An equation of the line that passes through the point (6, 0) and had a slope of -5/6 is y = -5x/6 + 5.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y are the points.Given the following parameters:
Point (x, y) = (6, 0)Slope = -5/6Substituting the given parameters into the point-slope formula, the equation of the line is given by;
y - y₁ = m(x - x₁)
y - 0 = -5/6(x - 6)
y = -5x/6 + 5
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Fifteen disks with the given measurements are stacked on top of each other. Which expression does NOT give the volume of the cylinder that is formed?
Missing information:
[tex]r = 3cm[/tex]
[tex]h = 1cm[/tex]
Options:
(a) [tex]\pi * 3^2 * 15[/tex] (b) [tex]\pi * 3* 15^2[/tex]
(c) 15 times the volume of the disk
(d) The height of the stack multiplied by [tex]\pi r^2[/tex]
Answer:
(b) [tex]\pi * 3* 15^2[/tex]
Step-by-step explanation:
Given
15 identical disks
[tex]r = 3cm[/tex]
[tex]h = 1cm[/tex]
Required
Determine the odd option
The volume of 1 disk is:
[tex]V_1 = \pi r^2h[/tex]
[tex]V_1 = \pi * 3^2 * 1[/tex]
The volume of 15 is:
[tex]V_{15} = 15 * V_1[/tex]
[tex]V_{15} = 15 * \pi * 3^2 * 1[/tex]
[tex]V_{15} = \pi * 3^2 * 15[/tex]
The above equation represents (a), (c) and (d)
Because:
(a): [tex]V_{15} = \pi * 3^2 * 15[/tex]
(c) 15 * volume of the disk: [tex]V_{15} = 15 * V_1[/tex] = [tex]V_{15} = \pi * 3^2 * 15[/tex]
(d) height * [tex]\pi r^2[/tex] = h * [tex]\pi r^2[/tex] = [tex]15 * \pi * 3^2 * 1[/tex] = [tex]V_{15} = \pi * 3^2 * 15[/tex]
Hence, (b) is the odd option
The frequency, f, in Hz, at which a simple pendulum rocks back and forth is given by 1 , 2 g f π l = where g is the strength of the gravitational field at the location of the pendulum, and l is the length of the pendulum. a. Find the frequency of a pendulum whose length is 1 foot and where the gravitational field is approximately 32 ft/s2 b. The strength of the gravitational field on the moon is about 1 6 as strong as on Earth. Find the frequency of the same pendulum on the moon.
Answer:
a. 0.9 Hz b. 0.37 Hz
Step-by-step explanation:
The frequency of the simple pendulum f = (1/2π)√g/l where g = acceleration due to gravity and l = length of pendulum
a. Find the frequency of a pendulum whose length is 1 foot and where the gravitational field is approximately 32 ft/s2
To find f on Earth, g = 32 ft/s² and l = 1 ft
So, f = (1/2π)√(g/l)
f = (1/2π)√(32 ft/s²/1 ft)
f = (1/2π)√(32/s²)
f = (1/2π)(5.66 Hz)
f = 0.9 Hz
b. The strength of the gravitational field on the moon is about 1/6 as strong as on Earth.. Find the frequency of the same pendulum on the moon.
On the moon when acceleration due to gravity g' = g/6,
f = (1/2π)√(g'/l)
f = (1/2π)√(g/6l)
f = (1/2π)√[32 ft/s²/(6 × 1 ft)]
f = (1/2π)√(32/s²)/√6
f = (1/2π)(5.66 Hz)/√6
f = 0.9/√6 Hz
f = 0.37 Hz
What additional information would you need to prove
Answer:
A
Step-by-step explanation:
We use the Hypotenuse Leg Theorem
When we know the hypotenuse and a leg of a triangle.
We know The Hypotenuse (TO) so we need to know A leg of the triangle which the only leg is TM and OR.
Rodrigo practiced playing the guitar 15 1/3 hours over the past 3 weeks. He practiced for 5 1/4 hours during the first week and 5 2/3 hours during the second week.
Answer:
[tex]4 \frac{5}{12}[/tex]
Step-by-step explanation:
The computation of the number of hours practiced on the third week is given below:
= Total hours over the past 3 weeks - first week - second week
[tex]= 15 \frac{1}{3} - 5 \frac{1}{4} -5 \frac{2}{3}\\\\= \frac{46}{3} - \frac{21}{4} - \frac{17}{3}\\\\= \frac{184 - 63 - 68}{12} \\\\= \frac{53}{12}\\\\= 4 \frac{5}{12}[/tex]
Answer: is is correct
Step-by-step explanation:
help, look at picure
Answer:
x=3
Step-by-step explanation:
61/4=15 1/4
5(3)=15+(1/4)=15 1/4
√32+√42 ÷ √8 +√12 simplify
Note: It should be 48 instead of 42 because √42 cannot be simplified.
Given:
Consider the given expression is
[tex]\dfrac{\sqrt{32}+\sqrt{48}}{\sqrt{8}+\sqrt{12}}[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]\dfrac{\sqrt{32}+\sqrt{48}}{\sqrt{8}+\sqrt{12}}[/tex]
It can be written as
[tex]=\dfrac{\sqrt{16\times 2}+\sqrt{16\times 3}}{\sqrt{4\times 2}+\sqrt{4\times 3}}[/tex]
[tex]=\dfrac{4\sqrt{2}+4\sqrt{3}}{2\sqrt{2}+2\sqrt{3}}[/tex]
[tex]=\dfrac{4(\sqrt{2}+\sqrt{3})}{2(\sqrt{2}+\sqrt{3})}[/tex]
[tex]=\dfrac{4}{2}[/tex]
[tex]=2[/tex]
Therefore, the simplified form of the given expression is 2.
so it said to pick which statement is true about the measurements of angles ABC. so I said B, can someone check if this is correct please
Answer:
Its c.
Step-by-step explanation:
Because B is the smallest point on that picture.
BrainliesT?
Answer:
your answer is correct
Step-by-step explanation:
have A great day
(1x)/(2)=12
PLEASE SHOW THE WORK!!!
Answer:24
Step-by-step explanation:
simplify 1 * x to x
x/2=12
multiply both sides by 2
x=12 * 2
simplify 12 * 2 to24
x=24
Paisley invests money in an account paying a simple interest of 8.9% per year. If she invests $80 and no money will be added or removed from the investment, how much will she have in one year, in dollars and cents?
it will be removed
Step-by-step explanation:
which one of the following is NOT a polynomial option 1. x^2-2x+3 option 2. 11x-9. option 3. 3/y
Answer:
option 3
Step-by-step explanation:
2. The weather forecast calls for 12 cm of snow. How many inches
can you expect?
4. You have a 1.5 gal jug. How many litres will it hold?
5. Joe is travelling in the United States. A road sign indicates he is
228 mi from his destination. How many kilometres is Joe from
his destination?
Answer:
2. 1 inch
4. 5.68 liters(if we estimate)
5. 366.96 kilometers
Step-by-step explanation:
2. centimeters to inches
4. gallons to liters
5. miles to kilometers
Twelve students share 3 pizzas equally. What fraction of a pizza does each student
get?
Answer: 4/12
Step-by-step explanation: 4 over 12
Linear Equations & Linear Systems:Question 5
What is the solution to the following system of equations?
Somebody pls help me
Find the missing side of each right triangle. Side c is the hypotenuse. Sides a and b are the legs. Leave your answers in simplest radical form.
A=11m,C=15m
Find b with writing it out like the picture above.
Answer:
Side b = 10.2 m (1 d.p.)
Step-by-step explanation:
11² = 121
15² = 225
225 - 121 = 104
√104 = 10.2 (1 d.p.)
Side b = 10.2m
(Full answer = 10.198039)
11² + 10.2² = 15²
Helppppppppppppppppp
Answer:
The answer will be 24
Step-by-step explanation:
Hope this Helped
Answer:
24
Step-by-step explanation:
find the unknown Angles in the given figure
Answer:
x = 50°, y = 50°
Step-by-step explanation:
⇒ x + x + 80° = 180°
⇒ 2x = 180° - 80° = 100°
⇒ x = 100°/2 = 50° ∴ y = x = 50°
What is the Value of X
What is the Length of JM?
Answer:
JM = 17
x = 12
Step-by-step explanation:
The given triangles are similar with ASA rule if so then x + 5 must be equal to 2x - 7
x + 5 = 2x - 7 and 5 + 7 = 2x - x
12 = x
The length of JM
2x - 7 can be written as 2×12 - 7 = 17
SMART PPL HELP HELP PLEAse
Answer:
help with what
Step-by-step explanation:
Answer:
did you mean to post a question?
Step-by-step explanation:
Yep here we go again :
In the diagram below lines HA and BC are parallel. If angle GEC = 135 what is angle HDF?
If you don't know the question, or not sure, please don't answer it!
Whoever answers it right gets brainliest.
Step-by-step explanation:
Angle HDF is also 135 degrees as well. Alternate exterior angles are congruent.
At a store closing, a universal discount rate is applied to all items. If the original price of an item was $27.00 and the price
after the discount is $16.20, what is the discount rate at the store?
Answer:
Step-by-step explanation:
Your answer
40% discount
Mark it as Brainlist. Follow me for more answer.
SOMEONE PLEASE HELP ME AND ANSWER THIS QUESTION CORRECTLY I WILL MAKE YOU THE BRAINLIEST, GIVE YOU A GOOD RATE, PLEASE ASWER THIS ASAPPPPPPPPP!!!!!!!!!!! I NEED HELP ASAPPPPPPPPPPP!!!!!!!!!! ALSO PLEASE SHOW YOUR WORK ASAPPPPPPP!!!!!!!!!!!!
Answer:
tbh that doesnt make sense the easiest way to et the first one is to do 955 divided by 90.
Step-by-step explanation:
Answer the photo below thanks
Answer: rotation
Step-by-step explanation:
Solve for x
X=4
3/2x+8=-1
Donna paid $3 to rent shoes and then $1 for each game she played at a bowling alley. She spent a total of $8 at the bowling alley.
Which equation can be used to find the number of games Donna played?
Answer:If shoes are for all games in row, P = 2 + 3 g If not, P = 5 g ,with g the number of games
Explanation: The price depends:if shoes are included for the whole games, you just have to pay them once and then you have to pay
g g a m e s , so P ( g ) = 2 + 3 g Else, you have to pay g s h o e s and g b o w l p a r t y ,so
P ( g ) = 2g + 3 g⇔ P ( g ) = 5 g
Hope this helped hope you get a good score on your assignment/test/quiz/homework-Tay did this
Brandon buys a radio for $43.75 in a state where the sales tax is 7%.
Part 1 out of 2
How much does he pay in taxes? If necessary, round to the nearest cent
Answer:
Tax: $3.06
Step-by-step explanation:
7% of 43.75 = 0.07 × 43.75 = 3.0625
43.75 increase 7% =
43.75 × (1 + 7%) = 43.75 × (1 + 0.07) = 46.8125
Radio: $43.75
Tax: $3.06
Total: $46.81
the figure it made of a square and right triangles. Find the area
PLZ help me
Answer:
720 inches squared
Step-by-step explanation:
for the square:
a = 24 x 24 = 576 inches squared
for the triangle:
36-24 =
a = 12 x 24 / 2
= 144 inches squared
576 + 144 = 720 inches squared
Answer:
720 inches squared
Step-by-step explanation:
i took test
Are the two expressions in the equation 2b + 5 + 1b = 3b + 5 equal or equivalent? How do you know?
Answer:
they are equal because while solving 2b+5+1b it will come 3b+5 so they are equal
Answer:
the equation are equivalent
Step-by-step explanation:
to know why, look at the pic above
4
1
(12−8×)=
3
2
(6×)
creo que es 32 por la cultura
What is the correct vocabulary term for a number variable product or quotient in an expression
Three pounds of flour are divided into 6 containers so that each container holds the same number of pounds of flour
Answer:
0.5 pounds per container.
Step-by-step explanation:
just divide 3 pound by 6 containers so it would be 3/6 which is equal to 1/2 which is the same as 0.5
There each container holds a number of pounds of flour which would be 0.5 pounds.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
If three pounds of flour are divided into 6 containers so that each container holds the same number of pounds of flour, we can find out how many pounds of flour each container holds by dividing the total amount of flour by the number of containers.
We can use the following equation to find out how many pounds of flour each container holds:
pounds of flour per container = total pounds of flour / number of containers
So, using this equation:
pounds of flour per container = 3 / 6
Apply the division operation, and we get
pounds of flour per container = 0.5
Each container holds 0.5 pounds of flour.
To learn more about the division operation click here :
brainly.com/question/25870256
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