Answer:
(-2 , -1)Step-by-step explanation:
[tex]\begin{cases}9x-9y=-9&\left(1 \right) \\ 3x+9y=-15&\left( 2\right) \end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}9x-9y=-9&\left( 1\right) \\ 12x=-24&\left( 1\right) +(2)\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}x-y=-1&\left( 1\right) \\ x=-2&\left( 1\right) +(2)\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=x+1=-2+1=-1&\left( 1\right) \\ x=-2&\left( 1\right) +(2)\end{cases}[/tex]
y is inversely proportional to a cubed
when a = 2 and y = 10
a is directly proportional to x
when x = 4 and a = 20
find a formula for y in terms of x
Answer:
[tex]y = kx \\ formula \: connecting \: y \: and \: x[/tex]
Provide an example of a treatment and a control group.
Answer:
let's say you wanted to know if Gatorade increased athletic performance. Your experimental group would be given the Gatorade and your control group would be given regular water. or an experiment in which the researcher tests whether or not a new fertilizer has an effect on plant growth.
Step-by-step explanation:
Answer:an example of a treatment and a control group a human experimental group could receive a new medication, a different form of counseling, or some vitamin supplements. A plant treatment group could receive a new plant fertilizer, more sunlight, or distilled water. The group that does not receive the treatment is called the control group
Step-by-step explanation:
The number of hours, t, it takes a boat to travel 15 miles upstream is represented
by the given equation.
15
t=
r-c
Which equation represents the rate of the current, c, in terms of r, the rate of the
boat, and t?
A.
15 - rt
CE
15-16
BC=
rt - 15
c = - 7
C. C= -15+r+t
D. C = 15 -r-t
The equation of c is an illustration of subject of formula
The equation of c in terms of r and t is c = r - 15/t
How to determine the equation?The equation is given as:
t = 15/(r - c)
Cross multiply
t(r - c) = 15
Divide both sides by t
r - c = 15/t
Subtract r from both sides
-c = -r + 15/t
Multiply both sides by -1
c = r - 15/t
Take LCM
[tex]c = \frac{rt - 15}{t}[/tex]
Hence, the equation of c in terms of r and t is [tex]c = \frac{rt - 15}{t}[/tex]
Read more about subject of formula at:
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Below is the table of values of a function. Write the output when the input is n
input 3 5 9 n
output 1 3 7 ?
what is the last output number?
Answer:
N=17
?=15
Explanation;
Check out my attached work
Hope it helps, let me know if you have any questions
What is the center of a circle whose equation is x2 y2 – 12x – 2y 12 = 0? (–12, –2) (–6, –1) (6, 1) (12, 2)
The center of a circle whose equation is x^2 +y^2 – 12x – 2y +12 = 0 is (6,1)
Equation of a circleThe standard equation of a circle is expressed as:
x^2 + y^2 + 2gx + 2fy + c = 0
where:
(-g, -f) is the centre of the circle
Given the equations
x^2 +y^2 – 12x – 2y +12 = 0
Compare
2gx = -12x
g = -6
Similarly
-2y = 2fy
f = -1
Centre = (6, 1)
Hence the center of a circle whose equation is x^2 +y^2 – 12x – 2y +12 = 0 is (6,1)
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Please help it’s do tomorrow
Answer:
3
Step-by-step explanation:
You divide 45 and 60 then you mutliple the number by 4 then find your anser after you done sovled this is how you solve it divided by 60=0.75 mutiply by 4=3 3 or 4/3
The sum of the areas of two circles is 80 square meters.find the length of a radius of each circle is one of them is twice as long as the other
Answer:
4 For Small
8 For big
Step-by-step explanation:
80 Square Inches in terms of pie, since one of the radius points are 2 times the other we can setup a equation
(Leaving out pi for simplicity)
R^2 + 2R^2= 80
Now since R is doubled in spot we can plug in points until we get the answer
1:2 (Too small)
2:4 (Too Small)
3:6 (Too small)
4:8 (Fits)
If we plug 4 for R it satisfies the equation for our criteria.
