What is the equatiqn of the line that passes through the point (-5, 4) and has a
slope of -3/5?
Answer:
y = -3/5x + 1
Step-by-step explanation:
We are given a point and the slope so all we need to solve for is the y-intercept and we can do that by using the slope intercept form formula [ y = mx + b ] where m = slope and b = y-intercept.
4 = -5(-3/5) + b
4 = 3 + b
1 = b
With the information we know, we can input the values into the formula once again.
y = -3/5x + 1
Best of Luck
plzz help............
[tex]\frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\[/tex]
====================================================
Proof:
Apply the derivative to choice A. The goal is to prove the derivative is equivalent to the given integrand.
[tex]y = \frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\\frac{dy}{dx} = \frac{4}{\pi}\left[\sin^{-1}(x)+\frac{x}{\sqrt{1-x^2}}-\frac{x}{\sqrt{1-x^2}}\right]-1\\\\\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-1\\\\[/tex]
It's far from obvious, but we can apply a bit of algebra like so
[tex]\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-1\\\\\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-\frac{\pi}{\pi}\\\\\frac{dy}{dx} = \frac{4\sin^{-1}(x)-\pi}{\pi}\\\\[/tex]
Next, we divide every term by 2. This is so we can replace the pi terms with pi/2
[tex]\frac{dy}{dx} = \frac{4\sin^{-1}(x)-\pi}{\pi}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\frac{\pi}{2}}{\frac{\pi}{2}}\\\\[/tex]
We do this to take advantage of the trig identity [tex]\sin^{-1}(x)+\cos^{-1}(x) = \frac{\pi}{2}[/tex]
So we'll be replacing every instance of "pi/2" with the left hand side of that equation just mentioned.
Therefore,
[tex]\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\frac{\pi}{2}}{\frac{\pi}{2}}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\left(\sin^{-1}(x)+\cos^{-1}(x)\right)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\frac{dy}{dx} = \frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\[/tex]
This shows that differentiating the expression in choice A leads to the given integrand.
If we reverse all of the steps mentioned, then we can show that:
[tex]\displaystyle\frac{dy}{dx} = \frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\\ \int\frac{dy}{dx}dx = \int\frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}dx\\\\\\y = \frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\[/tex]
since integrals and derivatives are tied together through inverse processes (one undoes the other more or less).
NEED HELP PLEASE !!!
Answer: 7/64 inch is bigger by 1/64 inch difference
Step-by-step explanation:
STEP ONE: Convert the denominators into Least Common Multiple (LCM)
LCM of 32 and 64:
First 3 multiples of 32: 32, 64, 96
First 3 multiples of 64: 64, 128, 192
Since 64 overlaps in both terms, 64 is the LCM of 32 and 64.
STEP TWO: Convert the fractions
3/32 = (3 × 2) / (32 × 2) = 6/64
7/64 = 7/64
STEP THREE: Compare the numerator to define the size of fractions
6 < 7, therefore, 6/64 < 7/64
7/64 - 6/64 = 1/64 inch
Hope this helps!! :)
Please let me know if you have any questions
Can someone Solve this math problem for me I'm having some trouble.
27×26+98÷25?
Answer:
705.92
Step-by-step explanation:
hope it's help
#MASTER GROUP
# FIRST MASTER
# PHILIPPINES
PLEASE HELP I WILL GIVE YOU A BRAINLY AND ALOT OF POINTS I HAVE A VERY LIMITED AMOUNT OF TIME PLSS
3x
x+3
x-3
x/3
x³
3^x (write the x small and above the 3 the same way as the 3 is written with the x above)
Answer:
3xx + 33 - x3/xx^33^xStep-by-step explanation:
2)
product means multiply 3*xSum means add x + 3Difference between means subtract. The first number is written first 3-xQuotient means divide 3/x. The first number is the numerator.Third power means x raised to the 3 x^3the xth power means 3^xWhat form of deductive reasoning is used in the given argument?
