Answer:
∠ PRQ = 55°
Step-by-step explanation:
The angle subtended at the centre by an arc is twice the angle subtended at the circumference by the same arc, thus
∠ PQR = 0.5 × 110° = 55°
A 3-foot rain barrel is being filled from the runoff of a roof. The barrel has already collected 2.75 feet of water. For
every additional inch of rainfall into the barrel, the level of water in the rain barrel rises by 0.75 inch.
What is the y-intercept of the linear model representing the change in height of water, in inches, based on the
rainfall, in inches?
ssssssssssssssssssssssssssssss
This wasn’t helpfull at all.
Answer:
Yeah
Step-by-step explanation:
Answer:
w h a t
Step-by-step explanation:
Find the equation of the quadratic function with vertex (-2,18) passing through (-5,0)?
Answer:
[tex]y-18=-2(x+2)^2[/tex]
Step-by-step explanation:
Equation of the Quadratic Function
The vertex form of the quadratic function has the following equation:
[tex]y-k=a(x-h)^2[/tex]
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
It's been given the vertex of the parabola as (-2,18):
[tex]y-18=a(x+2)^2[/tex]
Now substitute the point (-5,0) and find the value of a:
[tex]0-18=a(-5+2)^2[/tex]
Operating:
[tex]-18=a(-3)^2[/tex]
[tex]-18=9a[/tex]
Solving for a:
[tex]a = -18 / 9[/tex]
a = -2
Thus, the equation of the quadratic function is:
[tex]\mathbf{y-18=-2(x+2)^2}[/tex]
what is the equation of a line that passes through (-7, 3) and is perpendicular to -5/3x = 1/4y -8
Select all answers that apply
Y = 3/20x + 81/20
Y-3 = 3/20(x+7)
Y-3 = -20/3(x+7)
Y = -20/3x -32
3x -20y = -81
The answer can be anything thing that occurs during solving the problem or is the answer.
Answer:
The 1st, 2nd and 5th options are correct.
Step-by-step explanation:
The equation of a line can be written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
①Rewrite the given equation into the form of y=mx+c to find the gradient.
[tex]- \frac{5}{3} x = \frac{1}{4} y - 8 \\ \frac{1}{4} y = - \frac{5}{3} x + 8 \\ y = - \frac{20}{3} x + 32[/tex]
Thus, the gradient of the given equation is [tex] - \frac{20}{3} [/tex].
② Find gradient of unknown line.
The product of the gradients of perpendicular lines is -1.
Let m be the gradient of the unknown line.
[tex]- \frac{20}{3} m = - 1 \\ m = - 1 \div ( - \frac{20}{3} ) \\ m = - 1 \times ( - \frac{3}{20} ) \\ m = \frac{3}{20} [/tex]
③Substitute the value of m into the equation.
[tex]y = \frac{3}{20} x + c[/tex]
④ Find the value of c by substituting a pair of coordinates.
When x= -7, y= 3,
[tex]3 = \frac{3}{20} ( - 7) + c \\ 3 = - \frac{21}{20} + c \\ c = 3 + \frac{21}{20} \\ c = 4 \frac{1}{20}[/tex]
Thus, the equation of the line is [tex]y = \frac{3}{20} x + 4 \frac{1}{20} [/tex].
Thus, the 4th option is incorrect.
Writing c as an improper fraction,
[tex]y = \frac{3}{20}x + \frac{81}{20} [/tex]
Thus, the 1st option is correct.
-3 from both sides of the equation:
[tex]y - 3 = \frac{3}{20} x + \frac{21}{20} [/tex]
Factorise 3/20 out of the right hand side:
[tex]y - 3 = \frac{3}{20} (x + 7)[/tex]
Thus, the 2nd option is correct.
The 3rd option is incorrect as factorising -20/3 out would leave us with -0.0225 as the coefficient of x.
Let's look at the 5th option.
