Answer: Equation using slope intercept from y= -(5/2)x +26
Step-by-step explanation:
Write an equation of the line (in slope-intercept form) that is perpendicular to the line y=(2/5)x-(1/5) and contains the point (-4,16).
The line given is y=(2/5)x-(1/5)
Which we can rewrite in y= mx+b form as
y=(2/5)x-(1/5)
So slope of this line is (2/5)
A line perpendicular will have slope = -(5/2) , Which is (1/m)
Equation of new line will be
y = -(5/2)x +b
Now we need to find b
Plug in Point (-4,16)
Replace with the (-4,16) values
16 = (5/2) (-4) +b
solve it, 16=(-10)+b
16+10=b
b=26
Equation using slope intercept from y= -(5/2)x +26
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Under her cell phone plan, Nayeli pays a flat cost of $41.50 per month and $5 per gigabyte. She wants to keep her bill under $50 per month. Write and solve an inequality which can be used to determine g, the number of gigabytes Nayeli can use while staying within her budget.
The inequality which can be used to determine the number of gigabytes is 41.5 + 5x < 50 and the solution is x < 1.7
How to write and solve an equation which can be used to determine the number of gigabytes?The given parameters are
Flat cost = $41.50
Rate = $5 per gigabyte
Budget = Under $50
The equation is represented as:
Total cost = Flat cost + Rate * Number of gigabyte
So, we have
y = 41.5 + 5x
The budget is under 50
So, we have
41.5 + 5x < 50
Subtract 41.5 from both sides
5x < 8.5
Divide by 5
x < 1.7
Hence. the inequality which can be used to determine the number of gigabytes is 41.5 + 5x < 50 and the solution is x < 1.7
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a3 = 125 solve (Type integers or simplified fractions.)
Answer:
41.666 =~41.67
Step-by-step explanation:
3a=125
a=125÷3
a=41.67
Answer:
41.667
Step-by-step explanation:
3a=125
a= 125/3
a=41.667
1. Yu Yan competes in a sprint triathlon. The race consists of three parts: a 0.5-mile swim, a
12.4-mile bike ride, and a 3.1-mile run.
a. Yu Yan completes the swim portion of the sprint triathlon in 25 minutes. What is her average
swimming speed in miles per minute?
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Who is correct? (−3, 6), (−2, 4), (−3, −1), (−1, −6), (−4, −5), (−2, −7), (−5, −9), (−8, −9), (−12, −3), (2, 4), (3, 2) and (4, 1).
Regarding the quadrants, we have that:
Leila is correct, as most y-coordinates are also negative, meaning that most points are in quadrant 3.
What are the signals of the coordinates in each quadrant?There are four quadrants of points (x,y), and their signals are given as follows:
Quadrant 1: x > 0, y > 0.Quadrant 2: x < 0, y > 0.Quadrant 3: x < 0, y < 0.Quadrant 4: x > 0, y < 0.For this problem, we have that Leila is correct, as most y-coordinates are also negative, meaning that most points are in quadrant 3.
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A researcher reports t(22) = 5.30, p < .01 for an independent-measures experiment. how many individuals participated in the entire experiment?
For the entire independent-measures experiment 24 individuals are participated.
What do you mean by independent-measures experiment?Different participants are utilized in each condition of the independent variable in an experimental design known as an independent measures design, or between-groups. This indicates that a different group of participants is present for each condition of the experiment. A research strategy known as an independent measures design uses numerous experimental groups with subjects only being assigned to one group. Throughout the experiment, each participant is solely exposed to one independent variable condition. A drug trial for a novel medicine would serve as an example. This has the benefit of preventing order effects, which occur when participants behave differently as a result of the order in which conditions are done, often as a result of factors like boredom or exhaustion.
We are given the value t(22) = 5.30, p < .01
So here degree of freedom (df) is 22 and it is independent so there is two samples,
so df= n₁+n₂-2
⇒ 22 = n₁+n₂-2
⇒ n₁+n₂ = 24.
Thus for the entire experiment 24 individuals are participated.
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Find the area of the parallelogram with the given vertices. k(1, 1, 3), l(1, 3, 5), m(6, 9, 5), n(6, 7, 3).
The area of the parallelogram is [tex]\sqrt{132}[/tex].
What is a parallelogram?A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. Sum of all the interior angles equals 360 degrees.
Given that,
vertices k(1, 1, 3), l(1, 3, 5), m(6, 9, 5), and n(6, 7, 3)
Area of Parallelogram = |KL × KN|
KL = (1, 1, 3) - (1, 3, 5) = (0, 2, 2)
KN = (1, 2, 3) - (3, 7, 3) = (2, 5, 0)
Area of the parallelogram = cross product of two vectors, represented by the adjacent sides.
