Answer: A) y = -5 cos(2x - π)
Step-by-step explanation:
[tex]\text{The standard form of a cosine equation is: y=A sin(Bx - C) + D}\\\\\bullet\text{A = amplitude}\\\\\bullet\text{Period = }\dfrac{2\pi}{B}\\\\\bullet\text{Phase Shift = }\dfrac{C}{B}\\\\\bullet\text{D = vertical shift (up if positive, down if negative)}[/tex]
In the given graph,
A (amplitude) = 5Phase Shift [tex]\bigg(\dfrac{C}{B}\bigg) = \dfrac{\pi}{2}[/tex] to the rightP (period) = π --> B = 2D (vertical shift) = 0There is also a reflection across the x-axis.[tex]\implies \large\boxed{y = -5cos(2x-\pi)}[/tex]
see graph below for verification
yo my broski what's up
Answer:wazz up
Step-by-step explanation:
yooo what’s up dude
if f(x) = 4x + 3 and g(x) = √x-9 ,
which statement is true?
A.) 2 is in the domain of f ° g
B.) 2 is NOT in the domain of f ° g
Answer: Option B
2 is NOT in the domain of f ° g
Step-by-step explanation:
First we must perform the composition of both functions:
If [tex]g(x) = \sqrt{x-9}[/tex] and not [tex]\sqrt{x} -9[/tex]
[tex]f (x) = 4x + 3\\\\g (x) = \sqrt{x-9}\\\\f (g (x)) = 4 (\sqrt{x-9}) + 3[/tex]
The domain of the composite function will be all real numbers for which the term that is inside the root is greater than zero. When x equals 2, the expression within the root is less than zero
[tex]f (g (x)) = 4 (\sqrt{2-9}) + 3\\\\f (g (x)) = 4 (\sqrt{-7}) + 3[/tex]
The root of -7 does not exist in real numbers, therefore 2 does not belong to the domain of f ° g
The answer is Option B.
Note. If [tex]g(x) = \sqrt{x}-9[/tex]
So
[tex]f(g(x)) = 4(\sqrt{x})-36 + 3[/tex] And 2 belongs to the domain of the function
which of the following is not a measure of central tendency
Where is 'the following'?
(I'll Answer in comments just give detail)
Answer:
range
Step-by-step explanation:
this is because it is asking the not central which is range.
the number of apple s juan eats and the numbers of hours he sleep each night represents what type of correlation
Positive
Median
Negative
No correlation
Answer:
No correlation
Step-by-step explanation:
With the information provided, we have to conclude there is no correlation, since there is no apparent link between the two information.
It would be a positive correlation for example if we knew that the more apples Juan eats, the more he sleeps (or vice-versa).
It could be a negative correlation if we found that the more apples he eats, the less hours of sleep he has (or vice-versa).
But in this instance, we don't have any data indicating there is any form of correlation between those two numbers.
factor -7x^3+21x^2+3x-9 by grouping
Answer:
[tex](-7x^2+3)(x-3)[/tex]
Step-by-step explanation:
We can take "common" from first 2 terms and common from next 2 terms. Shown below:
[tex]-7x^3+21x^2+3x-9\\-7x^2(x-3)+3(x-3)\\(-7x^2+3)(x-3)[/tex]
That's how we do it. We can't simplify, or factor, any further.
The formula for the area of a square is s2, where s is the side length of the square. What is the area of a square with a side length of 6 centimeters? Do not include units in your answer.
Answer:
36
Step-by-step explanation:
If s is the side length, then the area of the square is
A = s^ = (6)^2 = 36
This is how you were expected to answer this question. However, the actual correct answer is 36 cm^2.
Answer:
36
Step-by-step explanation:
3m + n =7
m + 2n = 9
Answer:
n = 4, m = 1
Step-by-step explanation:
Given the 2 equations
3m + n = 7 → (1)
m + 2n = 9 → (2)
Rearrange (2) expressing m in terms of n, by subtracting 2n from both sides
m = 9 - 2n → (3)
Substitute m = 9 - 2n into (1)
3(9 - 2n) + n = 7 ← distribute left side
27 - 6n + n = 7 ← simplify left side
27 - 5n = 7 ( subtract 27 from both sides )
- 5n = - 20 ( divide both sides by - 5 )
n = 4
Substitute n = 4 into (3) for corresponding value of m
m = 9 - (2 × 4) = 9 - 8 = 1
Thus m = 1 and n = 4
What is the sum of the angel measures of a triangle ?
