Answer:
The slope is 3. graph it every time the line hits an exact point
Step-by-step explanation:
HEEEEEEEEEEEELLLLLLPPPPPPPPP
Write the given equation in the form of an equation of a sphere and find its center and radius.
x2 + y2 + z2 = 12x + 2y
equation =
center (x, y, z) =
radius =
Complete whatever squares you can:
x² - 12x = x² - 12x + 36 - 36 = (x - 6)² - 36
y² - 2y = y² - 2y + 1 - 1 = (y - 1)² - 1
So rewrite the equation as
x² + y² + z² = 12x + 2y
→ x² - 12x + y² - 2y + z² = 0
→ (x - 6)² - 36 + (y - 1)² - 1 + z² = 0
→ (x - 6)² + (y - 1)² + z² = 37
Then the center is (x, y, z) = (6, 1, 0), and its radius is √(37).
Answer:The radius is the square root of the constant term, z
Step-by-step explanation:
edge 2021
An article on polygraph testing of FBI agents indicated that the probability of a false-positive (a trustworthy person who nonetheless fails the test) is 0.25. Let x be the number of trustworthy FBI agents tested until someone fails the test. (Round your answers to four decimal places.)(a) Describe the probability distribution of x.
normalgeometric binomial(b) What is the probability that the first false-positive will occur when the third person is tested?(c) What is the probability that fewer than four are tested before the first false-positive occurs?(d) What is the probability that more than three agents are tested before the first false-positive occurs?
Answer:
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Step-by-step explanation:
Determine the value of y, if x = -3.
y = |x + |1|
Answer:
Step-by-step explanation:
, if x = -3.
y = |x + |1|
So value of Y is
Y=|-3|+|1|
Y=3+1
Y=4
Answer is 4
[tex]y = 4[/tex]
Step-by-step explanation:[tex]y = |x + |1|\\[/tex]
| | = absolute value (how far it is from 0)
[tex]y = |-3 + |1|\\\\\\|-3| =3\\\\|3 +1| =3 + 1 \\3 + 1= 4\\[/tex][tex]\LARGE\boxed {y = 4}[/tex]
Let me know if you have any other questions or concerns!~[tex]InLoveWithPugs[/tex]
[tex]Moderator\\Math\ Enthusiast[/tex]
Help please? Write the equation for the Red line.
Solve 4X squared minus X -5 equals zero
your answer should be 1/3 if I did my math right
Ballio has a reading goal. he checks three boxes of 9 books out from the library. after finish all the books, he realizes that he beat his goal by four books! how many books did Ballio have as his reading goal
HELP ME PLEASE geometry only answer if you know please!
Answer:
2. Reason: Addition Property of Equality
3. Statement: 3x=18
4. Reason: Division property of Equality
5. Statement: x=6 Reason: Simplifying.
Step-by-step explanation:
I'm pretty sure this is correct.
A truck with 30-inch diameter wheels is traveling at 70 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) ____ revolutions per minute
Answer:
a) 9676.1053731 rad/min
b) 1540 rpm
Step-by-step explanation:
A truck with 30-inch diameter wheels is traveling at 70 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) ____ revolutions per minute
truck with 30-in.-diameter wheels is traveling at 70 mi/h.
---------
1 mile per hour = 88 feet per minute
70 mi/hr = 6160ft/minute
----------
Each revolution = pi*d feet = 4pi feet
(b) How many revolutions per minute do the wheels make?
rev/min
-------------
Each revolution = pi*d feet = 4pi feet
rpm = 6160 ft/min / 4pi feet = 990/pi rpm
=~ 1540 rpm
---------------
(a) Find the angular speed of the wheels in rad/min.
rad/min
-------------
rad/min = rpm*2*pi
= 1540 rpm × 2× π
= 9676.1053731 rad/min
The formula for the circumference of a circle is: c = 2πr Solve for the radius, r, by dividing both sides by 2π. What is the formula for the radius of a circle in terms of the circumference? r = 2 pi c r = StartFraction c Over 2 pi EndFraction r = StartFraction pi Over 2 c EndFraction r = StartFraction 2 pi Over c EndFraction
Answer:
B/ r = c divided by 2 pi
Step-by-step explanation:
The formula for radius would be C / 2π
what is Circumference of circle?The circumference of a circle is defined as the linear distance around it.
