Answer:
B
Step-by-step explanation:
1 and 2 thirds gallons per minute
What is the general form of the equation of a circle with center at (a, b) and radius of length m? A. x2 + y2 − 2ax − 2by + (a2 + b2 − m2) = 0 B. x2 + y2 + 2ax + 2by + (a2 + b2 − m2) = 0 C. x2 + y2 − 2ax − 2by + (a + b − m2) = 0 D. x2 + y2 + 2ax + 2by + a2 + b2 = -m2
Answer:
A
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (a, b) and r = m , thus
(x - a)² + (y - b)² = m² ← in standard form
Expand the factors using FOIL and rearrange
x² - 2ax + a² + y² - 2by + b² = m² ( subtract m² from both sides )
x² + y² - 2ax - 2by + (a² + b² - m² ) = 0 ← in general form → A
Answer:
It's option A for plato
Step-by-step explanation:
A. x^2 + y^2 − 2ax − 2by + (a^2 + b^2 − m^2) = 0
What is the measure of each interior angle of a
regular 15-gon?
Answer:
156
Step-by-step explanation:
1) The formula for finding the sum of interior angles of an n-gon is 180(n-2)
2) Plug in 15 for n
180(15-2)
3) Solve
180(15-2)
180(13)
2340
4) There are 15 angles in a 15-gon
5) Divide sum of interior angles by number of interior angles
2340/15 = 156
6) So, the answer is 156 degrees
Complete the statements about series A and B. Series A: 10+4+ 8/5 + 16/25 + 32/125 + ... Series B: 1/5+ 3/5 + 9/5 + 27/5 + 81/5 + ... Series ____ has an r value of ___ where 0 < |r| < 1 . So, we can find the sum of the series. The sum of the series is ___.
Answer:
Series "A" has an r value of "2/5" where 0 < |r| < 1 . So, we can find the sum of the series. The sum of the series is "50/3".
Step-by-step explanation:
To find the r (rate) of each series, we can divide one term by the term before:
Series A: 4 / 10 = 2/5
Series B: (3/5) / (1/5) = 3
So the series A has an r value between 0 and 1, so we can find the sum of the series.
The sum is given by the formula:
Sum = a1 / (1 - r)
Where a1 is the first term. So we have that:
Sum = 10 / (1 - (2/5))
Sum = 10 / (3/5)
Sum = 10 * (5/3) = 50/3
Answer:
Series "A" has an r value of "2/5" where 0 < |r| < 1 . So, we can find the sum of the series. The sum of the series is "50/3".
IT'S URGENT, Help Me ASAP! PLEASEEEE
1) Write two linear inequalities
2) Draw and shade the graph
3) List two possible combinations of halls that can be rented for the workshops.
Answer:
1)
40x + 70y ≤ 280 (red on the graph)
100x + 120y ≤ 1200 (blue on the graph)
2) see attachment
3) x=5, y=1
40*5 + 70*1 ≤ 280. 270 ≤280
x=3, y=2
40*3 + 70*2≤280, 260 ≤ 280
Kat is painting the edge of a triangular stage prop with reflective orange paint. The lengths of the edges of the triangle are (3x – 4) feet, (x2 – 1) feet, and (2x2 – 15) feet. What is the perimeter of the triangle if x = 4?
Answer:
40 feet
Step-by-step explanation:
Since x=4
3x-4=3(4)-4=12-4=8 feet
x^2-1=4^2-1=16-1=15 feet
2x^2-15=2(4)^2-15=2(16)-15=32-15=17 feet
Perimeter=8+15+17=40 feet
Which of the following is a quadratic function?
1. f(x) = 0x^2 + 3x - 6
2. f(x) = 3 - 4x^2
3. f(x) = 2^x
4. f(x) = 2x + 5
the function of quadratic is number4
I'm just so lost...
Help!
Answer:
Step-by-step explanation:
Which statement is true about the coordinates (3 , 2)?