All triangles equal 180 degrees.
The answer is 180 degrees.
A dogs leash allows him to walk in a circle the leash is 6ft long what is the size of the yard inside the circle the dog can walk
Answer:
113.09733552923 in2
Step-by-step explanation:
The leash is basically the radius. If the radius is 6...
If you find the area of the circle using the formula πr square. π=3.14. you can do the rest.
solve the system x=3y+9 9-x=-3y
a) no solution
b) infinite solutions
c) (3,-1)
d) (0,3)
I believe I did this correctly. Comment to tell me if I didn't.
__________________________________
I got infinite solutions.
For the second problem, I subtracted 9 from both sides. Then I divided them all by -1. They are the same equations.
ANSWER
b) infinite solutions
EXPLANATION
The given system is:
x=3y+9 ...(1)
9-x=-3y...(2)
Put equation (1) into equation (2)
This implies that,
9-(3y+9)=-3y
Expand the parenthesis,
9-3y-9=-3y
-3y=-3y
1=1
This implies that, that the system has infinitely many solutions.
How to expand 3(n+7)
Answer:
3n+21
Step-by-step explanation:
3 × n =3n
3 × (+7) = +21
Answer:
Use distributive property.
3(n+7),
3*n + 3*7=
3n + 21
Hope this helps and have a great day!
an above ground swimming pool is priced at $525.There is a 7% sales tax rate.What is the sales tax for the above ground swimming pool in dollars and cents.
Answer:
$36.75
Step-by-step explanation:
Answer: the sales tax alone is $36.75
the above ground pool with the sales tax is 561.75
Step-by-step explanation:
525x.07 =36.75
525x1.07=561.75 or another way you could do it is 525+36.75=561.75
if Lylah completes the square for f(x)=x squared -12x+7 in order to find the minimum she must write f(x) in the general form f(x)=(x-a)squared +b what is the value of a for f(x)? A. 6 B. -6 C. 12 D. -12
Answer:
A. 6
Step-by-step explanation:
f(x) = x² − 12x + 7
To complete the square, we first factor the leading coefficient to make it 1 (which it already is).
Then, we take half the second coefficient, square it, and then add to both sides. So (-12/2)² = (-6)² = 36.
f(x) + 36 = x² − 12x + 36 + 7
Then we factor the perfect square:
f(x) + 36 = (x − 6)² + 7
Then solve for f(x) by subtracting and simplifying:
f(x) = (x − 6)² + 7 − 36
f(x) = (x − 6)² − 29
So the value of a is 6.
Solve the quadratic equation for x. What is one of the roots?
(x + 6)2 = 49
A) −13
B) −6
C) −7
D) −1
Answer:
A) −13
Step-by-step explanation:
(x + 6)^2 = 49
Take the square root of each side
sqrt((x + 6)^2) = ±sqrt(49)
x+6 = ±7
Subtract 6 from each side
x+6-6 = -6 ±7
x =-6 ±7
Separating into 2 parts
x = -6+7 x = -6-7
x = 1 x = -13
Which is the equation of the line that passes through (6, 2) and is perpendicular to a line with slope -1/3?
A. y-6=-1/3(x-2)
B. y-2=1/3(x-6)
C. y-2=3(x-6)
D. y-6=-3(x-2)
E. y-2=-3(x-6)
Answer:
C
Step-by-step explanation:
[tex] \frac{ - 1}{3} \times a = -1[/tex]
then
[tex]a = 3 \: where \: a \: is \: our \: line \: slope[/tex]
Answer:
[tex]\boxed{\text{C. } y - 2 = 3(x - 6)}[/tex]
Step-by-step explanation:
The slope of the perpendicular line m₂ must be the negative reciprocal of the slope m₁ of the first line.
[tex]m_{2} = -\dfrac{1}{m_{1}} = -\dfrac{1}{-\frac{1}{3}} = 3[/tex]
The only equation with m = 3 is
[tex]\boxed{\textbf{C. } y - 2 = 3(x - 6)}[/tex]
This is the point slope form of the equation for a straight line through (6, 2) with slope = 3.
The value of √13 is between _____.
2 and 3
3 and 4
4 and 5
5 and 6
Answer: Second option.
