Company B charges a $55 initial price plus an extra $0.90 for every mile traveled. For 70 miles, Company A will charge less than Company B.
The occurrence of an unfair and/or uneven distribution of opportunities and resources among the people that make up a society is referred to as inequality. To different individuals and in various settings, the word "inequality" may indicate different things.
$118 in change and unrestricted mileage
B affects the initial $550 and the cost per mile traveled.
Let m stand for the distance covered.
So inequality is
118 < 55 + 0.90 m
= 0.90 m > 118 - 55
= m > 63/0.90
= m > 70
So for 70 miles above company A changed less than company B.
Complete question:
Karen is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices. Company A charges $118 and allows unlimited mileage. Company B has an initial fee of $55 and charges an additional $0.90 for every mile driven. For what mileages will Company A charge less than Company B? Use m for the number of miles driven, and solve your inequality for m.
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Someone, please help me!!!!
a phycologist is interested in determining the proportion of algae samples from a local rivulet that belong to a particular phylum. a simple random sample of 50 alga is obtained and each alga is categorized as either being a cyanobacterium or not. the researcher found that 38 samples were, in fact, cyanobacteria. without relying on any previous knowledge, the researcher wanted to estimate the proportion of algae that were cyanobacteria with a margin of error of at most 0.01 in a 99% confidence interval. how large a sample size would be required?
The required sample size of the given problem with a margin of error of at most 0.01 in a 99% confidence interval is 16590.
What is margin of error?A margin of error is a factual estimation that records for the distinction among genuine and extended brings about an irregular overview test. In less complex terms, the margin of error you to measure the degree of unconventionality in information and exploration results.
According to question:Let p be the population proportion of cyanobacteria.
Given : E = 0.01
Critical value for 99% confidence interval : z = 2.576
If Ian does not want to rely on previous knowledge , then we assume p=0.5 because the largest standard error is at p=0.5.
Now, the required sample size = n
⇒0.5(1 - 0.5)([tex]\frac{2.576}{0.01}[/tex])^2
⇒ 0.25(257.6)^2
⇒ 0.25(66357.76)
⇒ 16589.44 ≈≈ 16590
Thus, the size of sample is 16590.
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find the measure of the interior angles x, (x-24), and 68
Answer:
68, 68, 44
x = 68
x - 24 = 44
Step-by-step explanation:
If you have a shape with three interior angles, it is a triangle. The three angles in a triangle add up to 180. Use this idea to write and solve an equation.
x + (x - 24) + 68 = 180
Combine like terms.
2x + 44 = 180
Subtract 44.
2x = 136
Divide by 2.
x = 68
So we can find x - 24
68 - 24 is 44.
The three angles are 68 (given), 68 (because x = 68), and 44 (because x-24)
The angles are 68, 68, and 44
~Describe the transformation(s) shown:
(H1.01 MC) What is the remainder of 5x³ + 7x +57 over x+2 Show all necessary steps.
The remainder of 5x³ + 7x +57 over x+2 is 3.
What is expression?
In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.
Given expressions are 5x³ + 7x +57 and x+2.
Remainder theorem: According to the remainder theorem, the remainder equals f(a) when a polynomial, p(x), is divided by (x - a).
Assume that P(x) = 5x³ + 7x +57.
Equate x + 2 to zero and find the value of x:
x + 2 = 0
x = -2
Putting x = -2 in the polynomial P(x) = 5x³ + 7x +57:
P(-2) = 5(-2)³ + 7(-2) +57
P(-2) = 5(-8) + 7(-2) +57
P(-2) = -40 - 14 +57
P(-2) = 3
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80 pionts if you help me!!!! and brainlest !!!!
in the GIF TYSM ⇅
Answer:
A:(4,12)
B: In image
C. Yes, it does because it shows that the two lines intersect at the same point.
Step-by-step explanation:
-Hope this helped & Happy Holidays!
let nn be the largest positive integer with the following property: reading from left to right, each pair of consecutive digits of nn forms a perfect square. what are the leftmost three digits of nn?
The leftmost three digits of nn would be 816.
Solution:
The two-digit perfect squares are $16, 25, 36, 49, 64, 81$. We try making a sequence starting with each one:
16 - 64 - 49. This terminates since none of them end in a 9, giving us 1649.2536 - 64 - 49, 3649.4964 - 49, 649.81 - 16 - 64 - 49, 81649.The largest is 81649, so our answer is [816].
The leftmost three digits of nn would be 816.