Answer:
you cant answer it you have no choice to pick cuz you didnt put dem
Step-by-step explanation:
what is x2 + y2 + 4x - 14y + 37 = in standard form
Steps:
Since there are no like terms. We have to convert the number that is x2 + y2 + 4x - 14y + 37 into standard form. The correct answer will be NaN X 10°
So that is in a standard form.
Answer: NaN X 10
Please mark brainliest
Hope this helps.
in need of help, PLEASEEEE AND THANK YOUUUUUUUUUU <3
Answer:
y = 3/2x - 4
Step-by-step explanation:
Slope-intercept form is y = mx + b
When we count rise over run, we get 3/2
y = 3/2x + b
The line intersects the y-axis at -4
y = 3/2x - 4
I hope this helps :))
On a coordinate plane, a line goes through (negative 2, 1) and (0, negative 5) and another line goes through (0, negative 1) and (1, 0). Which of the following statements are true of the graphed system of equations? Check all that apply. The system has infinitely many solutions. A solution to the system is (–1, –2). A solution to the system is (0, –1). One of the equations is y = x –1. One of the equations is 3x + y = –5.
Answer:
A solution to the system is (–1, –2).
One of the equations is y = x –1.
One of the equations is 3x + y = –5.
Step-by-step explanation:
Just took the assignment
Answer:
2, 4, and 5
Step-by-step explanation:
Got it right
Please answer correctly !!!!!!!!! Will mark brainliest answer !!!!!!!!!!!!
Answer:
I think that C) and D)
Step-by-step explanation:
I think this because if you look at 3.5 secounds it came down and after 1.75 secounds the ball hit the ground. A) wouldn't be because it came down at 3.5 secounds not coming up. B) wouldn't be because the ball droped after 1.75 secounds not come up.
Two fewer than a number doubled is the same as the number decreased by 38. Find the number. If n is "the number," which equation could be used to solve for the number? 2 n - 2 = n - 38 2( n - 2) = n + 38 2( n - 2) = n - 38
Answer:
Step-by-step explanation:
2(n-2) = n-38
1. Steven delivers 56 newspapers every day of the week except Sunday. How
many papers does he deliver in all?
Ans:
Answer: 336 papers
Step-by-step explanation:
A week except Sunday = 6 days
56 newspapers * 6 days = 336 newspapers in all
Answer:
336
Step-by-step explanation:
Given That:
Days : 7 - 1 = 6
Number of papers per day : 56
SO,
all papers: 56 x 6 = 336
Hope this helps.
A chemical is studying the properties of a gas under various conditions. He observes that when the gas is at room temperature and low pressure, it behaves as an ideal gas. When the gas is cooled to 10 kelvin and is placed under high pressure, however, it deviates significantly from an ideal gas.
Answer;
Explanation:
CHECK THE COMPLETE QUESTION BELOW:
chemist is studying the properties of a gas under various conditions. He observes that when the gas is at room temperature and low pressure, it behaves as an ideal gas. When the gas is cooled to 10 kelvin and is placed under high pressure, however, it deviates significantly from an ideal gas. Explain these observations.
ideal gas reffered to as one that has the collisions between its atoms or molecules perfectly eleastic and in which there are no intermolecular attractive forces existing between them. The ideal gas concept is important because it obeys the ideal gas law.
Which is PV=nRT
Where P is the pressure
T is the Temperature
V is the Volume
R is ideal gas constant
n is amount of substance
The ideal gas model assumes that gas particles experience no intermolecular attractions. These are the behavior of gases under different condition
✓At low temperature, gas particles move slowly.
-✓At high pressures, gas particles are very close together.
✓ When the particles of gases are close they have low speed and their low speed allow intermolecular forces to become important at high pressure and low temperature.
OBSERVATION S:
At room temperature which is comfortable ambient temperature, generally taken as about 20°C to 25C
Gases behave non ideally at cold temperatures, So when the gas is cooled to 10Kelvin, molecules are moving relatively slowly past one another, then they give room for the repulsive and/or attractive forces between their molecules giving room for deviation from an Ideal Gas.
