Answer:
c. over 65:))
Create a system and solve: Your AMAZING Algebra 2 teacher took you on a trip to Disneyland. 54 people attended. There was one chaperone for every 5 students. There were 5 more male students than female students. Determine the number of chaperones. I already the know the answer is 9, but i need to know how to get to the answer plz!!!!!!!!
Answer:
Number of chaperones = 9
Step-by-step explanation:
Given:
Total number of teacher = 2
Total people attend = 54
Find:
Number of chaperones
Computation:
Assume;
Number of chaperones = x
So,
x = [54-x] / 5
5x = 54 - x
6x = 54
x = 9
Number of chaperones = 9
A businessman has three favorite suits to wear and six different ties to
wear with them. How many different ensembles can he wear?
70 is 10 times as much as what
Answer:
Step-by-step explanation:
80
What is the slope intercept form. slope of 0 and passes through (1,3)
Answer:
Step-by-step explanation:
y - 3 = 0(x - 1)
y - 3 = 0
y = 3
Find the value of y if B is between A and C, AB is 2y, BC is 6y, and AC is 48.
Answer:
7. C. 6
8. H. √34
9. A. (1, 3.5)
10. J. 10
Step-by-step explanation:
7. AB = 2y, BC = 6y, AC = 48
AB + BC = AC (segment addition theorem)
Substitute the above values into the equation
2y + 6y = 48
Solve for y
8y = 48
Divide both sides by 8
8y/8 = 48/8
y = 6
8. Distance between P(2, 8) and Q(5, 3):
[tex] PQ = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] P(2, 8) = (x_1, y_1) [/tex]
[tex] Q(5, 3) = (x_2, y_2) [/tex]
[tex] PQ = \sqrt{(5 - 2)^2 + (3 - 8)^2} [/tex]
[tex] PQ = \sqrt{(3)^2 + (-5)^2} [/tex]
[tex] PQ = \sqrt{9 + 25} [/tex]
[tex] PQ = \sqrt{34} [/tex]
9. Midpoint (M) of segment LB, for L(8, 5) and B(-6, 2) is given as:
[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Let [tex] L(8, 5) = (x_1, y_1) [/tex]
[tex] B(-6, 2) = (x_2, y_2) [/tex]
Thus:
[tex] M(\frac{8 + (-6)}{2}, \frac{5 + 2}{2}) [/tex]
[tex] M(\frac{2}{2}, \frac{7}{2}) [/tex]
[tex] M(1, 3.5) [/tex]
10. M = -10, N = -20
Distance between M and N, MN = |-20 - (-10)|
= |-20 + 10| = |-10|
MN = 10
the distance covered by a car depends on how fast the car was going and on how long it has travelled?
Answer:
Yes it does
Step-by-step explanation:
Distance is equal to rate multiplied by time and the rate is how fast the car is going and how long is the time so yes it will be equal to distance.
The statement given in the question is TRUE that is "the distance covered by a car depends on how fast the car was going and on how long it has travelled"
The formula for calculating distance is expressed as;
[tex]distance=speed \times time[/tex]
From the formula we can see that:
distance depends on the speed i.e how fast an object is movingdistance also depends on the time taken by the car to travel.From the highlighted point, we can see that the statement given in the question is TRUE that is "the distance covered by a car depends on how fast the car was going and on how long it has travelled"
Learn more here: https://brainly.com/question/23774048
An artist is creating a mosaic using tile. Tiles are sold in boxes of 5,
and she already has 1 box of tiles from a previous project. Each tile
covers 6 square inches, and she plans to fill a rectangular space
that has dimensions of 14 inches wide and 15 inches long. How
many additional boxes of tiles does she need to purchase to
complete her work? **
Answer: 3
Step-by-step explanation:
Find the measure of angle VSW if angle WSR and angle VSW are complementary and the measure of angle WSR is four times the measure of angle VSW.
Answer:
28
Step-by-step explanation:
.7 repeating as a fraction
Answer:
7/9
Step-by-step explanation:
x = .7
10x = 7.7
10x - x = 7.7 repeating
9x = 7
x = 7/9
Bam
Pleasee help on this problem :(
Answer:
How can I help
Step-by-step explanation:
sir you need at least put something there because i can't really see it thank you no thank you
I roll a number cube twice. what is the probabity of rolling an even number and a 5?
Answer:
4/6
Step-by-step explanation:
there are three even numbers (3/6) and 3 odd numbers but you are only looking for 5 (1/6) so the answer is 4/6
hopefully this helps you :)
pls mark my answer brainlest I need it ;)
HELP 2 math questions 20 points
Answer:
4th option is the answer for first question.