If it’s raining outside, I’ll wear my raincoat.
I am not wearing my raincoat.
It is not raining outside.
A.
law of detachment
B.
law of syllogism
C.
law of contrapositive
D.
identification of counterexample
Answer:
C.
law of contrapositive
Answer:
law of contrapositive
Step-by-step explanation:
Help me plessss!!
Brainliest to the best answer
If you can with procedimento that i understand how to do that
Step-by-step explanation:
8(b ÷ 2) - (c + 4)
(Putting values of b = 1/2 and c = 1/4)
[tex] = 8( \frac{1}{2} \div 2) - ( \frac{1}{4} + 4)[/tex]
[tex] = 8( \frac{1}{2} \times \frac{1}{2} ) - ( \frac{1 + 16}{4} )[/tex]
[tex] = 8 \times \frac{1}{4} - \frac{17}{4} [/tex]
[tex] = 2 - \frac{17}{4} [/tex]
[tex] = \frac{8 - 17}{4} [/tex]
[tex] = - \frac{9}{4} (ans)[/tex]
Answer:
It is A). -9/4
Step-by-step explanation:
[tex]8(b \div 2) - (c + 4)[/tex]
when b is ½ and c is ¼ :
[tex] = 8( \frac{1}{2} \div 2) - ( \frac{1}{4} + 4) \\ \\ = 8( \frac{1}{4} ) - ( \frac{17}{4} )[/tex]
open brackets:
[tex] = \frac{8}{4} - \frac{17}{4} [/tex]
from LCM formular:
[tex] = \frac{8 - 17}{4} \\ \\ = \frac{ - 9}{4} [/tex]
PLS HELP IF DONE CORRECTLY I WILL MARK AS BRAINLIEST!!! In ΔJKL, solve for x
Answer:
x = 74.89
Step-by-step explanation:
Because this is a right triangle we can use trigonometric ratios to solve for x
Remember the three main trig ratios are sine, cosine and tangent
Where
Sine = Opposite over Hypotenuse
Cosine = Adjacent over Hypotenuse
and Tangent = Opposite over Adjacent
In order to use trig ratios we must have a known angle that is not a right angle.
We are given ∠J which has a measure of 27°
We are also given ∠J's opposite side length. ( has a length of 34 )
and "x" is the hypotenuse.
When dealing with opposite and hypotenuse we use Sine
SineФ = Opposite over Hypotenuse
Ф = 27, opposite = 34 and hypotenuse = x
Sin(27) = 34/x
solve for x
Multiply both side by x
sin(27) x = 34
divide both sides by sin (27)
x = 34 / sin (27)
simplify
x = 74.89 ( rounded to the nearest hundredth )
and we are done!
Answer:
The answer is 74.89
Step-by-step explanation:
Well it gives you 2 angles and one side length using the formula Called SAS you can find the missing lengths and side x = 74.891 while the other side equals 66.729. Hope this helps
on monday 382 students went on a trip to the zoo. all 9 buses were filled and 4 students had to travel in cars. how many students were in each bus?
Answer:
42 students
Step-by-step explanation:
If 4 students had to travel in cars, then 382 - 4 = 378 students traveled in the buses. Since there were 9 buses, 378 / 9 = 42. Therefore, there were 42 students in each bus.
multiply : (5x+3a) (5x-3a)
find the square of 20.
Answer:
400
Step-by-step explanation:
[tex] {20}^{2} = 20 \times 20[/tex]
that is equal to 400
Answer: 400
Step by step explanation:
20*20= (2*2)*(10*10)= 4*100=400
Identify next three numbers in this sequence: 3, 12, 6, 24, 18, …
options :
27, 13.5, 22.5
72, 36, 144
72, 66, 264
27, 21, 30
If F(x) = 4x - 1 and G(x) = x2 + 7, what is G(Fx))?