The intermolecular forces cause the gas to deviate from ideal behavior So, the reason why a gas deviate from ideal behaviour may be due to some two assumptions of kinetic theory of gases. The forces of attraction between gas molecules are negligible. When the gas is placed under high pressure the gas molecules get more crowded and the amount of empty space between the molecules is reduced.
--
Answer:
Ideal gas explains the property of gas that has no inter-molecular attractions irrespective of temperature and pressure.
Explanation:
Ideal gases assumes that the gases would experience no inter-molecular attraction and collision with other gases.
These gases are perfectly exhibiting elastic collision in nature.
The particle of gases moves slowly at lower temperature and the gases would become close when they exhibit high pressure.
The "closeness of the gas-particle" and "low-speed characteristics" are the important observations noted.
The inter-molecular forces deviate the property of gases from ideal gas behavior.
Step-by-step explanation:
£750 is divided between Bridget, Caroline & Sarah so that Bridget gets twice as much as Caroline, and Caroline gets three times as much as Sarah. How much does Caroline get?
Answer: £225
Step-by-step explanation:
Amount shared = £750
Let Sarah's share = y
Therefore,
Caroline's share = 3y
Bridget's share = 2(3y) = 6y
Mathematically,
y + 3y + 6y = £750
10y = £750
y = £750/10
y = £75
Caroline's share = 3y
Caroline's share = 3 × £75 = £225
Caroline's share is £225
Pls help me w this question
Answer:
The answer is (3, 18)
Step-by-step explanation:
This is because if you go to 3 on the x axis and up to 18 on the y axis, you have a point there.
*I WILL MARK YOU BRAINLIEST!!!!!!*
Answer:
A. is the correct answer
Step-by-step explanation:
the answer is 27
Answer:
A. 25
Step-by-step explanation:
f(x)= 8x - 7
f(4)= 8*4 - 7= 25
f(4)= 25
Find the values of the six trigonometric functions for angle θ, when AC = 26 and BC = 24.
Answer:
See below
Step-by-step explanation:
The first step is to find the length of AB. By the Pythagorean Theorem:
[tex]AB=\sqrt{26^2-24^2}=\sqrt{676-576}=\sqrt{100}=10[/tex]
Now, you can proceed:
[tex]\sin \theta= \dfrac{24}{26}=\dfrac{12}{13} \\\\\\\cos \theta= \dfrac{10}{26}=\dfrac{5}{13} \\\\\\\tan \theta= \dfrac{24}{10}=\dfrac{12}{5} \\\\\\\csc \theta= \dfrac{13}{12} \\\\\\\sec \theta=\dfrac{13}{5} \\\\\\\cot \theta=\dfrac{5}{12}[/tex]
convert the angle =100 degrees to radians
Answer:
1.75 rad
Step-by-step explanation:
° × π/180 = rad
100° × π=314.16
314.16/180=1.75 rad
zero has _________ reciprocal
Answer:
No
Step-by-step explanation:
No real number when multiplied with zero makes one.
Answer:
Zero has no reciprocal
Step-by-step explanation:
The reciprocal of a number is what you get when you flip the numerator and the denominator of a number. For instance, with the number 5, it can be rewritten as 5/1. The reciprocal of this would therefore be 1/5. For 0, it can also be rewritten as 0/1. However, if you take the reciprocal of this, you get 1/0, which is undefined. Therefore, zero has no reciprocal. Hope this helps!
Describe fully the single transformation that maps triangle a onto triangle b
Answer:
reflection y=x
Step-by-step explanation:
The single transformation that maps triangle a onto triangle b is the reflection of y=x.
What is single transformation?This is known to be the mix up or the combination of transformations that is said to be seen as one transformation.
Note that in the image attached, when reflection of y axis is said to be cast on the x - axis, one can see that triangle a can be maps onto triangle b and thus:
The single transformation that maps triangle a onto triangle b is the reflection of y=x.
Learn more about reflection from
https://brainly.com/question/1908648
#SPJ9
Please help! Correct answer only!
Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.
If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?
Write your answer as a decimal rounded to four decimal places.