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Taylor entered a 100 mile bike race. They know they can ride 32 miles in 160 minutes. At this rate, how long will it take them to finish the race? Use any strategy you find helpful.
A cone of radiu 3cm i made from a ector. If the area of the ector i 66cm2 find the volume of the cone
Using the formula of surface area to calculate the height and using the formula for volume , The answer is 24.98 [tex]cm^{3}[/tex] .
What is a cone?A cone is a three-dimensional geometric structure with a smooth transition from a flat base—often but not always circular—to the point at the top, also known as the apex or vertex.
What is the formula to calculate the surface area and volume of cone?The required formula are :
[tex]SA = \pi r (r + \sqrt {h^{2} + r ^ {2}})[/tex] (Surface Area)
[tex]V = \pi r^{2} \frac {h}{3}[/tex] (Volume)
radius = 3 cm
Area= 66 [tex]cm^{2}[/tex]
[tex]SA = \pi r (r + \sqrt {h^{2} + r ^ {2}})[/tex]
h = 2.65 cm
[tex]V = \pi r^{2} \frac {h}{3} = \pi * 3^{2} * \frac {2.65}{3}[/tex]
=24.98 [tex]cm^{3}[/tex]
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2. Find the distance between M(-3, 1) and N(2, 8) on a
coordinate plane.
F 6.1 units
G 6.9 units
H 7.3 units
J 8.6 units
Answer:
D=74
D solution 8.60233
Step-by-step explanation:
factor the following expression using imaginary numbers : 100x^2+1
Hence, the factors of [tex](10x+1)^2=100x^2+1+20x[/tex].
What are the factorization?
Factorisation or factoring is defined as the breaking or decomposition of an entity into a product of another entity, or factors, which when multiplied together give the original number.
Here given expression is
[tex]100x^2+1[/tex]
[tex](10x)^2+(1)^2[/tex]
[tex](10x+1)^2[/tex]
As we know that,
[tex](a+b)^2=a^2+b^2+2ab[/tex]
Here
[tex]a=10x\\b=1[/tex]
So,
[tex](10x+1)^2=(10x)^2+(1)^2+2(10x(1))\\\\(10x+1)^2=(10x)^2+(1)^2+20x\\\\(10x+1)^2=100x^2+1+20x[/tex]
Hence, the factors of [tex](10x+1)^2=100x^2+1+20x[/tex].
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The factors of the expression 100x² + 1 are (10x+i) (10x-i).
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
The given expression is 100x² + 1.
The given expression is a quadratic function.
The standard form of quadratic function:
ax²+bx +c, where a is not equals to zero.
Comparing with the standard form we get,
a = 100, b = 0 and c = 1
Simplifying,
100x² + 1
= 100x² - (-1)
= (10x)² - (-1)
= (10x)² - (i)² ,{i² = -1}
= (10x+i) (10x-i)
Therefore, (10x+i) (10x-i) are the factors.
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using the letters in the word FABRIC, find the number of permutations that can be formed using 2 letters at a time. show your work or explain how you got your answer.
Answer:
B
Step-by-step explanation:
Added an attachment.
Answer:
7.5
Step-by-step explanation:
perimeter = 4 × side
√120 = 4s
s = (√120)/4
A = s²
A = [(√120)/4]²
A = 120/16
A = 7.5
HELPPP PLSSS!!!
agile minds
Answer:
A = 2; B = 3; C = -3
Step-by-step explanation:
The curve goes to negative infinity as x decreases and positive infinity as x increases.
This looks like a 3rd degree polynomial.
f(0) = -3
f(x) = Ax^B + x + C
f(0) = A(0^B) + 0 + C = -3
C = -3
f(x) = Ax^B + x - 3
f(1) = A(1^B) + 1 - 3 = 0
A - 2 = 0
A = 2
f(x) = 2x^B + x - 3
f(1.125) = 2(1.125)^B + 1.125 - 3 = 1
2(1.125)^B + 1.125 - 3 = 1
2(1.125)^B = 2.875
(1.125)^B = 1.4375
log (1.125)^B = log 1.4375
B × log (1.125) = log 1.4375
B = (log 1.4375)/(log 1.125)
B = 3
f(x) = 2x^B + x - 3
Answer: A = 2; B = 3; C = -3
Find x when y = 32, given that x varies inversely as y, and x = 132 when y = 4. 1,056 66 16. 5.
The Variable x varies inversely with y, and x = 132 when y = 4 then the value of x is 16.5 when y = 32.
So, the correct option is option(D).
