Answer:
1st option
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 )
here m = - [tex]\frac{4}{5}[/tex] , then
y = - [tex]\frac{4}{5}[/tex] x + c
to find c substitute (5, 1 ) into the equation
1 = - 4 + c ⇒ c = 1 + 4 = 5
y = - [tex]\frac{4}{5}[/tex] x + 5 ( multiply through by 5 to clear the fraction )
5y = - 4x + 25 ( add 4x to both sides )
4x + 5y = 25 ← in standard form
I need to a paint a spherical storage tank in the pool. it has a radius of 8 feet and the paint cans i brought will cover 75 square feet of the surface area. how many cans of paint will i have to buy?
======================================================
Explanation:
SA = surface area of the sphere
SA = 4*pi*r^2
SA = 4*pi*8^2
SA = 804.247719
The surface area is roughly 804.247719 sq ft.
I used the calculator's stored version of pi to get the most accuracy possible.
Since 1 paint can covers 75 sq ft, divide that surface area over 75 to find out how many cans you need.
804.247719/75 = 10.72330292
Round up to the nearest integer to get 11
You'll have leftover paint, but it's better to go over the goal than come up short.
What are the measures of center for a data set?
Mean, Median, and Mode
Mean - Add all the numbers then divide by the number of numbers you added.
Median - The center of a set of numbers. (In a, b, c, d - b+c/2 is the median.)
Mode - The number that appears the most in a set of numbers.
They are called measures of center because they are statistics that describe the center of a set of data.
Taylor's family took a road trip to Mount Rushmore. Taylor slept through the last 21% of the trip. If Taylor fell asleep after they had travelled 711 miles, what was the total length of the trip?
The total length of the trip is the number of miles in the trip
The total length of the trip is 974 miles
How to determine the total length?The given parameters are:
Proportion of sleep = 21%Distance awake = 711 milesIf Taylor sleeps for 21% of the trip, then Taylor was awake for 79% of the trip
Represent the total length of the trip with T.
So, we have:
73% * T = 711 miles
Divide both sides by 73%
T = 974 miles
Hence, the total length of the trip is 974 miles
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what are factors of the expression [tex]x^{2}[/tex]+x 20?
Answer:
Step-by-step explanation:
answer: (x-4)(x+5)
x^2 + x - 20
x^2 + 5x -4x -20
x^2 + 5x - 4x - 20
x(x+5) -4 (x+5)
x(x+5)-4(x+5)
(x-4)(x+5)
I need help desperately lol
Answer:
Step-by-step explanation:
First find the shaded area. Ignore the fact that something is missing.
L = 16
w = 8
Area = L*w Substitute the givens
Area = 16*8
Area = 128
Now consider the white area. It has a "length" of 4 and a width of 8
L = 4
w = 8
Area = 32
Now subtract 32 from 128
Area of shaded part = 128 - 32
Answer: 96 mm^2
State the domain and range and determine if it's a function?
if we do a vertical line test on that graph, we'll find that a vertical line will pass by and hit the line only once on its way down, only once meaning the graph is the graph of a function.
Rangewell, is really how high and low it goes or namely over the y-axis.
well, it goes up up up to 3 then U-turns and back down it goes, now the graph has arrowheads, meaning the graph keeps on going towards infinity, vertically as well as horizontally since it's a parabola, so the range will be
[3 , +∞)Domainwell, is simply how left and right it goes or namely over the x-axis.
judging from the arrowheads it moves from infinity to infinity, so
(-∞ , +∞).What should be completed first when simplifying 2(x − 3) + 6(4x + 1)?
Combine like terms.
Subtract x − 3.
Distribute the 2 to the x − 3 and the 6 to the 4x + 1.
None of these choices are correct.
Answer:
Distribute the 2 to the z-3 and the 6 to the 4x+1
Step-by-step explanation:
I'm not sure why it says none of the choices are correct. According to the distributive property, which is followed in any similar algebraic equation. You distribute values first and then combine like terms and go on from there. Hope this helps.
HELPPPPPPPPPPPPPPPPPPPPPP
Answer:
(-3,8)
step by step explanation:
y=-4/3 +4
x=-3
put in x value in first Problem
y=-4/3(-3) +4
solve
y= 12/3+4
y=4+4
y=8
we already know what x is so
x= -3, y=8
(-3,8)
hope this helps
Work out m and c for the line:
y=6 - 2
Answer:
Step-by-step explanation:
y=Mx+c
M=6 c=-2
Complete the table below. Show all your work.
4 pts
Find the perimeter of each polygon. Assume that lines which appear tangent
are tangent.
13.8
5.8
5.5
Answer:
25.1
Step-by-step explanation:
for perimeter you just add them all together
josh bought 8 items at wholesale price. he sold them all for $20 and made $10 profit. what was the wholesale price of each item?
Answer:
4items
Step-by-step explanation:
bought 8items
p=10%
10\20×8
In the figure below, mR is 66°, and mT is 130°. Note: Figure is not drawn to scale. What is mQ? A. 24° B. 50° C. 64° D. 116°
Answer:
b
Step-by-step explanation:
i just think so correct me if im wrong
Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π3?
The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.
How to determine the instantaneous rate of change of a given functionThe instantaneous rate of change at a given value of [tex]x[/tex] can be found by concept of derivative, which is described below:
[tex]g(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
Where [tex]h[/tex] is the difference rate.
In this question we must find an expression for the instantaneous rate of change of [tex]g[/tex] if [tex]f(x) = \sin x[/tex] and evaluate the resulting expression for [tex]x = \frac{\pi}{3}[/tex]. Then, we have the following procedure below:
[tex]g(x) = \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}[/tex]
[tex]g(x) = \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}[/tex]
[tex]g(x) = \lim_{h \to 0} \frac{\sin h}{h}\cdot \lim_{h \to 0} \cos x[/tex]
[tex]g(x) = \cos x[/tex]
Now we evaluate [tex]g(x)[/tex] for [tex]x = \frac{\pi}{3}[/tex]:
[tex]g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}[/tex]
The instantaneous rate of change of g with respect to x at x = π/3 is 1/2. [tex]\blacksquare[/tex]
To learn more on rates of change, we kindly invite to check this verified question: https://brainly.com/question/11606037
The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.
What is the instantaneous rate of change?The instantaneous rate of change is the change in the rate at a particular instant, and it is the same as the change in the derivative value at a specific point.
The instantaneous rate of change is given by the following formula;
[tex]\rm g(x)=lim_{h\rightarrow 0}\dfrac{f(x+h)-f(x)}{h}[/tex]
The given function is;
[tex]\rm f(x)=sinx[/tex]
The function is also written as;
[tex]\rm g(x)=lim_{h\rightarrow 0}\dfrac{sin(x+h)-sin(x)}{h}\\\\g(x)=lim_{h\rightarrow 0}\dfrac{sinx cosh +cosx sinh-sinx}{h}\\\\g(x)=lim_{h\rightarrow 0}\dfrac{sinh}{h}. \ lim_{h\rightarrow 0} cosx\\\\g(x)=cosx[/tex]
Substitute the value of x in the function
[tex]\rm g(\pi /3)= cos(\pi /3)=1/2\\[/tex]
Hence, the instantaneous rate of change of g with respect to x at x = π/3 is 1/2.
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How many seconds are in 3 minutes?
There are 60 seconds in one minute.
Complete the table.
Answer:
1 min- 60 secs
2 mins- 120 secs
3 mins- 180 secs
Step-by-step explanation:
If one minute equals 60 seconds then you would times 60 seconds by the number of minutes.
1x60=60
2x60=120
3x60=180
If I watched anime for 1 hour a day, every episode being 20 minutes long, and there is 1016 episodes, how meant days would it take to watch the entire anime series?
Answer:
20320 minutes
Step-by-step explanation:
divided the minutes by 24 then get your answer
help help help help help
Answer: 10
Step-by-step explanation:
We can get this is a right triangle with a hypotenuse of c and legs equal to the height and radius.
So, the hypotenuse is c and the legs are 6 and 8.
This means that c=10
Solve each system by graphing. Y=x-4 and y=-x
Check the picture below.
simplify and expand 5(m+2) -3(m-2)
thank you
Answer:
2(m+8)
Step-by-step explanation:
5(m+2) -3(m-2)
= 5m+10-3m+6
= 2m+16
= 2(m+8)
Answer:
2m +16Step-by-step explanation:
[tex]\begin{aligned}& 5(m+2)-3(m-2) \\\\=& 5 m+5 \times 2-(3 m-6) \\\\=& 5 m+10-3 m+6 \\\\=&(5 m-3 m)+(10+6) \\\\=& 2 m+16\end{aligned}[/tex]
Derive the equation of the line that goes through (−3, 1) and (0, −5).
A
y=−2x
B
y=2x−5
C
y= −2x−5
D
y=2x+5
Answer:
C) y = -2x - 5
Step-by-step explanation:
[tex]\sf let \ (x_1,y_1)=(-3,1)\\\\let \ (x_2,y_2)=(0,-5)[/tex]
[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-5-1}{0-(-3)}=-2[/tex]
Point-slope formula: [tex]\sf y-y_1=m(x-x_1)[/tex]
[tex]\sf \implies y-1=-2(x-(-3))[/tex]
[tex]\sf \implies y=-2x-5[/tex]
Slope:-
m=-6/3=-2Equation in point slope form
y-1=-2(x+3)y-1=-2x-6y=-2x-53) A rectangular piece of land measures 780 m by 550 m.
Work out the area of the land in:
a square metres
b hectares.
PLS HELP ASAP PLSSS PLSSS FIRST CORRECT ANSWER GETS BRAINLIEST PLS ANSWER
Answer:
√(23)
Step-by-step explanation:
The Pythagorean Theorem is a² + b² = c²
so...
a = 7
b = 3
7² + 3² = c²
14 + 9 = c²
√(23) = c
PLEASE RATE!! I hope this helps!!
If you have any questions let me know
Explain how you know whether the numbers, 4/16 and 0.25 are equivalent numbers.
Answer:
When you divide 4/16 by 4 it equals 1/4. which is known as 0.25 or 25% of a whole.
Step-by-step explanation:
Need it ASAP PLEASE HELP!!!!
Answer:
25π + 30m which is approx. 108.54m
Step-by-step explanation:
First, we can work out the angle of the middle of the playground. 360 - 60 = 300°
Next, we can find out the arc length of the playground using the formula:
θ/360 × πd → 300/360 × 30π = 25π
Finally, we need to add on the two radii to find the perimeter of the playground: 25π + 15 + 15 = 25π + 30m which is approx. 108.54m
Hope this helps!
x/4+<2/7 I need help i'm stuck
Answer:
X< 7/8
Step-by-step explanation:
X< 2/7×4
X< 2×4/7
X< 7/8
Answer:
[tex]\boxed{\sf{x < -\dfrac{20}{7} }}[/tex]
Step-by-step explanation:
To solve this problem, all you have to do is isolate it on one side of the equation.
x/4+<2/7
First, multiply by 4 from both sides.
x/4*4+4<2/7*4
Solve.
2*4=8
Rewrite the problem down.
x+4<8/7
Then, you subtract by 4 from both sides.
x+4-4<8/7-4
Solve.
x<-20/7
Therefore, the correct answer is x<-20/7.
I hope this helps you! Let me know if my answer is wrong or not.
Is √8 a rational number ?
Answer:
Hence, the square root of 8 is not a rational number. It is an irrational number.
Step-by-step explanation:
according to my math book.. thanks me later
help please A.) runner a
b.) runner b
C.) runner c
Answer:
Runner A is more consistent as all of the dots are close to the line unlike Runner B or C
An orange has a diameter of 3 in. and a grapefruit has a diameter of 4 in. What is the approximate difference in the volume of the two fruits?
A.
5 in.3
B.
7 in.3
C.
19 in.3
D.
29 in.3
The approximate difference of the volume of the two spherical fruits is: C. 19 in.³.
What is the Volume of a Sphere?Volume of sphere = 4/3πr³
The orange and the grapefruit are spherical in shape. Therefore:
Volume of orange = 4/3πr³ = 4/3π(1.5)³ = 14.14 in.³
Volume of grapefruit = 4/3πr³ = 4/3π(2)³ = 33.51 in.³
Difference in volume = 33.51 - 14.14 = 19.37
Therefore, the approximate difference of the volume of the two spherical fruits is: C. 19 in.³.
Learn more about the volume of sphere on:
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Please help I will give brainliest.
Answer:
Multiply the numbers then Add on both sides then simplify
Step-by-step explanation:
answer please i need help with this
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Let's evaluate ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{3 {}^{ - 2} \times {x}^{ - 4} \times {y}^{2} } [/tex]
plug in the values :
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{3 {}^{ - 2} \times {3}^{ - 4} \times { - 1}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{3 {}^{ - 6} {}^{ } {}^{} } [/tex]
[tex]\qquad \sf \dashrightarrow \: {3}^{6} [/tex]
[tex]\qquad \sf \dashrightarrow \:729[/tex]
Therefore, B is the Correct choice ~
・ .━━━━━━━†━━━━━━━━━.・
Answer:
729
Step-by-step explanation:
Given expression:
[tex]\sf \dfrac{1}{3^{-2}x^{-4}y^2}[/tex]
Apply exponent rule [tex]\sf \dfrac{1}{a^{-b}}=a^b[/tex]
[tex]\sf \implies \dfrac{3^2x^4}{y^2}[/tex]
[tex]\sf \implies \dfrac{9x^4}{y^2}[/tex]
Substituting x = 3 and y = -1:
[tex]\sf \implies \dfrac{9(3)^4}{(-1)^2}[/tex]
[tex]\sf \implies \dfrac{9 \cdot 81}1}[/tex]
[tex]\sf \implies 729[/tex]