C=2πr
Given:
c = 2πr
To find the expression for radius we have to follow the steps
c = 2πr
r= c/2π
Hence, the expression for radius is c/2π
Learn more about circumference of circle here:
https://brainly.com/question/15525194
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W
The model represents 100% of the cost of a trip to the
Bahamas
Which model represents the cost of the trip if the trip cost is
discounted 26%?
Answer:
B. 74 / 100
Explanation:
I got it right on the test :)
Which percent is represented by the diagram below? 2 area models with 100 squares. In the first model, 100 squares are shaded. In the second model, 25 squares are shaded and 75 are unshaded. 1.25% 12.5% 125% 1250%
Answer:
125%
Step-by-step explanation:
Answer:
C- 125
on edge
Step-by-step explanation:
Factor and find the zeros. z^2-z+56
Answer:
Sry its long but if your to lazy to look thru it here is the answer= z = {-7, 8}
Step-by-step explanation:
Simplifying
z2 + -1z + -56 = 0
Reorder the terms:
-56 + -1z + z2 = 0
Solving:
-56 + -1z + z2 = 0
Solving for variable 'z'.
Factor a trinomial.
(-7 + -1z)(8 + -1z) = 0
Subproblem 1
Set the factor '(-7 + -1z)' equal to zero and attempt to solve:
Simplifying:
-7 + -1z = 0
Solving:
-7 + -1z = 0
Move all terms containing z to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + -1z = 0 + 7
Combine like terms: -7 + 7 = 0
0 + -1z = 0 + 7
-1z = 0 + 7
Combine like terms: 0 + 7 = 7
-1z = 7
Divide each side by '-1'.
z = -7
Simplifying:
z = -7
Subproblem 2
Set the factor '(8 + -1z)' equal to zero and attempt to solve:
Simplifying:
8 + -1z = 0
Solving:
8 + -1z = 0
Move all terms containing z to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + -1z = 0 + -8
Combine like terms: 8 + -8 = 0
0 + -1z = 0 + -8
-1z = 0 + -8
Combine like terms: 0 + -8 = -8
-1z = -8
Divide each side by '-1'.
z = 8
Simplifying:
z = 8
Solution
z = {-7, 8}
Abdul has bought 30 pounds of dog food. He feeds his dog
2/3 pounds for each meal. For how many meals will the food last?
Answer: I think its 45 days
Step-by-step explanation: hope this helps
There are stars to circle there are 4 stars and 2 circles how much is the ratio
Answer:
2:1
Step-by-step explanation:
The original ratio is 4:2. Divide both sides by 2. Then you get 2:1.
Answer:2 stars for every one circle
Step-by-step explanation:
hope you get what i mean if not sorry my friend
PLS HELP MEEEEEE
Two babysitters have the following price schedules: Susan charges $5 per hour plus a $2 base fee. Sarah charges $7 per hour. Use graphing to find the point where the two
will charge the same amount.
Answer:
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A football team lost 2 yards every 5 minutes. Write the integer that represents how many yards the team lost after 15 minutes
Answer:
6 yards
Step-by-step explanation:
At noon, the minute and the hour hands of a clock overlap. In how long will they again overlap?
its one hour but I don't know the minutes
Its not 5 min
Answer:
Okay. At noon, the hour and minute hand overlap. First, let’s calculate the speed of the hands.
The minute hand rotates once around the clock every hour. It goes 360 degrees in 60 minutes, so it rotates 360/60 or 6 degrees per minute. The hour hand goes once around the clock every 12 hours. Because there are 60 minutes in an hour, it goes 360 degrees 12*60 or 720 minutes. This means it travels at a speed of 360/720 or 0.5 degrees per minute.
Once the clock starts, the minute hand goes ahead and rotates ahead of the hour hand. At 1:00, the minute hand is at 12, and the hour hand is ahead at 1. This is where we will start our calculations.
Now, we have a variable, m, which is the minutes that have passed since the clock started. So, our minute hand speed is 6m, and our hour hand speed is 0.5m. However, because the hour hand is at one, it is at 30 degrees. (360/12 * 1.) This means our equation is 6m = 0.5m+30.
Now, we calculate.
6m = 0.5m+30
5.5m = 30
m = 30/5.5
m = 5.45
So at 5.45 minutes, the minute hand is at the hour hand. However, because one hour has passed since we started, we have to add on one hour.
So, our final total is 1 hour 5 minutes and 27 seconds.