Inverse variation can be expressed by the formula, xy=k or y=kx
That is, if there is a non-zero constant k such that xy = k or y = kx (x≠0,y≠0), then y varies inversely with x.
We have given that,
x varies inversely with y and we need to find x when y = 4 when x = 132
X varies inversely with y there exist a constant of proportionality say k such that :
=> (x)(y) = k ----(1)
Put the value of x and y in equation (1) to find the value of k
=> (132)(4) = k
Therefore, k = 528 , We get
=> (x)(y) = 528
Now, we find x when y = 32, so plug the value of y in equation (1)
=> (x)(32) = 528
=> x = 528/32
=> x = 16.5
Hence, the value of x is 16.5 when y = 32 .
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Which of these transformations are isometrics?The diagrams are not drawn to scale.
PLEASE HURRY!!!30 Points and brainlest!!!!
Answer: Second Pic, Probably the third.
Step-by-step explanation: little bit of guesswork
Andre and jillian were shopping at the same grocery store for bottles of sports drinks for their kickball teams. Andre bought packs of bottled drinks, plus single bottles. Jillian purchased packs, plus singles. Andre and jillian discovered that they had purchased the same number of bottles. How many bottles were in each of the packs? (all of the packs have the same number of bottles. ).
There is 4 bottles in each of the packs when Andre and Jillian were shopping at the same grocery store for bottles of sports drinks for their kickball teams. Andre bought 3 packs of bottled drinks, plus 11 single bottles. Jillian purchased 5 packs, plus 3 singles. Andre and Jillian discovered that they had purchased the same number of bottles
The bottles in each of the packs can be calculate as follows:
Expressions that indicate the total number of bottles purchased
The formula 3p + 11 can be used to express how many bottles André purchased.
The formula that can be used to express how many bottles Jillian purchased is 5p + 3
Where:
P is the number of bottles in the purchased packs.
Counting how many bottles are in the pack
The expressions of Andre and Jillian would be equal if they each had the same number of bottles.
3p + 11 = 5p + 3
Take the subsequent actions to find the value of p:
Combine related words
5p - 3p = 11 - 3
2p = 8
Subtract 2 from both sides of the equation.
p = 4
Your question is incomplete but most probably your full question was
Andre and Jillian were shopping at the same grocery store for bottles of sports drinks for their kickball teams. Andre bought 3 packs of bottled drinks, plus 11 single bottles. Jillian purchased 5 packs, plus 3 singles. Andre and Jillian discovered that they had purchased the same number of bottles. How many bottles were in each of the packs? (All of the packs have the same number of bottles.)
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Is it possible to write an equation for such a parabola in the form f(x)=(x-a)(x-b).
Yes. Parabola is possible to write an equation in the form f(x) = (x-a)(x-b)
Parabola is a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.
A parabola can be described in the form of a general equation
[tex]y=ax^{2} +bx+c[/tex], with a, b, c is integers.
The form f(x)=(x-a)(x-b) can be made in other forms :
[tex]y=(x-a)(x-b)[/tex]
[tex]y=x^{2} -bx-ax+ab[/tex]
[tex]y=x^{2} -(b+a)x+ab[/tex]
That form of the equation is the same as : [tex]y=ax^{2} +bx+c[/tex]
With :
a = 1
b = -(b+a)
c = ac
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a) how many license plates are possible if each plate must have three letters followed by three numbers?
The permutation combination of license plate is 35152000.
Numbers can be 10 digits (0, 1, 2, …, 9) and 26 letters (A, B, C, ..., Z).
Repetition is allowed, leaving 26 next choices for each letter used and 10 next choices for each digit used.
Therefore, according to the multiplication principle, the total number of different letter permutations.
26× 26 × 26 = 17576
and the total number of digit permutation: 10 × 10 × 10 = 1000
now, they can be in any order:
⁶C₃ = 6!/(6−3)!3!
We have to consider 20 different combinations of positions.
So the total number of different license plates possible by the multiplication principle is
17576 × 1000 × 20 = 351520000
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What is the solution to this equation? –1.3x = 52
Answer:
Step-by-step explanation:
x=-40
a cruise director schedules 4 different movies, 2 bridge games, and 3 tennis games for a two-day period. if a couple selects 3 activities, find the probability that they attend 2 movies and 1 tennis game.
Find the value of x and y (8x-14) (5y+16) (5x34)
Answer:
x=16
y=10
Step-by-step explanation:
(8x-14) + (5y+16) =180, because together they make a straight line.
(5x+34) = (8x-14), because they are alternate exterior angles.
