I just have a question, how did they get 36?.
Answer:
see below
Step-by-step explanation:
They are completing the square
x^2 +12x +29
Take the coefficient of the x term
12
Divide by 2
12/2 = 6
Square it
6^2 = 36
Add 36 and subtract 36
(x^2 +12x +36) -36 +29
Inside the parentheses becomes ( x+6)^2
I need help lol answers
A: 1 student
B: 6 students
C: 9 students
D: 16 students
Answer:
C
Step-by-step explanation:
16 - 7 = 9
Find all x-intercepts of the function. Express your answer as a list of x-values. f(x)=x^5−3x^3
Answer:
Step-by-step explanation:
To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y.
To find the x-intercept, set y = 0 \displaystyle y=0 y=0.
To find the y-intercept, set x = 0 \displaystyle x=0 x=0.
Doug started his math homework at 7:55 P.M. He finished all the problems at 8:15 P.M. How long did Doug spend doing his math homework?
Answer:
20 minutes
Step-by-step explanation:
If you add 20 minutes to 7:55 P.M., it becomes 8:15 P.M.
Answer:
20 minutos
Step-by-step explanation:
De 7:55 pm hasta las 8: pasaron 5 minutos, luego de 8:00 a 8:15 pm pasaron 15 minutos.
Así que sería 5 + 15 = 20 minutos
A circle fits in a square with sides of 12 inches. What is the approximate area of the shaded region between the square and the circle? (Use 3.14 for Pi and round to the nearest whole number.) A circle inside of a square with side lengths of 12 inches. The circle has a diameter of 12 inches.
Answer:
the answer is 30.96
Step-by-step explanation:
multiply 3.14 times 6×6-12×12
Plz help me solve this problem
The answer is 19 they worked it out right above the question.
Answer:
19
Step-by-step explanation:
3(x+6) = 5(x-4)
Distribute
3x+18 = 5x-20
Subtract 3x from each side
18 = 2x-20
Add 20 to each side
38 = 2x
Divide by 2
19 = x
The solution is 19
Draw a segment perpendicular to each given segment. Show your thinking by sketching triangles as needed.
Answer:
pls dont kill me for wacky lines. this shall just give you a basic idea. the important part is the 90° angle
Mrs. Benjamin baked some butter cookies and chocolate chip cookies in the ratio 7:3. After giving away 24 butter cookies, the ratio of butter cookies to chocolate chip cookies was 11:6. She then packed the rest of the cookies into bags of 4 without mixing them. How many bags of cookies of each type did she have?
Answer:
We have 28 bags of butter cookies and 12 bags of chocolate chip cookies
Step-by-step explanation:
Let b be the number of butter cookies and c the number of chocolate chips.
Since we have them in the ratio 7:3, b/c = 7/3 (1)
Also, when Mrs Benjamin gives away 24 butter cookies, the ratio becomes 11:6. So, the remaining number of butter cookies are b - 24. So, the ratio of remaining butter cookies to chocolate chips is (b - 24)/c = 11/6 (2)
From (1) b = 7c/3 and from (2) 6(b - 24) = 11c ⇒ 6b - 144 = 11c (3)
Substituting b into (3), we have
6b - 144 = 11c
6(7c/3) - 144 = 11c
2 × 7c - 144 = 11c
14c - 144 = 11c
subtracting 11c from both sides, we have
14c - 11c - 144 = 11c - 11c
14c - 11c - 144 = 0
adding 144 to both sides, we have
14c - 11c -144 + 144 = 144
14c - 11c = 144
3c = 144
c = 144/3
c = 48
So, b = 7c/3 = 7(48)/3 = 7 × 16 = 112
Since each cookie is packed into bags of 4, we divide the number of each cookie by 4 to find the number of bags of cookies.
So, number of bags of butter cookies = b/4 = 112/4 = 28 bags of butter cookies
number of bags of chocolate chip cookies = c/4 = 48/4 = 12 bags of chocolate chip cookies
So, we have 28 bags of butter cookies and 12 bags of chocolate chip cookies
The demand for energy drink as a function of price.
