explanation:
Change 15% into decimal notation, that will give you 0.15
Divide $30 by 0.15
$30/0.15 = $200
Therefore, his paycheck was $200
The force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation, F=ma where m is the object’s mass. If a 12-Newton force causes the object to accelerate to 3 m/s2, what is that object’s mass? The unit for this mass is kg.
From Newton’s Second Law of Motion, the force needed to accelerate a moving object of mass m at acceleration a is given by ;
F = ma
In this case, m = 5kg, a = 6m/s^2 and we want to find F
F = 5 x 6
F = 30N
Therefore, a force of 30N is needed to accelerate a 5kg object at 6m/s^2.
This is 3 of 3 problems I need help with
Answer:
x=65
Step-by-step explanation:
PLEASE DUE IN 17 MINUTES
Answer:
No the lines are not perpendicular
Step-by-step explanation:
Slopes are not perpendicular reciprocals
You should know the __________ and ___________ of all safety equipment.
PLS HELP ME!!!!
-2(x-4)=10x+2
show ur work
Answer:
Step-by-step explanation:
-2(x-4) =10x+2
-2x--8= 10x+2
-2x+8= 10x+2
-2x+10x= 8+2
8x= 10
x= 0.8
Answer:
Step-by-step explanation:
To solve for x you first isolate the variable you want on one side. We will do this by using PEMDAS and expanding our terms fully first before we move our terms around.
[tex]-2(x-4)=10x+2\\-2x-8=10x+2[/tex]
We then isolate our term, remember to add numbers and variables to both sides so you aren't changing the value of the equation, and solve for x.[tex]-2x-8=10x+2\\-2x-8-2+2x=10x+2-2+2x\\-10=12x\\\frac{-10}{12}=x\\\frac{-6}{5}=x\\-1.2=x\\[/tex]
nye nye nye nye nye nye nye
Answer:
what question is this lol
Step-by-step explanation:
Alice purchased 4 1⁄2 kilograms of olive oil for $27. What is the price per kilogram?
=====================================================
Explanation:
The mixed number 4 & 1/2 converts to the decimal form 4.5
The unit price is 27/(4.5) = 6 dollars per kilogram
------
If you wanted, you can think of it like this ratio
4.5 kg : 27 dollars
Dividing both parts of that ratio by 4.5 will lead to
1 kg : 6 dollars
1. (i) Describe the relations pictured below using the following categories: Trend (correlation): Positive (increasing) or negative (decreasing) Strength: Strong or weak
Type: linear, non-linear, no trend
(ii) Draw a line or curve of best fit for those relations that have trends.
Answer:
INCREASING, DECREASING, DECREASING, INCREASING, INCREASING, DECREASING
STRONG, WEAK, WEAK, STRONG, STRONG, WEAK
Step-by-step explanation:
Factor 1/2 out of (1/2d + 6)
Answer:
6/7
Step-by-step explanation:
i watched a video
Solve for x. Remove the fractions first. 3/5(x-5)=-2/3
Answer:
x = 35/9 or 3 8/9
Step-by-step explanation:
removing the fractions implies using the distributive property, which is multiplying each term outside the parentheses by each term inside
in this problem, after distributing 3/5 we get:
3/5x - 3 = -2/3
we want to isolate the 'x' so we undo subtraction first by adding 3 to each side to get:
3/5x = 9/3 - 2/3
3/5 x = 7/3
x = 7/3 × 5/3
x = 35/9
3/5x = 7/3
we can get the 'x' by itself if we multiply each side by the reciprocal of 3/5, which is 5/3 to get:
x = 7/3 × 5/3
x = 35/3