Area of Parallelogram = |(0, 2, 2) × (2, 5, 0)|
= |i(2 × 0 - 5 × 2) - j(0 × 0 - 2 × 2) + k(0 × 5 - 2 × 2)|
= |i(-10) - j(-4) + k(-4)|
= |-10i + 4j - 4k|
= [tex]\sqrt{(-10)^{2}+(4)^{2}+(-4)^{2} }[/tex]
= [tex]\sqrt{100+16+16}[/tex]
= [tex]\sqrt{132}[/tex]
Hence, The area of the parallelogram is [tex]\sqrt{132}[/tex].
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18 x 4/3 please help me. ☕
Answer:
24
Step-by-step explanation:
18/3 = 6
6*4 = 24
hi
18 = 6*3
so 18* 4/3 = 6*3*4 /3 = 24
How can you find 40% of 150 using mental math? Explain.
Answer:
60
Step-by-step explanation:
rid of precentage and zeros, multiply the numbers you have left.
Factor.
1. 9a²-18a
2. 16a³b³ +32a¹b
3. x2+x^ + xử
4. 3x5 + 4x4 - 5x²
5. 2x³-X
Please Help
The below mentioned are the factors of given equations
Factorization:
In mathematics, factorization or factoring is the method of expressing a quantity or another numerical component as a product of many factors, typically small or easier components of the same kind.
In the case of integers, ancient Greek mathematicians were the first to consider factorization. They demonstrated the fundamental theorem of arithmetic, which states that any positive integer can be taken account into a prime number product , which cannot be factored into integers greater than 1. Furthermore, this factorization is unique until the order of the factors is changed.
1)[tex]9a^{2}-18a=9a(a-2)[/tex]
2)[tex]16a^{3}b^{3} +32ab=16ab((ab)^{2} +2)[/tex]
3) inappropriate question
4)[tex]3x^{5} +4x^{4} -5x^{2} =x^{2} (3x^{3} +4x^{2} -5)[/tex]
5)[tex]2x^{3} -x=2(x-1)(x+1)[/tex]
Therefore,The above mentioned are the factors of the given questions.
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anyone mind helping a girl out???
Hi!
Let's solve the equation for x!
[tex]\mid\bold{x-1\mid+5=2}[/tex]
Step 1:
Subtract 5 from both sides.[tex]\bold{\mid x-1\mid=-3}[/tex]
Now it's a little easier to solve! :')
Now, What does | | mean ?
Remember, It means "absolute value", and it's Always a positive number.
And this statement states: "take the absolute value of x-1, Whatever that happens to be, And it'll equal -3".
But that's impossible!
Therefore, this equation has no solutions.
I hope I helped you, have a wonderful day!
Good luck.- stargazing [tex]\tiny\pmb{0.2}[/tex]
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{|x - 1| + 5 = 2}[/tex]
[tex]\large\text{Add }\rm{-5}\large\text{ to both sides: }[/tex]
[tex]\mathsf{|x - 1| + 5 - 5 = 2 - 5}[/tex]
[tex]\large\text{Simplify it:}[/tex]
[tex]\mathsf{|x - 1| = 2 - 5}[/tex]
[tex]\mathsf{|x - 1| = -3}[/tex]
[tex]\large\text{Since, the absolute value is SMALLER than 0, we have no solutions}[/tex]
[tex]\huge\boxed{\text{Answer: }\mathsf{No\ solutions}}[/tex][tex]\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
A school has 1000 students. of these, 3/4 are boys. how many of the students are boys? how many of the students are girls?
Answer:
750 students are boys, 250 are girls.
Step-by-step explanation:
1/4 of 1000 is 250.
250 + 250 + 250 = 750 boys.
if 3/4 are boys, then 1/4 (the rest of the school population) are girls.
150 students are girls.
Please I need help it’s due tomorrow
In the year 2000, a company made $2.2 million in profit. for each consecutive year
after that, their profit increased by 13%. how much would the company's profit be in
the year 2003, to the nearest tenth of a million dollars?
The company's profit in the year 2003 is $3.1 million
Profit is defined as the amount of revenue generated after deduction of all the liabilities.
