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
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
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!
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.
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
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:
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.
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!!
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.
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
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.
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
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]
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
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.
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.
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.
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]
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]
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.
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
What is the sum of the angel measures of a triangle ?
All triangles equal 180 degrees.
The answer is 180 degrees.
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.
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.
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.
(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
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
Please help please!!
Answer:
-6 I think
Step-by-step explanation:
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
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.
yo my broski what's up
Answer:wazz up
Step-by-step explanation:
yooo what’s up dude