4th option is the answee for second question.
Step-by-step explanation:
please mark me as a brainlist..
a square flower garden has an area of 1024 Square calculate its perimeterwhat is the area of a square whose perimeter is 84 metre
Answer:
The perimeter of a square is 128, the area when perimeter 84 is 441
Step-by-step explanation:
When the length of a square arm is l,
the area of a square is A = l^2.
So in your case, A = \sqrt{1024} = l^2
So l is simply, l = 32.
The perimeter of a square is, P = 4.l = 32*4 = 128
Again when the perimeter is, P = 84
l = 84/4 = 21
So then the area is, A = 21^2 = 441
Given g(x) = {x and h(x) = x2.
What is the difference between g(h(6)) and h(g(6))?
Answer:
g(h(6)) = 36
h(g(6)) = 36
Explanation:
There is no difference in this because we're just basically using the commutative property. For g(h(6)), you just plug in 6 for x² which will give you 36. And since g(x) = x, the value of x is 36. In the same way for h(g(6)), g(6) = 6 and h(6) = (6)² therefore getting you 36. For both equations though, you will get the same answer.
Answer:
g(h(6)) = 36
h(g(6)) = 36
Step-by-step explanation:
There is no difference in this because we're just basically using the commutative property. For g(h(6)), you just plug in 6 for x² which will give you 36. And since g(x) = x, the value of x is 36. In the same way for h(g(6)), g(6) = 6 and h(6) = (6)² therefore getting you 36. For both equations though, you will get the same answer.
Which algebraic expression represents the phrase “six less than a number”?
6x - x
x - 6
6 - x
x - 6x
Answer:
The answer is x-6
Step-by-step explanation:
x=(whatever number)
less means subtract
So the answer is x-6
Answer:
B is correct!!!!!!!!! x-6
Step-by-step explanation:
this is correct because when it says 'than' that means the whole answer flips around
Find the value of x. Report your answer as a decimal, rounded to the nearest tenth.
3/2 = 4/x
Examine the function f(x,y) = x^3 - 6xy + y^3 + 7 for relative extrema and saddle points.
Answer:
The points are "(2,2)".
Step-by-step explanation:
Given value:
[tex]f(x,y)=x^3-6xy+y^3+7[/tex]
Finding the first partial derivation which is equal to 0.
[tex]\to f_x(x,y)=3x^2-6y...............(a)\\\\ \to f_y(x,y)=-6x+3y^2...................(b)[/tex]
solve both the above equation by equal to 0.
For equation (a)
[tex]\to 3x^2-6y=0\\\\\to 3x^2=6y\\\\\to x^2=2y\\\\\to y=\frac{x^2}{2}\\\\[/tex]
For equation (b)
[tex]\to -6x+3y^2 =0 \\\\\to 3y^2 =6x\\\\\text{put the value of y in equation b}\\\\\to 3(\frac{x^2}{2})^2 -6x=0\\\\\to \frac{3}{4} x^4 -6x=0\\\\[/tex]
by solving the above value in the form of x we get:
[tex]\to x=0\\ \to x=2\\ \to x= -1 +\sqrt{3} i\\ \to x= -1 -\sqrt{3} i\\[/tex]
by solving the above value in the form of y we get:
[tex]\to y=0\\ \to y=2\\ \to y= -1 +\sqrt{3} i\\ \to y= -1 -\sqrt{3} i\\[/tex]
Solve the value by applying the second derivation method:
[tex]\to f_{xx}(x,y)=6x...............(a1)\\\\ \to f_{yy}(x,y)=6y...................(b2)\\\\\to f_{xy}(x,y)=-6...................(c2)[/tex]
calculating the value of discriminate:
[tex]d=f_{xx}(x,y) f_{yy}(x,y)-[f_{xy}(x,y)]^2[/tex]
The critical point of the given equation will be (2,2)
[tex]d=f_{xx}(2,2) f_{yy}(2,2)-[f_{xy}(2,2)]^2\\\\[/tex]
[tex]= (6 \times 2) (6 \times 2) -[(-6)^2]\\\\= (12) (12) -[36]\\\\= 144 -36\\\\= 108\\\\[/tex]
Answer:
[tex](2,2)[/tex] is a minimum point of the function [tex]f(x,y).[/tex]
Step-by-step explanation:
[tex]f(x,y)=x^3-6xy+y^3+7[/tex]
Find the partial differentiation w.r.t. [tex]x[/tex] and [tex]y[/tex].