Given that in the year 2000 profit = $2.2 million
Each year increase in profit = 13% =0.13
Total number of year = 2003-2000=3 years
Profit is denoted by
[tex]profit=initial profit(1+each.year.increase)^{years}[/tex]
Substituting the values we get
profit=[tex]2.2(1+0.13)^3[/tex]
=[tex]2.2(1.13)^3=2.2*1.442897[/tex]
=3.174373
=3.1 million
Therefor , the company's profit in the year 2003 is $3.1 million
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convert 574 inches to yards foot and inches
Answer:
Firstly, you need to divide by 36! That'll tells you how many yards there are. Then, divide the remainder by 12! That'll tells you how many feet are there. The final remainder tells you the number of inches!
ten more than the quotient of c and three
The algebraic expression is,
⇒ 10 + c/3 = 12
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
''ten more than the quotient of c and three is 12.''
Now, We can formulate;
⇒ ten more than the quotient of c and three is 12
⇒ 10 + c/3 = 12
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Complete question is this,
Ten more than the quotient of c and three is 12.
Someone pls help with this !! Tyyy
Answer:
a , b , e , f
Step-by-step explanation:
6x-4≤-28
Is this value part x=-10;
One of the solutions to the following linear inequality is the value x=-10.
What are linear inequalities?
Expressions that compare two linear expressions using inequality symbols are referred to as linear inequalities. It's important to remember that if p < q, then p must be a number that is strictly less than q. If p ≤ q, then p is a number that is strictly smaller than q or exactly equal to q. The same is true for the other two inequality signs > (greater than) and ≥ (greater than or equal to).
What guidelines apply for resolving linear inequalities?
Addition Rule of Linear Inequalities:Given equation: 6x-4≤-28
Add 4 to both sides according to the addition rule:
(6x+4)+4 ≤ (−28)+4
6x-4+4≤ -24
6x≤-24
Now, divide both sides by 6 according to the division rule:
6x/6 ≤−24/6
x ≤ -4
Therefore, x ≤ -4 is the solution for the given linear inequality where, x ∈ (-∞,-4)
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I would like to know how to find the percentage number of these increased numbers if that makes any sense at all
I will use the example that they gave to describe the method
First, you need to find the difference between the new amount and the original amount. The new one is 30, while the original one is 24, so the original amount incrased by 6.
Now, you take the difference that you got, and divide it by the original amount. 6 : 24 = 1/4, or 25%. So, the percentage increase is 25%
Applying the same for the others :
32 -> 56 (increased by 24, 24:32 = 3/4 -> 75%)
15 -> 18 (increased by 3, 3:15 = 1/5 -> 20%)
30 -> 33 (increased by 3, 3:30 = 1/10 -> 10%)
150 -> 153 (increased by 3, 3:150 = 1/50 -> 2%)
120 -> 126 (increased by 6, 6:120 = 1/20 -> 5%)
200 -> 202 (increased by 2, 2:200 = 1/100 -> 1%)
|x+4|<9
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Given m(x) = |2x - 91, find x when m(x) = 15.
The value modulus functions of x are found as 12 and -3.
What is defined as the modulus functions?A modulus function returns the magnitude of a number regardless of its sign.
It's also known as the absolute value function. The modulus function, signified by |x| in mathematics, gives the modulus of a real number x. It returns a non-negative value for x. The modulus or absolute value of the a number is often recognized as the number's distance from the origin or zero.The modulus function's value is always non-negative. Whenever f(x) is a modulus function, we get:
For x is positive, then f(x) = xFor x = 0, then f(x) = 0For x < 0, then f(x) = -xfor the given function;
m(x) = |2x - 9|, where m(x) = 15.
then,
15 = |2x - 9|
Open the modulus function in its corresponding positive and negative values;
15 = 2x -9 and also 15 = -(2x - 9).
Solving both;
15 = 2x -9
2x = 15 + 9
2x = 24
x = 12
and, the second functions;
15 = -(2x - 9)
15 = -2x + 9
-2x = 15 - 9
x = -3
Thus, the solution for x are 12 and -3.
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The correct question is-
Given m(x) = |2x - 9|, find x when m(x) = 15.
17k to 19.04k increase. What is the percent increase?
Need Answered ASAP
Answer:
4 %
Step-by-step explanation:
1. Find the length of the indicated side.
Helpp i dont know what to do after finding the angle (39) pls explain
Using Trigonometric ratios, we can conclude the length of the indicated side is 12.70m.