Find the equation of the line shown.
please I need it soon as possible
Answer:
Y=2x+0.5
Step-by-step explanation:
The gradient is 2/1=2x
The y-intercept looks to be around 0.5
Answer:
y = [tex]\frac{1}{2}[/tex] x + [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (1, 1) ← 2 points on the line
m = [tex]\frac{1-0}{1-(-1)}[/tex] = [tex]\frac{1}{1+1}[/tex] = [tex]\frac{1}{2}[/tex] , then
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, 1 ) , then
1 = [tex]\frac{1}{2}[/tex] + c ⇒ c = 1 - [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{2}[/tex]
y = [tex]\frac{1}{2}[/tex] x + [tex]\frac{1}{2}[/tex] ← equation of line
A cylinder has a base diameter of 8ft and a height of 2oft. What is its volume in cubic
ft, to the nearest tenths place?
Answer: rounded off to the nearest tenths, the volume is equivalent to
4022.9
Step-by-step explanation:
I don't understand please help
Step-by-step explanation:
Objective: Solving Piecewise Functions
Analyze the info in the graph.
We know that if x=1, the graph will coincide at 5.
If x is greater than 1, the answer will be x squared it answer so any positve interger greater than 1 the answer is that squared.
If x is less than 1, the answer will be double that x.
Let check the answer choices.
A is wrong because x is less than 1 so the answer should be 2(-2)=-4 not 4.
C is Wrong, since 5 is greater than 1, it must be 25 so 5^2=25
D and B are both right, 2 is greater than 1 so 2 squared =4 and Whenever x=1, it will equal 5.
Mariana made a quilt square with the design shown below.
https://cdn.app.edmentum.com/EdAssets/cfa811cb5c44407fbc5e76dd7dfc22a8?ts=635545793215170000
Which of the following best describes the shaded triangle with the given measures?
A.
obtuse isosceles triangle
B.
right scalene triangle
C.
obtuse scalene triangle
D.
right isosceles triangle
Answer:
B.
right scalene triangle
Step-by-step explanation:
5. Find m
(5x- 2)
(9x - 62)
Answer:
73
Step-by-step explanation:
(9x - 62)
(9(15) - 62) =
(135 - 62) =
(73)
m∠KJL = 73
Math Homework Jim Thompson June 13th
Answers:
3. E) -0.84. True5. True6. True7. D) 17.62%=========================================
Explanations:
3. We have negative correlation because the regression line is going downhill (move from left to right). The points are fairly close to the same regression line, so I'd say we have either moderate or fairly strong negative correlation. That means r is fairly close to -1. It's not -1 exactly since that would have to mean all points are on the same line.
-----------------
4. Negative correlation goes with negative r values. Refer to problem 3. Positive correlation goes to positive r values. The r value will most likely not equal the slope value, but they share the same sign.
----------------
5. If r is close to +1, then we have fairly strong positive linear correlation. If r is close to -1, then we have fairly strong negative linear correlation. If r = 0 or close to it, then we should use some other kind of regression tool. Or perhaps the data points are simply randomly scattered about and they have no pattern at all.
-----------------
6. Refer to problem 5.
-----------------
7. Plug in x = 15 and you should find that y = -0.632(15)+27.1 = 17.62, which means that the estimated tip is roughly 17.62% of the bill.
Help its due rn!!!!!!!!!! Please
Answer:
D po
Step-by-step explanation:
yan po!sana nakatulong po
If I had 2 500 apples and sold 200 how much apples would I have left
Answer:
2300 apples
Step-by-step explanation:
2500 - 200 = 2300
Answer:
2300
Step-by-step explanation:
2500 - 200 = 2300
Note: "have left" means the answer after subtraction.
Complete the list: (i^1) = I, (i^2)=-1, (1^3) = -I,(i^4) = ?
Show work
Answer:
[tex] {i}^{1} = i \\ {i}^{2} - 1 \\ {i}^{3} = - i \\ {i}^{4} = 1[/tex]
Mark me as Brainliest
The temperature on a thermostat is set to 72∘F, but the actual temperature can vary by as much as 2∘F. Let x represent the actual temperature to create an absolute value inequality to determine the range of possible-actual temperatures.