Solve for x:
48=3x
x=16
Let's plug that into the first equation, then solve for y.
(8(16)-14) + (5y+16) =180
128-14+5y+16=180
130+5y=180
5y=50
y=10
Which transformations could have taken place to map △ ABC to △ ABC?
The question is a spam as the correct question should be:
Which transformations could have taken place to map △ABC to △A"B"C".
The following answer has been given keeping in mind the above question.
The transformations that should have been taken place are a rotation and a dilation.
What is a rotation?
Rotation is when we rotate a figure to a certain degree. In a rotation, points and figures are turned on a coordinate plane. Majorly, rotations are about to the origin. Rotating a point about the origin can be, imagine a line connecting the origin to a point, and then rotate the line clockwise by the correct angle of rotation.
What is a dilation?
Dilation is a process of transformation in which something can be made larger or smaller. In a dilation, a point, a set of points can be expanded or contracted in relation to the origin. In expansion, the points in a figure move far away from the origin, and the side lengths of the figure increase. In a contraction, the points of the figure move closer to the origin, and the side lengths in the figure tend to reduce.
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Do linear equations have 2 answers?
The Linear equations can have 2 or more answers if the lines overlap each other .
In the question ,
it is asked that can two linear equations have 2 answers or solutions .
We know that ,
(1) two linear equations can have No Solution / Zero Solution if two lines are parallel .
(2) two linear equations can have One Solution/Unique Solution if two line intersect at a point .
(3) two linear equations can have infinitely many solution if lines overlap on each other .
So from (3) , we can conclude that linear equations can have 2 or more solutions when the line are overlapping .
Therefore , Yes, the linear equations can have two answers .
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Solve the equation: -6z - 3z =27
Answer:
Z= -3
Step-by-step explanation:
-6z-3z=27
-9z=27
/-9. /-9
z= -3
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find the sum or different 2b+8
This cannot be furtherly simplified because the sum or difference of 2b+8 depends upon the value of b.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 2b+8.
In the given expression b is the variable and 2 is the coefficient of the variable b. eight is the constant value and plus is the operator.
As there is a plus sign we need to add the two terms 2b and 8.
We do not know the value of b so we cannot simplify the expression further. The value of 2b plus eight depends upon the value of b, if it is positive then we add two terms and if it is negative we use difference,
Hence, the sum or difference of 2b+8 depends upon the value of b and cannot be furtherly simplified.
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What will be the equation of straight line passing through the point 1/2 and parallel to the line y 3x 1?
The equation of the straight line passing through the point (1/2, 0) and parallel to the line y = 3x + 1 is y = 3x - ½ with slope m1 = 3 and m2 = 3.
Given line is y = 3x + 1
We need to find equation of line parallel to this line
Let us consider the equation of line as y = mx + c
We know that two lines are parallel if they have same slope i.e. m1 = m2
Here m1 = 3
So slope of required line m2 = 3
We need to find the value of c
Let us take a point (x1, y1) common to both lines
We know that (1/2, 0) is common to both lines
So x1 = 1/2, y1 = 0
Substituting these values in y = mx + c
0 = 3(1/2) + c
=> c = -1/2
Hence the equation of straight line passing through the point (1/2, 0) and parallel to the line y = 3x + 1 is y = 3x - 1/2.
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The opposite of the opposite of 48 is _____?
Question 5 options:
A: 4.8
B: 48
C: -48
D: 0.48
Answer: It would be -48
Step-by-step explanation: Hope it helps:)
Please help meeee !!!!!
First we find number of passengers on each train.
4752/3 = 1584
Each train has 1584 passengers and 8 cars.
To find passengers per car, divide 1584 by 8.
198
Hope this helps :)
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- Jeron
S varies directly as t. if s is 20 when t is 4 then t is ____ when s is 30
Answer:
Therefore, when s is equal to 30, t is equal to 30 / 5 = <<30/5=6>>6.
Step-by-step explanation:
Direct variation means that the ratio between two variables is always constant. In this case, the constant ratio between s and t is equal to 20/4 = 5. This means that when t is equal to 4, s is equal to 20 and the ratio between the two is 5. If s is equal to 30, we can find the corresponding value of t by setting up the following equation:
s / t = 5
We can then solve for t by multiplying both sides of the equation by t to get:
s = 5 * t
If we substitute 30 for s, we get:
30 = 5 * t
We can solve for t by dividing both sides of the equation by 5:
t = 30 / 5
Therefore, when s is equal to 30, t is equal to 30 / 5 = <<30/5=6>>6.