Step-by-step explanation:
gof(x)= g(f(x))
gof(x)= g(4x-1)
gof(x)= (4x-1)²+7
gof(x)=16x²-8x+1+7
gof(x)=16x²-8x+8
i have no idea how to solve this help
Answer:
Length(L) = y
perimeter of square = 4L
since L = y
so perimeter of square is 4y
can someone please help me find the domain and range
Answer:
the domains are x axis or intercepts and range is y axis or intercepts
If p is true and q is false, the p->q is ____
true.
never
always
sometimes
Answer:
never
Step-by-step explanation:
p->q means if p is true, then q must also be true
but since q is false, p->q is never true
Answer: Never
Explanation:
The notation p -> q refers to a conditional statement.
Conditionals are only false when the first part (p) is true while the second part (q) is false. In other words, the template true --> false ultimately leads to a false statement. Otherwise, the entire thing is true.
In our case, we have something that fits the "true -> false" template, so that's why p -> q is never true when p = true and q = false.
How do you translate "Twelve decreased by a quarter of a number, x. in a variable expression
Answer:
12 - (1/4)x
Step-by-step explanation:
quarter of x is (1/4)x
Now, minus that from twelve.
find the possible formula for the nth term of sequence 7 11 15 9
Answer:
7, 11, 15, 19, 23, ... To get the terms in the original sequence, we need to add on 3 to each of the terms in the 4n sequence. Hence, the general formula for the nth term of the original sequence is 4n + 3.
hope this helped!!!
22. Juan and Mary each earn $7 an hour at a part time job.
If on a certain day Juan works 34 hours and Mary works
21 hours, what is the total amount of their earnings that day?
Answer:
Juan- $238
Mary- $147
Step-by-step explanation:
if they earn $7 an hour then you would multiply that by how many hours they worked. So 34×7=238 for Juan and 21×7=147 for Mary.
PLEASE HELP
Seven more than the quotient of a number and 5 is equal to 4.
Use the variable b for the unknown number.
Answer:
7 + b/5 = 4
OR
b/5 + 7 = 4
Step-by-step explanation:
also, b = -15
Do Not Pay Any Less, Mrs. Mess Puzzle
Mrs Mess was buying a set of garden furniture.
The bill was seventy dollars.
She gave the attendant what she thought were
two $50 bills, (actually two $100 bills).
The attendant was sleepy and didn't notice either,
so he gave Mrs. Mess what he thought were
three $10 bills (actually three $50 bills).
Who ended up better off than they should?
Answer:
Step-by-step explanation:
She owes 70
She pays 200
She gets 150
So the story is 200 220
She pays 200 and gets 220 including the furniture.
She 20 dollars to the good.
we are 5 red marbles a blue marbles and travel marbles in a bag separate rows are performed with the results and table what is the experiment property of randomly during green marble red pen blue 1228a what is the experiments of purposive random drawing green apple by does it sell it for profit of randomly drawn a green marble see what would you expect to happen if Mars has an experiment performed explain your reasoning using complete sentences
Answer:
elon musk
Step-by-step explanation:
he is a god on earth who drinks apples while eating tables in the milk ecosystem when hulk killed superman in washington-nigeria.
A city has a population of 240000 people. Suppose that each year the population grows by 5%. What will the population be after 8 years?
Answer:
354,589 people.
Step-by-step explanation:
Each year the population is 105% times the previous year.
105% = 1.05.
so in 8 years population will be:
240000*(1.05)^8
= 354,589.