[tex]\frac {\partial f}{\partial x}=3x^2-6y[/tex]
[tex]\frac {\partial f}{\partial y}=-6x+3y^2[/tex]
[tex]\frac {\partial^2 f}{\partial x^2}=6x[/tex]
[tex]\frac {\partial^2 f}{\partial y^2}=6y[/tex]
[tex]\frac{\partial f}{\partial xy}=-6[/tex]
Find the critical points.
[tex]\frac {\partial f}{\partial x}=\frac {\partial f}{\partial y}=0[/tex]
[tex]\Rightarrow 3x^2-6y=0 \;\text{and}\; -6x+3y^2=0[/tex]
[tex]\Rightarrow 6y=3x^2\Rightarrow y=\frac{x^2}2[/tex]
[tex]\Rightarrow -6x+\frac 34 x^4=0\Rightarrow \frac {x^3}4=2[/tex]
[tex]\Rightarrow x^3=8\Rightarrow x=2,y=2[/tex]
Therefore, [tex](2,2)[/tex] is a critical point.
Now, [tex]\frac {\partial^2 f}{\partial x^2}\frac {\partial^2 f}{\partial y^2}-{\frac {\partial f}{\partial xy}}^2[/tex]
[tex]=6x6y-36=36xy-36>0 \;\text{at critical point }\; (2,2)[/tex]
Thus, [tex](2,2)[/tex] is not a saddle point.
[tex]\because \frac{\partial^2 f}{\partial x^2}>0 \; \text{and}\; \frac {\partial^2 f}{\partial x^2}\frac {\partial^2 f}{\partial y^2}-{\frac {\partial f}{\partial xy}}^2>0 \;\text{at point}\; (2,2)[/tex]
Hence, [tex](2,2)[/tex] is a local minimum of a given function.
Which is the graph of the function f(x) = 3x2 + 2x - 6?
Compute the matrix of partial derivatives of the following functions.
(a) f(x, y) = (ex, sin(xy)) Drx, y) =
(b) f(x, y, z) = (x-y, y + z) Df(x, y, z) =
(c) f(x, y)-(xy, x - y, xy) Df(x, y) =
(d) rx, y, z) = (x + z, y-42, x-y) Df(x, y, z) =
For a vector-valued function
[tex]\mathbf f(\mathbf x)=\mathbf f(x_1,x_2,\ldots,x_n)=(f_1(x_1,x_2,\ldots,x_n),\ldots,f_m(x_1,x_2,\ldots,x_n))[/tex]
the matrix of partial derivatives (a.k.a. the Jacobian) is the [tex]m\times n[/tex] matrix in which the [tex](i,j)[/tex]-th entry is the derivative of [tex]f_i[/tex] with respect to [tex]x_j[/tex]:
[tex]D\mathbf f(\mathbf x)=\begin{bmatrix}\dfrac{\partial f_1}{\partial x_1}&\dfrac{\partial f_1}{\partial x_2}&\cdots&\dfrac{\partial f_1}{\partial x_n}\\\dfrac{\partial f_2}{\partial x_1}&\dfrac{\partial f_2}{\partial x_2}&\cdots&\dfrac{\partial f_2}{\partial x_n}\\\vdots&\vdots&\ddots&\vdots\\\dfrac{\partial f_m}{\partial x_1}&\dfrac{\partial f_m}{\partial x_2}&\cdots&\dfrac{\partial f_n}{\partial x_n}\end{bmatrix}[/tex]
So we have
(a)
[tex]D f(x,y)=\begin{bmatrix}\dfrac{\partial(e^x)}{\partial x}&\dfrac{\partial(e^x)}{\partial y}\\\dfrac{\partial(\sin(xy))}{\partial x}&\dfrac{\partial(\sin(xy))}{\partial y}\end{bmatrix}=\begin{bmatrix}e^x&0\\y\cos(xy)&x\cos(xy)\end{bmatrix}[/tex]
(b)
[tex]D f(x,y,z)=\begin{bmatrix}\dfrac{\partial(x-y)}{\partial x}&\dfrac{\partial(x-y)}{\partial y}&\dfrac{\partial(x-y)}{\partial z}\\\dfrac{\partial(y+z)}{\partial x}&\dfrac{\partial(y+z)}{\partial y}&\dfrac{\partial(y+z)}{\partial z}\end{bmatrix}=\begin{bmatrix}1&-1&0\\0&1&1\end{bmatrix}[/tex]
(c)
[tex]Df(x,y)=\begin{bmatrix}y&x\\1&-1\\y&x\end{bmatrix}[/tex]
(d)
[tex]Df(x,y,z)=\begin{bmatrix}1&0&1\\0&1&0\\1&-1&0\end{bmatrix}[/tex]
find the are of the yellow region. round to the nearest 10th.
Area of a square = side^2
In this problem,
Side = 5ft
Plug 5 into the formula above
Area = 5^2 = 25ft^2
But we have to subtract the area of the circle.
Area of a circle = πr^2
r = radius
The diameter is 5 ft and the radius of a circle is diameter / 2
The radius of this circle = 2.5
Let's plug that into our formula.
Area = π(2.5)^2 = 19.63.
Let's subtract the area of the circle from the square
25 - 19.63 = 5.37 = 5.4ft^2
The links of the sides of a triangle are given determine if the triangle is a right triangle if it is identify the hypotenuse
Answer:
I would choose A
Step-by-step explanation:
I chose A because it's an hypotenuse because of the different sides
HURRYYYYY PLEASE A teacher has 15 weeks in which to teach six chapters. Write an equation that represents the number of lessons the teacher must teach per week if there is an average of 8.5 lessons per chapter. WRITE THE EQUATION I HAVE THE ANSWER ALREADY
Answer:
3.4 lessons per week
Step-by-step explanation:
If the teacher has to teach 6 chapter in 15 weeks, and each chapter has around 8.5 lessons. it means that the teacher has to teach in 15 weeks a total amount of lessons of 6*8.5= 51.
so 15 weeks---51 lessons
1 week------x
From the above relation we have= 51/15= 3,4 lessons per week
Given: g(x)= x-4 and hix) = 2x-8.
What are the restrictions on the domain of go h?
(please help me i’m so done)
Answer:6
Step-by-step explanation:
Please help me!
If f(x) = 3x^3 -5, what is f(x) when x=2??
Answer:
19
Step-by-step explanation:
f(x) when x=2 is just a fancy way of saying substitute the x in this equation with 2.
so the equation becomes..
3(2)^3-5 ... remeber PEMDAS
3(8)-5
24 -5 =19
Can anyone help me in less than 5 minutes cuz I’m in school at the moment and still on unit 1 and supposed to be on unit 7 today
If ur available at anytime my number is
Answer:
I think C
Step-by-step explanation:
It has a whole number as numerator and denominator so it is rational and it is a real number, but it is not an integer because it is a fraction.
Answer:
Rational, and Real numbers.
Step-by-step explanation:
There's a certain overlapping sequence of categorizing:
Whole #, Integers, Rational, Real.
Fractions and decimals belong in Rational, so you could say they are real as well.
Hope this helps! (sorry about it being brief)
What is 23,465 rounded to the nearest ten thousand
Answer:
20,000
Step-by-step explanation:
Scince 4, (a number lower than 5) is in front of the 3 (which is in the 10,000's place), 20,000 should be the answer.
2x+7+2x=19 please help quick! We also need to show work
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
So we have the equation:
[tex]2x+7+2x=19[/tex]
First, let's combine like terms on the left:
[tex](2x+2x)+7=19[/tex]
Add:
[tex]4x+7=19[/tex]
Subtract 7 from both sides:
[tex](4x+7)-7=(19)-7[/tex]
The left side cancels. Subtract on the right:
[tex]4x=12[/tex]
Now, divide both sides by 4:
[tex]\frac{4x}{4}=\frac{12}{4}[/tex]
The left cancels. Divide on the right:
[tex]x=3[/tex]
So, the value of x is 3.
Answer:
X=3
Step-by-step explanation:
2x+2x(=4x)=19-7
4x=12
X=12\4(divide)
x=3
A man walking away from a lamppost with a light source h=8 m above the ground. The man is m= 2 m tall. How long is the man’s shadow when he is d=15 m from the lamppost?
Answer:
A man walking away from a lamppost with a light source h=8 m above the ground. The man is m= 2 m tall. How long is the man’s shadow when he is d=15 m from the lamppost?
Step-by-step explanation:
2/x=6/(10+x) cross multiply.
6x=2(10+x)
6x=20+2x
6x-2x=20
4x=20
x=20/4
x=5 m. is the length of the man's shadow.
ITS EASY PLS HELP!!!
Answer:
32/9
Step-by-step explanation:
Answer: 7/2 or 3 1/2
Step-by-step explanation:
Can anyone figure this out
11=5(x-2)+2x
11-2x=5(x-2)
(11-2x) / 5 = x-2
11/5=2.2
2.2-0.4x = x-2
4.2-0.4x=x
4.2=1.4x
x=3
Answer: x = 3
Step-by-step explanation:
5x -10 +2x = 11
7x = 21
x=3
Hope that helps!
