c is 36.
a perfect square trinomial, (x + y)² = x² + 2xy + y²
so, if we have the x of the 12x, what is left is the 12
since we also have the 2 (used for every square trinomial), 12/2 = 6
since c is the squared value, we do 6² = 36
hope it helps :)
Answer:
x2 + 2 (6) + 62 = (x + 6)2 a perfect square. Therefore c = 36
Rachel and Hugo sorted 236 crayons into boxes for a local arts project. Each box had 10 crayons. How many crayons were left over?
Help please lol
Answer:
6
Step-by-step explanation:
236/10 = 23 remainder 6, so 6 crayons is the answer
If the two angles are complementary, find the measure of each of angle.
Answer:
D 40 and 50
Step-by-step explanation:
Complimentary angles are equal to 90
Answer: D, 40 and 50
Steps:
1. Since complementary angles equal 90 degrees, 4r + 5r = 90
2. 4r + 5r is 9r
3. This makes the equation, 9r=90
4. Divide both sides by 9, and then you get r=10
5. Substitute r=10 into 4r and 5r
6. This should make 4(10) and 5(10)
7. Multiply and then get 40 and 50
Find the volume of this object.
Use 3 for a
Volume of a Cylinder
V=77r2h
Volume of a Cone
V= r2h
3
8 in
4 in-
13 in
V~ [?]in3
Help
Answer:
[tex]532 cm^{2}[/tex]
Step-by-step explanation:
Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width, and height not exceeding 144 in. What are the dimensions and volume of a square-based box with the greatest volume under these conditions?
Answer:
110592 in³
Step-by-step explanation:
Since baggage should take the shape of a box; with the sum of it's dimension not exceeding 144 ;
Dimensions of a box : length, width, height
If ; l + w + h = 144
Greatest volume is obtained when the dimension is equal : such that l = w = h
Hence, each dimension becomes ; 144 / 3 = 48 in
Volume of box = length * width * height
Volume = 48 * 48 * 48
Volume = 48³ = 110592
y=??
length =?
width =?
9514 1404 393
Answer:
y = 12 -x0 ≤ y ≤ 12Step-by-step explanation:
The perimeter of a rectangle is given by ...
P = 2(L +W) . . . . . where L and W represent the length and width
Filling in the given values, we have ...
24 = 2(y +x)
Solving for y, we get ...
12 = y + x . . . . . divide by 2
y = 12 -x . . . . . . subtract x
The length y is the difference between 12 and the width x.
__
We want both x and y to be non-negative, so possible values of y range from 0 to 12.
A jar contains 8 red marbles, 5 blue marbles and 3 green marbles. Christopher wins if he picks a red marble and Janet wins if he doesn’t pick a red marble. Is this game fair? Why or why not?
No, the game is not fair because Janet has a higher probability of winning than Christopher.
No, the game is not fair because Christopher has a higher probability of winning than Janet.
Yes, the game is fair because Christopher and Janet do not have an equal probability of winning.
Yes, the game is fair because Christopher and Janet have an equal probability of winning.
Answer:
Yes, the game is fair because Christopher and Janet have an equal probability of winning.
Step-by-step explanation: Christopher - Red marble=8
Janet - blue + green= 5+3= 8
Y^2-Y/Y answer please
Answer:
y - 1
Step-by-step explanation:
y^2 - y / y
Cancel out the numerator with the denominator, so cancel out the y's to get:
y - 1
Remember that there is a "hidden" 1 in front of the y. Meaning that it is "-1."
52 POINTS I need help!
Question 1
The vertex form of the equation of a vertical parabola is given by
, where (h, k) is the vertex of the parabola and the absolute value of p is the distance from the vertex to the focus, which is also the distance from the vertex to the directrix. You will use the GeoGebra geometry tool to create a vertical parabola and write the vertex form of its equation. Open GeoGebra, and complete each step below. If you need help, follow these instructions for using GeoGebra.
Part A
Mark the focus of the parabola you are going to create at F(6, 4). Draw a horizontal line that is 6 units below the focus. This line will be the directrix of your parabola. What is the equation of the line?
Part B
Construct the line that is perpendicular to the directrix and passes through the focus. This line will be the axis of symmetry of the parabola. What are the coordinates of the point of intersection, A, of the axis of symmetry and the directrix of the parabola?
Part C
Explain how you can locate the vertex, V, of the parabola with the given focus and directrix. Write the coordinates of the vertex.
Part D
Which way will the parabola open? Explain.
Part E
How can you find the value of p? Is the value of p for your parabola positive or negative? Explain.
Part F
What is the value of p for your parabola?
Part G
Based on your responses to parts C and E above, write the equation of the parabola in vertex form. Show your work.
Part H
Construct the parabola using the parabola tool in GeoGebra. Take a screenshot of your work, save it, and insert the image below.
Part I
Once you have constructed the parabola, use GeoGebra to display its equation. In the space below, rearrange the equation of the parabola shown in GeoGebra, and check whether it matches the equation in the vertex form that you wrote in part G. Show your work.
Part J
To practice writing the equations of vertical parabolas, write the equations of these parabolas in vertex form:
focus at (-5, -3), and directrix y = -6
focus at (10, -4), and directrix y = 6.
Answer:
Step-by-step explanation:
A. Directrix: y = 4-6 = -2
:::::
B. Axis of symmetry: x = 6
Axis of symmetry intersects directrix at (6,-2)
:::::
C . Vertex is halfway between focus and directrix, at (6,1)
:::::
D. The focus lies above the directrix, so the parabola opens upwards.
:::::
E. Focal length p = 1/(4×0.5)
:::::
F. p = 0.5
::::
G. y = 0.5(x-6)² + 1
Answer:
the one above is correct
Step-by-step explanation:
h.We start with a circle and a line that goes through the center of the circle (C) and one vertex of the triangle (E).
Using the point on the line opposite the vertex as a center (D), we draw an arc with the same radius the circle has.
The two points of intersection with the circle are the other two vertices of the inscribed triangle (F, G).
You are dealt one card from a standard 52-card deck. Find the probability of being dealt a diamond
The probability would be 1/52, since there are only 1 two of diamonds in all 52 cards.
Final answer. 1/52 or 1.92%
Answer:
13/52
Step-by-step explanation:
a standard 52-card deck has 13 diamond cards (1,2,3,4,5,6,7,8,9,10,J,Q,K)
P(diamond) = number of diamonds/number of cards in a deck = 13/52
Find the area of the shaded regions: the green is the shaded area
PLS HELP ME!!!! I NEED THE ANSWER BY THIS EVENING CUZ I HAVE RSM TOMORROW. PLS HELP!!!!!
Answer:
the green area stands for the safe operation space
Step-by-step explanation:
u say b×h meaning say 80degrees ×9cm which is 720..
Marquise has 200200200 meters of fencing to build a rectangular garden.
The garden's area (in square meters) as a function of the garden's width xxx (in meters) is modeled by:
A(x)=-x^2+100xA(x)=−x
2
+100xA, left parenthesis, x, right parenthesis, equals, minus, x, squared, plus, 100, x
WHAT IS THE MAXIMUM AREA POSSIBLE SQUARE METERS
Hence the maximum possible area is 2500 square meters
Given the area of the rectangular garden expressed as;
[tex]A(x)=-x^2+100x\\[/tex]
The maximum area occurs when dA(x)/dx = 0
[tex]\frac{dA(x)}{dx} = -2x + 100\\0= -2x + 100\\ 2x = 100\\x = \frac{100}{2}\\x = 50[/tex]
Next is to get the maximum area possible. Substitute x = 50 into the original function as shown;
[tex]A(50)= -50^2 + 100(50)\\A(50) = -2500+5000\\A(50) = 2500[/tex]
Hence the maximum possible area is 2500 square meters
Learn more here: https://brainly.com/question/17134596
2500 square meters
This question was on Khan Academy and I got it correct
The electric cooperative needs to know the mean household usage of electricity by its non-commercial customers in kWh per day. They would like the estimate to have a maximum error of 0.09 kWh. A previous study found that for an average family the variance is 5.76 kWh and the mean is 16.6 kWh per day. If they are using a 98% level of confidence, how large of a sample is required to estimate the mean usage of electricity
Answer:
A sample of 3851 is required.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]
Now, we have to find z in the Z-table as such z has a p-value of .