[tex]y = \frac{3}{20} x + 4 \frac{1}{20} [/tex]
×20 on both sides:
[tex]20y = 3x + 81[/tex]
-20y on both sides:
[tex]3x - 20y + 81 = 0[/tex]
-81 on both sides:
[tex]3x - 20y = - 81[/tex]
Thus, the 5th option is also correct.
What is the slope of the line that contains these points?
x 8 11 14 17
y 36 12 -12 -36
slope:
Answer:
-8
Step-by-step explanation:
Apply slope/gradient formula: (12 - 36)/(11 - 8) = -24/3 = -8
This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), I have already posted the slope formula which you may want to save it for future reference and I'll also post some of my own notes on certain topics and also some tips that may be useful to you :)
Which chemical equation is balanced?
Question 2 options:
CH4 + O2 → H2O + CO2
CH4 + O2 → 2H2O + CO2
6CH4 + O2 → 2H2O + 2CO2
CH4 + 2O2 →2H2O + CO2
help
Step-by-step explanation:
CH4 + 2O2 →2H2O + CO2
the answer
Answer:
The balanced chemical equation of the given reaction are;
b.CH4 + 202-> 2H20 + CO2
Step-by-step explanation:
C=C
H4=2H2
2O2=O2+2O(2O2)
I Think it helps you.
Jade has $100 to spend on shoes and socks.She buys a pair of shoes for $75 and and wants to spend the rest of the money on socks.Each pair of socks costs $3.50. What is the greatest number of pairs of socks that jade can buy
Answer:
21.5
Step-by-step explanation:
Plz help me give 13 point it’s timed helpplz
Answer:
yyyy
Step-by-step explanation:
Please help!
Which shows the greatest common factor of these numbers being 14?
A.
28 = 2 x 2 x 7
63 = 3 x 3 x 7
B.
28 = 2 x 2 x 7
42 = 2 x 3 x 7
C.
42 = 2 x 3 x 7
84 = 2 x 2 x 3 x 7
D.
42 = 2 x 3 x 7
63 = 3 x 3 x 7
Answer:
B. 28 = 2 x 2 x 7
42 = 2 x 3 x 7
Step-by-step explanation:
B is the correct answer. If you look at the list in answer choice B, you will see that each number has a common factor of 2 and 7. When you multiply 2 and 7 together, you get a product of 14.
Answer:
B !
Step-by-step explanation:
Solve for n
8-n-4
PLZ help
Determine if the following graph is a function. Find the
domain and range of the following graph. Write your
answer in inequality form.
Answer:
Yes, it is a function.
The domain is (∞,∞) and the range is (∞,5].
Step-by-step explanation:
A function needs to pass the vertical line test: It can only have one x value and one y value at a time. You simply hold a ruler to your screen and drag it from left to right (or vice versa) and see if the function touches the ruler once. If it touches once at any given point, it's a function!
The domain is (∞,∞) because there is a line on both ends- meaning it stretches infinitely. The range is (∞,5] since it goes down infinitely and stops at y = 5.
Which of the sets of ordered pairs represents a function?
P = {(3, 5), (−1, 5), (4, −6), (2, 9)}
Q = {(7, −2), (5, 9), (−1, 8), (5, −3)}
Answer:
P
Step-by-step explanation:
P tells us that the Domain: 3,-1,4,2 doesn't repeat
Q does repeat its Domain: 7,5,-1,5
Reminder that in order for a line of ordered pairs to be a function the domain number Shouldn't repeat, That doesn't mean that the range cant repeat.
Example: (5,-3), (5,9) Not a function
(-1,-6), (7,-6) Function
Out of the two set given, the set of ordered pairs that represents a function is: P = {(3, 5), (−1, 5), (4, −6), (2, 9)}.
What is a Function?A set of ordered pairs that has one exact y-value assigned to each x-value is considered a function.
In set P, all x-values has exactly one y-value, while in set P, the x-value, 5, has two different y-values, 9 and -3.
Therefore, the set of ordered pairs that represents a function is: set P.