whats 4 x 4 x 4 divided by 2
Answer:
32
Step-by-step explanation:
4×4×4=64 then you divide 2 will be 32
Answer:
32
Step-by-step explanation:
4x4=16
16x4=64
64/2=32
[tex]Hence,TheAnswerTo...\\\frac{4^{3} }{2} =32[/tex]
Matt has a box that measures 23 feet long and 16 feet wide. The volume of the box is 4,416 cubic feet. What is the height of the box in yards?
Answer:
ok
Step-by-step explanation:
I need help with this please I will mark brainliest if possible
Step-by-step explanation:
[tex] - \sqrt{2 } \div 2[/tex]
Use the unit circle to help you!
What is the multiplication problem that means the same thing as the division problem 1/3 ÷ 7?
Answer:
1/21 * 7 = 1/3
Step-by-step explanation:
The numbers in 1/3 divided by 7 are labeled below:
1 = numerator3 = denominator7 = whole numberTo make it a fraction form answer, you keep the numerator and multiply the denominator by the whole number to make a new denominator:
1
-------
3 x 7
=
1
-----
21
Thus, the answer to 1/3 divided by 7 in fraction form is:
1/21
To make the answer to 1/3 divided by 7 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
1/21 = 0.04761904761
1/21 * 7 = 0.3333333333.... ( 1/3 )
Find the area using the given image.
Answer:
4.
Step-by-step explanation:
Area = 1/2 * base + height
= 1/2 * 2 * 4
= 4 unit^2.
which set of side lengths would form a right triangle
What percent of 175 is 122
Answer:
69.71%
Hope this helps!
Answer: 69.7142857%
Step-by-step explanation:
I think it’s b but I’m not sure
In the last several weeks, 67 days saw rain and 23 days saw high winds. In that same time period, 13 days saw both rain and high winds. How many days saw either rain or high winds
The number of days that had either rain or high winds for the considered case is 77
What is the addition rule of size for two subsets?For two subsets A and B of the universal set U, we have:
[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]
Assume that:
A and B be the subsets of what happens on each day.
Then in the days of last several weeks , we take:
A = set of days which had rainB = set of days which had high winds,then, as per the data given, we get:
n(A) = number of days seeing rain = 67n(B) = number of days seeing high winds = 23 n(A ∩B) = number of days seeing both rain and high winds = 13Thus, we get:
[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)\\n(A \cup B) = 67 + 23 - 13 = 77[/tex]
Thus, n(A ∪B) = number of days seeing either rain or high winds = 77
Thus, the number of days that had either rain or high winds for the considered case is 77
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[tex]\sf\fbox\red{។question។:-} [/tex]
Anastasia got 93% in her exam out of marks is 600 find out the obtained marks
options: a) 560 b)540 c)470 d)490
Answer:
A. 560
Step-by-step explanation:
multiply 600 by 0.93 in order to find out what 93% of 600 is.
600 x 0.93 = 558
since 558 isn't one of the options you find which one is closest to it, then divide by 600 in order to see if it's still 93%
a) 560/ 600 = 0.93333 = 93.3%
there's your answer.
but to compare it with the rest of the answer choices:
b) 540 / 600 = 0.9 = 90%
c) 470 / 600 = 0.78333 = 78.3%
d) 490 / 600 = 0.81667 = 81.6%
none of these are in the range of 93, so they're incorrect
f(x) = sinx - 3 cosx is a sinusoid.
True or false
===========================================================
Explanation:
The function can be broken down into the form
f(x) = g(x) - 3*h(x)
where,
g(x) = sin(x)
h(x) = cos(x)
Both g and h are sinusoidal with the same period of 2pi. Therefore, the linear combination of these functions is also sinusoidal with the same period of 2pi. If the periods didn't match up, then it's likely the function isn't sinusoidal and instead some other complicated crazy curve.