Any help is much appreciated :)
Using an absolute value inequality, it is found that the range of temperatures is between 70ºF and 74ºF.
---------------
The absolute value function measures the distance of a point to the origin, and is defined by:[tex]|x| = x, x \geq 0[/tex]
[tex]|x| = -x, x < 0[/tex]
---------------
The actual temperature is x, on a thermostat set to 72ºF. It can vary by as much as 2ºF, which means that the absolute value of the difference between x and 72 is at most 2, that is:[tex]|x - 72| \leq 2[/tex]
Solving the inequality:
The term is both greater or equal to -2 and at most 2, thus:[tex]x - 72 \geq >= -2[/tex]
[tex]x \geq 70[/tex]
And
[tex]x - 72 \leq 2[/tex]
[tex]x \leq 74[/tex]
Thus, the range of temperatures is between 70ºF and 74ºF.
A similar problem is given at https://brainly.com/question/24514895
someone please help answer this and explain what this is and how to solve this?
Answer:
easy it is 100 trust me
Step-by-step explanation:
m
Give one reason why banks charge people banking fees.
Answer:
banks change people fees to make a profit off of them other wise they would be giving away free money.
Step-by-step explanation:
hope this helps and what you were asking for.
find the solution to the system of equations
3x+3y+3z=27
x+3y+3z=17
x-2y-5z=0
can someone please help!
Answer:
1. 10² = 100Step-by-step explanation:
Using this same method of solving, solve the rest. I will help you with 2 more.
5. [tex]10^6[/tex] = 1,000,000
8. [tex]10^0[/tex] = 1
A rectangular room has an area of 16m2 the length of the room is 8m work out the width of the room
Answer:
1m=1000 mm.
1m^2=(1000)*(1000)=10^6 mm^2
So just multiply the given result in m^2 by 10^6 to get the result in mm^2.
So ,16 m^2 =16*(10^6)mm^2.
Hope you got it.
Solve for ABE
(It’s for geometry)
Answer:
<ABE = 109
Step-by-step explanation:
Angle Formed by Two Chords= 1/2(sum of Intercepted Arcs)
< ABE = 1/2 ( 38+180)
< ABE = 1/2 (218)
<ABE = 109
Answer:
Formula: Half the sum of the two arcs. So, this would be the equation:
[tex]\frac{1}{2}[/tex][tex](38[/tex]+[tex]180[/tex])
Solve:
218 / 2 = 109
Answer: 109
Find the area of the shaded region. Leave your answer in terms of pi.
Answer:
[tex]\displaystyle A_\text{shaded}=18-\frac{9}{2}\pi \text{ units}^2[/tex]
Step-by-step explanation:
First, find the area of the rectangle:
[tex]A_\text{rect}=9(3)=18\text{ units}^2[/tex]
In order to find the area of the shaded region, we can subtract the areas of the two sectors from the total area of the rectangle.
Find the area of the sectors. We can use the sector formula:
[tex]\displaystyle A=\pi r^2\cdot \frac{\theta}{360^\circ}[/tex]
The left sector has a radius of three units and an angle of 90°. Hence, its area is:
[tex]\displaystyle A_\text{L}=\pi (3)^2\cdot \frac{90}{360}=9\pi\cdot \frac{1}{4}=\frac{9}{4}\pi[/tex]
The right sector is identical to the left sector. So, the total area of the two sectors is:
[tex]\displaystyle A_{\text{T}}=\frac{9}{4}\pi +\frac{9}{4}\pi =\frac{9}{2}\pi[/tex]
Hence, the area of the shaded region is:
[tex]\displaystyle A_\text{shaded}=18-\frac{9}{2}\pi \text{ units}^2[/tex]
The picture is above I’ll mark as brainliest.
Answer:
?=5
Step-by-step explanation:
So let's do 16-6 (3*2)
10/2=5
Answer: ?=5
Step-by-step explanation:
In a rectangle the opposite sides are congruent (same length).