Learn more about a function on:
https://brainly.com/question/10439235
#SPJ2
-30 < x/-4 must be simplified
Answer:
120 > x
Step-by-step explanation:
multiply -4 on both sides, -30 * -4 = 120
since you multiplied by a negative you change the sign
<3
Answer:
X<120
Step-by-step explanation:
Write the equation in slope-intercept form y−6=−2/5(x−10)
Answer: y = -2/5x + 10
Step-by-step explanation:
y − 6 = − 2/5 (x − 10)
do distributive property
y - 6 = -2/5x + 4
add six to both sides
y = -2/5x + 10
boom the answer :v
Malike rented a paddle boat at the park for a fixed charge of $2.50 plus $1.50 per hour. She want to stay out on the water as long as possible. How many hour can be use the boat without spending more than $7.00
Answer:
Malike can use the boat for 3 hours.
Step-by-step explanation:
$2.50 for renting the boat plus $1.50 per hour. 3 hours x $1.50 = $4.50 + the $2.50 = $7 flat
Malike can use the boat for 3 hours without spending more than $7.00
What is inequality?A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.
Now it is given that,
Fixed charge of boat = $2.50
Charge per hour = $1.50
Now let t be the total hours use by Malike.
Total charge in t hour = 1.50t
Total spending on boat = 2.50 + 1.50t
Since. She wants to spend not more than $7.00
⇒ 2.50 + 1.50t ≤ 7
Subtracting 2.5 both the side we get,
1.50t ≤ 7 - 2.5
⇒ 1.50t ≤ 4.5
Dividing both the side by 1.5 we get,
t ≤ 3
this is the total hours she can use the boat without spending more than $7.00
Thus, Malike can use the boat for 3 hours without spending more than $7.00
To learn more about inequality :
https://brainly.com/question/13363104
#SPJ2
If a person who weighs 70 kilograms has a brain that weighs 1.4 kilograms, what percent of the persons body weight is brain
Answer:
the answer would be around 1.5 to two percent
Step-by-step explanation:
what the slope of (-15,9) (-10,3)
Answer:
The formula for slope:
[tex]y2-y1/x2-x1[/tex]
so[tex](3-9)/(-10--15)[/tex]
which is
this:[tex]-6/5[/tex]
so the slope is
this: [tex]-6/5[/tex]
Hope this helps :D
y + 4 = 14(x-12), determine the slope and the y-intercept.
Answer:
Step-by-step explanation:
y + 4 = 14(x - 12)
y + 4 = 14x - 168
y = 14x - 168 - 4
y = 14x - 172
what is the value of this question below when y=2 and z=8
8y-z ? dont answer my shi just for pointsss!!!!
Answer:
8
Step-by-step explanation:
8(2)-8
=16-8
=8
PLS GIVE BRAINLIEST
Answer:
8
Step-by-step explanation:
plug in
8(2) - 8
16-8
8
What is the solution of 3(x-1) - X = 3 + 2(x-3)?
Answer:
3(x-1) -X =3+ 2(x-3)
3x-3 -X = 3+2x-6
2x-3= 2x-3
2x-2x =-3+3
0=0
Can someone please help me with this problem? I don’t understand how to do it..
Answer:
y=x+2
Step-by-step explanation:
y=mx+b
m is slope
b is y intercept
it crosses the y intercept at (0,2) therefore b is 2
rise over run is 1 so slope is 1
fill in
y=1x+2
or y=x+2
you can fill in any (x,y) point into this
Alicia purchased a plant that is 2 inches tall.
She plans to give it to her mother when it is
more than 32 inches tall. If the plant is growing
at a rate of 1.5 inches each week, after
how many full weeks can she give her
mother the plant?
Answer:
20
Step-by-step explanation:
Solve for x. Round your answer to the nearest tenth if necessary.
Step-by-step explanation:
sin90 = sinx
19 17
sin x=0.8947
x=63.47°
Two sides of a triangle are 12 meters and 16 meters. What is the largest the third side can be?