Step-by-step explanation:
The square root of a number "x" is a number "b" that multiplied by itself is "x":
[tex]b*b=x[/tex]
We know that the square root of 16 is 4 ([tex]\sqrt{16}=4[/tex]) because:
[tex]4*4=16[/tex]
Then [tex]\sqrt{13}[/tex] should be less than 4.
We know that the square root of 9 is 3 ([tex]\sqrt{9}=3[/tex]) because:
[tex]3*3=9[/tex]
Then [tex]\sqrt{13}[/tex] should be greater than 3.
Therefore, the value of [tex]\sqrt{13}[/tex] is between 3 and 4.
This matches with the second option.
Hello Brainly Student! Your answer is 3 and 4! Hope this helped!!
How many solutions can be found for the linear equation?
3(x + 4) = 3x + 4
None.
Distribute the 3 to the (x + 4) to get 3x + 12.
Subtract 3x from both sides to get 12 = 4.
This is not true, so there are no solutions.
please help ASAP will give brainlist.
Which of the following statements is always true when parallel lines are cut by a transversal?
A. The sum of the degree measure of corresponding angles is 180°.
B. Corresponding angles are congruent.
C. The angles in a vertical pair are a cute.
D. The sum of the degree measure of complementary angles is 180°.
Answer:
B
Step-by-step explanation:
Corresponding angles are not always congruent
Corresponding angles are congruent.
Answer is B.
what is
40π=5⁄18πr2
(5/18 is a fraction and 2 is an exponent)
r1 = -12 and r2 = 12
[tex]\bf 40\pi =\cfrac{5}{18}\pi r^2\implies 40\pi =\cfrac{5\pi r^2}{18}\implies 720\pi =5\pi r^2\implies \cfrac{720\pi }{5\pi }=r^2 \\\\\\ 144=r^2\implies \sqrt{144}=r\implies 12=r[/tex]
Differentiate which of the following models best fits the data.
(-2,-1), (0,1), (1,2), (3,4), (5,6)
f(x) = – x2+ 2x - 3
f(x) = x + 1
f(x) = - x3 + x + 1
f(x) = (2)x
Answer:
Option B f(x) = x + 1
Step-by-step explanation:
The given points are
x y Relationship (x & y)
-2 -1 -2 + 1 = -1
0 1 0 + 1 = 1
1 2 1 + 1 = 2
3 4 3 + 1 = 4
5 6 5 + 1 = 6
As we can see the difference in x and y values of each ordered pairs is one
Therefore, relationship between x & y that can be represented by y = x + 1
Option B f(x) = x + 1 is the answer.
Need help very badly.
Find the area of the shaded region.
Round to the nearest tenth
The area of the square is 36 squared inches, because it is a square with a side of 6 inches.
The two semicircles have a radius of 3 inches. If we subtract their areas from the area of the square, we have
[tex]36-2\left(\dfrac{\pi\cdot 3^2}{2}\right) = 36-9\pi[/tex]
The shaded region is half of this area, so the answer is
[tex]\dfrac{36-9\pi}{2} \approx 7.7[/tex]
36 minus 9 multiplied by Pi . Then divide that answer by 2 to get 7.7
Which is equivalent to log2 n= 4?
Answer:
n = 16Step-by-step explanation:
[tex]\text{De}\text{finition of logarithm:}\\\\\log_ab=c\iff a^c=b\\\\\text{where}\ a>0\ \wedge\ a\neq1\ \wedge\ b>0\ \wedge\ c\in\mathbb{R}\\===========================\\\\\log_2n=4\iff n=2^4\\\\n=16[/tex]
Answer:
I don't know what answers you were given to your problem but I think the answer is
D) log n =4log2
Sorry if I got it wrong.
What is the amplitude of the sinusoids function m(x)= -3.5 cos x
Answer:
The amplitude of the given sinusoidal function is 3.5
Step-by-step explanation:
The given sinusoidal function is
[tex]m(x)=-3.5\cos x[/tex]
This function is of the form:
[tex]m(x)=a\cos bx[/tex]
where
a=|-3.5|=3.5 is the amplitude.
Therefore the amplitude of the given sinusoidal function is 3.5
Need HELP ASAP!!!!!!