An interger p is two-third of another and their difference is 10.find the two interferes
Answer:
30 , 20
Step-by-step explanation:
Let the other number = x
[tex]p = \dfrac{2}{3}x\\[/tex]
x - p = 10
Plugin p = (2/3)x in this equation,
[tex]x -\dfrac{2}{3}x=10\\\\\dfrac{3}{3}x-\dfrac{2}{3}x=10\\\\\dfrac{1}{3}x=10\\[/tex]
Multiply both side by 3
x = 10*3
x = 30
[tex]p=\dfrac{2}{3}*30\\\\p= 2 * 10[/tex]
p = 20
Answer:
30 and 20
Step-by-step explanation:
We have an integer p and another [tex]\frac{2}{3}[/tex] p , their difference is 10 , so
p - [tex]\frac{2}{3}[/tex] p = 10 ( multiply through by 3 to clear the fraction )
3p - 2p = 30 , that is
p = 30
and [tex]\frac{2}{3}[/tex] × 30 = 2 × 10 = 20
The 2 integers are 30 and 20
find the HCF
eg. first expression = 4a -8
=4(a-2)
Answer:
Step-by-step explanation:
ab² + 2a²b + a³ = a(b² + 2ab + a²)
Here variable 'a' is common in all the terms. HCF = a
2) 2ab² = 2 * a * b *b
4a²b = 2 * 2 *a * a * b
6a³ = 2 * 3 * a * a * a
HCF = 2a
2ab² - 4a²b - 6a³ = 2a(b² - 2ab - 3a²)
Look at image help plz!! Worth 30 points!
Answer:
t = Gx + a
Step-by-step explanation:
G = t - a/x (Given)
G(x) = (t - a/x)x (Multiply x on both sides)
Gx = t - a (Simplify)
Gx + a = t - a + a (Add a on both sides)
Gx + a = t (Simplify)
If there are 3.28 feet in a meter , how many are in the 110 meter dash?
In 110 meter dash, there are 360.8 feet.
What is Simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
Given that, there are 3.28 feet in a meter
Since,
in 1 meter there are = 3.28 feet
Thus in 110 meters there are = 3.28 * 110 feet
In 110 meters, there are = 360.8 feet
Therefore, there are 360.8 feet in 110 meters dash.
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10 A frustum is a portion of a solid. The frustum shown opposite is formed from a cone.
a What is the volume of the missing top cone? Give answers correct to the nearest cubic metre.
b What was the volume of the entire cone?
c What is the volume of the frustum?
Step-by-step explanation:
all you needed to do was a quick search on the internet : "volume of a cone".
and you get immediately :
pi×r²×h/3
the reason is similar to all other volume formulas : base area times height. for pyramids and cones there are factors included to reduce this a bit, because they simply don't go straight up from their base area, so they have less volume than comparable objects that do go straight up (like a cylinder compared to a cone).
r = radius
h = height
so, for a) we only need to use the calculator :
pi × 5² × 30 / 3 = pi×25×10 = 785.4 ≈ 785 m³
for b) we need to do the same thing, but with r = 10 and h = 60.
pi × 10² × 60 / 3 = pi×100×20 = 6283.2 ≈ 6283 m³
so, for c) we only need to subtract the result of a) from the result of b)
the frustum is the volume of the large cone minus the volume of small, top cone.
6283 - 785 = 5498 m³
Divide.
2.463÷104
24,630
0.2463
0.0002463
I don't know.
Answer:
0.023682692307692
Step-by-step explanation:
Above one is correct
Answer:
none of those answers are right the answer is 0.0236826923
Step-by-step explanation:
Practice questions for a textbook are marked with difficulty levels of easy, Intermediate, and difficult. 30 of the 149 practice questions are rated as intermediate, approximately what percentage of the questions are intermediate level?
The percent of questions that are intermediate is approximately %
(Round to the nearest whole percent as needed.)
X
3
VE
The required percentage of the 30 intermediate-level questions is 20%.
Given that,
Practice questions for a textbook are marked with difficulty levels of easy, Intermediate, and difficult. 30 of the 149 practice questions are rated as intermediate, approximately what percentage of the questions are intermediate level is to be determined.
the percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
the required percentage of the intermediate difficult question,
= 30 / 149 * 100
≈ 0.20 * 100
≈ 20%
Thus, the required percentage of the 30 intermediate level question is 20%.
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