A) 22 meters
B) 24 meters
C) 26 meters
D) 28 meters
Answer:
The largest third side would be 26 meters.
Option B is correct.
Step-by-step explanation:
We are given two sides of triangle 12 meters and 16 meters.
We need to find What is the largest the third side can be?
We know that the length of third side should be less than the sum of two sides of triangle
third side < length of first side + length of second side
third side < 12+16
third side < 28
So, the length of third side should be less than 28
We need to find the largest the length of third side can be: from options 22, 24 and 26. We would not consider 28 because length should be less than 28.
So, the largest third side would be 26 meters.
Option B is correct.
what is the equation of a line in slope intercept form that passes through points (4,3) and (1,-6)
pls help quick : )
Answer:
y = 3x-9give me brainliest please
Step-by-step explanation:
To find the equation of a line that passes through two points, use point-slope form.
[tex]y-y_{1} = m(x-x_{1})[/tex] ...
where [tex](x_{1}, y_{1})[/tex] is the first point, and [tex]m[/tex] is the slope.
Start with the slope (m). To find the slope, you find the change in y over change in x, or [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex].
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] = [tex]\frac{-6-3}{1-4}[/tex] = [tex]\frac{-9}{-3}[/tex] = 3
[tex]m=3[/tex]
Then, put the values into point-slope equation.
[tex]y-y_{1} = m(x-x_{1})[/tex] = [tex]y-3 = 3(x-4)[/tex] = [tex]y-3 = 3x-12[/tex] = [tex]y = 3x-9[/tex]
(6+2i)÷3i solve this problem
Find the solution to the system of the equations shown below: y = -4x + 11
y=1/2x+2
Hello!
[tex]\large\boxed{x = 2}[/tex]
Set the two equations equal to each other to solve:
y = -4x + 11
y = 1/2x + 2
-4x + 11 = 1/2x + 2
Add 4x to both sides:
-4x + 4x + 11 = 1/2x + 2 **Convert 4x into 8/2x***
11 = 9/2x + 2
Subtract 2 from both sides:
11 - 2 = 9/2x + 2 - 2
9 = 9/2x
Divide both sides by 9/2:
9 * (2/9) = 9/2x * (2/9)
x = 2.
simplify (x^2+3)^2-(x^2-1)^2
Answer:
Simplify the expression.
8x² + 8
Answer:
8(x^2 +1)
Step-by-step explanation:
(x^2 + 3)^2 - (x^2 - 1)^2
(x^2 + 3 - (x^2-1)) • (x^2 + 3 + (x^2 - 1))
(x^2 + 3 - x^2 + 1) • (x^2 + 3 + (x^2 - 1)
(3 + 1) • (x^2 + 3 + x^2 - 1)
4(2x^2 + 1)
4 • 2(x^2 + 1)
8(x^2 +1)
The speed of light is 3 x 10^8 meters/second. If the sun is 1.5 X 10^11 meters from earth, how many seconds does it take the sunlight to reach the Earth? (Time = Distance/Speed).
Answer:
Time = 500 seconds or 8.333 minutes
Step-by-step explanation:
Time = Distance/Speed
Speed of light = 3 x 10^8 meters/second
Distance=1.5 X 10^11 meters
Time = 1.5 X 10^11 meters/3 x 10^8 meters/second
We solve using the scientific notation. When 8 is taken to the top it is subtracted from 11 ( the base 10 is the same -- laws of exponents)
Dividing 1.5 by 3 gives 0.5 .
Time = 1.5 X 10^(11- 8) meters/3 meters/second
Time = 0.5 X 10^3 seconds
Time = 500 seconds
Dividng seconds with 60 will give minutes
Time= 500/60 = 8.333 minutes
At Gary's car wash 49 cars can be washed in 4 hours. At this rate, how many cars can be washed in 8 hours?
Answer:
98
Step-by-step explanation:
49 + 49 = 98