So we have ?+?+3+3=16
Let's use a variable for ?
x+x+3+3=16
Since there are 2 of the variable x we can write it as 2x since 2 of something means it's doubled. We can also combine 3 and 3.
2x+6=16
Let's subtract 6 from both sides.
[tex]2x+6-6=16-6\\2x=10[/tex]
Now let's divide both sides by 2 to find the value of x (which is ?)
[tex]\frac{2x}{2} =\frac{10}{2} \\x=5[/tex]
The value of x/? is 5.
HELP ASAP!! ILL MARK BRAINLIEST!! Anna must solve this equation.
(x^2)/4=x
Which three steps could Anna use to correctly solve the equation? Select from the drop-down menus to order the steps used to solve the equation.
Answer:
question 1:
step #1:divide both sides by x
step #2:multiply both sides by 4
step #3: plug it into equation
Step-by-step explanation:
question 1:
step #1: divide both sides by x
you get x/4 = 1
step #2:multiply both sides by 4
you get x = 4
step #3: plug it into equation
4 squared/4 = 4
what solutions to the following quadratic
3x^2 +15x-18=0
Answer:
x=-6 and x=1
Step-by-step explanation:
Given that:
[tex]3x^2+15x-18[/tex]
Now,
[tex]3x^2+15x-18=0\\[/tex]
Using the quadratic formula where a=3, b=15, and C=-18
x=-b±[tex]\sqrt{b^2-4ac} /2a[/tex]
x=-15±[tex]{\sqrt{15^2-4(3)(-18} } /2(3)[/tex]
x=-15±[tex]\sqrt{441} /6[/tex]
the discriminant [tex]b^2-4ac>0[/tex]
So, there are two real roots
x=-15±21/6
[tex]x=\frac{6}{6} \\x=1\\x=\frac{-36}{6} \\x=-6[/tex]
Therefore, x=-6 and x=1
Based on past experience, the main printer in a university computer centre is operating properly 90% of the time. Suppose inspections are made at 10 randomly selected times. A) What is the probability that the main printer is operating properly for exactly 9 inspections. B) What is the probability that the main printer is operating properly for at least 3 inspections? C) What is the expected number of inspections in which the main printer is operating properly?
Answer:
a) 38.74% probability that the main printer is operating properly for exactly 9 inspections.
b) Approximately 100% probability that the main printer is operating properly for at least 3 inspections.
c) The expected number of inspections in which the main printer is operating properly is 9.
Step-by-step explanation:
For each inspection, there are only two possible outcomes. Either it is operating correctly, or it is not. The probability of the printer operating correctly for an inspection is independent of any other inspection, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Based on past experience, the main printer in a university computer centre is operating properly 90% of the time.
This means that [tex]p = 0.9[/tex]
Suppose inspections are made at 10 randomly selected times.
This means that [tex]n = 10[/tex]
A) What is the probability that the main printer is operating properly for exactly 9 inspections.
This is [tex]P(X = 9)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 9) = C_{10,9}.(0.9)^{9}.(0.1)^{1} = 0.3874[/tex]
38.74% probability that the main printer is operating properly for exactly 9 inspections.
B) What is the probability that the main printer is operating properly for at least 3 inspections?
This is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{10,0}.(0.9)^{0}.(0.1)^{10} \approx 0[/tex]
[tex]P(X = 1) = C_{10,1}.(0.9)^{1}.(0.1)^{9} \approx 0[/tex]
[tex]P(X = 2) = C_{10,2}.(0.9)^{2}.(0.1)^{8} \approx 0[/tex]
Thus:
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0 + 0 = 0[/tex]
Then:
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0 = 1[/tex]
Approximately 100% probability that the main printer is operating properly for at least 3 inspections.
C) What is the expected number of inspections in which the main printer is operating properly?
The expected value for the binomial distribution is given by:
[tex]E(X) = np[/tex]
In this question:
[tex]E(X) = 10(0.9) = 9[/tex]