Answer:
The probability that exactly 11 of the chosen clay objects are vases
P(X = 11 ) = 0.16472
Step-by-step explanation:
Step(i):-
Given students created 19 clay objects, 12 of which were vases
probability of successes
[tex]p = \frac{x}{n} = \frac{12}{19} = 0.6315[/tex]
q = 1 - p = 1 - 0.6315 = 0.3685
Step(ii):-
Given n = 16
Let 'X' be the random variable in binomial distribution
[tex]P(X = r) = n _{C_{r} } p^{r} q^{n-r}[/tex]
The probability that exactly 11 of the chosen clay objects are vases
[tex]P(X = 11) = 16 _{C_{11} } (0.6315)^{11} (0.3585)^{16-11}[/tex]
we will use formula
[tex]n_{C_{r} } = \frac{n!}{(n-r)!r!}[/tex]
[tex]n_{C_{r} } =n_{C_{n-r} }[/tex]
[tex]16_{C_{11} } =16_{C_{16-11} }= 16_{C_{5} } = \frac{16 X 15 X 14 X 13 X 12}{5 X 4 X 3 X 2 X 1} = 4368[/tex]
[tex]P(X = 11) = 4368 (0.006369)(0.005921)[/tex]
P(X = 11 ) = 0.16472
Conclusion:-
The probability that exactly 11 of the chosen clay objects are vases
P(X = 11 ) = 0.16472
Could someone please explain to me how to solve this problem? Thanks! :)
Answer:
First of all since they are dividing subtract the powers of the base from each other .
Make sure the bases are the same.
((6^7-6)(3^3-4))³
((6)(3^-1))³
(6³)(3^-3)
216 × 1/27
= 8
That's option d.
Hope this helps.
Find the circumference of this circle:
7 cm
Write appropriate units with your answer, and round your answer to 2 decimal places.
Ruth bought metal rods that are each 3.8 centimeters long. If Ruth lines up 7 of them end-to-end, how long will the line be?
Answer:
26.6 CmStep-by-step explanation:
This is easy, just multiply 3.8 by 7.
3.8 x 7 = 26.6
I'm always happy to help :)
A line passes through (−1, 7) and (2, 10) what is the equation of the line?
Answer:
−x+y=8
there you go!
Hope it helps!
You and your bestfriend are both on the swim team. You want to beat your bestfriend at the next swim meet so you decide to swim 15 minutes longer than she does on day at practice write an equation for the number of minutes you swim,y, when you bestfriend swims x number of minutes
Answer:
y = x + 15
Step-by-step explanation:
You swim 15 minutes more than a friend.The friend swims x minutes.
The amount of time you swim is 15 more than x.
Your time is y
Therefore y = x + 15 would be the equation.
a solid consists of cylinder surmounted by a right circular cone. The height of the cone is 2h. If the volume of the solid is 3 times the volume of the cone then what is the height of the cylinder. Plsss help fast
Answer:
height of cylinder = 4/3 h
Step-by-step explanation:
The solid has a cylinder surmounted with a cone .Therefore, the volume of the solid is the sum of the cone and the cylinder.
volume of the solid = volume of cylinder + volume of cone
volume of the solid = πr²h + 1/3πr²h
let
height of the cylinder = H
recall
the height of the cone = 2h
volume of the solid = πr²h + 1/3πr²h
3(1/3πr²2h) = πr²H + 1/3πr²2h
2πr²h = πr²H + 2/3 πr²h
πr²(2h) = πr²(H + 2/3 h)
divide both sides by πr²
2h = H + 2/3 h
2h - 2/3h = H
H = 6h - 2h/3
H = 4/3 h
height of cylinder = 4/3 h
You calculated the standard deviation of the sample mean differences to be .69. You also calculated the sample mean difference to ge 1.74. Now you'll determine whether the difference is significant
Answer:
Since [tex]|Z| = 2.52 > 2[/tex], the difference is significant.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If |Z| > 2, the measure X is significent.
In this question:
[tex]|X - \mu = 1.74|, \sigma = 0.69[/tex]
So
[tex]Z = \frac{1.74}{0.69} = 2.52[/tex]
Since [tex]|Z| = 2.52 > 2[/tex], the difference is significant.