That is z with a pvalue of , so Z = 2.327.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Variance is 5.76 kWh
This means that [tex]\sigma = \sqrt{5.76} = 2.4[/tex]
They would like the estimate to have a maximum error of 0.09 kWh. How large of a sample is required to estimate the mean usage of electricity?
This is n for which M = 0.09. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.09 = 2.327\frac{2.4}{\sqrt{n}}[/tex]
[tex]0.09\sqrt{n} = 2.327*2.4[/tex]
[tex]\sqrt{n} = \frac{2.327*2.4}{0.09}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.327*2.4}{0.09})^2[/tex]
[tex]n = 3850.6[/tex]
Rounding up:
A sample of 3851 is required.
What is the slope of the line in the graph?
Answer:
The slope of this line is 1 and the equation for the line is y=x+1
Step-by-step explanation:
So take 2 points passing through the the line (0,1), (-1,0)
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (0,1), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=0 and y1=1.
Also, let's call the second point you gave, (-1,0), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-1 and y2=0.
Now, just plug the numbers into the formula for m above, like this:
m=
0 - 1
-1 - 0
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
y=1x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(0,1). When x of the line is 0, y of the line must be 1.
(-1,0). When x of the line is -1, y of the line must be 0.
Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=x+b. b is what we want, the 1 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (0,1) and (-1,0).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.
You can use either (x,y) point you want..the answer will be the same:
(0,1). y=mx+b or 1=1 × 0+b, or solving for b: b=1-(1)(0). b=1.
(-1,0). y=mx+b or 0=1 × -1+b, or solving for b: b=0-(1)(-1). b=1.
In both cases we got the same value for b. And this completes our problem.
The equation of the line that passes through the points
(0,1) and (-1,0)
is
y=x+1
Find the tangent line equations for the given functions at the given point(s): f(x) = tan x + 9 sin x at (π, 0)
Answer:
[tex]{ \bf{f(x) = \tan x + 9 \sin x }}[/tex]
For gradient, differentiate f(x):
[tex]{ \tt{ \frac{dy}{dx} = { \sec }^{2}x + 9 \cos x }}[/tex]
Substitute for x as π:
[tex]{ \tt{gradient = { \sec }^{2} \pi + 9 \cos(\pi ) }} \\ { \tt{gradient = - 8 }}[/tex]
Gradient of tangent = -8
[tex]{ \bf{y =mx + b }} \\ { \tt{0 = ( - 8\pi) + b}} \\ { \tt{b = 8\pi}} \\ y - intercept = 8\pi[/tex]
Equation of tangent:
[tex]{ \boxed{ \bf{y = - 8x + 8\pi}}}[/tex]
How to solve
(2.31*10^-6)+(3.41*10^3)
Aliza is drawing a model of the community swimming pool on grid paper. Each square on the grid is 20 feet by 20
feet.
Answer:
640 feet
Step-by-step explanation:
Count the length of each side. Add the lengths. Multiply by 20.
Start at the top left corner.
6 across
2 down
3 across
3 down
3 across
2 down
6 across
7 up
total = 32
32 X 20 = 640
Which answer choice correctly identifies the extraneous information in the problem?
Anna babysat 2 children on Saturday night. She charges $8 an hour to babysit. She wants to save the money she earns babysitting to buy a stereo system that cost $225. If Nina babysat for 5 hours, how much money did she earn?
Answer: $40 / $80
Step-by-step explanation: 40$ if it's $8 for BOTH per hour, or if it's $8 for ONE per hour it's $80
Solve the following equation for
a
a. Be sure to take into account whether a letter is capitalized or not.
Answer:
6/5 n = a
Step-by-step explanation:
n = 5/6a
Multiply each side by 6/5
6/5 n = 6/5 * 5/6a
6/5 n = a
The graph of the parent function f(x) = |x| is dashed and the graph of the transformed function g(x) = |x – h| is solid.
Use the slider to change the value of h. How does changing the value of h affect the vertex?
Positive values of h shift the graph .
Negative values of h shift the graph
9514 1404 393
Answer:
positive: rightnegative: leftStep-by-step explanation:
In the transformed function f(x-h), the value of h is the right shift of the parent function.
For h positive, shift is to the right.
For h negative, shift is to the left.
Changing the value of h shifts the graph horizontally. Positive values of h shift the graph to the right. Negative values shift left.
Note: there is a minus sign in front while the value of h is positive, i.e. |x - 5| is shifted 5 units to the right, and |x - (-5)| = |x + 5| is shifted 5 units to the left.
Find the length of the line in cm.
PLEASE HELP
Answer:
60cm
Step-by-step explanation:
12x-10x=120
2x=120
x=60
Answer:
60 cm
Step-by-step explanation:
We know that 12x - 10x = 120.
We simplify that to 2x = 120.
That way, x = 60.
The length of the line is 60 cm.
Use what you know about decomposing fractions to write 11/10 as a mixed number.
Help please :(
Answer:
11/10 is 1 1/10
Step-by-step explanation:
Student Engineers Council at an Indiana college has one student representative from each of the five engineering majors (civil, electrical, industrial, materials, and mechanical). Compute how many ways a president, a vice president, and a secretary can be selected.
Answer:
A president, a vice president, and a secretary can be selected in 60 ways.
Step-by-step explanation:
The order in which the people are chosen is important(first president, second vice president and third secretary), which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
3 students from a set of 5, so:
[tex]P_{(5,3)} = \frac{5!}{2!} = 5*4*3 = 60[/tex]
A president, a vice president, and a secretary can be selected in 60 ways.
Find the area of the trapezoid below in square centimeters (cm). The area of the trapezoid is
square centimeters. Enter the answer as decimal number
14 cm
8 cm
7 cm
8 cm
21 cm
The solution is
Answer:
122.5
Step-by-step explanation:
Use the area formula for a trapezoid (attached below as an image):
A = area in sq cm
a = top base
b = bottom base
h = height
Correspond the correct values with the variables:
a = 14
b = 21
h = 7
A = 1/2 * (14 + 21) * 7
A = 1/2*(35)*7
A = 17.5 * 7
A = 122.5 sq cm
Hope this helps (●'◡'●)
help me please pls this ur really hard help
help: Write as a polynomial: 7b(4c - b) + 4c(c - 7b)
Answer:
i think its 7b^2+4c^2 ?
Step-by-step explana
I need help ASAP is anyone available
Answer:
C
Step-by-step explanation:
The graph has asymptotes at x = 2 and x = -1 corresponding to the denominator of option C.
which of the following statements must br true about this diagram exterior and interior angles
Answer:
C: w > y
D: w > x
E: x + y = w
Evaluate f(x) when x= 6.
f(x)= {6x^2 +2 if 6 < x <9
12 if 9
6
12
74
218
Answer:
If i am not wrong the answer is 12
The IQR is used as a measure of variation when the distribution is ----------------.
Answer:
variability
Step-by-step explanation:
At a university, the percentages of Distinction", "Merit", and Pass' in students are 10%, 20%
70%, respectively. The probability that a D. M. P student obtain a scholarship are 0.8.0.3 and
0.05, respectively. What are the proportions of D. M. P student among scholarships?
Answer:
63% of all undergraduates receive at least one grant or scholarship.
Step-by-step explanation:
Scholarships and grants, which covered 31% of cost, and parent income and savings, which covered 30%, are the top two sources of funding. The share of cost paid from other resources are 14% from student borrowing, 13% from student income and savings, 10% from parent borrowing, and 2% from friends and family.