Step-by-step explanation:
simplify this complex fraction 4/3/2/5
Answer:
If the question is (4/3) / (2/5), then the answer is 10/3 or 3 and 1/3
Step-by-step explanation:
What is the sum of -6 and 12/6
Answer:
-4
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
multiply -6 with 6 so we can have common denominator as 12/6
that's gives us -36/6+12/6
-36+12 is -24 so our answer up till now will be -24/6.... this can be simplified by 6 to get -4
pls mark this as brainliest!!!!
Anne’s potato salad recipe requires one pound of potatoes for every four people served. How many pounds of potatoes will Anne need to serve 14 people at her picnic?
Answer:
4 lbs
Step-by-step explanation:
1:4=4:16
16 is bigger than 14
So 4 lbs
evaluate the expression for x = 3 y= 1/3 and z= 5. 12 x - 3y over 4 x - Z
Answer:
35.786
12(3) - 3(1/2)/4(3) - 5
This is then further simplified to:
36 - 1.5/7
And when you divide 1.5 by 7, the number (rounded) is .214.
Thus, subtract, and gain the final answer of 35.786.
Hope this helps!
Step-by-step explanation:
Can you please mark me brainliest
Hey there!
12x - 3y / 4x - z
= 12(3) - 3(1/3) / 4(3) - 5
= 36 - 1 / 12 - 5
= 35 / 7
= 5
Therefore, your answer is: 5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A large container for water weighs 21 pounds. If a gallon of water weighs 8.34 pounds, what is an equation that relates the weight of the water and the container, W, in pounds and the amount of water, A, in gallons?
Answer: W= 8.34A
Step-by-step explanation:
Given: Weight of a gallon of water = 8.34 pounds
Then, weight of the water in container = (Weight of a gallon of water ) x (amount of water)
If A = amount of water (in gallons)
W = weight of the water in container ( in pounds)
i.e. [tex]W= 8.34A[/tex]
Hence, the required equation : W= 8.34A
Help please! I’ll give brainliest if correct!
Answer:
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation. As the formula shows, the z-score is simply the raw score minus the population mean, divided by the population standard deviation.
Step-by-step explanation:
Hope his helps!
5 people are sharing 12 kilograms of apples. How many kilograms of apples should each person get?
Answer:
2.4 kilograms
Step-by-step explanation:
5 people=12 kilograms
1 person= 12 divided by 5
Therefore, 1 person=2.4 kilograms
if the graph of an exponential function is increasing is the domain always all real numbers
Answer:
D) The domain of the function is all real numbers
Step-by-step explanation:
What are the solutions of the quadratic equation? 2 x^2 – 16 x + 32 = 0
Answer:
X=4,4
Step-by-step explanation:
2 x^2 – 16 x + 32 = 0
2(x^2-8x+16)=0
X^2-(4+4)X+16=0
x^2-4x-4x+16=0
x(x-4)-4(x-4)=0
(x-4)(x-4)=0
X=4,4
So the solution is X=4,4
PLS Help! SHOW WORK ON IT
Answer:
Perimeter of Triangle ABC is 21
Step-by-step explanation:
According to the Midpoint Theorem, if the line segment adjoins midpoints of any of the sides of a triangle, then the line segment is said to be parallel to all the remaining sides, and it measures about half of the remaining sides.
In this case, since XY=7, then AZ+ZC will need to equal 14 as that's opposite of half. Since AZ=ZC given that they are congruent, then AZ=7. Therefore the perimeter is XA+XZ+AZ=5+9+7=21
Find a solution to dydx=xy+6x+4y+24dydx=xy+6x+4y+24. If necessary, use kk to denote an arbitrary constant
Answer:
f(x, y) = yx²/2 + 3x² + 4yx + 24x + K
Step-by-step explanation:
Given the expression dy/dx=xy+6x+4y+24
To find the solution, we are to make y the subject of the formula as shown
dy = (xy+6x+4y+24)dx
∫dy =∫(xy+6x+4y+24)dx
y = ∫(xy+6x+4y+24)dx
We are to integrate the function with respect to x keeping y constant. Since all constant are brought out if integral sign we will have;
y = ∫(xy)dx + ∫(6x)dx + ∫(4y)dx + ∫24dx
y = y∫xdx + 6∫xdx + 4y∫dx + 24∫dx
Integrate;
y = yx²/2 + 6x²/2 + 4yx + 24x + K
y = yx²/2 + 3x² + 4yx + 24x + K
Hence the solution to the differential expression is;
f(x, y) = yx²/2 + 3x² + 4yx + 24x + K
Where K is the constant of integration.
I need help on this one.
Answer: 1/3
Step-by-step explanation: