Answer:
y = -3/2x + 9/2Step-by-step explanation:
first let's convert the equation to y=2/3x+5
since the line is perpendicular we know that m=-3/2=1.5. now we just need to plug these numbers into an equation.
3=(-1.5)1+b
multiply.
3=-1.5+b
now add 1.5 to both sides of the equation.
4.5=b
change that into a fraction.
9/2.
now using 9/2 as b and -3/2 as m we have our equation:
y = -3/2x + 9/2.!!!need help please !!!
Answer:
Step-by-step explanation:
log(3) = 0.477
log(8.2) = 0.913
log(0.04) = -1.397
3.15 Linear Equations and Inequalities (SHOW YOUR WORK)
1.) Use the linear graph to answer the question.
A.) Identify the quadrant in which each point lies.
Point A:_____
Point B:_____
Answer:
A- Quadrant one.
B- Quadrant three.
Step-by-step explanation:
So, the quadrants go counter-clockwise, starting at the top right which is Quadrant one. Therefore, A is in one. Using that information, we can assume that B is in Quadrant three.
The Great Laxey Wheel, located on the Isle of Man, is the largest working water wheel in the world. The highest point of a bucket on the wheel is 70.5 feet above the viewing platform, and the lowest point is 2 feet below the viewing platform. The wheel makes a complete turn every 24 seconds. Write a model for the height h (in feet) of the bucket as a function of time t (in seconds) given that the bucket is at its lowest point when t
Answer:
h(t)=-36.25cos(0.2618t)+34.25
Step-by-step explanation:
We can start by drawing a sketch of what the whaterwheel's height over time looks like. (See attached picture.)
We can see on the graph that at t=0, the bucket will be located at its lowest point. So in this case we can make use of a cosine function. Cosine functions look like this:
[tex]y=Acos(\omega t + \phi)+b[/tex]
where:
A=amplitude
[tex]\omega[/tex] = angular speed
[tex]\phi[/tex]=phase shift
b= vertical shift.
So let's find each of the necessary data:
The amplitude is the distance between the highest point of the trajectory and the middle point of the sine wave, so:
[tex]A=\frac{highest-lowest}{2}[/tex]
[tex]A=\frac{70.5ft-(-2ft)}{2}[/tex]
A=36.25 ft
since the trajectory starts at its lowest point when t=0 we will make the amplitude a negative amplitude, so:
A=-36.25ft
Next, we can find the angular speed:
[tex]\omega = \frac{2\pi}{T}[/tex]
Where T is the period (the time it takes the wheel to make one whole turn) so:
[tex]\omega=\frac{2\pi}{24}[/tex]
[tex]\omega=0.2618 rad/s[/tex]
the phase shift in this case is zero since the graph starts at the lowest point.
the vertical shift is the distance between the x-axis and the middle point of the graph. So we find the midpoint between the lowest and the highest point of the graph:
[tex]b=\frac{highest+lowest}{2}[/tex]
[tex]b=\frac{70.5ft-2ft}{2}[/tex]
b=34.25ft
so we can now input all this data into the formula to get:
[tex]h(t)=-36.25cos(0.2618 t)+34.25[/tex]
Box 5:
Box 6:
Box 7:
Boz 8:
5 2/5 x 10 PLEASE HELP
Answer:
54
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
The table contains some points on the graph of an exponential function.
Based on the table, which function represents the same relationship?
A. Y = 10(4)x B. y = 10(2)x C. y = 40(10)x D. y = 2(40)x
Answer:
B. y = 10(2)^x
Step-by-step explanation:
y = ab^x
to find "b" divide the function at x = 3 by the function at x = 2
80 = ab^3
——————
40 = ab^2
This results in
2 = b
to find "a" plug pickany value of x
using x = 2
40 = a(2²)
40 = a(4)
a = 10
With a = 10 and b = 2 the exponential function y = ab^x is
y = 10(2)^x
Please help I’m not good with this at all!!
how do we compare the absolute values of -99 and 1? *
Answer:
The first one
Step-by-step explanation:
The absolute value of a negative number is the same number but positive if that makes sense. ( ex absolute value of -5 is 5 )
The absolute value of a positive number is literally that number ( ex. absolute value of 6 is 6 )
Thus, the absolute value of 1 is 1 and the absolute value of -99 is 99
99 is greater than 1 which means that the absolute value of -99 is greater than the absolute value of 1
Thus, the answer is the first one
If 36 ÷ 9 = 4, which numbers could be placed in the blanks in the order shown to create a corresponding multiplication fact? _____ × _____ = _____
A) 4, 9, 36
B) 4, 36, 9
C) 9, 36, 4
D) 36, 9, 4
Answer:
a. 4×9=36
glad to help!!
Step-by-step explanation:
A marble is randomly selected from a bag containing 3 red marbles, 3 blue marbles, and 3 green marbles. what is the probability that the selected marble is green?
Answer:
1/3
Step-by-step explanation:
3x3= 9
Make 3/9 a fraction and simplify it and it would give you 1/3
WILL MARK YOU BRAINLIEST ASAP
Answer:
(-0.5, -1)
Step-by-step explanation:
To find the midpoint add the coordinates then divide by 2
x = (2 + -1)/2
x = 1/2 = 0.5
y = (3 + -5)/2
y = -1
(-0.5, -1)
Answer:
(-0.5, -1)
Step-by-step explanation:
pleaseee helppp mee :/
Answer:
vertical,47
Step-by-step explanation:
they are not right next to each other they are across so that is vertical and vertical angles are equal so the second option is correct
Answer:
Vertical; 47
Step-by-step explanation:
The two angles are vertical since they are opposite to each other. Vertical angles are equal therefore, x equals 47° as well.
Help pleasee asappp sorry
Answer:
A
Step-by-step explanation:
Factor 5x^2 + 16x – 16
Answer:
(x + 4)(5x - 4)
Step-by-step explanation:
[tex]5x^2 + 16x – 16 \\ = 5x^2 + 20x - 4x– 16 \\ = 5x(x + 4) - 4(x + 4) \\ = (x + 4)(5x - 4)[/tex]
Answer:
(5x - 4) • (x + 4)
Step-by-step explanation:
Multiply the coefficient of the first term by the constant 5 • -16 = -80
Find two factors of -80 whose sum equals the coefficient of the middle term, which is 16 .
Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 20
5x2 - 4x + 20x - 16
Add up the first 2 terms, pulling out like factors :
x • (5x-4)
Add up the last 2 terms, pulling out common factors :
4 • (5x-4)
Add up the four terms of step 4 :
(x+4) • (5x-4)
Which is the desired factorization
At a school assembly four out of the first 10 students were wearing spirit wear. Based on this information, if 500 students were at the assembly, then how many students could be expected to be wearing spirit wear?
Answer:
200
Step-by-step explanation:
Answer:
200 I believe
Step-by-step explanation:
I made four out of ten a fraction 4/10 then I multiplied 10 by 50 and 4 by 50 and got 200/50 so it would be simplified. I'm sorry if it doesn't make sense
Rewrite the expression 1/x^2/3 in the form x^n
Step-by-step explanation:
Rewrite the expression 1/x^2/3 in the form x^nRewrite the expression 1/x^2/3 in the form x^n
An expression is defined as a set of numbers, variables, and mathematical operations. The given expression can be written in the form of xⁿ as x⁻⁰°⁶⁶.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression [tex]\dfrac{1}{x^{\frac23}}[/tex] can be written in the form of xⁿ using the exponential property 1/x=x⁻¹. Therefore, the expression can be rewritten as,
[tex]\dfrac{1}{x^{\frac23}}\\\\= x^{-\frac23}[/tex]
= x⁻⁰°⁶⁶
Hence, the given expression can be written in the form of xⁿ as x⁻⁰°⁶⁶.