Answer:
The variation equation is
[tex] f = \frac{k.m_1.m_2}{ {r}^{2} } [/tex]
step-by-step explanation:
From the question, the two masses are
[tex]m_1 \: and \: m_2[/tex]
This implies that the product of the two masses
[tex] = m_1 \times m_2 = m_1.m_2[/tex]
Moreover, the force,f varies directly with the products of the two masses
[tex] \implies \: f\propto m_1.m_2....eqn.1[/tex]
Also, the force varies inversely with the square of the distance,r
[tex] \implies \: f\propto \frac{1}{ {r}^{2} }.......eqn.2[/tex]
Joining equation 1 and 2, we got
[tex] \implies \: f\propto \frac{1}{ {r}^{2}} \times m_1.m_2[/tex]
[tex] \implies \: f \propto\frac{m_1.m_2}{ {r}^{2}}[/tex]
But the constant of variation is k
Multiplying the right hand side of the equation by k, we got
[tex] \implies \:f=\frac{k.m_1.m_2}{ {r}^{2}}[/tex]
how can u find the median if there are two numbers left in between? look at the pic (question 5)
T o find the median if there are two numbers in between find the mean or the average. To do that add up the 2 middle numbers then divide by 2 that's your median
(25 pts)
Which below is largest when evaluated?
A. 8P5
B. 9P1
C. 9P6
D.8P1
Please select the best answer from the choices provided
A
B
C
D
Answer:
C. 9P6
Step-by-step explanation:
Given choices are :
A. 8P5
B. 9P1
C. 9P6
D.8P1
Now we need to find about which below is largest when evaluated.
So let's evaluate them using formula:
[tex]nPr=\frac{n!}{\left(n-r\right)!}[/tex]
[tex]8P5=\frac{8!}{\left(8-5\right)!}=\frac{8!}{\left(3\right)!}=6720[/tex]
[tex]9P1=\frac{9!}{\left(9-1\right)!}=\frac{9!}{\left(8\right)!}=9[/tex]
[tex]9P6=\frac{9!}{\left(9-6\right)!}=\frac{9!}{\left(3\right)!}=60480[/tex]
[tex]8P1=\frac{8!}{\left(8-1\right)!}=\frac{8!}{\left(7\right)!}=8[/tex]
Largest value among those numbers is 60480.
Hence correct choice is C. 9P6
Please help please!!
Answer:
-6 I think
Step-by-step explanation:
What is the value of the expression? 121
A) 11
B) 13
C) 60.5
D) 11
The value of the expression for 121 is 11
Identify two values that have a value less than 3 what is the answer to this question?
Answer:
the answer is 2.9 x 10^0 and 3.2 x 10^-2
Step-by-step explanation:
10^0 is equal to 1 so 2.9 x 10^0 is really 2.9 times 1 which is less than 3
if i could get brainliest answer that would be great!
10^-2 is a exponential that makes a number go down so 3.2 going down is less than 3
Answer:
C and D
Step-by-step explanation:
A. 2.9 × 10¹ = 2.9 × 10 = 29
B. 3.2 × 10³ = 3.2 × 1000 = 3000
C. 2.9 × 10⁰ = 2.9 × 1 = 2.9
D. 3.2 × 10⁻² = 3.2 × 0.01 = 0.032
Both C and D have values less than 3.
A cylindrical shaped drum is used to store basketballs in a gymnasium. The hollow drum measures 48 inches high with a 24 inch radius. If the radius of a basketball is 6 inches, the maximum number of basketballs that the cylindrical drum contains is_____(192, 96, 48)
Answer:
[tex]96\ basketballs[/tex]
Step-by-step explanation:
step 1
Find the volume of the cylinder (hollow drum)
The volume is equal to
[tex]V=\pi r^{2} h[/tex]
we have
[tex]h=48\ in[/tex]
[tex]r=24\ in[/tex]
substitute
[tex]V=\pi (24)^{2} (48)[/tex]
[tex]V=27,648\pi\ in^{3}[/tex]
step 2
Find the volume of one basketball
The volume of the sphere is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
we have
[tex]r=6\ in[/tex]
substitute
[tex]V=\frac{4}{3}\pi (6)^{3}[/tex]
[tex]V=288\pi\ in^{3}[/tex]
step 3
Find the maximum number of basketballs that the cylindrical drum contains
so
Divide the volume of the cylinder by the volume of one basketball
[tex]27,648\pi/288\pi=96\ basketballs[/tex]