Extra notes:
A sinusoidal curve is one that has a steady up and down smooth sine curve to it. Think of a simple ocean wave. A cosine curve is really a sine curve in disguise. It's been phase shifted 90 degrees or pi/2 radians. It's not a coincidence that the word "sine" is found in "cosine".When I say "period of 2pi", I mean the curve repeats itself every 2pi radians. This is equivalent to 360 degrees. The repeating pattern goes on forever.
Solve u^2= -25, where u is a real number.
Simplify your answer as much as possible.
If there is more than one colution
the answer is ±5i :)
please help !!! im so lost with this
Answer:
hj means has a job
nj means no job
Step-by-step explanation:
here are two column vectors
Answer:
[tex] a = ( \frac{ - 6}{2} )[/tex]
Step-by-step explanation:
-2g=?
[tex] - 2( \frac{3 }{ - 1} ) \\ \\ ( \frac{ - 6}{2} )[/tex]
Patty has a checking account at a local bank. The monthly checking fee is $10, including any checks she writes. Nonbank ATM withdrawals cost $2. At the beginning of the month, Patty’s checking account balance is $700. She deposited $300 from her job and withdrew $20 in cash from a nonbank ATM. She wrote a check for $100 to a local charity. What is her checking account balance at the end of the month?
A) $958
B) $868
C) $728
D) $658
Answer:
B) 868
Step-by-step explanation:
1. You add 700+300 which is 1000
2. You subtract the amount wasted or withdrawn which will get you 880
3. You subtract the fees which will then get you 868 as your answer
The following table gives annual life insurance premiums per $1,000 of face value. Use the table to determine the annual premium for a $65,000 10-year term policy for a 20-year-old female. Round your answer to the nearest cent
Answer:
273.00
Step-by-step explanation:
solve using the square root method
Answer:
x = ±6
Step-by-step explanation:
→ Add 12 to both sides
1/3 x² = 12
→ Multiply both sides by 3
x² = 36
→ Square root both sides
x = ±6
Grade 12 Math:
Find the slope of the normal to the curve x = a cos³ θ, y = a sin³ θ at θ = π/4.
Don't give spam answers & don't post plagiarised answers either. I know the answer, I don't get the method though. It'll be helpful if someone solves it for me. Thanks.
Given x = acos³θ , y = asin³θ
Diffrentiating w.r.t. θ
dx/dθ = -3acos²θsinθ ____(1)
dy/dθ = 3asin²θcosθ ______(2)
diving (2) by (1)
dy/dθ ×dθ/dx = -( 3asin²θ cosθ /3acos²θsinθ )
dy/dx = - tanθ
dy/dx = slope of tangent = -tanθ
putting θ = π/4
∴ dy/dx =- tanπ/4 = -1
but , slope of normal = - 1/slope of tangent
∵ slope of normal = -1/-1 = 1
∴ slope of normal = 1 Answer
Answer:
Slope of normal = 1
Step-by-step explanation:
[tex]\sf x =aCos^3 \ \theta\\\\\dfrac{dy}{d \theta} = a*3Cos^2 \ \theta (-Sin \ \theta)\\[/tex]
[tex]\sf = -3aCos^2 \ \theta *Sin \ \theta[/tex]
[tex]\sf y =aSin^3 \ \theta\\\\\dfrac{dy}{d\theta}=a*3Sin^2 \ \theta*(Cos \ \theta)\\\dfrac{dy}{d\theta}=3aSin^2 \ \theta*Cos \ \theta[/tex]
[tex]\sf Slope \ of \ Tangent = \dfrac{dy}{dx} =\dfrac{dy}{d\theta} \div \dfrac{dx}{d\theta}[/tex]
[tex]\sf = \dfrac{3aSin^2 \ \theta \ Cos \ \theta}{-3aCos^2 \ \theta \ Sin \ \theta}\\\\ = \dfrac{-Sin \ \theta}{Cos \ \theta}\\\\= -tan \ \theta[/tex]
[tex]\theta = \dfrac{\pi }{4}\\\\-tan\ \theta = -tan \ \dfrac{\pi }{4} \\\boxed{tan \ \dfrac{\pi }{4}=-1}[/tex]
Slope of tangent * slope of normal = -1
[tex]\boxed{\text{Slope of normal =$\dfrac{-1}{Slope \ of \ tangent}$}}[/tex]
[tex]\sf \text{Slope of normal=\dfrac{-1}{-1}}[/tex][tex]\sf Slope \ of \ normal =\dfrac{-1}{-1}[/tex]
= 1
Find the value of tan(A+B)
Answer:
[tex]\tan (A+B) =-\frac{680}{111}[/tex]
Step-by-step explanation:
[tex]\tan A=\frac{12}{5}[/tex]
[tex]\cos B=\frac{45}{53}\implies \sec B=\frac{53}{45}[/tex]
Now, by trigonometric identity:
[tex]\tan^2 B =\sec^2B-1[/tex]
[tex]\implies \tan^2 B =\bigg(\frac{53}{45}\bigg)^2-1[/tex]
[tex]\implies \tan^2 B =\frac{(53)^2-(45)^2}{(45)^2}[/tex]
[tex]\implies \tan^2 B =\frac{(28)^2}{(45)^2}[/tex]
[tex]\implies \tan B =\pm\sqrt{\frac{(28)^2}{(45)^2}}[/tex]
[tex]\implies \tan B =\pm\frac{28}{45}[/tex]
It is given that: Angles A and B are in quadrant I.
---------------------> Angles A and B would be positive.
[tex]\implies \tan B =\frac{28}{45}[/tex]
Next,
[tex]\tan (A+B) =\frac{\tan A +\tan B}{1-\tan A \tan B}[/tex]
[tex]\implies \tan (A+B) =\frac{\frac{12}{5} +\frac{28}{45}}{1-\bigg(\frac{12}{5}\bigg) \bigg(\frac{28}{45}\bigg)}[/tex]
[tex]\implies \tan (A+B) =\frac{\frac{108}{45} +\frac{28}{45}}{1-\bigg(\frac{336}{225}\bigg)}[/tex]
[tex]\implies \tan (A+B) =\frac{\frac{136}{45}}{\bigg(\frac{225-336}{225}\bigg)}[/tex]
[tex]\implies \tan (A+B) =\frac{\frac{136}{45}}{\frac{-111}{225}}[/tex]
[tex]\implies \tan (A+B) =-\frac{680}{111}[/tex]
What is the slope of a line that is parallel to the line represented by the equation : y = 5x - 3?
Answer:
5
Step-by-step explanation:
This line equation is in y = mx + b form m will be the slope
m = 5 parallel line will have same slope = 5
joseph biked 1/4 mile in 90 seconds. Of he continued at this rate, how far did joseph bike in one hour?
Answer:
10 miles
Step-by-step explanation:
3600 ÷ 90 is 40 then 40÷4 is 10
Answer: 1/6mile
Step-by-step explanation:
¼mile in 1½hr
In 1½hr He biked ¼mile
in 1hr He biked ¼ ÷ 1½
¼ ÷ 1½
¼ ÷ 3/2
¼ × ⅔ = 2/12 = ⅙mile
Find the Surface Area.
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Surface areas and volumes.
Here we will find surface areas by adding individual parts.
Surface area ==> Small rectangle + big rectangle + base rectangle + 2* right angled triangles.
so we get as,
area of shape = 721.1 yards.
option D.) is correct.
What is the value of the given expression when a=3 and b=5?
12a+12b
Answer:
see explanation
Step-by-step explanation:
12(3)+12(5)=use a calculator.
Type it in a calculator.