Learn more about Expression here:
https://brainly.com/question/13947055
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please help me
no links please and thank you :)
can somebody find the area? help please
Answer:
1246 cm²
Step-by-step explanation:
34 · 39 = 1326 cm²
10 · 8 = 80 cm²
1326 cm² - 80 cm²
1246 cm²
Help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz 10 points
[tex]\large\boxed{\tt Answer:~2\pi ~or~around~6.283~units}[/tex]
[tex]\tt Step-by-step~explanation:[/tex]
The equation for finding the circumference of a circle:
If the radius of this circle is 1, then that means the diameter is 2. We multiply 2 by π to get our answer: 2π or approximately 6.283.
A group of New York City residents are surveyed. They are asked if they are going to watch the New York City Marathon in person. Of the people surveyed, 68 men and 45 women will watch the marathon, while 100 men and 192 women will not watch the marathon. Place each joint and marginal relative frequency in the correct location in the two-way table.
Answer:3
Step-by-step explanation:
Which is the graph of the system of equations?
x + 2y = 2
4x - y=4
plz help
Answer / Explaination:
First convert each equation into the standard y = mx + b form by solving:
y = -0.5x + 1
y = 4x - 4
Now look at the graphs to see which represents lines of both equations, in this case it is the last one (D).
you have 3/5 of oatmeal in your cupboard. a recipe for cookies calls for 1/4 cups of oatmeal how much oatmeal would you have left if you make the cookies?
Answer:
7/20
Step-by-step explanation:
Lowest common denominator
3/5 turns into 12/20.
1/4 turns into 5/20
12 - 5 = 7
please help no links please!’n
Answer:
85.2
ggggggggggggggggggg
hey really need help asap
solve for x
Answer:
60 multiply 7
Step-by-step explanation:
420
A goat is tethered to a rope that is 10 ft. long. In terms of Tt, what is the maximum area the goat can graze? A) 10pi; ft? B) 25 ft2 C) 5 Ont ft2 D) 100Tt ft2
Answer: D trust me it is 100
Step-by-step explanation:
The maximum area the goat can graze is 100Tt ft2, the correct option is D.
Given
A goat is tethered to a rope that is 10 ft. long.
Area of the circleThe area of the circle is equal to the pie times of the square of the radius of the circle.
The maximum area that the goat can graze in the area of the circle that can be formed due to its circular movement.
The length of the rope represents the radius of the circle, so that;
[tex]\rm Area \ the \ goat \ can \ graze =r^2 \times Tt\\\\ Area \ the \ goat \ can \ graze =(10)2 \times Tt\\\\Area \ the \ goat \ can \ graze =100 \ Tt\\[/tex]
Hence, the maximum area the goat can graze is 100Tt ft2.
To know more about the area of the circle click the link given below.
https://brainly.com/question/24423062
Find the gradient of the line segment between the points (-4,4) and (0,12).
Answer:
2
Step-by-step explanation:
the gradient = (12-4)/(0+4)=8/4=2
Answer:
gradient = 2
Step-by-step explanation:
Calculate the gradient m using the gradient formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 4) and (x₂, y₂ ) = (0, 12)
m = [tex]\frac{12-4}{0+4}[/tex] = [tex]\frac{8}{4}[/tex] = 2
Find the median, mean, and range.
14, 1, 16, 6, 15, 2
Answer:
Median: 10
Mean: 9
Range: 15
Step-by-step explanation:
Have a good day :)
I need help!!! Like right now
What are three academic challenges yall 7th graders face?
Answer:
I'm not in 7th grade but 7th grade was not the year for me lol
Step-by-step explanation:
sh. it was wild XD
Answer:
not in 7th grade
Step-by-step explanation:
but teachers gotta help out students a little more dude
Forty nine minus twenty five b squared in factored form
Step-by-step explanation:
Hoping this will help you on your journey through brainly!
what is a communitative property
Answer:
In math, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it.
Step-by-step explanation:
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Step-by-step explanation:
The communitative property is a math rule that says that the order in which we multiply numbers does not change the product.