It can be solved using Trigonometric ratios and Pythagoras theorem
Firstly using Trigonometric ratios
Using Sinθ,
Sinθ = perpendicular / hypotenuse(h)
Sin 39 = 8 / h
0.63 = 8 / h
h = 8 / 0.63
h = 12.70
∴ The length of indicated side is 12.70m
Secondly, using Pythagoras theorem,
(hypotenuse)² = (Altitude)² + (Base)²
⇒ (H)² = 8² + 10²
⇒ (H)² = 64 + 100
⇒ (H)² = 164
⇒ H = √164
⇒ H = 12.80
∴ The length of indicated side is 12.80m
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7/10 divided by -2/7
Answer:
1/20
Step-by-step explanation:
hope this helps
Answer:
49/20
Step-by-step explanation:
Bye! ~ SunnyBunny <3
a farmer has feet of fenced area available to enclose a rectangular area bordering a river. if no fencing is required along the river, find the dimensions of the fenced area that will maximize the area. what is the maximum area?
The dimensions of the fence that will maximize the area are-
Length = 1350 ftWidth = 675 ftMaximum area = 911250 sq. ftWhat is rectangular area?Multiply the width by the height of a rectangle to find its area. If we know the lengths of two sides of a rectangle, we can calculate the height and width.
Now, as per the question;
Let 'L' be the length and,
'W' width of the rectangular
Also, let the river is running along L.
Perimeter to be covered by fence:
P = L + 2W
2700 = L + 2W
Thus, L= 2700 - 2W
Substitute the value of L in the area
Area, A= LW
A = (2700 - 2W)W
A = 2700W - 2W²
This is a quadratic equation;
Now, the vertex of the rectangular with the greatest area will have the greatest width.
(W,A), where W= -b/2a where b = 2700 and a = -2
Solve for W,
W = -2700/2×(-2)
= -2700/-4
W = 675 ft.
Substitute the value of W in L to find it.
L= 2700 - 2W
= 2700 - 2×675
L = 1350 ft
Thus, the maximum area will become;
Maximum area A = 1350 × 675
Maximum area A = 911250 sq. ft
Therefore, the maximum area is found to be 911250 sq. ft
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The complete question is-
A farmer has 2700 feet of fencing available to enclose a rectangular area bordering a river. if no fencing is required along the river, find the dimensions of the fence that will maximize the area. what is the maximum area
7/8 of a can of drink is water, the rest is syrup. What is the ratio of water to syrup?
Answer:
7 : 1.
Step-by-step explanation:
1 - 7/8 = 1/8 is syrup.
So, water to syrup
= 7/8 : 1/8
= 7 :1.
The ratio of water to syrup is 7:1
What is a ratio?The quantitative relation between two amounts showing the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"
Given here, 7/8 of a can of drink is water, the rest is syrup thus the fraction for syrup is 1/8 of the can. Therefore the ratio of water and syrup is
7/8:1/8=7:1
Hence, The ratio of water to syrup is 7:1
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A road construction company can repair 1/8 mile of road each day. Road X is 5 1/2 miles long, and Road Y is 8 3/4 miles long. How many more days will Road Y take to repair than Road X
Use 1/8*(whatever amount of days until fractions match)
it will take road x 44 days to repair (1/8*44)
road y will take 70 days to repair (1/8*70)
it will take road y 26 days longer to repair
If f (x) = 3x - 1 and g (x) = x²+1, find the following.
a) f(-1) + g (4) =
b) g(2) - g (-3) =
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Select 3 collinear points.
r
A
B
D
s
N
C
Find the Inverse Function : Algebra 2
y = 2x² + 1
[tex]\displaystyle\\Answer:\ y=\sqrt{\frac{x-1}{2} } \ \ \ \ (x\geq 1,\ \ \ \ y\geq 0)[/tex]
Step-by-step explanation:
[tex]y=2x^2+1\\[/tex]
We change the argument and the value:
[tex]\displaystyle\\x=2y^2+1\\\\x-1=2y^2+1-1\\\\x-1=2y^2\\[/tex]
Divide both parts of the equation by 2:
[tex]\displaystyle\\\frac{x-1}{2}=y^2\\\\ \sqrt{\frac{x-1}{2} }=y \ -\ the\ desired\ inverse\ function\\\\[/tex]
The restrictions are imposed on the inverse function by on x:
[tex]x-1\geq 0\\x\geq 1[/tex]
The restrictions are imposed on the inverse function by on y:
[tex]y\geq 0[/tex]
Then the original function is defined on the sets:
[tex]x\geq 1,\ \ \ \ y\geq 0[/tex]
The initial function, a parabola, is constrained because of the inverse function; only in this case the functions are reciprocal.
Opposite sides are congruent.
Diagonals are perpendicular.
Exactly one pair of opposite angles are
congruent.
Diagonals are congruent.
Diagonals bisect opposite interior angles.
Consecutive interior angles are
supplementary.
Answer:
Diagonals linse
Step-by-step explanation:
